{"text":"Question: Calculate the remainder when 644720 is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -60, -204, -432, -732, -1092?\nAnswer: -1500","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a(d) = -1362*d - 1627. Let z(f) = 38135*f + 45565. Let c(u) = -85*a(u) - 3*z(u). What is the first derivative of c(i) wrt i?\nAnswer: 1365","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -899 + 825. Which is smaller: 2\/3 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0 + 0 - 2*h + (-h + 5*h - 2*h)*(5 - 3 + 0) + 6 - 6 - 8*h - 2*h.\nAnswer: -8*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 2036?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -73 - -73.2. Let c be 87\/(-66) + (-80)\/440. What is the biggest value in s, 2\/5, c?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 75\/2 + 1\/2?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -2491, -2467, -2419, -2341, -2227, -2071, -1867, -1609?\nAnswer: -1291","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 665 minutes after 9:28 PM?\nAnswer: 8:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 2948846447 to the nearest integer?\nAnswer: 233","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {u: 3, q: 1, r: 2, d: 1}. What is prob of picking 1 r and 3 u?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 3520, 3529, 3538, 3547, 3556, 3565?\nAnswer: 3574","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -18 + 27. What is the units digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -9290 - -9317. Let d(y) = 2*y**2 - 7*y + 4. Let p be d(4). Suppose -2*g + 10 = -p. What is the greatest common factor of r and g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 70783?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 2*a**3*h**2 - a**3*h - 2*a**2*h**2 + 16*a*h**2 - 2*a wrt a?\nAnswer: 12*a*h**2 - 6*a*h - 4*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 439562.369 rounded to the nearest 100000?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*k - 3*j - 10223, 2*j + 3545 + 1569 = 2*k. Does 29 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"}
{"text":"Question: Put 3\/4, 7, -216.48 in ascending order.\nAnswer: -216.48, 3\/4, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-3)\/2 + 159\/6. Solve y = 6*y - b for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1 in -23, 1\/2, 0, 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -745*u**4 - 1349942*u**3 + 2701471*u**2 + 4061552*u + 10884 = 0 for u.\nAnswer: -1814, -1, -2\/745, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -b**6 + 1263981*b**4 - b**3 + 5*b**2 - 19*b - 15 wrt b.\nAnswer: -120*b**3 + 30335544*b - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*i + 303 = -743. Is i\/(-4) - (-4)\/16 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 4\/55469459 or 0?\nAnswer: 4\/55469459","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 39 = -4*u + 4*c + 27, 2*u - 29 = -5*c for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 1074, 2115, 3156?\n\"Answer: 1041*j + 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 8 + r + 6*r + 8 - 7.\nAnswer: 7*r + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 7 + -10. Let z be (-2 - (c + 3))*-2. Find the third derivative of -w**2 - w**3 + 3*w**3 + 2*w**3 + z*w**3 wrt w.\nAnswer: 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -1.39 * 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -257 + 461. Let l(v) = 5*v + 59. Let h be l(-11). Suppose h*s + 0*s - c = 0. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 9.5 + -9. Let v = -2.74 - -6.85. Let h = v + -0.11. What is the second smallest value in u, 1, h?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {b: 4, z: 2, q: 2}. Give prob of sequence zq.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 39*f = 128757 + 86289. Calculate the remainder when f is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.3 * -963\nAnswer: -288.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from dododddddod. Give prob of sequence ood.\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -23 + 25. Let j(d) = d + 4*d**m - 1818 + 1822 - 3*d**2 + d**3. Let k be j(0). Sort -2, k, -5, -3 in decreasing order.\nAnswer: k, -2, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -384673*j*l*q - 108*j*q**3 + l*q**3 + 55495073*l*q with respect to j.\nAnswer: -384673*l*q - 108*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 6\/9*2*(315\/100 - 3)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -36?  (a) -2\/3  (b) -2  (c) 0.4  (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -232, -160, -54, 104, 332?\n\"Answer: 3*o**3 - o**2 + 54*o - 288","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: ((-1708)\/18544)\/((-70)\/16)\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 32189425.\nAnswer: 5, 151, 8527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 1893 and 29?\nAnswer: 54897","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -3 - 0. Suppose -37 = 5*l - 47. Let j = 74.24 + -69.24. What is the nearest to -0.1 in y, j, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -3a5 (base 16) to base 12\nAnswer: -659","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q(n) = -n**3 - 9*n**2 + 4. What is the units digit of q(-9)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 28529, 54189, 79849, 105509, 131169?\nAnswer: 156829","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v(b) = b - 14. Let n be v(0). Let u be (-10)\/(-35) + (-24)\/n. Is -1*u - 81\/(-3) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -71 or -74?\nAnswer: -74","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Express -2*j**4 + 11*j**3 - 13*j**2 + 96 + 36*j + 11*j**2 - 96 as g + b*j**3 + o*j**2 + x*j + r*j**4 and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((s\/(s**(1\/4)\/s*s))\/(s*((s\/(s\/s**(1\/4)))\/s)\/s*s*s))**(-24)*(s*s**(-2\/9)*(s*s**(1\/2))\/s)\/(s*s**4*s**(2\/9)) assuming s is positive.\nAnswer: s**(145\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 528 and 240?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*d - 3*d = v - 4, 0 = -3*d - 4*v + 11. Suppose 0 = -d*q + 3*k - 10, -2*k = 5*q - 1 + 11. Let j(y) = 1 + 0 - 3*y**2 - 2*y + 1. What is j(q)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(m) = -2*m**3 - 6*m**2 - 3*m + 4. Let v(o) = 12*o**3 + 29*o**2 + 16*o - 21. Calculate -11*g(q) - 2*v(q).\nAnswer: -2*q**3 + 8*q**2 + q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 101014410 + -40?\nAnswer: 101014320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -5 + (12 - 18) + 2 + 12 + 3.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Work out 3615 + -1.\nAnswer: 3614","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 5901327700?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 394 minutes after 3:34 AM?\nAnswer: 10:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -1960, -3797, -5514, -7111?\n\"Answer: 60*t**2 - 2017*t - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w(r) = -10*r - 1. Let a be w(-1). Suppose -2*b + a + 45 = 0. Solve -x + 4*x - 5*m - b = 0, -1 = 2*x + 3*m for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 71971 + -25962. What is the thousands digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 1394 - 1380. Calculate the lowest common multiple of m and 268.\nAnswer: 1876","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence dwvs when four letters picked without replacement from {n: 2, h: 2, d: 8, v: 2, w: 1, s: 5}?\nAnswer: 2\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 10324 - 7972. Does 28 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-45)\/((-705)\/28623*29)\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 345256538?\nAnswer: 2, 11, 15693479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {d: 11, c: 3}. Give prob of picking 2 d.\nAnswer: 55\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 611 minutes before 12:48 AM?\nAnswer: 2:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 578 minutes after 12:21 PM?\nAnswer: 9:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -73372 (base 9) in base 10?\nAnswer: -48422","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 186, 9, -180, -387, -618, -879, -1176, -1515?\nAnswer: -1902","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 57324097 to the nearest integer?\nAnswer: 386","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let t(w) be the third derivative of -w**4\/12 - 25*w**3\/6 - 2*w**2 - 8*w. Let p be t(-13). Solve g - p = 2*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*c = -3*c + 3. Let v = 86 - c. What is the tens digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -b = -3*b + 572. Is (23\/2)\/(11\/b) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence iv when two letters picked without replacement from ipkvvpki.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 70*y**5 + 2894*y**2 - 2894*y**2 - 21*y wrt y.\nAnswer: 1400*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(l) be the second derivative of l**5\/20 + 7*l**4\/12 - l**3\/3 - 3*l**2 + l. Let p be m(-7). Suppose p*j - 5*j - 147 = 0. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -37 = -4*x - 4*r - 49, r = -2*x - 2 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose l + 1 = 5. Suppose -16 = 2*u - l. Find the common denominator of 79\/4 and (1\/u)\/(3\/(-136)).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 209058 is divided by 69558.\nAnswer: 384","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-106)\/27136*-1216)\/((-1)\/(-12))?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 3716604371 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 56*u**3 - 100*u**3 - 253*u**3 + 113*u**3.\nAnswer: -184*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let h(o) = -o + 80. Let f be h(-19). Let y be (-2)\/14 - f\/189. What is the nearest to -1\/4 in -0.04, y, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many milliseconds are there in one quarter of a second?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k(t) = 0*t**2 + 2*t**2 + 12 + 10*t - 3*t**2 + 0*t**2. Let o be k(7). Let p = o + -22. What is the units digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence myy when three letters picked without replacement from myyy?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: (-4)\/(-32) + 1052\/(-8)*(21\/(-4) - -5)\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 4 + -83 + (11 - (16 + -17) - 22).\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 2857 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve z + 4*n = 2228 - 2243, -z + 10 = -n for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let b(w) = 5*w**2 + 7*w - 8. Let j be b(1). What is the closest to 1 in j, 13, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 124*c**3*g**2 + 6*c**3*i - 5*c**2*g**3 - 20*c**2*i + 2*c*g**3*i wrt i?\nAnswer: 6*c**3 - 20*c**2 + 2*c*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -1855*b**3 + 1186 wrt b.\nAnswer: -5565*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -20 = -5*x, -1671 = -4*q + 3*x + 1133. What is the tens digit of q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 12\/20618147 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*l + 0*l + 2 + 3*l + (2 + 172*l + 856*l + 449*l)*(-5 + 0 + 4).\nAnswer: -1476*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 2112010 - 2?\nAnswer: 2112003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-4)\/10*540\/216.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -4138 + 12973. What is the greatest common factor of v and 310?\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n**(-7\/9)\/(n\/n**(6\/11)*n*n*n*n*n))\/(n**16\/n**27) assuming n is positive.\nAnswer: n**(472\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 670831?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 683641624?\nAnswer: 2, 1097, 77899","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 62*v = -115 - 257 for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 4 + -1 - (-1 - -2). Let o = 1793 - 1785. What is the biggest value in o, b, 0?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -i**2 + i**2 - i**3 + 0*i**3 - 2*i**3 + i**3 + (120*i**2 - 56*i**2 - 63*i**2)*(i - i - i).\nAnswer: -3*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 763461133 to the nearest integer?\nAnswer: 914","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -13 + (-2 - (-30 - 11))?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 14616 + -14377. Let y = -5 + 32. What is the remainder when u is divided by y?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 1, -9, -19, -23, -15, 11, 61, 141?\n\"Answer: y**3 - 6*y**2 + y + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 533249 to the power of 1\/6, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 14276?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in one eighteenth of a week?\nAnswer: 33600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -11*x - 20 + 53. Solve 10 = 2*o, 2*p - 6*o + x*o = -21 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence hdd when three letters picked without replacement from {r: 1, h: 1, b: 1, m: 1, d: 2, z: 1}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Convert -173 (base 10) to base 13.\nAnswer: -104","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-127)\/3048*-34*1)\/17?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -4113 + 4108.024. Round h to 1 dp.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(a) = -a**5 + a**4 + a**3 - 1. Let j(y) = 18*y**5 - 3*y**4 - 30*y**3 - 6*y**2 + 12*y + 9. Let i(q) = j(q) + 6*v(q). Find m such that i(m) = 0.\nAnswer: -1, -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(d) be the first derivative of -22*d**3 - 31. Let l(g) = -2*g. What is l(z(t))?\nAnswer: 132*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let x be ((-20)\/48)\/(5\/(-2)). Let f(u) be the third derivative of 0*u + x*u**3 + 1\/4*u**4 + 1\/60*u**5 + 0 - 4*u**2. Give f(-4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:51 PM and 11:06 PM?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 7589383 is divided by 71.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 3105 and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Work out 83 * -92106.\nAnswer: -7644798","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let a(s) be the second derivative of 2*s**4\/3 - s**3\/2 - s**2\/2 - 3*s + 25. List the prime factors of a(-6).\nAnswer: 5, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 233489 is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is one sixteenth of a centimeter in micrometers?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Divide -15 by -8117.\nAnswer: 15\/8117","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 5 - 7. Let s be (h\/(-4))\/(1\/6). Suppose 7*m - 5*g + 10 = 4*m, m - 2*g = -5. Solve d + s - 2 = -x, 10 = m*d for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -r**2 - 30*r**3 + r**2.\nAnswer: -30*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: -356998.144 * -4\nAnswer: 1427992.576","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -124.141 + 124. Let s = -1585611.8589602 + 1585612. Let t = n + s. What is t rounded to 6 decimal places?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 11708.993 to the nearest one hundred.\nAnswer: 11700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*c - 49 + 33. Solve -s - c = -0*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ii when two letters picked without replacement from irrrrruxiiirxr?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose a + 162 = 166. Let t be 153\/3 - (-1 + 1). Suppose -201 = -a*g + t. List the prime factors of g.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 29\/180 and 50\/20905119.\nAnswer: 418102380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 2, 3, 4, 5, 6, 7?\n\"Answer: d + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 2143 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let g(c) = -4*c + 153. Calculate g(31).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-840)\/(-5040))\/(6\/(-10) + (-13)\/(-30)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -15 + 15. Solve c = 2*j - 2*p - 7 + 1, -4*j - 5*p + 30 = 0 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*c = 3*c - 25. Suppose 1720001 = 2*d - a, 5*d - 3*d - 1720005 = c*a. Round d to the nearest 100000.\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: -38 + (6 - (-7 + 14)) + (-11 - (-24 + 8))\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3275 is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 69.5816 litres?\nAnswer: 69581.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 57681888 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (35 - ((39 - 17) + -115)) + -10.\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 454566 a multiple of 82?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let q(j) = -11*j - 61. Determine q(-11).\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 13154511.\nAnswer: 3, 4384837","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 19174275 and 651?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*l = -29 - 11. Let x = l + -6. Solve -v = -x*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -0*j + j + 5*s - 439, -2*j = -s - 911. Let q = 360 + j. Suppose 20*o - 9*o - q = 0. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(v) = 2*v - 2. Let k be o(3). Let d be (-1)\/k - (-18)\/8. Let p = d + 0. Solve p = u - 0 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 9\/354*(6 + (-58)\/9). Is 0 <= x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2804 = -3*n + 5*t + 6954, 4*n - 5*t - 13009 = 0. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 300 is divided by 289?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*r + 14 = -2*x, x + 0*x - 5 = -3*r. Suppose 6 - 3 = r*m. Let p(i) = i + 2 - 7*i**3 + i**2 + 0*i**3 - m + i. Determine p(-1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 3*k**2 - 17727*k + 7713684 = 0. What is k?\nAnswer: 473, 5436","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: (-5 - -4)\/((-9)\/(-36))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a*a**(1\/2)\/a)**13 assuming a is positive.\nAnswer: a**(13\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Does 42 divide 1913390052?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-8)\/3*(-3)\/4. Suppose n*y + 45*x - 41*x = 328, -3*y - 4*x + 484 = 0. Is y a multiple of 52?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence fl when two letters picked without replacement from ulllsvufuususluz?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1\/3 in 3\/8, -2\/9, 5?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let k(h) be the third derivative of h**4\/12 + 2*h**3\/3 + 2*h**2. Let x(g) = 3*g + 7. What is -5*k(c) + 3*x(c)?\nAnswer: -c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*u = 3*u - 360. What is the tens digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 86321 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((2*sqrt(91))\/sqrt(7))**2*4.\nAnswer: 208","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 187160769?\nAnswer: 3, 17, 137, 8929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let n(z) = -9*z - 55. Suppose 4*x + 14 = x + 5*w, 0 = 3*x - 4*w + 16. Let b be n(x). Let h = b + 27. What is the remainder when 171 is divided by h?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine j, given that 218 - 60*j - 25 - 7 - 48 - 4*j**2 - 2 = 0.\nAnswer: -17, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 48\/(-462) - 4\/(-14). Suppose 0 = d + d + 2. Which is the closest to d?  (a) -4\/5  (b) -2  (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 72900*c - 144072*c + 71169*c.\nAnswer: -3*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 328 and 14?\nAnswer: 2296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-3)\/7*(-54)\/(-81). Let g = 70 + -492\/7. Are g and q non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -74352 (base 8) in base 4?\nAnswer: -13203222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -105386*j**5 + j**2 + 30627.\nAnswer: -6323160*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -5 + 10. Let o be 21\/(-4) - (-36 + 31). Which is the second biggest value?  (a) h  (b) 1  (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -3  (b) -1\/6  (c) -289  (d) -8  (e) 1\/6  (f) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Sum 5 and 0.0818866.\nAnswer: 5.0818866","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*i - 4*h - 18 = 0, 0 = 2*i + 2*h + 21 + 1. Let s be (i\/39)\/((-2)\/(-18)). Let t be (s - 2)\/(1\/(-2)). Calculate the greatest common factor of 2 and t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 41065961?\nAnswer: 193, 212777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 3645 and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 61842697 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*s = -16*i + 19*i - 22, -2*i + 16 = 4*s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 894874?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 10344 (base 6) in base 15?\nAnswer: 657","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8 + 4 = 2*k - 4*n, k = 3*n + 9. Solve -3*f + k*f = 0 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 177.1 - 190. Let l = n + 13. What is the biggest value in 3, 2, l?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -2.3 and -5158927.\nAnswer: 11865532.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 0.01, -12, -4\/233, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 874 is divided by 10?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*b**2\/7 + 5508*b\/7 - 2528172\/7.\nAnswer: -3*(b - 918)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -291.29951 rounded to the nearest 10?\nAnswer: -290","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 277 minutes after 6:36 PM?\nAnswer: 11:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h**(-1\/5)\/h*h\/(((h\/(h\/(h\/h**0)*h))\/h)\/h)*(h*h**6\/h)\/h*h**(-1\/5)\/h*h*h)**(-2\/27) assuming h is positive.\nAnswer: h**(-76\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is (55\/(-44))\/(2695\/392)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v(o) = -5*o - 2*o - 2*o + 2*o. Let g(r) = 0*r + 2*r + 0*r. Calculate v(g(k)).\nAnswer: -14*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3 + 5*(4 + sqrt(475) + -3 + -6*sqrt(475))*-2 + 0)*3.\nAnswer: -39 + 750*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 21, 9, -27, -99, -219, -399?\nAnswer: -651","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z(l) = 25*l. Let w(n) = -n + 2*n + 0*n. Suppose -60*y = -35*y + 20*y + 42*y + 1740. What is y*w(r) + z(r)?\nAnswer: 5*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand -14*l**2 + 14*l**2 - 17*l**4 - 3*l**4 - 5*l**4 + l**4 + (2*l**3 + 0*l**3 + 0*l**3)*(-2*l + l + 2*l) + (-1 + 3*l**4 + 1)*(8 - 3 - 4).\nAnswer: -19*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*l - 85467 = -r - 29220, -4*l + 112494 = 2*r. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put together 5 and -828.3.\nAnswer: -823.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 2202 + 11?\nAnswer: 2220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 74, 104, 132, 158?\n\"Answer: -l**2 + 33*l + 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 363297965\/390748 + -3\/97687. Let s = l + -929. Which is the third biggest value?  (a) 3\/7  (b) -0.23  (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (3*15\/108*4)\/((-30)\/(-36))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, 4822, -2, -3, 5 in descending order.\nAnswer: 4822, 5, 3, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let a(o) = -3*o**3 - o**2 + 5*o + 4. Let u(f) = -3*f**3 - f**2 + 6*f + 5. What is -6*a(v) + 5*u(v)?\nAnswer: 3*v**3 + v**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let h(m) = 178*m**2. Let r(n) = -n**2. What is h(r(u))?\nAnswer: 178*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:28 PM and 5:47 AM?\nAnswer: 679","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let i(n) = 7*n**2 + 5*n. Let m(y) be the second derivative of -y**6\/360 + 7*y**4\/2 + 38*y + 2. Let u(l) be the third derivative of m(l). Determine i(u(r)).\nAnswer: 28*r**2 - 10*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Work out -12 * 38856982.\nAnswer: -466283784","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-1 + -1)\/((-12)\/888). Let l be (3 + t)*7 - -1. Suppose -b - l = -2*b - 2*k, 0 = -3*k - 3. Round b to the nearest one hundred.\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(r) = 2*r - 2. Let q be n(8). Let y = 43 + q. Let g = y - 231\/4. What is the nearest to 1 in -0.5, 0.2, g?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2234846.\nAnswer: 2, 311, 3593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*o = -p - 0*p - 43, 5*p = -2*o + 40. Suppose o = 8*k - 7*k. Calculate the remainder when 28 is divided by k.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-15 - (7 + (-25 - -9))) + -13?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 2743422 and 2803768?\nAnswer: 4642","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 f when two letters picked without replacement from foofoooowfwfwwoo.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -2626.06 - -2626. Which is the fourth smallest value?  (a) h  (b) -6  (c) -2\/11  (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be -151*(0\/6 + 2 + -3). Suppose 6*m - 239 = l. Calculate the remainder when m is divided by 34.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2 + ((sqrt(136) - (sqrt(136)*2*-5 - sqrt(136))) + sqrt(136) + (sqrt(136) + (-2*sqrt(136) - sqrt(136)))*2)\/(sqrt(512) - -2*sqrt(8)*1)*-3 + 2.\nAnswer: -27*sqrt(17)\/10 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -13428 + 8436 = -312*u for u.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 846323, 1692650, 2538983, 3385322, 4231667, 5078018?\nAnswer: 5924375","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (338*v + 633*v + 110*v)*(2*v - 2*v + v) + (2 - 2 + 2)*(2*v**2 - 4*v**2 + 4*v**2).\nAnswer: 1085*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -115\/6622 and 161\/22704.\nAnswer: 158928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -28 + -11. What is the common denominator of (-13)\/g - (-102)\/(-4) and 19\/8?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 4\/143 - 2\/11. What is the nearest to -2\/7 in 2, -3, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 206 - 206. Suppose 3 = 5*k - 4*k, -2*s + 4*k + 418 = h. Is s a multiple of 43?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 193029 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 797?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 19657.5755 - 3.5755. Let n = 19738.07 - h. Let c = n + -85. What is c rounded to one decimal place?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 1\/2, 0.4, 1.1, -14?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 1\/5  (b) -4\/5  (c) 1019  (d) 4  (e) 2  (f) 26\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {m: 3, t: 6, i: 1, s: 1, q: 3}. Give prob of picking 1 i and 2 m.\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3701003687?\nAnswer: 67, 227, 243343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (3570\/(-408))\/((-5)\/16). Calculate the greatest common factor of c and 322.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-1 + sqrt(27) - sqrt(243)*2)*2)**2.\nAnswer: 120*sqrt(3) + 2704","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in 34\/5 of a microgram?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00004197 rounded to 5 decimal places?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 41\/14 and 29\/418698.\nAnswer: 418698","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let z(w) = 47*w - 6. Let y(l) = 14*l - 3. Let i(f) = -7*y(f) + 2*z(f). Let s(k) = 43*k**2. Give i(s(t)).\nAnswer: -172*t**2 + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v**2\/v)**(-37)\/(v**(2\/9))**(-40)*v**7*v*v\/(v\/(v*v*v\/(v**8\/v*v)*v))*v**(-1)*v**(1\/4)*v assuming v is positive.\nAnswer: v**(-859\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 184 is divided by 35 + (-3 - 2 - -4) - 3.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 5151, 20594, 46331, 82362?\n\"Answer: 5147*c**2 + 2*c + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 961\/6 - 7\/42. Let m = 253 - b. Does 3 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*y = -y. Suppose y = 5*l - 56 - 214. Is l a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.05 - 0.2219.\nAnswer: -0.1719","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 - 1 + 4)*(-5*i**2 - 2*i**3 + 5*i**2) - 2*i**3 + 3*i**3 - 2*i**3.\nAnswer: -3*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Do 6084 and 6084 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let i(a) be the third derivative of a**4\/12 + 2*a**2. Let p(o) = 8*o + 5. Let y(j) = -15*j - 9. Let c(k) = -9*p(k) - 5*y(k). Determine c(i(x)).\nAnswer: 6*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Express (83 - 12 - 28 - 21 - 135236*j - 22)*(-3 + 4 + 1) in the form a*j + l and give a.\nAnswer: -270472","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -801*d**3*z + 3780138*d**3 + 73*d**2*z + 3*d*z - 2*z wrt z.\nAnswer: -801*d**3 + 73*d**2 + 3*d - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Sort -570, -3, -5, 5, 1 in ascending order.\nAnswer: -570, -5, -3, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((30\/((-180)\/22))\/(-1))\/(1*(-2)\/(-24)).\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -992 divided by 14.\nAnswer: -496\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -169 and 120634?\nAnswer: 120803","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let q(o) = 4*o**2 + 77*o + 18. Let z be q(-19). Is z greater than or equal to -42\/25?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 130781 is divided by 11886.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-6)\/72)\/(4\/36)*8\/195.\nAnswer: -2\/65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 93084, 93463, 94094, 94977, 96112?\nAnswer: 97499","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Put -75, -3, 197, 338, -4 in ascending order.\nAnswer: -75, -4, -3, 197, 338","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let c(h) = -5*h**5 - 18*h**4 + 6*h**3 + 17*h - 17. Let v(t) = 13*t - 7*t - 6 - 2*t**5 - 3*t**3 - 6*t**4 + 5*t**3. Let f(n) = 6*c(n) - 17*v(n). Factor f(k).\nAnswer: 2*k**3*(k - 1)*(2*k - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -121\/2 + 2787\/46. Which is the nearest to 0.2?  (a) 6\/7  (b) n  (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -315 + 1267\/4. Let t be 0 - (-2 + -7 + -5). Suppose 20 = 5*x - 0*j - 5*j, 4*x + t = -2*j. Which is the nearest to x?  (a) 2  (b) -5  (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 266, 376, 484, 590?\nAnswer: 694","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-9)\/(-18)*(-165)\/(-20)*96\/36.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 3168 - 848. What is the units digit of o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.5 and -3.6.\nAnswer: 1.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -1 or 62\/296591?\nAnswer: 62\/296591","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -64568 times 4?\nAnswer: -258272","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence cz when two letters picked without replacement from yycyurz?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let q(w) = -2589*w**3 - w**2 + 11*w + 10. What is the remainder when q(-1) is divided by 74?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 239*r - 4 = 238*r. Suppose -7*f + 4617 = -r*f + 5*b, 6145 = 4*f + 3*b. List the prime factors of f.\nAnswer: 2, 13, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: -10804 divided by -148\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 19.249 + 0.151. Let a = 82.8 - b. Round a to the nearest 10.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -3\/10, -4, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: (1\/4)\/(7\/((-252)\/(-3)))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 291 - (4 - ((-4)\/(-2) - 3)). Let f = d + -166. What is the highest common factor of f and 300?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (2480\/(-48))\/((-4690)\/1407).\nAnswer: 31\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: -2.83 * 35\nAnswer: -99.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Round 620407.5729 to the nearest ten.\nAnswer: 620410","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 8029?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 7.2 and -185.07?\nAnswer: 192.27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 186658820*h**2 - 215660018*h wrt h.\nAnswer: 373317640","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 13927 + -808?\nAnswer: 1311d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*x - 4*t - 68 = 0, 5*t + 4 + 39 = 3*x. Let o = 42 - x. 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: Evaluate -2 - -7 - (0 + 3).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 254*x - 570 - 954 = 0 for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Put 408, -5, 6 in ascending order.\nAnswer: -5, 6, 408","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(3) + 1)*2 + (sqrt(3) + sqrt(27))*-3 - (1 + (sqrt(33)*-2)\/sqrt(11)).\nAnswer: -8*sqrt(3) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in 9\/16 of a hour?\nAnswer: 2025","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 39 = -12*l + 111 for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 322721 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(68) + (sqrt(68) - (sqrt(68) - (sqrt(68) - (sqrt(68)*1 - sqrt(68))))*-1))\/(sqrt(64)\/sqrt(4)) + -4 + 0 + (0 + sqrt(17))*-2.\nAnswer: -sqrt(17) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 27134 is divided by 201?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Does 244 divide 634156?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -18*g**2*p**3 - 6*g**2*p**2 - g**2*p - 23*p wrt p.\nAnswer: -108*g**2*p - 12*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let f be ((-192)\/28)\/4*(-371)\/106. Solve 0 = 3*j - 4*p - 26, 5*j - 23 = f*j + 5*p for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00055204 to five decimal places.\nAnswer: -0.00055","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let z be -2 - 60\/(-9) - 122\/183. Solve -z + 9 = 5*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify c**(4\/7)\/(c*c**(-6\/7)) assuming c is positive.\nAnswer: c**(3\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 0 - -1. Let w(x) be the third derivative of x**5\/60 + x**4\/3 + 2*x**3\/3 - x**2. Let q be w(-8). Calculate the highest common divisor of j and q.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 21118015406 - 17423.\nAnswer: 21117997983","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let y(g) = -6*g - 2. Let m(r) = -30*r - 11. Calculate -4*m(q) + 22*y(q).\nAnswer: -12*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let d(r) = -r - 3. Let f(n) = 3*n - 5. Let p be f(2). Let j(q) = -1. Let l be 3*2*(-2)\/4. Determine l*j(c) + p*d(c).\nAnswer: -c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4 divided by -107.\nAnswer: -4\/107","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 820945 and 113.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 502 minutes before 6:12 PM?\nAnswer: 9:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let z(u) = -10*u**2. Let i(y) = 707*y - 11 - 708*y - 14. Determine z(i(o)).\nAnswer: -10*o**2 - 500*o - 6250","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let w(b) be the second derivative of -b**7\/8820 - b**6\/1260 - b**5\/420 + b**4\/6 + 2*b. Let g(r) be the third derivative of w(r). Solve g(x) = 0 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: -7*0.36\nAnswer: -2.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let p(x) be the third derivative of x**5\/60 - 17*x**2. Let a(l) = 19*l. Give p(a(q)).\nAnswer: 361*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -3493 - -3639. What is the remainder when y is divided by 45?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(i) = 216*i**3 - 16*i + 391. Let z(f) = 215*f**3 - 12*f + 392. Let g(s) = 3*m(s) - 4*z(s). Differentiate g(c) wrt c.\nAnswer: -636*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 3\/((40\/180)\/(2\/(-3)))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*a - 6*a + 4*a)*(-3 + 3 + 4)*(-4*a + 0*a + 12*a).\nAnswer: 32*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 337 minutes before 2:56 PM?\nAnswer: 9:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 11493093.\nAnswer: 3, 83, 101, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 2*u - u - 3*h + 4, -5*h - 16 = 4*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let f be ((-10)\/6)\/(-5)*-6. Let g(q) = -q**3 - 2*q**2 + q + 1. Let o be g(f). What is the second smallest value in o, 2\/5, -3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5204429 times 3?\nAnswer: 15613287","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -71*i = -68116 + 62436. Suppose 64 = 4*x - 3*f, -x + 4*x + f = 35. Suppose x + 53 = 3*g + 5*p, g = p + 30. What is the remainder when i is divided by g?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0014979 to 5 decimal places.\nAnswer: -0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let t(y) = -6813*y + 1. Let a(w) = -30*w**2. Calculate t(a(j)).\nAnswer: 204390*j**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify v**(2\/3)\/v**(-7)*(v**(2\/3)*v*v)\/v**2 assuming v is positive.\nAnswer: v**(25\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -87\/50 and -67\/260.\nAnswer: 1300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is -77926 divided by 47?\nAnswer: -1658","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*l - 9 = j, 5*l = -2*j - 2 - 19. Let g(h) = h**2 + 11*h - 16. Let o be g(j). Find k such that 18*k**2 + 17*k - 3*k**2 - k**3 - o*k + 10*k**3 + 1 = 0.\nAnswer: -1, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (1*4\/(-12))\/((-1)\/(-3)). Is ((-261)\/(-6))\/a*1258\/(-51) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -3*h**4 + 5*h**3 + 243*h**2 + 8*h - 1151616 wrt h.\nAnswer: -12*h**3 + 15*h**2 + 486*h + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose v + 23 - 66 = 0. What is the remainder when v is divided by 22?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5 - g**5 + 5)*(757 - 284 + 1630 + 910).\nAnswer: -3013*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 122*x - 152*x + 97650 = 0. What is the thousands digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2065163 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1190\/2660*-38 + (20 - -1) - -23.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 9 - ((-2 - -1) + 4).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -78\/1169 or -2\/7?\nAnswer: -78\/1169","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15*p - 16*p - 18 = 0. Let n be (-175)\/(-45) - 2\/p. Suppose q - 3*o - 16 = -o, 52 = 4*q + n*o. List the prime factors of q.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (6*v + 7*v - 2*v)*(3 - 2 + 0).\nAnswer: 11*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2*u**2 + 5845*u - 5845*u - 1 + u**3 to the form d*u + s*u**3 + j*u**2 + g and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let f(t) = 39*t - 1273. Determine f(130).\nAnswer: 3797","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 344131 and 323?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -15467*1471.\nAnswer: -22751957","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -0.02  (b) 91.37  (c) 0  (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 10671841 to the power of 1\/2, to the nearest integer?\nAnswer: 3267","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 252344040 to the nearest integer?\nAnswer: 632","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 201 and 1273.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*k + 16 = -5*u, 0 = -2*k - 3*u - u - 18. Let q = 11 - k. Is 12 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -4 + 6. Let r = u - -22. Let o(y) = y**2. Calculate the remainder when r is divided by o(-3).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2454 is divided by (-8)\/(-7) - (-6640)\/560?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (8*w - 51 + 51)*((-12 + 13 + 17)*(2*w - w + 0*w) - 2*w - 2*w + 2*w) as i*w + t + h*w**2 and give h.\nAnswer: 128","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let 3*z**2 - 61518453*z - 246073860 = 0. What is z?\nAnswer: -4, 20506155","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let a(i) = -i**3 - 4*i**2 + 13*i + 4. Give a(-6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-434*y - 2981*y + 403*y)*(-4 - 2*y + 4) to g*y + o*y**2 + q and give o.\nAnswer: 6024","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Put together -2 and -0.028126.\nAnswer: -2.028126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 109.152 - 0.152. Let x = -108.47 + f. Let n = 4.47 + x. Which is the third smallest value?  (a) -0.1  (b) -10  (c) 0.1  (d) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f**(-7)\/f*f\/(f*f**(-2\/7)))**(6\/13) assuming f is positive.\nAnswer: f**(-324\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 230297\/24 - 9594. Find the common denominator of b and -67\/84.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: -185172834 divided by -6\nAnswer: 30862139","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -6, -0.1, -0.3, 543619\/2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 0.5  (b) -255  (c) 2  (d) 2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*c + 19*c + 28*c.\nAnswer: 45*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let p(u) = -6*u + 49. What is p(15)?\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*a**4 + 95*a**3 + 35*a**2 - 5135*a - 5070.\nAnswer: -5*(a - 13)**2*(a + 1)*(a + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -79\/27640 and -97\/300.\nAnswer: 414600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 55 + -55. Suppose 9*z + 2 + 97 = r. Let c = z - -28. Solve m + 3*o = -13, -o - c = -m + 2*o for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11 = 7*q - 17. Suppose 2*r + 6 = 5*r. Put q, r, -2 in decreasing order.\nAnswer: q, r, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*u + 45 = 5*m, -5*u + 0*u - 17 = -3*m. Suppose -n + 5*n = g - 115, -2*g - 4*n = -206. What is the remainder when g is divided by m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let s(t) = 4*t**2 - 4*t - 5. Let c(m) = m - 2. Let l be c(7). Let k(r) = -4 - r**2 + 6*r + 12 - l*r**2. Give -5*k(i) - 8*s(i).\nAnswer: -2*i**2 + 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 24 = 5*j - 2*b, 4*j - 6 = -4*b + 30. Let g be (-2)\/5 + j\/15. Suppose -u = -5, -5*w + 3*u + 19 + 36 = g. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 1 + 198*d**3 - 99*d**3 - 24*d**4 - 100*d**3 in the form w*d**4 + v + i*d**2 + k*d + l*d**3 and give w.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let q(z) = -z**2 + 9*z - 17. Let w be q(7). Let j be (12\/(-5) - w)\/(1\/5). Solve -1 = -4*k + j for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (4 - 2)*(-43 + 3). Let o = 137 + j. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -15*f**2 + 9*f**2 + 3*f**2 + 4*f**2 as k + n*f**2 + z*f and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 49805935, 49805968, 49806023, 49806100?\n\"Answer: 11*p**2 + 49805924","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 1315553354432\/252903 - 5201810. Let q = -1181308\/138337941 + x. Let o = q + 67589\/36102. Find the common denominator of o and 101\/6.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -737900.9596 + 738151. Let r = x - 250. Round r to 2 decimal places.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add together -0.3 and -437565920.\nAnswer: -437565920.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let o(r) = 3*r**2 - 26*r + 2. Let k(y) = 8*y**2 - 30*y + 2. Calculate -4*k(x) + 5*o(x).\nAnswer: -17*x**2 - 10*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 18 - 18.19. Let j = z - 0.81. Which is the third smallest value?  (a) j  (b) 0.05  (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -13*u = -4*u - 4374. Let p = 490 - u. Sort p, -5, -3, 5 in descending order.\nAnswer: 5, p, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -281*a**3*z**3 - 229*a**3*z - 21*a**2*z**4 - 55*a**2*z**2 wrt z.\nAnswer: -1686*a**3 - 504*a**2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 47 and 0.5?\nAnswer: 23.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let z(m) = 9*m**2 - 1. Let c(y) = -18*y**2 + 2. Let i(o) = -26*o + 967. Let q be i(37). Calculate q*z(u) + 2*c(u).\nAnswer: 9*u**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -27\/433568 and -71\/238?\nAnswer: 3034976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Do 0.2 and 2008087 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let f(p) = -23*p - 27. Let g(w) = -20*w - 26. Let u(x) = -3*f(x) + 4*g(x). Let q be 61\/(-5) - (-1)\/5. Is 25 a factor of u(q)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(u) = -u**2 + u - 1. Let q(o) = -o**2 + o - 5. Suppose -8 = -5*w + 4*i - i, -4*i = 4. Let x be -3*(0 + -2 + w). Give x*h(p) - q(p).\nAnswer: -2*p**2 + 2*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -j + 17 = 3*j + 3*w, 5*j + 5*w = 25. Let n(b) = -450 - b**2 + 454 - 3*b + 2*b**j. Let y = 0 + 4. Determine n(y).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from jjzjajjza. Give prob of picking 2 a.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -13 - -14. Calculate the remainder when 3 is divided by a.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -12\/41 + -17\/82. Let n = 0.1 - -0.2. What is the smallest value in -0.4, n, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(z) = 10*z + 6. Let y be h(8). Is 86 >= y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -540 - -744. What is the lowest common multiple of 24 and h?\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 10\/3*l**2 - 4\/3*l + 0 + 2\/3*l**4 - 8\/3*l**3.\nAnswer: 2*l*(l - 2)*(l - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 10*y**2 - 54*y**2 + 27*y**2 + 21*y**2 - 7*y**2.\nAnswer: -3*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*v = f - 1506, -579*v + 578*v - 4*f = -502. Calculate the remainder when v is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 16\/((-80)\/(-648)*(-12)\/(-20)). Calculate the highest common divisor of 576 and w.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-43 - 75 + 89)*(2 - 2 + 2*h) to the form s*h + b and give s.\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let k(i) = -i**3 - 9*i**2 - 6*i + 10. Calculate k(-7).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -69*d - 83*d = -32*d + 720 for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -86896317, -173792640, -260688963, -347585286?\nAnswer: -434481609","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 305 - -1.9?\nAnswer: 306.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 126 - 62 + 2*m - 64.\nAnswer: 2*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Express (-22 + 10 - 36)*(-4 + 1 + 0)*(2*x + 2*x**3 - 2*x) as d*x**2 + v*x + k + s*x**3 and give s.\nAnswer: 288","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 6\/5, 1, -64, 8, -0.27?\nAnswer: -0.27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 572867 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -171 + 378. List the prime factors of k.\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -19, 19, 101, 227, 397?\n\"Answer: 22*u**2 - 28*u - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 160 minutes after 8:39 AM?\nAnswer: 11:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let p(i) = -51*i - 1. Let f be p(-14). Suppose -v = -4*t + f, t - 182 = 7*v - 3*v. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence rba when three letters picked without replacement from {l: 1, r: 1, a: 3, n: 1, b: 3, i: 10}?\nAnswer: 1\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 1.3 + 10.7. Let v = -0.4 - 6.6. Let y = v + w. What is the closest to -0.1 in -0.1, -1\/8, y?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:37 PM and 3:35 AM?\nAnswer: 238","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: 4 divided by -184\nAnswer: -1\/46","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let s(g) = -271*g + 536. Give s(2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let w(c) = 6*c + 14. What is w(6)?\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -0.128 - -0.059. Let a = 0.131 - c. Sort -0.3, a, -21\/5, 4.\nAnswer: -21\/5, -0.3, a, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -s = 2*k - 2 - 25, 3*s + 3*k - 69 = 0. What is the third derivative of -s*d**2 + 22 + 61*d**4 - 7 + 17*d**2 wrt d?\nAnswer: 1464*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 126 minutes after 4:23 AM?\nAnswer: 6:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (1 - 0)\/(14\/28). Solve 3 = -j - i*j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(180))**2 + -2 + -2.\nAnswer: 176","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 35 is divided by (48\/6 - 4)*14\/4.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(k) = 3*k**3 - 285*k**2 + 301*k + 567. What is o(94)?\nAnswer: 2353","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 328 minutes before 7:19 PM?\nAnswer: 1:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let m(f) = -56*f + 409. Let b be m(5). Which is bigger: b or 123?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -18 - 17 - 14 + 4 - l to the form y*l + c and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 60\/25*(-20)\/(-8)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 4\/(-6) + (-38)\/6. Let l = t - -12. Solve -l = -k - 1 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*(3 + sqrt(2))*-2 + -5)**2.\nAnswer: 4*sqrt(2) + 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Convert -111111 (base 2) to base 8.\nAnswer: -77","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w(d) = -15*d + 1. Let j be w(1). Let b(f) = f**3 + 14*f**2 - 18*f - 6. Let m be b(j). Suppose -5*o = -m + 21. List the prime factors of o.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -a + 0 + 2 = 0. Suppose 16 = 3*y - a*y. What is the least common multiple of 4 and y?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*z - 2 = -2*f, 0 = -5*f + z + 4*z + 5. Let p(l) = l**2 - 10*l - 5. Let w be p(10). Calculate the remainder when (-2)\/(1 + 2 + w) is divided by f.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many nanometers are there in twenty-seven halves of a micrometer?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 112 + 6 + -16 + 0 - -12 - 14?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -84 - -76. Let k = -2579801.000002 + 2579793. Let t = k - x. What is t rounded to six decimal places?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 4\/(-1)*1\/22. Which is smaller: 0 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -887aa68 - 3?\nAnswer: -887aa70","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 18649*b - 15243.\nAnswer: 18649","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -v**3 - 8011*v**2 + 8011*v**2.\nAnswer: -v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -60, -56, -40, -6, 52, 140, 264, 430?\nAnswer: 644","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 40 and 20?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 140162011 and -3420068?\nAnswer: 143582079","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let k(l) = -23*l**2 + 143*l + 7. Let o(m) = -12*m**2 + 71*m + 3. Let n(b) = 2*k(b) - 5*o(b). Let f be n(5). Let y = -13 + 22. Solve -x - y = -f*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*p + 29 = -40. Calculate the remainder when p is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1 + (-5*1*sqrt(21)\/sqrt(3))**2.\nAnswer: 174","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let x(q) = -33*q**2 - 4*q + 4. Let j(p) = 16*p - 1583. Let m be j(101). Let z(r) = -264*r**2 - 33*r + 33. Give m*x(i) - 4*z(i).\nAnswer: -33*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 + 2 + 2*p)*(-p**3 + 0*p**3 + 2*p**3)*(-1 - 19*p - 91*p + 43*p).\nAnswer: -134*p**5 - 2*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Add together 0.18879 and -2.73.\nAnswer: -2.54121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from pjpjpp. Give prob of sequence jjp.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -0.149  (b) 5  (c) -386.1  (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*p + 4*p + 3*a - 12 = 3*p, -8*a + 10*a - 30 = -4*a for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -28 - -27.86. Let y = -2.86 + q. Which is the nearest to -1\/3?  (a) 0  (b) y  (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1\/4?  (a) 6  (b) -2438  (c) 2.4  (d) 1\/2  (e) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: 38*-4\nAnswer: -152","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let g(z) = -38*z - 1030. What is g(-23)?\nAnswer: -156","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 107525, 430214, 968027, 1720964?\nAnswer: 2689025","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (2*4\/12)\/(92\/6).\nAnswer: 1\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l(k) = 49*k**2 - 2*k + 4. Let m(u) = -u + 1. What is -l(s) + 4*m(s)?\nAnswer: -49*s**2 - 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let t(y) = 2*y**2 + 2*y - 1. Let p = -10 + 11. Suppose -5*i - p + 6 = 0. What is t(i)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, -10409, 1, 243, 0, -4, 4.\nAnswer: -10409, -4, -1, 0, 1, 4, 243","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10 - 10 = -2*s + 2*b, 4*s + 4*b = 0. Suppose s*w - 88 = -23. Let a(x) = 0 + 5 - 1 + 9*x. Let f(i) = 4*i + 2. What is w*f(q) - 6*a(q)?\nAnswer: -2*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 25 = -3*i + 4*i. Let s be (0\/(-12))\/(-7 - -14). Let j be (-2)\/(-6) + (-42)\/(-9). Solve -5*z = 2*y - s*z - i, 5*y = -j*z + 40 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 2485 and 245?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -3 + -3. Let r(x) = -4*x**3 + 6*x**2 - 6*x + 5. Suppose -9*a + 7*a - 2 = 0. Let z(q) = q**3 - q**2 + q - 1. Calculate a*r(k) + y*z(k).\nAnswer: -2*k**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -65 - -68. Suppose 0*t + 6 = 2*n - 3*t, 9 = x*n + t. Solve b + 1 = n for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 104 minutes before 12:05 AM?\nAnswer: 10:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -6 + 62 + -7 - (0 + (0 - (-7 - 1))).\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -0.66 + 0.6. Let q = l - 1.94. Let j = -1.99999968 - q. Round j to 7 dps.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*b + 4*z = -1, -2*b + 456 = -4*z + 462 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let x(n) = -n**2 - 4*n**2 + 4*n**2. Let l(c) = -4*c - 2. Let r(p) = 9*p + 5. Let a(q) = -5*l(q) - 2*r(q). Calculate a(x(k)).\nAnswer: -2*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 835670 is divided by 3958?\nAnswer: 532","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:01 PM and 1:55 AM?\nAnswer: 354","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*i = -4, 6*t - 20*i - 251 = 2*t - 327 for t.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 42 + -24. Let r = 23 - w. Solve -j + 4*j = 0, r*j + 15 = 5*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1 less than 1086\/559?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, 7095, -6.\nAnswer: -6, 3, 7095","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -58 - 316 = 34*m for m.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 + 4 - (18 - (-12 + (-24 - 27)))?\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -6?  (a) 0.12  (b) -269  (c) -3  (d) 0.2  (e) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-3)\/1 - -4 - 5*(-16)\/(-40)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 55474, 55475, 55476, 55477?\nAnswer: 55478","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 387043494\/70313 + 8517428735221\/1278290340. Let v = 36296\/909 + p. Let a = v + -12211. Calculate the common denominator of -89\/20 and a.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15906 - 83916 = -15*a. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (7 - 3)\/(240\/230 - (-2)\/(-46))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 2678 and 5356?\nAnswer: 5356","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let n(v) = -v**2 - 7*v + 8. Let d be n(-14). Let c be (-380)\/d - (-2)\/(-9). Is 4 equal to c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.18047 take away 4.53?\nAnswer: -4.71047","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let w(p) = -3*p**3 - 4*p**2 - p + 2. Let t be w(-2). Suppose 2*s + 3 = l, -s = -4*l + 4*s + t. Solve 4*r - l = r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -86202, -172388, -258588, -344808, -431054, -517332, -603648?\n\"Answer: -z**3 - z**2 - 86176*z - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5*((sqrt(64) + (sqrt(64)*-2 + sqrt(64))*-4)\/(sqrt(16)\/sqrt(2)*6))**2.\nAnswer: 250\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 98810038597 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 79 and 20461.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -11*q - 27*q + 13470 = 12976 for q.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let j(t) = 3*t. Let p = -1 - -3. Suppose -o + 0*o - 6 = -p*w, 0 = 5*o + w - 25. Let u(z) = -o + z + 4. What is u(j(g))?\nAnswer: 3*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose c - 2*i = 10, 3*c - 14*i = -19*i + 30. Solve 0 = 3*w + 4*k - 5, 0*k = 4*w + 2*k + c for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 65 + -32. Suppose 4*a = a + r. Suppose -d - a = -6*d + 2*j, -4*j = -8. Calculate the greatest common divisor of 12 and d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 3330320 - 1021?\nAnswer: 3323233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*w = -2*w + 138. Let z = w + -14. Does 23 divide ((-14)\/4)\/(z\/(-414))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*s - 44012 = -9*n + 4*n, 2*n = -2*s + 17606. List the prime factors of n.\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 1 and 23?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 2, 116, -5, 2\/3, 0.021?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00000020726 to 7 decimal places.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let a(q) = 2*q**2 - 6*q + 21. Let z be a(0). What is the greatest common divisor of 105 and z?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (23*w + 1 - 22*w - 15)*(-1 + 2 - 3)*(-1215 - 207 + 214).\nAnswer: 2416*w - 33824","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 23302.\nAnswer: 2, 61, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3 + (3 + sqrt(11))*-2.\nAnswer: -2*sqrt(11) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -46 - (10 + 3 + -10)?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 3158?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 27524, 27527, 27532, 27539, 27548?\n\"Answer: m**2 + 27523","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q(b) = 64*b**2 - 3*b - 19. List the prime factors of q(6).\nAnswer: 2267","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(t) = 6*t + 19. Calculate w(-4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*k = 3*x + 155, -20103*x + 127 = -20106*x + 5*k for x.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 1294*r - 2548*r + 1280*r + 26 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Factor -x**4\/4 - 7*x**3\/4 + 115*x**2\/4 - 125*x\/4 - 375\/2.\nAnswer: -(x - 5)**2*(x + 2)*(x + 15)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -173 - -168. Let o(k) = k**2 + 2*k + 3 - 2 - 3. What is o(t)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0?  (a) 0  (b) 5\/13  (c) -20\/59  (d) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 393399 - 38060992.\nAnswer: -37667593","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Express (-2549*m + 5251*m + 1 - 2563*m)*(-23 + 13 + 9*m**2 + 12) in the form b + a*m + p*m**3 + j*m**2 and give p.\nAnswer: 1251","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1633471 is divided by 1904.\nAnswer: 1743","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {u: 2, l: 8, f: 4}. What is prob of sequence fuff?\nAnswer: 2\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 3560 and 2?\nAnswer: 3560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*g - 84 = -g. Let s = 29 + g. Let o be 5\/(-4*(-2)\/s). Solve 2*i + 3*j + 0*j = 7, 0 = -o*i + 3*j + 28 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4 + 2 = -6*y. Which is the nearest to y?  (a) 0  (b) 0.1  (c) -0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 6 + -1. Suppose -4*b - 11 + 1 = 2*k, 0 = -k - t*b - 17. Suppose k = 4*x - 5. Solve x = -c - 0 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 divided by 26254866?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 2\/15 of a day in seconds?\nAnswer: 11520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -8.4 - -8.5. Let s = 4 + -7. Suppose 5*w - 3*w = 8*w. Which is the nearest to u?  (a) 4  (b) w  (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(p) = 2*p**2 - 5*p + 6. Let b be f(4). Let y be 10\/3*b\/3. Let q = -4 - -12. Calculate the highest common divisor of q and y.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(y) = y**3 - 8*y**2 + 13*y - 4. Let m be r(6). Let x(f) = 17*f - 67. Let v be x(4). Which is the closest to m?  (a) 4  (b) 5  (c) -1.1  (d) v\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 22258 - 4.\nAnswer: 22254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 642 - 516. Let h = f - 100. Suppose -8 = -d + 18. What is the greatest common factor of h and d?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2602494.\nAnswer: 2, 3, 144583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let a(d) = 4*d - 8. Let p(u) = -1. Let k(b) = a(b) - 8*p(b). Let x(q) = 3*q**2 + 8*q - 5*q**2 - 8*q. Give x(k(w)).\nAnswer: -32*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r**(3\/7)*r**(-1\/2)*r*r)\/(r**3)**(-26\/9) assuming r is positive.\nAnswer: r**(445\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -37\/34 + 10\/17. Which is the nearest to y?  (a) -2  (b) -2\/7  (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 0 - 4. Let a be 33\/2 + 2\/w. Let y = a - 11. List the prime factors of y.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:00 AM and 10:03 PM?\nAnswer: 663","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 27\/2 of a century?\nAnswer: 16200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -4 in 0.6, -1849, 1\/3, 4?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 208 - -171. Let v = w - 183. Is v a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 2\/9, -8\/3, -1, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -15 - -10. Let d = w - -5.3. Let q = -263\/3 - -87. Which is the third biggest value?  (a) q  (b) d  (c) -0.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 995046908?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let t(n) = 71*n**2 + 7*n - 4. Let k(h) = -71*h**2 - 9*h + 6. Determine -3*k(m) - 4*t(m).\nAnswer: -71*m**2 - m - 2","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"}
{"text":"Question: Let k = -973 - -5416. Suppose k + 1997 = 14*z. What are the prime factors of z?\nAnswer: 2, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(x) be the third derivative of x**4\/24 - 7*x**3\/6 + 762*x**2. Calculate a(-8).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*m + 4*h + 0*h - 9 = 0, 4*h = 0. Does 8 divide (31\/5 + m)*(3 + 2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(68)\/((sqrt(32) - sqrt(512))\/sqrt(8)) + (sqrt(1700) - 6*1*sqrt(1700)) - 2*4*((sqrt(17) - (sqrt(17) + 1*sqrt(17))) + -1)*-5)**2.\nAnswer: 21680*sqrt(17)\/3 + 1262897\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let g(w) = w + 3. Let y = 26 + -26. Suppose y = 3*i - 9. Determine g(i).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -66 = -3*t - 3*f, -3*t + 3*f - 24 + 120 = 0. Calculate the remainder when 3860 is divided by t.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*g - 4768 = 9912. List the prime factors of g.\nAnswer: 2, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 206024 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let a(r) be the third derivative of -r**6\/120 - r**5\/10 - r**3 + 28*r**2. Suppose -24 = 2*k + 2*k. Determine a(k).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*q + 5*p = 28605, -3*p = -14*q + 12*q + 11437. What are the prime factors of q?\nAnswer: 2, 5, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"}
{"text":"Question: How many years are there in 34\/5 of a century?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 406, 571, 450, 49, -626, -1569?\n\"Answer: n**3 - 149*n**2 + 605*n - 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 17322476?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Convert -e8d (base 15) to base 9.\nAnswer: -4447","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 24\/(-10 - -4) + 7.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*w - 5*f = -21*f - 249 - 262 + 411, -12 = -3*w + 3*f for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 14*z - 100*z = 516 for z.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 1810 to the power of 1\/2, to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -112, -218, -324, -430, -536, -642?\n\"Answer: -106*a - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 7135864?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Divide 265 by -168.\nAnswer: -265\/168","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let b(l) = l**3 + 20*l**2 + l - 4. Let c be b(-20). Which is smaller: c or 1\/4?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 94317 to the nearest integer?\nAnswer: 307","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 38 - 40*v + 11*v + 13*v - 39 + 50 - 49.\nAnswer: -16*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 36\/(-24)*(-8)\/54. Which is the second biggest value?  (a) -0.4  (b) s  (c) 3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(d) = -d**2 + 70*d + 152. Let f(h) = -10*h**2 + 770*h + 1670. Let b(w) = -4*f(w) + 45*s(w). Factor b(k).\nAnswer: -5*(k - 16)*(k + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 3, 4, 6\/5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let n(d) be the second derivative of 5*d**4\/4 + d**3 - d**2\/2 - 8*d. Let v(f) = f - 1. Let z(q) = -n(q) + v(q). Find the second derivative of z(r) wrt r.\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 16858131?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 302 + (2 - 0) - 6 and 16?\nAnswer: 2384","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -13*f + 3*f = 4020. Is 9 a factor of ((-32)\/24)\/(8\/f)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -0.49 + 0.4799. What is j rounded to 3 decimal places?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 3432 and 6600.\nAnswer: 85800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let v(a) = -93*a + 77. Determine v(1).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 8\/35?  (a) -1\/5147  (b) 3\/2  (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-24)\/(-14) + (-16)\/(-56). Suppose 5*k + 48 = -v*b, b = 4*k - 3*b + 44. Let g be (0\/k)\/(1 + 0). Solve l + l = g for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {d: 3, f: 11}. Give prob of sequence fddf.\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 25916831?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -5 divided by 209659.\nAnswer: -5\/209659","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-2)\/(-4) - 209\/(-22). What are the prime factors of (39\/(-15) - -3)*q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 2909 divide 140885779?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: 0.01251 times -3.9\nAnswer: -0.048789","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 56, 106, 134, 128, 76, -34, -214?\nAnswer: -476","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -1278*g**2*j**3 + 1455*g**2*j**2 - 232*g**2 - 4*g - 1753 with respect to j.\nAnswer: -3834*g**2*j**2 + 2910*g**2*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 376 - -12*(-2)\/(-4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-2*f**4 - 4*f**2 + 4*f**2)*(141 - 26 + 81 + 64) in the form c + d*f + k*f**3 + x*f**4 + y*f**2 and give x.\nAnswer: -520","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve a = -5*f + 29, -3*f - 38 = -50 for a.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ene when three letters picked without replacement from pmpplnpfleenp?\nAnswer: 1\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let p(f) = 10*f**2 + 174*f - 402. Let s(t) = 32*t**2 + 526*t - 1208. Let z(l) = 10*p(l) - 3*s(l). Differentiate z(i) wrt i.\nAnswer: 8*i + 162","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 27931?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -q**5\/4 + 39*q**4\/2 + 41*q**3\/2 - 59*q**2 - 81*q\/4 + 79\/2 = 0 for q.\nAnswer: -2, -1, 1, 79","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-197*p + 197*p + 28*p**2)*(3 - 4 - 2)*(-2 + 3 - 3)*(-20 + 14*p + 20) to the form d*p**2 + q + z*p + c*p**3 and give c.\nAnswer: 2352","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Add 1418.5 and 15.92913.\nAnswer: 1434.42913","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.564 in 0, 1.206, 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: 55\/(19305\/52)*-1*(-3)\/2\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 54607 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 53a73 (base 14) in base 3?\nAnswer: 101021121022","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"}
{"text":"Question: Let h = -40192 + 62535. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*v + 7 = 2*u, -7*v - 62 = 3*v + 3*u for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let y(l) be the second derivative of -3\/2*l**2 - 5\/6*l**3 + 1\/20*l**5 + 1\/12*l**4 - 18*l + 0. Determine y(-3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(7) - (sqrt(448) + -3))**2 - (3 + sqrt(567))) + -4*(2 + (2*sqrt(175))**2 + sqrt(175)).\nAnswer: -2459 - 71*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 12 - (-18 - (-46 + -3)).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 10 or 14651\/1338?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 76 is divided by 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1 = 10*l + 71 for l.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*t**3 - 2265*t**2 + 9140*t = 0. What is t?\nAnswer: -457, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 106040171 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -36533, -73056, -109579, -146102?\n\"Answer: -36523*y - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z(q) = -q**2 + 106*q - 1587. Give z(88).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 166765927*k**5 - 10704*k**2 - 280*k - 8 wrt k.\nAnswer: 10005955620*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2 in 5, -4, 6, -38\/7?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15*g = -16*g + 225. Suppose g = -2*o + 1061. What is the hundreds digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s**(-18)*s*s*s**(-4))\/(s**(-2\/7)*s**(-13\/5)) assuming s is positive.\nAnswer: s**(-599\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -13 + 18. Suppose 0*u = -5*u + v. Is u greater than -2\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 139215*x**3*y**2 - 34*x**3 - 12468*x wrt y?\nAnswer: 278430*x**3*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is bdfa (base 16) in base 13?\nAnswer: 191a1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((i**1)**18*i**(-4)*i\/(i**(1\/6)\/i))\/((i**(-3)\/(i**5\/i))\/((i**(-1\/3)*i)\/(i**(-1)\/i))) assuming i is positive.\nAnswer: i**(51\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 6427?\nAnswer: 6427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is (1\/(-18))\/(44\/(-15048))?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (10 + (3 - 10))*1\/6.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -4\/31 or -37675?\nAnswer: -37675","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from lllllllulllllll. What is prob of sequence ul?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Product of 12 and 171646.\nAnswer: 2059752","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -2 + 1. Let i = -0.1 - -0.2. Which is the closest to 2\/7?  (a) i  (b) -5  (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3*r + 8*r + 24*r + 7*r.\nAnswer: 36*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 1544, 3344, 6328, 10484, 15800?\nAnswer: 22264","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Factor 705*l**2\/4 - 13397*l\/4 + 19\/2.\nAnswer: (l - 19)*(705*l - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ofo when three letters picked without replacement from {o: 2, f: 6}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 134 + -26. Is s a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -9 divided by 442.\nAnswer: -9\/442","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Express (0 - 4 + 2)*(-n - 3*n + 5*n + (n + 4*n + 0*n)*(-9 - 3 - 1)) in the form s + v*n and give v.\nAnswer: 128","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-25 - (-30 - -11)) + (13 - 1) - 16?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 2817, 11060, 24731, 43830?\nAnswer: 68357","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l(g) = -31*g - 2. What are the prime factors of l(-1)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*v = a + 2 - 1, -a = -3*v - 23. What is the units digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -27*w**5\/8 - 225*w**4\/4 - 753*w**3\/4 + 879*w**2\/2 + 2781*w\/8 + 243\/4 = 0. Calculate w.\nAnswer: -9, -1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 6*(7\/2 - 3). Let a be -1 + n\/(3\/5). Suppose -2*f + 6 = a, -4*t + 55 = -5*f. Is t a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 6825 and 189?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 5802 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 57732238 to the power of 1\/7, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Divide 31004 by 305.\nAnswer: 31004\/305","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Convert -2b59 (base 16) to base 13.\nAnswer: -5088","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find w, given that -45*w**2 + 79570*w - 17680 = 0.\nAnswer: 2\/9, 1768","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 124487 is divided by 171?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Does 38 divide 200066390?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, -23417, -2, -5 in ascending order.\nAnswer: -23417, -5, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1778017?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (1 + 4 - 4) + 4. Suppose -6*l = x*l - 2937. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -82 - -617. Let s = -133 + m. Does 14 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*r + r = 0. Suppose 2*i = -5*l + 30, 2*l + i + 4*i - 12 = r. Calculate the highest common factor of 3 and l.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -137\/3, 1\/10, -4, -0.02 in ascending order.\nAnswer: -137\/3, -4, -0.02, 1\/10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2 + 5 + 4 + 2 + 4*sqrt(2)*1*3.\nAnswer: 13 + 12*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 326760 and 12768?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 70.731 times -0.0615?\nAnswer: -4.3499565","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence xdb when three letters picked without replacement from bxdb?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 35*p**4*s**3 + 1417983*p**3*s**3 - 3*p**2*s**3 + 205934*p**2*s + 47*p*s**3 wrt p?\nAnswer: 840*p*s**3 + 8507898*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*f = -4*f - 5*s + 299, -3*f + 3*s = -204. Suppose -5*t = -3*y + f, 0 = -2*y - 2*t - 3 + 45. What is the remainder when y is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 197191, 197153, 197089, 196999, 196883, 196741?\n\"Answer: -13*i**2 + i + 197203","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many kilograms are there in 9\/10 of a tonne?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -86 + 86. Suppose h = -11*t + t + 20. Let u(k) = -10 + 14 - k + 4*k**t - 6 - 3*k**3. Give u(2).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 154 - 152. Find the second derivative of 191*u**j - 97*u**2 - 94*u**2 - 87*u**3 - 115*u wrt u.\nAnswer: -522*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -18516*h**2*x**3 + 11*h**2*x + 6605*h**2 - 525*h*x**3 + 53*h*x**2 wrt x.\nAnswer: -111096*h**2 - 3150*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 1512 - 1502. Let v(p) = -62*p - 5. Let y be v(-4). Calculate the common denominator of (4\/(-24) + 0)\/(a\/y) and 137\/6.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -50 - -527261?\nAnswer: 527211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 227417.\nAnswer: 277, 821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(275)*-6 + sqrt(176) + -5.\nAnswer: -26*sqrt(11) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let q(a) = -8*a + 114. Let l be q(6). Suppose 0 = -23*m + 34*m - l. Suppose -4*k + 24 = -0*k. Is k smaller than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 2 + -4*(-4)\/8. Let w(l) = -l**3 + 6*l**2 - 2*l - 4. What are the prime factors of w(p)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*m - 12, o - 4*m - 723 = -187. List the prime factors of o.\nAnswer: 2, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 357711?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 72122869033 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let r(j) = 16*j - 524. Let q be r(33). Solve 5*a + q*o = 33, -5*a - 21 = -8*a - 3*o for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 40*s - 95 = 21*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let q(k) = -452*k - 2151. What is q(-5)?\nAnswer: 109","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (2*n**3 + 2*n - 2*n)*(-3*n + 2*n + 4*n)*(6 - 3 - 2) to a*n**4 + m*n**3 + q + l*n + k*n**2 and give a.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 y and 1 u when three letters picked without replacement from yctufky.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 16023772 is divided by 46?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*z - 2 = 4. Suppose 4*r = 3*f + 46, 2*r = 3*r + z. Which is the nearest to f?  (a) 0.1  (b) -5  (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.1 in 6, -124\/13, 0.3, -42, -5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4*i - 4*i + 3*i**2 - 20*i.\nAnswer: 3*i**2 - 20*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*c = 5 - 40. Which is bigger: c or 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -4 - -8. Suppose w*c + 8 = 0, 382 = 5*t - c - 795. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 4338 + -4338.8905. Let d = q - -0.9. What is d rounded to three decimal places?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -44357 and 2.94914682?\nAnswer: 44359.94914682","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 282, 297, 312?\nAnswer: 327","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -2969, -22407, -75111, -177713, -346845, -599139, -951227, -1419741?\n\"Answer: -2772*b**3 - b**2 - 31*b - 165","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -317*s - 219*s = -162*s + 4488 for s.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 7138 + -7109. Calculate the highest common divisor of 5191 and c.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of (632\/(-200))\/(112\/(-40)) and -3\/98.\nAnswer: 490","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9 = -3*d - 3*m - 0, 0 = -d - 3*m - 11. Suppose q = v + d + 3, 3*q - 5*v - 14 = 0. Let o(k) = 66 - 22 - 8*k**2 - 24 + k**q - 28 + 8*k. Determine o(7).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {k: 8, u: 8, f: 1}. Give prob of picking 2 k and 2 u.\nAnswer: 28\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence vm when two letters picked without replacement from {v: 3, m: 1}.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*g = 10, -3*u + 7*u - 208 = -2*g. Let h = -48 + u. Solve h*o = -0*o - 6 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (2 - 2*b**3 - 2)*((-3*b + 10 - 10)*(59 - 129 - 213) + b - 3*b + 4*b + (2*b - 2 + 2)*(-3 - 1 + 2)) to j + g*b**3 + l*b**2 + r*b + p*b**4 and give p.\nAnswer: -1694","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 534765702 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -63 or 3?\nAnswer: -63","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let x(p) = 5*p**3 + 23*p**2 - 2*p - 2. Let n(b) = 11*b**3 + 44*b**2 - 4*b - 4. Calculate 12*n(h) - 23*x(h).\nAnswer: 17*h**3 - h**2 - 2*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from svssssssvv. What is prob of sequence sv?\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: ((80\/32)\/((-45)\/(-36)) + (-136)\/10)*-5\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r*r**(2\/3)*r*r\/(r*r**(-1\/8)))**13 assuming r is positive.\nAnswer: r**(871\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 78990.48 millilitres?\nAnswer: 78.99048","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many hours are there in seven eighths of a week?\nAnswer: 147","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -200, -6055, -21860, -52589, -103216, -178715, -284060, -424225?\n\"Answer: -829*j**3 - j**2 - 49*j + 679","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence gt when two letters picked without replacement from ntggtc?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.8?  (a) 0  (b) -14.1  (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-53 + 3 - 65)*(-14*u**4 - 10*u**4 - 8*u**4).\nAnswer: 3680*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Sort 111, -1, 3, 4 in decreasing order.\nAnswer: 111, 4, 3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-24)\/(-32) + 30\/(-8). Let a be (-1)\/y*(-4 - -10). Solve 4\/3 - j**3 - 4*j + 11\/3*j**a = 0 for j.\nAnswer: 2\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*s + 11*x - 3 = 10*x, 2*s = 2*x - 6 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let o(t) be the second derivative of -t**3\/6 + 2*t**2 + 2*t. Let h(l) = l - 3. Let b(s) = 3*h(s) + 2*o(s). Suppose -2*a = 6 - 0. What is b(a)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, -3\/5, 4, -4, 723 in decreasing order.\nAnswer: 723, 4, 2, -3\/5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -14, -16, -18, -20, -22?\n\"Answer: -2*n - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 339214?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: -2854436 divided by -2854436\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 3 - 8. Let k = 37 - 22. Let p be 13\/(-15) + 3\/k. Sort p, l, 3.\nAnswer: l, p, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the seventh smallest value?  (a) -2\/9  (b) -5  (c) -7.97  (d) 0.5  (e) -0.3  (f) 5\/21  (g) -2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 20 - 5. Is t even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(w) = w - 3. Let j be u(12). Solve 14*a + 5 = j*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1912362 to the power of 1\/5, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is eight fifteenths of a minute in seconds?\nAnswer: 32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -18276593, -18276585, -18276571, -18276551, -18276525?\nAnswer: -18276493","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.3, -0.1, -5, -0.18, 0, 348 in descending order.\nAnswer: 348, 0.3, 0, -0.1, -0.18, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -50*k - 1 = -49*k - 3. Suppose 0 = 4*a - 3*p + 20, 6*a + 2*p = a - 25. Suppose 5*x + 5*q = 0, q = 3*x - 3*q - 21. Put a, x, k in ascending order.\nAnswer: a, k, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify r**(2\/7)*(r**(-32)*r)\/r*(r\/(r*r**(-11)*r))**(1\/5) assuming r is positive.\nAnswer: r**(-208\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) -0.4  (b) 0.7  (c) -0.025  (d) -22  (e) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -2*m**4 + 9*m**3 + 25*m**2 + 2*m - 4523763 wrt m.\nAnswer: -8*m**3 + 27*m**2 + 50*m + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 2 + -1 + -5 - -387. Suppose 0 = 5*r + c - 133. List the prime factors of (-10 - r)*(-2)\/(-4).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 + 7 - 3)*(-6 + 2 + 2)*(6*s - 3*s + 4*s).\nAnswer: -28*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 19\/2 + (-5)\/(-10). Let j(o) = 19*o + 14*o + 3*o**2 - 42*o + 10*o - 48. List the prime factors of j(d).\nAnswer: 2, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0 in 1.212, 11\/3, -0.5, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 18132?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 12\/16*(-32)\/18. Let d = -818.3 + 854. Let k = -33.7 + d. Which is greater: k or b?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*p - 5 = -4*r, 31114*r - 2*p + 12 = 31119*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {p: 2, b: 2, v: 1, n: 8, x: 4, i: 2}. Give prob of picking 1 i, 1 n, and 2 p.\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*v + 6 = 317*o - 315*o, 4*o - 12 = v for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 6, -0.47, -12\/11?\nAnswer: -0.47","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 49720 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when ((-276)\/10)\/(6\/(-15)) is divided by 18.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2811967 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is -523\/450 < -2\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1841043?\nAnswer: 3, 19, 32299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let m(c) be the third derivative of 0*c**3 + 0 - 2\/75*c**5 - 1\/840*c**8 + 1\/100*c**6 + 3*c**2 - 1\/15*c**4 + 0*c + 2\/525*c**7. Factor m(b).\nAnswer: -2*b*(b - 2)**2*(b + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 84 + -48. Suppose -k - 3*k = l. Let x(o) = o**2 + 7*o + 7. What is the units digit of x(k)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 7363 is divided by 165.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 144 (base 15) in base 8?\nAnswer: 441","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14*g - 9336 = 2*g. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -127*m**2*r*z + 12*m**2*z - m**2 - 5*m*z + 6*r**3 wrt r?\nAnswer: -127*m**2*z + 18*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 134*x - 4*i = 136*x - 32, -i = -9 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*h + 3*a - 105 = 0, 0*a + 4*a = -12. Let l(f) = 22*f - 4. Let n be l(4). Let t = n - h. What is the greatest common divisor of 3 and t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10*l = -580 + 570. Let w(x) = x**2 - 7*x. Let c be w(7). Suppose -o + 13 = -5*a, 0 = -a - 3*a - o - 14. Put c, a, l in increasing order.\nAnswer: a, c, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (2 - 1\/(-1)) + 63\/(-9).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 18587 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -244, -475, -704, -931, -1156, -1379?\n\"Answer: f**2 - 234*f - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 28 and 154?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 128 - (-89 - 50 - -190)?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 t and 2 f when four letters picked without replacement from ppftftppfpfp?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {w: 2, b: 4, n: 2}. What is prob of sequence bn?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let f(i) = i**2 + i + 12. Let g be f(0). Let b be ((-5)\/195)\/(2\/g). Sort -0.6, -0.05, 3, b in decreasing order.\nAnswer: 3, -0.05, b, -0.6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(o) = o**3 + 4*o**2 - 5*o. Let v be c(-5). Suppose v = 3*h - 2*m - 16, -20 = -6*h + 3*h + m. What is the units digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 73944872*m**5 + 125076*m**2 + 225*m wrt m?\nAnswer: 4436692320*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*n - 10 = 0, -2*a + 18 = -6*a + 3*n. Let c = 0.07 + -0.1. Let j = c - 0.47. What is the closest to 1 in a, j, -2?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(o) = -18*o**2 - 1. Let y(l) be the first derivative of 2*l**3\/3 + 37. Calculate q(y(j)).\nAnswer: -72*j**4 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 4, -4, 181\/31?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -4 - 57c18a?\nAnswer: -57c18e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 482 minutes before 1:42 PM?\nAnswer: 5:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -187, -180, -173, -166?\nAnswer: -159","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*z + 22 = f, z + 0*z + 2 = -f. Let t(i) = i + 7. Let o be t(z). Let d be 2 + (0 - o) - -2. Solve 0 = -3*h + 2*h - d for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 10*t + 2*t - 8025 - 6*t - 2*t + 8025.\nAnswer: 4*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*s - s + 810 = 0. Suppose f - 2*f + 3*h + 11 = 0, 0 = -5*f - 5*h + s. Suppose 3*q - 4*q = -45. Calculate the remainder when q is divided by f.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify b**24\/b*b**(4\/15)*b assuming b is positive.\nAnswer: b**(364\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 214897647?\nAnswer: 3, 59, 197, 6163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 + 7 - 1)*(-2*m**4 - 2*m**2 + 2*m**2 - m**4 + 0*m**4 + 3*m**4 + (m**2 - 2*m + 2*m)*(3*m**2 + 3*m**2 - 5*m**2)).\nAnswer: 4*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 7330 and 22.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from mbmbiiciiimiicci. What is prob of sequence cc?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((y*y*(y**(-1\/13)\/y)\/y*y)\/y)\/y*y)\/(y\/(y**(-2)*y))*(y**(-2\/9)\/y)\/y*y**(-4) assuming y is positive.\nAnswer: y**(-971\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 19801, 18990, 16787, 12496, 5421, -5134?\nAnswer: -19865","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k be ((5\/(-5))\/1)\/(-6 - -7). Suppose g + 416 = -464. Let l be 5 + k - g\/10. Calculate the greatest common divisor of 23 and l.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -27.4 + 24.4. Let l = -11 - -16. Which is the third biggest value?  (a) l  (b) z  (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 107 is divided by 22?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 25990 a multiple of 113?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-1 - -6)\/((12\/(-140))\/(-3)). Let p = -172 + d. Solve 0*w + 6 = p*w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be -4*((-15)\/(-4))\/(-5). What is the smallest common multiple of 1*-4*r\/(-6) and (-6 + 1)*(-3)\/5?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(w) = 4*w**2 - 25*w + 3. Let m be b(5). Let x be (m\/66)\/(2\/(-36)). Let u(o) = 194*o + x - 3 - 193*o. What is u(-4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 0.8 - -0.4. Let h = -0.04 - -1.04. Let k = o - h. Which is the nearest to -1?  (a) -0.3  (b) 0.5  (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 370\/17 + -1382\/51. What is the common denominator of r and (-5)\/5 + 166\/20?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from dddnspdffnndsdsnpd. Give prob of sequence dsfd.\nAnswer: 7\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (1 - 9\/6)*25\/(20 - -5)*-64.\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"}
{"text":"Question: Let s(d) = -d + 8. Let f(j) = j**2 + 7*j + 6. Let c be f(-4). Let y be s(c). Let v = y + -9. Solve -2*o - 8 = -v*a, 0 = -3*a + 5*o - 13 + 33 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 p and 1 c when two letters picked without replacement from npcbnim.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:57 PM and 5:33 PM?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let s(q) = -2*q. Let f(j) = -4*j. Let w(o) be the second derivative of -3*o**3\/2 - 17*o. Let z(d) = 5*f(d) - 2*w(d). What is 2*s(i) - 3*z(i)?\nAnswer: 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -2*q**3 - 54*q + 956.\nAnswer: -6*q**2 - 54","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -185*t - 17017 + 185*t + 24*t**3 + 17018.\nAnswer: 24*t**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let t(i) = -i**2 - 4*i. Let g be t(-4). Suppose 0 = -g*z - 4*z + 312. Let f be 15*1*z\/10. Calculate the greatest common divisor of 13 and f.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(l) = 2*l**3 - 21*l**2 - 35*l + 278. Calculate s(11).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let i be -3*(1 - (-5)\/(-3)). Suppose 3*d - 7 = i. Let u be (d\/(-2))\/((-21)\/154). Solve 0 = -2*l + w - 0 + 1, -w + u = 4*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(z) = z - 18. Let a be b(21). Suppose 5*i + 4*f = 108, 4 = -f + a*f. Solve i = -c + 5*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(o) = 2*o**3 - 4*o**2 + o - 1. Let d be h(3). Suppose -x + d = x. Suppose -x = -3*n + n. Solve -b = 4*b - n for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 35, 41, 51, 65, 83, 105, 131?\nAnswer: 161","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -55954 or -55550?\nAnswer: -55954","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 0\/(9\/(1 - 4))*-1. Suppose l = 23*n - 3*n - 1040. Let z be (-72)\/84*n\/6. Which is smaller: z or -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(z) = -z**3 - 5*z**2 + 7*z - 3. Calculate f(-6).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -5364523\/30 + 352979\/2. Let f = 2330 + k. Let o = -7\/5 + f. What is the closest to -2\/5 in o, -0.3, -0.1?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(i) = -i**2 - 2*i + 1. Let c(v) = 289*v**2 + 4*v - 2. What is -c(g) - 2*m(g)?\nAnswer: -287*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let r(n) = 12*n + 4. Calculate the remainder when r(4) is divided by (-66)\/(-8) - (-2)\/(-8).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: 4*447\nAnswer: 1788","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let o(b) = -3*b + 3. Let v(s) = s. Let m = 314 - 315. Give m*o(d) - v(d).\nAnswer: 2*d - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Convert 10 (base 2) to base 13.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-27999977)\/(-2) - (-4)\/(-8). Suppose 4*h = -4*b + c, -2*b - h + 5*h + 7000012 = 0. What is b rounded to the nearest 1000000?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -0.03 - 0.27. Let y = -46 + 51. What is the third smallest value in -3, o, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1538141 (base 9) to base 5.\nAnswer: -204233234","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x(v) be the second derivative of 307*v**3\/6 - 79*v**2\/2 - v - 9. Find the first derivative of x(b) wrt b.\nAnswer: 307","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.5 times 137166?\nAnswer: 68583","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Does 3.7 = -58662?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 845610.\nAnswer: 2, 3, 5, 71, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -2, -179, 0.06, -1?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1098 or -882?\nAnswer: -1098","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -4  (b) 0.1  (c) 0.5  (d) -2\/619  (e) -23  (f) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Determine z so that -3*z**4 - 288*z**3 - 282*z**2 + 288*z + 285 = 0.\nAnswer: -95, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -107 + 134. Calculate the remainder when 81 is divided by h.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-4 - (2 + -17)) + (0 - (-10)\/10).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -13*c = -8*c, 5*b - 605 = 2*c. What are the prime factors of b?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -188 - -16. Let c = k + 172.055. What is c rounded to 1 dp?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 17, -1, 7.29, 4\/3, -5\/16?\nAnswer: 7.29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let v(o) be the third derivative of o**7\/360 - o**4\/2 - 20*o**2. Let s(w) be the second derivative of v(w). Let u(i) = 2*i**2. Give u(s(z)).\nAnswer: 98*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -11516 - -11516. Solve -10*u + 8*u = 5*b + 14, z = -4*b - 5*u - 1 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(q) = q**2 - 3552*q + 578149. Give r(171).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from iiowdowwiizwiowiiwd. What is prob of picking 2 w and 1 i?\nAnswer: 35\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/20 of a gram in micrograms?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 3516?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 11722 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1 + -35 - (-16 - (-5 + (2 - (7 + 2)))).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u(f) = -f**2 - 18*f + 1. Let c be u(15). Let x = c - -1393. What is the units digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(l) = l**3 - 5*l**2 - l - 5. Let y(u) = 3*u**2 + 3. Let s(t) = 236*t + 5669. Let c be s(-24). Calculate c*y(f) + 3*b(f).\nAnswer: 3*f**3 - 3*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: (3 - 19) + -11 + -18 + 21\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when (36\/8)\/((-81)\/(-17658)) is divided by 19?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*d + d = 4*f + 402, 0 = -d - 5*f + 92. Suppose -m - 2*n = -85, m - 2*n - d = -7*n. What is the units digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*x**3 - 3*x**3 + 7*x**3)*(-3 + 3 + x) + (104*x**3 + 83*x**3 - 30*x**3)*(0*x + 1 + 0 - 2*x).\nAnswer: -312*x**4 + 157*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let q(b) = 264*b + 1093. Determine q(-4).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 5384 + -3827. Is 49 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(v) = 3*v - 268. Let d be f(-41). Let c = -388 - d. Solve h + h + 2*i = -4, -9 = 2*h + c*i for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 3589.22512741 + 2.48\nAnswer: 3591.70512741","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 36 divided by -9.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let c(b) = -b**3 - 31*b**2 - 2*b - 62. Let f be c(-31). Suppose f*d - 12 = -2*a - 2*d, 2*a - 3*d + 8 = 0. What is the greatest common factor of a and 9?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -10130130110 + -2?\nAnswer: -10130130112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 0.046 + -34.046. Let t = 38 + m. Which is the second biggest value?  (a) 14  (b) t  (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -7, 34, -24.\nAnswer: -24, -7, 34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*u - y = -10 - 2, -y = -5*u + 23. Let r = u - 4. Suppose l - 8 = -3*l. Calculate the greatest common divisor of l and r.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 6*n**5 - 11*n**4 - 20*n**3 - 3*n**2.\nAnswer: n**2*(n - 3)*(n + 1)*(6*n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let r(q) = 195265*q - 6053171. Determine r(31).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.3*-162.1273.\nAnswer: -48.63819","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-1)\/((-10)\/(-2)))\/(205\/(-410)).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -440\/761 + 1300134\/19025. Let d = r + -38543\/550. What is the common denominator of 7\/22 and d?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 20983*n**3*o**2 + n**3*o - 45*n**3 - 10*n**2*o**2 - 437*n**2*o - 3*n - 2*o**2 wrt n?\nAnswer: 125898*o**2 + 6*o - 270","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let u(l) = 11*l + 64. Determine u(-7).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 10489?\nAnswer: 17, 617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Product of -11371 and 220.\nAnswer: -2501620","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 607631, 1215251, 1822871, 2430491, 3038111, 3645731?\nAnswer: 4253351","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 164975143 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let a(t) = -t**3 - 17*t**2 - 18*t - 12. Let f be a(-16). Suppose -p + 5 - f = o, 3*p + 75 = -5*o. What is the tens digit of (-1011)\/o - 6\/15?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 144\/(-27) + (-1)\/(-3). Suppose 1 = 3*l + 13. Let i = l - -5. Sort o, 0, i.\nAnswer: o, 0, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-279)\/(-372) + (-86)\/8?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 23162052607 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve -791 + 819 = -4*w for w.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence if when two letters picked without replacement from {h: 2, f: 8, x: 2, i: 4}?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -100*g - 5*h + 20 = -101*g + 7, 5*h - 12 = -4*g - 14 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -14221*y = -4*c - 14223*y + 38, -14*c + 5*y = 47 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3 + 210\/(-77) + -14 + 202251\/14784.\nAnswer: -3\/64","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 88\/15 and -119\/21528?\nAnswer: 107640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 2 + 1*2\/(-2). Let l(g) = 1 - k - g. Let w(n) = -3*n + 4. Let r(u) = u - 1. Let j(p) = -7*r(p) - 2*w(p). Determine 2*j(d) - 3*l(d).\nAnswer: d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -22 divided by -1814368.\nAnswer: 11\/907184","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 41353*a**5 + 394*a**4*t**3 + a*t**3 + 4*a*t**2 - a + 78417*t**3 + t + 1 wrt a?\nAnswer: 827060*a**3 + 4728*a**2*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 35 + -35. Suppose c = 5*p + n - 2*n - 3, -3*p + 12 = -4*n. Suppose 6*t - 3*t - 279 = p. Is t a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.1?  (a) 1  (b) -2  (c) 2  (d) -173  (e) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-175)\/11 + (-9)\/99. Let k be (4 - 4 - i\/2) + -5. Solve -3 = -k*t + 6*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -8.1125 rounded to one dp?\nAnswer: -8.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose g = 3 - 9. Let p = g + 14. Let s(q) = q - 4. Let h be s(p). Solve 3*v + v + h*w - 36 = 0, -5*v + 2*w = -17 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 46b81 - -1?\nAnswer: 46b82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -16*j + 216 - 120 = 0 for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 46\/(-299) - (-8119377)\/39 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(w) = w**2 + 9*w + 14. Calculate the least common multiple of 30 and k(-10).\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a**8\/a*a**(-4\/7))**(-1\/55)*(a\/(a*a**(-3\/7)\/a*a)*a**(-2\/7)\/a)**(-20) assuming a is positive.\nAnswer: a**(1311\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let p(u) = 15*u + 4. Let m(t) = 16*t + 4. Let n(o) = -2*m(o) + 3*p(o). Let v be n(4). Suppose 2*w + 2*w = v. Does 7 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*u - w - 0*w - 1164, -5*u = -3*w - 1932. What is the remainder when 1591 is divided by u?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(y) = -y + 88. Give p(10).\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 147 a factor of 34376979?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-141)\/(-16) + 39\/208?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8 = -5*w + 4*f, -156 = -3*w - 3*f - 162. Solve -2*r - 3*k + 8*k = 24, 5*r - 5*k + 30 = w for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 q and 1 h when two letters picked without replacement from mhqlt?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: 7\/42 - 6028\/1320\nAnswer: -22\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -10000011101101000 - 10000?\nAnswer: -10000011101111000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-6)\/(-15)*(-5)\/(-19). Which is the third smallest value?  (a) 0.1  (b) -0.4  (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 10 + -7. Suppose v*i = -5*l + 135, 2*l - 34 = -4*i + 34. What is the units digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1004003240 (base 5) to base 15.\nAnswer: 29c54a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 5 - 13 - 145 - ((7 - (7 - 10)) + -17)?\nAnswer: -146","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 3392415 and 260.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let g(l) be the second derivative of l**6\/720 - l**5\/60 + l**4\/16 + 11*l**3\/6 + 38*l. Let h(p) be the second derivative of g(p). Factor h(r).\nAnswer: (r - 3)*(r - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*h - 6*t + 2*t + 8 = 0, 0 = -2*h - 2*t + 4. Solve -2*r + 0*r = h for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 8736*g - 94*g**2 + 558418 - 671314 - 75*g**2 = 0.\nAnswer: 336\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-122)\/183)\/(10\/(-3))*0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-5 + -26 - 40) + 14 + 6.\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 76*x + 86*x + 879 + 18 = -399 for x.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 4\/56*(6\/11)\/(-4*9\/(-88))?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 6956471320?\nAnswer: 2, 5, 10301, 16883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 17*c**2 - 49*c**2 + 34*c**2.\nAnswer: 2*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 1441 and -0.8.\nAnswer: -1152.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 4861 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 40661 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 85, 80, 75, 70, 65?\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.8, -13, -1.1, -1\/4, 129\/10 in increasing order.\nAnswer: -13, -1.1, -0.8, -1\/4, 129\/10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(5) - ((sqrt(50)*-3)\/sqrt(10) + sqrt(5) + sqrt(5))) + 3)**2.\nAnswer: 12*sqrt(5) + 29","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 1 + -1317b43?\nAnswer: -1317b42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -1898, -1971, -2042, -2111, -2178, -2243?\n\"Answer: l**2 - 76*l - 1823","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: 13*1.1757\nAnswer: 15.2841","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let h(f) = 3*f**3 + f**2 - 7*f + 6. Let s(n) = 3*n**3 - 5*n + 5. Determine -3*h(o) + 4*s(o).\nAnswer: 3*o**3 - 3*o**2 + o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14*q - 7342 = 1576. Does 13 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 114 is divided by 54?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (149 - (-38 - -94)) + -48?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 5545*s - 290615 - 152985 for s.\nAnswer: 80","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q**(-21\/4))**(-31) assuming q is positive.\nAnswer: q**(651\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Does 42 divide 547302167?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((m**(-1)\/m)\/m**(-2\/33))**(1\/46)\/(m**(3\/5)*m**(2\/5)*(m\/m**(-5)*m)\/(m**(-2)\/m)) assuming m is positive.\nAnswer: m**(-8381\/759)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 3, 0.2, -2\/51, -1\/18, -0.1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let b(z) = z**3 + 33*z**2 + z + 61. Give b(-33).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is -2491 - 0.10059?\nAnswer: -2491.10059","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 3472013, 6944042, 10416075, 13888112, 17360153, 20832198, 24304247?\n\"Answer: 2*a**2 + 3472023*a - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.06 and -14?\nAnswer: 0.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*w - h - 3*h + 26, h + 3 = 4*w. Suppose -w*r + 0 = -28. What is the remainder when (-374)\/(-14) + 20\/70 is divided by r?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is -47171433846 - 2?\nAnswer: -47171433848","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*y = 52 - 2. Suppose -39*v - n + 142 = -35*v, -3*n + 41 = v. What is the remainder when v is divided by y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -232322 - -101203321?\nAnswer: 100310333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/36 of a hour in milliseconds?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*l - 7 = 5. Suppose -c = 3*c - l. Which is smaller: c or 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -58 (base 13) in base 10?\nAnswer: -73","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 2\/29  (b) -4  (c) 0.2  (d) 1\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 1a0 - 1?\nAnswer: 19c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence kb when two letters picked without replacement from {b: 6, k: 6}.\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 713971 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let w(b) = b**3 + 3*b**2 - b - 2. Let x be w(-2). Suppose -10*j + x*j = -6. Let u(r) = 4*r**2 + 1. What is u(j)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*w**2\/3 - 149992*w + 8436600024.\nAnswer: 2*(w - 112494)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -370723 or -20?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 166063946.\nAnswer: 2, 53, 419, 3739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Put together -15345.494479 and -0.9.\nAnswer: -15346.394479","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 3779455951 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.01870747179 rounded to three decimal places?\nAnswer: -0.019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Convert -83 (base 15) to base 9.\nAnswer: -146","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -7330 - -15899. Let b = -334211\/39 + o. Is b bigger than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {v: 1, k: 1, w: 2}. Give prob of picking 1 v and 2 w.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2748106084159*j + 9*j**3 - 2748106084159*j.\nAnswer: 9*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let n(p) = 3*p**2 + 3 + 7*p - 2 - 2 - 8*p. Let c be n(1). What is the greatest common factor of c and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -1826146*m**2 + 669538*m - 2?\nAnswer: -3652292","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:06 PM and 7:54 PM?\nAnswer: 468","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -71\/4 and 77\/12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*t**2 + 39179288*t + 78358584 = 0.\nAnswer: -2, 19589646","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let q(v) = 342*v + 343. Let w be q(-1). Let f(p) = p**2 + 4*p - 6. Let o be f(-6). Suppose 0 = -o*g + 3*g - 9. What is the closest to w in g, -0.3, 4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 1484254 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((z\/z**(-8)*z*z\/(z\/(((z\/(z*z\/(z*((z\/(z**5*z))\/z)\/z*z)*z))\/z)\/z)))\/(z**(-4))**(18\/5))**(10\/9))**32 assuming z is positive.\nAnswer: z**(4928\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 61 + 24 = 5*d. Let c = d - 38. Let r = 40 + c. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 a and 2 h when three letters picked without replacement from ahhhhhhahhh.\nAnswer: 24\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 334 + -388. Is (-321304)\/6*x\/72 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(t) = t - 25. Let a be r(26). Put a, 0, 0.4, -1\/5 in decreasing order.\nAnswer: a, 0.4, 0, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: -3245 divided by -1\nAnswer: 3245","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*m + 3*q - 335 = 0, m - q = -1 + 68. Differentiate -10 - 83*c + m*c - 31*c with respect to c.\nAnswer: -47","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(c) be the third derivative of 4097*c**5\/15 - c**4\/6 + 4*c**3\/3 + c**2. Let m be b(-6). Round m to the nearest one hundred thousand.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 172\/3 + -58. Which is the closest to q?  (a) 2  (b) -5  (c) -1\/12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*a + 10 = -205. Suppose a = -5*x - n - 2, -45 = 5*x + 4*n. Let m(w) = -w**2 - 9*w + 4. Give m(x).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3 = -t - 3*o - 4, t + 4*o + 9 = 0 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let n(l) = -4*l**3 + 28*l - 12. Let q(u) = 3*u**3 - 27*u + 10. Calculate -5*n(k) - 6*q(k).\nAnswer: 2*k**3 + 22*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Round -30033633.74 to the nearest ten thousand.\nAnswer: -30030000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: -4913 (base 15) to base 14\nAnswer: -5943","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose q = -4*i + 192, -11*q + 6*q = -5*i + 240. Calculate the highest common factor of 6 and i.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 58050072 by -18118.\nAnswer: -3204","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is -4 times -64?\nAnswer: 256","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Sort 9, 5, 0, -3, -4.\nAnswer: -4, -3, 0, 5, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*w - 35 = -2*m - 9, m = 3*w - 7. Let 0*g**w - 2\/7*g**3 + 0*g**2 + 1\/7*g + 1\/7*g**5 + 0 = 0. Calculate g.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(s) = s**3 + s**2 + 1. Let h(r) be the third derivative of r**5\/20 + r**3\/2 - r**2 + 28. Determine h(q) - m(q).\nAnswer: -q**3 + 2*q**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let u(t) = -3*t**2 + 144*t + 3384. Determine u(62).\nAnswer: 780","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let k(c) = -1 - 373*c + 1100*c - 363*c + 1 - 361*c. Let u(s) be the second derivative of -91*s**4\/12 - 2*s. Determine u(k(d)).\nAnswer: -819*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let q(h) = h**3 - 5*h + 2. Suppose -162 = 116*k - 114*k. Let c = k + 77. Let x be (0 - c\/2)\/((-2)\/(-3)). Give q(x).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(k) = 5*k + 17. Let u be h(12). Let j = 59 - u. Is -4 - (1 - j)*-71 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*h**4 - 3*h**4 - 2*h**4)*(36 - 6 + 4)*(5 - 6 + 5).\nAnswer: -408*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 25255609 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 68747968 < 68747959?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 242084 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: In base 8, what is -1207356 + 4?\nAnswer: -1207352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let w(k) = -k**3 - 2*k**2 + 1. Let s be w(-2). Let f be 2 - (-2)\/(6\/(-15)). What is the closest to s in 2, -1\/2, f?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-52)\/208*(3 - 1 - 3). What is the biggest value in -22, 4, 0, v?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {p: 1, j: 2, z: 4}. What is prob of picking 2 z?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let u(k) = k**2 - 14*k - 95. Let x be u(19). Put 5, x, -13, 1 in ascending order.\nAnswer: -13, x, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, -4, -1, -17895 in increasing order.\nAnswer: -17895, -4, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Round -3876.694 to the nearest one thousand.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-4)\/3)\/(183\/(2501793\/372))?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 65\/18 and 46\/81?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 4.3 and -3.98312.\nAnswer: -17.127416","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {c: 4, l: 6, e: 3, m: 2}. Give prob of picking 2 c.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.021?  (a) -962  (b) 2  (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6*z + 21 = -3*j, -5*j + 106*z - 11 = 104*z for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:30 AM and 12:55 PM?\nAnswer: 505","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let q(p) = -p**3 + 6*p**2 + 8*p - 2. Let o be q(7). What are the prime factors of (-27)\/(-15) + 1\/o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is f in f**2\/7 + 561891*f\/7 - 561892\/7 = 0?\nAnswer: -561892, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let n(w) be the first derivative of w**2\/2 - 1735. Let d(c) = -102*c. Determine d(n(m)).\nAnswer: -102*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in eleven quarters of a litre?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*m + 20 = 4*d, 5*d - 10*d + m = 35 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -169418, -169420, -169432, -169460, -169510, -169588?\n\"Answer: -m**3 + m**2 + 2*m - 169420","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m*(m**(2\/7)\/m)\/m*m)**(-6)*((m\/(m**1*m))\/m)**1*((m**0\/m*m)**12)**(-3) assuming m is positive.\nAnswer: m**(-26\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -1.8 + -7.2. Let t = -4 - w. Let j be -3 - 0*(-2)\/4. Sort j, 0, t.\nAnswer: j, 0, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 45*g + 35*g + 62*g - 51300482. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*q - 2 = -3*s, -5*s - 2*q + 2 = -0 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*r = 5, 3*r + 2*r + 35 = 5*h. What is the first derivative of -4*n**3 + 6*n**3 - 3 + h wrt n?\nAnswer: 6*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 - 2 - 4)*(2*f + f - f + (0 - 1 + 3)*(f + 3*f - 2*f) - 1 + 1 - 2*f + 25*f - 252*f - 45*f - f - 5*f + 3*f).\nAnswer: 813*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 1  (b) 0.14  (c) -0.83\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1847.\nAnswer: 1847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 0*t**2 + 19*t**3 - 2*t**2 + 4*t**2 - 3*t + 3*t**4 - 18*t**3 to the form b*t**2 + c + f*t**4 + u*t**3 + o*t and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 24*i**3 + 4*i - i - 3*i.\nAnswer: 24*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2 = -w, -v - v = 3*w - 2992. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 196 is divided by (42\/(-35))\/((-3)\/100)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9 - 1 = u - 4*k, -2*k - 70 = 5*u. Let m = u + 8. Let s(b) = b**2 + 2*b - 1. Is s(m) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 2\/5 + 10\/(-25). What is the second derivative of 3*g**3 - 5*g + 0*g - g + j*g**3 wrt g?\nAnswer: 18*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -18*o = 84149 - 239003. List the prime factors of o.\nAnswer: 7, 1229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 59\/216 and -167\/336?\nAnswer: 3024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 896 and 66500.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -11 - -53569?\nAnswer: 53558","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -i + 5*k + 919 = 0, i - 923 = 27*k - 26*k. Calculate the greatest common divisor of 63 and i.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*n + 8 = -10*n. Calculate the smallest common multiple of n + 3 + -3 - -30 and (0 - 1) + (5 - -4).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 214*v**4 + 46*v + 204*v**4 - 2 - 422*v**4 as f*v**2 + s + n*v**4 + j*v + p*v**3 and give n.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 4386145 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -98.2 - -96.2. Which is the third biggest value?  (a) x  (b) -124  (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 121\/1349652 and 50\/1237181.\nAnswer: 14846172","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -202971*w**3 - 252305*w**2 wrt w.\nAnswer: -1217826","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 1112220 (base 5) in base 13?\nAnswer: 8c63","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: 17104201 (base 8) to base 14\nAnswer: 753a49","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 36, 2796, 10288, 24876, 48924, 84796, 134856, 201468?\n\"Answer: 394*a**3 + 2*a**2 - 4*a - 356","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 12 a factor of 80693952?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 122124?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 143601 is divided by 11034.\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let x(b) = -5*b. Let h(p) = 39*p**2 + 25. Let t(j) = 19*j**2 + 15. Suppose -5*z + 8 = -9*z, 5*d - 31 = 3*z. Let m(g) = d*t(g) - 3*h(g). Determine m(x(k)).\nAnswer: -550*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1235\/826 or 2?\nAnswer: 1235\/826","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: 0 * -1133\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1579048.\nAnswer: 2, 197381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 - 7 + 2)*(-8*x + 10*x - 4*x + 13)*(-x**3 - 1 + 1).\nAnswer: -6*x**4 + 39*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*h = 2*m - 5057 + 382, 3*m - 3*h - 7005 = 0. Suppose -230*o + m = -231*o. Round o to the nearest one thousand.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 124 is divided by 63?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Convert 645562 (base 7) to base 10.\nAnswer: 112450","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -3066613 (base 7) in base 15?\nAnswer: -7482a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: 8600 divided by 40\nAnswer: 215","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ttyt when four letters picked without replacement from {n: 1, t: 4, y: 1, r: 4, u: 9}.\nAnswer: 1\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: -2654350 (base 7) to base 6\nAnswer: -11254551","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x(w) = -4*w. Let r(v) be the third derivative of -v**5\/12 + 12*v**2. Give x(r(l)).\nAnswer: 20*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 3347\/788 - -1\/394. Calculate the common denominator of -5\/4 and s.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 5*b + 2*b + 3*b + (b - 4*b + b)*(3 + 0 - 1).\nAnswer: 6*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-7014)\/(-2672))\/(3\/(-8))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q(u) = 5*u - 14*u + 624 + 13*u**2 - 626. What is the tens digit of q(7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*i = -3*y + 352, 3*i = -5*y + 6*y - 259. Let u = 93 + i. What are the prime factors of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(r) = -8*r - 6. Let d(h) = -h - 1. Let n(w) = -c(w) + 6*d(w). Let a be n(2). Suppose -k + a*k - 6 = 0. Solve -k*b - j = -b + 2, 4*j = 2*b - 8 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence jd when two letters picked without replacement from {j: 1, d: 3}.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*b - 57 = -4*b. Let z be (-99)\/(-3)*(0 - -1). Let w = z + b. What is the highest common divisor of 35 and w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 383296411 to the nearest integer?\nAnswer: 19578","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*m + 69 = 6*m + 73. Let a be -3 + (3 - (-18)\/(-3)). Put m, a, 3 in ascending order.\nAnswer: a, m, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 146209646 a multiple of 1826?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 7380 and 160.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.1?  (a) -1.4  (b) -0.2  (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 1037763, 2076032, 3114301, 4152570, 5190839?\nAnswer: 6229108","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 5\/22*(96\/(-10))\/(-46 - -48).\nAnswer: -12\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.9834523 kilometers to meters.\nAnswer: 983.4523","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express 200*k - 200*k + 60*k**2 as a + y*k**2 + j*k and give y.\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Express -4 + 22*j**3 + 5 - 3 - 9*j**2 - 16*j**3 - 9*j**3 in the form c*j**2 + b + p*j + z*j**3 and give c.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 207639?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let z(m) = 29*m - 18*m - 8 + 13*m. Let s(t) = 16*t - 5. Let x(p) = -8*s(p) + 5*z(p). Let v(g) = g**2. Calculate v(x(c)).\nAnswer: 64*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 5 - -2050505?\nAnswer: 2050514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is -11 divided by -372?\nAnswer: 11\/372","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -4 + (3 + -4 - 1) + 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h(s) be the third derivative of -s**4\/12 - 20*s**2. Let j(i) = -5*i. What is j(h(d))?\nAnswer: 10*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:15 AM and 7:39 AM?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -3.429 + 3.029. Which is the nearest to 1\/2?  (a) -0.5  (b) 0  (c) h  (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 407235139 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 11\/4 of a centimeter in micrometers?\nAnswer: 27500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, 45, -3677 in decreasing order.\nAnswer: 45, 4, -3677","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let a(q) = 3*q**2 + 6*q + 12. What are the prime factors of a(6)?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -30.4, 2, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let q(j) = -395*j + 20905. Calculate q(49).\nAnswer: 1550","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -64.9 - -28.9. Let p = -39 - f. What is the nearest to 0.1 in -1\/26, p, -5\/2?\nAnswer: -1\/26","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(i) = 42*i**2 - 90*i + 44. Suppose -102*o + 99*o = -9. Let k(j) = -j**3 + 43*j**2 - 92*j + 44. Let s(f) = o*d(f) - 2*k(f). Factor s(u).\nAnswer: 2*(u - 1)**2*(u + 22)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 47\/4 of a meter in millimeters?\nAnswer: 11750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from wwww. What is prob of sequence ww?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 48 is divided by 18?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {m: 1, a: 1, b: 1}. What is prob of sequence ba?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Divide -123282 by -41094.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.7731837286394 - -0.6?\nAnswer: -0.1731837286394","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 7\/(672\/144*(-33)\/(-20)).\nAnswer: 10\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 63338\/7 + -9048. What is the nearest to 2\/23 in -2\/5, 2\/11, 9, h?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -0.78 and -311689183848?\nAnswer: 311689183847.22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*a - f + 8, 0*a - a = -4*f + 14. Suppose 2*l + 0 - a = 0, d = -2*l + 54. Suppose 14*k = k + d. Solve -2*r + c + 8 = 0, r + k*r - 31 = -3*c for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (4640\/(-192))\/(2\/(-12)). Calculate the highest common factor of g and 15.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(x) = -x - 4. Let h be g(-9). Let r(o) = o**2 - 4*o - 5. Let j be r(h). Differentiate -3 + j + 2*u**2 + 2*u**2 with respect to u.\nAnswer: 8*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 0.4  (b) -0.3  (c) -308\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 2038576 to the nearest integer?\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand -3*c**5 + 0*c**4 + 0*c**4 - 2*c**4 + 6*c**5 + 2*c**4 + (-3 + 1 + 0)*(-2*c**4 + 2*c**4 + c**5) - 15*c**5 + 13*c**5 - 16*c**5.\nAnswer: -17*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let u(x) = -x**2 - 8*x - 3. Let p be u(-7). Suppose 4*c - 92 = 2*c - p*i, 0 = -2*i - 6. Is 26 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (1\/9)\/(1\/(-2))?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1849, -88, -1, -2.\nAnswer: -1849, -88, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -68827178, -68827180, -68827182?\n\"Answer: -2*t - 68827176","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from lqqqlllqllllqllqllq. Give prob of picking 2 q and 2 l.\nAnswer: 231\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 1 - 1\/(3\/(-159)). Suppose 0 = 5*m - 3*s - o, 2*s - 41 + 1 = -3*m. Suppose 3*r - m = 30. List the prime factors of r.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1382 less than 695128\/503?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let d be -6*(2 + 14\/(-6)). Suppose d*k - 3*k + 5 = 0. Find the third derivative of -k*v**3 + v**2 - 2*v**2 + 4*v**3 wrt v.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(r) = 6*r**2 - 8*r + 8. Let k(j) = -2*j + 5 + 0*j**2 + 4*j**2 - 3*j. Suppose -d + 51 = 2*d. Let o = d - 9. Determine o*k(y) - 5*a(y).\nAnswer: 2*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 48\/(-15) + 4\/(-5). Let l be (-176)\/(-126) + s\/(-18). Let z = l - 4\/3. Which is smaller: z or 3\/5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*h - 3*w + 5 = w, 3*h - 5*w + 40 = 0 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 1.079293ml in litres?\nAnswer: 0.001079293","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from mamamamrmmmamammm. Give prob of picking 2 m.\nAnswer: 55\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0 in -2.7, 0.2, 3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Express 235*s**3 + 3*s**2 + 2 - 7*s - 238*s**3 + 2*s as y*s**3 + k*s + p*s**2 + z and give k.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let b(k) = -k - 20. Let d(l) = l + 10. Let g(c) = -2*b(c) - 5*d(c). Let r be g(-12). Let q = r + -26. Solve -2*w - 4 - 2 = q for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*w + 681 - 41 = 0. Let c be (w\/(-14))\/(2\/(-7)) - 2. Solve -2*v - c = -4*h, -3*v - 3*h - 2 = -11 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -q - 2*s = s - 26, -q - 2*s + 20 = 0. Solve 0 = 4*i - q, 5*i - 21 = 5*m + 2*i for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 3 and 6965.\nAnswer: 20895","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, 198, -10186, 3, 0 in ascending order.\nAnswer: -10186, -1, 0, 3, 198","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Sum -6.1753716 and -105.\nAnswer: -111.1753716","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let 14*l**2 + 22152*l - 1325120 = 0. Calculate l.\nAnswer: -1640, 404\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"}
{"text":"Question: Let r = -23.045 + 33.75. What is r rounded to 1 decimal place?\nAnswer: 10.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 1*-2*(44\/(-8) - -5). Let k be ((-21)\/6 + y)*28\/(-35). Solve -28*n + 4*n**5 + 24*n + 8*n**4 + n**k - 9*n**2 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(m) = -m. Let i(z) be the second derivative of 5*z**4\/12 - z**3\/3 - 2*z - 611. Determine i(q(b)).\nAnswer: 5*b**2 + 2*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let d(w) = 17*w - 1. Let v be (4 - 7)*(1 - 0). Let u be -3*(-1 + v\/(-9)). Suppose 9*l - u = 7*l. What is d(l)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 157 is divided by 81?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 77 and 345590.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 3724*r + 3632*r - 230147 - 49381 for r.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: 0.22 * 4.688782\nAnswer: 1.03153204","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let -2*a**2 - 446*a - 3024 = 0. What is a?\nAnswer: -216, -7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Divide -18 by 50951.\nAnswer: -18\/50951","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Express (0*x + x - 3*x)*(16 + 3 + 8)*(-2 + 3 + 0)*(1 + 1 - 1)*(10 - 11 + 4) as s*x + b and give s.\nAnswer: -162","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 67387 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 33 and 18.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let v(z) = 4*z**3 + z**2 + 6*z**3 - 2*z**2. Let k(j) = -j - 3. Let f be k(-4). Is v(f) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 102856\/171435 - -1\/34287. Which is the second smallest value?  (a) 7  (b) -0.3  (c) 18  (d) k\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 12cca089 - 4?\nAnswer: 12cca085","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 327 minutes before 3:22 PM?\nAnswer: 9:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -204 = i - 7*i. Let g be 3\/(60\/i) - (-6)\/(-12). Suppose -6\/5*v + g*v**2 - 2\/5*v**3 + 2\/5 = 0. What is v?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 4812 and 13233?\nAnswer: 52932","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let c(g) = g - 2. Let p be c(7). Let j = -28 - -31. What is the closest to 1 in p, j, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0 or 126\/511669?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -14416 or -14423?\nAnswer: -14416","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 19*38\/(-38)*(-3)\/(-1).\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {w: 1, k: 1, l: 2, c: 2, p: 1}. Give prob of sequence lw.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 1338285 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -10540012 + 2515?\nAnswer: -10533053","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 50560*w**4*x**2 - w**2*x**3 - 251019*x**3 wrt w.\nAnswer: 202240*w**3*x**2 - 2*w*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 0 or -1\/1382524?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 21\/(-9) - 7\/21?\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-r - r + 0*r)*(r - r - r) - 3116 - 90 + r**2 - 859 in the form i*r + n + b*r**2 and give n.\nAnswer: -4065","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k**(-4)*k*k)**(-9\/5)*(k**(-12)\/k*k)\/k**(2\/7) assuming k is positive.\nAnswer: k**(-304\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 24926077843 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 u and 1 q when three letters picked without replacement from quuqbqub?\nAnswer: 9\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -3 - (-10 - 0) - (26 - 38).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 107 + -53 + -9 - 18.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -16 + 13. Let u = -1 + 4. Suppose -u*t - 2 - 4 = 0. Which is smaller: t or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(f) be the second derivative of -f**6\/360 - f**5\/20 + f**4\/8 + 5*f**3\/3 + 9*f. Let v(s) be the second derivative of w(s). Determine v(-7).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 52*f = -24*f - 228 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 410*t**4 + 51*t**3 + 1431*t - 297662269 wrt t?\nAnswer: 1640*t**3 + 153*t**2 + 1431","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 60081 and 273?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is -76 not equal to -77?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 102122121 (base 5) in base 10?\nAnswer: 426536","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (3520\/132)\/(1\/6). What is the highest common divisor of 40 and w?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1910*v - 1742*v + 2719*v.\nAnswer: -933*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-84*r - 422 + 422)*(-13*r + 28*r**3 + 13*r).\nAnswer: -2352*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) -0.4  (b) 0.2  (c) 0.5  (d) -0.2  (e) 1099\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Determine d, given that -25*d**5\/3 - 26455*d**4\/3 - 2087273*d**3 + 130082109*d**2 - 1743139440*d - 1875300012 = 0.\nAnswer: -2778\/5, -1, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from vbvbxbvvebh. What is prob of sequence bhbv?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 6645 and 18302545?\nAnswer: 2215","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4*(4*(4 + (sqrt(242) - (2 + -1*sqrt(242)) - (sqrt(242) + 1*sqrt(242) + 3 - sqrt(242)))) + 5))**2.\nAnswer: 1408*sqrt(2) + 61968","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 139 + 120 = -28*s + 91 for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 u and 2 w when three letters picked without replacement from {e: 1, w: 18, u: 1}?\nAnswer: 51\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -494 or -496?\nAnswer: -496","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let l(w) = 3*w**2 - w + 1. Let i(g) be the second derivative of g**4\/6 + g**2\/2 + 3*g. Let f(a) = 4*i(a) - 3*l(a). Calculate f(4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.3, 728, 2263, -2\/3, -1.9 in descending order.\nAnswer: 2263, 728, -0.3, -2\/3, -1.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Put 6\/23, 524, 6 in increasing order.\nAnswer: 6\/23, 6, 524","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: ((-12)\/14)\/((-2)\/(-14)) + (61 - (-33276)\/(-611))\nAnswer: 7\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 302239 or 302244?\nAnswer: 302239","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from nnnkkknknnn. What is prob of sequence nkkk?\nAnswer: 7\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let g(f) = f**3 + 16*f**2 - 14*f + 51. Let n be g(-17). Solve n = 2*t - 3*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2404 = -11*i + 15*i. Let t = i + 7817\/13. Sort -2\/5, t, 0.2 in ascending order.\nAnswer: -2\/5, 0.2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 90\/(-40)*(20\/30)\/(2\/(-32)).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -58*c**3 + 212*c**2 + c + 2551 wrt c.\nAnswer: -348*c + 424","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*q = 5*u, 0 = -5*u + u - 2*q for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 2773, 5555, 8319, 11065?\nAnswer: 13793","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 56556.76 millilitres?\nAnswer: 56.55676","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -y = -2*c + y, y = 4*c - 6 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 7712269553 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 829 and 5.77?\nAnswer: 823.23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let t(j) be the second derivative of 7*j**5\/20 - j**4\/12 - j**3\/6 + j**2\/2 - 26*j. Let x be (-1)\/(1\/2) - -3. Calculate t(x).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 39 + -39. Suppose -3 = -3*p + 3. Let x be -2*p\/8*10. Put k, 4, x in descending order.\nAnswer: 4, k, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 29678?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -71\/540 and -131\/21030?\nAnswer: 378540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, -15364, -3, 0.5, -17 in decreasing order.\nAnswer: 4, 0.5, -3, -17, -15364","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 26181 and 477.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.38 in 0.3, -0.5, -1, -3, -2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ktikeyeekekmk. What is prob of picking 1 y and 1 t?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -6.4 + 9. Let r = 3 - o. Let k = -7 - -6. Which is the nearest to k?  (a) 2\/7  (b) -5  (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -208*d + 111499 + 171589. What is the thousands digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 808398 and 72459.\nAnswer: 873","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 20\/12*(-2)\/15?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(m) = 14*m + 6. Let y(z) = 3*z - 3 + 1 - 7*z - z. What is -4*f(i) - 11*y(i)?\nAnswer: -i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1?  (a) -5\/2  (b) 2\/13  (c) -595\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence qq when two letters picked without replacement from xxxqxqxxxxxxxxxq?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*sqrt(16)*-6)\/(sqrt(288) - -1*sqrt(288)).\nAnswer: -sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {f: 5, j: 2, o: 3, t: 1, d: 1}. What is prob of sequence jd?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 122 (base 3) in base 10?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*6*sqrt(56)\/(sqrt(8) + sqrt(88)\/(sqrt(33)\/sqrt(3))) + (2*(2*sqrt(448) - sqrt(448)) - (sqrt(189)\/sqrt(3))\/sqrt(9)*6))**2.\nAnswer: 1183","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from oyyonorotlly. Give prob of sequence yt.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 26763, 53547, 80331, 107115?\n\"Answer: 26784*q - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 20180420 to the nearest integer?\nAnswer: 4492","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Divide 271 by -37005.\nAnswer: -271\/37005","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-2)\/(7\/280*20).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -791 - -793. Let v(x) = -17*x**q + x**2 - 7*x**2 + 5*x**2 - 12*x**2. Let y(g) = 5*g**2. What is y(v(u))?\nAnswer: 4500*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 25 + -35?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*j + 8 - 6 - 2*j)*(2*j**2 + 3*j**2 + 0*j**2 + (-2 + 2 - 2*j)*(0 + 0 - j)).\nAnswer: 14*j**3 + 14*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Add together 0.15686 and 12740302.302.\nAnswer: 12740302.45886","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 456402 to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {l: 1, m: 2}. Give prob of picking 1 m and 1 l.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3*(2*sqrt(152)*2 + -1*sqrt(152)*-3)\/((-2*sqrt(800) - sqrt(800)) + sqrt(8) + sqrt(32)*1))**2.\nAnswer: 931\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*p - 2*p + 5*s + 286 = 0, 3*p - s = 442. Calculate the remainder when p is divided by 14.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3 = u - 4*g, -3*u - u + 26 = -2*g. Let b be 6\/21 + (-95900002)\/u. Let z be b - ((-1)\/4 - (-9)\/36). What is z rounded to the nearest one million?\nAnswer: -14000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 0 = -2220\/696169?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let w be ((-11)\/2)\/(8\/2). Let b = w - -41\/24. Which is greater: b or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) -31  (b) -1\/2  (c) 5\/2  (d) -2\/3  (e) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is -19950056 at most -19950056?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f*f\/(f\/f**(-1\/8)*f)*f\/(f**(-15)*f)*(f\/f**(-7))\/f*f*f*f**(3\/8))**(-30) assuming f is positive.\nAnswer: f**(-1455\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 7 + (7 - 6) + -3.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 55309240 a multiple of 196?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*f - 32 = -d, -2*d - f + 55 = -0*f. Suppose 3*q = 4*q + 15. Let o = q + d. Calculate the greatest common factor of o and 117.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify j**1\/(j**(-1\/13)*j*j) assuming j is positive.\nAnswer: j**(-12\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let c(y) = 2*y**3 - 11*y**2 + 30940*y - 500412. Give c(16).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -3 and -19.274?\nAnswer: 57.822","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-802*y - 55*y - 600*y - 322*y)*(1 - 2*y**2 - 1).\nAnswer: 3558*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -18 - -17.5. Which is the third biggest value?  (a) t  (b) 1\/10  (c) -4  (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0000306186 rounded to 5 decimal places?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 20673 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 22, 23, 1\/10, -2.45, -3, 2\/19?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence titi when four letters picked without replacement from ittiiiiittiiiiti?\nAnswer: 55\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 6221, 6255, 6305, 6371?\nAnswer: 6453","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 0.5915169 litres?\nAnswer: 591.5169","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (2\/(-10))\/(14\/(-245)*7).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 17\/2 and 125\/4554?\nAnswer: 4554","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 3062?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 164 - 107. Suppose 6*h = 3*h + z. Calculate the remainder when h is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(c) = -982*c + 3 + 29*c**3 - 5*c**2 + 28*c**3 + 976*c + 2*c**2 - 56*c**3. Suppose 2*b + 0*b - 8 = 0. Calculate q(b).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"}
{"text":"Question: -9.546 * 0.46\nAnswer: -4.39116","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 5027?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0 + 5 + (-9 - (-13 - -8)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2\/79?  (a) 9  (b) -1\/2  (c) 4\/7  (d) -1.28\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j**5\/j)**(-41) assuming j is positive.\nAnswer: j**(-164)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -623 = -298*m - 406 + 2167 for m.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let i(u) = -u**3 - 5*u**2 + 5*u - 2. Let v be i(-6). Suppose -5*o = -2*y + 33, v*y - o = -0*o + 57. Calculate the greatest common factor of y and 35.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -537 + 54 + 9*b - 531 + 157 - 1745*b with respect to b.\nAnswer: -1736","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5\/2*i**2 + 8405\/2 - 205*i.\nAnswer: 5*(i - 41)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from xxdxhxhxh. Give prob of picking 1 x and 1 d.\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Put -1529, -6, 1\/3, -2\/13 in increasing order.\nAnswer: -1529, -6, -2\/13, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let k(z) = 3*z**3 + 3*z**2 - 2*z + 2. Let n be (8\/14)\/((-14)\/(-49)). Is 17 a factor of k(n)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 5482?\nAnswer: 2, 2741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 37 - 155*k + 77*k - 37 + 105*k.\nAnswer: 27*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*o + 6*o - 6. Solve 3*c = o*f - c + 8, -c = f + 4 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1058421 is divided by 74?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -9 + 0 + -6 + (-50 + (-3 - 14) - -3)?\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 176\/465 + (-1858)\/(-86397).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-46 - 17*n + 46)*(-2 + 3 - 2)*(-4*n + 4*n - 2*n + n + 2*n - 4*n + (7 - 5 - 3)*(-6*n + 0*n + 2*n)) to a*n**2 + k + m*n and give a.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let o(f) = f**2 - 15*f + 15. What is o(14)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*h - n - 63 = 0, 4*h - n - 45 = -2*n. Suppose 4*t = 24 + h. Let x(q) = -q**3 + 9*q**2 + 6*q - 6. What are the prime factors of x(t)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 14*z**3 - 5620*z**2 - 3222*z + 2412 = 0 for z.\nAnswer: -1, 3\/7, 402","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -129 - -255. What is the hundreds digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*y = 7*y + 35. Let f(i) = -2*i - 13. Let n be f(y). Let o be (n - 48\/46)\/1. Is 0 at most o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 191 - 378 - 12*d**2 - 17*d**2 + 187.\nAnswer: -29*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3170*p + 1990*p + 1810*p.\nAnswer: 630*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -0.3, -2\/61, -3, -46, 8\/3?\nAnswer: -2\/61","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 9438 and 30613?\nAnswer: 2387814","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -9  (b) 0.2  (c) 0.0493\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 4*c**2*d**2*s - 2*c**2*d**2 + 2*c**2 - 19*c*d**3 - 2739*c*s + d**3*s - 2 wrt s?\nAnswer: 4*c**2*d**2 - 2739*c + d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let w(a) = 3*a**2 + 33*a + 17. Suppose -9 = -3*m + 3*p - 63, -5*p = -20. Let s be w(m). Calculate the greatest common divisor of 52 and s.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 317 minutes after 6:29 PM?\nAnswer: 11:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -149 - -397 - 191 - (0 + -1 + 0 + 6)?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 2*-554.03\nAnswer: -1108.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let s(m) = 30*m**2 + 11*m + 29. Let b = -83 - -74. Let u = b - -6. Let d be s(u). Calculate the highest common factor of 38 and d.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -73*x + 87*x - 56 = 0. Sort -2, -7, x in descending order.\nAnswer: x, -2, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -6, -0.2, -1, 3\/2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let b(o) = o**3 - 3*o**2 + o - 1. Let z(l) = 6*l + l**3 + 8 + 6*l**2 + 1 - 2*l**3. Let a be z(7). Let g be b(a). Is g less than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 32 - 22. Suppose 2*j = 3*f - l, j + 18 - 3 = 4*f. What is m in -10*m**3 + 4 + 33*m - 5*m**f + 1 - 23*m = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10 = -6*w + w. Let s(t) = -t**2 - t**w - t**2. Let h(i) = -17*i + 4. Let u(o) = -270*o + 66. Let r(x) = -33*h(x) + 2*u(x). Give s(r(z)).\nAnswer: -1323*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 16 and (-27)\/(-3)*8\/6.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 18 + (-22 - (10 + 3 - 15))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert 7de648 (base 16) to base 12.\nAnswer: 291aa34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*j - 2*j + 2*g + 4 = 0, -4*g = 3*j + 1. Let k(o) = -11*o + 8. Let d be k(-10). Let i be (d\/(-4))\/(j\/60). Round i to the nearest one hundred.\nAnswer: -1800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 15 = -4*p - 36 + 7 for p.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -1 + 0. Let o = -0.2744 + 0.4744. Which is the closest to x?  (a) o  (b) 4  (c) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(c) = c - 3. Let f(r) = -r + 4. Give -2*f(p) - 3*u(p).\nAnswer: -p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: 15b54 (base 12) to base 2\nAnswer: 111100100110000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -99\/130 and -131\/156?\nAnswer: 780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -5425, -5506, -5587, -5668?\n\"Answer: -81*j - 5344","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 14\/(-12)*10488\/32. Let x = j - -385. Calculate the common denominator of 35\/3 and x.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 1201021 + 1002221102?\nAnswer: 1011122200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 12\/2 - 4 - 9. Let v be ((-4)\/8)\/(1\/12). Which is smaller: x or v?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {w: 2, r: 1, i: 1}. Give prob of sequence iwwr.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -743 + 1059. Is c a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 626296201 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -919 + 925. Solve -k - 2 = -2*g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, 4, -4, -1, -77 in ascending order.\nAnswer: -77, -5, -4, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 8084742 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: Convert -3788481 (base 13) to base 7.\nAnswer: -300162030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l(m) = -6*m**2 - 87*m - 51. Calculate l(-14).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -73, -253, -565, -1009?\n\"Answer: -66*y**2 + 18*y - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m(l) = l - 1. Let i be m(3). Suppose 2*v - x = 3, -2 = 5*v - i*x - 8. Solve 2*f + 2 + 2 = v for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -552*v**3 - 2*v**4 - 3*v**5 + 555*v**3 + 14*v**4 - 12*v**2 = 0. Calculate v.\nAnswer: -1, 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 54000, 214276, 481400, 855372, 1336192?\nAnswer: 1923860","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i(t) be the second derivative of t**3\/3 - t**2 + 3*t. Let p be i(4). Suppose -3 = -l + p. What is the units digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(a) = -6*a**2 - 4 + 10*a**2 + 6*a - 5*a**2. Calculate r(7).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.2 - -23238372058?\nAnswer: 23238372057.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 145 and 11.\nAnswer: 1595","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 19 - 26. Let c(z) = -3*z - 11. What is the lowest common multiple of 1 and c(w)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 605, 2472, 5621, 10100, 15957, 23240?\nAnswer: 31997","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert 24ba (base 12) to base 4.\nAnswer: 1001032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 18362, 38091, 57820?\nAnswer: 77549","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Divide -68 by 1288298.\nAnswer: -34\/644149","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: (-3)\/24 - (858\/(-144))\/13\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 3420.8 in 0.6, 1\/6, 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -26464624*n*p**3 + 57*n*p**2 + 27*n + 2*p**2 + 3*p - 5 wrt p.\nAnswer: -158787744*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 5163 and 8?\nAnswer: 41304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is fourty-eight fifths of a millimeter in micrometers?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: 0.042+-0.0151\nAnswer: 0.0269","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 13243 is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -23*x + 25*x - 16. Let a(o) = 16 - 32988*o + x + 32990*o. What is a(-10)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 10 (base 3) in base 14?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of n**3*o**3 + 49*n**3*o**2 + 51*n*o**2 - 3760*o**5 wrt o?\nAnswer: 6*n**3 - 225600*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is -3 greater than -64?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {e: 10, k: 1, c: 8}. Give prob of sequence kcc.\nAnswer: 28\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 73\/5 + (-4)\/(-10). Suppose 2*k - v = 7. Let m = 18 - 12. Calculate the remainder when k is divided by m.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 53345624 + 3?\nAnswer: 53345630","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Factor -15*z**2\/7 - 69*z\/7 + 12.\nAnswer: -3*(z - 1)*(5*z + 28)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -23190 divided by 2319?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -u = -3*d - 14 - 15, 2*u - 53 = 5*d. What is the greatest common factor of 35 and u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.001181217 to 5 decimal places.\nAnswer: 0.00118","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1 + (1*sqrt(180) - sqrt(180)))*1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2 = -6*n + 4*n. Let a be (n - 0) + (-3 - -2). Let d be (-28)\/13 + (1 - -1). Which is smaller: d or a?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*v = 5*h - 348 + 1113, 5*v - 773 = h. Let l(a) = -41*a - 1. What is the remainder when v is divided by l(-1)?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 186780 and 3300.\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3 + (sqrt(55) + (sqrt(110)\/(sqrt(2) + sqrt(2) + sqrt(162) + sqrt(2)) - sqrt(55)))\/((sqrt(66)*1)\/sqrt(6)).\nAnswer: sqrt(5)\/12 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -15*(-133)\/(-38)*2\/(-12).\nAnswer: 35\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 2.266477254 take away -0.0812?\nAnswer: 2.347677254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 0 + (sqrt(13) + sqrt(13) + sqrt(832) + sqrt(13) + 5 + sqrt(624)\/sqrt(3))**2 + sqrt(26)\/(5*(sqrt(2) - sqrt(2)*-1))*-3 + -5.\nAnswer: 1497*sqrt(13)\/10 + 2945","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let i(f) = -f. Let q(t) = -839*t**2 - 119*t. Calculate q(i(u)).\nAnswer: -839*u**2 + 119*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 1\/4, -0.5, -2\/43?\nAnswer: -2\/43","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 33150 is divided by 152.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let f(p) = p**3 + 13*p**2 - 3*p - 31. Give f(-13).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of -2*((-600)\/(-45) + -14)\/((-12)\/(-358191))?\nAnswer: 39799","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 21\/4 of a microgram in nanograms?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z be -3*14\/4*-2. Let v = 29 - z. Let c(p) = -p**2 + 7*p. Give c(v).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*w + 2*t + 3 = 5, -3*w + 3*t - 18 = 0. Is -2\/3 > w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -181.285 + 181. Let b = c - -0.2848174. Round b to five decimal places.\nAnswer: -0.00018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(q) = 2*q**3 - 6*q**2 - 6*q + 1. Is n(5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r**(-5\/7))**(-12\/11)*(r\/r**(-2\/15)*r)**(-36) assuming r is positive.\nAnswer: r**(-29268\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 x when three letters picked without replacement from xxx.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let l(w) = 5*w**2 - 5*w**2 - w**2. Let i(z) = 66*z**2 + 27*z + 27. Let u(d) = -5*d**2 - 2*d - 2. Let q(t) = -2*i(t) - 27*u(t). Calculate q(l(f)).\nAnswer: 3*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 1419  (b) -4\/5  (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 70\/23493 and 11\/2214.\nAnswer: 422874","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-1 + 0 + 3)\/(-2). Let s(a) = -5*a + 1. Let g be s(f). Let v be g*-1 + (-18)\/(-6). Sort 1, 5, v.\nAnswer: v, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 21044 and 16?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 5\/2 + -2. Determine k so that -1\/2*k + 1\/2 - f*k**2 + 1\/2*k**3 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 146.4 - 22.4. Let r = 123.5 - a. What is the second biggest value in r, -2, 7, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -339478*c**2*p**3*x**2 + 2*c**2*p**2*x + 2*c**2*p**2 - c*p**3*x - c*p*x + 669*c*p - 2*p**3*x wrt x.\nAnswer: -678956*c**2*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 922277679.\nAnswer: 3, 79, 3891467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let k(m) = 15219*m + 1002. List the prime factors of k(3).\nAnswer: 3, 103, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 536*a - 545*a - 3006. Let v = a + 338. Calculate the remainder when v is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 12, 23, 48, 93, 164, 267, 408, 593?\nAnswer: 828","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-164)\/(-984) + (-7)\/6. Put y, 1, 1848 in increasing order.\nAnswer: y, 1, 1848","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (85*p - 4 + 484*p**2 - 487*p**2 + 3 - 73*p)*(-p - 2*p + 4*p).\nAnswer: -3*p**3 + 12*p**2 - p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -18 + 15 - 655*m + 378*m.\nAnswer: -277*m - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*q = -7*w + 10*w + 9, 2*w = q. List the prime factors of 109\/(-2*w\/2).\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from meezzzdzzzdzezzmzzd. Give prob of picking 1 z and 2 d.\nAnswer: 11\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let x(g) = -2*g**3 + 2*g**2 + 3. Let u be x(2). Let m be (-16)\/(-40) - 2\/u. Which is the third biggest value?  (a) m  (b) -1  (c) 1  (d) 1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 222*u - 648 = 483*u - 225*u for u.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 2*b**3*q*v**2 - 519*b**3*q*v - 2*b**3*v + 3*b**2*q*v**2 - b**2*v - 106*b*v**2 wrt v.\nAnswer: 4*b**3*q + 6*b**2*q - 212*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12 = -10*f + 14*f. Let x = 328\/1099 + -2\/157. What is the second smallest value in 5, f, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*u + 522 - 6 = 0. Let f = 728 - u. What is the units digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(l) = -3*l + 4. Let y be d(-3). Let q = y - 12. Let x(p) = p + 1. Let w(n) = 2*n**3 + n**2 - 6*n - 7. Determine q*w(g) + 6*x(g).\nAnswer: 2*g**3 + g**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let r(b) be the second derivative of b**3\/3 - b**2 + 202*b. Suppose -2*p - 4*h - 28 = 0, -5*h = 5*p - h + 46. Give r(p).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(o) = 20*o + 672. What is d(-34)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k**(-5\/7)*k*k**(-4\/5))\/(k\/(k*k**(6\/5))*k*k*k**(2\/11)*k) assuming k is positive.\nAnswer: k**(-961\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Total of 12 and 763765.\nAnswer: 763777","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -0*m - 3*m + 6. Let j(d) = 5*d**2 + 2*d - 3. Let x be j(1). Let l be m\/x + 210\/12. What is l rounded to the nearest 10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(p) be the second derivative of -p**6\/60 - p**5\/30 + p**4\/6 - p**2 + p. Let h(o) be the first derivative of a(o). Determine k, given that h(k) = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 885*v**3 - 463734*v**2 + 60746796*v + 411864 = 0 for v.\nAnswer: -2\/295, 262","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 167\/357 + -3\/7. Which is the biggest value?  (a) -2\/9  (b) 4  (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.02?  (a) 0  (b) 47  (c) 4  (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 3, -3.9652, -5\/1001?\nAnswer: -3.9652","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 2 or 115\/34?\nAnswer: 115\/34","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 2.92 + 0.08. Let m = z + -3.5. Let p(f) = f - 6. Let n be p(6). Which is the biggest value?  (a) 2\/3  (b) m  (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(a) be the first derivative of -2*a**5\/25 + a**4\/2 - 2*a**3\/5 - 9*a**2\/5 + 316. Suppose v(c) = 0. Calculate c.\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 38028 at most as big as 228161\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -12365033 - 568870?\nAnswer: -12933903","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {c: 4, k: 4, m: 5, i: 3}. What is prob of sequence mkcc?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 520 minutes after 12:59 AM?\nAnswer: 9:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (0 + sqrt(108) - sqrt(108)) + sqrt(108) + sqrt(3) + 4*sqrt(48).\nAnswer: 23*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -134157, -536625, -1207397, -2146467, -3353829, -4829477, -6573405, -8585607?\n\"Answer: f**3 - 134158*f**2 - f + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q(y) = -y**2 - 3*y + 10. Let i be q(-5). Suppose -3*x = -i*x - 228. Suppose 2*c = 3*k + 167, 0 = -c - k - 0*k + x. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 5303340?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let l(v) = 13*v + 1 + 2 + 0. Let z be l(-3). Let j be 0 + z\/(-21) + -2. Which is bigger: 1 or j?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 26553 (base 7) to base 4.\nAnswer: 1233213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -404, -839, -1308, -1811, -2348, -2919, -3524?\n\"Answer: -17*f**2 - 384*f - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 7651409 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 572023?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 115829, 115963, 116095, 116225, 116353, 116479, 116603?\nAnswer: 116725","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 5597719047 to the power of 1\/3, to the nearest integer?\nAnswer: 1776","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let y(m) = -m + 1. Let t(n) = -n**2 - 7*n + 0*n**2 + 3 - 4 - n**2. Let g(x) = 2*t(x) + 2*y(x). Find u such that g(u) = 0.\nAnswer: -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -2780132 and -2.\nAnswer: 5560264","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 107463, 107466, 107469, 107472?\n\"Answer: 3*c + 107460","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -d + 4*o = -19, d + 315 = -o + 309 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*k - 3 = 22, -2*x - k = -9. Let m = x + 2. Let q(t) = -t**3 + 6*t**2 - 4*t - 3. Calculate q(m).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 265, 330, 505, 844, 1401, 2230, 3385, 4920?\n\"Answer: 9*j**3 + j**2 - j + 256","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is (-6)\/((8 + -4)\/(-2)) + -10?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*h = -15, 0*r - h - 5007 = -4*r. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*y - 75 = -3*y. Let a(q) = q**3 - 2*q**2 + 24*q - 211. Let o be a(6). Let x = y + o. Solve 4*c - x*r + 1 = 3*r, 2*r = -3*c + 5 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -19.289 - 98675.638.\nAnswer: -98694.927","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -0.5 + 0.8. Let q be 2 + (-24)\/15 - 0. Which is the third biggest value?  (a) 0.1  (b) p  (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -65\/126108 and 37\/266228.\nAnswer: 2396052","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is -902.974196 rounded to the nearest 100?\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 103575337 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 96 + -91. Suppose -n*t = -3*z - 50, 3*z = -4*t + 40 - 0. Solve -5*i = -2*i + 4*a - 15, -t = -2*i + 2*a for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 7\/98*(-2 - 0)*-3.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 342 minutes after 4:40 PM?\nAnswer: 10:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Round -15667373.223 to the nearest one million.\nAnswer: -16000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 22100022000101 - 11?\nAnswer: 22100022000020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 6*n**3 - 107 + 61 + n**3 - 3*n**3.\nAnswer: 4*n**3 - 46","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of (-29496)\/10*(11 + -16) - (14 - 10)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((o**(-14)*o*o)\/o**(1\/3)*((o*(o*o**(-2))\/o)\/o)\/(o**(11\/4)\/o))**(21\/4))**(16\/9) assuming o is positive.\nAnswer: o**(-1351\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*z - z + 5*z)*(-5*z**3 + 5*z**3 + z**3) + 2*z**3 - 2*z**3 + 6*z**4.\nAnswer: 7*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Put 0, 49, -63, 2, 3, 30 in ascending order.\nAnswer: -63, 0, 2, 3, 30, 49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -59094, -118269, -177444?\nAnswer: -236619","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 15871 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 119\/3924 and -115\/2616?\nAnswer: 7848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is -165264 (base 7) in base 4?\nAnswer: -20010300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3 = -2*h - 28*z + 31*z, 8 = -5*z - 7 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h**(-4)*h**(-1\/11))\/(h**(3\/2)\/h*h*h\/((h*h**(2\/3)*h)\/h)*h) assuming h is positive.\nAnswer: h**(-391\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let k(l) = l**3 - 8*l**2 - 8*l - 7. Let h be k(9). Solve 5 = 5*a + 5*i, -3*a = -h*i - 4 + 16 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 142 minutes before 2:45 AM?\nAnswer: 12:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let p(k) be the first derivative of -k**2\/2 - 5*k - 2. Let y be p(-9). Put -1, 1, y in ascending order.\nAnswer: -1, 1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 547\/4 - ((-78)\/24 + 3). Suppose -6*s = -383 + g. What is the remainder when s is divided by (-11)\/3*(1 + -7)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: (14 - 3) + (0 - 23)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange ((-3 + 5 + 0)*(-d - 2*d + 4*d) + 2*d + d - d + 15 + 6*d - 15)*(462*d - 193*d - 146*d) + d**2 - 5*d + 5*d to the form g*d + q + s*d**2 and give s.\nAnswer: 1231","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 3113077243 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 124 and 465?\nAnswer: 1860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*j**4\/7 + 1370*j**3\/7 + 196*j**2.\nAnswer: -2*j**2*(j - 686)*(j + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let c(r) = r + 209. Calculate c(-9).\nAnswer: 200","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1565*x**2 + 20 - 20 + 634*x**2.\nAnswer: -931*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -91 - -136. Is z a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4*(3 + sqrt(171) + -5 + 2*sqrt(19)) + 2)**2.\nAnswer: -240*sqrt(19) + 7636","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 72\/(-42)*-1*14. Let d = 36 - u. Suppose -4*p = -4*z - 76, 3*p - 46 = -5*z + 19. What is the least common multiple of d and p?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2 = -3*j + 5*y + 82, -128 = -5*j + 3*y. Let t be (7\/21)\/(3\/18). Solve 3*w + t*w + j = 0 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(w) = -1. Let m(u) = 17*u - 68. Let v = -39 + -29. What is v*i(j) + m(j)?\nAnswer: 17*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) 137  (b) -14  (c) -2\/9  (d) 4  (e) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 2\/(-44)*4 + (-56)\/176. Let y(o) = -o**3 - 4*o**2 + 4*o. Let g be y(-5). What is the second biggest value in k, g, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 357.4 + 9.1. Let s = c - 257.4. Let i = s + -114. Round i to the nearest integer.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 9 + -13. Let a(v) be the third derivative of -v**5\/60 + v**4\/12 - v**3\/3 + 16295*v**2. What is a(s)?\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*n + 13 - 21 = 0 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let o(l) = -2*l**2 + 11*l + 86. What is o(-9)?\nAnswer: -175","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let r(z) be the second derivative of -z**3\/6 - 5*z**2\/2 - 9*z. Calculate r(5).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(x) = -x**3 + 12*x**2 + 2197*x - 42133. Determine c(21).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -1\/5, 2\/5, -0.5193, -4, 0.2?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*s = x - 28, 5*x - 49 - 15 = -s. Which is the biggest value?  (a) -2  (b) x  (c) 3  (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 885343?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -151816, -151814, -151810, -151804, -151796?\nAnswer: -151786","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 809002, 809007, 809014, 809023?\n\"Answer: i**2 + 2*i + 808999","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 2 + -3 - 3 - (-36 - (-14 + -16))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -44.6 - -0.6. Let k = -44.5 - v. What is the closest to 0.3 in 1, -2\/17, k?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 87236 or 87181?\nAnswer: 87181","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose q = -2*k, 6 = 2*q + 5*k + 7. Suppose -5*f - q + 7 = u, 115 = 4*u + f. Calculate the remainder when 419 is divided by u.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -p + 73 - 277 + 67 + 61 + 22*p**2 + 76.\nAnswer: 22*p**2 - p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((v\/v**5)\/(v*v**(6\/5)))\/(v**7*v\/v**0)*(v\/v**(1\/4)*v*v**0)\/(v**(5\/6)\/v*v**4*v) assuming v is positive.\nAnswer: v**(-1037\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*w**2\/3 - 1588*w\/3 + 1586\/3.\nAnswer: 2*(w - 793)*(w - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 319.25 smaller than -7.591?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 44 - (27 - (31 + -23))?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((d\/(d*d\/d**(-16))*d\/((d*d**(-2\/33))\/d))**(-20))**(2\/25) assuming d is positive.\nAnswer: d**(4208\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let p(j) = -j**2 + 8*j - 3. Let q(c) = 5*c. Let u be q(1). Let a be p(u). Let v = -8 + a. What is the units digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (1\/(-2))\/((6950\/(-3600))\/139)?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-1)\/(-3) + 33\/9. Suppose -255 = -12*v - 5*v. Suppose k - 3 - v = 4*c, -5*k + 56 = -3*c. Solve m*h + k = 6*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-18)\/64)\/(10\/(240\/18)).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.6431562mm in nanometers?\nAnswer: 643156.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 321 minutes before 11:00 AM?\nAnswer: 5:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let 3*f**5\/2 - 108*f**4 + 2133*f**3 - 2976*f**2 - 283437*f\/2 + 640332 = 0. What is f?\nAnswer: -8, 7, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 49176 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 989 is divided by 110?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -6212*i**2*k**3 + 52*i**2*k**2 - 5*i**2*k - 2*i*k**2 - i*k wrt k?\nAnswer: -37272*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 16761 + -10667. What is the units digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 1 + -24555?\nAnswer: -24554","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let t(z) = 15*z + 9. Let j be t(-4). Let u = j + 59. Solve 5*d - 4*d**2 - u*d**3 - 2 - 125*d**4 + 3*d + 131*d**4 = 0 for d.\nAnswer: -1, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 5.4 - 5. Suppose -96 = 2*u - 340. Let w = 491\/4 - u. What is the second smallest value in d, w, -1?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 6570 and 360?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 673 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -8904 + 26079. What is the remainder when l is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 483736?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is (1 - -5) + (-58 - (5 + (8 - 24) + 25))?\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-8)\/(-16) + 10\/4. Suppose 6*s + 2*y - 469 = 3*s, s - c*y - 138 = 0. Calculate the remainder when s is divided by 77.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:43 AM and 12:42 PM?\nAnswer: 599","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ap when two letters picked without replacement from paappappaapa.\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Find s such that -20*s**5 + 5388*s**4 - 33092*s**3 - 151404*s**2 + 254872*s - 75744 = 0.\nAnswer: -4, 2\/5, 1, 9, 263","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from yyyywyyywynyywe. What is prob of picking 1 w and 2 y?\nAnswer: 27\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -339459020*w - 535711900?\nAnswer: -339459020","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: 6 + 1 + 96\/(-15)\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: -342 divided by 2\nAnswer: -171","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let x(l) = 3*l - 18. Let o(z) = -7*z + 49. Let h(p) = -4*o(p) - 11*x(p). Give h(0).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 31444223 (base 5) to base 3\nAnswer: 111111021200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1 in -557, -2, -45?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -288*x - 6957 = -1061*x for x.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 338\/37 - 11588\/1147. Let u(a) = -8800*a + 61600. Let c be u(7). Is y greater than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (180\/50)\/(9\/30 - 0). Suppose r - 3*a = z + 3, -4*r - 3*a = -15. Suppose q - 4*v - 18 = 0, -12 = -5*q + 3*v + 27. Is q greater than or equal to r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -213248 divided by 56?\nAnswer: -3808","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -32918*q - 32908*q + 98722*q - 32912*q + 7.\nAnswer: -16*q + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let l(n) = 10*n - 19. Let v = -8735 - -8737. Let o(i) = -i + 1. Give v*l(q) + 18*o(q).\nAnswer: 2*q - 20","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 - 5 + 5)*(-2*f + f + 3*f) - 3*f - 5*f + 2*f + (-f + 0*f + 3*f)*(-5 + 1 + 2).\nAnswer: -12*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ee when two letters picked without replacement from {e: 3, w: 2}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let t(k) = 9*k**2 - 2. Suppose 5*i + 0 = -5. Let f(m) = -m**2. Let x(o) = 6*o**2 - 1. Let j(w) = i*x(w) - 2*f(w). Determine 7*j(g) + 3*t(g).\nAnswer: -g**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let f(k) = -2*k + 5. Suppose 2*t - 4 = t. Let z be f(t). Let o be (100\/36 + z)*3. Put 2, -1\/3, o in descending order.\nAnswer: 2, -1\/3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(m) = -m**3 - 7*m**2 - 6*m + 2. Let u be s(-6). Suppose -u*z + 9 = z. Let i = z - 0. Is i a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 18678?\nAnswer: 2, 3, 11, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -1004 + 230?\nAnswer: -444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 0 + 1 + 1 + -20. Is (-554)\/(-18) + (-4)\/g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: 15.8*-0.047424\nAnswer: -0.7492992","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*n = 0, -3*n + 8792 = 2*m + 19611 - 178253. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: (14\/3 - 4)*(-27)\/6\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is i in 2*i**3\/13 - 32*i**2\/13 - 1760*i\/13 - 6400\/13 = 0?\nAnswer: -20, -4, 40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: 2299 divided by 486\nAnswer: 2299\/486","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -2195332, -4390666, -6586000?\nAnswer: -8781334","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 3\/4198 at least 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 0.1192  (b) 1\/8  (c) 2\/11  (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let n(f) = -311*f**5 - 6*f**4 - 3238*f**2 + 8. Let v(x) = -x**4 - x**2 + 2. Let k(j) = n(j) - 4*v(j). Find the third derivative of k(z) wrt z.\nAnswer: -18660*z**2 - 48*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -23, 416, 1771, 4498, 9053, 15892, 25471?\nAnswer: 38246","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from jjsjddddsassd. Give prob of sequence jds.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange ((-28 + 28 + v)*(-1055 - 48*v + 1055) + (v - v - v)*(-2*v - 4 + 4))*(v - v + 2*v) to the form p*v**3 + f*v**2 + t*v + k and give p.\nAnswer: -92","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 37542069?\nAnswer: 3, 17, 89, 919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -8167 + 8322. Solve -17*o - t = -189 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -1, 66, 5 in decreasing order.\nAnswer: 66, 5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -382 + 164. Let m = t - -124. Let g = m - -93. What is the closest to g in -1\/4, -3\/16, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(o) = -o**3 - o**2 - o - 1. Let p(h) = h**3 + 2*h**2 + 5*h + 73. Let y(x) = -p(x) - 4*s(x). Find the second derivative of y(b) wrt b.\nAnswer: 18*b + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.1 in -1, -242, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let c(d) = 1 - 10*d + 7*d + 1 + d**2. Let n be c(3). Let r be (-16)\/(-3) + n\/(-6). Solve -m - 4*m + 11 = l, 3*l = r*m - 7 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -10 + 7 + -12 + 0 + 22 - 133 - 7.\nAnswer: -133","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in seven fifteenths of a hour?\nAnswer: 28","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -4\/671 or 1?\nAnswer: -4\/671","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h\/(h*h**(-1\/5)))**(7\/10)*(h\/(h\/(h\/(h**(-6\/7)*h))))\/h**(-6\/17) assuming h is positive.\nAnswer: h**(8033\/5950)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*c - 344 = 5*b, -c - b + 26 = -69. Let u(y) = c - 36 - 3*y + 17*y. Is u(8) a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 24164 and 166363099.\nAnswer: 6041","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: 141 - -145878921853\nAnswer: 145878921994","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.000408767678 to 5 decimal places.\nAnswer: -0.00041","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: -4830 times 1009\nAnswer: -4873470","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4 = o, -5*u + 8*u - 2*o = 19. Suppose 3600 = -u*y + 19*y. What are the prime factors of y?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -1107 + 505. Let p = -599.13 - t. Let q = 9.23 + p. What is q rounded to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 22.515402 months in millennia?\nAnswer: 0.0018762835","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 71966046 to the power of 1\/2, to the nearest integer?\nAnswer: 8483","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9 = 6*w - 3*w. What is the remainder when (1 - w)\/((-5)\/20) is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 13494 is divided by 309?\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from txmtmggtmmt. Give prob of picking 1 m and 1 t.\nAnswer: 16\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1\/160?  (a) -2\/23  (b) 6  (c) -2  (d) -2\/3  (e) 2\/23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6*w = 3*w, w + 8 = 4*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is -54586 divided by 511?\nAnswer: -7798\/73","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 918 is divided by 20.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 481 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o\/(o**(1\/10)\/o)*o*o*o**(-1\/7)*o)**(-5\/3) assuming o is positive.\nAnswer: o**(-111\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let w(a) = -314*a**2 + 10*a + 122*a**2 - 5 + 17. Let f be w(-1). Round f to the nearest one hundred.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(s) = -3*s - 12. Let h be v(-4). Let o(x) be the first derivative of x**3 + 183*x - 375*x + h*x**3 + 14 + 184*x. Find the first derivative of o(d) wrt d.\nAnswer: 6*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(h) = h**2 + 20*h + 54. Let z be l(-17). Solve 2*b - 7 = z for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(k) = k**3 + 61*k**2 + 590*k + 101. What is the smallest common multiple of 15 and l(-49)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -25 - 9*d + 25.\nAnswer: -9*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 0 or 3\/517?\nAnswer: 3\/517","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 8 and 20.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 121348 and 828?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 9\/604 and 99\/1208.\nAnswer: 1208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 122 (base 7) in base 4?\nAnswer: 1001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -3, 0, 325711?\nAnswer: 325711","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-70)\/2*(-3)\/(-21). Let z = -75 - -74.9. What is the closest to z in m, -9\/5, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ssi when three letters picked without replacement from {s: 4, i: 1, k: 8}.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let p(r) = 16*r**2 + 289*r + 2. Calculate p(-14).\nAnswer: -908","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 179394, 179390, 179384, 179376, 179366?\nAnswer: 179354","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 36031 and 3419?\nAnswer: 468403","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 542021.2t in kilograms?\nAnswer: 542021200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -1\/2, 15.855, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let p(u) = -3*u**2 - 4*u. Let i(x) = x**2. Let t(c) = 4*i(c) + p(c). Let v(g) = 2*g**2 - 5*g. Give 5*t(o) - 4*v(o).\nAnswer: -3*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: -2 (base 5) to base 11\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -379754*t**2 - 496845 wrt t.\nAnswer: -759508*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 422179 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let u(g) = 2*g**2 + 2*g + 7. Suppose 4*r + 5 = -31. Let x(i) = -i**3 - 9*i**2 - i + 1. What is the remainder when u(-5) is divided by x(r)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ww when two letters picked without replacement from {w: 4, o: 2, k: 3}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let c(u) = -2*u**2 + 33*u - 89. Determine c(14).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -11*w - 448 + 921. Solve 47*p = w*p + 4 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-104)\/215 + (-231)\/(-385). Let l = n + 41\/387. Factor -2\/9*g**4 - 8\/9*g**3 - 4\/3*g**2 - l - 8\/9*g.\nAnswer: -2*(g + 1)**4\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 28452.963 nanoseconds in minutes?\nAnswer: 0.00000047421605","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 23022 is divided by 164.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 2356 a multiple of 76?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 17 and 1853?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in 7.426561 days?\nAnswer: 641654.8704","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 822731*q**3 - 13946*q**2 - 88 wrt q.\nAnswer: 4936386","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 3\/4, 2\/89365, -61?\nAnswer: 2\/89365","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Does 15 divide 60?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let b(q) be the first derivative of 1379*q**5\/5 - q**4\/2 + 2*q**3\/3 + 9*q**2\/2 - 2967. Find the third derivative of b(r) wrt r.\nAnswer: 33096*r - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: (51\/(-17))\/(((-8)\/(-480))\/((-3)\/(-12)))\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -179.618 and 236?\nAnswer: -42389.848","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let o(f) = -f**2 + 11*f - 1. Let d be o(11). What is the common denominator of -10\/11 and (-234)\/102 + 3 + d?\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*d = -2*h - 4, 16*h - d + 2 = 14*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Round -3414400 to the nearest 1000000.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:38 AM and 6:06 PM?\nAnswer: 688","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 1251271 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Convert -111110 (base 2) to base 9.\nAnswer: -68","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -124 + 12 = -2*m. Let x be (8\/(-10))\/((-8)\/20). Suppose m = x*y - 74. Calculate the greatest common divisor of y and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 x and 1 s when four letters picked without replacement from aaxxxasxaxxsa.\nAnswer: 8\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 14113\/87 or 162?\nAnswer: 162","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -195\/14168 - -1\/1288. Let q be (-482)\/(-3080)*2 + 0. Let v = q + g. What is the smallest value in v, -2, -3\/4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = c - 43*x + 38*x - 576, -5*x = 2*c - 1242. Solve 0 = -6*f - 588 + c for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 213874103 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1103?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -854330 and 57.\nAnswer: -48696810","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3 - 7 = p. Let b(t) = t**3 + 9*t**2 - 12*t - 15. Is 5 a factor of b(p)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(o) = -38*o + 3. Let k(n) = -40*n + 1. What is p(k(l))?\nAnswer: 1520*l - 35","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 185, 135, 85, 35, -15?\n\"Answer: -50*u + 235","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 422945*s - 321389?\nAnswer: 422945","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*p = 5*n - 20, -3*n + p = -3*p + 9. Let i be (-5 - -3 - n) + 4. List the prime factors of 10931\/68 + 3*i\/(-4).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(g) = 2*g**3 + 30*g**2 - 135*g - 34. Give y(8).\nAnswer: 1830","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let c(j) = -13*j**2 - 11*j. Let z(u) = 12*u**2 + 10*u. Let v(y) = -5*c(y) - 6*z(y). What is the second derivative of v(r) wrt r?\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -1 - -4. Let d = -1.2 + 0.7. Let p = -3.053 - -3.153. Which is the closest to 0.1?  (a) f  (b) d  (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 2 - 0. Calculate the remainder when 25 is divided by (m\/4 - 1)*-26.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 18 - 12. Let g(f) = 2*f + 3. Determine g(z).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(143) + 3*sqrt(143)*1)\/(3*sqrt(1100)).\nAnswer: 2*sqrt(13)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -876?  (a) 9  (b) 8  (c) 0.4  (d) 21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify w*((w*(w**0*w)\/w*w)\/w*w)\/w*((w*w**6)\/w)\/w*(w**(1\/7)\/w)\/w**(-6) assuming w is positive.\nAnswer: w**(85\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -75*m**3 - 24*m**6 - 2*m**3 - 4958*m**2 + 4464*m**2 - 4*m**3 wrt m.\nAnswer: -2880*m**3 - 486","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:58 PM and 9:24 PM?\nAnswer: 386","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: 5*-72\nAnswer: -360","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let f(v) = -22*v**3 - 20*v**2 - 30*v + 6. Let j(p) = -21*p**3 - 14*p**2 - 30*p + 4. What is -2*f(m) + 3*j(m)?\nAnswer: -19*m**3 - 2*m**2 - 30*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand (50 + 31 + 1)*(2 - 2 + 4)*(-u**3 + u**3 + 4*u**4).\nAnswer: 1312*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let n(u) = u**2 + 5*u - 12. Let r be n(7). Suppose 4*z = -0*z + r. Is z a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {p: 1, l: 1, h: 4, n: 2}. What is prob of picking 1 l and 1 n?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, 83, 67, -72, 2 in increasing order.\nAnswer: -72, 1, 2, 67, 83","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: 4 - ((2 - 13) + (11 - 4)) - -2 - -65\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is (-5)\/(5\/(-3)*-6*(-12)\/600)?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 50722949 to the nearest integer?\nAnswer: 370","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in t + 3*t + 33*t.\nAnswer: 37*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -i*z**2 - 2*i*z - i wrt z.\nAnswer: -2*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 123 - 119. Suppose -u*t + 182 = r, -2*t = 4*r + r - 910. What is the tens digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(g) be the second derivative of -3*g**3\/2 - 9*g. Let w(k) = 8*k**2 - 6*k + 6. Let p(i) = -7*i**2 + 5*i - 5. Let t(r) = -6*p(r) - 5*w(r). Give o(t(l)).\nAnswer: -18*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -4 + 2 + (1 - 3) + 5 + -9?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 1 and 39622?\nAnswer: 39622","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (1\/((-1)\/(-4)))\/(-1). Let x = z - -7. Calculate the lowest common multiple of 14\/4 - (-4)\/8 and x.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:51 AM and 1:10 AM?\nAnswer: 19","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 235 + -335. Suppose 0 = c - 20 + 3. What is the remainder when (m\/6)\/((-2)\/6) is divided by c?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in 3\/10, 5, 3, -3\/68, -0.6?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -16 + 171181?\nAnswer: 171164","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 304 and 38.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -2*l**2*n**4 - 259*l**2*n**2 + 33*l*n**2 + 11362*n**5 wrt n.\nAnswer: -48*l**2*n + 681720*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:40 AM and 9:30 AM?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 11 + -8. Let q(w) = 6 + 7*w**2 - y*w**2 - 16. Let h(k) = -3*k**2 + 9. Let o(m) = -5*h(m) - 4*q(m). Let u(l) = l**2 + 3. What is -3*o(t) - 5*u(t)?\nAnswer: -2*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -7206772, -7206731, -7206688, -7206643, -7206596, -7206547?\n\"Answer: y**2 + 38*y - 7206811","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -2 + 0. Let i be (-20)\/(-119) - 8\/28. Let m = 1 + 1. Which is the nearest to m?  (a) p  (b) i  (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -11 - -11. Let r(y) = y**3 - y**2 - 2*y. Let c be ((-24)\/(-30))\/(4\/10). Let z be r(c). Solve h - 5*s - 29 = z, -h - s + 2*s + 9 = t for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(i) = 5*i**2 + 6*i - 3. Suppose 34 = 2*p - 4*p. Let g(w) = -15*w**2 - 17*w + 9. Let j(h) = p*y(h) - 6*g(h). Find the first derivative of j(n) wrt n.\nAnswer: 10*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 0 - 6. Suppose -426 = 5*s - 2*w, 2*w + 171 = -2*s + 3*w. Let n = v - s. Is n a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -20*v + v - 2907 = 0. Let r be (v\/18 + 7)*90. Which is greater: r or -137?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 5 + -3. Let p = 9 + 5. What is the lowest common multiple of p and k?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of -183*7\/42*(-14)\/7?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ci when two letters picked without replacement from piijc.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -553\/9 + 556\/9. What is the nearest to -8 in -3, j, 2\/41?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(f) be the third derivative of -f**7\/2520 - f**6\/720 + f**5\/20 - f**2. Let o(u) be the third derivative of j(u). Give o(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 652094435?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12*i = 3651 + 21405. Let p = i + -1488. What are the prime factors of p?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -176 divided by 4.\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -4719*g**2 + 7851?\nAnswer: -9438*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 7907 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 47251, 188768, 424635, 754852, 1179419, 1698336, 2311603?\n\"Answer: 47175*c**2 - 8*c + 84","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 1898, 3799, 5700, 7601, 9502?\n\"Answer: 1901*r - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 3598 and 40.\nAnswer: 71960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3640.\nAnswer: 2, 5, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Convert -8549e (base 16) to base 15.\nAnswer: -abb6a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3*(-3*(sqrt(540) - 1*sqrt(540)))\/sqrt(12))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 96*y - 93*y + 6459 + 2652.\nAnswer: 3*y + 9111","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 36\/8 + (-1)\/2. Suppose q = d + 3*d. Which is the closest to d?  (a) 2  (b) 0.1  (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -1783, -1670, -1559, -1450?\nAnswer: -1343","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Express j - 200*j**2 - 159*j**4 - 214*j**2 + 427*j**2 + 56*j**4 in the form c*j**3 + a*j + s*j**4 + o + l*j**2 and give s.\nAnswer: -103","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify x**8*x**(-1\/3)*x**7*x**8 assuming x is positive.\nAnswer: x**(68\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-16)\/(-40) - (-806)\/10. Let k = 148 - n. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -21 - 1321404112?\nAnswer: -1321404133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 8479 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence vh when two letters picked without replacement from vhvhvvvhhhvhvvvhvvv.\nAnswer: 14\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1309?\nAnswer: 7, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -518251*p**4*s + p**2*s + 16058459*s wrt p?\nAnswer: -2073004*p**3*s + 2*p*s","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"}
{"text":"Question: Sort -22, -1, 1, -19.\nAnswer: -22, -19, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {f: 9, e: 3, o: 3, v: 1, w: 2}. Give prob of sequence wfw.\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2639?\nAnswer: 7, 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let q(b) = 4*b + 3. Let h(j) = -j - 1. Let x(g) = -3*h(g) - q(g). Give x(0).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ds when two letters picked without replacement from jjssdssas.\nAnswer: 5\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from hiililhiihhlleyi. What is prob of sequence ly?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 2770.92 + -2771. Which is the biggest value?  (a) 7\/2  (b) s  (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-4)\/((-140)\/455*(-8)\/(-16)).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 45258743 is divided by 376.\nAnswer: 375","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2 = w - 3, 5*p - 70 = -2*w. Suppose p*d = 13*d - 31. Sort d, -0.2, 3\/7 in ascending order.\nAnswer: -0.2, 3\/7, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {c: 7, x: 12, k: 1}. What is prob of sequence kx?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*sqrt(2800))\/(sqrt(640)\/sqrt(10)).\nAnswer: 5*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let k(j) = -12*j + 254. Let b be k(21). Find i such that -2211*i + 2213*i - i**5 - b*i**4 + 5*i**2 + i**4 + 3*i**3 = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.01247556 minus 3?\nAnswer: -3.01247556","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 11 + -9. Suppose 5*g = j - 23, 10 = c*j + g + g. What is the units digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-6)\/(-2)*75\/75.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand 41*p**2 + 19*p**2 + 3*p**2 + (2*p**2 - 8*p + p**2 + 6*p)*(-5 + 4 + 5).\nAnswer: 75*p**2 - 8*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 873 - 873. Which is the second biggest value?  (a) 2\/15  (b) d  (c) 79\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(z) = -4606 + 2*z + 4606. Let f(w) = -w**2 - 36. Calculate f(a(i)).\nAnswer: -4*i**2 - 36","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is (-6 - (2 + -4) - 1) + 2?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 26 = -12*l - l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 16948 + -6448. Round j to the nearest one thousand.\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -120*d = -208561*g + 208557*g - 816, -3*g + 46 = 4*d for d.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {y: 4, g: 3, x: 4}. What is prob of sequence yg?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (0*8\/16)\/(4\/2). Determine c so that -2\/5*c**5 + 2\/5*c**2 + 0 - 6\/5*c**3 + l*c + 6\/5*c**4 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2\/5?  (a) 11043  (b) -4  (c) -0.08  (d) 3  (e) 4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 11097 - 3 - 11 - 8\/(-1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (7\/(-2) + 3)\/((-4)\/136). Suppose -4*o + 12 = -2*f, z = 3*f - 3*o + 4*o. Solve -v = -f*v + 12 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*h - h - 12. Suppose -5*r + 52 = -18. Suppose 5*u - r = h*u. Does 14 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(u) = -44*u + 28. List the prime factors of c(-7).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 12.9 - 13. Which is smaller: l or 1?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 2*t**4*w + 6*t**3*w - t**3 + 275*t**2*w + 2*t*w wrt t.\nAnswer: 48*t*w + 36*w - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: 1048*2\nAnswer: 2096","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-y**4 + 4*y**4 + 11*y**4)*(172*y - 16305 + 16305).\nAnswer: 2408*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Convert -199 (base 15) to base 6.\nAnswer: -1413","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 4090 - 3740. Is m < 350?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -182509 + 4.\nAnswer: -182505","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Express -42*x - 171 + 46*x - 8*x as p + d*x and give p.\nAnswer: -171","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:33 AM and 10:03 AM?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*y + 2*a = -0*a - 11, 0 = -2*y - 71*a + 392 + 14 + 81 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let r(o) = 16*o**2 - 426*o - 213. Let k(x) = -8*x**2 + 232*x + 107. What is 11*k(g) + 6*r(g)?\nAnswer: 8*g**2 - 4*g - 101","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 117792 and 576?\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 41564098 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 451 a factor of 8732713?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10*j**2 - 260425*j + 72905015 = 0. What is j?\nAnswer: -52639\/2, 277","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 39670 divided by -25?\nAnswer: -7934\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is -42a (base 13) in base 6?\nAnswer: -3144","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 523469293.\nAnswer: 5569, 93997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -817*v**6 - 42*v**4 - 1746*v**2 - 55?\nAnswer: -98040*v**3 - 1008*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ihjh when four letters picked without replacement from ihjjhljiuh?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*z**5\/9 - 164*z**4\/9 + 1246*z**3\/3 - 12544*z**2\/9 - 95000*z\/9 + 11552 = 0 for z.\nAnswer: -4, 1, 9, 38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -5438\/5 + 64771\/60. Calculate the common denominator of p and (-7)\/(-4410)*7*-88.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -h + 11 - 1 = 5*x, -5*h = 0. Let q(n) = 21*n**2 - 4*n - 16*n**x - 12*n**2 + 3*n. Give q(-1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(c) = -10*c**2 - 2*c + 5. Let k(d) = 9*d**2 + 2*d - 4. Determine -3*k(j) - 2*l(j).\nAnswer: -7*j**2 - 2*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 12*1853\/(-1308) - 790\/(-35).\nAnswer: 39\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -5051614, -10103197, -15154778, -20206357, -25257934?\n\"Answer: r**2 - 5051586*r - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 134 + -132. Let h = -2 + 57. Suppose h = 3*l - u, f*l = -0*u - 5*u + 48. What are the prime factors of l?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -1, 4, 1.2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 46 times -4.2?\nAnswer: -193.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let k(u) be the first derivative of 0*u + 0*u**3 + 1\/4*u**4 + 1\/5*u**5 - 4 + 0*u**2. Let k(c) = 0. Calculate c.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(o) = -6*o**2 + o + 1. Let w(y) = y**2 + y. What is -v(f) - 4*w(f)?\nAnswer: 2*f**2 - 5*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*o + 11409 = d, -2*d - 14031 = -5*o - 2619. What is the hundreds digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -65\/38232 and 133\/123268464.\nAnswer: 1109416176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from rrdrdrrrrr. Give prob of picking 2 r.\nAnswer: 28\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 167640 and 324104.\nAnswer: 4861560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 291532453 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 19679740*m**3 + 6405*m**2 - 510 wrt m?\nAnswer: 118078440","meta":{"dup_signals":{},"source":"calculus__differentiate_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: Let a(k) = 2*k - 1. Let t be 4 - (-3)\/(-6)*0. Suppose t*v - 3*q - 30 = 0, 2*q - 3*q + 11 = v. Is a(v) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(r) = -r + 3. Let u(o) be the first derivative of -o**3\/3 - 21*o**2\/2 - 40*o + 37. Calculate the remainder when u(-18) is divided by y(0).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((3*(sqrt(102) - -1*sqrt(102)) + sqrt(102) + sqrt(102)*2*4)\/(((sqrt(66) - (sqrt(66) - 1*sqrt(66)))*6)\/(5*sqrt(11)*2)))**2.\nAnswer: 10625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 201, 129, 9, -159, -375, -639, -951?\n\"Answer: -24*n**2 + 225","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-13)\/(7020\/(-48)))\/(2\/(-5))?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*n - 6*q = -q + 7115, 2846 = 2*n - q. What is the thousands digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4 + sqrt(2736)*3.\nAnswer: 4 + 36*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -8 - 66?\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let x(h) = -h**3 - 76*h**2 - 82*h - 459. Calculate x(-75).\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is (6\/(-44)*2)\/((1764\/(-112))\/(-21))?\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -b - 4*l + 4359, -369*l + 366*l + 13077 = 3*b. Is 62 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -5 - -8. Suppose -38*d + 5 = -36*d + 5*s, -s - 23 = -2*d. Put z, d, 0 in descending order.\nAnswer: d, z, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 244*k - 483*k + 61 + 124*k**2 + 241*k wrt k?\nAnswer: 248","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*b = 2*b + c - 188, 4*c = 3*b - 260. Let o = 66 + b. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 k when two letters picked without replacement from bkmbkm?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Round 1171.12 to the nearest 10.\nAnswer: 1170","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -63 in -4, 140, -0.5, -2\/7, 1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 79*n = 77*n - 8, 4 = 4*u - 3*n for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*m - 63 + 13 = 0. Let d be (m\/6)\/((-1)\/(-3)). Let n(k) = 3*k**2 + 6*k + 4. Is n(d) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*l + 37 = 22. Which is the biggest value?  (a) -3  (b) -23\/5  (c) l  (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*f + u - 4*u = -6, -19 = -2*f + 3*u. Suppose f*y - 148 = -4*h + y, -146 = -4*h - 3*y. What is the tens digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:52 PM and 9:17 PM?\nAnswer: 265","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 41*s + 3732 = 21321. Let p = s - 338. Is p a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-3)\/((2\/80)\/((-19)\/(2584\/(-17))))?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose j + 165 = 6*j. What are the prime factors of j\/3 + -2 + 5?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 112167989.\nAnswer: 17, 6598117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -18, 3846, -0.013?\nAnswer: 3846","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-2)\/(-4)*68\/187 + 0?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 4154 - 3857.05. Let f = j - 297. Which is the third smallest value?  (a) f  (b) -0.2  (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*sqrt(352) + (sqrt(352) + sqrt(22) - sqrt(22))*-1)\/((1*sqrt(56))\/sqrt(7)).\nAnswer: -4*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 1239 and 42539.\nAnswer: 413","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let y(p) = p**3 + 5*p**2 + 4*p + 1. Let f be y(-4). Let b be (-128)\/(-24) + f\/(-3). Find the second derivative of w**3 + 2*w - b*w - w wrt w.\nAnswer: 6*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2572512 divided by 12192?\nAnswer: -211","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 631 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let l(c) = 2 + 16691*c + 6*c**3 + 0*c**2 + 2*c**2 - 16688*c. Let t(b) = -29*b**3 - 11*b**2 - 16*b - 11. Give -11*l(f) - 2*t(f).\nAnswer: -8*f**3 - f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -123979\/1849 or -66?\nAnswer: -66","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*g = 4*q - 11, 8*g + 29 = 11*g + 4*q for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7 = 3*q + 5, -4*q = 2*j + 10. Let k = -155 + 170. Solve j*r + 2*r = k for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 189 is divided by 150\/8 - (-6)\/(-48)*-2.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(k) = -k. Let n(b) = -332*b - 10. Let o(p) = 332*p + 12. Let u(x) = -6*n(x) - 5*o(x). Give u(m(s)).\nAnswer: -332*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 249825?\nAnswer: 3, 5, 3331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -75*j**2 - 38*j**2 - 73*j**2 + j**3 + 478*j - 476*j + 48*j**2 to the form k*j + t*j**3 + v + o*j**2 and give o.\nAnswer: -138","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 16*2\/16 + 5\/(-1).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1037000 rounded to the nearest 100000?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -69, -116, -207, -348, -545, -804, -1131?\n\"Answer: -s**3 - 16*s**2 + 8*s - 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 13885742 is divided by 6942859?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 9 - 3. Let g(t) be the first derivative of t**3\/3 - 3*t**2 + 3*t + 7. What is the units digit of g(m)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(q) = 11*q. Let c(z) be the second derivative of 1\/3*z**3 + 0*z**2 + 0 - 83*z. Calculate c(f(b)).\nAnswer: 22*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 t and 1 r when two letters picked without replacement from ctxrkxuc?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let x(v) = -v + 9. Let a be x(0). Let y(k) = k - 4. Let p be y(a). Find the common denominator of 93\/2*p\/(-15) and 2\/11.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -107\/228 and 31\/160.\nAnswer: 9120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 2 and 476.\nAnswer: 476","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4*y - 30734 + 30734.\nAnswer: 4*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let r(d) = d**3 + 4*d**2 - 6*d + 6. Calculate r(-6).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.7422543 rounded to two decimal places?\nAnswer: 0.74","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*r + 63 = -2*r. Let q(o) = -5*o + 0*o + 4*o + r. Let b be q(15). Calculate the greatest common divisor of 3 and b.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 2621459?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Express 22*k**3 - 18*k**3 + 1 + 4*k - 7*k - 2*k**2 in the form s*k**3 + z*k**2 + d*k + q and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 - 3 - 2)*(-5*a + 2*a + 4*a) + 0*a - 2*a + 0*a + a + a - a + 3 - 3 - 2*a + ((1 - 2 + 0)*(-111 + 111 - 67*a) + 2 - 2 - a)*(3 - 3 - 2).\nAnswer: -137*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let x(j) be the third derivative of -j**5\/60 - 3*j**4\/8 + 2*j**3 + 8*j**2. Let n be x(-14). What is n rounded to the nearest 10?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3449292.\nAnswer: 2, 3, 7, 11, 3733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -20117189 divided by -257.\nAnswer: 78277","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let k(f) = 122 + 3*f + 38 - 27*f + 5. What is k(6)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 32874?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 28\/15 and 61\/90.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 l, 1 m, and 1 j when three letters picked without replacement from jomollooomjmo?\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -429\/92 + 19\/4. Let n = 90841\/453980 + -9\/90796. What is the fourth biggest value in m, n, -0.5, 2\/13?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(m) = 3*m - 3308*m**2 + 9930*m**2 - 1 - 1 - 3312*m**2 - 3309*m**2. Let y = -14 - -8. Let a be (-2)\/y + (-13)\/3. Calculate b(a).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 - 1 + 1)*(g**2 - 35*g**2 - 36*g**2 + 5*g**2 - 2*g**2 - 2*g**2 + (4 + g - 4)*(4*g + 5*g - 3*g)).\nAnswer: -63*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 4d (base 16) in base 4?\nAnswer: 1031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -52\/3 and -87\/2.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 947.12 millennia in months?\nAnswer: 11365440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x(p) = p**3 - p**2 - 6*p + 8. What is x(-3)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 1\/(-2) + 2\/(0 - -4). Solve -4*i + 12 + 8 = p for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {s: 5, l: 7, x: 1}. Give prob of picking 2 s and 1 l.\nAnswer: 35\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 162983341.\nAnswer: 223, 730867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 3\/(16\/40 + 109\/(-274)). Calculate the greatest common divisor of 10 and d.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2\/5 in 3, 55\/7, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -95 or -0.12?\nAnswer: -95","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 5256997?\nAnswer: 37, 47, 3023","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 377 - -3172367?\nAnswer: 3172755","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -703 - -4751. Is f a multiple of 184?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 20\/13 + -145\/52. Let x = -0.2 + 0.4. What is the second smallest value in 1, w, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 121 - 3?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 321 minutes before 6:11 PM?\nAnswer: 12:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is five sixths of a decade in months?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 383608253 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify j**(2\/13)\/(j*j\/(j\/((j**(-5)*j)\/j))) assuming j is positive.\nAnswer: j**(54\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 26 + (-8 - -21) + (-36 - -2).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 444794 and 698962?\nAnswer: 4892734","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let z(v) = v - 11. Let i be z(9). Let p = 0.07 + 2.93. What is the second smallest value in p, i, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -26\/207 and 103\/24.\nAnswer: 1656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 976876519 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2 in -5, 73\/23, -4?\nAnswer: 73\/23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 9.6 - 10. What is the nearest to -1 in 5\/4, -0.3, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put together 174596898 and 0.3.\nAnswer: 174596898.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let z(c) be the third derivative of c**3 + 1\/8*c**4 + 1\/60*c**5 + 0*c - 4 + 16*c**2. What is z(-3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r**(-6\/11)\/((r\/r**(-1\/10))\/r*r*r*r*r))\/(r**0*r)**(-38) assuming r is positive.\nAnswer: r**(3669\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((o\/((o\/(o**(-6)*o))\/o))\/(o**1*o)*(o\/((o**(-1\/2)*o)\/o))**(-34\/3))\/((o**(-2))**2*(o**(-1)\/o*o)**26) assuming o is positive.\nAnswer: o**7","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Work out -3 + 0.46509957563.\nAnswer: -2.53490042437","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: -7 + 14 + -1 + 0\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((g\/(g**(-3\/4)*g))\/g*g*g)**(-15)*(g**11\/g)\/g*g*(g**(3\/11)\/g)\/g*g)**(6\/7) assuming g is positive.\nAnswer: g**(-2241\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let m be -180*(80012\/(-12) - -1). What is m rounded to the nearest 1000000?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1763299 (base 10) to base 16.\nAnswer: -1ae7e3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1157 = -199*g - 37 for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-7*j - 2*j + 4*j)*(5 + 1 - 4)*(12*j**2 + 15*j**2 - 25*j**2 + (j**2 + 4*j**2 - 4*j**2)*(-4 + 0 + 5)).\nAnswer: -30*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let o be -1 - 2*6\/(-4). Which is the nearest to -0.9?  (a) -5  (b) o  (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*j - 288 + 63 = 0. Calculate the remainder when j is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(l) = l**3 + 7*l**2 + 3*l + 10. Suppose 56 = -5*k + 21. Calculate s(k).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(z) = -6 - 4*z + 9*z + 3*z**2 - 2*z**2. Suppose -10 = -t - 4*t, 4*p - 2*t = 20. Let b(g) = -g + 1. Let r be b(p). What is j(r)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (9 + (-160)\/(-28))*1. Which is greater: b or 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 26023?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -3*c - 21, 5*u - 9*u + 1 = -6*c + 3*c for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -221*z + 257*z - 468 = 0. Solve -z*g = 11*g + 24 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is (-516469501)\/(-824) - 21\/56 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -48*z - 1467 = -211*z for z.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Round -751.3397989 to one decimal place.\nAnswer: -751.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let a(w) = 1260*w + 27. Let t(d) = 1259*d + 33. Give 6*a(o) - 5*t(o).\nAnswer: 1265*o - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: 0 - (0 - 14) - (-38 - (38 + -28))\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*p + 5*d + 2408 - 433 = 0, 5 = -d. What is the hundreds digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -r - 4*w = 18, 9 + 12 = -2*r - 5*w. Does 14 divide r\/((-3)\/((-780)\/8))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2284334 divided by -2284334?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 258846?\nAnswer: 2, 3, 7, 6163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-12)\/20*(7\/(-3))\/(-7).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(z) = -18169*z. Let n(p) = 7*p. Determine n(s(o)).\nAnswer: -127183*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 174\/11 - 533\/33. What is the biggest value in 2\/3, b, -0.11, -4?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*n = 185 - 201. Let h be 10\/42 - -1 - n\/12. Let l be -5 + 4 - (-26)\/22. Which is the second biggest value?  (a) h  (b) 2  (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from eee. What is prob of sequence eee?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 10754.\nAnswer: 2, 19, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z*z**(11\/4))\/(z*z*z*z**(-2\/11)) assuming z is positive.\nAnswer: z**(41\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3312 = 60*k + 74*k + 10*k for k.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 2 - 2. Let f be 1\/2*(-10)\/(-1). Suppose -53 = -4*c + 2*y + 115, g = -f*c + 3*y + 211. What is the tens digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (7*2\/35)\/(-1 - 0). Let k = 47\/115 + -14\/23. What is the third biggest value in o, -13, k?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 63a20 - -3241?\nAnswer: 67161","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand -7*b - 1 + 0*b + 3*b + 1 + 3*b - 1 + (2 + 4 - 4)*(-3 + 3 + 4*b).\nAnswer: 7*b - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 8\/(-20) - 23\/5. What is the closest to 1 in -4, 1, a?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(o) = -o**2 - 10*o - 11. Let z be t(-9). Let d(g) = 2*g - 2. Let h be d(-7). Let i = z - h. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in 43\/2 of a meter?\nAnswer: 21500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 24 + -10220123?\nAnswer: -10220044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 13*l + 219*l + 27*l.\nAnswer: 259*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 143 is divided by 25.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(12) - sqrt(36)\/(-2*sqrt(3))) + sqrt(120)\/(-1*sqrt(10)))\/(-2*(2*sqrt(400) - sqrt(400))))**2.\nAnswer: 3\/1600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let u(k) = -4*k + 21. Is u(-6) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*f + 3*v = 35, 2*f + 3*f + 4*v - 40 = 0 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let p(m) = 65*m + 2. Let l be p(-3). Let g = -51 - l. Round g to the nearest 10.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*x + 3*x = 2*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 59870*s - 59874*s = -20, 4*s + 27 = -h for h.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {u: 3, h: 12, s: 1}. What is prob of sequence usu?\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let g(t) = -t**2 - 3*t + 19. Let p be g(-6). Which is smaller: p or -1\/28?\nAnswer: -1\/28","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.05 * -0.571\nAnswer: -0.02855","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: 0.8441119*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*o = 4*d + 11, d - 6*d = -3*o - 14. Calculate the common denominator of (0 - d) + 18\/132 and 8\/(-20) - (-63)\/(-10).\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 5197 + -1221. What is the highest common factor of 56 and w?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(i) = 0*i**2 - i**3 + 2 - 4*i**2 - 2*i + 4*i + 8*i. Is v(-7) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 11110111 (base 2) to base 5.\nAnswer: 1442","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 1.751 and -15632988501?\nAnswer: 15632988502.751","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 1.2 or -42?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(50)*2*2 - sqrt(50))*4)\/((sqrt(60) + sqrt(660)\/(1*sqrt(11)))\/sqrt(6)))**2.\nAnswer: 180","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.02 in -4, -0.2, 21261, -0.5, -1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let h(l) = -3*l + 1. Let m be h(-3). Suppose -o = -2*z + 6, 2*z + z - m = o. Suppose 92 = 4*c - z*k, k + 0*k + 2 = 0. Is c a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 0.06 + -0.06. Let z = 136 - 134. What is the second biggest value in -0.02, z, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -1 + 4. Suppose -95 + 70 = -5*f, 5*o + 5*f - 40 = 0. Calculate the greatest common divisor of o and t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 8501 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -50577 + -4?\nAnswer: -5057b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 349544, 349527, 349510, 349493?\nAnswer: 349476","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 848506, 848499, 848492, 848485, 848478, 848471?\n\"Answer: -7*y + 848513","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify i\/(i**(5\/4)\/i)*i**(6\/7)*i\/i**(-14)*i**(-2\/35)*i assuming i is positive.\nAnswer: i**(351\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*w = 4*k - 7, -4*k + 2 = -2*w - 5*k for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((c*c**0)**(-32))**26*((c\/(c*c**(-2)))\/((c*c\/(c\/(c**(2\/9)\/c*c)))\/c))**(-27) assuming c is positive.\nAnswer: c**(-880)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1988566.\nAnswer: 2, 127, 7829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Put 6, 5, 1, 477 in descending order.\nAnswer: 477, 6, 5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*v + 59*z - 58*z = 8, 4*v + z = 8. Factor -8\/3 + v*x + 1\/12*x**3 + 1\/2*x**2.\nAnswer: (x - 2)*(x + 4)**2\/12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 5*a, 2*a + 2*a + 20 = -4*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 3652307 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 103\/192 and 44\/(-55) + 19772\/(-2560) + 8?\nAnswer: 384","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(n) = 118*n + 11. Let b(k) = 127*k + 1. Let w(a) = 63*a + 1. Let q(z) = -4*b(z) + 9*w(z). Let v(t) = 5*q(t) - 2*y(t). What is the units digit of v(2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*d + 0*d + 12 = 0. What is the units digit of ((-20)\/15)\/((-4)\/d)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(y) be the first derivative of 2\/3*y**3 - 2 - 4*y**2 + 8*y. Let a(h) = h - 1. Let x(w) = w**2 + 8*w - 106. Let p be x(7). Determine p*b(m) - 8*a(m).\nAnswer: -2*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 311426?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3\/5, 1\/7, -0.1, 4, 0.\nAnswer: -3\/5, -0.1, 0, 1\/7, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence upta when four letters picked without replacement from gtutjpa?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 n when two letters picked without replacement from {w: 1, n: 11}?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 34 divided by 436426.\nAnswer: 17\/218213","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let w(i) = 4*i. Suppose -16*o + 10 = -11*o. Suppose -o*y = 4*y - 6. Let q(p) = 23*p - y - 12 + 13. What is w(q(n))?\nAnswer: 92*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (8\/70*-1)\/(((-1134)\/45)\/(-21)).\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -38*g*k*r**3 - g*k*r**2 - 10861*g*k - 3*k*r**3 + 2382*r**3 - r**2 wrt r.\nAnswer: -228*g*k - 18*k + 14292","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 2 + -301114222?\nAnswer: -301114220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*u - 3*u + 3513 = 0. Let k = 2489\/2 + u. Factor 0 + 0*v + k*v**5 + 48*v**3 - 6*v**2 - 231\/2*v**4.\nAnswer: 3*v**2*(v - 1)*(7*v - 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(l) = 12*l**2. Calculate y(-1).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 9880807 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 9\/67 + -1327\/402. Let r = -8\/3 - n. Which is the smallest value?  (a) r  (b) -1\/3  (c) -1\/5  (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*v = -2*v - 2. Let r(q) = -19*q + 37*q - 23*q + 1. What is r(v)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(h) = -h**2 - 8*h - 7. Let q be (-114)\/(-22) + 8\/(-44). Suppose q*u - 68 = 17. What is the remainder when u is divided by w(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 8*p - 13*p + 30. Let i(b) = -3*b - 1. Suppose 13 = 2*u + 5*q, 5*u - q - q + 11 = 0. What is the remainder when p is divided by i(u)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 4 + -23246031?\nAnswer: -23246024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let y(x) = -5*x. Let t be (-1 - (-44)\/36) + (-250)\/(-9). Suppose -r = 2*r + 4*i - t, -6 = -r - 3*i. Let b(j) = -23*j + 8*j + r*j + 7*j. What is y(b(a))?\nAnswer: -20*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 2667\/3340 + 1\/668. Let 6\/5*v**5 + 0*v + 0 + j*v**3 + 14\/5*v**4 + 0*v**2 = 0. Calculate v.\nAnswer: -2, -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose w = 2 - 6. Let l(b) = b - 1. Let t be l(5). Sort t, w, -1.\nAnswer: w, -1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -0.12 + 0.26. Let n = q - -1.86. Let z = -3.2 - -3. Which is the nearest to n?  (a) 3  (b) z  (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -m - 2*m - 6*k + 39 = 0, 4*k = 2*m + 6 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.1427 + 0?\nAnswer: -0.1427","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -4, -0.064, 4, 1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 6313011 to the power of 1\/7, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Divide 13755 by 3.\nAnswer: 4585","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*o**2\/8 + 12879*o\/8 - 6441\/4.\nAnswer: 3*(o - 1)*(o + 4294)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let q(t) be the first derivative of 6*t**5\/5 - 57*t**4\/4 + 9*t**3 - 339. Factor q(o).\nAnswer: 3*o**2*(o - 9)*(2*o - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 15015 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.1 * 49.\nAnswer: -4.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*n + 3*n = 0. Suppose -i + 5 = -n. Differentiate -w**3 - 2*w**3 - 4 + i + 1 with respect to w.\nAnswer: -9*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -4\/279 + -3049\/1395. Is -1 at least h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (52\/91)\/(12\/(-14))?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8 = -316*s + 314*s. What is the second derivative of 6 - 7 - 10*d**s - 6*d**4 - 36*d wrt d?\nAnswer: -192*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 z and 1 y when three letters picked without replacement from {z: 4, y: 1, w: 8}.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 102716711 to the nearest integer?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -276*o + 779.\nAnswer: -276","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let m(q) = -11*q**3 + 2*q**2 - 2*q + 1. Suppose 3*l = -g + 12, -g - 3*l = -4*g. Let b(a) = a - 15. Let w be b(22). Suppose 4*p + g = w*p. Give m(p).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -39, -37, -33, -27?\n\"Answer: k**2 - k - 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s(p) = -p**3 + 3*p**2 + p. Let d = -21 - -24. Let a be s(d). What is the derivative of -5*z**2 - 2 - 8 + a*z**2 wrt z?\nAnswer: -4*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 295 is divided by 20?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -375, -1093, -2301, -4011, -6235, -8985?\n\"Answer: -2*p**3 - 233*p**2 - 5*p - 135","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i(n) = 11*n**3 + 15*n**2 + 2*n - 9. Let y(b) = -5*b**3 - 7*b**2 - b + 4. Let q(l) = 4*i(l) + 9*y(l). What are the prime factors of q(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-88*(-369)\/(-44649))\/((-20)\/(-22) - 1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(102) - -6*sqrt(102)*1 - sqrt(102))\/(sqrt(24)\/(-2*sqrt(4))).\nAnswer: -12*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: 20808 (base 9) to base 10\nAnswer: 13778","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 u and 1 r when three letters picked without replacement from ujhezreu?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -873, -716, -559, -402, -245?\nAnswer: -88","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2634*v + 194612 = 33938 for v.\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 121122110111112221 + -2?\nAnswer: 121122110111112212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence rc when two letters picked without replacement from vcrv?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -23395 + 3852?\nAnswer: -19543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let k(d) = 4*d**3 + 2*d**2 - 2*d. Let m be k(2). Let f = m - -8. Is f a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(t) = 27*t + 2. Let p be f(1). Let r = -29 + p. Solve 3*o - 5 - 1 = r for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*r - 4*r + 196 = 0. Let w = -244\/5 + r. Which is the closest to -1?  (a) 5  (b) w  (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be -3*((-4)\/(-3) + -2). Suppose -4*c + 7 - 17 = -w, s*c + 14 = 5*w. Suppose w*f = 47 + 15. What are the prime factors of f?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(w) = -w**3 + w**2 - 1. Let i(c) be the first derivative of -7*c**4\/4 + 2*c**3\/3 - 3*c - 22. Calculate i(p) - 3*m(p).\nAnswer: -4*p**3 - p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 232395387?\nAnswer: 3, 7, 1580921","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Factor o**2 - 678*o - 679.\nAnswer: (o - 679)*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 682 minutes before 4:48 PM?\nAnswer: 5:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let n(t) = -t - 4. Let g be n(-6). Suppose 2*j - 4*j = 4*o - 764, g*j = o + 744. Suppose 261 = 5*q - j. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(p) = -3*p + 2. Let g(w) = w + 25. Let d(z) = z + 14. Let y(u) = -7*d(u) + 4*g(u). What is -6*f(s) + 5*y(s)?\nAnswer: 3*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence wwww when four letters picked without replacement from wwwwwww.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 t, 1 f, and 1 g when four letters picked without replacement from {t: 2, b: 2, l: 2, f: 2, m: 3, g: 4}.\nAnswer: 8\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 251  (b) 0  (c) -0.2  (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -5.751 and 2?\nAnswer: -11.502","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let g(o) = o**3 + 13*o**2 + 7*o + 65. What is g(-10)?\nAnswer: 295","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: 6825 divided by -6830\nAnswer: -1365\/1366","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 91117622 to the power of 1\/3, to the nearest integer?\nAnswer: 450","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 110 times -3092.066?\nAnswer: -340127.26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let n(a) = -a**2 - 1. Let r(k) be the third derivative of k**5\/60 - k**3\/3 - 315*k**2. What is n(s) - r(s)?\nAnswer: -2*s**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ddad when four letters picked without replacement from {r: 1, a: 1, d: 3}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 f and 2 j when three letters picked without replacement from {c: 1, o: 4, j: 2, f: 1}.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*x**2\/9 + 32*x\/9 + 110\/9.\nAnswer: 2*(x + 5)*(x + 11)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let c(t) = -4*t**3 + 7*t**2 - 6*t + 47. Let b(s) = -2*s**3 + 4*s**2 - 4*s + 24. Let d(o) = -7*b(o) + 4*c(o). Differentiate d(f) with respect to f.\nAnswer: -6*f**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*o - 36 = 4*s, -3*o - 2 = 5*s + 21. Let n = o - -23. Let z(v) = 13*v**3 - v**2. Let i be z(1). What is the highest common divisor of i and n?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 31.4 plus 6943.81?\nAnswer: 6975.21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 14719 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: Sort -2\/7, -17\/2, 3, -0.3 in decreasing order.\nAnswer: 3, -2\/7, -0.3, -17\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Express 684*f + 1 - 6 - 712*f - 1 + 0 in the form m*f + s and give s.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 18606 and 6413754.\nAnswer: 44896278","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let q(o) = -13*o - 1438. Give q(-115).\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 1943042?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let n be -11*(-3 + -20) + -1. Suppose 8*a - n = 4*a. What is the tens digit of 4644\/a + 2\/7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -0.125 + -0.275. Which is the second biggest value?  (a) -36  (b) 1\/5  (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*q + 3*t - 15 = -3*q, -5*q - 5*t + 5 = 0. Let w = -13 - -7. Does 5 divide -4*q\/w*-5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 10 - 100101?\nAnswer: -100021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is -114.3 + -9.8?\nAnswer: -124.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*z + 5*t - 13, -3*z + 2*t - 18 = z. Let d(l) = 6 - 8 + 3*l + 7 - 2*l. Calculate d(z).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put together 0.23489376 and -18759.\nAnswer: -18758.76510624","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 108408*x - 54204*x - 54202*x - 31*x**3.\nAnswer: -31*x**3 + 2*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*l + 6*l - 8. What is the second derivative of 4*u**3 + 29 + l*u - 29 wrt u?\nAnswer: 24*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k**(-10))**(-43)*(k**(-2\/17))**(-2\/39) assuming k is positive.\nAnswer: k**(285094\/663)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 1572 + -3612. Round k to the nearest one hundred.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*y - f - 953, -y + 5*f + 670 - 207 = 0. What is the units digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(a) = a**3 - 7*a**2 + 2*a - 4. Let t be z(7). Let d = 22 - t. Solve o = -3*o + d for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-7)\/(((-870)\/29)\/30)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 2402442 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 309?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*p - 32 = -2*p. Suppose -w + 5*w - p = 0. Suppose u + w = 8. Calculate the lowest common multiple of u and 2.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-3660)\/1020*17 + (-80)\/5.\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -544412*f**3*g*z**3 - 3*f**3*g*z + 19*f**3*z**2 + 57*f**3 + 3*f**2*z + 2*f*g*z**3 - f*g*z**2 + f*z**2 wrt z?\nAnswer: -3266472*f**3*g + 12*f*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let m(t) = t**3 + 13*t**2 - 15*t + 15. Let a be m(-14). Suppose 0 = 3*u - 2*u - a. Suppose 0 - 15 = -p. What is the remainder when u is divided by p?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 3, -37, -0.3, -11500, -4, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 90*j = 77*j. Let v = -80 + 82. Which is the second biggest value?  (a) 3\/5  (b) v  (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-1)\/(-5) - 1*(-4)\/(-20). Let b = 2 - y. Solve -4*c + 20 = i, -3*i + 4*c - 6 = -b for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(c) = 3*c**2 + 20*c - 61. Let y be s(-9). Solve f = -2*v - 1 - 0, y*f + 2 = 3*v for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(x) = 127*x**2 - 14*x - 26. Suppose -4*r - 16 = 0, 2*y + 5*r + 11 = -23. Is g(y) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of (-1)\/(-5) - 966\/80 and -17.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(u) = 8*u + 1. Let a(j) = j**2 + 4*j + 5. Let q(p) = p + 1. Let s be q(-3). Let f be a(s). Determine v(f).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((u\/u**7)\/u)\/u*u*u*(u**0\/u)\/u*u)**(-21)\/((((u*(u\/((u*u**(-1\/7))\/u*u))\/u)\/u)\/u)\/u**(-2\/5))**28 assuming u is positive.\nAnswer: u**(939\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 + 3 - 6)*(-2*x**2 + 2 + x**2 - 4).\nAnswer: 3*x**2 + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 1050146217 to the nearest integer?\nAnswer: 1016","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Factor -y**2 - 218438*y - 11928789961.\nAnswer: -(y + 109219)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let b(z) = -3*z + 7. Let a(d) = 7*d + 1. Let q(n) = -4*n - 1. Let j(y) = -3*a(y) - 5*q(y). What is -2*b(f) + 7*j(f)?\nAnswer: -f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let x(j) = j**3 + 5*j**2 - j - 5. Let f be x(-5). Suppose 0 = 3*p + 2*p + 5. What is the units digit of f\/p - 1*-2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 28, -83, -4, -46, 0, 5 in descending order.\nAnswer: 28, 5, 0, -4, -46, -83","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*m = -10*w + 5*w + 19, -10 = -2*w + 2*m. Suppose -5*j = w*l, -j + 4*l = l. Suppose 9 = -3*t, -2*q + 2*t - 7*t + 35 = j. What is the tens digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 9.3 + 3.7. Let j be (-16)\/(-7)*4\/(-16). Which is the third biggest value?  (a) 4  (b) h  (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, 11, -3 in increasing order.\nAnswer: -3, 2, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 100 a factor of 13470557?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*c - 50 = 2*c. Suppose -g - g + c = 0. Let i(r) = 0 + 5 - r - g. Let v(b) = 3*b. Give i(v(w)).\nAnswer: -3*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2\/7?  (a) -7015.82  (b) -0.1  (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 2.8 + -7.5. Let m = -6.7 - z. Let p be ((-2)\/(-6))\/((-28)\/(-63)). Which is the third biggest value?  (a) p  (b) m  (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 140 and 145040?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -5*y + p + 6, -y = -2*y + 3*p - 3 - 7 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 2429 + -2424. Suppose 0*i = -d - i + 8, 4*d = -3*i + 30. Put d, 3, v in descending order.\nAnswer: d, v, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(a) = -a**2 - 4*a + 1. Let w be v(-3). Let f = 4 + -2. Let h = w - f. What is the units digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 20 a factor of 49049378?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 16*-53.\nAnswer: -848","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let w(b) = -b**3 - 42*b**2 - 434*b + 73. What is w(-19)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*b - 122 + 267. What is the remainder when 82 is divided by b?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -1c50 - -2225?\nAnswer: 3b5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 501 - 501. Solve 2*m + 2*r = 10, -2*m - r = -a*r - 9 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -26094248\/1147 - -22750. Is f at most as big as 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 189.9691 + -190. Let x = -0.0124 - n. What is x rounded to two dps?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence mt when two letters picked without replacement from {t: 3, m: 1}.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) -3  (b) 6  (c) -1  (d) 3  (e) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let x(s) = s + 1. Let t(p) = -2*p**2 + 2*p. Let f(c) = -3*t(c) + 3*x(c). Let o(k) = -7*k**2 + 4*k - 3. Determine -5*f(l) - 4*o(l).\nAnswer: -2*l**2 - l - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4*((sqrt(130) - 1*sqrt(130) - sqrt(130) - sqrt(130))\/sqrt(10) + sqrt(13) - sqrt(13)).\nAnswer: -8*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 2*p*q**3 - 314*p*q**2 + p*q*x + 42368893*q**3*x + 2*q**3 + q**2 + 426*q wrt x?\nAnswer: p*q + 42368893*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let o(s) = 6*s**2 + s + 3. Let t be ((-4)\/12)\/((-2)\/(-18)). Let h(a) = a**2 + 1. Let f(d) = t*h(d) + o(d). What is the second derivative of f(y) wrt y?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(x) = -30562*x + 61199. Determine s(2).\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*x + 3*k + 4 = -7, 0 = 2*x + 4*k - 22. Suppose 0*i - 58 = -3*i - x*z, i + 5*z = 26. Calculate the least common multiple of 10 and i.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-9)\/(-54) - 143\/(-6). Let t be r\/(-18)*(-12)\/8. Factor -i**3 - 14*i**5 - 27*i**4 + i**5 + i**5 - 3*i**t - 17*i**3.\nAnswer: -3*i**2*(i + 1)**2*(4*i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(931)*-1 - sqrt(228)\/(sqrt(48)\/sqrt(4)))**2*3 + -4*((sqrt(304) + 1)**2 - sqrt(304))*-3*-5.\nAnswer: -14652 - 240*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 835 - 494. Suppose c - r = 5*d, -1255 = -4*c - 3*d + 17. What is the units digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*a + 5*q - 200 = -8*a, 0 = 5*a - 3*q - 250. Suppose -4*w + a = -66. Calculate the remainder when w is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 154620784?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 0.7 + 2.3. Let j = x + -5. Let m = 0 + 0.5. What is the nearest to 0 in m, j, 3?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -65\/35049 and -41\/30042.\nAnswer: 210294","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Put -334, -13, 37 in increasing order.\nAnswer: -334, -13, 37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let u(h) = -15661*h + 15659*h - 169 + 169. Let o(c) = -209*c + 13. Let n(m) = -35*m + 2. Let w(p) = 39*n(p) - 6*o(p). What is w(u(l))?\nAnswer: 222*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: -1423 (base 5) to base 13\nAnswer: -154","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b(p) = p**3 - 5*p**2 - 3*p + 2. What is b(4)?\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -82*p**2 + 24*p**2 - 40*p**2.\nAnswer: -98*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -407 - -810. List the prime factors of w\/4 + 0 - (-2)\/8.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 102032013332 (base 4) in base 3?\nAnswer: 22222200001102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -368*f = -356*f + 4848. Which is smaller: -403 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(r) be the first derivative of r**5\/120 + 2*r**3 - 4. Let f(m) be the third derivative of p(m). Let z(l) = -l. Calculate z(f(g)).\nAnswer: -g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((1 + 4 - 3)*(2 + 1 - 2) + 9 - 4 + 5)*(4*l - 4*l - 5*l**2)*(2 - 2 + 3*l).\nAnswer: -180*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let -2*l**2\/11 + 326*l\/11 - 10004\/11 = 0. What is l?\nAnswer: 41, 122","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 516300\/(((-42)\/98)\/((-200)\/7)). What is r rounded to the nearest 1000000?\nAnswer: 34000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine t, given that 2*t**3 + 228*t**2 + 8664*t + 109744 = 0.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2\/3?  (a) -2\/5  (b) 55  (c) 2\/47  (d) -3  (e) 1\/2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let l(f) be the third derivative of -113*f**8\/336 - f**5\/20 - 5*f**4\/24 + 3*f**2 - 5*f. Find the third derivative of l(v) wrt v.\nAnswer: -6780*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 2100 - 20?\nAnswer: 2010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Round -15402.934 to the nearest 10.\nAnswer: -15400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -119\/78552 and -10\/55641.\nAnswer: 1335384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 13 - 8. Let j be ((-3204)\/90 - -35)*(2 - -3). Which is the nearest to r?  (a) -2\/7  (b) 0.2  (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -268804 divided by -1139.\nAnswer: 236","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 8 and 344.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -2.3 - -0.3. Which is the closest to 1?  (a) -3  (b) o  (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 126904*a + 103754 with respect to a.\nAnswer: 126904","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -2  (b) -3\/25  (c) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -116, -205, -284, -359, -436, -521?\n\"Answer: -w**3 + 11*w**2 - 115*w - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 161620 bigger than 161745?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -3199*n + 4147*n**4 + 4151*n**4 - 8298*n**4 - 181*n**5 + 511*n**5 wrt n?\nAnswer: 6600*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0883 to three dps.\nAnswer: 0.088","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 2134 - 1254. Suppose -5*i + b + 2221 = 4*b, 2*i - y = 3*b. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z\/z**1)**(-2\/63) assuming z is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let w(x) = 2*x**3 + 3*x + 3. Let n(l) = 11 - 20*l + 5*l + 13*l + 6. Let k be n(-15). Let q = 41 - k. Let r(o) = 12*o**3 + 17*o + 17. Determine q*r(c) + 34*w(c).\nAnswer: -4*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 6502 + -6502.2482. Which is smaller: l or -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(v) = v**3 - 11*v**2 + 43*v - 81. Let t be k(7). Solve 4*p - t*p = -20 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1\/2?  (a) -11  (b) 4  (c) -3\/2  (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*i + 9*n - 22 = 10*n, -4*i - n = 18 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((2 + -6*(-5 + sqrt(14)\/(sqrt(7) + sqrt(63)\/(sqrt(36)\/sqrt(4)))))*-1 + 0)**2.\nAnswer: -192*sqrt(2) + 1042","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -191*o**2 - 765*o**5 + 329*o**2 - 198*o**2 - 93*o + 103*o**5 - 2*o**3 wrt o?\nAnswer: -39720*o**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 u and 1 x when two letters picked without replacement from xuux.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose s + 3*s = 64. Suppose -163*w = -165*w - 4*q + 32, -5*w + 2*q + 128 = 0. What is the lowest common multiple of w and s?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 123 (base 5) in base 6?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 280 + -174. Suppose -5*s - 51 = 2*t - 567, -t - u = -s. List the prime factors of s.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 4?  (a) 0.1  (b) -2\/13  (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 58562895 is divided by 22.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let q(s) = 3*s**2 + 32*s + 23. Let x be q(-10). Let c(h) = -14*h**2 - 2*h + 18. Let a(w) = -5*w**2 - w + 6. Calculate x*c(i) - 8*a(i).\nAnswer: -2*i**2 + 2*i + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 0.2 + -10.2. Let h = 5 + f. Is 1\/4 equal to h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -15431 (base 6) to base 3.\nAnswer: -10111001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 417.4 and -978509.803?\nAnswer: 978927.203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3143.\nAnswer: 7, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4563*t - 1520*t - 1522*t - t**2 - 1521*t + 3*t**2.\nAnswer: 2*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0000004556 to 7 dps.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*h - 65*o + 63*o - 38 = 0, -7*h - 4*o = -7*o - 53 for h.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let w(q) = 12*q - 64. Let x be w(6). Calculate the highest common divisor of 256 and x.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-4*b + 6*b - 3*b + (1 - 1 + 1)*(b + b + 0*b))*(4*b - 6*b + 6*b + (b + 2 - 2)*(-1 - 2 + 4) - 2*b + 5*b - 6*b) in the form g*b + d + q*b**2 and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Put -2, -16, 4, 6 in descending order.\nAnswer: 6, 4, -2, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 5512 and 4936?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5*-2*sqrt(200) + -1.\nAnswer: -1 + 100*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-2 - -1 - (-44 + 50)) + 22?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v(l) = l**3 - 30*l**2 - 64*l - 66. Let t be v(32). Is -65 at most as big as t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (7 - (8 - 4)) + -6 - -3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 10\/39 and 41\/13995.\nAnswer: 181935","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let t(j) = -2*j**2 + 15*j - 7. Let p be t(11). Let o be p\/7*(-2)\/8. Suppose -4*c = -4, -a - c = o*c - 19. What is the remainder when a is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -d + 955 = 4*d. Suppose 8 = -4*n, 0*n + 3*n = 5*z - d. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4\/5 + (-13)\/65 + (-1287784)\/(-11560).\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 62 - d?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is (2\/6)\/(3\/162) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*h - j + 2518 = 0, h - 5*j - 2026 = -3*h. Is 24 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1*-3*(5 + (0 + sqrt(125))**2 + (sqrt(125) + (-3 + sqrt(125) - sqrt(125)) + 1)**2)*3.\nAnswer: -2331 + 180*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 3023 or 56?\nAnswer: 56","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve w - 8 = 4*h, -2*h - 3*w + 4 = -4*h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let y(k) = k**3 - 9*k**2 + k - 9. Let a be y(9). Suppose a = 3*g + 6, 5*g - 64 - 18 = -2*x. List the prime factors of x.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 6, -6, 4 in descending order.\nAnswer: 6, 4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose z + 23159 - 6932 = 3*c, 4*c - 21638 = z. Calculate the highest common divisor of c and 21.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((i\/(i**(-4\/3)*i)*i*i)\/i**(-3\/2))\/((i*i**(-3\/7))\/(i\/i**(-8\/3))) assuming i is positive.\nAnswer: i**(111\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*j**2 - 2*j**3 - 3*j**2)*(4375*j - 147949 + 295877 - 147928).\nAnswer: -8750*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let f(p) = 2*p**2. Let t(c) = c**2 + 11*c - 10. Let x be t(-12). Suppose -o + 9 = y, -2*o - 3*o = -2*y - 17. Let s(v) = v - x*v + o*v - 3*v. Give s(f(i)).\nAnswer: 2*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-380*l**3 + l**2 - 625*l**3 - 500*l**3 - l**2)*(-l**2 + l**2 - 2*l**2).\nAnswer: 3010*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let g(w) = -3*w**3 - 3*w**3 + 5*w**3 + 0*w + 4 + 7*w - 3*w**2. Let k be g(-5). Suppose 20 = 3*b - k. Solve b = -3*q + 4 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5\/6 - 11\/18?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify i**(-5)\/i**(2\/7)*i**(4\/11)\/i**(1\/7) assuming i is positive.\nAnswer: i**(-390\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when -7 + 8 + (-2 - -79) is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(k) = k + 2. Let l(j) = -8*j - 6. Give l(p) + v(p).\nAnswer: -7*p - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Express 1 - 349*o**3 + 3*o + 94*o**3 + 96*o**3 + 87*o**3 + 98*o**3 as k + n*o**3 + z*o**2 + d*o and give n.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 176*p = 343 + 1065 for p.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -11 + 16. Let n be (4 - -1)*(-3)\/q. Sort -5, 2, n in descending order.\nAnswer: 2, n, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -81 + 350 - 86 + 4074*l - 106 - 76 to the form p + s*l and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*m**3\/3 - 9490*m**2 - 33815202*m - 303568614.\nAnswer: -2*(m + 9)*(m + 7113)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-25*n + 59*n + 90*n + 2 - 3*n - 2 + (0*n + n - 2*n)*(-3 + 0 + 4))*(-1 + 1 + 2*n).\nAnswer: 240*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 12\/42 + 14195\/(-952) + 14?\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 40.64 and 26965.\nAnswer: 1095857.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a*a**(6\/11)\/a*a*a)**(-1\/27) assuming a is positive.\nAnswer: a**(-28\/297)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: -13fe5a (base 16) to base 6\nAnswer: -44030110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-8)\/6*3276\/(-112). What is the greatest common factor of b and 455?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-94 - -26) + (2 - (-8 - -5)) + -4 + -5.\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -107\/54 and 127\/732?\nAnswer: 6588","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let h(r) = -r**2 - 7*r - 6. Let t be h(-6). Suppose -30 = -5*w - t*w. Suppose 2*n - w = -2*n + 2*y, y = -2*n + 5. Solve -2 = -n*v - 2*p, 4*p = 2 + 2 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 594 and 16.\nAnswer: 4752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-2)\/24*8\/6. Let u = -1160.9 + 1161. Let s be (-2)\/12 - (884\/456 - 2). Which is the smallest value?  (a) u  (b) f  (c) 0.5  (d) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*c + 5*x = -40, -3*c + 4*x + 10 + 20 = 0. Solve 5*g + c = -2*u, g - 25 = 5*u - 2*g for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 4\/(2 + 2895\/(-1448)). Suppose -3*s - 2*z + 12 = 0, 17 = s + 2*z + 9. Find the third derivative of i*d**s + 13*d**5 - 5812*d**2 + d**5 wrt d.\nAnswer: 840*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(l) be the third derivative of 1\/120*l**6 + 0*l - l**2 - 5\/6*l**3 - 1\/20*l**5 - 1\/6*l**4 + 0. Give c(4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 427.7 + -428. Let h(a) = -a**3 + 8*a**2 + a - 1. Let z be h(8). Let s = z + -20\/3. Sort 0.7, -5, c, s in ascending order.\nAnswer: -5, c, s, 0.7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 327 is divided by 232?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 11362400 to the power of 1\/2, to the nearest integer?\nAnswer: 3371","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*d + 8*d + 0*d)*(-14*d + 23*d - 15*d - 7).\nAnswer: -36*d**2 - 42*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2 + -0.911.\nAnswer: 1.089","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -1 + 6 + -21 + 38 - (6 - -1).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -106807 divided by -127.\nAnswer: 841","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 37483067.\nAnswer: 19, 283, 6971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Factor -v**3\/3 + 8*v**2.\nAnswer: -v**2*(v - 24)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 80 in 0.3, 0.08, 1\/7, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let i(l) be the first derivative of -7\/2*l**2 + 0*l**3 + 1 + 1\/4*l**4 + 0*l. Find the second derivative of i(o) wrt o.\nAnswer: 6*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 290179 is divided by 57884?\nAnswer: 759","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 6 and 105?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -1562  (b) -1\/3  (c) -12  (d) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 x when two letters picked without replacement from xllxxxxxxxxxxlxllll?\nAnswer: 22\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, -15, 1, -21 in descending order.\nAnswer: 2, 1, -15, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 15 and 0.12.\nAnswer: 1.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Does 10 divide 510?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*r - 3*r = 0. Let x be 3 - (-3 - r - -6). Solve x = -0*z + 5*z + 5 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -1.5 + 2.7. Let t = -0.2 + q. Let k = -0.6 - -0.1. Which is the closest to t?  (a) 2\/7  (b) 4\/3  (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve y + 2*n = -4*y - 50 - 18 - 20, 551*y + 2170 = n for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*q - 41*d + 38*d - 6, 8 = 3*q - 2*d. Let n(f) = -2*f + f**3 - 4 - 2*f**2 + 2 + 8. Calculate the smallest common multiple of n(4) and q.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6 = 4*x - 2*i, -x + 5*i = -0*i - 6. Let a be (1 + x)*(-3 + 5). Let d = 81 - 81. Solve -a*q = 5*j + 3, d = -3*j - 0*q - 5*q - 7 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 1428 and 2550.\nAnswer: 35700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let x(h) = -h + 2. Let b be x(-2). Let a(o) = -o + 3. Let y(g) = -1. Determine b*y(p) + a(p).\nAnswer: -p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let t(w) be the first derivative of -w**4\/22 - 4*w**3\/33 + w**2\/11 + 4*w\/11 + 35. Factor t(m).\nAnswer: -2*(m - 1)*(m + 1)*(m + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -42 minus 2762176?\nAnswer: -2762218","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: -7 divided by 24123540\nAnswer: -1\/3446220","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*a - 3*n + 17 = 0, a - n = -0*a + 16. Let w = -12 + a. Let g be (w + 0 + -5)*-1. Solve -g*b = -0*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 330323 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 439833712*z**3 + 173*z**2 + 852527*z wrt z.\nAnswer: 2639002272","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 h and 3 z when four letters picked without replacement from {z: 4, h: 2}.\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Put 36, -5, -1, -2, 0 in increasing order.\nAnswer: -5, -2, -1, 0, 36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -410*v - 1206 wrt v.\nAnswer: -410","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 100 + 1100102?\nAnswer: 1100202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((3*c**2 + c**2 - 2*c**2)*(-1 + 5 - 3) - 122 + 11*c**2 + 122)*(-86*c - 1192 + 1192).\nAnswer: -1118*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -28*a = -84*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -330235 - -6?\nAnswer: -330227","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, 2, -1\/3, -0.194.\nAnswer: -2, -1\/3, -0.194, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let u(z) = z**3 + 4*z**2 - 2*z - 3. Let i be u(-5). Let p be (-2)\/(-9) - (-4)\/i. Suppose p*a + 36 = 3*a. What is the greatest common divisor of a and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*h + 2*p + 362, -h - 5*p = 2*h - 551. Let n = h - 62. List the prime factors of ((-6)\/5)\/((-16)\/n).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(k) = 10*k**2 + 40*k + 209. What are the prime factors of j(-56)?\nAnswer: 139, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*q = -5*w - 0*w - 1, 0 = 4*w - 2*q - 8. Suppose -4 = -0*r - 2*r. Does 2 divide w\/(r\/(30\/3))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the sixth biggest value?  (a) -1\/143  (b) 1  (c) -3\/4  (d) 0.9  (e) -0.4  (f) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.4 in -2.6, -6, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -16*f + 42 = -2*f. Let n(q) be the second derivative of -q**2 + 0*q**f + 1\/6*q**4 + 0 - q. Determine k, given that n(k) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0105 plus 18126.381?\nAnswer: 18126.3705","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -583.4 + 583.4. Let l = -13\/45 + -1\/9. What is the closest to d in l, -2\/3, -4?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put together 249697467 and 27378.\nAnswer: 249724845","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth biggest value in 5, 0.1, -147, 0.2, 1290, -2, 0.3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let u(z) = z**2 + 14*z + 33. Let m be u(-10). Let w be (-6 - m) + -2 + 6. Suppose -w*r = 5, a - 7 = -5*r + 8*r. Which is smaller: 11\/3 or a?\nAnswer: 11\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -2 by -61569113.\nAnswer: 2\/61569113","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 18\/37, 1, -392\/19?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.198679723 to 2 dps.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*y + 19*t = -0*y + 22*t - 21, 31 = 2*y + 3*t for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(63)*1)\/sqrt(7) + (sqrt(72) + sqrt(72)*1)\/sqrt(8))*-3)\/(3*((sqrt(21) + sqrt(21) + sqrt(189))\/sqrt(7) - -5*((sqrt(12) - sqrt(3)) + sqrt(3)))).\nAnswer: -sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -17.50057 - -17.5. Round y to four dps.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -14708151 - 4?\nAnswer: -14708155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 7 - 8 - -5 - 2\/2. Suppose 8*j - b - 61 = 0. Solve -5*t = 2*c + j, 2*c - 2*t + 6*t + 8 = 0 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let m(b) = -2 + 4*b**2 + 4 - 1 + 5 + 8*b. Let f be m(-6). What is f rounded to the nearest 10?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {f: 1, i: 1, c: 1, t: 2, o: 4}. What is prob of picking 2 t?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1523?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Does 22 divide 572319981?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let p(o) = -39108*o - 8212689. Determine p(-210).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Add 12 and 17.8.\nAnswer: 29.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 255076.\nAnswer: 2, 43, 1483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 206, 813, 1830, 3263, 5118, 7401, 10118?\n\"Answer: d**3 + 199*d**2 + 3*d + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 57*d - 62*d + 8361 = -24169. What are the prime factors of d?\nAnswer: 2, 3253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -o**2\/4 - 13*o\/4 - 11\/2.\nAnswer: -(o + 2)*(o + 11)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -y - 3*y + 24 = 4*u, -y = -5 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 5 + 15145135?\nAnswer: 15145143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"}
{"text":"Question: What is 8833172 to the power of 1\/2, to the nearest integer?\nAnswer: 2972","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*y - u + 31 - 8 = 0, -3*y - 4*u = -24. Suppose 17 - 57 = -y*j. Suppose o = -3*d + j, 2*d + 2*o = d. What is the remainder when 7 is divided by d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(x) = 5*x - 4. Let g(k) be the second derivative of k**3\/6 - k**2\/2 + 39*k. Suppose 5*p - 21 = -5*z - 51, -4*z = 20. Calculate p*y(c) + 3*g(c).\nAnswer: -2*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 7569343 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {p: 1, j: 2, y: 1, t: 2, f: 1, d: 1}. Give prob of picking 1 j, 1 f, and 1 y.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*f + 20 = -5*m + 2*f, -4*m - 3*f - 5 = 0. Put 0, m, 46 in descending order.\nAnswer: 46, 0, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 212042458 to the nearest integer?\nAnswer: 596","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 48742*i - 24415*i - 24331*i.\nAnswer: -4*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -2675\/4 + 655. Let o = 14 + h. Suppose -n - 2*z = 2, n + 5*z + 5 = -n. Which is bigger: o or n?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 3\/18 + -1 + (-5050)\/(-12)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 156168?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 182 is divided by 20?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 2\/15  (b) 1  (c) -52.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (q**2 + 4*q**2 - 4*q**2)*(162*q**2 - 722*q + 722*q).\nAnswer: 162*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 2\/3 - (-14)\/6. Suppose -4*a = -2*s - 2*a + 4, t*s - 2 = 2*a. Let m = 29 + -27. Sort m, 0, s in descending order.\nAnswer: m, 0, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -o = d - 2 + 8, 0 = 5*d - 5*o for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let y(n) = 14*n - 10. Let z be y(2). Suppose z = -9*i + 10*i. Suppose -5*x - 802 = -5*o + 13, -4*x - 328 = -2*o. What is the greatest common factor of o and i?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 35\/47052 and 13\/1269?\nAnswer: 6634332","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*g = u - 2*u + 4, 5*u - 2*g = 56. Let o(c) = -c**3 + 9*c**2 + 11*c - 4. Let b be o(u). Solve -k + b = -4*k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 296441, 296389, 296337, 296285, 296233?\n\"Answer: -52*b + 296493","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 1331810 to the power of 1\/2, to the nearest integer?\nAnswer: 1154","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 36 = 2*w + 2*l + 32, -5*l = -5*w + 40 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 226956196 to the nearest integer?\nAnswer: 15065","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2?  (a) 1\/17  (b) 3  (c) -1\/5  (d) -0.09\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let y(a) = 18*a**2 - 2*a. Let x be y(1). Let k = -10 + x. What is the greatest common divisor of k and 66?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*l + 2*h + 1943 = 0, -3*l - 817 = 3*h + 347. Let w = l - -3109\/8. Which is the nearest to 2\/5?  (a) w  (b) -1\/7  (c) -0.2  (d) 9\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 17657 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let g(q) = q**2 - 11*q + 55. Calculate g(10).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 42483161 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Factor r**4\/4 - 241*r**3\/2 + 1068*r**2 - 3551*r\/2 + 3311\/4.\nAnswer: (r - 473)*(r - 7)*(r - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 - 2 + u**2)*(-2*u + 1 + 0 + 2)*(0 - 2 + 4 + (-1 + 7 + 1)*(-6 + 4 + 1)).\nAnswer: 10*u**3 - 15*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-34916)\/7 - (-1 + (-1)\/1). Let b = -3451 - p. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 0, -17, -34, -51, -68, -85?\nAnswer: -102","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1\/5?  (a) 1  (b) -3  (c) -1  (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -g + 1 = o, 3*g - 1 = -3*o - 2*o for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let p(u) = -8*u**2 + 1726*u + 22*u**2 - 170 - 1718*u + 62 - u**3. Let v = 12 - -40. Calculate the smallest common multiple of p(14) and v.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v**(-1)*v**(3\/8))\/(v**0*v**5)*(((v\/((v**(-1\/4)*v)\/v))\/v)\/(v*v**(-2\/3)))\/(v**(-1\/2))**29 assuming v is positive.\nAnswer: v**(211\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let s(b) = 148*b - 2796. What is the least common multiple of (-6)\/1*(-2)\/2 and s(19)?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -23, -81, -211, -443, -807, -1333, -2051?\nAnswer: -2991","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 474093 is divided by 928?\nAnswer: 813","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 327913 and 2?\nAnswer: 655826","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 136, 137, 138, 139, 140, 141?\n\"Answer: l + 135","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4078*l + 1265*l - 5607 = 387*l - 651*l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*p - 4*s - 48 = -0, 0 = -4*p - s + 83. Suppose 0 = -4*b - b + p. Solve 0 = 4*j + 16 + b for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 87\/14 and 1196\/4080 - 1*(-5)\/(-25).\nAnswer: 1428","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1 + (1 + sqrt(13) - sqrt(13)) - (sqrt(117) + 1))**2.\nAnswer: -6*sqrt(13) + 118","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence jmw when three letters picked without replacement from {w: 4, j: 2, m: 1}?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 47033\/33 + -1425. Find the common denominator of d and 130\/4*(-1)\/3.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 325637 is divided by 14155.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is (15\/(-40))\/(6\/(-8))*(-4)\/(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Divide 12 by 2153.\nAnswer: 12\/2153","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 2381360 and 35920.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let w(s) = 2*s**3 - 46*s**2 + 164*s + 241. Calculate w(18).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -3 + 1 + 3*s**3 + 10 - 8*s**3 + 3*s**2 to y + n*s**3 + k*s + g*s**2 and give g.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -2, 6, -3, -0.06?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 7*m**3*p**3 - 78*m**3 + 30159*m*p - 17782*m - 5*p wrt p.\nAnswer: 21*m**3*p**2 + 30159*m - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose m - 3*v = 5, -3*m = -m + v - 3. Put -2, m, 8 in decreasing order.\nAnswer: 8, m, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:27 PM and 11:30 PM?\nAnswer: 663","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0 + 434*o**3 - 439*o**3 + 1 - o**3 + 3 - 3 + (-5*o**2 - 3*o**2 + 5*o**2)*(-2*o + 1 - 1) + 2*o**3 - 3*o**3 - 2*o**3.\nAnswer: -3*o**3 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 6062311 to the power of 1\/2, to the nearest integer?\nAnswer: 2462","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 259659 a multiple of 391?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let u(z) = -z**2 + 12*z - 9. Let k be u(11). Suppose -k*d = d. Suppose -4*l + d*l = -65200000. What is l rounded to the nearest 1000000?\nAnswer: 16000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -w - 52 + w + 54 - 2*w**3 to q*w**3 + g*w**2 + j*w + u and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -17726915*k**2 - 36186910*k wrt k.\nAnswer: -35453830","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*n**2 - 71949708*n = 0 for n.\nAnswer: -35974854, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q**(6\/7)\/q*q**(-1))**(-9)*(q\/(q*q**(-1\/3)*q*q))**(5\/3)*((q\/q**6)\/q*q)\/q**5 assuming q is positive.\nAnswer: q**(-157\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*q + 1 = -0*v - 3*v, 4*v = -2*q - 10 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is fourty-four fifths of a day in minutes?\nAnswer: 12672","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o(v) = v**2 - 14*v + 35. Let n be o(12). Solve -n*g = -13*g - 6 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*l + 8416 + 82 = 0. Let f = 1784 + l. Suppose 0 = o - 3*w - 91, 4*o + 5*w = -155 + f. What is the units digit of o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-7*b**4 - b**4 + 0*b**4)*(8*b - 2*b - 2*b) + 2*b**5 - 2*b**5 + 2*b**5.\nAnswer: -30*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 4396862453 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 12648 a multiple of 51?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 289 and 323?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (0*o**2 - 2*o**2 + o**2)*(1 + 120*o + 302*o + 6*o) to the form y*o**3 + z*o + r*o**2 + b and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -9*n - 6*n + n.\nAnswer: -14*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: 3*14\/3 - (-305 - (-706398)\/2224)\nAnswer: 11\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:22 AM and 12:05 PM?\nAnswer: 223","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Express 368*t**2 + 174*t**2 - 248*t**2 + 812*t**2 - 23*t**2 as b + x*t + p*t**2 and give p.\nAnswer: 1083","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 153 - 130. Suppose 32*y - 9909 = m*y. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 0\/(4\/((-68)\/(-17))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:31 PM and 2:21 PM?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w**(-8\/3))**(1\/9) assuming w is positive.\nAnswer: w**(-8\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 694846 and 48392.\nAnswer: 526","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*m - 2 = 5*x, -m - 107*x - 1 = -105*x for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is -111 (base 3) in base 14?\nAnswer: -d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: 34184 divided by 34184\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 2668077 a multiple of 45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let r(m) be the first derivative of 17 + m - m**2 + 38\/3*m**3. What is r(1)?\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(b) = b**2 + 3*b - 2. Let v be o(-4). Let l(n) = -n**v - 2*n**2 - 2*n**2 + 8*n**2. Let j(i) = -39*i. Determine j(l(d)).\nAnswer: -117*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 382703 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -2 + 4. Let d = 2469 - 2463. Solve -2*j + m = -d for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 3155, 21, -1\/2304?\nAnswer: 3155","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 48 + (20 - 75) + (0 - -13)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Divide -212330 by 2.\nAnswer: -106165","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(187) + (sqrt(187) - (sqrt(187) + -3*sqrt(187)*4)) + sqrt(187) - sqrt(187))*1)\/(sqrt(11)*-1*-4 - (sqrt(11) + (sqrt(1331)*-2 - sqrt(1331)))).\nAnswer: 13*sqrt(17)\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -105 in 4\/43, 0.5, 4?\nAnswer: 4\/43","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 117\/((-702)\/(-18812)) - (-2)\/3 and 192.\nAnswer: 9408","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 366.293137 - 366.3. Round q to 3 dps.\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millennia are there in 0.2968486 years?\nAnswer: 0.0002968486","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 2664823 > 2664486?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v**(-1)*v**(-5)\/v*(v**(-1))**19)\/((v\/v**0*v)**(-6\/11))**(13\/7) assuming v is positive.\nAnswer: v**(-1846\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 51852518 a multiple of 362?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 106*k + 65 = 41*k. Let q = 3 - -2. Sort -3, q, k in descending order.\nAnswer: q, k, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2277 (base 9) to base 16.\nAnswer: 69a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -20 (base 6) in base 9?\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-11 + 8 - 8 + (-2 + 2 - 1)*(-2 + 1 - 1))*(-6*s**5 - 72*s + 4*s**5 + 73*s).\nAnswer: 18*s**5 - 9*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 54*v - 41*v - 34*v.\nAnswer: -21*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Are -10539424 and 0 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 4.4 or -387\/2?\nAnswer: 4.4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-20)\/24)\/((2565\/(-216))\/19).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert 15c1 (base 14) to base 3.\nAnswer: 12100012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, -104, -0.19 in ascending order.\nAnswer: -104, -4, -0.19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let x(r) = -r**3 - 35*r**2 + 5*r - 17. Let d be x(-11). Let u be (-7 - d\/(-136)) + 4\/(-34). Suppose -4*i = 40 + 72. Which is greater: i or u?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 829118309 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 246697891 to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 0, 3, 77, 2?\nAnswer: 77","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let m(a) = -a + 3. Let l be m(1). Suppose -l*u + 4 = -0*u. Solve u*n - 12 = -2 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 1454 + -1450. Factor 0*v - 4\/11*v**2 + 0 + 10\/11*v**3 - 8\/11*v**h + 2\/11*v**5.\nAnswer: 2*v**2*(v - 2)*(v - 1)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are -17 and 3 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1\/5?  (a) 9  (b) 0.2  (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -7*s + 12*s - 60. Calculate the remainder when 46 is divided by s.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 9 and 15831?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Divide -2252 by 1126.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 199 = 2*a - 2121. What is a rounded to the nearest 100?\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1583 is divided by 33?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let x(c) = -2*c + 1. Let h(t) = t - 1. Let k be (2\/(-3))\/((-10)\/60). Suppose -k*y + 7 = 3. Determine y*h(u) + x(u).\nAnswer: -u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 3603.3 rounded to the nearest 1000?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 97 and 9118.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 765252 and 29.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 1100000001 (base 2) in base 8?\nAnswer: 1401","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -58 divided by -281330?\nAnswer: 29\/140665","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Find y such that y**2 - y = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is (6 - 4)\/(40\/25640) a multiple of 77?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 439 minutes after 5:37 AM?\nAnswer: 12:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 141360*j**3 - 715*j**2 - 1169160*j + 38 wrt j?\nAnswer: 848160*j - 1430","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ezr when three letters picked without replacement from zrrtrrterntt.\nAnswer: 1\/264","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let p(g) = 7*g**3 - 9*g**2. Let z(t) = -13*t**3 + 19*t**2. Let o(q) = 5*p(q) + 2*z(q). Find the third derivative of o(u) wrt u.\nAnswer: 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*i = 2*i. Suppose 5*r - 2*f - 10 = i, 0*r - r = 4*f - 24. Suppose -r*a + 1176 = -j - 1050, -4*j + 2793 = 5*a. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.1 and 7254?\nAnswer: -725.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -116*u + 7274 = -248*u + 938 for u.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 100194 to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 4*m*y + 20*m + 583*y wrt m?\nAnswer: 4*y + 20","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: (9\/6)\/(1\/((-10)\/3))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(l) be the third derivative of 17*l**4\/24 - l**3\/6 + 3*l**2. Let p be o(-1). Let k = p + 58. Solve 3*s + 5*y = -k, -s + 0*s - 15 = 2*y for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 2334, 3569, 5628, 8511, 12218?\n\"Answer: 412*l**2 - l + 1923","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 73650 is divided by 302?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let j(k) = -k**2 + 5*k + 7. Let c be j(6). Suppose -5 - c = -3*f. Solve x = 4*h + 6*x + 40, 0 = 3*h - f*x + 7 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -13063916*d**3 - 13775342 wrt d.\nAnswer: -39191748*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -6b8a3 + -9?\nAnswer: -6b8ac","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: 0.5 - 3178\nAnswer: -3177.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Does 3 divide 1781033?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6 = -4*l - 254. Let w = -36 - l. Let f(h) = 2*h**2 - 4*h - 2. What is the remainder when w is divided by f(4)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*f - 7 + 3, -2*f - 7 = o. Sort o, 1, 3 in ascending order.\nAnswer: o, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-1)\/(-1) + 1\/1. Suppose -5*n - 3*l = -19, 11 = n + 3*l - 0. Suppose u*c - n = -3*x + 16, -c = -4*x + 2. What is the units digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 10971071 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose m**4\/2 + 56*m**3 + 3277*m**2\/2 + 4425*m = 0. Calculate m.\nAnswer: -59, -50, -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 2\/(-7) - 2\/(-7). Suppose -3*k + 1981512 = -p*k. Let r = k - 310504. What is r rounded to the nearest 100000?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -145075 and -1.4.\nAnswer: 203105","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose s = 18*s - 34. What is the third derivative of -2*p**4 + 0*p**4 + 5*p**4 + 2 - 9*p**2 + 0*p**s + 20*p**3 wrt p?\nAnswer: 72*p + 120","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2 + 1*(-5*(sqrt(19) + -1) - sqrt(19))**2 + -3)*6.\nAnswer: -360*sqrt(19) + 4248","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.04381703702 rounded to four dps?\nAnswer: -0.0438","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 1\/(-3) + (-20)\/(-6). Suppose s + 4 = u*s. Calculate the highest common factor of s and 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose q + 2*o - 48 = 6*o, -q + 33 = -o. Suppose -10*h + 15*h - 20 = 0. Calculate the greatest common divisor of h and q.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"}
{"text":"Question: Suppose 267*g = 584*g - 283*g - 68. Solve -2*y + 28 = -5*a, g*a - 4 = 50*y - 53*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(k) = -1312 + 1207 + 745 + 2776 - 2*k**2 + 5*k + 3521. Is a(0) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose y = -y + 10. Let t = 0.233 - 5.233. What is the closest to 18\/11 in -2\/3, y, t?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(m) = -m**2 - 38*m - 188. Let d be g(-32). Suppose -d*n + 2*x = -14, -5*x + 12 = n - 8. Solve 0 = -9*t - n - 4 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:22 PM and 4:04 AM?\nAnswer: 342","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence skki when four letters picked without replacement from kkkkiis?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Does 269 divide 348760833?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 1488 and 65362880?\nAnswer: 196088640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -0.5, 1, -14, -2\/7, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-7776)\/(-720)*(-35)\/14.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 2949 to the power of 1\/2, to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let h(t) = -t**2 + 8*t - 2. Let r(i) = -563*i - 5070. Let x be r(-9). What is h(x)?\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12 = -3*q, -i - 3*i + 24 = -q. Suppose -i*n + 5 = -6*b + 5*b, b = 5. Is 2 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -1904 + 1904.001452. What is c rounded to 4 dps?\nAnswer: 0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(a) be the first derivative of 2*a**3\/3 - a**2\/2 - 15. What is the least common multiple of 9 and c(-1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:51 AM and 4:50 PM?\nAnswer: 419","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.731 * 0.38.\nAnswer: 0.27778","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 36873, 37151, 37413, 37659, 37889?\nAnswer: 38103","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1085*q + 4524 = 929*q for q.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {r: 2, f: 1, w: 2}. Give prob of sequence wr.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Round 7797.76558 to the nearest one thousand.\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let g(j) = 5*j - 1. Let x be 3\/(-4)*-4*7. Suppose 7*n + 42 = x. Let b(h) = -6*h + 2. Give n*g(p) - 2*b(p).\nAnswer: -3*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -95 + 84. What is the remainder when (-783)\/(-12) + p\/44 is divided by 18?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be -2 - (3100\/(-8))\/(-5). Let k = c + 78. Let z be 3\/(-18) + (-20)\/24. Which is smaller: z or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 15 divide 16802?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Put -1, 1, 614, -3, 116, 13 in descending order.\nAnswer: 614, 116, 13, 1, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -91\/22 and 397\/68 + 3\/6 + -5?\nAnswer: 748","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 45170?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is -2 >= -2105419?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3719669.\nAnswer: 3719669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 + 0 + 2*w)*(7*w - 23 + 23) + (16*w - 13*w**2 - 16*w)*(-4 - 1 + 4 + 2 + 1 - 5 - 2 + 3 + 0 + (2 - 4 + 3)*(-4 + 3 - 1) - 2 - 3 + 3 - 2 + 12 + 0).\nAnswer: -38*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*t - 437 = 787. What is the hundreds digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.05?  (a) -2.4  (b) -2  (c) -4  (d) 4  (e) -0.14\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 1084, 2171, 3234, 4243, 5168?\n\"Answer: -5*q**3 + 18*q**2 + 1068*q + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5*(-4 + (-3*(sqrt(99) + 2*sqrt(99)*3))\/(sqrt(18)\/(sqrt(10)\/sqrt(5))*4)).\nAnswer: 20 + 105*sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 126 a factor of 1828472?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 1\/3, -1, 0.8, -4, 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Convert 3828.179 micrometers to meters.\nAnswer: 0.003828179","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {x: 5, n: 14}. What is prob of sequence xnx?\nAnswer: 140\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -u + 0*m = 3*m + 2, -10 = 3*u + 5*m. Let p be (2\/4)\/(u\/(-10)). Sort p, 3, 5 in descending order.\nAnswer: 5, 3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence iy when two letters picked without replacement from zzyplpzlllzizpyyzyee?\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x**(2\/11)*x*x*(x\/(x*x\/(x*x**(-1\/6))))\/x)**(9\/13)*x**(1\/3)*x*(x*x**(-1)\/x)\/x*x*(x*x**2)\/x**5 assuming x is positive.\nAnswer: x**(-827\/858)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 10288?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many nanometers are there in 93630.87 meters?\nAnswer: 93630870000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from dzzdzdzddzzdzzdz. What is prob of sequence zdzz?\nAnswer: 21\/260","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -69.000000186 + 69. What is j rounded to 7 decimal places?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 0.17, 2, 0, -7755, -0.4, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 2185192 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: Expand ((-2*a**2 - 3 + 3)*(a + a - a) - 3*a**2 - 2*a**3 + 3*a**2 + 0*a**3 - 4*a**3 + 6*a**3)*(-3634*a - 2394 + 2394).\nAnswer: 7268*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let i(n) = -n**2 + n - 4. Suppose 0 = -106*t + 102*t. Let z be (-2 + t - 3)*12\/(-20). Determine i(z).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 173147, 1385213, 4675099, 11081711, 21643955, 37400737, 59390963, 88653539?\nAnswer: 126227371","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k(g) = 6*g - 2. Let w(z) = -7*z + 3. Let l(u) = 6*k(u) + 5*w(u). What is l(-4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 2735007, 5470011, 8205013, 10940013, 13675011?\nAnswer: 16410007","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Put 4, -4, 19, 96 in increasing order.\nAnswer: -4, 4, 19, 96","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is n in -4*n**2\/3 - 1388*n + 4168\/3 = 0?\nAnswer: -1042, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let f(u) = 2*u - 2. Let z be f(3). Suppose 5*b + 50 = q, b + z = q - 26. Let g(m) = -34*m + 5. Let s be g(-5). What is the greatest common divisor of s and q?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 453453*y**6 + y**2 + 21*y - 2540.\nAnswer: 54414360*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 13 + 164.0994503?\nAnswer: 177.0994503","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"}
{"text":"Question: Expand 2*h**5 - 4*h + 4*h + (2 - 2*h**3 - 2)*(249 - 18*h**2 - 249).\nAnswer: 38*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let j(w) = -2*w**3 + 0*w**2 + w**3 + w**2. Let m(c) = 16*c**4 - 15*c**3 - c**2. Let u = 327 + -330. Let s(y) = u*j(y) + m(y). Find q such that s(q) = 0.\nAnswer: -1\/4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 86414287963 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let j(s) = 13*s**2 - 545*s - 32. Let x be j(42). Solve 10 = -z + 76*t - 80*t, -3*t - x = 2*z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine m, given that 7*m**5\/4 - 219*m**4\/4 + 1623*m**3\/4 - 2189*m**2\/4 - 1515*m\/2 + 252 = 0.\nAnswer: -1, 2\/7, 3, 8, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1\/3?  (a) 4\/7  (b) -2\/1023  (c) -5  (d) -5\/1994  (e) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {v: 8, l: 5}. Give prob of picking 2 l.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let c(u) = -4*u - 7. Let n(m) = 107*m + 85. Let f(y) = -39*y - 30. Let z(r) = 8*f(r) + 3*n(r). What is -13*c(j) - 6*z(j)?\nAnswer: -2*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 202.3 + -202. Which is the second smallest value?  (a) -1  (b) x  (c) 3  (d) -15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 438.217 times -0.09?\nAnswer: -39.43953","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 70002 and 373344.\nAnswer: 1120032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: 35\/(-70)*8\/(-20)\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many centimeters are there in three tenths of a kilometer?\nAnswer: 30000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 2\/15 or 105?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Round -20596 to the nearest one hundred.\nAnswer: -20600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-29344)\/51352 - -1*(-75)\/(-21). Let -a + 1\/3*a**m - 2\/3*a**2 + 0 = 0. What is a?\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 16 divide 26208?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 461674039 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*p**4 - 1395*p**3 - 144375*p**2 - 6551545*p - 109567920.\nAnswer: -5*(p + 48)*(p + 77)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, -46, 3 in descending order.\nAnswer: 3, -4, -46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let w(l) = -l - 5. Let i(h) = 2*h + 11. What is -4*i(t) - 7*w(t)?\nAnswer: -t - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 555 and 47625845.\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3783299?\nAnswer: 13, 17, 19, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -100110100 + -11?\nAnswer: -100110111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 950402 is divided by 8193.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(95) + 6*(2*sqrt(95) - sqrt(95)))*5*-1)\/(((sqrt(400)*2)\/sqrt(8))\/(sqrt(360) - (sqrt(360) + sqrt(360) + sqrt(360) + 1*sqrt(360)))).\nAnswer: 315*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 695539 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0198974 to three decimal places.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -1273 + 2305. Suppose d = 10*m - 168. List the prime factors of m.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 552341 to the nearest integer?\nAnswer: 743","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let m(y) = 9*y**2 - 18*y + 20. Let k be m(5). Solve 0 = 50*c - 19*c + k for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence qqg when three letters picked without replacement from gqqgggggggggqgggggq.\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 349*c - 6765 = -234*c + 132*c for c.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (0 - 22) + 114 + -4 + -92.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express -2*c - c**3 + 2*c + (2*c**2 + 2 + 6*c + 2*c**2 - c)*(-c - 3*c + 2*c) in the form q*c + g*c**2 + z*c**3 + d and give z.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*j = -5*u - 1, -10*u + j - 9 = -7*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -7046*j - 1319*j - 2301*j.\nAnswer: -10666*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-16)\/(-6) - ((-64)\/12 + 6). Suppose m - 5*t = 21, i*m = -5*t - 9 + 36. Solve -4*j = -4*q - m, 27 = -4*q - 2*j + 11 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 372486 (base 10) to base 7.\nAnswer: 3110652","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*u + 55 = 13*u. Suppose -5 = u*y, -3*y = q - 6*y + 10937. What is q rounded to the nearest 1000?\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 41*r**4 + 524*r**2 - 104*r - 522*r**2 + 37*r**3 - 37*r**3 - 13*r**4 as u*r + s + p*r**4 + x*r**2 + z*r**3 and give u.\nAnswer: -104","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let j(n) = -658*n**3 - 70*n**2 + 5. Let h(s) = -987*s**3 - 98*s**2 + 8. Determine -5*h(d) + 7*j(d).\nAnswer: 329*d**3 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let q(s) = -20*s + 347. Calculate q(16).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -47279*t**2 + 5*t**3 + 47280*t**2 - 2*t**3 - t**3 + 6*t - 5 to the form l + d*t**2 + p*t + h*t**3 and give l.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let b(h) = 3*h - 15. Suppose -242*q + 171*q + 71 = 0. Let u(j) = j + 1. What is q*b(f) + 15*u(f)?\nAnswer: 18*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 382435 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let l(p) be the third derivative of -p**5\/60 - p**4\/24 + 2*p**3 + 2*p**2. Let h(v) = -5*v - 245. Let d be h(-49). What is l(d)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.011086 to 4 dps.\nAnswer: -0.0111","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -6\/12041 - 1095587\/288984. What is the common denominator of h and ((-8)\/(-480))\/((-2)\/668)?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -22*z**2 - 24637 + 24635 - 17*z**2 + 507*z + 12*z**5 wrt z?\nAnswer: 240*z**3 - 78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 37 - 0.0402942?\nAnswer: 36.9597058","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose y**2\/3 - 406485*y + 2438906\/3 = 0. What is y?\nAnswer: 2, 1219453","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(85) - sqrt(85)*-1*5 - sqrt(85)) + 3*(sqrt(85)*1 - sqrt(85)))\/((sqrt(320) - (sqrt(320)*2 + sqrt(320)))*5))**2.\nAnswer: 17\/256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -9 - -12. Suppose -m*d + 460 = 2*d. Suppose 5*i + 3*u - 745 = 0, -2*u + d = i - 57. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -6 (base 7) in base 9?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express (4 - 1 - 1)*(30*l - 10271*l**2 + 108*l - 137*l) + 2*l**2 + 0*l + l + l in the form c*l + b*l**2 + h and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 120\/(-14) - (52\/(-91) + -1 + 1)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 6\/37 + 1125\/592. Suppose 29 = w - 3*g - 2*g, g - 14 = -2*w. Calculate the common denominator of m and (-2)\/w + (-709)\/90.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -1342 + 4*z + 782 + 876 to the form x + c*z and give c.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Round 4.71376 to 2 decimal places.\nAnswer: 4.71","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 1665 and 4905.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 0 + 4. List the prime factors of j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 409 + -354. Let r = s + -53. Solve -f = -0 - r for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(z) = 3*z**2 + 10*z. Let a(b) = b**2 + b. Suppose -3*q + 5*q + 10 = 0. Let l(i) = q*a(i) + o(i). Find the second derivative of l(m) wrt m.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {u: 11, z: 1}. What is prob of sequence uu?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 12758 to the power of 1\/5, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*o - 3*o = 10. Suppose 4*x - 24 = 0, -1211*i - 21 = -1216*i + 4*x. Solve -3*v = 3*h - 2*h - 1, -i = h - o*v for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 3\/2 in -1\/6, -4, 11, 159, -5, -4\/5?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*k - 15 - 1 = -4*r, k + 8 = -4*r. Let p = -63477 + 63467. Sort p, k, 4 in ascending order.\nAnswer: p, k, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(r) = 10*r**2 - r + 18. What is the tens digit of s(4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 375*o**5 - 15450*o**4 + 18180*o**3 - 7224*o**2 + 960*o.\nAnswer: 3*o*(o - 40)*(5*o - 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -4 or -341\/87?\nAnswer: -341\/87","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 21 and 51.\nAnswer: 357","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 11\/2 of a decade in months?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in three eighths of a century?\nAnswer: 450","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1 or 3\/228654169?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let b(k) = -27 - k**2 - 8*k + 17 - 2*k. Let r be b(-6). Let a be ((-8)\/r)\/((-66)\/(-14) - 5). Solve -4*c + a = -6 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 95566357, 95566359, 95566361, 95566363?\n\"Answer: 2*h + 95566355","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*q = -2*q - 380. Suppose -r = -3*f + r + 50, 2*r - q = -4*f. Suppose -f = -m - m. What is the remainder when 25 is divided by m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 19 + 406. Let f = j - 295. What are the prime factors of f?\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -863187, -863185, -863183, -863181, -863179, -863177?\n\"Answer: 2*a - 863189","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d(m) = -5*m**3 - m**2 - 2*m + 5. Let j(g) = 5*g**3 + 3*g - 6. Let f(o) = -3*d(o) - 2*j(o). Let s(x) = -4*x**3 - 2*x**2 + 2. Calculate 3*f(r) + 4*s(r).\nAnswer: -r**3 + r**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 0.7 + -1. Let w = 212 - 210. Which is the biggest value?  (a) w  (b) t  (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 2 + -13 + 3 + 8.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -6910 + 6910.13. Which is the fourth smallest value?  (a) -5  (b) y  (c) 2  (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -3.2 + 4. Let m = n + -0.7999999. Round m to 6 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -10*w + 1842 + 808. What is the hundreds digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 2\/15  (b) 5  (c) 6.8  (d) -0.2  (e) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from tmmqqqqt. What is prob of picking 3 q?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*b + 3*b = -1. Let z be b\/(-1 - -5*4\/16). Let l be ((-8)\/(-3))\/4*3. Sort z, -1\/4, l in descending order.\nAnswer: z, l, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 11 + -7. Suppose -d + g = -3, g = 2*d - 6 - 4. Let c(i) = -7*i + d*i - f*i**2. Let t(b) = -b**2. Calculate t(c(y)).\nAnswer: -16*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: c23541 (base 13) to base 16\nAnswer: 44f8bf","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let -l**3\/8 - 827*l**2 + 49845*l\/2 = 0. What is l?\nAnswer: -6646, 0, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 m when three letters picked without replacement from fmmfmfmmmmmmmm.\nAnswer: 165\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -781\/5 - -157. Suppose -27*x = -51*x. Sort x, 0.2, g in descending order.\nAnswer: g, 0.2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 3854568 and 8.\nAnswer: 3854568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let b(x) be the second derivative of x**5\/10 + x**4\/12 - x**3\/2 - x**2 - 312*x. Let v(d) = d**3 + 5*d**2 - d - 7. Let p be v(-5). Determine b(p).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 2*3\/(-9)*-3. Suppose -z*x - 4*b + 4 = 0, b = 3*x - 3*b - 6. Suppose 3*s - 3 = 6. Solve s*k - x*d + 20 = -k, 0 = -2*d for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 7098615 is divided by 820?\nAnswer: 695","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 27363 and 5397.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 81398 or 569787\/7?\nAnswer: 81398","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 96020 to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -49, 276, 815, 1562, 2511, 3656, 4991, 6510?\n\"Answer: -m**3 + 113*m**2 - 7*m - 154","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 16.862 + 0.138. Let a = 16.925 - u. Round a to two decimal places.\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1 in -0.3, 9\/2, 29, 4\/39, -3?\nAnswer: 4\/39","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let g(i) = 15*i - 7. Let q be g(3). Let r = 211 - q. What are the prime factors of r?\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: 9cb703 (base 15) to base 12\nAnswer: 2609056","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t(m) = -2*m - 12. Let k be t(-8). Let z(f) be the third derivative of 0*f**3 + 0*f + 1\/72*f**k - 2*f**2 - 1\/180*f**5 + 0. Solve z(c) = 0 for c.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -1187 - -3611\/3. Do 18 and i have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7*k + 3*k - 2*x = -0*k - x, -2*k + 4*k + 4*k - 9*x = -6*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 79\/3209776 and 79\/125684?\nAnswer: 41727088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 36 + -5b13?\nAnswer: -5a99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*r + 2*x - 8 = 0, -4 = 4*r - 2*x + 6 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let d(n) = -2*n**2. Let u(s) = 4168 + 4167 - 12500 + 4165 - 1994*s. Determine d(u(t)).\nAnswer: -7952072*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Determine m so that m**4 - 1627*m**3 + 48017*m**2 - 170957*m + 124566 = 0.\nAnswer: 1, 3, 26, 1597","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*x + 14 = 8, x = -4*f + 5 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 12573?\nAnswer: 3, 11, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in three fifths of a millennium?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a(o) = o**3 - 135*o**2 - 149*o + 1892. Calculate a(136).\nAnswer: 124","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 4.374377 minutes in nanoseconds?\nAnswer: 262462620000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-6)\/27)\/((-13)\/13)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 59 minutes after 7:27 PM?\nAnswer: 8:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand (v**2 + 3*v**2 - 3*v**2)*(-2*v**3 - 2*v**3 + 2*v**3) + (2*v**4 + 1 - 1)*(5 - 5 - v) + (-12 + 12 - 6*v**4)*(79 - 21*v - 79).\nAnswer: 122*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4*(sqrt(77)\/sqrt(11) + -4 + 1*(sqrt(7) + sqrt(7) + -3*sqrt(7)) + -5))**2.\nAnswer: 1296","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 221053 is divided by 2696?\nAnswer: 2677","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 7004?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 8\/28 + (-340)\/(-280). Let l = -53.1 - -53.2. Which is the nearest to l?  (a) -6  (b) 0.2  (c) -1\/5  (d) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 18 divide 2035?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-12)\/(-9)*(-9)\/6?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -41*g - 17248 = -17740 for g.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is one quarter of a meter in centimeters?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -2\/7  (b) 73\/141  (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3 + 4 + 6 - ((0 - 3) + 9).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x(q) = q**3 + 13*q**2 - 15*q - 8. Let z be x(-12). Round z to the nearest ten.\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 135 + 140 - 5*k - 275 + 0*k.\nAnswer: -5*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -50875*g**2 - 270?\nAnswer: -101750*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let b(i) = 148*i**2. Let h(g) be the third derivative of -g**5\/20 - 2889*g**2. What is b(h(l))?\nAnswer: 1332*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {j: 14, h: 4}. What is prob of picking 2 j and 1 h?\nAnswer: 91\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 73864 and 3304?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 34 + -35. Let i = -1657.6 - -1658. What is the smallest value in 9, i, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 11 (base 5) to base 13\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -4*j*v*y**3 - 998*j*y**3 - 17*j*y**2 - 2737*v*y**3 + 3*v with respect to j.\nAnswer: -4*v*y**3 - 998*y**3 - 17*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 22 + 2?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: 14 - ((-1 - -19) + -11)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*t - 1 + 33 = -4*m, 4*t = -5*m - 36 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the sixth biggest value?  (a) -2\/15  (b) -3\/5  (c) 0.5  (d) -1\/178  (e) 1  (f) -2\/43\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: -2 - (-2 + -3 + 2)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 3933526837 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 3 + -4. Let r = 3 - q. Let z = 6 - r. Solve -3*u = -z*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is twenty-five quarters of a tonne in kilograms?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the seventh smallest value?  (a) -1  (b) 1.3  (c) -0.0401  (d) -0.4  (e) 4  (f) -6  (g) -3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -2790 + 2798. Suppose -y + 2*h - 2 = y, -2*y + 5*h = 8. Which is the third biggest value?  (a) p  (b) y  (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 430649 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 25.88?  (a) 1\/17  (b) 4  (c) -297\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 77120137 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is eleven tenths of a litre in millilitres?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -u + 3*j + 20804, 5*u - 102434 - 1637 = -2*j. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -55.8663 to two decimal places.\nAnswer: -55.87","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -3*h - 4*v + 45, h + 36*v - 31 + 16 = 0 for h.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1974 is divided by 533.\nAnswer: 375","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 5416\/19005 - -2\/2715. What is the fifth biggest value in -2, -4, 8, -3, h?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -40 + 24. Let i = a + 27. Let f = -15 - -57. Calculate the remainder when f is divided by i.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 0.9371 from 4.\nAnswer: 3.0629","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 10826.985 - 10827. Which is the third biggest value?  (a) s  (b) -0.5  (c) -0.3  (d) -1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 11704 and 285?\nAnswer: 175560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 19004862 to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*j**3\/3 - 57040*j**2 - 684416*j\/3.\nAnswer: -4*j*(j + 4)*(j + 42776)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"}
{"text":"Question: What is 2983131243 plus 3?\nAnswer: 2983131246","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let y(q) = 334*q + 8. Let a be y(3). Round a to the nearest one hundred.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence tzz when three letters picked without replacement from {s: 2, o: 1, t: 4, z: 2, e: 1, n: 2}?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 13*m + 134526 = 335194. List the prime factors of m.\nAnswer: 2, 17, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -11 - -10.7. Let f = -0.9 - -4.9. Let g = -1067\/1910 + 56\/955. Which is the third biggest value?  (a) g  (b) -6  (c) f  (d) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of (8\/(-261))\/(8\/(-52) - (-158)\/(-156)) and -85\/116.\nAnswer: 2436","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4547, -1, 1\/5, 1\/7, -5, 2\/15 in descending order.\nAnswer: 4547, 1\/5, 1\/7, 2\/15, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is -1.654 rounded to one decimal place?\nAnswer: -1.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 176053499 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 40 a factor of 1515257?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: 1665.1*0.1042\nAnswer: 173.50342","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-1)\/(-4) + 46\/8. Suppose t*j + 0*j + 6 = 0. What is the units digit of (-2 - j)*(-8)\/1?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*d + 4*r - 7217, -8*d + 6*d = 4*r - 4806. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 6\/11  (b) 1189  (c) 61  (d) 0.1  (e) -2\/9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 80.0077 - 80. Round p to three decimal places.\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: 883112 (base 9) to base 12\nAnswer: 21509b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 0.17  (b) -376.55  (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 233 a factor of 796860?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*g - 2*l = l + 21, -4*g = -4*l - 12. Suppose 25 = 2*u + 5*s, 0 = u + 3*u + 3*s - 29. Suppose -10 - 65 = -u*o. Solve g*f = f + o for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -153500*u**3 - 137848 wrt u?\nAnswer: -460500*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.2 in 0.2, -2, -5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let h(c) = 833*c - 4243. Determine h(5).\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.4414 times -0.2771?\nAnswer: -0.12231194","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (41 + 8294\/(-203))*(-7)\/(-5). Find o such that 2 - u*o**2 - 9\/5*o = 0.\nAnswer: -10, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 - 22 - 10)*(101 - 196 + 103)*(5 - 2 - 1)*(2*s**3 - 5*s**3 + 2*s**3) + 3*s**3 - 1 + 2*s**2 - 5*s**3 - 3*s**2.\nAnswer: 494*s**3 - s**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = f + 1. Let r be (2 + f)\/((-6)\/(-12)). Suppose -4*p + 2*o + 67 = -o, 3*o + 3 = 0. Calculate the highest common factor of p and r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*h**4 - 18811*h**3 + 3066729*h**2 - 127171521*h + 42050456 = 0.\nAnswer: 1\/3, 83, 6104","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 14280 = -576*h + 1032 for h.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7*g = -5*n - 28, -g = -305*n + 309*n + 4 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -45, -83, -121, -159, -197?\nAnswer: -235","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (5369366\/16)\/37 - (-2)\/16. What is the greatest common divisor of y and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 771309 is divided by 192822?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"}
{"text":"Question: Simplify (g**(1\/2)*g)**(-4\/21)*g*g*g\/g**(-4)*g*g**(-22)\/g assuming g is positive.\nAnswer: g**(-107\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let y(j) = -2*j**2 - 4*j + 4. Let l(t) = t**2 + t - 1. Let d(p) = -4*l(p) - y(p). Let c(q) be the first derivative of -q**3\/3 - 20. What is c(d(h))?\nAnswer: -4*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Divide -55831 by 1440.\nAnswer: -55831\/1440","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 1 - (-1 - (4 - 3))\/(3\/6). Solve -4*a - a - 8 = 4*w, o*w + 5*a + 5 = 0 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -97*o + 35368 = -13520. Calculate the highest common factor of 280 and o.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(u) = 6*u + 5. Let v be q(2). Let t = 14 + -11. Suppose 2*h + 20 = -3*n + 57, h - 20 = -t*n. What is the greatest common factor of v and h?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -62.3 at least as big as 1\/6317?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let r(m) be the first derivative of 56*m**3\/3 + m**2\/2 + m - 3. List the prime factors of r(-1).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 31 - -3. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -2\/9, -185, 23, 2?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 l, 1 p, 1 x, and 1 i when four letters picked without replacement from {c: 1, l: 3, i: 3, x: 2, z: 1, p: 2}?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let n(k) = 10*k**2 - 10*k - 71. Determine n(-5).\nAnswer: 229","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*a - 5*m + 11, -3*m - 3 = -4*m. Let j = a - 2. Are 3\/7 and j non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 6076*k - 1 + 1.\nAnswer: 6076*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence dyq when three letters picked without replacement from yddyq?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let k(u) = -77*u + 1388. Let p be k(18). Let c(t) be the first derivative of -3\/4*t**4 + 0*t + 0*t**p + 2*t**3 + 33. Factor c(z).\nAnswer: -3*z**2*(z - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: -957 divided by 319\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1 - 23 = 5*b + u, 123 = -7*b - 4*u + 79 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from fzsiixsxxfzu. Give prob of sequence if.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -52, -74, -74, -52, -8, 58?\nAnswer: 146","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 185, 210, 259, 332?\n\"Answer: 12*w**2 - 11*w + 184","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -92 - -1be?\nAnswer: 12c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -n = -3*p + 18, -n = 2*p - 0 - 7. Suppose 4*b = 16*b + 60. Sort 6, n, b in descending order.\nAnswer: 6, n, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -86, -791, -2706, -6437, -12590, -21771, -34586?\nAnswer: -51641","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 700 to the power of 1\/2, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is -422365 divided by 84473?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Sort -7, -1, -4 in descending order.\nAnswer: -1, -4, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Does 10 divide 159?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let 4*o**5 + 28*o**4 + 52*o**3 - 12*o**2 - 72*o = 0. What is o?\nAnswer: -3, -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*d = 4*d - j, 0 = -5*j - 10. What is the tens digit of -9 + (-90)\/(-10) + (-1142)\/d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Do -12157213 and -230987034\/19 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {y: 2, i: 1, h: 1, v: 2, k: 1}. Give prob of picking 1 k and 1 v.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 446*p + 455*p + p**4 + 5 - 898*p to f*p**4 + h + y*p + s*p**3 + c*p**2 and give h.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1?  (a) 385  (b) 2.1  (c) 4  (d) -1.3  (e) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 w when three letters picked without replacement from twwwwwwwwwwwwwwwww.\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Express -51 - 7*o + 2*o**3 + o**2 + 0*o**3 - 23*o + 52 + 135*o as t*o**2 + v*o**3 + q + h*o and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: -0.5 * -53\nAnswer: 26.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is (124\/6)\/(6\/27) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 258\/6 + (-1)\/(-1) is divided by 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -46803 (base 9) in base 6?\nAnswer: -400433","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((m\/m**(-31)*m*m)\/m)\/(m**24\/m))\/(m*m**11*(m\/(m**(2\/13)*m))\/m*m))**(-17\/5) assuming m is positive.\nAnswer: m**(408\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*c**4 + 3380*c**3 + 715712*c**2 + 712336*c.\nAnswer: 4*c*(c + 1)*(c + 422)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 97567?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(500) + 0 - 1*sqrt(5)*1) + 5.\nAnswer: 5 + 9*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 8, -39, -180, -463, -936, -1647?\n\"Answer: -8*g**3 + g**2 + 6*g + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 148\/(-259) + 648\/7. Suppose -3*q - b + 92 = 0. What is the fourth biggest value in -3, 0.11, 3, q?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -11, 42, 3\/7?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 17 a factor of 632111701?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a**(-1\/15)*a)\/a**(1\/2) assuming a is positive.\nAnswer: a**(13\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2 - (-5 + 60\/5).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(p) be the second derivative of -p**5\/20 - p**4\/3 - 5*p**3\/6 - 3*p**2\/2 - 13*p - 1. Determine z(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 2*(-1)\/4*-2*-1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-3 - 3 + 4)*(-3 + 3 - y) - y - 3*y + 0*y)*(-8*y + 0*y - 4*y).\nAnswer: 24*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -49\/25428 and -47\/57050.\nAnswer: 4449900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*v - 2*b = -418 + 839 - 428, 21 = 2*v - 27*b for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-15022)\/(-145))\/259*(-1 - (-7)\/6)?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4659 divided by 15228.\nAnswer: 1553\/5076","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*a = 8*a + 336. List the prime factors of a.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*r + 2*r + 2*l = -139, 4*r - 104 = 4*l. Suppose 1 = 5*g - 49. Calculate the remainder when r is divided by g.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 144 and 40.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let y(l) = l**2. Let b(u) = -15773*u. What is b(y(v))?\nAnswer: -15773*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -11 or -39?\nAnswer: -39","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.012268158 to four decimal places.\nAnswer: 0.0123","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.2 in 34, -0.04, 4, -5, 309, -4?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 11674, 10813, 9384, 7393, 4846?\n\"Answer: w**3 - 290*w**2 + 2*w + 11961","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, 5, -2, 71 in descending order.\nAnswer: 71, 5, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 150 and 12675?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -227.1066175 - -0.0518175. Let x = m + 227. Round x to 3 dps.\nAnswer: -0.055","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from hhrhhhr. What is prob of sequence rhhr?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -p - 3*i = -5 - 12, 0 = -5*p - 3*i + 61. Differentiate 22 - g + p*g - 1 + 2*g wrt g.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 0.3  (b) -748  (c) 10  (d) 2  (e) -0.24\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let m(x) = -x**3 + x - 4. Determine m(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 10 - 10. Suppose -5*x - 3*d - 20 - 5 = u, 5 = -x - 2*d. Let v be (55\/10 + x)*-22. Which is greater: -8 or v?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -30*i - 5*i + 80465. What is the remainder when i is divided by 25?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 132 a factor of 122797?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from icchcrr. What is prob of sequence hci?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let u(a) = -3*a + 18. Let n(z) = z**2. Calculate u(n(i)).\nAnswer: -3*i**2 + 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((i*i**(-6)\/i*i)\/i**(3\/5)*i**2*i**(-1\/3))**(1\/11) assuming i is positive.\nAnswer: i**(-59\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 12881550*g**2 + 4*g**3 - 12881550*g**2.\nAnswer: 4*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:13 PM and 6:59 PM?\nAnswer: 166","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 37 + -71. Let h(l) = 2*l**2 - 3*l + 5. Let m(j) = 11*j**2 - 17*j + 29. Let u(a) = p*h(a) + 6*m(a). What is the first derivative of u(z) wrt z?\nAnswer: -4*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1246.09924 rounded to the nearest one hundred?\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -1 - -282?\nAnswer: 281","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-6*((1 + sqrt(208) - sqrt(208)) + sqrt(208) - sqrt(208))*-5)**2.\nAnswer: 900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Express (13 + 4 - 3)*(114*o + 2*o + 18*o + 86*o) as u*o + g and give u.\nAnswer: 3080","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Divide -6733816 by -1683454.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let q(k) = -314*k + 26. Let w(v) = -29*v - 1. Determine -q(b) + w(b).\nAnswer: 285*b - 27","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 18*n - 60 = -2*n. Solve -3*t = -n - 3 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -25 < -18?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let w(j) be the third derivative of -j**5\/420 + 23*j**4\/84 + 129*j**2 + 3. Factor w(k).\nAnswer: -k*(k - 46)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.92 rounded to one decimal place?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 816 - 741. Solve 0 = -10*n + 25*n + u for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(d) = -122*d + 253. Let c be x(2). Let r(i) = -i**3 + 9*i**2 - 6*i. Let l be r(6). Calculate the greatest common divisor of c and l.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -644*k + 1823*k + k**2 - 634*k - 545*k.\nAnswer: k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1 + 1 - -25 - (-10 - (-1 - (-13 - -12))).\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 5*a**3*i - 2*a**3 - 205*a**2*i**3 + 1786*a*i**2 + 2*i**3 wrt a.\nAnswer: 30*a*i - 12*a - 410*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: 110100 divided by -1468\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, 13, 4, 1, -7, -46, 382 in increasing order.\nAnswer: -46, -7, -5, 1, 4, 13, 382","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -332, -1088, -2342, -4088, -6320, -9032, -12218, -15872?\nAnswer: -19988","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -147 - -134. Let c = 20 + d. Let o(k) = 243*k - 46. Is o(c) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -13*b - 3*d + 426 = 0, -76329*d - 163 = -5*b - 76331*d for b.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 36 - 29. Solve -2*o + 0*s - s = -6, -3*o - 2*s + c = 0 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 832 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let w(m) = 3*m**2 + 5*m + 2. Let n be w(-5). Let u(v) = 5 + 0*v + 4*v - 17*v**3 + n*v**3 + 4*v**2. Let f be u(5). What is f rounded to the nearest 1000?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-2)\/(-6) - (-1881)\/27. Let o = w + -37. Is 9 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 4 + 1. Suppose 3*n - 3*t + c = -7, -5*t + 18 = -4*n. Let v(m) = 10*m**3 + 0*m**3 - 8*m**3 - 1 + 3*m**2 + m + 0*m. What is v(n)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 11 + -8. Suppose 2*m - d*m = -2. Suppose 0 = -m*j + 2*p + 18, 1 + 0 = p. List the prime factors of j.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine b, given that -4*b + 6*b - 5 + 8*b + 5*b**2 + 10 = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 388 minutes after 12:28 AM?\nAnswer: 6:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: 17 divided by 14\nAnswer: 17\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let l be -8 - (-9 + -4 + 0). Suppose -4*c + 5*a + 36 = -l*c, 0 = 2*c - 2*a + 60. What is the second smallest value in -4, c, -1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (r - 37 + 34 + 19)*(3*r**2 + 2*r**4 - 3*r**2) + (-2 + 4 + 6)*(0 + 2 + 0)*(-2*r**5 + 1 - 1).\nAnswer: -30*r**5 + 32*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let s(m) = -m**2 - 9*m - 954. Determine s(-23).\nAnswer: -1276","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 967904 divided by -149.\nAnswer: -6496","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2*a**3 + 0*a**3 - 3*a**3 + (148*a + 15*a**3 - 148*a)*(1 + 5 - 4) to the form w*a**2 + c + i*a**3 + p*a and give i.\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Sort 202, 0, 3 in descending order.\nAnswer: 202, 3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 216 - 238. Let b be 14\/(-77) + (-48)\/r. Find t, given that 1\/6*t**3 - 3\/2 + 5\/6*t**b + 1\/2*t = 0.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 24619 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 2197818 and 174430?\nAnswer: 10989090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 50 and 30445?\nAnswer: 304450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -38803 divided by -24.\nAnswer: 38803\/24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*u + 113 = 632. What are the prime factors of u?\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: -648628+2.2\nAnswer: -648625.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let b(d) = -10 + 2*d**2 - 1 + 0*d**2. Let k(h) be the first derivative of h**2\/2 - 10242. What is b(k(w))?\nAnswer: 2*w**2 - 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -49*d + 15 = -54*d. Let l(r) = 8*r + 24. Let p be l(d). Solve p*v - v + 1 = 0 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-1)\/(-3) + 208\/24. What is the units digit of (9*2\/(-15))\/(m\/(-390))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:24 PM and 5:49 AM?\nAnswer: 445","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let r(x) = -3*x**3 + 7*x**2 - 6*x - 7. Let c(g) be the second derivative of 0 + 3\/2*g**2 + 1\/2*g**3 - 9*g + 1\/20*g**5 - 1\/4*g**4. Determine -7*c(w) - 3*r(w).\nAnswer: 2*w**3 - 3*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let z(d) be the second derivative of d**4\/12 + 2*d**3\/3 - 3*d**2 + 11*d - 187. Suppose -2*w + 3*w + 7 = 0. What is z(w)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*o - 19 = -0*o + 2*o - 3*i, -o + 3*i + 23 = 7*i for o.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-350)\/(-100)*(-32)\/(-112).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -89.1898 - -0.1898. Do -2.6 and t have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 32*r = -4*n + 33*r + 11421, -3*n + 8561 = 4*r. List the prime factors of n.\nAnswer: 5, 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(a) be the third derivative of -a**5\/180 + 7*a**4\/18 - 98*a**3\/9 - 4*a**2 + 13. Factor z(x).\nAnswer: -(x - 14)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(n) = 65*n. Let z be 164\/1722 + 80\/42. Let j(p) = 2680 - 2680 - 2*p**z. Give h(j(i)).\nAnswer: -130*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let w(v) be the first derivative of -6*v**7\/7 - 8*v**3\/3 - 10. Find the third derivative of w(c) wrt c.\nAnswer: -720*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 836, 827, 802, 755, 680, 571, 422?\n\"Answer: -j**3 - 2*j**2 + 4*j + 835","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 5*l + 7*l**2 + 6*l**2 - 4*l to j*l**2 + u + h*l and give j.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00003351 to 6 dps.\nAnswer: 0.000034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is ten thirds of a week in minutes?\nAnswer: 33600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 20819*c**4 + 25161?\nAnswer: 83276*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 118971 is divided by 12.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.16?  (a) -2  (b) -676\/3  (c) 1\/20  (d) 1  (e) -2\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Factor 0*r - 2*r**4 + 0 + 1\/2*r**5 - 19\/2*r**3 - 7*r**2.\nAnswer: r**2*(r - 7)*(r + 1)*(r + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -387 + 2879 = 133*g + 45*g for g.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 3581242421 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 0 + 2 - 24\/14. Let a = -20\/3 + 7. Sort -5, a, o in descending order.\nAnswer: a, o, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:14 AM and 5:06 PM?\nAnswer: 652","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 23122575 and 23373?\nAnswer: 161858025","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 31*c = 32*c - 5. Let o(p) = -13*p**2 + 25*p + 2. Let b(v) = -25*v**2 + 51*v + 5. Let g(l) = c*o(l) - 2*b(l). Find the second derivative of g(h) wrt h.\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 11 (base 16) to base 15\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in 67.46303 kilometers?\nAnswer: 67463030","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: -16702 divided by -2\nAnswer: 8351","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 30 = -3*p - 3*l, p - l = 6*p + 66. What is the remainder when (p\/(-4))\/((-1)\/(-14)) is divided by (6 + -5)*-8 + 34?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 5*s + s - 1 - 3*s + (29 + 27 - 79)*(-s + 1 - 1)*(-5 + 76 + 46).\nAnswer: 2694*s - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 823\/44 - -72\/11. Let x = -14708001117\/562 - -26170804. Let b = x - 2\/281. Calculate the common denominator of b and n.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (7 + 1)*(-4)\/(-8). Let v be (-119)\/(-28) + 1\/(-4). Suppose -u + 31 = x*a + 3, -4*a = v*u - 172. What is the tens digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(w) = -w. Let p = -5 + 12. Let q(r) = -6*r**2 + 7*r**2 - p*r**2. Calculate q(k(f)).\nAnswer: -6*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*v - 1 = 3*x - 27, 2 = -3*x + 2*v. Suppose 0*y - 5 = -c + y, 0 = x*c - 4*y - 16. Let -4*o**2 - 1 + 5*o**2 + 2*o - 2*o**c = 0. What is o?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (-5)\/(-40) + (5 - (-92895)\/8)?\nAnswer: 11617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(d) = -d**2 + 15*d - 16. Let w be h(14). Let y be w\/(-4)*(135 - 3). Let z = -4 + y. What is the units digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 598, 599, 600, 601, 602?\n\"Answer: r + 597","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v(w) = 316*w**3 + w. Let n(l) = l**2 - 8. Let c = -25 + 22. Let i be n(c). Is v(i) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(i) = 15*i**3 - 3*i**2 + 11*i + 3. Let g(k) = 30*k**3 - 7*k**2 + 23*k + 7. Determine -3*g(x) + 7*o(x).\nAnswer: 15*x**3 + 8*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*o + 16 = 3*s - 5*o, -3*s - o = -14. Let u(b) = b**2 + 6*b + 5. Let w be u(s). Let m be (6\/w)\/(2\/(-5)). What is the closest to 0.2 in 0.5, -3, m?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(r) be the first derivative of -r**3\/3 + 17*r**2\/2 - 6*r - 97. Calculate the smallest common multiple of 8 and h(9).\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(u) = u**3 + 5*u**2 + 3*u - 3. Suppose -5*r = 3*z + 177, -z - 26 - 33 = 3*r. Let d = z - -56. Give s(d).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(b) be the third derivative of -1\/90*b**5 - 1\/36*b**4 + 1\/315*b**7 + b**2 + 1\/180*b**6 + 0*b + 0*b**3 + 0. Factor t(d).\nAnswer: 2*d*(d - 1)*(d + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose i = -j + 6 + 7, 0 = -2*j - 10. Let r = -18 + i. Suppose r = 10*s - 2*s - 128. List the prime factors of s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 54 a factor of 5886?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Factor -c**2 - 297*c - 10710.\nAnswer: -(c + 42)*(c + 255)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let h(m) be the third derivative of -11*m**8\/336 - m**4\/4 + 21*m**2. What is the second derivative of h(s) wrt s?\nAnswer: -220*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in -4\/3, 1, 0.03, -1, 0.1?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 432826552?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 7\/8 of a kilometer in meters?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from dgddgdgddddgdd. What is prob of sequence dddd?\nAnswer: 30\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let f(n) = -105*n. Let t(o) = -577*o. Let j(w) = 11*f(w) - 2*t(w). Let r(d) = 18*d**2 - 2*d. What is j(r(p))?\nAnswer: -18*p**2 + 2*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve v - 2*t = -9, 203 = 935*v - 937*v - 33*t for v.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 38\/171*-9*33\/2?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -16*g + 10 + 86 for g.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let w(b) = 10*b + 9*b**2 - b**2 - 2*b**2 + b**2 - 6*b**2 + 10. Give w(-11).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*q + 8*q - 3*q)*(5*q**4 - 5*q**4 + q**4) + 4*q**3 - q**5 - 4*q**3.\nAnswer: 2*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is -17372 divided by -1?\nAnswer: 17372","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.034450294 to six decimal places.\nAnswer: 0.03445","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 560 minutes after 11:07 AM?\nAnswer: 8:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -13*l - 6 = -4*p - 59, -1177 = -5*p + 3*l - 1230 for p.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 254 - (-2 + 0) - -2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(i) be the first derivative of -63*i**4\/4 + 70*i**3\/3 + 49. What is the third derivative of h(b) wrt b?\nAnswer: -378","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(k) be the second derivative of k**5\/20 + 17*k**4\/12 - k**3\/6 - 8*k**2 - 42*k. Let t be i(-17). Solve 3*h = -s + t - 0, 4*s + 14 = -3*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -5496762810848 from 3.\nAnswer: 5496762810851","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*a - 6 = -2*q, 5*a + 6*q + 5 = 11*q for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let a(y) = 19457*y - 1050723. Determine a(54).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is -213045 less than -0.5?\nAnswer: 213044.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.3402641 - -0.019?\nAnswer: -0.3212641","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let i(n) = n**2 - 5*n + 2. Let r be i(3). Let v be 3\/(18\/(-30))*1. Put r, v, 1 in ascending order.\nAnswer: v, r, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1847 is divided by 84.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let f(r) = -4*r**2 - 2*r. Calculate f(-1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 12 - 17. Let q = -5 + 7. Let i = 507 + -9631\/19. Which is the smallest value?  (a) i  (b) q  (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -c = -3*x + 4*c + 16, -10 = -x + 4*c for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -28 + 35 + 33 = -2*t for t.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0*i - i - i - 3*i - i + 6*i - 6*i + 4*i + 4*i + (-2*i + 3 - 3)*(-1 - 1 + 0) - 3 - i + 3 - i + 2*i - 2*i + 4 + i - 4 + 222*i + 189*i - 291*i.\nAnswer: 125*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -33*q**2 + 86*q**2 - 27*q**2 - 31*q**2.\nAnswer: -5*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, -1085\/3, -5 in ascending order.\nAnswer: -1085\/3, -5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (0 + (5 - 4))\/(-9).\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 o, 1 j, and 1 x when four letters picked without replacement from jmhjjhxojrmhomj.\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12*r = -25*r + 182. Solve -5*w + 1 = -r for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(f) = f**3 - 15*f**2 - 16*f + 11. Let k be c(16). Solve 3*y - k = 5*o - 3, 5*o = y - 6 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 381 is divided by 125?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-5)\/4*3\/15. Let u be 4*2*(-2)\/8. Is n <= u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 62*t - 54*t - 2856 = 0. Calculate the lowest common multiple of t and 175.\nAnswer: 8925","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-6)\/(-12) - (-212)\/8. Suppose s*w = 30*w - 129. Which is bigger: 42 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(a) = -24*a. Let c(o) = -4*o. Calculate c(p(i)).\nAnswer: 96*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 7462 + -7449. Let r be (-6)\/9*4*(-6)\/(-4). What is the second biggest value in 3, r, g, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(d) be the second derivative of d**4\/3 - 16*d**3\/3 + 32*d**2 + 11*d. Factor c(n).\nAnswer: 4*(n - 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -29\/13527 and 119\/5580.\nAnswer: 8386740","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"}
{"text":"Question: Solve -6594 - 3241 = -281*c for c.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 203\/28 + -4 - 1\/4. Suppose 2 = -j - z, -5*j = 2*w - 159. What is the tens digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 17079 to the power of 1\/2, to the nearest integer?\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1*(-4 + (sqrt(200) - (-2*sqrt(200)*2 - sqrt(200)) - (sqrt(200) + sqrt(200)*1 + -2))**2 - -4*((sqrt(200) + 0)**2*-2 + 2)).\nAnswer: -1608 - 160*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 23087.\nAnswer: 23087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 5884.2 - 5884. Let z = -3 - -2. Let r = 0.9 + z. What is the third smallest value in 5\/4, r, m, 5?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 10490 is divided by 37.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let g be ((0 + 1)*3)\/((-84)\/2128). Let l = g - -77. What is the greatest common factor of 7 and l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10 - 14 = -2*y. What is the greatest common factor of 516 and y?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (8\/(-20))\/(14*4\/(-40))?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*v - n - 5, -3*n - 15 = -v + 3*v. Sort 5, 4, v, 2 in increasing order.\nAnswer: v, 2, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 4220, 7071, 9566, 11705, 13488, 14915?\n\"Answer: -178*w**2 + 3385*w + 1013","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -43857524, -43857525, -43857526?\nAnswer: -43857527","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-2490)\/(-6) + (5 - 2). What is the highest common divisor of c and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*p - 8 + 3. Let u = -2 + p. Let t = 5 + -3. What is the closest to t in -5, u, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15 = 3*u, -3*h = -0*h + u + 5. Suppose -q - 2*t = -h - 1, -1 = 3*q + 5*t. Is -7 <= q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 57, 12, -57, -144, -243, -348, -453?\nAnswer: -552","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*a + 5 = 5*l, 5 = 5*l - 3*a + 2 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6 = -4*d + 34. Suppose d = -3*k - 5*h, -18 + 4 = 4*k + 2*h. Let m = k - -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: What is the tens digit of 41436?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 30 = p + 5*u, -8 = 5*p - 2*u - 50 for p.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -6954 + 7419. What is the lowest common multiple of 540 and a?\nAnswer: 16740","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -102, -416, -940, -1674, -2618, -3772, -5136?\n\"Answer: -105*v**2 + v + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 62*g - 10*g**2 - 113*g + 7432*g**3 + 57*g.\nAnswer: 7432*g**3 - 10*g**2 + 6*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from isiriirmtiasrrr. What is prob of sequence sta?\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 - (-4 + 0 - (-425 + 442))?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*d - 17*u = -13*u - 12, 2*u = -5*d + 6 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let s(i) = i**2 + 6*i - 2. Let u(q) = q**3 - 6*q**2 - 8*q. Let h be u(7). Let j be s(h). Suppose -3 = -3*t + 6. Solve 0 = j*d + 2 + t for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 2604, 2590, 2562, 2514, 2440, 2334?\nAnswer: 2190","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 b and 2 f when three letters picked without replacement from ccffffccbccwwc?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*v - 16 + 5 = -5*u, -2*v - 3 = u for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 55\/4 of a millisecond in microseconds?\nAnswer: 13750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 1 + -17. Let u(s) = s**2 + 6*s + 2. Let q be u(-5). What is the units digit of q\/2*t\/12?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 159*s - 1442 - 364 = 30*s for s.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -12 - (-3 - 12 - (86 - (-49 - -26)))?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 96140972, 96140966, 96140960, 96140954?\nAnswer: 96140948","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 31087 is divided by 362.\nAnswer: 317","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -37\/2220600 and 137\/12.\nAnswer: 2220600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:39 AM and 5:26 PM?\nAnswer: 647","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let d(z) = 19*z**2 - 60*z - 1. What is d(3)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve d - 2*r = 4*d - 23, 20 = 5*r for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w\/((w*w**7)\/w)*w*w**(-1\/16))\/(w**(2\/23)*w*w)**(-8\/5) assuming w is positive.\nAnswer: w**(-3171\/1840)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 138 and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 957651106 to the nearest integer?\nAnswer: 30946","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let f(a) = -2*a + 4. Let q(o) = 5*o - 11. Let d(s) = -11*f(s) - 4*q(s). Suppose 3*h - 4*h = -2. Let x(z) = -z**h - z**2 + z**2. Determine d(x(c)).\nAnswer: -2*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many nanoseconds are there in 6.554232 days?\nAnswer: 566285644800000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1 + sqrt(1300) + 2 + sqrt(1300) + 2 + -2)**2 + 6*2*sqrt(1300)*-5*-3.\nAnswer: 5201 + 1840*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let v(b) = -22*b**2 + 32*b + 6. Let z(l) = -21*l**2 + 31*l + 5. Let d(u) = -5*v(u) + 6*z(u). What is the second derivative of d(h) wrt h?\nAnswer: -32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-2)\/(-3) + (-1531222)\/33. Round w to the nearest ten thousand.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -a - 0 + 1 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -a69e7 + -d?\nAnswer: -a6a05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-1 + 1 + 2)*(0 + 0 + x) + 3*x + 0*x + 0*x)*(18251 - 18251 + 19901*x).\nAnswer: 99505*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 u and 1 q when two letters picked without replacement from {u: 1, y: 2, q: 4, z: 2, a: 1, g: 2}.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ppppppdhppphpphpdp. Give prob of picking 1 p and 1 h.\nAnswer: 13\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is fifty-two fifths of a litre in millilitres?\nAnswer: 10400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert -3 (base 16) to base 11.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 b and 1 v when three letters picked without replacement from bvvvbbvvvbbvvvvvvv?\nAnswer: 65\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0*h**5 + 0*h**5 + 4*h**5 - 2*h**5 - h**5 + h**5 + (-2*h + 1 - 1)*(-h**4 - 3*h + 3*h) - 2*h**5 + 5*h**5 - 4*h**5.\nAnswer: 3*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 4315 and -0.5?\nAnswer: -2157.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 96647.11 rounded to the nearest 100?\nAnswer: 96600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is -285\/167 greater than 3\/8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -5  (b) -17  (c) 2\/9  (d) 1  (e) -2\/7  (f) -4  (g) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let h(b) be the first derivative of -62500*b**2 + 2. Let a be 1\/(-2) + (-22)\/4. Let v be h(a). Round v to the nearest one hundred thousand.\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.2 in 3, 46, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-840)\/63 + 18)\/((-2)\/3).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {l: 11, q: 2, c: 7}. What is prob of sequence qcl?\nAnswer: 77\/3420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: 236\/272 + (2\/(-5))\/((-10)\/150*-51)\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 253.8327 years to months.\nAnswer: 3045.9924","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 118707938 and -0.4?\nAnswer: -47483175.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(180) + 2*sqrt(180))*4 - (sqrt(180) - sqrt(180)*1)*-6)**2.\nAnswer: 25920","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 17385 is divided by 187?\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((r\/(r**0\/r*r*r)*r)**(-1\/13)\/(r**1)**(-11\/5))**4 assuming r is positive.\nAnswer: r**(552\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*x + 7*x = -x. Suppose -41*i - r = -44*i + 23006, x = 3*i - 5*r - 23002. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 4137 and 0.7?\nAnswer: 2895.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (7 - -1 - 1) + (70 - 66).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {w: 1, u: 5, z: 1, g: 1, h: 4, q: 5}. Give prob of picking 1 u and 1 q.\nAnswer: 25\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let a(i) = 3*i. Let y(t) = -t**2 + 2*t + 2. Let c(k) = 7*k**2 - 13*k - 13. Let u(w) = 6*c(w) + 39*y(w). Calculate a(u(s)).\nAnswer: 9*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: -149443*99\nAnswer: -14794857","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -3*r**3*u**3*z + r**3*u**2*z + 2*r**3*u**2 + 100*r**3*u*z + 10525*r*u**3*z + 4*r - 5*u*z wrt u.\nAnswer: -18*r**3*z + 63150*r*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 51532317?\nAnswer: 3, 97, 59029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 31 = 43*d - 12. Let t = 0.2 - -1.4. Sort t, 2, d.\nAnswer: d, t, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in -1\/42, 73, 4, 0.4, -0.5, -3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -5.7 - -5.7. Let n = -3 + 7. Put l, -0.4, n in ascending order.\nAnswer: -0.4, l, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 1.95 - -18.45. Let n = u + -20. Which is the second smallest value?  (a) 2\/11  (b) 0.5  (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*s, a - 15 = 8*s - 5*s. Calculate the remainder when 87 is divided by a.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 368, 348, 316, 266, 192?\nAnswer: 88","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 166 - 149. Suppose 714 = 19*i - n*i. What are the prime factors of i?\nAnswer: 3, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 27, 26, 21, 12, -1, -18, -39?\n\"Answer: -2*g**2 + 5*g + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*a**5\/3 + 4064*a**4\/3 - 17724*a**3 - 4064*a**2\/3 + 53170*a\/3 = 0 for a.\nAnswer: -2045, -1, 0, 1, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: -1 + (-3 - -3 - -3)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f(m) = -7*m + 2. Let l(s) = 3*s - 8. Let p(b) = 4*b - 11. Let h(x) = -7*l(x) + 5*p(x). What is -f(g) + 2*h(g)?\nAnswer: 5*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:54 AM and 10:50 AM?\nAnswer: 416","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 835 - 841. Let d(j) = -j**3 - 11*j**2 + 14*j + 10. Let b(p) = p**2 - p - 1. Let x(v) = 6*b(v) + d(v). Give x(c).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of q*z**2 + 6*q*z - 533*q + 77370*z**2 - 2 wrt z.\nAnswer: 2*q + 154740","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is fourty-six fifths of a meter in millimeters?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 2 - ((-8)\/(-4)*1 - 3). Suppose y = -3*v - 3. Let p = -2.8 + 3.1. Sort p, 0.4, v, -1\/3 in ascending order.\nAnswer: v, -1\/3, p, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*y**3 + 2*y**3 + 4*y**5 + (-2*y**2 - 4*y + 4*y)*(3*y**3 + 0*y**3 + 0*y**3) + y**5 + 0*y**4 + 0*y**4 - y**5 + 2*y**4 - 2*y**4.\nAnswer: -2*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let w(n) = -4*n - 1. Let u be ((-9)\/(-6) + -2)*2. Let v be w(u). Solve -v*f = -8 - 7 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.000029955471 to six dps.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 2241 and 73915?\nAnswer: 165643515","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 0.417 >= -167?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*g + 50 = -2*v, 4*g - 513*v + 1044*v = 12*g + 526*v + 91 for g.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 20634886 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose j**2\/2 - 76*j + 2838 = 0. Calculate j.\nAnswer: 66, 86","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -11183.29046 + 11183. Let l = -56 - -56.29. Let i = h + l. What is i rounded to 4 decimal places?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0002995198 to 4 dps.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let q(c) be the first derivative of -c**2 + 2*c + 3. Let d be q(0). Let g(h) = 4*h**2 - 2. What is g(d)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(d) = d - 2. Suppose 8 = 4*c - 0. Let q be g(c). Solve q = x - 2*x - 5 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 2742 + -833. What are the prime factors of s?\nAnswer: 23, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -6\/13?  (a) 16  (b) -2\/3  (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 10111892 and 6608?\nAnswer: 1652","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -3692.77 + 3660. Let w = c - -33. Round w to one dp.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine z, given that 4\/3*z**4 - 5\/2*z + 1\/6*z**5 + 7\/3*z**3 - 4\/3*z**2 + 0 = 0.\nAnswer: -5, -3, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-6)\/4*264\/(-9). Suppose 40 = 3*m - o. What is the units digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 415, 643, 871, 1099, 1327, 1555?\n\"Answer: 228*y + 187","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 - (4 + (-1 + -3 - 4))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 17041 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 1.03 + -1. Let d = m + -0.33. What is the biggest value in 1\/3, 5, 1, d?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -414310 = -5*z - p, 0*z + 4*z = p + 331457. Suppose 0 = -15*w + z + 43287. What is w rounded to the nearest one thousand?\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -w - 6*y = -2*y - 8361, -w + 3*y + 8382 = 0. Suppose -6*c - 1581 = -w. List the prime factors of c\/14 - 18\/(-126).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 10*s**2 - 9181 + 9181.\nAnswer: 10*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 26 - 26. Let o = s - -18. What is the greatest common factor of 162 and o?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*t = 7*t + 30. Let i = t - -19. Suppose 0 = 8*m - 19 - i. Solve -2*f = -m*f + 2 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 20021 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let g(f) = -f**3 + 7*f**2 - 4*f - 3. Let c be g(6). Does 3 divide c\/4 + (-45)\/(-60)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -171\/7, 1\/5, -32, -52 in ascending order.\nAnswer: -52, -32, -171\/7, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -18*x - 2*x = -1720. Calculate the highest common factor of x and 43.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -5 - a88?\nAnswer: -a8d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 1108 to the power of 1\/3, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is j in 316*j**5\/3 - 3796*j**4\/3 - 11644*j**3\/3 + 34276*j**2\/3 + 26400*j - 336 = 0?\nAnswer: -3, -2, 1\/79, 3, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 444, 1788, 4028, 7164, 11196, 16124?\nAnswer: 21948","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((m*m**(2\/3))\/m*m)**(1\/41)\/((((m*m*m\/(m**6*m)*m)\/m*m)\/m)\/(m*m\/m**(2\/13))))**(1\/2) assuming m is positive.\nAnswer: m**(9413\/3198)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 3445 and 212?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 1 - 0. Let j(q) = -5*q - 3. Let z(s) = -20 + 8 + 1 + 4 + 8. Let a(p) = y*j(p) + 3*z(p). Let n(b) = -b**2. What is n(a(t))?\nAnswer: -25*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 343\/4290 - 1\/330. Which is the second biggest value?  (a) u  (b) 4  (c) -2\/5  (d) 6\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -4+84150172\nAnswer: 84150168","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: 1021 (base 7) to base 10\nAnswer: 358","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -4910, -4908, -4906?\n\"Answer: 2*d - 4912","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -20 - 14 = -v. Let o = -131 + v. Let t = 137 + o. What are the prime factors of t?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -532.7  (b) 3\/7  (c) 10\/141\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 1 - -8259a10?\nAnswer: 8259a11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose k + 64 = -3*v + 17, 3*k + 4*v = -166. Round k to the nearest ten.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1173?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let z(d) be the first derivative of -7*d**4\/24 - d**2\/2 + 23. Let l(i) be the second derivative of z(i). Let c(a) = -5*a. Give l(c(x)).\nAnswer: 35*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*b = 2*k + 2*k - 10, 2*b - 4*k - 2 = 0. Suppose b = -3*d + 9. What is the derivative of -3 + 5 + 0 + o**d - 7 wrt o?\nAnswer: 2*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(a) = -1133*a - 13594. What is x(-12)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 m and 1 r when two letters picked without replacement from ryrrmmrrmyrmrr?\nAnswer: 32\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let y(r) = r**2 + 83*r - 442. Let j be y(-88). Let c(w) = -11*w. Let h(x) = 6*x. Let b(n) = -3*c(n) - 5*h(n). Let u(p) = p - 1. Calculate j*u(o) + b(o).\nAnswer: o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 1874, 3771, 5690, 7637, 9618, 11639?\n\"Answer: y**3 + 5*y**2 + 1875*y - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 22753 is divided by 242.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*v + 360 = -3*i, -i + v - 113 = 2*v. Suppose 296 = -2*g + 350. Let r be (-18)\/12*i\/g. Which is greater: 5 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -21 * -13.\nAnswer: 273","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 8 - 47. Suppose 204*z - 213 + 1 = 196. Put z, -2, h in descending order.\nAnswer: z, -2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is fifty-two fifths of a meter in centimeters?\nAnswer: 1040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:19 PM and 8:08 PM?\nAnswer: 289","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*j - 6. Let u(o) = -2*o - 1. Suppose -2*d + 10 = v, -4*v - 5*d + 37 = -0*d. What is the smallest common multiple of v and u(j)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -95 = 12*y + 7*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 180 and 170.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 1426, 2930, 4440, 5956, 7478, 9006, 10540?\n\"Answer: 3*h**2 + 1495*h - 72","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 3  (b) 2\/17  (c) 0.1  (d) 16  (e) -131\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 20 and 496?\nAnswer: 2480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 819889801 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let w(o) = -13*o**3 + 12*o**2 + 11*o - 3. Let k(j) = 6*j**3 - 5*j**2 - 5*j + 1. Let p(h) = -7*k(h) - 3*w(h). Give p(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ukuu when four letters picked without replacement from {u: 5, k: 2, a: 4}?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 103 - 68. Let a be (-2 - 45\/(-18))*-4. What is the remainder when b is divided by (3 + 1 + -7)*a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2*4*sqrt(475)*-5 + 3 - (5*(sqrt(342)\/sqrt(2) - (1 + sqrt(304) + sqrt(304)))**2 + -2).\nAnswer: -2375 - 250*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3 + -2*sqrt(245) + (2*sqrt(5)*-1)**2 + sqrt(5) + 4.\nAnswer: -13*sqrt(5) + 21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let d(g) = 5*g + 124. Give d(-25).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-560*t**2 + 2406 - 550*t**2 - 2403)*(3 - t**3 - 3).\nAnswer: 1110*t**5 - 3*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 205973 and 2529?\nAnswer: 281","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let s(m) be the third derivative of -m**7\/210 + m**6\/60 - m**5\/60 + 3*m**2. Determine z so that s(z) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 715*n - 2197*n - 2397*n + 659*n as r*n + b and give r.\nAnswer: -3220","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (3\/((-18)\/3))\/(40\/16).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 + 4 - 2)*(0 + 1 + 0)*(-3*z + 2*z - 2*z).\nAnswer: -12*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 5\/4 of a century?\nAnswer: 1500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -116732*i**3 + 25686*i**3 - 70724*i**3 + 15456*i**3 - 47147*i**3.\nAnswer: -193461*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let m(i) = -i**2 - 18*i - 41. Determine m(-3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Express 4 - 3*h**3 - 13828*h - 4*h**2 + 5*h**3 - 13821*h + 27579*h + 2*h**2 in the form k*h + i + a*h**2 + t*h**3 and give i.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 1320156894 a multiple of 645?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -216 - 84 = 12*u. Which is smaller: u or -71\/3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -3 + (-5 + (3 + 84 - -7) - 10 - 2)?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 34084904 divided by 28.\nAnswer: 1217318","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let n(w) be the second derivative of w**6\/6 + w**3\/6 - 4*w. What is the second derivative of n(k) wrt k?\nAnswer: 60*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -o**3 - 4\/3*o + 1\/3*o**5 + 8\/3*o**2 + 0 - 2\/3*o**4.\nAnswer: o*(o - 2)*(o - 1)**2*(o + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*n**3 + 21448*n**2 - 21446*n = 0 for n.\nAnswer: 0, 1, 10723","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 16 = 21*n - 17*n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -45 + 50. Let g(b) = -2 + b + 1 + 2*b. Let l be g(1). Solve w*q + 3*o + 3 = -0*q, -l = -5*q + 2*o for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*u + 0 = 4. Let y be (1 - u) + (4 - -3). Suppose 4*n - 9*n + y = 0. Solve q = n*p - 8, -q - 2*p = p - 12 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 188\/259 - 11\/37. Suppose q + 3*q = 352. Let t = 171\/2 - q. Put -0.2, m, t in ascending order.\nAnswer: t, -0.2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 565304 is divided by 2375.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-1 - -3) + -5 - -60. Suppose q = -16 - h. Let a = q - -126. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-713*j**2 + 718*j**2 + 1036*j**2)*(2*j**3 - j**3 - 3*j**3) + j - j - 2*j**5.\nAnswer: -2084*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 64 + -64. Solve 0 = -2*g - b*g + 4 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -0.0607 + 0.060727862. Round f to 6 dps.\nAnswer: 0.000028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3312 divided by -36.\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4927470 divided by 2.\nAnswer: 2463735","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 4008256?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let b(n) be the first derivative of n**4 - 2*n**2 + 11. Suppose b(r) = 0. What is r?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 549945275?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 49938 in 12, -0.5, 2\/3, 6, -5, -3\/5?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let s(v) = -12*v**2. Suppose -6*i + 12 = 2*x - 8*i, -3*x - 4*i = -25. Let j(k) = 3*k + x*k - 5*k + 9*k. Calculate j(s(y)).\nAnswer: -168*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 20395708 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 261, 260, 259, 258?\nAnswer: 257","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ee when two letters picked without replacement from eeez.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Express (433 + 208 + 286 - 185)*(-2 + 0 + 3)*(-26 + 1 - 1)*(-l + 3*l + 0*l) as m + h*l and give h.\nAnswer: -38584","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 1\/1*0\/(-65) - (-4)\/(-8509). Is r less than or equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(j) = -11*j - 8. Let i(v) = 6*v + 3. Determine -2*b(l) - 5*i(l).\nAnswer: -8*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 72*p**2 + 84*p + 86*p + 162*p**2 - 73*p**2 - 41*p wrt p.\nAnswer: 322","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 101 + -203. Suppose -3*p = 165 + 390. Let b = z - p. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 2\/245 and 55\/45237486.\nAnswer: 226187430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence pxc when three letters picked without replacement from {c: 1, p: 1, x: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 2399375 and 30.\nAnswer: 14396250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let n(u) = -24*u. Let d be n(1). Let o be -1*2 + d\/(-11). Let p = -0.6 + 0.6. What is the second biggest value in p, o, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-11)\/((-77)\/(-4))*(728\/(-48))\/(-13).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 5535538387 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -17 - -17.026. What is n rounded to three dps?\nAnswer: 0.026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -3 - 1. Let i be (-2 - (t + 2))*1. Suppose 2*n - 5 - 3 = i. What is the greatest common factor of n and 28?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((v**2\/v*v)\/v)\/v)\/v**3)\/(v**(-1))**26*((v*v**0\/v)**(-48))**35 assuming v is positive.\nAnswer: v**23","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2*(2*(2 + sqrt(72) + sqrt(72))**2 + (0 + sqrt(72))*5).\nAnswer: 252*sqrt(2) + 1168","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*f - 5*y + 3 + 24 = 0, 0 = 5*f - 5*y + 20. Let w be (f + 4)*2\/(-5). Let p be (2 - 9\/6)*w. Which is greater: p or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(o) = 12*o**3 + o**2 - o + 2. Let i be m(-2). Let w = -83 - i. Solve -f - 2*b - 23 = -6*b, 31 = -2*f + w*b for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 3657829?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand (y - 2 + 3 + 1)*(2*y - 14 + 14).\nAnswer: 2*y**2 + 4*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 2\/7 - 275\/154. Which is the closest to 0?  (a) -8  (b) 1\/7  (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 1\/5, 2, 5, 4, 0.7?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 46 a factor of 4332?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q**(-3)\/(q\/(q*q\/(q\/(q*q**2))))*(q**(-1\/4))**28)\/(((q**5\/q)\/q*q)\/(q*q**(-2\/19))*(q*q**(1\/2)\/q)\/q**(-3\/8)) assuming q is positive.\nAnswer: q**(-1669\/152)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2 - 411*m**2 + m**4 + 142*m**2 + 61*m + m**3 + 132*m**2 + 138*m**2 to the form k + n*m + u*m**3 + z*m**2 + l*m**4 and give n.\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is (8 - 12) + 4 - 5?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand -a**5 - a**4 + a**4 + (2*a**2 - 2 + 2)*(-2*a**3 + 3*a**3 + 0*a**3) - 5917516*a + 5917516*a - 681*a**5 - 618*a**5.\nAnswer: -1298*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -3741 - -3743. Let b(p) be the third derivative of -p**3 - 1\/3*p**4 - 15*p**h + 0 + 0*p. Differentiate b(v) with respect to v.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((7310\/(-255))\/86)\/(1\/153)?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-51)\/(-34))\/(3\/(-10)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q(g) = g**3 - 16*g**2 + 4. Let t be q(16). Suppose h - 896 = 3*u, h - 774 - 117 = t*u. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(c) = -c**3 + c + 1. Let n = 50 - 108. Let t = 356 - 412. Let q = n - t. What is s(q)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -10*v - 13*v + 10442. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find f such that 2*f**3\/9 - 2*f**2\/3 - 4*f\/3 + 16\/9 = 0.\nAnswer: -2, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 263841 and 699.\nAnswer: 61474953","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 11945, 11947, 11949, 11951?\nAnswer: 11953","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Put -22, -1, 61, -5 in ascending order.\nAnswer: -22, -5, -1, 61","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: -1 + 0 + (43 - 16) + -15 - -3\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a(v) = 48*v + 1113. Let x be a(-23). Let c(r) = -2*r**3 + 4*r**2 + 4*r + 5. Let o(u) = -4*u**3 + 9*u**2 + 9*u + 11. Calculate x*c(m) - 4*o(m).\nAnswer: -2*m**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 37 + -40. Let j(u) = -u**2 + 9*u - 4. Let c be ((-2)\/6)\/(1\/(-27)). Let w be j(c). Is v <= w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1\/75939 or 0?\nAnswer: -1\/75939","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 35*v**3 - 1278*v**2 + 43*v**3 + 1287*v**2 + 24*v**3 + 44*v**3 to p + n*v**3 + i*v + j*v**2 and give n.\nAnswer: 146","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -44 + 46. Suppose -2*k = -10 + x. Suppose 6 = -q + k*w, w - 7 = -2*q - 1. Solve -h + 4 = 3*d - 1, -2 = -q*d for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -18161561 and -0.08?\nAnswer: 1452924.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*d = 106*l - 107*l + 22, -2*l + 2*d - 16 = 0 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 17\/12, -0.3, 1\/6?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 139 and 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let u(k) = k**2 + 27. Let t(g) = -4*g**2 + 118*g - 134. Calculate t(r) + 5*u(r).\nAnswer: r**2 + 118*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 218\/3 + -72. Which is the nearest to 0.1?  (a) m  (b) 3  (c) -0.05\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -978, 1, -3, 2\/111, 2 in increasing order.\nAnswer: -978, -3, 2\/111, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let l(p) be the second derivative of p**4\/24 + 37*p**3\/6 + 1369*p**2\/4 - 1226*p - 2. Factor l(b).\nAnswer: (b + 37)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 0.21 + -0.11. Which is the smallest value?  (a) -1\/7  (b) s  (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:46 PM and 12:56 AM?\nAnswer: 130","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*t - 2*t**4 - 2*t)*(2*t - t - 3*t + (-2*t - 2 + 2)*(-1 - 3 + 2) + 5*t - 2*t - 4*t).\nAnswer: -2*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 2 - (-696)\/(-60) - (-4)\/(-10). Find the common denominator of p\/(-28)*((-585)\/13)\/9 and 26\/77.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence xjxq when four letters picked without replacement from qqqjqxqxjjqxq.\nAnswer: 21\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 - 1 + 1)*((-5 + 0 + 4)*(0*y + 3*y - y) - 2*y + y + 0*y - 2*y + 2*y + y + 3*y + y - 3*y + (113 + 222 + 245)*(2*y - 2 + 2))*(2 - 4 + 4).\nAnswer: 4636*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 91, 4, -0.3, 2\/9?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5 + 4 + (sqrt(50) + -2 + sqrt(50) + -3 + sqrt(50) - sqrt(800)*1) + -5 + 1 + 5.\nAnswer: -5*sqrt(2) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Divide 1744930 by -5470.\nAnswer: -319","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 13*d**3 + 275 - 11835*d**2 + 23670*d**2 - 11835*d**2.\nAnswer: 13*d**3 + 275","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from zvvoooiooiiiiqiooqq. What is prob of picking 1 q, 1 i, 1 v, and 1 o?\nAnswer: 21\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.372 rounded to one decimal place?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -u**4\/2 - 121693*u**3\/2 + 182544*u**2 - 2*u - 243392 = 0 for u.\nAnswer: -121696, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 9 - 5. Suppose 0*f + 4 = d*f. Let z = -4 + f. Which is the biggest value?  (a) -5  (b) -1  (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 51667, 51590, 51513?\nAnswer: 51436","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p(g) = -4*g + 8. Let k be p(2). Suppose j - 5 = 2*j, 2*j + 16 = 2*q. Suppose k*w = q*w - 222. What are the prime factors of w?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2812 divided by 7?\nAnswer: -2812\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*v - 2 + 0 = -2*b, 0 = 4*v + 5*b - 23. Suppose 4*q = v*q + 6. Is 1\/(-3*q\/(-2313)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (65 - 67)*19\/(-2). Find the second derivative of 52*i**2 + 7*i - r*i - 2 + 79*i**2 - 31*i wrt i.\nAnswer: 262","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -700 - -1440. Let z = 330 - u. Let x = -349.7 - z. Round x to the nearest 10.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 3 - 119?\nAnswer: -116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let y(x) be the third derivative of 0*x**3 + 1\/120*x**4 + 0 + 0*x - 1\/600*x**6 - 4*x**2 + 0*x**5. Let y(k) = 0. What is k?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence aa when two letters picked without replacement from {s: 2, a: 8}.\nAnswer: 28\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-2)\/(-1 + 2) - -4. Suppose 0 = y*i + i - 9. Let w = -4 + i. Which is smaller: 2\/9 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 15174 is divided by 28?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 60, 38, -42, -210, -496?\nAnswer: -930","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u(y) = -3*y**3 + y**2 + 2*y + 1. Let o be u(-1). Suppose 2*d - o*d = -15. Is d a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 607211.\nAnswer: 11, 55201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is (-36)\/360 + 9\/(-10)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 0.04, -349\/6, -5, -3\/2, -0.2, -0.1?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -82921*x**4 - 112075*x**2 wrt x?\nAnswer: -1990104*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 60*n + 361*n - 3789 - 3789 for n.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 7535 and 2055?\nAnswer: 22605","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.14*-6761729.\nAnswer: -946642.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*o - z + 78, 5*z - 86 = 5*o - 9*o. Solve 3*g + 5*i = o, 15 = 4*g - g + 3*i for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 - (-101)\/(-99) - 37050092\/(-2466684)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*i + 11*i = 4*i. Solve 0 = -l - i*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -652 + 656. Let j = -6 + 3. Calculate the least common multiple of l and j\/(-6) + (-49)\/(-14).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 0.91 + -1.81. Round s to the nearest ten.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(w) = 2*w - 3. Let k = -2687 - -2688. Let h(x) = -x - 1. Calculate k*z(r) - 3*h(r).\nAnswer: 5*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 197 minutes before 6:32 AM?\nAnswer: 3:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Convert 40.51746 millennia to months.\nAnswer: 486209.52","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -60 - -60.000387. What is w rounded to 5 dps?\nAnswer: 0.00039","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -13 - -9. Let h be m*(-1)\/(16\/12). Suppose 4*n = h*n + 42. Is n a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 875.8869 rounded to the nearest 100?\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let h(r) = -r**2 + 7*r + 179. Suppose 2*j + 3*t - 34 = 0, 8*t + 68 = 4*j + 7*t. Let q be h(j). Solve 3*b - 2*i = -2*b + 15, -3*b - i = -q for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -246343\/10372 - -2\/2593. What is the common denominator of 4\/319 and b?\nAnswer: 1276","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 0 + sqrt(180) + -1.\nAnswer: -1 + 6*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 629*j**3 + 1119*j**3 + 777*j**3.\nAnswer: 2525*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 10*p + 19 + 31 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -8*q = -107 - 13 for q.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: 476\/(-5) - -6 - (-73 + (-9772)\/(-140))\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 0.0492 - -23.8708. What is q rounded to zero dps?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 11763571 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let m(x) = -9*x**2 - 3*x + 3. Let a(q) = -q**2 - 8*q - 8. Let l be a(-7). Let j(c) = -c + c + 30923 + 30923 - 2*c - 61847 + 3*c. What is l*m(i) - 3*j(i)?\nAnswer: 9*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -13 - -17 - (2 - -3).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(k) = -8*k - 9. Let z(o) = 15 - 27*o - 59 - 11*o. Let w(j) = -14*y(j) + 3*z(j). Calculate w(-5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 2 - -1. Suppose -3*r + 10 + s = 2*q, -2*r + 6 = 4*q. Let p be 1 - (q - (-3)\/(-1)). Solve 3*f + 10 = p*k + 30, -3*f + 8 = -2*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 49 + (4 - (25 - -56))\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p(i) = 3*i. Let x(l) = 172*l**2 + 3*l + 6. Let g(d) = -2580*d**2 - 44*d - 88. Let o(u) = -3*g(u) - 44*x(u). What is o(p(v))?\nAnswer: 1548*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -13*h - 211 = -705. Calculate the remainder when h is divided by 34.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(r) = 2*r**2 + r + 1. Calculate d(2).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 1255776149?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Put 4, -476, -109 in decreasing order.\nAnswer: 4, -109, -476","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 99 - 40. Suppose -11 + u = 3*b. Let a = b - -22. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -67*m**3*x**3 - 25*m**3*x**2*y - 178*m**2*x**3*y - m*x**3*y + 2*m*x**2*y + 4*x**3*y + y wrt m?\nAnswer: -402*x**3 - 150*x**2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let a(d) = 9*d**2 - d + 1. Suppose 6*w - w = 5*g - 20, -5*g = 5*w. Calculate a(w).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -71 and -45211.\nAnswer: 3209981","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*f + 0 = 2*t + 60, t - 21 = f. Let a = f + 30. Suppose x = a + 5. What are the prime factors of x?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 150280435 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -99\/79808 and -55\/1376?\nAnswer: 79808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*r - i = -2*r - 1063 + 1046, 70 = -3*r + 5*i for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -1998 + 8061\/4. Let m = -18 + t. Which is the third smallest value?  (a) -0.01  (b) 2  (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 1059 + -151. Let v = q - 278. What is the units digit of v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 36*l**4 + 4 + 7*l - 38*l**4 + 7 - 4 to the form x*l**2 + y*l**4 + r*l**3 + s*l + h and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Express 252 - 68*x - 252 as i*x + f and give i.\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*p + 30 = 4*m, 2*m - 3*p - 155 = -129 for m.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let d(l) = l. Let a(g) = -12*g**2 - 3*g. What is a(d(m))?\nAnswer: -12*m**2 - 3*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15 = -4*s - 5. Let l = s + 11. Let m = l + 4. What is the remainder when 18 is divided by m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0*m + 5*m - 4*h + 5 = 0, 5*h = 0 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let i(w) = -w**2 + w - 1. Let r(q) = -q**2 - 6*q - 2. Let h(p) = -3*i(p) - r(p). Let n(j) = -j**2. Let d(z) = -h(z) - 3*n(z). Give d(-4).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 598 - 602.98. Let p = z - 0.02. What is the smallest value in p, 1, -1?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 2.3193 - 0.3193. What is the fourth biggest value in 4, 2\/13, d, 3?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 24\/18 + (-3 - -2).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 3.61 - 2.61. Is -2\/49 bigger than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 82*j**2 - 24*j + 24*j - 181*j**3 + 85*j**2 - 167*j**2.\nAnswer: -181*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*j + 54 = -3*j. Let i = 25 + -18. Suppose -n + 5*b = -2*n - i, -b = 2*n - 4. Solve g = -3*d - 11, g = -2*d + n*g - j for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 666571 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Sort -259, 9, 2 in ascending order.\nAnswer: -259, 2, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -890*f**4 + 6281*f**2*t**3 - 2*f*t**3 + 663650*f*t wrt f?\nAnswer: -10680*f**2 + 12562*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 109 + -109.0000057. What is v rounded to six dps?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j\/(j*j**(3\/10))*j\/(j*j**(2\/21)\/j))\/(((j*j**(1\/6))\/j)\/j**1) assuming j is positive.\nAnswer: j**(151\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 59718643 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 + 8 - (21 + (-244 - -260))?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 0*(2 + 15\/(-6)). Let x be (-7)\/(2 + 1\/(-1)). Let h = x - -3. Put z, 4, h in increasing order.\nAnswer: h, z, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 664957961*h**3 - 4049319*h**2 + h - 18 wrt h.\nAnswer: 3989747766","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*z = -2*h + 46, 5*h + 95 = 30666*z - 30671*z for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is (-1 - (-70)\/55) + (-22 - 15257\/(-847))?\nAnswer: -26\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 i and 1 n when two letters picked without replacement from {k: 2, n: 5, i: 3}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 1252\/(-24) + (-3)\/(-18). Let k = z - -55. Solve 4*s = -r + k*r - 12, 0 = r + 4*s + 6 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 2\/(-9) + -1 + 125\/(-45). Let n be -3*(-24)\/20 + 1 + l. Which is the closest to 2\/5?  (a) 0.3  (b) -3  (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from dott. Give prob of picking 1 t and 1 o.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.1 and -10.23.\nAnswer: -1.023","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Divide 430 by 2.\nAnswer: 215","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0 in -5, -2, 3.2, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 161309695 and 115.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 57*l**3 + 603593*l**2 - 393106207 wrt l?\nAnswer: 171*l**2 + 1207186*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: How many tonnes are there in 821.2056ng?\nAnswer: 0.0000000000008212056","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 87449, 175092, 262735, 350378?\nAnswer: 438021","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x(h) = 2*h. Let r(v) be the second derivative of -v**4 + v**3\/6 + 7*v**2 + 5660*v. Give x(r(z)).\nAnswer: -24*z**2 + 2*z + 28","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 1942 and 209596?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*c - 12 = -0, -3*u + 2*c = -14. Suppose -2*g = -4*s - 54, 0*s + 33 = -u*s + 3*g. Let v = 18 + s. What are the prime factors of v?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5*x - 2*x - 7*x + 6*x.\nAnswer: 2*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 11 - -2012110110001120?\nAnswer: 2012110110001201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let a(t) = t**2 + 38*t + 138. Let g be a(-34). Suppose g*s = -24*s + 130. Calculate the lowest common multiple of 19 and s.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -28 + 1 + -4 + 4 + -13 + 11.\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 3\/(-12) + 6\/24. Suppose 4*m = q - 353, v*q - 991 = -3*q - 5*m. List the prime factors of q.\nAnswer: 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1*(-144)\/((-180)\/10)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 392\/(-60)*14625\/975.\nAnswer: -98","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2 - (3 - ((-34)\/(-10) - -2)).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 4 and 26528.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(45) + -3 - sqrt(45))*5 + sqrt(45) + (sqrt(405)*3 - sqrt(405) - sqrt(405))\/sqrt(9))*-4)**2.\nAnswer: -2880*sqrt(5) + 6480","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((k*k**(-1))\/k)\/k**(2\/9))\/(k*k**(-1\/3))**21*((k\/(k\/(k*k**(-2\/5))))**(-4))**(-5) assuming k is positive.\nAnswer: k**(-29\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let g(t) = -103*t - 20*t - 24*t - 48*t. Let q(z) = 4*z**2. Determine g(q(o)).\nAnswer: -780*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 29, 172, 419, 776, 1249, 1844, 2567, 3424?\n\"Answer: h**3 + 46*h**2 - 2*h - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 w and 3 e when four letters picked without replacement from {e: 5, w: 13}?\nAnswer: 13\/306","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 0 - (-4 - -9) - -14. Solve 2*k + 4*t = 0, -c*t - 4 = -5*t for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 569 + 17 + -2 + 6?\nAnswer: 2, 5, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(c) = 40*c**2 + 1 - 41*c**2 + 1. Determine h(-3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 74 divide 22717059?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (2\/4)\/((-3)\/24). Let b(p) = -5*p - 3. Let c be 90\/(-105) - (-82)\/14. Let r(y) = -6*y - 4. Let h(x) = c*b(x) + k*r(x). What is h(-5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2592 a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 0.2, -5, -0.4, -0.05?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Sum 0.4356 and 0.1.\nAnswer: 0.5356","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -295 + 173. Let x = g + 152. Calculate the highest common factor of x and 270.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4 + (sqrt(108)*-2*-4 + sqrt(108))\/(sqrt(800)\/sqrt(8))*-6.\nAnswer: -162*sqrt(3)\/5 - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -1890, -3399, -4924, -6465, -8022, -9595, -11184?\nAnswer: -12789","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 2672 - -d3?\nAnswer: 2755","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (2\/15)\/(3\/(-5)). Let y = 11.7 - 12. What is the second smallest value in z, y, -4?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 22 + 623*b + 2991*b + 2925*b - 22 to y + w*b and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((1 - 4 - 2)*(-6 - 15 + 9) - 2 + 0 + 0)*(-15*g - 2*g - 29*g).\nAnswer: -2668*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-27018)\/11376*7\/((-35)\/(-120)).\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 10*u - 552390 + 552390.\nAnswer: 10*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Does 20 divide 62644685?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand -o**5 - 1 + 1 + (4*o**2 + o**4 - 4*o**2)*(4*o - 2*o + 0*o).\nAnswer: o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.26?  (a) 0  (b) -0.1  (c) 0.3  (d) 6796\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(1584) + -2)**2*-3.\nAnswer: -4764 + 144*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*m + 12 = -3 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let b(x) be the first derivative of 0*x - 13\/3*x**3 - 189 + 1\/2*x**2. Let q = -3 - -4. Calculate b(q).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {d: 13, q: 3, l: 1, e: 2}. Give prob of sequence de.\nAnswer: 13\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*h - 3*b = -0*b + 14, 35*h - 30*h = -2*b - 7 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*a = 4*h - 186, -3*h = 2*a - h + 216. Calculate the common denominator of 7\/21 - a\/15 and -2 + (-71)\/2 + -2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (1\/5)\/(-34 - -33). Sort 1\/4, 5, 33, h in descending order.\nAnswer: 33, 5, 1\/4, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 4*a**3 - 567*a**2 + 1488*a wrt a?\nAnswer: 24*a - 1134","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -0.06, 20\/11, -2.2653?\nAnswer: -2.2653","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 138273 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 1257.4 - 1257.388618. Round k to three decimal places.\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(j) be the second derivative of 3*j**5\/20 - j**4\/6 - 135*j**3\/2 + 7099*j**2\/2 + 7296*j. Find the first derivative of q(a) wrt a.\nAnswer: 9*a**2 - 4*a - 405","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -227 - -231. Solve -5*a = s + 22, 3*s = -s + 3*a + w for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 68\/69069 and 179\/1386.\nAnswer: 414414","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -22 = -d - 2*p, -5*d = p + 54 - 182. Suppose 5*q - 34 = d. Calculate the remainder when (1 - -20)*(-4)\/(3 - 7) is divided by q.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 3 - 5. Let x be (-8)\/(-1) - (-2146)\/(-290). What is the closest to -2\/5 in x, p, -3?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1579389 a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Sort -9, 1, 22\/3, -5, 0.\nAnswer: -9, -5, 0, 1, 22\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*v - 3*d = -29862, 5*v - 20891 - 8979 = 5*d. What is the units digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2256961373 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*f**3 + 3*f**3 - f**3)*(-3*f - f + 5*f) + 5 + 22*f**4 - 10 + 5.\nAnswer: 24*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 65255896229 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -8da4 + -257d?\nAnswer: -b543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -703903 or -703902?\nAnswer: -703902","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*r + 0 - 4 = -2*g, -4*g = r - 8. Suppose 3*q - 3*u = g*u - 20, 5*u = 4*q + 20. Let c be q\/(-2 + (-1 - -4)). Solve c = n + 3 - 1 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 100\/(-40)*(-12)\/(-10)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 338 - -85. Suppose 6*y = -153 + h. What is the tens digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(j) = 2*j**3 + 8*j**2 - 6*j + 3. Let q be p(-7). Let y = q + 371. What are the prime factors of y?\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -1090 + 2028. What is the units digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 188062256.\nAnswer: 2, 11753891","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let n(c) be the second derivative of 1213*c**4\/3 + 2959*c**2 + c - 4252. Differentiate n(j) wrt j.\nAnswer: 9704*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 2068 and 1081.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 58 and 23983?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*h - 840 = -3*v, -4*h = -2*v - 0*h + 564. Find the third derivative of 536 - 267 - f**2 + 2*f**6 - v wrt f.\nAnswer: 240*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (4*n + 2*n**3 - 4*n)*(36 - 36 + 26*n) as a*n**4 + r + k*n**2 + c*n**3 + q*n and give a.\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 0  (b) -326  (c) 0.1  (d) -0.08  (e) -0.03  (f) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -645?  (a) 0.3  (b) 1  (c) 2\/3  (d) 0  (e) 78.75\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 16a946b (base 13) in base 4?\nAnswer: 130011003023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 581 and -0.2.\nAnswer: -116.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {t: 10, l: 2}. Give prob of picking 2 l.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {u: 2, q: 6}. What is prob of picking 1 u and 2 q?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -1819729\/494676 + 1\/17667. Calculate the common denominator of 59\/292 and d.\nAnswer: 2044","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -4371 (base 9) to base 11.\nAnswer: -2470","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -19*k + 22 = -35. Solve k*l = -l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -836454, -1672909, -2509362, -3345813, -4182262, -5018709, -5855154?\nAnswer: -6691597","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 52685441 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ccfffcd. Give prob of sequence cc.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 1223042 - -131?\nAnswer: 1223223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -0.09667 or 11.1?\nAnswer: 11.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*a + 38 = 2*s, -31*a = -9*s + 9*s - 30*a - 8 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 25716*j - 15696.\nAnswer: 25716","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ooooffoofooooofoof. Give prob of sequence fo.\nAnswer: 65\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence gjm when three letters picked without replacement from {y: 3, g: 4, i: 1, j: 7, m: 3}.\nAnswer: 7\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 190062 - 190062 - 12*z**3.\nAnswer: -12*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 24*c - 20*c + 4. Do 2\/31 and c have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 41 divided by 2.\nAnswer: 41\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-3)\/(12\/10)*2. Let t = 0 - a. Find the first derivative of -6*c**3 - t*c**3 - 1 + 3*c**3 wrt c.\nAnswer: -24*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, 5, 47904, -5 in descending order.\nAnswer: 47904, 5, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 51 a factor of 487064?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let t(x) = 7*x**3 + 20*x**2 - 7*x - 5. Let w(a) = -9*a**3 - 23*a**2 + 9*a + 6. Let u(s) = 4*t(s) + 3*w(s). What is u(-11)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 j and 2 p when three letters picked without replacement from spppsxjpppspspspp.\nAnswer: 9\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let j(z) = 2*z**2 + 1155*z + 35063. Give j(-31).\nAnswer: 1180","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 4305 is divided by 59?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let s(z) = 4. Let d(t) = 7. Let i(r) = -3*d(r) + 5*s(r). Let p(k) = -4*k - 12 + 5*k + 16 - 10. Let y(o) = 2*i(o) - p(o). Calculate y(5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*o - p + 36 = -2*p, 2*p = -4*o + 48. Suppose 28*u - o = 24*u. Is (694\/6)\/(u\/9) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -2 + -13a?\nAnswer: -140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 1.06 and 17.\nAnswer: 18.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: 21193 divided by -22\nAnswer: -21193\/22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: 0.2 times -31.385\nAnswer: -6.277","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 o and 1 r when three letters picked without replacement from {o: 11, r: 9}.\nAnswer: 33\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 110 + -108. Solve 4*d - 5*a = -0*a - 30, j*d = -5*a for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 1441, 1375, 1309, 1243?\n\"Answer: -66*b + 1507","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1?  (a) 3  (b) -4\/3  (c) -1.72  (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -16 - -17. Which is the second smallest value?  (a) -0.05  (b) g  (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1 in -2\/7, -1, 0.5, -3, -2442.2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -1830114, -3660230, -5490346, -7320462, -9150578?\nAnswer: -10980694","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w(q) = 99999*q**3 - 10*q**2 + 4*q**2 + 32 - 24 - 6*q. Let r be w(-4). Round r to the nearest one million.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (4\/1 - 45) + 1*2. Is f less than -39?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(512)*-2)\/sqrt(2))\/(sqrt(800)*-1))**2*3 + 1.\nAnswer: 121\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 3, -67, -181, -339, -541, -787?\n\"Answer: -22*z**2 - 4*z + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -75794 - -151597\/2. Factor t + 3\/4*p**3 + 39\/4*p + 6*p**2.\nAnswer: 3*(p + 1)**2*(p + 6)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1503472508?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 16*r**3\/7 - 40*r**2\/7 + 17*r\/7 - 2\/7 = 0.\nAnswer: 1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let c(k) be the second derivative of 0 + 2\/3*k**3 - 2*k**2 + 13*k. Find the first derivative of c(x) wrt x.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (12\/32)\/((-2)\/4). Let s = -2130.2 - -2131. Put 1\/6, 0, a, s in decreasing order.\nAnswer: s, 1\/6, 0, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 16774, 67303, 151510, 269389, 420934?\n\"Answer: -x**3 + 16845*x**2 + x - 71","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 5 a factor of 85?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Divide 1406 by 2.\nAnswer: 703","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 277*x = -330*x + 57*x + 4*x - 19656 for x.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is -7068 at least as big as 19146?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Does 6 divide 1508?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*r**2 - 660*r + 300032 = 0.\nAnswer: -586, 256","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 973854378?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 33 - -13. What is the units digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 386 - 385.9. Which is the closest to 0.1?  (a) -224  (b) o  (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*b + 3*x - 24 = 0, -52 = 5*b - x - 0*x. Let p(w) = -w + 9. What is the remainder when p(b) is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(b) = -b**2 - 339*b - 6985. Calculate s(-22).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*q + 0*q + 8 = 0. Let n(i) = -4 - i**2 + 3*i + q*i - 7 + 14. Give n(4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 61*o - 56*o = 2080. Let g = 878 - o. What is the greatest common factor of 42 and g?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*a - 12 = -4*a. Let r(k) = -2*k - 7. What is the smallest common multiple of a and r(-5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 408226\/60 + (-1)\/(-3). Let p be 6\/(-12)*27192\/(-2). Let j = r - p. Calculate the common denominator of -49\/11 and j.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Total of 0.09407 and 0.\nAnswer: 0.09407","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*p - 4*j = -1, -3*j + 8 = -j. Solve 0 = -2*d - 5 - p for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5599651 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -4 + -1669456?\nAnswer: -1669460","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (0 + -4 + -6*(sqrt(176) - -2*sqrt(176)*5))*-4*-1.\nAnswer: -1056*sqrt(11) - 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 190596.\nAnswer: 2, 3, 7, 2269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((2*sqrt(2268)*-5 - sqrt(2268) - (3 + sqrt(2268)*-2) - (-2*sqrt(693)*2)\/(-1*sqrt(1331) - sqrt(1331))) + 3)**2.\nAnswer: 22378608\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -30*t**6 - 50*t**5 - 43540*t**2 wrt t?\nAnswer: -3600*t**3 - 3000*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: 4 (base 5) to base 13\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put -3\/4, 0.31, 5, 0.08, -12.1, -1 in decreasing order.\nAnswer: 5, 0.31, 0.08, -3\/4, -1, -12.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 250630 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 q and 1 w when four letters picked without replacement from wwqqqqwq.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let d(l) = -6*l - l + 4*l. Let h(w) = -8*w**2. Give d(h(r)).\nAnswer: 24*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let j(f) = -f + 2. Let g(s) = -4*s + 573. Give -g(v) + 5*j(v).\nAnswer: -v - 563","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 388 minutes before 6:40 AM?\nAnswer: 12:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -780 divided by -156?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 4\/15 of a decade in months?\nAnswer: 32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Work out 6976 + -2282.\nAnswer: 4694","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from iaiiiiiiiiii. Give prob of sequence ii.\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -92 + 99. Solve 5*v = 4*w + 32, 2*w - j = 7*w + 2*v for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 535 - 535 - 12*r**2 + 2*r to the form c + a*r + v*r**2 and give v.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -13.2 in -2\/5, -5, 0.1, 4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4 + (-300)\/(5 + -7)?\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: 20211122102 (base 3) to base 2\nAnswer: 100000110111001110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 j and 1 t when three letters picked without replacement from pjpppuhpjppttxtphph.\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Does 119 divide 15760003?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_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: Solve 6 = -w + d, -2*w - 23592*d + 38 = -23589*d for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 22 divided by -436056?\nAnswer: -11\/218028","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 611*-0.4.\nAnswer: -244.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 46126232081 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let u(n) = n + 7. Let w be u(-4). Suppose 26 = -w*i - 34. Let y be (3 - 1)\/(i\/5). What is the third smallest value in 0, y, -4\/5, 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(d) = -d**3 - d**2 - 3*d - 4. Is m(-3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 334 - 946*t**4 + 219 + 432 + 35 wrt t?\nAnswer: -3784*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1430744 divided by 3?\nAnswer: 1430744\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 37 + -25. Let d(x) = -12 - x + c. Let w(r) be the first derivative of r**2 - 1. Calculate w(d(y)).\nAnswer: -2*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*v + 2*g + 4 = 0, 4*g - 12 - 4 = -4*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*q + 3*q = 0 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*w = 2*w. Suppose -4*o + w*o = -900000. Let s be 5*24\/(-9)*o. What is s rounded to the nearest 1000000?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-132411)\/(-42218))\/((-3)\/(-11))?\nAnswer: 23\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort -245, -7, -182.\nAnswer: -245, -182, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: How many kilograms are there in 54\/5 of a tonne?\nAnswer: 10800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: -10462101 (base 7) to base 16\nAnswer: -dd2b9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 8\/44 - 1638\/55. Let u = 29 + o. Which is greater: u or 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 843859 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 159 and 0.97.\nAnswer: 154.23","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 5.86916*29.\nAnswer: 170.20564","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -63 = -3*h + 3*v, -5*h + 0*v + 89 = 3*v. Let r = 34 - 16. Suppose 2*l - 2*n - r = 0, -l + 5*n = -2 - 23. Calculate the remainder when h is divided by l.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*a**5\/9 + 74*a**4 + 896*a**3\/3 + 2696*a**2\/9.\nAnswer: -2*a**2*(a - 337)*(a + 2)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 59\/2691 and 161\/312.\nAnswer: 21528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Sort -7645079, -4, 0.2.\nAnswer: -7645079, -4, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let l(f) = 1752*f**2 + 49053*f + 4. What is l(-28)?\nAnswer: 88","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -1\/6  (b) -4\/9  (c) -17  (d) -0.31\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let s be ((2 + -2)\/(-2))\/2. Let m be -2*((-55)\/(-10) - 5). Let q be 4 + (-4)\/4 + m. Solve -d + 3*d - q = s for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -105 - 85 = -19*b. Suppose t + 0*t + 10 = -3*l, t - l - 10 = 0. Solve -r + b = 4*s + r, r = t*s - 2 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 8397 and 303.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 73 - 42. List the prime factors of d.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (2 - 2 + 2*j**3)*(-140*j + 34*j - 270*j) to d*j + r*j**4 + y*j**2 + p + m*j**3 and give r.\nAnswer: -752","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 525?\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*y - 182 = -5*f, f - 5*y + 10 = 28. Suppose 470 = 5*b + h, 4*b - b - 310 = 5*h. What is the greatest common divisor of b and f?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -362 + 80 = -3*f. Let g = f + -173. Let d = 40 - g. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*g + 60 = n, 5*g - 113 - 77 = -4*n. Suppose 3*j - n = 88. 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: Let l(f) = -4*f + 7. Let y = -138 + 151. Let q(m) = 30 + 2*m - 3*m - y - 15. Calculate 6*l(v) - 22*q(v).\nAnswer: -2*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-2)\/6*(-150)\/(-20)*-2. Let i be (8\/10)\/(7*t\/175). Solve 5*f - 5 = 5*d, 3*d + f = 7*d + i for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 9 a factor of 26631?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 11 - 11. Let s = 3 + g. Suppose 3*y - 5*y + 4*f + 112 = 0, -3*f + 132 = s*y. Does 15 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:24 AM and 12:52 PM?\nAnswer: 328","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2\/3 in 2\/5, 0.3, 115, -4, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let i be -3 - 1*(-3)\/((-6)\/(-14)). Suppose -i*y - 32 = -212. Let s be y\/(-2)*(-84)\/(-441). Which is greater: s or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -43.6 and -2985.\nAnswer: 130146","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"}
{"text":"Question: Rearrange (2 - 1 + 0 + (-7 + 4 - 6)*(1 + 0 - 4))*(-2*m - m - 4*m) to the form r + g*m and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-3)\/2 + 24\/16. Suppose 3*f - 30 = -u*f. Is 8 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -3 - -6. Let r = 27 + -27. Put r, d, 1 in decreasing order.\nAnswer: d, 1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-3 - -3 - -1)\/1. What is the units digit of (18\/(-15))\/(u\/(-25))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose m = -2*s + 74, -33 = 3*m + 5*s - 251. Let z = 89 - m. What is the greatest common factor of 92 and z?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -19 + 25. Solve 2*c = 4*c - t for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -0.33 + -2.67. Let g(a) = 235*a - 247*a - a**3 + 13*a**2 + 0*a**3. Let l be g(12). What is the third biggest value in k, l, 4\/3?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let r = 62 - 60. Let c(q) = 5 + 2 - 6 + r*q - 6. Let g(s) = 2*s - 1. Let p be g(1). Let z(l) = -1. Give p*c(a) - 2*z(a).\nAnswer: 2*a - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let y(t) = t**3 - 7*t**2 + 3*t + 10. Let x be y(6). Let c = -5 - x. Suppose 4*g = -2*k + 1 + 5, -3*g - k = -6. What is the highest common divisor of g and c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(u) = -275*u**2 + 173*u - 26. Give r(1).\nAnswer: -128","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: -0.0448+12539\nAnswer: 12538.9552","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -12582518 - 4*z + 6291262 + 6291256.\nAnswer: -4*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-8*g + 11*g - 4*g)*(-3*g + 2*g - g + 1)*(2*g**3 + 0*g**3 - 3*g**3).\nAnswer: -2*g**5 + g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -41821*n + 13934*n + 13947*n + 13938*n.\nAnswer: -2*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let s(i) = -i**3 + 14*i**2 + 14*i + 21. Let o be s(15). Suppose 2*w = -w + o. Is 2\/(6\/57) - w a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(4860)*2*-2 + sqrt(4860))\/((sqrt(84) + 4*sqrt(84)*-3)\/sqrt(7)).\nAnswer: 27*sqrt(5)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Round -44.81789 to the nearest 10.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*m - 5*m = -y - 11173, -m - y + 3723 = 0. What is the thousands digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 7222439 is divided by 1444479.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 9125 to the power of 1\/2, to the nearest integer?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 178*g*t**6 - 48*g*t**2 wrt t.\nAnswer: 21360*g*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 118*l**2 + 99*l**2 - 224*l**2 + 17*l + 6*l**3 - 2 to the form z + t*l + i*l**3 + m*l**2 and give m.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-2 + (-1*sqrt(425))**2)*-6 + (sqrt(425) - (sqrt(425) + 0 - sqrt(425)))*2 + 5)*-6.\nAnswer: -60*sqrt(17) + 15198","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ggttgtgxggtttxttx. Give prob of sequence xxxt.\nAnswer: 1\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 1589521 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 700, 698, 696, 694, 692, 690?\nAnswer: 688","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 167300 is divided by 6692.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 21, 103, 317, 729, 1405?\nAnswer: 2411","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q(z) = z**2 - 13*z - 56. Let a be q(17). Let i be (-15 + a)\/((-2)\/82). Suppose 0 = 6*c - 57 - i. What is the least common multiple of 2 and c?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 13542336 a multiple of 1383?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let q(v) = -v + 22. Let a be (-2)\/10 - (-5)\/25. Calculate the remainder when q(a) is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -27 - -41. Let a = -13.8 + t. Let x = -1150 - -1153. Put a, 0.4, x, 3\/8 in decreasing order.\nAnswer: x, 0.4, 3\/8, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -w - 4*w + 15. Let a(t) = -53*t - 15. Let b be a(w). Let u = 249 + b. Is 25 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in 5, 0.0297, 0.5, 3\/2, -6, 0.1?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3 - 10062.\nAnswer: -10059","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 12287937 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*g = -0*g - 5*f + 1559, 5*g - 4*f - 1918 = 0. Let p = g - 389. Let n(w) = -w**3 - 2*w**2 + 5*w + 3. What is n(p)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i**(-7)*i\/(i**(-12)\/i))**(15\/4) assuming i is positive.\nAnswer: i**(105\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: -26 (base 10) to base 13\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -47\/13376610 and -181\/9990.\nAnswer: 13376610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let g(l) = l**2 + 14*l + 28. What is g(-10)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -466460 + 3?\nAnswer: -466454","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Express 7*w**4 - 4*w**4 + 49 - 3*w**4 - 47 - 15*w**2 + w**4 as i + z*w**4 + q*w**2 + h*w**3 + j*w and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -21 divided by -87.\nAnswer: 7\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(55)*-2*6)\/(sqrt(500)*-2).\nAnswer: 3*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let y(s) = 2*s**2 - 2*s - 1. Let m be -4 - -3 - 1*-5. What is the tens digit of y(m)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 1891958942 to the nearest integer?\nAnswer: 1237","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let g(k) = -k**3 + 6*k**2 + 3*k + 30. Let x be g(7). Solve -5*m = -x - 8 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -u**2 + 23373*u - 303680.\nAnswer: -(u - 23360)*(u - 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1*((1*(sqrt(52) + sqrt(208)\/sqrt(4)) - sqrt(52))\/(sqrt(100) - (sqrt(100) - -1*sqrt(100))) + 3).\nAnswer: -3 + sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let k(d) = 3*d**3 - d**2 - 5*d - 7. Determine k(-2).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*x - 293*c + 288*c = 16769, -x + 5591 = -3*c. Does 44 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 0 - 133*m**3 + 34*m**3 + 68*m**3 + 1 + 33*m**3 - 533*m + 2*m**2 to h + a*m**2 + s*m + f*m**3 and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 238 - 2*c**2 + 2*c - 82 - 82 + (-2*c + 5*c - 2*c)*(0*c - 6*c + 4*c) to the form s*c + z + w*c**2 and give z.\nAnswer: 74","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 + 0 + 3)*(71*i**3 - 2*i**3 - 264*i**2 - 70*i**3).\nAnswer: -3*i**3 - 792*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Sort -68, -3\/2, -17.\nAnswer: -68, -17, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: (-8 - 7) + (-22 - 2) + 14\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a(t) = t**3 + t**2 - 6*t + 2. Calculate a(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let d(a) = -151*a + 3. Give d(1).\nAnswer: -148","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let a(n) be the second derivative of -n**4\/3 + 5*n**3\/6 + 29*n**2\/2 - 8193*n. What is a(-4)?\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 14 - 12 = -2*f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Put -92, 1\/8, -171 in descending order.\nAnswer: 1\/8, -92, -171","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 5 - 6. Let i be (0 - -4)\/(-3 + 2). Which is the nearest to 1\/4?  (a) j  (b) i  (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(z) be the first derivative of 3*z**2\/2 + 7*z + 1270. Determine j(13).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 12745 is divided by 4245?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -5, 14, 71, 184, 371?\n\"Answer: 3*a**3 + a**2 - 5*a - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is fourty-two fifths of a microsecond in nanoseconds?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z(s) be the second derivative of s**7\/21 + 17*s**6\/30 + 3*s**5\/10 - s**4\/6 - 227*s**2 - 2*s + 118. Find the third derivative of z(h) wrt h.\nAnswer: 120*h**2 + 408*h + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(t) = -t**3 - 2*t**2 + 35*t - 154212. Let v be h(0). What is v rounded to the nearest one thousand?\nAnswer: -154000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(j) = 3*j**2 - j - 2. Is g(-2) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 18301 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*y - 2*t + 4096 = 0, 2*y = -52*t + 48*t + 2744. What are the prime factors of y?\nAnswer: 2, 3, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 6 + -10. What is the units digit of 29 + (-3)\/(3\/g)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 23593, 47274, 70955, 94636, 118317, 141998?\nAnswer: 165679","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-38 - (17 - (42 + -20))) + 11.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-5)\/((-1 + 0)\/(8\/20)). Solve -8*z + 4*z = -5*g - 6, -3*g = -b*z + 4 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4438329191 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Convert 14204233 (base 5) to base 12.\nAnswer: 713ab","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(405) + -4 + sqrt(5) + (5*sqrt(50)\/sqrt(10))**2.\nAnswer: 10*sqrt(5) + 121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let n(x) = -3*x**2 + 115*x - 33. Give n(39).\nAnswer: -111","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.1 in 98, -6, 66, 0.1707?\nAnswer: 0.1707","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -13b06 + -a?\nAnswer: -13b12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let i be -1 + 1*4 + (-10 - -10). Let d(y) = -y**2 - 4*y - 2. Let z(q) = -q**2 - 3*q - 2. Let n(h) = i*z(h) - 4*d(h). Give n(-6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many tonnes are there in 997356.6 grams?\nAnswer: 0.9973566","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: -12 - ((-14 - 6) + 11)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k(f) = -14*f + 317. What is k(22)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*o - 9 + 1 = -4*n, 2*o = -4. Solve n = -y + 1, 0 = -8*i + 3*i - y + 16 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(n) be the third derivative of 0 - 5\/3*n**3 + 7\/24*n**4 + 16*n**2 + 0*n - 1\/24*n**5. Let o(x) be the first derivative of i(x). Differentiate o(j) wrt j.\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let k(p) be the second derivative of p**4\/12 + 5*p**3\/6 + p**2 - 2*p. Let l be k(-5). Solve -3*u - 2*b = 3, 2*u + 0*u + l*b = 0 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 50 = -6*o + 8. What is the tens digit of (-558)\/o - (-34)\/119?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -6*z**3 + 34*z**2 - 34*z**2 + 2*z**3.\nAnswer: -4*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1626 is divided by 1596.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*n + 13 - 1. Suppose 3*m = -2*m + 4*u + 37, -m + 17 = -n*u. Suppose -11 = -m*z + 9. List the prime factors of z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 98.64621l?\nAnswer: 98646.21","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 4.42263391 rounded to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 235536512?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 3488 - 3490. Let o = 5.92 - 6. Which is the second smallest value?  (a) w  (b) 0.3  (c) -3  (d) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 81648 and 498204.\nAnswer: 756","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 442015668 to the nearest integer?\nAnswer: 21024","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Factor 152\/3*u + 1\/12*u**4 - 224\/3 - 10*u**2 + 1\/6*u**3.\nAnswer: (u - 4)**3*(u + 14)\/12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (2320\/70)\/(-29) - (-3141)\/(-63).\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -430 + 16?\nAnswer: -415","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let j be ((-12)\/14)\/(2\/14). Calculate the common denominator of (1\/(-5))\/(j\/475) and -7\/9.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 43, 35, 15, -23, -85, -177, -305, -475?\n\"Answer: -f**3 - f + 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -106 - (-4 + -10 + 8) - (-14 - (-1 + -7)).\nAnswer: -94","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-5)\/35)\/(6\/(-21))?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 51, 110, 205, 348, 551, 826, 1185, 1640?\n\"Answer: 2*m**3 + 6*m**2 + 27*m + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -23 + 250?\nAnswer: 224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 442 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 3809, 7612, 11417, 15224, 19033?\nAnswer: 22844","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*l - 4*h + 26 = 0, -4*h + 23 = -l + 2*l. Suppose 8*r + 5 = l*r. What is the units digit of r\/(-6)*8*3?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 95657 is divided by 768?\nAnswer: 425","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in x**3 + 10*x**3 + 202*x - 1 - 202*x + 18.\nAnswer: 11*x**3 + 17","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3*d**3 + 830 + d**3 - 5*d**3.\nAnswer: -d**3 + 830","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = f - 2*f - 54. What is the tens digit of 3\/(-6) - f\/4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(r) = -r**3 + 14369*r**2 + 14370*r. Determine y(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -23.9 - 101.1. Let c = 124.99931 + z. What is c rounded to four dps?\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*u - 634 = -g, -g - 6*u + 638 = -3*u. Does 31 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(s) = 23*s**2 - 2*s - 2. Let c be k(3). Suppose -3*f = 2*v + v - 147, -4*f + c = 5*v. Calculate the remainder when 90 is divided by f.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is eighty-one halves of a litre in millilitres?\nAnswer: 40500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {y: 1, d: 2, v: 1, t: 5, z: 3, c: 3}. What is prob of picking 3 t and 1 d?\nAnswer: 4\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let a be -4 + 26 - (0 - -2). Suppose y - 52 = -a. Suppose 0 = -5*l + 3*x + 23, -5*l - 2*x = -75 + y. Is 3 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-2 - 2 + 7 + 16*m)*(-1362*m + 594*m + 586*m) in the form o*m + i + z*m**2 and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1 + sqrt(3) + -5 + sqrt(30)\/(sqrt(40)\/sqrt(4)).\nAnswer: -4 + 2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 14287 - 94*o - 14287.\nAnswer: -94*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -g + 4*z = 2*g, 3*z + 11 = 5*g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let p(x) = -x**2 - 2*x + 7. Let q be p(0). Suppose -64 = -q*r + 13. What is the units digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -10a - 212?\nAnswer: -320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 307183336701 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {y: 7}. Give prob of sequence yyy.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let k(i) = -i**2 + 4*i + 3. Let c(q) be the third derivative of -q**5\/30 + q**4\/4 + 5*q**3\/6 - 188*q**2. Determine 5*c(t) - 8*k(t).\nAnswer: -2*t**2 - 2*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*h - 12 = -0*h, 0 = m - 4*h - 12. Let w = m + -31. Let a(j) = -j**2 - j + 3. Let f be a(w). Which is bigger: f or -8?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 13590417.\nAnswer: 3, 257, 17627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-6)\/(25 - -5) + (-32)\/192*9 + 3?\nAnswer: 13\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -110201211 - -12?\nAnswer: -110201122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 24 and 7537800?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 2026 + -2026. Let a be (3 - (3 + 0))\/(-1). Suppose -2*w - w - 54 = a. Which is bigger: t or w?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.4 + 9.68.\nAnswer: 10.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Sort 47, 6, 5, -4, 3, 856 in decreasing order.\nAnswer: 856, 47, 6, 5, 3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 17890004 and 44.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:06 AM and 6:55 AM?\nAnswer: 49","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let c(l) = l**3 - l**2 + 1. Let k(y) = -3*y**2 + 2*y - 14. Calculate -2*c(x) + k(x).\nAnswer: -2*x**3 - x**2 + 2*x - 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 q and 1 a when two letters picked without replacement from {a: 5, n: 1, d: 2, q: 1}?\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 37742?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -1854 and 0.098?\nAnswer: -181.692","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve k + 14 = -42*v + 37*v, -8 = 4*v for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is -60102174 divided by 118779?\nAnswer: -506","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 4048415, 4048414, 4048413, 4048412, 4048411?\n\"Answer: -z + 4048416","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Does 6 divide 115364\/22 + 952\/136*4\/154?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 11 and 15620979?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many hours are there in 3833.2044 milliseconds?\nAnswer: 0.001064779","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 2179 to the power of 1\/2, to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*v - 2*v + 301*l - 296*l + 15 = 0, l = -2*v + 6*v + 3 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let h(f) = -2*f + 25. What is h(12)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -19203 - -19210. Solve 5*l = -2*m, 9*l = 5*l - 3*m + w for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.1 in 0.1, 14, -0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 59\/3623730 and -43\/152900.\nAnswer: 36237300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 + 0*c + 3*c - 5*c)*((0 + 1 + 1)*(-1 - 1 + 1) + 1 + 0 - 2 - 31 + 8 + 45).\nAnswer: -38*c - 38","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let a be ((-12)\/4)\/(9\/(-12)). Suppose 3*d + d = 2*s + 4, -a = 2*s. Suppose -3*w + 18 = 5*t - 0, 2*t - 8 = -2*w. Solve -t*v + d*v = -3 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4757563?\nAnswer: 43, 110641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 20 divided by -83455.\nAnswer: -4\/16691","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 825893?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -1064544040 + -6?\nAnswer: -1064544046","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Does 244 divide 271150?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 138310873?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let i(c) = -c + 4. What is the remainder when i(-4) is divided by (16 - 10)\/(8*6\/8)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the billions digit of 1174801096?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let s(z) = -2*z**3 - 2*z**2 - 2*z - 2. Let w(d) = 2*d - 53. Let k be w(25). Calculate the remainder when 99 is divided by s(k).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 56*j**3\/3 + 820*j**2\/3 - 3696*j - 2484 = 0. Calculate j.\nAnswer: -23, -9\/14, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Express c**3 - 2*c**2 + 2*c**2 + (c - 5*c - c)*(-10*c + 4*c**2 + 10*c) in the form t*c + y + f*c**2 + d*c**3 and give d.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 132 + -75. Suppose 0 = 10*j + 503 + p. Let m = -1905\/34 - j. Which is bigger: m or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3 + ((sqrt(240) - sqrt(60))*-3)\/((sqrt(84)*-3)\/sqrt(7)) + 1.\nAnswer: sqrt(5) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*x + 2*u = 1528, -2*u + u - 762 = x. Is (x\/28)\/((-2)\/8) a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-5 + 4)*(-4)\/2. Suppose 0 = -u*j + 3*j. Solve -2*x + j*x + 2 = 0 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*v + 20 = j, -134*j + 10 = -130*j + 2*v for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 3535 + -3532. Which is the third biggest value?  (a) 1\/2  (b) -56  (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 0.006 - -0.494. Which is the closest to 1\/3?  (a) 3\/4  (b) y  (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are -247\/15593 and 0 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -16*q = -26*q + 40. Suppose -3*s - 709 + 14763 = q*i, 5*i + 20 = 0. Round s to the nearest one thousand.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -1211, -2648, -4083, -5516, -6947, -8376?\n\"Answer: f**2 - 1440*f + 228","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence mmf when three letters picked without replacement from {f: 1, m: 2}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let s(l) = -l. Let o be s(-1). Let q = 27 - 6. Suppose 0 = 2*t + t - q. What is the highest common divisor of t and o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 48*f + 42\/5*f**2 + 40 + 2\/5*f**3 = 0 for f.\nAnswer: -10, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 83*j**3 - 22*j**3 - j**3 + 39*j**3.\nAnswer: 99*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -12 - -17. Let q be 56\/35*u\/2. Let z = 8 + -5. Solve r + 2*r - z*k = -21, 5*r + 32 = q*k for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1099807?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is (-18591063)\/(-627) + 4\/22 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(k) = -2*k**3 - 4 - 2*k + 5*k + 2*k**3 + k**3 + 5*k**2. Let a be b(-3). Suppose -102 = -a*i + 4*t + 167, 3*t - 12 = 0. What are the prime factors of i?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 2.384945083 to 4 dps.\nAnswer: 2.3849","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = g - 5. Suppose -g*x = 3*f, 3*x - f = -0*x. Suppose -4*k = -10*k + 18. Solve -2*u - k*u - 5 = x for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand z + z + 0*z + (-4 + 1 + 0)*(398*z + 699*z + 1188*z + 328*z).\nAnswer: -7837*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -36*m + 16*m = 0 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let m(n) be the first derivative of 0*n + 8\/3*n**3 + 0*n**5 + 0*n**4 - 1\/3*n**6 + 5 + 0*n**2. What is the third derivative of m(l) wrt l?\nAnswer: -120*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, -0.1, -4650 in decreasing order.\nAnswer: 3, -0.1, -4650","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Do -40371 and 200.6 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let t(a) = -2*a + 217. Let n(w) = 8*w**2. Give n(t(x)).\nAnswer: 32*x**2 - 6944*x + 376712","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let n(s) = s**2 - s + 1. Let x be n(0). Let i be -2 - (0 + -1*(2 + x)). What is the greatest common factor of i and 11?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -35241 (base 6) in base 16?\nAnswer: -13c9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*u = 2*g + 2, 4*u - 11 = -4*g + 17. What is the third derivative of 5*j**3 - 7*j**3 + 10*j**g - 14*j**2 wrt j?\nAnswer: 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*s + 6*s = -6. What is the hundreds digit of (755 - -4 - -5)\/s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: -5 - (-6 - -3) - 3 - 2\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 458027115.\nAnswer: 3, 5, 7, 13, 307, 1093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 503 + -502.999997884. What is t rounded to 7 decimal places?\nAnswer: 0.0000021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 44*w**2 - 24*w**2 - 22*w**2 - 26*w**2 + 29*w**2.\nAnswer: w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -59739\/8 - -7480. Let w = n - 49\/4. Which is smaller: w or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3 = 6*l - 9. What is the third derivative of 1569*q + 15*q**l + 21*q**4 - 1569*q wrt q?\nAnswer: 504*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 11073990 is divided by 842.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*d + 3 = 117. Let s = d + -42. Calculate the greatest common factor of s and 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(q) be the third derivative of -q**5\/15 - q**4\/24 - 15*q**2 - 3*q. Let r(i) = 2*i**2. Determine r(k(w)).\nAnswer: 32*w**4 + 16*w**3 + 2*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence vd when two letters picked without replacement from {f: 5, d: 4, w: 1, v: 4, p: 5}.\nAnswer: 8\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence tbtt when four letters picked without replacement from tttttbttbmttbtt?\nAnswer: 33\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let n(v) = 114*v**3 - 5*v**2 + 395*v + 5. Let l(r) = -22*r**3 + r**2 - 1. What is -5*l(j) - n(j)?\nAnswer: -4*j**3 - 395*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -2369, -3093, -3819, -4547?\n\"Answer: -b**2 - 721*b - 1647","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2?  (a) 248  (b) 0.4  (c) 1912\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -345 + 442. Let b(l) = l**2 + 29*l - 29*l - v*l**2. Let h(g) = -2*g. What is h(b(w))?\nAnswer: 192*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -18, -45, -82, -129, -186, -253?\nAnswer: -330","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 20445489?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let b**2\/11 + 397*b\/11 - 798\/11 = 0. Calculate b.\nAnswer: -399, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 53588802, 53588801, 53588800, 53588799, 53588798?\nAnswer: 53588797","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify d\/(d**13*d)*d*d\/(d\/(d*d**(-6)*d)*d*d)*(d**(1\/3))**1 assuming d is positive.\nAnswer: d**(-53\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let x(t) = -t**3 + 5*t**2 - 5*t + 2. Suppose 2*d - 18 = 3*m - 7*m, -3*m + 11 = -d. Calculate x(m).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -13, 6, 1, 2\/85, -1\/7 in descending order.\nAnswer: 6, 1, 2\/85, -1\/7, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*p - 1885 - 505. Suppose 8*y - 590 = 3*y + 5*g, 0 = 4*y + 2*g - p. Is 121 equal to y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4095*f + 655*f + 1718*f + 1719*f.\nAnswer: -3*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let u(x) be the third derivative of -x**6\/40 - x**5\/60 + x**4\/12 - x**3\/6 + x**2. Let s = -25 - -26. Give u(s).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(n) = -n + 1. Suppose 0 = -u - 2*u - 3. Let o(p) = p + 5. Let i(j) = u*o(j) + 4*h(j). Let t be (-25)\/15 + 2\/3. Determine i(t).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*j = -4*a + 261476, -149 = 4*a - 141. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 8244 (base 9) in base 10?\nAnswer: 6034","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 7262?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*c = 3*s + 2*s - 12, 0 = -4*s - 3*c - 9. Put -3, s, -2 in ascending order.\nAnswer: -3, -2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 160246.\nAnswer: 2, 19, 4217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (0\/(1 - 0))\/2. Let i = -566.1 - -537.1. What is the nearest to s in 0.3, -4, i?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 10 * -866.\nAnswer: -8660","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1*-3*(-14350 + -14 + -23).\nAnswer: 3, 14387","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.7232159 decades to months.\nAnswer: 86.785908","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 59550, 119148, 178746, 238344, 297942?\nAnswer: 357540","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f(l) = 1487*l + 2569. Let h(b) = 754*b + 1285. Let c(y) = 6*f(y) - 10*h(y). Differentiate c(v) wrt v.\nAnswer: 1382","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5 + -2 + sqrt(117) + -5 - (-5*(sqrt(143) - (sqrt(143) - -2*sqrt(143))))\/((sqrt(110) - sqrt(110)*2)\/sqrt(10) - sqrt(11))) + -2.\nAnswer: -4 + 8*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Total of -0.0134 and -9021821392.\nAnswer: -9021821392.0134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: -6023*-2\nAnswer: 12046","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*q - 5*i + 103 = 0, -4*q + 132 - 38 = -2*i. Let l = q + -103\/4. Let k = 5 + -2. What is the biggest value in k, -1\/2, l?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 1117431 + -687431. What is g rounded to the nearest 100000?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 22357397 to the nearest ten thousand.\nAnswer: 22360000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-32)\/18 + (-2)\/9. Let m be (130\/(-312))\/((-5)\/2*(-29)\/(-29)). What is the third smallest value in 0.06, u, m, 0.5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -1\/4 and 3\/(-175)*5\/(-22)*262\/(-6).\nAnswer: 1540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 2\/11  (b) 0.07  (c) -2\/43  (d) -0.4  (e) 0.021  (f) 81\/4  (g) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 30*a - 18*a - 132. Solve 32 = 7*d + a for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -239814, -240147, -240480?\n\"Answer: -333*i - 239481","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x(z) = -28*z**2 + z + 9*z + 18*z**2 - 8*z**3. Let n be x(-10). What is n rounded to the nearest 1000?\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -480 + 492 - (1 + -2 + 38)?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 t and 1 e when two letters picked without replacement from gpjpgtne?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {p: 4, a: 2, h: 2}. What is prob of sequence pa?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let u(x) = -x**2 - 3*x + 3. Let v(f) = 15*f - 4. Let n be v(10). Let t = 96 - n. Let g be 6 + 35\/(-6) + t\/12. Give u(g).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -z**3 + 0*z**3 + 0*z**3 + (3*z**2 - 3*z**2 - 2*z**2)*(-1 + 1 - z) - 15*z**2 - 431*z**3 + 217*z**3 + 211*z**3 to c*z**2 + j*z**3 + a + y*z and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let u(a) = a**2 + 7*a + 3. Let z(c) = -c - 16. Let d be z(-9). Let f be u(d). Suppose -401*p - 29*p = -3520 + 80. Solve f*l = l + p, k - 3 = -2*l for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -6994 + 7469. Calculate the smallest common multiple of f and 2.\nAnswer: 950","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -22*v + 39*v = -3*v + 100 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many hours are there in 893685.7 weeks?\nAnswer: 150139197.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 2713 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(1584) + ((1*sqrt(1584) + sqrt(1584))*-1 - sqrt(1584)) + sqrt(1584))**2.\nAnswer: 1584","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -26696, -26627, -26504, -26321, -26072, -25751, -25352, -24869?\n\"Answer: t**3 + 21*t**2 - t - 26717","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*r + r + 1. Let s(m) = 32*m**2 + 2*m - 1. Let k be s(1). Let j = -65\/2 + k. Which is the smallest value?  (a) -3  (b) r  (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-1 + 8 + 1)*(2 + 0 + 0)*(-6*k + 0 + 0) to the form p + r*k and give r.\nAnswer: -96","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Find o, given that 18*o**4\/5 - 23532*o**3\/5 - 22026*o**2 - 102372*o\/5 + 47232\/5 = 0.\nAnswer: -3, -2, 1\/3, 1312","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 228 and 264660?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: -424a058 (base 12) to base 2\nAnswer: -101111110101111111000100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (b**4\/(b**(-3\/10)*b*b))\/(((b**(1\/2)*b*b*b)\/b)\/b*b**1*b*b) assuming b is positive.\nAnswer: b**(-11\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 21\/16 and -103\/38.\nAnswer: 304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1156 (base 12) to base 6.\nAnswer: 12550","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -16*t + 31 + 1. Suppose 2*a - 16 = -t*a, -3*a = -v - 11. Solve -7 = -3*z - v for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -9\/239 - -3147\/7409. Is 1 greater than y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3845*d + 3847*d - 8. Solve -2 - 2 = -d*c + 4*n, 0 = -5*c - 3*n + 21 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*d + 11*d = 135. Suppose 0*n - o + d = 4*n, n = -2*o + 9. Solve v = 2*v - n for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 634 to the nearest one hundred.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2 = -2*n - 0, l = 4*n - 7. Let s(b) = -14 - 22 - 10*b + 10. Let h be s(l). Solve -3*g - h = g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 2762 - 27697\/10. Find the common denominator of y and 26\/11.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 6 + 9 - 9 - 2 + 6*x.\nAnswer: 6*x + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 712 and 178?\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is -54 (base 15) in base 12?\nAnswer: -67","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 10*t + 184 - 194 = 0 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is -21294 divided by -507?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 5\/((-5)\/2) + 4. Suppose 0 = -l*d + 69 + 49. What are the prime factors of d?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -3\/2060 and 26\/71.\nAnswer: 146260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 69606288 to the nearest integer?\nAnswer: 8343","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -0.36 and -107760969582?\nAnswer: 107760969581.64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 23\/40840 and -63\/2.\nAnswer: 40840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 29\/2478790 and 11\/18590925?\nAnswer: 37181850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 - 1 - 1)*(2 + 0 + 1)*((10 - 3 + 1)*(-2*f - 3*f + 3*f) + 4*f + f - 2*f - 2*f + 1 - 1 + (-1 - 2 + 0)*(0 - f + 0)).\nAnswer: 108*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 691*c - 686*c = 50. What is the remainder when 630 is divided by c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -5\/105468 and 19\/18309.\nAnswer: 37863012","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Factor d**3\/10 + 14*d**2\/5 - 6*d.\nAnswer: d*(d - 2)*(d + 30)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*v - 2*h + 3858 = 0, -3*v - 3*h = -8*v + 4795. Let a = 4836 - v. What is a rounded to the nearest 100?\nAnswer: 3900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose o = 20 + 4. Suppose 5*m + o = 3*m - r, -4*r = 5*m + 54. Let a be (-122)\/(-14) + m\/(-49). Solve -a - 6 = -3*y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -67*p - 23*p - 10*p + 92*p**2 + 40*p wrt p?\nAnswer: 184","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 257, 1023, 2297, 4079?\n\"Answer: 254*c**2 + 4*c - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -17\/36981 and -41\/84.\nAnswer: 147924","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Product of 23486559 and -2.\nAnswer: -46973118","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 30383525?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let n(u) = -4*u**3 - u**2 + u - 2. Let h be n(-2). Let i = 12 + h. Suppose 0 = -5*j + i - 6. Is j bigger than 8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"}
{"text":"Question: Solve 10*y + 38*y - 20999 = -23159 for y.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 63 and 14?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 5393?\nAnswer: 5393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 100?  (a) 2\/7  (b) 0.02  (c) -3  (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*r = 2*g, -5*r - 41*g = -6*r - 38*g. Let l be 2\/(-3)*(2 + 1). Let y be ((-5)\/4)\/((-2)\/8). Sort r, 17, y, l.\nAnswer: l, r, y, 17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 x and 1 b when two letters picked without replacement from {x: 3, b: 9, n: 5, g: 1}.\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand (38*d + 37*d - 83*d)*((-1 + 1 - d)*(1 + 0 + 1) + 2*d - d + 0*d + 2*d - d + d - 3*d + 5*d - d).\nAnswer: -16*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 3632?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 400*a = -202*a - 317*a - 13785 for a.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: -12 + 1 - (-773 - -749)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5*(((sqrt(264)\/(sqrt(8)*1) - sqrt(33))*1)\/(sqrt(1100) + -4*sqrt(1100)*-4 + sqrt(1100)))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let q(s) be the third derivative of -11*s**5\/60 - 2*s**3\/3 - s**2. Let f(j) = -193*j + 101*j + 91*j. What is f(q(z))?\nAnswer: 11*z**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let z(s) = -s**2 + 11*s + 14. Suppose -28 - 245 = -5*h - 4*b, -4*h - 2*b = -216. What is the remainder when h is divided by z(11)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(p) = -7*p**2 - 30*p - 6. Suppose -13*g - 20 = -8*g. Let h be k(g). Solve -3*c + 3*j + h = -4, -15 = -5*j for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(s) = s**3 + 8*s**2 + 4*s - 17. Let w be a(-7). Solve 5*y + w = -16 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be ((-56)\/6)\/(-4) + -2. Let o = -3\/26 + 119\/130. Suppose 2 = 12*w - 34. Which is the closest to w?  (a) z  (b) 2  (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(n) = -300*n**3 + 6*n**2 - 32*n - 137. Is w(-6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 22 divide 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let y be -6*7\/(-231)*(-1)\/2. Which is the biggest value?  (a) y  (b) 0  (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 15163\/75 - 1011\/5. Let x(t) = 51*t + 1836. Let c be x(-36). Is u at least c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence szz when three letters picked without replacement from {s: 2, z: 2}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*q - h = 15, -4*h - 17 = -2*q - h. Suppose -4*p + 124 = -q*c, -c - 4*c + 53 = 3*p. Suppose -7 - p = -x. What are the prime factors of x?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 31\/(-40) + 4\/10. Let c = 433795\/7 - 61850. Let i = c - 121. Sort i, -1, u.\nAnswer: -1, u, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -85\/1178 and -49\/190.\nAnswer: 5890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (6\/8)\/(522\/1392).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -12831421 or -12831420?\nAnswer: -12831420","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {z: 3, y: 3}. Give prob of picking 1 z and 1 y.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -11 - -211. Suppose k = -22*r + 18*r. What is r rounded to the nearest one hundred?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -21*d**3\/5 - 108888*d**2 + 101596791*d\/5 - 5796642 = 0. What is d?\nAnswer: -26111, 2\/7, 185","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z\/(z*z\/z**(1\/3))*z*z)**(-4\/3)*(z\/(z*((z**(-7)\/z)\/z)\/z))\/z**(-1\/4) assuming z is positive.\nAnswer: z**(305\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-6*n**2 + 4*n**2 + 4*n**2)*(-2634*n + 446*n + 1388*n) to p*n**2 + c + q*n + z*n**3 and give z.\nAnswer: -1600","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 35\/147*(-468)\/975?\nAnswer: -4\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d(j) = 10*j**2 + 34*j - 34*j. Let u(a) = -2*a**2. Determine u(d(l)).\nAnswer: -200*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -14*o = -2*o + 1640 - 1508 for o.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-126*d - 115*d + 225*d)*(0 + 4 - 5)*(-d - 4 + 3 + 2).\nAnswer: -16*d**2 + 16*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {m: 5, o: 3}. Give prob of sequence om.\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let m(n) = 15*n - 31. Let z be m(2). Let t(k) = 3*k**3 - 4*k**2 - 3*k - 1. Suppose 8*q - 20 = 3*q. Let a(j) = -j**2 - j. What is q*a(l) + z*t(l)?\nAnswer: -3*l**3 - l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*q + 2*q = -160. Suppose -4*m + 100 = 20. Calculate the highest common divisor of q and m.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 581110.4 plus -402?\nAnswer: 580708.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*z + 130 = 8*z. Suppose 2*h = 5*m + 5 + z, 15 = -m - 2*h. Sort -1, 11, -4, m.\nAnswer: m, -4, -1, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-11726)\/(-11))\/13 - 56?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-8)\/(-3)*(5 + -2). What is the units digit of 12\/10*20\/z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.11 and 21133.\nAnswer: -2324.63","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -1958 + 1956. Which is the closest to 0.14?  (a) 5  (b) p  (c) 0  (d) 1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many decades are there in 5436.196 centuries?\nAnswer: 54361.96","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (370\/148)\/((-1)\/6)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 185 minutes after 1:03 AM?\nAnswer: 4:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let h be -2*((-8)\/(-6) + -1). Suppose -28*i + 30*i + 2 = 0. Let j = 545\/3458 - 1\/266. What is the closest to i in j, 3\/8, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(k) = k**2 + 7*k + 35 - 63 + 30. Let l(x) = -2*x - 1. Determine -7*l(i) - 2*w(i).\nAnswer: -2*i**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is -222 (base 4) in base 12?\nAnswer: -36","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 131221 to the power of 1\/3, to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Sort 13, -2, -1, -93 in ascending order.\nAnswer: -93, -2, -1, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*j - 2*b + 3*b = -214, 220 = -5*j + 5*b. Let t = 32 - j. What is the tens digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -6144225 divided by 25925.\nAnswer: -237","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -12.417 + 15.417. Which is the nearest to 0?  (a) -5  (b) 0.17  (c) -1  (d) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(i) = 5*i. Let o(y) = y**3 + 27*y**2 + 39. Calculate the remainder when o(0) is divided by g(2).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(r) = 10889*r - 207118. What is g(19)?\nAnswer: -227","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence pb when two letters picked without replacement from pbe.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let h(n) be the first derivative of -5769*n**4\/4 - 2*n**3\/3 - 9*n**2 - 11*n + 2320. Find the third derivative of h(c) wrt c.\nAnswer: -34614","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {x: 7, e: 1}. Give prob of picking 2 x and 1 e.\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Find r, given that -2*r**5\/7 - 24456*r**4 + 8*r**3\/7 + 97824*r**2 = 0.\nAnswer: -85596, -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from oochyobocgobh. What is prob of picking 1 y and 1 o?\nAnswer: 5\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 o, 1 q, and 1 n when four letters picked without replacement from qkmnomnol.\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of ((-12078)\/(-581696))\/((-3)\/4) and 24\/1937.\nAnswer: 15496","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 8\/25 of a millisecond in microseconds?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 12 minutes after 8:15 PM?\nAnswer: 8:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Sort -12, 3, -5, 5, -2\/9, 0.3 in decreasing order.\nAnswer: 5, 3, 0.3, -2\/9, -5, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 32*j = 29*j + 3. Is 15 a factor of (1 - -29)*j*(27 - 11)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 740.4875 millennia in months?\nAnswer: 8885850","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence oi when two letters picked without replacement from {i: 1, x: 1, o: 1, h: 1, r: 3}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Do 70466\/21 and 3355 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*r + 4, -3*i + 2*i = 5*r - 19. Let g = 5 - -21. Calculate the remainder when i is divided by (4 - g\/5)*-5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 53 - 40.8. Let d = y - 11. Let u = d + -1.255. What is u rounded to two dps?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -27 + 38986*r + 27 - 38863*r.\nAnswer: 123*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -188\/17 - -11. Sort w, -3, -2\/5, 2 in decreasing order.\nAnswer: 2, w, -2\/5, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: c (base 14) to base 16\nAnswer: c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 43 - -22335?\nAnswer: 22411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-4 + (sqrt(13) - (-1*sqrt(13) + -1) - (2 + (sqrt(13) + 0 - sqrt(13)))) + 5)*-3)**2.\nAnswer: 468","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -4*(-3)\/54 - 0?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -730, -731, -732, -733?\n\"Answer: -i - 729","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-8994*h**2 - 774*h**4 + 8994*h**2)*(2*h - 4*h + h - 2*h + 0 + 0 + (-2 + 1 + 2)*(h - 6*h + 4*h) - 6*h + 4*h + h).\nAnswer: 3870*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 289496?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Convert 3.681474 millimeters to nanometers.\nAnswer: 3681474","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*d - 7 = 55468*z - 55470*z, -4*d + z = -16 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 839964, 839926, 839848, 839718, 839524?\nAnswer: 839254","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*a = -3*h - 33, -30 = 2*h + 228*a - 437*a + 205*a for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*h = -25, 0 = n - 4*h - 0*h - 70. What is the tens digit of (3060\/n)\/(9\/30)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 45*c**4*x**2 + 2*c**2*x**2 + 3032*c**2 + 591*c*x**2 + 1478*c*x wrt c.\nAnswer: 540*c**2*x**2 + 4*x**2 + 6064","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.1611374l to millilitres.\nAnswer: 161.1374","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h(l) = 16*l**3 + 5. Let a(c) = 36*c**3 + 6*c**2 + 9. Let j(m) = -m**3 - 2*m**2. Let x(v) = -a(v) - 3*j(v). What is 9*h(t) + 5*x(t)?\nAnswer: -21*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 c and 1 y when two letters picked without replacement from caycvcvyaaaca.\nAnswer: 4\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let r be ((-132)\/(-8) - 14)*1\/(-5). What is the third smallest value in 0.067, 0.5, r, 4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(n) = -4*n - 4. Give h(-2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1 or -7847\/17649?\nAnswer: -7847\/17649","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:47 AM and 3:04 AM?\nAnswer: 137","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 4\/5, 2\/565, 0?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 13 + -23. What is the third biggest value in 1\/7, 0.2, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -5  (b) 4  (c) 3  (d) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -0.02  (b) 2\/11  (c) -0.2  (d) -5  (e) -2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*r**4 + 1814820*r**3 + 411698268866*r**2 + 823391093280*r + 411694639232.\nAnswer: 2*(r + 1)**2*(r + 453704)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 87 + -85. Factor 0 + 1\/2*r**5 - 1\/2*r**3 + 1\/2*r**n + 0*r - 1\/2*r**4.\nAnswer: r**2*(r - 1)**2*(r + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 1\/(3\/6)*377. Let m = h + -319. Let b = -244 + m. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(m) = -149*m + 15. Let o(b) = 18*b**2. Give o(t(z)).\nAnswer: 399618*z**2 - 80460*z + 4050","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 438 a factor of 495520350?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -2.113 + 3.113. Let c be (-1)\/((-14)\/12 + 1). Put c, r, 0.1, -2\/7 in increasing order.\nAnswer: -2\/7, 0.1, r, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 16634070 and 7762566.\nAnswer: 116438490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify w**1*w**(2\/33)*w**(-1\/10)*w**(-1\/4)*w*((w\/((w**3*w)\/w)*w)\/(w\/((w\/(w\/(w**(-7)*w)*w))\/w)))\/((w*(w**8*w)\/w*w*w)\/w*w\/(w\/w**(-4))) assuming w is positive.\nAnswer: w**(-9431\/660)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-26)\/(-3) + 4 + (-98)\/21. Suppose a + 4*v - 22 = 0, -17 = -5*a - 3*v + j. Solve n = -a*k + 2, -n - 4*n - 26 = -2*k for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -2\/87 - 9\/29. What is the biggest value in t, 1\/7, -2\/7, -0.4?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(i) = 3*i**3 - 219*i**2 - 990*i + 5094. What is q(77)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in 787.0834 decades?\nAnswer: 7870.834","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -8 divided by 178831?\nAnswer: -8\/178831","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let o(d) = d + 9. Let g be o(-5). Solve -37 = -g*p - 57 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-2*p - 2*p + 2*p)*(-3*p**2 - 77 + 84 + 4*p**2) in the form a*p**2 + d + u*p + z*p**3 and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -261, -2053, -6905, -16347, -31909, -55121, -87513, -130615?\n\"Answer: -255*k**3 - 7*k + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -726, -728, -730, -732, -734?\n\"Answer: -2*f - 724","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 32 - (-5 + 12) - 32\/((-128)\/44)?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-677152*p + 2*p**4 + 4115*p**3 + 677152*p)*(7*p - 7*p - 7*p).\nAnswer: -14*p**5 - 28805*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let o(y) = 2*y**2 - y. Let n(s) = -s**2 + 8. Let d be n(3). Let k(x) be the first derivative of -x**2\/2 + 1. Calculate d*o(l) + k(l).\nAnswer: -2*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let p(s) = s**3 + 10*s**2 - 13*s - 20. Let y be p(-11). Solve 5*q - 3*x - 26 = 0, -3*q = y*q + 3*x - 14 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(z) = 3*z - 18*z**2 + 2*z - 4*z - 2. Let d be y(2). List the prime factors of (d\/28)\/3*-7.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(c) = c**2 + 4. Let u be x(3). Suppose 7*w + 208 = 9*w. What is the greatest common divisor of u and w?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: -11131002 (base 5) to base 2\nAnswer: -11000001000111101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve j = 9*r + 56, 2*j = -19*r + 15*r - 0 + 2 for j.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 47150.\nAnswer: 2, 5, 23, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 297 and 2233.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let y(j) = 10*j - 307. Determine y(33).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence vjhh when four letters picked without replacement from hvjhh.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: 4 * -1792080\nAnswer: -7168320","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -1038 - -1037.3. Which is the nearest to 0?  (a) d  (b) -2.1  (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(k) = 3*k - 9. Let w(j) = 3*j + 3*j + 19 - 13*j. Determine -5*p(o) - 2*w(o).\nAnswer: -o + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(114)*5*3 - -2*(sqrt(114) + sqrt(114)*-2))\/((sqrt(168)*-1)\/(sqrt(70)\/sqrt(360))).\nAnswer: -13*sqrt(19)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let a(q) be the first derivative of 216*q**5 - 1205*q - 171. Differentiate a(h) wrt h.\nAnswer: 4320*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be -10*(-6)\/(-7)*(-5 - 2). Suppose -5*b = b - a. Solve d + b = -d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 10 and 105050?\nAnswer: 105050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) 2\/13  (b) -2\/9  (c) -1509  (d) 4  (e) -2  (f) -0.3  (g) -0.2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 7535769 rounded to the nearest 100000?\nAnswer: 7500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1 in -1.5, 2\/9, 3, 200?\nAnswer: -1.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1737298737?\nAnswer: 3, 29, 919, 7243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let v(q) = -q**2 + 38. Let h be v(-8). Let r = 46 + h. Solve 0 = 5*c - c + r for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 4 - -27. Suppose -j*i - 15 = -34*i. Solve s = -5*v + 3 + 2, -i*s = -4*v - 25 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(r) = r**2 - 2*r + 2. Let m be y(1). Sort -2, 5, -25, m in increasing order.\nAnswer: -25, -2, m, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2057294098 to the power of 1\/2, to the nearest integer?\nAnswer: 45357","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Put 22, -3, -15, 9, 0 in descending order.\nAnswer: 22, 9, 0, -3, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1568450.\nAnswer: 2, 5, 13, 19, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4961 = -124*k - 2078 + 2203 for k.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let n(f) = -2007123*f + 1 + 660305*f - 1253183*f. Let i be n(1). Round i to the nearest 1000000.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -14, 0, 4 in descending order.\nAnswer: 4, 0, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00002421 to 6 dps.\nAnswer: -0.000024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 245510471 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let o(y) = -y**2 - 11*y - 4. Let b = 21 - 17. Suppose -32 = -0*a + 4*a - 2*v, -b*a = -3*v + 28. What is the remainder when 15 is divided by o(a)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(g) = 3*g**2 + 55*g - 38. Calculate n(-19).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose g + 2*g - 99 = 0. Suppose -4*a = -3*y + 15, 6 = 4*y + a - g. Calculate the smallest common multiple of y and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 641 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 2*d*f*u + d*f - d - 25354*f*u**2 + 11366*u**2 wrt f.\nAnswer: 2*d*u + d - 25354*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Put 3380, 0, 4, -3 in descending order.\nAnswer: 3380, 4, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-13 + 34 - 11 - m + m**3)*(0 - 3 + 4)*(2 - 2 + m).\nAnswer: m**4 - m**2 + 10*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 335 and 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2019 is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let j(n) = 2*n**3 - n**2 - n - 3. Let z be j(4). Let l = z + -111. What is the tens digit of (-460)\/l + 4\/12?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -47*t + 43*t + 20 = 0. Suppose 3*g = -3*h - 2*h, 0 = -h + t*g + 28. Solve 0 = -0*k - h*k + 15 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:55 PM and 6:36 AM?\nAnswer: 641","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 899795762 to the power of 1\/6, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 3031 - a?\nAnswer: 3026","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*b + 1 - 1)*(4 - 1 - 1) + 10*b - 21*b - 18*b + 0*b + 2*b + 0*b + (3 - 2 + 1)*(b - 4*b + b).\nAnswer: -35*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: 226 divided by -4146\nAnswer: -113\/2073","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let q(t) = t + 3. Let m be q(-5). Let r(l) = -3*l**2 + 2. Calculate r(m).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, -1963, 36754 in descending order.\nAnswer: 36754, 5, -1963","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Work out -7807 * 0.23441.\nAnswer: -1830.03887","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let s(v) = -v - 3. Let t be (24\/(-12))\/(4\/(-6)). Suppose 12*q - 7*q + t*g - 16 = 0, 3*g = 2*q + 2. Suppose 3*d + 1 = -q*j, 6*j - 16 = 8*j - 2*d. Determine s(j).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 9634470 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 6197590523 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = c - 0*c. Let x = -139\/204 - -1\/68. Which is bigger: c or x?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 27\/4  (b) 4  (c) -1.58444\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3*s + 4*s + 3*s + 3*s.\nAnswer: 7*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (6\/8)\/((-6)\/(-1536))?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -59.622 to the nearest ten.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 387027 is divided by 4588.\nAnswer: 1635","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let s(j) = 11*j**2 - 16. Let g(a) = -1. Let n(m) = -6*g(m) + s(m). Is n(5) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 40 and ((-4)\/(-12))\/((-4)\/(-84)).\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -12*j + 714 + 1014. Does 9 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(99)*-1*2 + sqrt(99)*2*3)*1)\/(((sqrt(90)*1 + sqrt(90) - sqrt(90))*-3)\/(-2*sqrt(160))).\nAnswer: 32*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:42 AM and 2:27 PM?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -44 + 71. Calculate the remainder when (4 + 19)\/((-2)\/(-8)) is divided by 6\/t - (-3368)\/72.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(y) = -2*y. Let l(w) = -4*w**2 - 143 + 140 - 102 - 3*w. Determine l(x(n)).\nAnswer: -16*n**2 + 6*n - 105","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 18839 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Express -5*y**2 - 4*y**2 + 7 - 5 as p*y**2 + f + b*y and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 18 + -19 + (3 - 1 - 0).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 6386233?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 40506 and 645.\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*m + 9*m - 2590 = 0. Suppose 3*z - m = -2*c, 2*c - 4 = -6. What is the hundreds digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(t) = 20*t**2 + 18*t + 52. What is m(-3)?\nAnswer: 178","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 168 and 12791163?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: -34521 divided by 16\nAnswer: -34521\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -1668\/11 + 12039\/77. What is the common denominator of k and (-1)\/((-32)\/36) - -1?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(r) = -r**3 - 11*r**2 - 11*r - 12. Let g be k(-10). Let v be (g + 0)\/(0 - -1). Let z = v - -19. Calculate the highest common factor of z and 153.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4*l + l + 13 + 4*l - 13*l - l + 4*l.\nAnswer: -l + 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let r be -3 - 118\/8*(9 - 13). Let k be 1 + (-1)\/(-2 + 1). Suppose b + k*v - 17 = 0, 2*b - 19 = -0*b - v. What is the greatest common divisor of b and r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(m) = m**3 + 8*m**2 + 3*m - 4. Let o(q) = -9*q**2 - 3*q + 6. Let g(r) = 3*f(r) + 4*o(r). Suppose g(a) = 0. Calculate a.\nAnswer: -1, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-77*1\/66)\/(((-36)\/8)\/(-3)).\nAnswer: -7\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 7 - 12 - 43\/(-8). What is the nearest to -2 in 0.5, -2, x?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(y) = y**2 - 1538*y + 16531. Calculate f(11).\nAnswer: -266","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let q(x) = -x + 12. What is the least common multiple of 8 and q(8)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 7817 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 33206 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 35 in -3, 4, -0.2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is -401390 divided by 3?\nAnswer: -401390\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 17656 is divided by 1961.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let q(z) be the second derivative of 8*z + 0*z**3 + 0*z**2 - 1\/6*z**4 + 0. Let h(w) be the second derivative of -w**3\/3 + w. What is q(h(r))?\nAnswer: -8*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 12*r + 30 = 42 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5 = -5*u, 2*t - 171*u - 1612512 = -173*u. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5*-3*(sqrt(2057) + (sqrt(2057) + -2 + sqrt(2057) - sqrt(2057)) + 2) - (sqrt(153)*4*4)\/(3*sqrt(441)))**2.\nAnswer: 820197572\/441","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 4 j when four letters picked without replacement from jjjjjjjjj.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let u(h) be the second derivative of h**4\/12 - 123*h. Let p(w) = 0*w - w - w + 4*w. Let t(f) = 2*f. Let b(a) = -6*p(a) + 5*t(a). Determine u(b(o)).\nAnswer: 4*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -36 - -91. Let s = 97 - a. Is s a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 5 (base 8) to base 2.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 1860 and 651.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, 3, 2, -46, 2447, -5, -3 in decreasing order.\nAnswer: 2447, 3, 2, -1, -3, -5, -46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4*k**2 + 9405*k - 9405*k.\nAnswer: -4*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 55*m - 621 = 397 + 412. Solve 5*y = 3*g + 24, -23*y - 5*g = -m*y + 24 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 229d (base 14) in base 15?\nAnswer: 1bb4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2242, -19, -4, -10 in decreasing order.\nAnswer: 2242, -4, -10, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let f(i) = 2*i**3 + 144*i**2 - 101*i - 329. Calculate f(-73).\nAnswer: -3614","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 120042 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: How many minutes are there between 10:21 PM and 7:45 AM?\nAnswer: 564","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*w - 62 = 5*a, -7*w - 12*w - 105 = -24*w for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -5 or -157977.481?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -13995 - 319337?\nAnswer: -333332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"}
{"text":"Question: Solve 16 - 196 = -5*f - 5*p, -p + 6*p = -3*f + 104 for f.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*i**3\/2 - 242139*i**2\/2 - 2463482172*i - 826028815854.\nAnswer: -3*(i + 341)*(i + 40186)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 1 - 50?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Does 3 divide 9585?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let b(f) = 29*f. Suppose -12 = -2*d + 14. Let c = d - 12. Calculate the remainder when b(c) is divided by 11.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -23 + 37 - (15 + -10 + 52).\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*p**5 - p**2 + p**2)*(2 + 0 - 3 + (-3 - 1 + 3)*(-3 + 4 - 3)).\nAnswer: 2*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 2\/(-2) - 30\/(-25). What is the second biggest value in -0.3, -0.1, u?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1024.66 times -17165?\nAnswer: 17588288.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 19 a factor of 3063548?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify b\/((b\/(b*b**6))\/b)*b*b**(1\/6)\/b*b*b**(-3)*b**(5\/4)*b assuming b is positive.\nAnswer: b**(101\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let k(t) = 2*t + 36. Let x(b) = -b**2 - 27*b - 74. What is the remainder when k(9) is divided by x(-22)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 37106*j = -3*g + 37102*j + 35, g + j = 11 for g.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: -4*(20\/(-8))\/5\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -666 + 666 - 4*r**2.\nAnswer: -4*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose c + 0*c + 2 = 0. Let h be 21\/c*(-1)\/7. Suppose 3\/2 - 3\/4*q + 3\/4*q**3 - h*q**2 = 0. Calculate q.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*o**2\/3 + 142340*o\/3 - 569296\/3.\nAnswer: -4*(o - 35581)*(o - 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 232 is divided by (-8299)\/(-301) + (-12)\/21.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: 227107936 divided by 176\nAnswer: 1290386","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let d(c) = -c**2 - 4*c + 5. Suppose 24 = 193*t - 197*t. Calculate d(t).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00037646 rounded to 6 dps?\nAnswer: 0.000376","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence fmj when three letters picked without replacement from jfrjfffffmmffjjrfm?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -91144\/7 or -13020?\nAnswer: -91144\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let p be ((-10)\/4)\/(-5)*(-1)\/2. What is the fourth biggest value in 13, -3, -0.1, p?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -1185, -2426, -3717, -5082, -6545, -8130, -9861?\n\"Answer: -4*x**3 - x**2 - 1210*x + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:28 PM and 5:16 PM?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*d - 6*d + 4*d**2 + 13*d - 2)*(6 - 6 + 11*d)*(0 + 0 - 2).\nAnswer: -88*d**3 - 110*d**2 + 44*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is (-630)\/(-390)*(-156)\/(-9)?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w(z) = z**3 + 3*z**2 + 4*z + 3. Give w(-2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 810 and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 12 + 825160*f**2 - 2*f + 4*f - f - 825111*f**2 to p*f**2 + c + q*f and give c.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3 = 15*f - 18*f. Let a = 8 + -29. Let h be (-6 - 372\/a) + (-2)\/(-7). Put h, -3, f in decreasing order.\nAnswer: h, f, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(x) = 6*x**3 + x**2 - 1. Let h be n(1). Suppose 2*m - h = -m. Solve 2*v - m = 4 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -5938 and -1063.\nAnswer: 6312094","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand (15*c - c + 20*c)*(56 + 6 - 36) + (4 + 1 - 7)*(3*c - c - 4*c).\nAnswer: 888*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let a be ((-4705)\/(-11292))\/((-10)\/4). What is the closest to 70 in a, 1, -1\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*s = -0*s + 8. Suppose 2*l - s = l. Let q be 2\/(-8) - (-9)\/l. What is the nearest to 2 in q, 0.2, -1?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(405)*3 - sqrt(405)) + sqrt(405))*4 - (1 + sqrt(405) + sqrt(405)*3) - (-3 + -5*5*(1 + sqrt(405))))**2 + 2.\nAnswer: 16038*sqrt(5) + 441776","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*x - 5*z - 42 = 0, -5*x = -12*z + 11*z - 59 for x.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let p(c) = 45*c**2 - 15 + 22*c - 8*c - 68*c**2 + c**3. Is p(23) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 19, 89, 211, 391, 635, 949?\n\"Answer: d**3 + 20*d**2 + 3*d - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand 319*q**4 - 10451*q**3 + 10451*q**3 + (-3*q**2 + 2*q**2 + 2*q**2)*(3*q - 3*q + q**2).\nAnswer: 320*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*f - 2*m = -7, -11 = -4*f - 4*m + 3*m. Suppose -b - f*b = -60. Suppose -461 - b = -4*d. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1171 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) 39  (b) -1\/4  (c) -1  (d) 0.2  (e) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Express (-63*x - 25*x + 2*x)*(-x**2 + 0*x**2 + 3*x**2 + (x + 1 - 1)*(3*x - 4*x + 3*x)) as z*x**2 + h*x**3 + t*x + j and give h.\nAnswer: -344","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Express (h + 1 - 1)*(1432 + 1607 - 670) in the form t*h + n and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 37\/2 of a millennium in years?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -1243202*k**4 - 39*k + 69984614 wrt k.\nAnswer: -4972808*k**3 - 39","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0 + -20 + 206 + -165.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 208255 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3848357 is divided by 3848323?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let w(v) = 2986*v**2. Let l(c) = 3767*c - 939*c - 944*c - 942*c - 943*c. Calculate l(w(o)).\nAnswer: -2986*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is one tenth of a meter in centimeters?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 46?  (a) 3  (b) -1\/6  (c) -1  (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -2\/3  (b) 6\/17  (c) -2  (d) 36  (e) 0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*v = 180 + 68. Suppose 6 - v = -7*g. Suppose g*y + 558 = -690. What is y rounded to the nearest 10?\nAnswer: -160","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -9228 not equal to -9229?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 131962867 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 3057733 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -14b5b05 - -35?\nAnswer: -14b5aa0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: -1a10 (base 12) to base 6\nAnswer: -22420","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*p = p + 855. Suppose 106*t - 2453 = p*t. Calculate the remainder when t is divided by 76.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -50678 - -89497. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(s) = s - 4. Let g be h(4). Suppose g = 2*c + c. Suppose c = a + 3*x - 8, -2*x - 92 = -4*a + x. List the prime factors of a.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 645 = 77*x + 138*x. What is the fourth biggest value in 4, x, 3.7, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 0, -111967, 5 in descending order.\nAnswer: 5, 0, -111967","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 366\/(-24) + (-2)\/(-8). Let m be (9\/r)\/((-1)\/5). Find the third derivative of -79 + 37 + c**2 + m*c**3 + 42 wrt c.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(v) = 1. Let r(j) = -j**2 + 16*j + 80. Let o(h) = 2*p(h) + r(h). Let x be o(20). Solve 5*k + 2*b = -10, -b = -k + x*k - 1 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 77.73931l to millilitres.\nAnswer: 77739.31","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: -333833 divided by -17\nAnswer: 333833\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*n + 111 = -0*t + 4*t, 217 = -5*n - 4*t. Let b = n - -44. Suppose b*z - 4*v - 64 = 0, -v - 76 = -4*z + 2*v. What are the prime factors of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -10 - -10 - (-5 - 1 - (24 + (-12 - 5))).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence bd when two letters picked without replacement from {m: 6, f: 3, d: 1, b: 4}?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Factor 1\/2*a**3 - 3\/4*a**4 + 1\/4*a**2 + 0*a + 0.\nAnswer: -a**2*(a - 1)*(3*a + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((p**(-1\/5)\/p)\/p)\/p**(-26))\/(p\/(p**(-14)\/p))**47 assuming p is positive.\nAnswer: p**(-3641\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -19*g - 5*g + 168. What is the third derivative of -g*a**2 + 24*a**5 + 8*a**5 - 27*a**2 wrt a?\nAnswer: 1920*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 10673 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-2 + 2 - 2*t)*(-4*t + 0*t + 3*t) + (4*t - 4*t + t)*(3*t - t - t) - 5*t + 5*t - 2*t**2 + 0*t + 2*t**2 + 0*t)*(-t**2 + 3*t - 3*t).\nAnswer: -3*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1022?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 9 and 0.811.\nAnswer: 7.299","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 159512621?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 + (4 - 4 - -1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*k - 4*x - 61 - 94 = 0, -5*k + 2*x + 235 = 0. Suppose 15 = 3*u - k. What is the smallest common multiple of u and 18?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4 = -v - v, -3*d + 2971*v - 44 = 2976*v for d.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*p - 5177 = -5*w + 38018, 25911 = 3*p + 5*w. Suppose 0 = 4*d - 0*d. Suppose d = -3*i + 66358 + p. Round i to the nearest 10000.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 77 and 150293?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: 3 divided by -2852523\nAnswer: -1\/950841","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let h(f) = 10*f**2 + 9*f**2 + 2 - 20*f**2 + 4*f + 3. Calculate h(5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is a521276 + -6?\nAnswer: a521270","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-3)\/(-21)*(-1)\/2*-2.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 5?  (a) -3\/5  (b) -406  (c) -2\/17  (d) -0.1  (e) 53  (f) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3\/2, 1\/4, 1, -0.3, 0.3 in ascending order.\nAnswer: -3\/2, -0.3, 1\/4, 0.3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -105\/1634 and 69\/127280.\nAnswer: 2418320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*w - d - 37 = 0, -87*w + 3*d = -86*w + 14. Let o(r) = r**3 - 3*r**2 - 4*r + 2. Let h be o(4). Sort h, -2, w, -8 in increasing order.\nAnswer: -8, w, -2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence pp when two letters picked without replacement from tprys.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let y(o) = 24*o - 140. Let m be y(6). What is the smallest value in 0.07, 3, m, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 + 0 + 4 - 3 - 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y(d) be the second derivative of 0 - 5\/3*d**3 + 0*d**2 + 38*d. Let a(r) = -r**2. Calculate a(y(l)).\nAnswer: -100*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 d and 1 u when two letters picked without replacement from uuuuuuuuddduuuuuuu.\nAnswer: 5\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 9897?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: ((-3)\/(-21) + -3)*(1*-3 + (-4928)\/(-1760))\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (z + 0*z - 2*z)*(-3*z**4 + 2*z**4 - 2*z**4)*(5 - 3 - 1)*(-3 + 4 - 2).\nAnswer: -3*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(44) - (sqrt(44) - 5*sqrt(88)\/sqrt(2))) + sqrt(44).\nAnswer: 12*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: -2*(-2)\/8*6\/5\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*g**2 - 242074360*g + 3662499735588100.\nAnswer: 4*(g - 30259295)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 52 - 52. Let y be -1*(3 - 2)*n. Let r(u) = -u**2 - 2*u + 2741. Is r(y) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 3991243?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let h(v) = v**3 + 5*v**2 + 4*v + 3. Suppose -18*j + 21*j = 33. Let q = -15 + j. Determine h(q).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 33516684 and 22?\nAnswer: 368683524","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 13327 is divided by 118.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1371*v**2 + 1371*v**2 + 49028938*v**3 - 49028936*v**3.\nAnswer: 2*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let r(u) be the first derivative of u**3\/3 + 7*u**2\/2 - 11*u + 7. Let l(w) be the first derivative of r(w). Find the first derivative of l(q) wrt q.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(c) = -50*c**3 + 3866*c**2 - 4*c - 3868*c**2 - 42*c**3 - 3. What is the units digit of t(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(w) = 12*w + 30. Let h(i) = 23*i + 59. Let n(f) = -3*h(f) + 5*m(f). Let b = 45 + -51. Let x be n(b). What is the greatest common divisor of x and 216?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 35 and -0.04?\nAnswer: -1.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -23*w + 14 = -16*w. Solve -2*n - 3*n - 21 = -b, -n = w*b + 2 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1*6*14\/(-21)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l(z) = -2*z + 42. Let n be l(0). Suppose -2*v = -0*v - n. What is the tens digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 0*g - 1\/3*g**5 - 2\/3*g**4 - 1\/3*g**3 + 0*g**2 + 0 = 0. What is g?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(c) = -2*c**3 + 35*c**2 + 19*c - 16. Let u be h(18). Solve -u*k + 3*k = -r + 8, 0 = r - 3 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(i) = -3694*i + 196. Let x(l) = 3*l**2. What is r(x(w))?\nAnswer: -11082*w**2 + 196","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let r(s) = 2*s + 1765. Let f(z) = -30. What is 6*f(l) - r(l)?\nAnswer: -2*l - 1945","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 36 - 1036166?\nAnswer: -1036130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Round 580520 to the nearest 10000.\nAnswer: 580000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-2)\/(-9) + 50\/18. Let x(h) be the first derivative of -h**4\/4 + h**3 - 3*h**2\/2 - h - 2. Give x(i).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 23\/3 of a century in months?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a(s) = 20*s**3 + 6*s**2 + 6*s - 1. Let i(z) = 20*z**3 + 5*z**2 + 5*z - 1. Let m(b) = 6*a(b) - 7*i(b). Let k be -2*(-3 - -2) - 3. Is m(k) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {u: 2, e: 2, o: 1}. What is prob of picking 2 u and 1 o?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence vcc when three letters picked without replacement from cfgggzwcccfv.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4*0.4081.\nAnswer: 1.6324","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: -392133 divided by -10\nAnswer: 392133\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let 5*n**5 - 3890*n**4 + 170790*n**3 + 726080*n**2 + 924205*n + 372810 = 0. Calculate n.\nAnswer: -2, -1, 51, 731","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*z**4 - 13 - 558083*z**3 + 13 + 558081*z**3 + 3*z**5.\nAnswer: z**3*(z - 2)*(3*z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 23463, 46951, 70451, 93963, 117487?\nAnswer: 141023","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 8989657 a multiple of 249?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-84)\/7)\/4*8\/(88\/77).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 639 minutes before 2:37 AM?\nAnswer: 3:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 765 and 119.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let d(a) = a**2 + a. Suppose -5*g = -10*g + 10. Give d(g).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1783 (base 10) to base 11\nAnswer: 1381","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 l and 2 s when three letters picked without replacement from {h: 3, b: 2, r: 4, s: 3, l: 2, y: 1}.\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let t(b) be the third derivative of -11*b**4\/12 + 11*b**3\/3 - 30*b**2. Let c(v) = 43*v + 246. Let k be c(-6). Let m(r) = 9*r - 9. Give k*m(q) - 5*t(q).\nAnswer: 2*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -26*y + 330 + 11 = -309 for y.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: -76 (base 12) to base 10\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g(d) = -d**3 - d - 1. Let c(j) = -j**3 + 8*j**2 - 1. Let s be c(8). Let r be g(s). Solve 4 + r = -v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -21.38 - -0.38. Let f = g - -18.8. Round f to the nearest integer.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 44, 37, 26, 11, -8?\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 235091 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: -11642 (base 7) to base 4\nAnswer: -233330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1 + 24\/(-4) - (-432)\/(320\/(-20)).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -18.04 + 0.04. Let c = -53879 + 53880. What is the third smallest value in -1, c, t, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 1*(8 - 7 - -16). Let o be 525\/r - (-54)\/459. Is 34 bigger than o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(i) = 181*i**3 - i**2 - 5*i + 5. What is the remainder when l(2) is divided by 206?\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2?  (a) 1\/5  (b) 9\/10  (c) 0.5  (d) -18\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*n - 4 = 2*d + 1, -5*d + 31 = 2*n. What is the second derivative of -4*z**4 - z**4 + n*z - 8*z wrt z?\nAnswer: -60*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -95\/5872 and -101\/15329590.\nAnswer: 122636720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 597 and 4378.\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 20 + (-36 - (2 + 7 + 9))?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -21*o = -34141 - 24545 - 15423. Does 25 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -28*f**6 - 67*f**5 - 4*f**2 + 2*f + 28 wrt f?\nAnswer: -3360*f**3 - 4020*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3*(4 + -4*(-5 + sqrt(539)*-2 - sqrt(539)*1*6)*-5))**2.\nAnswer: 1935360*sqrt(11) + 124268544","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let j(q) = 2*q**2 - 3*q - 4. Let s(k) = -k - 8. Let v be s(-5). Let t be j(v). Suppose -3*x - 14 = -t. Solve 4*l = -4*u - u - 14, -x*u = 4*l + 10 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 41 minutes after 5:59 PM?\nAnswer: 6:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let o(f) be the third derivative of -1\/12*f**5 + 0*f + 103*f**2 + 1\/24*f**4 + 1\/120*f**6 + 5\/6*f**3 + 0. Calculate o(5).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is six fifths of a century in decades?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Does 9 divide 8441307?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -3279 - -3921. What is the remainder when i is divided by 73?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 586 divided by -422270.\nAnswer: -293\/211135","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 6 + 8. Suppose -62*d = -1014*d + 106624. Calculate the highest common divisor of f and d.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -31 - -95\/3. Let n = 129 - 125. Which is bigger: n or x?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 5407244?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Convert 8.887609l to millilitres.\nAnswer: 8887.609","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1 - 16 = 80*y - 37*y - 38*y, 2*y + 52 = 2*q for q.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 679029128.\nAnswer: 2, 4297, 19753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 145 minutes before 1:21 AM?\nAnswer: 10:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 4044338293 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-25*1)\/(27\/(-81)). Suppose -38*w - i + 341 = 0. Solve w*h = 5*h + 8 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -10011010001110111001001101 + 0?\nAnswer: -10011010001110111001001101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 5442732 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 3546913 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 101 - 48 - 53 + 2*p**2 - p**2.\nAnswer: p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*r + 3*o + 62 = 2*r, 0 = r + 2*o - 17. Let a = r + -25. Do a and 1\/57 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 37 - 32. Let z(a) = 32*a + 365. Let p be z(-11). Solve g*c - 8 = p*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: (12*(-41)\/492)\/((-11)\/(-33))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -5575 + 5578. Solve a + l + 7 = 0, 3*a - 7*l + g*l = 0 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*n**2 - 3*n**2 + n**2 - 2 - n**2 + 2 + (0 - 2*n + 0)*(-n + 0 + 0) - 3*n**2 + n - n + 1 - 1 - n**2 + (1 - 4 + 4)*(n - n + 2*n**2))*(-2*n - 3 + 3).\nAnswer: -2*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 154 and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 931850*c**2 + 4169865*c?\nAnswer: 1863700","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 12932 and 244?\nAnswer: 244","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let s(l) = 3*l - 3*l + l + 2 - l**2. Suppose 3*q = 2*j + 1, -q + 9 = -5*j - 0. Give s(j).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1010*u - 978*u = 288 for u.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 8\/73 - -57\/146. Let t(o) be the first derivative of k*o**4 + 8*o - 5 + 0*o**2 - 2*o**3. Determine a so that t(a) = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1353\/(-1287) + (2\/2)\/(2\/2)\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:38 AM and 2:05 AM?\nAnswer: 27","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 611 minutes after 9:59 PM?\nAnswer: 8:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/20 of a millisecond in nanoseconds?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 4292742?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 0.4, 3, 1\/13, -0.5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 1 and 1161064.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((t*t**(12\/7)*t)\/t)\/(t\/(t*(t**(13\/5)\/t)\/t*t)))\/((t\/(t**(3\/4)\/t))\/((t*t*(t*t**(-7\/5)\/t)\/t)\/t)))**(-1) assuming t is positive.\nAnswer: t**(-233\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-28080)\/(-20))\/(-27)*(-4)\/20?\nAnswer: 52\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*q + 5*d + 46047 = -11403, -45967 = -4*q + 3*d. Does 21 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.5 times -255405\nAnswer: 127702.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let o(t) be the second derivative of 0*t**4 - 2*t + 0*t**2 + 0 + 3\/20*t**5 - 1\/3*t**3. Find the second derivative of o(n) wrt n.\nAnswer: 18*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-2 - -15)\/((-3)\/(-6)). Let m = 14 - o. List the prime factors of 2\/m + 155\/30.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 244, 259, 274, 289?\n\"Answer: 15*d + 229","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j(b) = b. Let q(r) = r**2 - 17. Let a(l) = 5*j(l) + q(l). What is a(-8)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.64 and 80.8.\nAnswer: 51.712","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 404.\nAnswer: 2, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 35\/28192 and 9\/52784.\nAnswer: 93005408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*d - 38 + 32 = 0. Suppose -30 = -0*x - 5*x. Suppose -2*z - 4 = x, -3*o - 3*z = 24. Is d less than or equal to o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*(sqrt(4455) - sqrt(4455)*-1 - (sqrt(110)*-3 - sqrt(110))\/sqrt(2))\/(2*-2*(sqrt(500) + sqrt(500)*1 - sqrt(500))))**2.\nAnswer: 1331\/100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-3 - 1 + 1)*(0 + 0 - 1)*(3 + r - 3)*(22 - 22 + 13*r) to x*r + u + c*r**2 and give c.\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1 - 28 - -26 - (15 + (4 - 2)).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.43 in -3, 0.5, 1, 4\/7?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 4940 and 2530268?\nAnswer: 988","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 31 and 496?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is -3 + (-3 - (-2 + 1))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, -688, 10 in ascending order.\nAnswer: -688, 4, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Express 36620*m - 4*m**2 + 15 - 36620*m as j*m + n + b*m**2 and give b.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth smallest value in 1\/5, -1\/6, -0.2, -17, 77, 65?\nAnswer: 77","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence wmw when three letters picked without replacement from wimmmwfimmmip.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1\/5, -5, -7, 0.8251, 1 in ascending order.\nAnswer: -7, -5, -1\/5, 0.8251, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -34, -122, -280, -520, -854, -1294?\n\"Answer: -2*n**3 - 23*n**2 - 5*n - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -831\/406 - 154\/29. Find the common denominator of w and 25\/192.\nAnswer: 1344","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 42 is divided by 20.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 27827301 to the nearest integer?\nAnswer: 5275","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1557220.\nAnswer: 2, 5, 7, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: ((-60)\/35)\/(2*3\/(-21))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2 in -1\/7, 5, 0.3, -4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1 + -18 + 4772 + -4744.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -942 = -77*j - 249 for j.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: 5*8281659\nAnswer: 41408295","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Convert -3790ba (base 15) to base 7.\nAnswer: -31430665","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((n**0)**32)**(4\/11))**10)**(-1\/37) assuming n is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 386 is divided by 13?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 33\/658 and -67\/158.\nAnswer: 51982","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 75 is divided by (6\/(-8) - -1) + (-473)\/(-44).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -17\/134 and -51\/8.\nAnswer: 536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(450)\/sqrt(144))**2.\nAnswer: 25\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let -4*k**2 + 572*k - 568 = 0. What is k?\nAnswer: 1, 142","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -238*m**3 + 458*m**3 - 217*m**3.\nAnswer: 3*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 270 a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 f when two letters picked without replacement from tddjjjtjjfdsjddft.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let c(m) = -4*m. Let y(j) = 3*j. Suppose -3*l = -3*o - 3, -107*o = -112*o + l - 17. What is o*c(p) - 6*y(p)?\nAnswer: -2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -340 or -36\/23591?\nAnswer: -340","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*v + 34 = 2*g, 56*v = 53*v - 3*g + 15 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 12 - 1245?\nAnswer: -1233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 38*n**2 + 0*n**2 - 38*n**2 - 2392*n**3 + 2208*n wrt n.\nAnswer: -14352*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -101 (base 15) to base 10.\nAnswer: -226","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {k: 2, y: 2, l: 1, q: 4}. What is prob of sequence qly?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -214 + 429\/2. What is the second biggest value in -1\/3, -1\/4, z, -0.5?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 153 = -4*v + 65. Let k = 12 + v. Let w = 2 - k. What is the highest common divisor of w and 18?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14566 = 10*o - 4034. List the prime factors of o.\nAnswer: 2, 3, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -9714 divided by 207.\nAnswer: -3238\/69","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve x**2\/2 - 4556503*x - 9113007\/2 = 0.\nAnswer: -1, 9113007","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let q(c) = -587*c**3 - c**2 - 6*c - 7. Give q(-1).\nAnswer: 585","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify m**(-1\/8)*m**(-1)*m**(-3\/2)\/(m*((m\/((m\/m**(-2\/3))\/m))\/m)\/m*m) assuming m is positive.\nAnswer: m**(-71\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let d(x) be the second derivative of x**4\/12 - 2*x**3\/3 - 4*x**2 - 323*x. Suppose -5*y = 0, -18 = -0*b - 3*b + 3*y. Give d(b).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 17744892749 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let a(q) = 2*q + 356. Let m(b) = 5*b + 713. Determine -7*a(g) + 3*m(g).\nAnswer: g - 353","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 21012.\nAnswer: 2, 3, 17, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:36 AM and 9:54 AM?\nAnswer: 558","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Convert 54934.44ml to litres.\nAnswer: 54.93444","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 700893091 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let w be -12*((-11)\/(-3) + -4). Let a = -42 - -10. Let j = 32.5 + a. Sort j, w, 0 in increasing order.\nAnswer: 0, j, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-4)\/((-56)\/2)*(-21)\/(-15)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (1*(-16)\/(-3))\/((8\/10)\/((-840)\/100))?\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -4 + -105?\nAnswer: -113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-29)\/3 - 2\/(-3). Let x = -7 - r. What is the units digit of (x\/(-5))\/(3\/(-45))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.1?  (a) -15\/98  (b) 3  (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2263 divided by -1.\nAnswer: -2263","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 3.35 - 2.85. Which is the closest to -2?  (a) -1  (b) k  (c) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -187 + 188. Which is smaller: k or -227?\nAnswer: -227","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 66318208 a multiple of 2368?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 104 and 11128?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 18352893?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {t: 1, d: 6, v: 1, l: 1, u: 1, f: 3}. What is prob of sequence lt?\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let h(b) = 286*b + 3426. What is h(-12)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let i(v) = v**3 + 20*v**2 + v + 23. Let h be i(-20). Let k be (-10)\/(-20)*4\/(-6)*h. What is the nearest to 0.1 in 1, -0.08, k?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*s - 72 = -3*n - 3*s, -3*s - 29 = -n. Let d(b) = 2*b**2 - 7*b - 1. What is the smallest common multiple of n and d(5)?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 4596 and 3.\nAnswer: 4596","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -3511*d + 1598*d - d**2 - d**2 + 1538*d to p + h*d**2 + m*d and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let o(z) = 5 + 14 - z + 1 - 19. What is o(-14)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.089748 and -718.\nAnswer: 64.439064","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let h(x) = -18*x**2 + 28*x - 136 + 48*x**2 - 15 + 5 + 22*x**2. List the prime factors of h(5).\nAnswer: 2, 647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(t) = -t**2 - 9*t - 13. Give z(-9).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let a(n) = -490*n - 52. Let i(p) = 978*p + 113. What is 13*a(f) + 6*i(f)?\nAnswer: -502*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence mmf when three letters picked without replacement from ffffmm.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2*-17 - (-5)\/4*(-22528)\/2560.\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*v = -2*z - 30, -20 = -5*v + z - 65. Suppose 27*d + 7923 = 24*d. Let k = -21029\/8 - d. Calculate the common denominator of v and k.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 76051 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.008551 rounded to five decimal places?\nAnswer: 0.00855","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 2 and -513?\nAnswer: -1026","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2089 is divided by 65?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -6718, -5314, -2976, 296, 4502, 9642?\nAnswer: 15716","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 8228 = 894*k + 24324 - 46831 - 68499 for k.\nAnswer: 111","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is -130c2 (base 14) in base 15?\nAnswer: -dd13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -17 + 26. Suppose -5*f = 4*x - 32, 5*f - 11 = -0*x + 3*x. Calculate the least common multiple of f and z.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 273 + 98 = 7*q. What is the units digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 8024165?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(70) - -6*(sqrt(70) + 1*sqrt(70))) + sqrt(70) - sqrt(70) - (sqrt(70) - ((sqrt(70)*-2*-1 - sqrt(70)) + sqrt(70))))\/(sqrt(80)\/(sqrt(8)*4*2))*-1.\nAnswer: -112*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 2\/3 - 16\/24. Suppose a = -o + 3. Let b be (o + -2)\/(1 - 3). Is 0 at least as big as b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 0.2, -1, 3, 2.49?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 7422, 28089, 62170, 109665, 170574, 244897, 332634?\nAnswer: 433785","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -10 - -43. Suppose -17*d + 1885 + 2603 = 0. Calculate the highest common divisor of a and d.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(l) = -284*l + 12. Let h(u) = -71*u + 3. Let k(v) = 2*g(v) - 9*h(v). Let r = -133 + 135. Is k(r) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1 + ((sqrt(120)\/sqrt(2))\/sqrt(12))**2.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 4 - 1. Suppose -3*u + w = 0, -3*i + i - 7 = -3*u. Find the common denominator of -3 - ((-104)\/(-11))\/i and -85\/6.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 680, 684, 688?\nAnswer: 692","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d(y) = -15*y - 6. Determine d(-3).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*u - 682 = -5*p - 7*u, 3*u = 5*p - 677. Suppose -206*d = -210*d + p. Solve -32*o + 6 = -d*o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (65\/3)\/((-928)\/(-6496)*(-7)\/(-3))?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*o + 9*c - 8*c + 92 = 0, -101 = -5*o - 2*c. What is the remainder when 75 is divided by o?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -5 - 5b028239?\nAnswer: -5b028241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 430245 and -0.1?\nAnswer: -43024.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 3262 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 626*d**2 - 740*d wrt d.\nAnswer: 1252","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3\/16, 4, 0.5 in increasing order.\nAnswer: -3\/16, 0.5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -0.1, 160, -2\/17, -18, 5, -2\/5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let p(i) = 4*i**3 + 11*i**2 - 15*i + 23. Let c(r) = 7*r**3 + 20*r**2 - 27*r + 45. Let a(k) = -5*c(k) + 9*p(k). Determine a(0).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 349\/15 + -118\/5. What is the second biggest value in b, -1\/2, -27?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*v**5 - 78*v**4 + 543*v**3 + 300*v**2 - 8052*v - 11616 = 0.\nAnswer: -2, 8, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*f - 12*f - 50 = 0 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*w + 23 - 3 = 0. Let p be 3*(-3)\/(-18)*4. Suppose p*z - h = 17, -21 = -z + 5*h - 8. What is the smallest common multiple of w and z?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 13 divide 481?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1 in -2.1, -3, 2, 4?\nAnswer: -2.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Sort -23, -2, 150 in descending order.\nAnswer: 150, -2, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-18*8\/(-432))\/(1\/(-27))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 33715 to the power of 1\/3, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -23*p + 72 = -59*p. Let u(r) = 1. Let t(v) = -3*v - 1. Determine p*t(h) - 4*u(h).\nAnswer: 6*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 12 - 121\/10. Suppose 0 = -k + 6*k. Sort x, -0.3, k in descending order.\nAnswer: k, x, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = v + 2*g - 6 - 2, 80 = 4*v - 4*g. Is 17 greater than or equal to v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -j = 2*j + 4*u - 18, -2*j = 5*u - 19. Let i(l) = -78*l**j - 2*l + 54*l**2 + 0*l. Let p(v) = -3*v. Determine p(i(q)).\nAnswer: 72*q**2 + 6*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 45675 is divided by 76?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let j be ((-2)\/24)\/((-66)\/176). Let v = 426 - 424.9. Put j, -0.08, v in increasing order.\nAnswer: -0.08, j, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 17166\/4 - (-938)\/268?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of (-6)\/45 + 3493\/210 and -101\/14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 737, 545, 159, -517, -1579?\nAnswer: -3123","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*sqrt(5616) + sqrt(39))\/sqrt(3) + (sqrt(52)\/sqrt(4) + -4 + sqrt(832) + 1)**2.\nAnswer: -77*sqrt(13) + 1062","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7 - 2 = -3*a. Suppose 4*u + 5*g = -21, 6 = -4*u + a*g + 25. Let w(k) = u - 1 - k. Let r(v) = -3*v. Determine w(r(l)).\nAnswer: 3*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1 = r - 3. Let u(d) be the third derivative of -d**6\/120 + d**5\/12 - 5*d**4\/24 + 145*d**2. Give u(r).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 399 + -797. Is (-2 + 1)*a - 3 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3 divided by 130378?\nAnswer: 3\/130378","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 1989 and 646.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 91634 is divided by 41.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 115*p - 2907 + 1641 = 1954 for p.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -4\/19?  (a) 2\/41  (b) 1\/8  (c) -1.31\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*p - 4*p = -d - 9, 2*d = 5*p - 21. Sort d, 5, 35\/8 in increasing order.\nAnswer: d, 35\/8, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(v) = v. Let m(p) = 3*p - 1. Suppose q + i = 13 - 6, i = q - 1. Let o be (q\/(-8))\/((-1)\/(-10)). Calculate o*k(d) + m(d).\nAnswer: -2*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -34 + 32?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: -1+1702009.72\nAnswer: 1702008.72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*f + 4*j - 228 = -129, f = -5*j + 24. What is the smallest value in -5, f, 7?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence fc when two letters picked without replacement from cccfcccffcccfc?\nAnswer: 20\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Put 2\/9, 115371519, 1 in descending order.\nAnswer: 115371519, 1, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 1 and 829.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((o\/o**(2\/7))**14*o\/((o\/(o*o*o**4\/o))\/o)*o\/o**(-4\/11))\/((o**2*o**(3\/7))\/(o**(-2\/17)*o\/o**(-2\/3))) assuming o is positive.\nAnswer: o**(64733\/3927)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 1435565 - -1415?\nAnswer: 1440313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -3190, -6398, -9606, -12814, -16022?\nAnswer: -19230","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is (29 + -34 - (0 + -29377)) + 16\/(-16) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.73 in -5, 1, -1, -7\/5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*r - 4*t + 13, -t = t + 6. Suppose 3*s - q - 31 = 0, 0 = -r*s + q + 83 - 28. Solve -s = -4*p - 3*c + 6*c, 2*c - 9 = -3*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 297113*o**2 - 9*o + 9*o - 594228*o**2 + 297117*o**2.\nAnswer: 2*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -i + r - 4, i + 2*r - 6*r + 16 = 0. Let o = 7 - 5. Factor 15*d - 3 + 5*d**5 - 15*d**4 + i*d + 30*d**3 + d**5 - 3*d**5 - 30*d**o.\nAnswer: 3*(d - 1)**5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 34*l - 32*l = 8. Suppose 0 = 3*r + 4*d - 18, -d + l - 11 = -5*r. Solve 2*s + 4 = r for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*r - r + 5*r + (-r + 0 + 0)*(27 - 37 + 28))*((5 - 5 - 2*r)*(-2 + 1 + 3) + 5*r + 0*r - 4*r + (1 - 1 - 1)*(r - 4 + 4) - 2*r + 3*r - 2*r).\nAnswer: 85*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 152640 and 318.\nAnswer: 318","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -3 or 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let v(o) = -7*o - 81. Let g be v(-12). Solve g*y - 2*h = 19, -3*y + 16 = -5*h - 18 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 (base 4) in base 13?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -84284135.00321 - -84283461. Let x = 674 + u. What is x rounded to 3 dps?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5\/4 of a meter in centimeters?\nAnswer: 125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 88 and 396?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2233 - 133*q + 2231 - 29*q - 4464.\nAnswer: -162*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -13504, -13502, -13500, -13498, -13496, -13494?\n\"Answer: 2*f - 13506","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z(g) = g**3 + 2*g**2 - 2*g + 1. Let o be z(1). Let x be (3 - 3)*(-2)\/(o - 0). Let t = 20 - 17. Solve t*r - 12 + 3 = x for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1610921 divided by 2.\nAnswer: 1610921\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 3720?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 5, 2\/9, 5\/3, -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*j + 65 = -y + 26, -5*y - 6*j + 22 = 0 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let d(t) = -8*t + 25. Let f be d(-13). Suppose -4*u = -2*b + 3*b - f, 3*b - 77 = -2*u. What are the prime factors of u?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Do 124 and 125 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*g = -3*t - 28, -2*t - 7 - 13 = 3*g. Is ((-138)\/g - -1)\/(13\/1118) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 0.1  (b) -3\/19  (c) 1  (d) 0  (e) -0.3  (f) 385\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5 + (-4 + (sqrt(2268) - (4 + 3*sqrt(2268)) - (-1 + sqrt(2268) + -4)))**2*2.\nAnswer: 648*sqrt(7) + 40847","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2 = -2*d - 30. Let r = 8 + d. Is r\/(-4)*(-2384)\/(-24) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 6996 to the nearest integer?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Convert 102.0113m to centimeters.\nAnswer: 10201.13","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00022442526 rounded to five decimal places?\nAnswer: 0.00022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 5\/40 + (-93)\/168.\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 5 + -6. Let x(t) = 2*t**3 - 15*t**2 + 5*t + 74. Let b be x(6). Let j = -1 + 0.9. What is the nearest to g in j, b, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 6351703 is divided by 247?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 f and 1 k when four letters picked without replacement from {j: 4, k: 1, f: 9}?\nAnswer: 12\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 241435564?\nAnswer: 2, 17, 31, 53, 2161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4*3 + (-12851685)\/(-198) - (-7)\/(-2)?\nAnswer: 2, 16229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.000050049284 to six dps.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 134 a factor of 2676325394?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is -36685.8 rounded to the nearest one thousand?\nAnswer: -37000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 222858?\nAnswer: 2, 3, 4127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose s = o - 285 - 636, -3*o - s = -2775. Let z be (-11)\/(o\/48) - (-2)\/7. Which is smaller: z or -1\/14?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify q*q**(-24)\/q*q\/(q\/q**(-19\/4))*q**(-6\/5)*q**(12\/7) assuming q is positive.\nAnswer: q**(-3953\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let o(f) be the third derivative of 0*f - 6*f**2 + 0*f**3 + 0*f**4 + 0 - 1\/210*f**5. Find n such that o(n) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -41?  (a) -0.4  (b) -3  (c) -146  (d) -55\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let b(a) = -61*a**2 + 10*a + 36. Let s be b(11). Is (-2)\/(-8) - 2\/(40\/s) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(u) be the second derivative of 6 + 0*u**3 - 1\/4*u**4 + 6*u**2 - 2*u. Let f(a) = 0. What is a?\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 7 + -4. Suppose f*v - 4*v + 63 = 0. Let x = 21 - 14. Calculate the greatest common factor of v and x.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(u) = -u + 2. Suppose -2*a - a + 3 = -t, 15 = -t - 3*a. Let i be y(t). Suppose -2*n = 2*h, -3*n = 2*n + 15. Solve h*b - v + 2 = -i, 3*b + 11 = -v for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*z + 3*z = -15. What is the biggest value in z, 2, 0.9, -4?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(24) - (sqrt(24) - -2*sqrt(216)))\/sqrt(8) + ((sqrt(36)\/sqrt(2))\/sqrt(6) - sqrt(432)*-1))*-4 + 1.\nAnswer: -28*sqrt(3) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {g: 1, o: 7}. Give prob of sequence gg.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3 - 168 = -3*q. What are the prime factors of q?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(g) = 4*g - 87. Let s(k) = -k - 4. Let x(v) = o(v) + 2*s(v). Let j(c) = 2*c. Determine j(x(u)).\nAnswer: 4*u - 190","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 39 + -11. Is t a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-6)\/7)\/(117\/(-273))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-l**2 + 1 - 1)*(-12 + 12 + 5*l) + 4 - 2*l**3 - 4 + (-5 + 3 + 3)*(-4 - 2*l**3 + 4) as x*l**2 + b + o*l**3 + d*l and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let z(u) be the second derivative of u**3\/6 - 7*u**2\/2 + 7*u. Let x be z(-11). Let r be x\/(-45)*3\/2. Which is the closest to 0.1?  (a) -0.3  (b) r  (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-10 + 2)*(-2)\/8. Suppose 0 = k + w - q*w - 10, -w - 4 = 0. Suppose k*c = 60 - 12. Solve -c*x + n = -3*x - 24, 4*n = 4 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(r) = -5*r - 49. Let z be q(-12). Let h(y) = y - 4 - z + 14 - 2. Determine h(4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -9.15 - -5.4. Let k = j - -3.15. Sort -0.1, 2, k.\nAnswer: k, -0.1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 486341?\nAnswer: 486341","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let k(b) be the second derivative of 7*b**3\/2 + b**2\/2 + 2*b. Is k(2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -20 = -2*d - 2*d + b, -8 = 2*b. Calculate the smallest common multiple of (-12 - -6 - -9)*(-4)\/(-3) and d.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 5 - 2)*(2*o - 2*o + o)*(8 + 6 - 4).\nAnswer: 20*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate y - 46*y**2 + 1140 + 601 + 208*y**2 - 494 with respect to y.\nAnswer: 324*y + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 918746*u**2 - 1837489*u**2 + 918737*u**2.\nAnswer: -6*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let x(t) = 8*t**3 - 2*t**2 + 1. Is 3 a factor of x(1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00278021 to 4 dps.\nAnswer: 0.0028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: 3908871956+-0.4\nAnswer: 3908871955.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5 = 5*m, b - 4*b - 10 = -m for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -62022, -62009, -61996, -61983, -61970, -61957?\n\"Answer: 13*d - 62035","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -39 - -39. Let g(m) = -m**3 + 2*m + 12. Let t be g(k). Solve 4*c = 3*n + t, 0 = 3*n - 7*n - 4*c + 12 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*y + 148 + 50 = 0. Suppose -2*t = -13*t + y. What are the prime factors of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 103699 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00000169926266 to six dps.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 51, 86, 97, 72, -1, -134?\nAnswer: -339","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a(d) = -7*d**2. Suppose -24*g = -25*g + 13. Let b(v) = -19*v**2 - 10*v**2 + 54*v**2 - g*v**2. What is a(b(s))?\nAnswer: -1008*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 r, 1 p, and 2 f when four letters picked without replacement from {r: 2, f: 2, j: 2, p: 1, g: 4, v: 4}.\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 99*g - 136 + 376 = 79*g for g.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -13327 - -24?\nAnswer: -13303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -4 + -3045?\nAnswer: -3053","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 179846485.\nAnswer: 5, 7, 13, 17, 23251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: 33 (base 11) to base 12\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 0.0303  (b) -5  (c) -0.5  (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ffm when three letters picked without replacement from ffffffmfmfffffffmm?\nAnswer: 91\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 5606444 or 5606445?\nAnswer: 5606445","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 41120, 41115, 41110, 41105?\n\"Answer: -5*t + 41125","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f(m) = 2*m**3 + 144*m**2 - m - 47. Let t be f(-72). Solve 2*d - 3*j = -11, 5*d - 5 - t = -4*j for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find d, given that 3*d**2 + 21*d - 294 = 0.\nAnswer: -14, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((y**19)**(11\/3)\/((y\/(((y**(5\/4)\/y)\/y)\/y)*y*y)\/(y**(-1\/6)\/y)))**42 assuming y is positive.\nAnswer: y**(5355\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let v(d) = 3*d**2 + 8*d + 1. Let l be v(-3). Let t(j) = -j + 9. Determine t(l).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(n) = 2*n - 9. Let u be t(0). Let m = 32 + u. What is the units digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(s) = -s**3 + 7*s**2 + 11*s - 1. Let c be u(8). Let i = -20 + c. Solve -9 = -2*z - i for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*d + 5*j = -17, 4*d + 3*j - 11 = -2*j. Suppose -2*m - d*f + 628 = 0, -17 = -5*f + 3. What is the tens digit of m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(n) = n**2 + 11*n + 11. Let f be l(-10). Solve -5*a + 9 = -f for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 112.7 + -113. Sort -4\/11, w, 0 in descending order.\nAnswer: 0, w, -4\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 0, 5, 2, -1\/3, -89, -281?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14*y = -16*y + 10, 2*j - 5*y = -23. Let s be -2 - 0 - 34\/(-20). Which is smaller: j or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 570 and 116634.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let u(n) = -3653*n**3 + 5*n**2 + 5*n + 15. Let z(c) = -8051216*c**3 + 11019*c**2 + 11019*c + 33057. Give -11019*u(s) + 5*z(s).\nAnswer: -3673*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5 + -4*sqrt(40)\/sqrt(8) + sqrt(5) + sqrt(50)\/sqrt(10)*-2 + -4.\nAnswer: -5*sqrt(5) - 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -99, -199, -297, -393, -487?\nAnswer: -579","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -2, -13, -26, -35, -34, -17?\n\"Answer: d**3 - 7*d**2 + 3*d + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w(j) be the first derivative of j**6\/72 + j**4\/8 + j**3 - 2. Let l(u) be the third derivative of w(u). Differentiate l(i) with respect to i.\nAnswer: 10*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 765, 2, 0.1, 6\/5, 4.\nAnswer: 0.1, 6\/5, 2, 4, 765","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -1 + 9. Suppose -11*a + 9*a + w = 0. Solve 24 = -5*o + 2*m, a*o + 5*m = -6 - 0 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 330.7 or 207506?\nAnswer: 330.7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((o**(-1))**(28\/9)\/(((o**5*o)\/o*o*o*o*o)\/(o*o**(-4)*o)))\/((o**(2\/7)*o)**48*o\/o**(-1)*o*o**0) assuming o is positive.\nAnswer: o**(-4966\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*w + 15*w = 26 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Do 741766\/3 and 247254 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 1\/(-3) - 406\/(-21). Suppose 20 - g = s. Calculate the least common multiple of s and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 4055019 or 4055018?\nAnswer: 4055018","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let k(r) = -3*r**2 + 2. Let g(m) = -m**2 + 1. Suppose -l + 0 = 3. Let v be 60\/36 - 1\/l. Determine v*g(d) - k(d).\nAnswer: d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 222.8 - 201. Let g = -22 + x. Put 4, -1, g in descending order.\nAnswer: 4, g, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-6)\/8 + 45\/12. Let x = 35 + -30. What is the remainder when x is divided by (-6)\/18 + 7\/j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -0.0328 - 0.4672. What is the smallest value in n, 1\/9, 126?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -h - 8 = m, -3*h = -8*m - 44 + 24 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*n + 83 = -3*i - 13, 3*n = -5*i - 179. Let m be -4*i\/765*(-10)\/8. Sort -5\/3, m, -0.3, 0.1 in decreasing order.\nAnswer: 0.1, m, -0.3, -5\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 2 - ((-567759)\/6)\/(94\/(-22)). Let v = -22144 - o. Calculate the common denominator of 58\/7 and v.\nAnswer: 658","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3216*w**2 + 10365*w + 85029.\nAnswer: -3*(w - 7)*(1072*w + 4049)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 90*s - 33*s - 4022 = 7891. Calculate the lowest common multiple of 4\/(-10) - 574\/(-10) and s.\nAnswer: 627","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 36 + -33. Suppose 0 = -d - x*d + 16. Suppose d*i = -2*l + 38, 7*i - 2*i + 2*l = 50. Calculate the lowest common multiple of i and 8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 12 a factor of 252?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 2504?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 4 + -5 + -3 - (-2 - -2).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 64086 is divided by 10679.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0 in -11, 26, 9, -2, 5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*d = -5*z + 25, 0 = -5*d + 6088950*z - 6088944*z - 28 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 494 + 2233 = 3*b + 2*c, 0 = 4*c - 12. What is the hundreds digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 2468\/7 + -351. Suppose 0 = 4*m + 3828 - 1208. Calculate the common denominator of 2\/5*m\/(-12) and p.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 16 - 12. Let u be (-1 - (-23)\/(-4))*h. Let w be 6\/u - 37\/(-45). What is the third biggest value in w, 5, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -7 - -2. Let h = l + 7. Suppose 2*d = -2, -2*d = h*v - 4*d - 14. Solve -2*s - 3 = -3*s - q, 2*s + 3*q - v = 0 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -11 - -12. Suppose m = 2*d - 5. Suppose -2*w - 2*h = -8, d*w - 8*w = 4*h - 18. Solve 4*p - w*p = -2*q - 10, -2*q = -p + 1 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 274 - 258. Let r = -467\/3 - -154. Which is the fourth smallest value?  (a) r  (b) -1\/2  (c) p  (d) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (1\/(-5))\/(2\/8).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -60195, -481681, -1625711, -3853557, -7526491, -13005785?\nAnswer: -20652711","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n(l) = 3*l**2 - 3*l - 4. Give n(2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 88998 and 17108?\nAnswer: 8365812","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 2202 and 344246.\nAnswer: 734","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let t be -30*(-530)\/90 + 1*(-8)\/(-6). Let c(y) = 9*y**2 - 5*y + 6. Let v be c(5). Suppose -742 = -3*w - 2*x - v, -t = -w - x. Does 30 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 11453 by -1388.\nAnswer: -11453\/1388","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -272686 = k + 21314. What is k rounded to the nearest 10000?\nAnswer: -290000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -t - 2*u - 15 = -56, 0 = -4*t - 3*u + 169. What is the remainder when t is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose d + 9 = t - 4, 4*d = t - 22. Let h = 19 + t. Suppose p = 13 - 4. Solve p = -4*g + h for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 244 and 5917.\nAnswer: 23668","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of (1\/(-14))\/((-10)\/244) and -40.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(q) = q**2 - 5*q - 1. Let w be f(5). Calculate the remainder when 49 is divided by ((-17)\/(-4))\/(w\/(-4)).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:26 PM and 6:58 PM?\nAnswer: 332","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1 + sqrt(612) - sqrt(170)\/sqrt(360))**2*-6.\nAnswer: -20861\/6 + 70*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let g(x) = 14*x**2 - 236*x - 238. Determine g(-1).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -3905238, -7810504, -11715770, -15621036?\n\"Answer: -3905266*z + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 1585 divided by 282319?\nAnswer: 1585\/282319","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -60.9 - -48.18. Let y = 0.28 - n. Which is the biggest value?  (a) 0  (b) -0.4  (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 110 minutes after 9:53 AM?\nAnswer: 11:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let o(r) = r**3 + 6*r**2 - 8*r. Let j be o(-7). Suppose -4*y = 3*s - 13, -j + 17 = -2*y. What is the units digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -326 times -1.174?\nAnswer: 382.724","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 1835339888 to the nearest integer?\nAnswer: 1224","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is -14 + 64 + -28 + -7?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort -179, 2, -270 in descending order.\nAnswer: 2, -179, -270","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -51*m = -47*m - 44. Let s(t) = 22*t**3 + 2 - m*t**3 - 4*t**2 - 6 - 4*t. Let n(y) = 21*y**3 - 7*y**2 - 7*y - 7. Calculate -4*n(j) + 7*s(j).\nAnswer: -7*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: 0.145 * -0.3\nAnswer: -0.0435","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2653784 is divided by 1306?\nAnswer: 1298","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -58.69 - -59. What is x rounded to one dp?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 u when two letters picked without replacement from uuuunbbnruunuuurunun?\nAnswer: 11\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -851 - 1525 = -18*s. What is the biggest value in 3, -3\/7, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 11410321.434 rounded to the nearest 100?\nAnswer: 11410300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -11  (b) 0.3  (c) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -4 - -1522?\nAnswer: 151a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-6*p**2 + 3*p**2 - 3*p**2)*(-45535 + 4*p - 5*p + 44974).\nAnswer: 6*p**3 + 3366*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -z + 0*z - 4*a = -16, 4*z - 109 = -a. Let n = z - 14. Let j(k) = k**2 - 10*k + 19. Is 15 a factor of j(n)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(f) = -f**3 + 15*f**2 + 3. Let i be s(15). Suppose -c + 3 + i = 0. Suppose -50*j - 53*j + 187 = -2285. What is the smallest common multiple of c and j?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1.13382 + 10.051.\nAnswer: 8.91718","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let d(y) be the first derivative of -3*y**4\/4 - y**3 + y**2 + 3*y - 4. Is d(-3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(h) = 2*h**2 - 11*h + 16. Let i be a(6). Let r be (-6)\/(-2)*i\/(-33). Let z(d) = -1. Let f(l) = 4*l + 2. Calculate r*z(b) - f(b).\nAnswer: -4*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(108)\/sqrt(4))**2 - (-2 + sqrt(3)*1).\nAnswer: -sqrt(3) + 29","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let g(i) = -i**2 + 11*i + 17. Suppose -18 - 18 = -3*h. Let f be g(h). Solve 6 = 2*j - f*j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2\/7*q**2 - 96\/7 + 52\/7*q = 0 for q.\nAnswer: 2, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -1 + 2. Let w be 0\/((4 + -2)\/r). Let g be (1\/(-2))\/((-6)\/(-8)). Is g less than w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -14*n + 17*n - 4*y - 22066, n = -2*y + 7342. What are the prime factors of n?\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(q) be the second derivative of -q**5\/20 - q**4\/2 - 3*q**3\/2 - 2*q**2 - 81*q + 3. Factor f(x).\nAnswer: -(x + 1)**2*(x + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b**2\/2 - 5735381*b + 32894595215161\/2 = 0. What is b?\nAnswer: 5735381","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 112 - 94. Calculate the highest common divisor of 2 and b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(b) = 20*b**3 + 6. Suppose 5*h = 3*h + 4. Suppose 2*k = -4*w + 30, -3*k + h*k = -w. Let g(x) = 5*x - k*x + 2 + 7*x**3. Determine -14*g(l) + 5*i(l).\nAnswer: 2*l**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1.3?  (a) -1  (b) -0.1  (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Find q, given that -q**4 - 15*q**3 + 16*q**2 = 0.\nAnswer: -16, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0000964186 to six dps.\nAnswer: 0.000096","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -53 divided by -115015?\nAnswer: 53\/115015","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"}
{"text":"Question: Solve 21*y**5\/2 - 11691*y**4\/2 - 195597*y**3\/2 - 211989*y**2\/2 + 158058*y + 51570 = 0 for y.\nAnswer: -15, -2, -2\/7, 1, 573","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -219*c = -214*c - 2*t - 9, 17*c + 14*t + 38 = 19*c + 8 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 15175848 divided by -13.\nAnswer: -15175848\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*n - 27223 = -2*c, 15*n + 5*c + 16309 = 18*n. List the prime factors of n.\nAnswer: 5443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 32666787 and 13095?\nAnswer: 2619","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 2.285943 tonnes in milligrams?\nAnswer: 2285943000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 121, 216, 297, 358, 393, 396, 361, 282?\nAnswer: 153","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 56\/29 + -1424\/377. Suppose y + 2*a + 11 = 0, 0 = 4*y + 23*a - 22*a + 9. Which is greater: y or s?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 take away -1745725.7?\nAnswer: 1745725.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let 5*s**5 - 585*s**4 - 29870*s**3 - 85440*s**2 - 56160*s = 0. Calculate s.\nAnswer: -36, -2, -1, 0, 156","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 0.1 - 0.1. Let h = 44 + -43. Let k = 171\/10 - 33\/2. Sort h, d, k in decreasing order.\nAnswer: h, k, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(n) = n**2 + 2*n + 1. Let f be ((-2)\/6*-1)\/((-3)\/(-18)). Let o(h) = -5 + 6 + 2 + 11*h + 5*h**2 - 4 + 5. Calculate f*o(j) - 11*m(j).\nAnswer: -j**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: 44*0.17599\nAnswer: 7.74356","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let g(t) = 3*t**3 + 41*t**2 - 47*t - 31. Let b be g(19). Suppose 10*o + 13*o - b = 0. What are the prime factors of o?\nAnswer: 2, 7, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -51, -65, -57, -15, 73?\n\"Answer: 2*m**3 - m**2 - 25*m - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Factor -o**3\/3 + 385*o**2 + 56542*o\/3 - 19232.\nAnswer: -(o - 1202)*(o - 1)*(o + 48)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 8 - 9. Let v = -42 + 47.8. Let p = 6 - v. What is the second biggest value in 0.4, p, u?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (133 - 133 + 10*q**2)*(q + 0 + 0) + (-3*q + q + 4*q)*(4*q**2 + q**2 - 3*q**2) to n*q**2 + p + a*q + m*q**3 and give m.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose a - r - 440 = 879, 2622 = 2*a + 2*r. Let i be 2689\/(-3) - 2\/(-6). Let h = i + a. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -h = -4*h - 3, m - h - 3 = 0. Let d be 1\/(m\/54) + 1. Suppose -5*s + 6 - 1 = 0, 3*b - d = -4*s. Is 4 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 407\/3384 + 2\/423. Let y(s) be the second derivative of -l*s**4 - 1\/4*s**3 - 1\/4*s**2 + 0 + s - 1\/40*s**5. Factor y(w).\nAnswer: -(w + 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 434 is divided by 162?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Express -4*b - 11315*b**2 - 4*b + 140 + 6*b + 11316*b**2 as h + x*b + j*b**2 and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let t(i) = 627*i**2 - 3419. Let b(j) = 3*j**2. Give t(b(z)).\nAnswer: 5643*z**4 - 3419","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"}
{"text":"Question: Let n = -18 - -16. Let m be -4 + (n - -1)\/(-1). What is the common denominator of 85\/2 and (m\/72)\/(1\/(-82))?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 4296.241 millimeters to centimeters.\nAnswer: 429.6241","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*v + 2*v + 6. Let i = v + 0. Let x = 4 + 18. Solve 0 = -2*s + 10, -c - i*s + x - 5 = 0 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does -2126 = 12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 2025189700 a multiple of 50?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (34\/3*(-1890)\/756)\/((-15)\/(-54)).\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence yva when three letters picked without replacement from vavvvajy?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let i(b) = -b - 8. Let h be i(-11). Let z = 1 - h. What is the units digit of (6\/(-4))\/(z\/12)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 93637*l**2 - 187280*l**2 + 93639*l**2.\nAnswer: -4*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 d when three letters picked without replacement from {h: 9, d: 5}.\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 3631\/9 - 403. Suppose j*p - 2\/9*p**4 - 2\/9*p**5 + 2\/3*p**3 + 10\/9*p**2 + 0 = 0. What is p?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -11255a9 (base 13) to base 3.\nAnswer: -100220121020020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o(s) be the second derivative of -s**6\/3780 + s**5\/630 + 2*s**4\/63 + 22*s**3 - 94*s. Let l(k) be the second derivative of o(k). Factor l(h).\nAnswer: -2*(h - 4)*(h + 2)\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) -1.2  (b) -41  (c) 2.9  (d) 5  (e) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {s: 1, c: 3, a: 3}. What is prob of picking 2 a and 1 s?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -2632050 and 5?\nAnswer: -13160250","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is -41616\/13 < -3202?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 34568989 and 91?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 123136, 246234, 369332, 492430, 615528, 738626?\nAnswer: 861724","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -107\/60 and 121\/20?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Convert 8126.553 millilitres to litres.\nAnswer: 8.126553","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*g - 192 = -4*d, 458 = g + 4*g - d. What are the prime factors of g?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose g + 1 = 2*c, 1 = g + 5*c - 5. Suppose 0 = -3*d + 3*i + 39, 2*i - g = -d - 0*i. Suppose 2*a + 245 = d*a. What is the tens digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: 47595 - -21480984\nAnswer: 21528579","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -1436 - -2585. Calculate the remainder when w is divided by 24.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 6536 < 84970\/13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -32*n - 246 - 682 = 0 for n.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 9.99 - 10.497. Let v = -8.3 - -8.83. Let o = v + f. What is o rounded to 2 decimal places?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: -301125 divided by 5\nAnswer: -60225","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -2709\/5 + 45673\/85. Let a = -510604 - -26041715\/51. Let x = a - f. What is the common denominator of x and 75\/8?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(i) be the second derivative of -i**5\/20 - 5*i**4\/4 - i**3 - 35*i**2\/2 - 11*i - 2. What is the remainder when y(-15) is divided by 15?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(u) = -10*u + 796. Let q be b(77). Let f be (-22)\/(-20) - (0 - (-1)\/2). Which is smaller: q or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*i = -4*i. Suppose 5*l = i, 5*v - 3*l = -0*v - 15. Let s = -33537 - -234757\/7. Put 1\/5, v, 2\/3, s in descending order.\nAnswer: 2\/3, 1\/5, s, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be -1*(-38)\/(-2)*-7. What is the highest common factor of s and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(l) = -2*l. Let s(c) = 16*c + 11. Let n(u) = -u - 1. Let v(t) = -22*n(t) - 2*s(t). Calculate f(v(p)).\nAnswer: 20*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6898*r - 74559 = -7755*r for r.\nAnswer: 87","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 64754639 a multiple of 75?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 202 - 39.2. Let n = 192 - c. What is n rounded to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 775712392?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -6 from -59.\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -64*g - 15042 = -34*g + 108*g for g.\nAnswer: -109","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 212232355 is divided by 266.\nAnswer: 265","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Factor -r**4 + 322*r**3 + 55620*r**2 + 2685150*r + 41644125.\nAnswer: -(r - 457)*(r + 45)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -7961*d**2*h**2*q - 1582*d**2*h**2 + 3*d**2 - 2*d*q + 11160*d - 2*q - 122 wrt h.\nAnswer: -15922*d**2*h*q - 3164*d**2*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -6413 divided by 53.\nAnswer: -121","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 0 - 1 - 1092\/(-21)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 245.1 - 245. Let x = 9 - 12. Let p = -1 + 0.5. Which is the closest to 1\/3?  (a) p  (b) x  (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(s) = 3*s**2 - s - 3. Let k be h(3). Let c be k\/2 - (-3)\/(-6). Let t = c + -2. Does 8 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from zsns. Give prob of sequence sz.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 n and 1 x when two letters picked without replacement from yxynn?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 173785 times -0.01?\nAnswer: -1737.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -65\/14 and -33\/1517374.\nAnswer: 10621618","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (0 - -2) + -6 + (-3 + -4 - -4)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*h - 4*y = 18, 5*h + 13*y + 33 = 7*y for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let y(a) = a**2 - 5*a + 1. Let m(f) = 2 - f + f**2 - 1 - 2 + 0*f**2. Let x(s) = -2*m(s) + y(s). Let z = -6 + 3. Calculate x(z).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -58\/15 and 4 - 2\/14*46\/6.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is three tenths of a meter in centimeters?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from uouuuuguuhuguoru. Give prob of picking 1 r and 2 u.\nAnswer: 9\/112","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let p(j) = 7*j. Let q(h) = -12649844*h. Determine q(p(y)).\nAnswer: -88548908*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -109*g + 106*g - 6. Suppose -4*k + f = -422, -k + 4*f - 307 = -4*k. Let u = 523\/5 - k. What is the fourth biggest value in -2\/17, g, -1, u?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-226)\/(-565)*(-10)\/12. Which is greater: 232 or p?\nAnswer: 232","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 4710478 and 36034.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let c(h) = -h**2 + 12*h - 22. Determine c(6).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let f(w) = w**2 + w. Let x be f(0). Suppose x = -2*c - 3*c + 5*d + 35, -19 = -c - 3*d. What is the remainder when 27 is divided by c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 10 - (-4 + 5 + 11 + -5 + 0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 42 - 3. Let h = -23 + c. Is 16 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4748929?\nAnswer: 4748929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let y(a) = 2*a - 13. Let c be y(9). Suppose -3*t + c*t = 10. Solve 3*f - 8 = -5*g + f, 5*f - 20 = t*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 4884 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 56 minutes before 6:51 AM?\nAnswer: 5:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence asqs when four letters picked without replacement from aaswwawasaaqqqaaaaa.\nAnswer: 11\/15504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 66431 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 412.7 - 413.7. Let i(d) = -d**3 - 9*d**2 - 4. Let t be i(-9). Let z(r) = r + 10. Let j be z(-10). What is the third biggest value in j, 4, w, t?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -w - 12 = -5*w. Suppose 0 = -2*q + 3*b + 88, q - 7 = -w*b + 19. Suppose 4*g - 2*g - q = 0. List the prime factors of g.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 121*d - 116*d + 75 = 0. Let t be d\/(-12) + (-2)\/(-8)*1. Let g = 1.96 - -0.04. Sort t, 2\/7, g.\nAnswer: 2\/7, t, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 2383336.2 to the nearest 100000.\nAnswer: 2400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Divide -52004 by 20.\nAnswer: -13001\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-24 + 44 - 19 - 4*y)*(2*y + y - 4*y).\nAnswer: 4*y**2 - y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let l(m) = -m**3 - 22*m**2 + 19*m - 98. Determine l(-23).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 31489603.\nAnswer: 61, 516223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: How many nanoseconds are there in fifty-seven fifths of a microsecond?\nAnswer: 11400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 637 a factor of 981617?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let d**4 - 3*d**3 - 4*d**2 + 12*d = 0. Calculate d.\nAnswer: -2, 0, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 31284 is divided by 29.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*f = -6*f. Solve f = -10*v - 62 + 12 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 203231 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-3)\/10)\/((-300)\/1250).\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*r**2\/9 + 278949949*r\/3 - 209212462\/9.\nAnswer: (r + 209212462)*(4*r - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {q: 6}. Give prob of sequence qqq.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -r - 128 = -4*j + 257, 4*j - 390 = 2*r. What is the remainder when 156 is divided by j?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in 30, 9, -8, 0.3, -4, 2\/5?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -15*p**4 + 143*p**3 - 107*p**2 - 746984*p?\nAnswer: -180*p**2 + 858*p - 214","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {o: 2, a: 4, n: 7, l: 1}. What is prob of picking 3 o and 1 n?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*v = 5*n - 375, -4*n + 0*n = 2*v - 298. Let b = 12 - 64. Let x = n + b. Does 14 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 179*a**5 + 49138*a**4 - a**2 - 8493444?\nAnswer: 10740*a**2 + 1179312*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let v(d) = -53*d**3. Let w be v(1). Let x = -5 + w. What are the prime factors of 3\/(-6)*x\/1?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2318382 divided by 4?\nAnswer: 1159191\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*n + 14 - 4 = 0. Let h(z) = -z**3 - 6*z**2 - 6*z - 4. Let j be h(n). Let y = 7 - 5. What is the third biggest value in 0.5, j, y?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 2477?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 4371*q**2*z + 18858*q**2 + 3449*q*z + 251 wrt z.\nAnswer: 4371*q**2 + 3449*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5525 - 1378 - 1379 - 1387 - 1381 - 244*r + 253*r.\nAnswer: 9*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 84 and 186132.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 2534 a factor of 334127?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let a(l) = 1955*l + 12. Let o(n) = 156399*n + 962. Let t(k) = 481*a(k) - 6*o(k). Let c(f) = -f**2. What is t(c(b))?\nAnswer: -1961*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in 464.0746kg?\nAnswer: 464074600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n(l) = 250*l + 1. Let f(r) = -250*r - 6. Let a(v) = -2*f(v) - 3*n(v). Let q be a(-5). What is q rounded to the nearest one hundred?\nAnswer: 1300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -19 + 22 = n - 3*h, -70 = -5*n + 4*h. Solve 0 = -3*f + n - 12 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 11073 is divided by 213.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*i - 2*q = 51, -i = -2*q - 17 + 2. Suppose 3*k - i = 2*k. Calculate the remainder when k is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(o) = 1233*o**2 + 3529*o + 3. Give z(-3).\nAnswer: 513","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 92 - 73. Suppose -5*k = n + 6. What is the third biggest value in -3\/2, 23, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 16567625 a multiple of 496?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -183 + 181.05. Let n = y + 1.91. What is the closest to n in -3, 1, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be ((-8)\/(-6))\/((-6)\/(-45)). Suppose -2*t + 5*j + 31 = 0, -2*t - r = 3*t + 5*j. Is t a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(h) = h**3 + 34*h**2 + 64*h - 48. Let p be x(-32). Let b be 2 + p\/((-28)\/7). What is the greatest common factor of 182 and b?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t**(11\/2)*t\/(t\/(t*t**(-4)*t))*t)**36*(t*t*t*t**3*t*t)\/(((t\/((t\/t**(1\/4))\/t))\/t)\/t)*(t*t**6*t)\/t**6 assuming t is positive.\nAnswer: t**(691\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 20881*s**5 + 633*s**2 + 11 wrt s?\nAnswer: 1252860*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let o be ((-16)\/(12\/3))\/1. Let r be (o\/(-18))\/((-3)\/(-27)). Suppose -6*u = -3*f - u + 30, 0 = -f - r*u - 1. Solve -5 = 5*j + f*m, -2*m = -j + 5*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*f - 4 = 2 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 4022915?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.063563 to 3 dps.\nAnswer: -0.064","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let c(w) be the first derivative of 4*w**3 - 3*w**3 + 2*w + 9*w - 3*w**2 + w**3 - 27. Is c(6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 382*n**2 + 283*n**2 - 96*n**2.\nAnswer: 569*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: (-38)\/((-1710)\/27)*-130\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -1a36b1 (base 15) to base 13\nAnswer: -3594a3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r(n) = -3*n**2 + 36*n + 7. Give r(12).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 992627490?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 10 and 2461388?\nAnswer: 12306940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 55 and 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 94610\/87 or 1087?\nAnswer: 94610\/87","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let l(z) be the second derivative of -3*z**3 - z**2\/2 + 2*z. Let n = -8236 + 8251. Calculate the remainder when l(-2) is divided by n.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:51 PM and 11:03 PM?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -13.4 - -12.5. Which is the second smallest value?  (a) 0.5  (b) l  (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 30 and 99438.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 9798 less than 1.5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((h**(-3\/2)\/h**1)\/(h**2*(h**(-2\/15)\/h)\/h))**(2\/43) assuming h is positive.\nAnswer: h**(-71\/645)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 139\/6 and 31\/175.\nAnswer: 1050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let p(h) = -h**3 - 5866*h**2 + 123641*h - 325. Determine p(21).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 465956 and 10.12?\nAnswer: 4715474.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1495 is divided by 12?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 544\/56 + 2\/7. Is y\/(-4)*(-112)\/20 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -21\/10 and 68\/97195.\nAnswer: 194390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Round 183.115008 to 2 dps.\nAnswer: 183.12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let w(h) = 66 - 149 + 84. Let d(v) = v - 2. Give 6*d(t) + 14*w(t).\nAnswer: 6*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Divide 3128 by 184.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let r(k) = 6*k**3 + 17*k - 112. What are the prime factors of r(7)?\nAnswer: 5, 7, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5*(2*sqrt(567) + sqrt(567))*1.\nAnswer: 135*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 147, 170, 211, 270, 347?\n\"Answer: 9*z**2 - 4*z + 142","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is (71 - 25 - 56) + -49?\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(5) + sqrt(10)\/(sqrt(6)\/sqrt(3)) + sqrt(5) + 3*(0 + sqrt(5)) - ((sqrt(5) - (0 + sqrt(5) - sqrt(5)))*-2 - -3*sqrt(125)))**2*6.\nAnswer: 1470","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let m(t) = t**2 + 10*t + 9. Suppose 3*u = -v - 5 - 1, -16 = 4*u. Let c(n) = -n**3 + 5*n**2 + 3*n + 10. Let o be c(v). Give m(o).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1558963248 to the power of 1\/2, to the nearest integer?\nAnswer: 39484","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 448*j**3 - 2 + 10*j - 1887*j**2 + 3781*j**2 - 1892*j**2 - 131*j**3 - 3 wrt j.\nAnswer: 1902*j + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -50972, -101945, -152918, -203891, -254864?\nAnswer: -305837","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2 = -b - 2. What is the tens digit of 32*(-2 - (b + 0))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(t) be the second derivative of t**3\/6 - t**2\/2 - 103*t. What is w(-7)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4648 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let p(a) be the third derivative of a**7\/105 - 91*a**5\/60 - 11*a**4\/24 + a**3\/3 - 42*a**2 + 5*a. Find the second derivative of p(n) wrt n.\nAnswer: 24*n**2 - 182","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*m + m - 9. Let z(y) be the second derivative of y**5\/20 - y**4\/6 + y**3\/6 - 2*y**2 + 3*y. Is 6 a factor of z(m)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1d (base 14) to base 8.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 1711362 a multiple of 115?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 13*n + 18*n**3 - 11*n**3 + 151*n - 27*n - 5*n**3.\nAnswer: 2*n**3 + 137*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -103, -117, -131, -145, -159?\nAnswer: -173","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b(p) = 188*p**2 - 6*p - 7. Let q(u) = 373*u**2 - 11*u - 13. What is -11*b(g) + 6*q(g)?\nAnswer: 170*g**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 45342 and 1220112?\nAnswer: 13421232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -3393*v - 202711 - 153554 for v.\nAnswer: -105","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -9 - (32 + -22 - 18).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.1, 4, 5, 1\/3 in decreasing order.\nAnswer: 5, 4, 1\/3, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -2986 + 2978. Let d(k) = -k**3 - 8*k**2 - 10*k - 2. Determine d(o).\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*f**2 + 19336*f + 116088.\nAnswer: -2*(f - 9674)*(f + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 0 and -0.00817?\nAnswer: 0.00817","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 625, 890, 1155, 1420?\nAnswer: 1685","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b(z) = 3*z - 9. Let n(f) = -f + 2. Let j(w) = -2*b(w) - 9*n(w). Let g(v) = -29*v + 19*v + 42*v - 29*v. Determine g(j(y)).\nAnswer: 9*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 3100923?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 67*x = 54*x + 65. Solve -5*w + 2*q + 35 = 7*q, -q + 23 = x*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -233 and 123622?\nAnswer: -28803926","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let s(m) = 352*m - 58. Let u be s(15). Let r = -2799 + u. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 63 and 399.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1*(sqrt(7) + (sqrt(1008) + -5)**2 - sqrt(7)).\nAnswer: -120*sqrt(7) + 1033","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Express -1126*o - 488*o - 481*o - 922*o in the form m + s*o and give s.\nAnswer: -3017","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 4339 to the power of 1\/3, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 1654240 a multiple of 224?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-6887 + 6887 - 106*u)*(u**3 - 3*u**3 - 10 + 5).\nAnswer: 212*u**4 + 530*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1458919.\nAnswer: 7, 11, 18947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1 in 0, 0.02, 4, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 624 minutes after 9:54 AM?\nAnswer: 8:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: -19.5417 + 29545\nAnswer: 29525.4583","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 100 and 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*t - 50 = 2*n, -n = 5*t - 18 - 48. Let y = -12 + t. What is the tens digit of (-3)\/3*y - -19*1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 2508551*y**4 - 2*y**2 + 12*y - 183172 wrt y?\nAnswer: 30102612*y**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 z, 1 d, and 1 y when three letters picked without replacement from {z: 1, d: 1, g: 1, j: 1, y: 2, e: 1}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 52 + -37. What is the least common multiple of 3 and u?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the seventh smallest value?  (a) -15.3  (b) -0.1  (c) -7\/5  (d) -0.3  (e) -0.4  (f) -1  (g) 0.3\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let x(y) = -5*y**3 - 7*y**2 - 6*y - 12. Let s be x(-5). Let b = 430 - s. Is -42 less than b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-91)\/39 + (-640)\/240. Let y = -9 + 6. Does r = y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence nii when three letters picked without replacement from {a: 2, n: 1, x: 3, p: 3, i: 2, q: 4}?\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((t**(-2\/9)\/t*t*t*t**(-2))\/((((t*t\/(t\/(t*t*t**5)))\/t)\/t)\/t**(-3\/5)))\/(t**(-11\/8)\/t**(-5\/9)) assuming t is positive.\nAnswer: t**(-2521\/360)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"}
{"text":"Question: What is -35 - (-17 + (-10 - -30) - 8)?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -u + 2*k + 18 = 0, 31 = -u - 4*k + 7 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let x(p) be the third derivative of -p**5\/60 - p**4\/4 - 5*p**3\/6 - 2*p**2. Let m be x(-4). Suppose -4*b + m*b + 30 = 0. List the prime factors of b.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(y) = 9*y**2. Let h(m) = m. Let z(v) = v - 1. Let b(c) = 6*c - 8. Let n(s) = b(s) - 8*z(s). Let t(d) = 6*h(d) + n(d). Give t(o(x)).\nAnswer: 36*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 4, -5, 0.2, 784?\nAnswer: 784","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 0 - 2 - -1 - -97. Let s(m) = m**2 + 12*m + 6. Let o be s(-8). Let w = -14 - o. What is the greatest common divisor of w and x?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(1470) - sqrt(1470)*1 - sqrt(1470))\/sqrt(6).\nAnswer: -7*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -32 + 174?\nAnswer: 142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 5 or 77\/12?\nAnswer: 77\/12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8 = -j + 3*j. Suppose f + j*r + 52 = 5*f, -r = -3*f + 31. Suppose 64 - 1603 = -f*n. Calculate the greatest common factor of 19 and n.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is n in 2*n**4 + 2866*n**3 + 108808*n**2 + 105944*n = 0?\nAnswer: -1394, -38, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let g(p) = 934*p - 8. Let a(y) = -465*y + 3. What is 10*a(d) + 4*g(d)?\nAnswer: -914*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 4483?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1817398?\nAnswer: 2, 11, 82609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Determine q, given that 9*q**5\/5 - 769*q**4 - 14698*q**3\/5 + 18828*q**2\/5 + 58648*q\/5 - 13792\/5 = 0.\nAnswer: -4, -2, 2\/9, 2, 431","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -197 - -281. Let z be (-77)\/i + 4\/6. Let j = -7 + 4. What is the closest to -2\/5 in -4, z, j?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (18 - 18 - 7*a)*(233 + 192 + 144 + 232 - 1).\nAnswer: -5600*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 938784*w - 938755*w - 9*w**2 + 50*w**2.\nAnswer: 41*w**2 + 29*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 35 + -50. Let o = l + 15. Solve o = -2*c + 2 - 8 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -16879756*d**2 - 3813933*d wrt d?\nAnswer: -33759512","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 204 = 5*k - 216. List the prime factors of k.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (44 + -1 - (-292 + 335)) + -2 + 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 2.39 - 2.09. Which is the closest to 2\/3?  (a) 2  (b) x  (c) 35\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 349\/6 - 176\/3. Let d = 17.5 - 45.5. What is the nearest to 0 in d, s, 3?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 6701141831?\nAnswer: 6701141831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let y(f) = 13*f**2 + 5622*f + 2. Let h(c) = 3*c**2. Give y(h(d)).\nAnswer: 117*d**4 + 16866*d**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: -35 (base 12) to base 11\nAnswer: -38","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 25\/9177732 and -151\/4914?\nAnswer: 835173612","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let l(q) = 3*q**2 - 52*q - 6. Let w be l(19). Let a = 120 - w. List the prime factors of a.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -1458 + 4381\/3. Let m(v) be the first derivative of 5 + 0*v**2 + 4*v + o*v**3. What is the first derivative of m(b) wrt b?\nAnswer: 14*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 g and 1 t when three letters picked without replacement from {g: 10, t: 4}.\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, 0.3, -17, 12\/17, 2\/15 in increasing order.\nAnswer: -17, -1, 2\/15, 0.3, 12\/17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1491784 divided by 10969.\nAnswer: -136","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 8, 26, 52, 86, 128, 178?\nAnswer: 236","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w(i) = -i + 1. Let f(h) = 6*h - 6. Let p(v) = -f(v) - 8*w(v). Let g(s) = s**3 - 78*s**2 + 1035*s + 115. Let o be g(61). Give p(o).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.3724311nm to centimeters.\nAnswer: 0.00000003724311","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-6*x - 4 + 2 + 0 + 0*x + 2*x - 3*x + (0*x - 4*x + 5*x)*(3 + 0 - 1) + 2*x + 0 + 0)*(x**2 + 5*x**2 - 4*x**2)*(x + 2*x + x).\nAnswer: -24*x**4 - 16*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 7944332 and 99.\nAnswer: 71498988","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Divide -4484756 by 2.\nAnswer: -2242378","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 32147244 to the nearest integer?\nAnswer: 5670","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -6978167, -6978169, -6978171?\n\"Answer: -2*r - 6978165","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.0048, -4, 0.5 in decreasing order.\nAnswer: 0.5, -0.0048, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let n be -7*8\/(-252) - (-5600)\/(-9). Let o = n - -1782. Does 10 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l*l\/l**29)\/(l*l*l**(-3)) assuming l is positive.\nAnswer: l**(-26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -44, -189, -432, -773?\nAnswer: -1212","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 8997.993 decades?\nAnswer: 1079759.16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*j + 2*j = 8. Factor -7*p**j + 34*p**2 + 5*p - p**4 - 18*p**2 + 3*p**3.\nAnswer: -p*(p - 5)*(p + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 16 is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 27432.\nAnswer: 2, 3, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 0  (b) -8\/15  (c) -5  (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 15*c**5 - 1053*c**4 - 990*c**3 + 9690*c**2 + 7695*c - 1917 = 0 for c.\nAnswer: -3, -1, 1\/5, 3, 71","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 851, 1736, 2621, 3506, 4391, 5276?\nAnswer: 6161","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = n + 2*d - 6, 3*n - 2*n - 2*d + 14 = 0 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-126)\/77)\/((-42)\/308)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 15*56\/1540*-33*30\/(-27)\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.393*0.6.\nAnswer: 0.2358","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*y = 4*g - 68, -6686*g + 6689*g = 48 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is -61 + 49 + (1 - 3 - -5) + 1?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 828 + -828.027. Let d = y - 0.043. Which is the nearest to d?  (a) 1\/5  (b) -3\/7  (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -0.09, -0.1, -0.3, 24, -4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let u(w) = -9*w**2 - 84*w - 26. Let s be u(-9). Let n be (28\/(-6) + -2)*18\/15. Sort s, 3, n in decreasing order.\nAnswer: 3, s, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -857 * -624.36.\nAnswer: 535076.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 310810000 rounded to the nearest one million?\nAnswer: 311000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 4\/22 - 1422\/198. Let a(q) = -q**2 - 8*q - 5. Let y be a(l). Solve -y*x + 83 = 81 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 79222 or 79244?\nAnswer: 79222","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -5\/9 in -0.1, -0.4, 23, 0?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 98801 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-3022)\/(-22665)*((-1)\/2)\/(9\/(-54)*3).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4*((-2 + (sqrt(99)*2)**2 - (sqrt(99) + -2*sqrt(99))*2) + 1)*-2 + 3 + 3.\nAnswer: -3154 - 48*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 5  (b) -6  (c) 0.4  (d) -514\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*d**5 - 760*d**4 + 3593520*d**3 - 1017209600*d**2 + 4011392000*d = 0. What is d?\nAnswer: -1036, 0, 4, 440","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Find n such that -2*n**5 - 3*n**4 + 9*n**3 - n**2 - 3*n = 0.\nAnswer: -3, -1\/2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let z(r) be the first derivative of -r**3\/3 - r**2\/2 - 96. Let s(a) = 7*a**2 + 5*a - 1. What is s(h) + 6*z(h)?\nAnswer: h**2 - h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let r(m) be the first derivative of -3*m**4\/4 - 3*m**3 - 9*m**2\/2 - 3*m - 22. Factor r(t).\nAnswer: -3*(t + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -435285691*x**3 + 2*x**2 - 36*x + 2994909?\nAnswer: -2611714146","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 62900269 to the nearest integer?\nAnswer: 7931","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 3\/(-36)*3 + (-930)\/(-8). What is the greatest common factor of 29 and r?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 37 a factor of 1061?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let z(l) be the second derivative of l**3\/6 + 3*l + 1. Let k(f) = 138*f. What is z(k(o))?\nAnswer: 138*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -31\/80041 and 28\/117.\nAnswer: 720369","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Work out -88 * 6.1.\nAnswer: -536.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:39 PM and 7:25 AM?\nAnswer: 466","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*t - 2 = -14. Let n(k) = -k - 10. Let v be n(-10). What is the nearest to 0.1 in -0.3, t, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -11\/31644 and -76\/879?\nAnswer: 31644","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 30644490 is divided by 766112?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*x + 1 + 1 = 3*n, -5*n = x - 12. Suppose 112*d - 133*d - 7 = 245. What is the tens digit of 295 - (x\/(-3))\/(d\/(-36))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2*(-4*(-1 + sqrt(242)) + sqrt(242) + -5 + sqrt(242)*-5)**2.\nAnswer: 352*sqrt(2) + 30978","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 22 + -12. What is the remainder when g is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 68037 is divided by 315?\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*p = -23 - 13. Let y = -9 - p. Calculate the greatest common divisor of 63 and y.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is r in -4*r**3 - 17536*r**2 - 139996*r + 157536 = 0?\nAnswer: -4376, -9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 54554.3 or -4?\nAnswer: 54554.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 432, 861, 1290, 1725, 2172?\n\"Answer: n**3 - 6*n**2 + 440*n - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Product of 2 and -20373294.\nAnswer: -40746588","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 t and 1 y when two letters picked without replacement from {u: 3, d: 1, y: 5, t: 1, e: 3, a: 2}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -20 = -o + 6*v, -3*o - 9 = -46*v + 51*v for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is -2264265403 rounded to the nearest one hundred thousand?\nAnswer: -2264300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*i - 3*b + 8*b - 65, i - 5*b = -29. Let f = -13 - i. Is 0 at least as big as f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 60\/225*(-135)\/(-54).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -1028 - -1029. Which is the nearest to k?  (a) 0.3  (b) 2\/9  (c) -13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 3.96 - -0.04. Let o = -13.7 - 0.3. Let i = -15 - o. Put -0.4, s, i in descending order.\nAnswer: s, -0.4, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*b - 5*b - 4*t - 740 = 0, 0 = 3*b - 5*t - 2241. What is the highest common factor of 141 and b?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(g) = 329*g + 149. Let n(r) = 4*r**2 - 13*r. Determine n(u(d)).\nAnswer: 432964*d**2 + 387891*d + 86867","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from aaaadadaa. Give prob of sequence aa.\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -8658, -16691, -24724, -32757, -40790?\n\"Answer: -8033*d - 625","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 12024 and 3222.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 6004\/(-2998) - (-11 - -9). Let n = -100361\/26982 + d. What is the common denominator of n and 57\/16?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-2*sqrt(624))\/sqrt(12) - (sqrt(260) + 5*sqrt(260))\/sqrt(5))\/((-2*sqrt(500))\/(sqrt(25)\/sqrt(125) - sqrt(5))).\nAnswer: -16*sqrt(13)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 14\/(-70) + (-13606)\/(-5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*a - 34 = -5*j, -12*j - 16 = -16*j + 4*a for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let f(d) = 4*d**2 + 186*d - 2807. Let x be f(12). Let o = -259477\/99 - -2621. Is x > o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4 + (4 - -14) + (-48 - -47).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 17750 - -474?\nAnswer: 18224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Convert 44632 (base 8) to base 3.\nAnswer: 221211212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-8)\/10 - (-13090)\/550. Solve -c - 4*n - t = -2*c, -4*n - 20 = 0 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 1275201 and 117?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let o(c) = c**3 - 16*c**2 - 8*c - 161. Calculate o(17).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -1044 + -355661?\nAnswer: -360035","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 2\/6059 + -127669\/1302685. Let z = -3181\/430 - f. Find the common denominator of 24\/11 and z.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(t) = -131*t + 154*t - 21*t. Let u(o) = 4*o - 48. Let a(d) = 7*d - 95. Let r(y) = 3*a(y) - 5*u(y). Give r(b(q)).\nAnswer: 2*q - 45","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 5545927056?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 8287 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 4.406 rounded to the nearest ten?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Express (0*r - 3*r + 0*r)*(-19*r + 123*r**2 - 13*r**2 + 17*r) in the form s + i*r + x*r**3 + g*r**2 and give g.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let k(s) = -s**3 + 19*s**2 - 2*s + 19. Let d be k(11). Suppose 0 = -15*l + 16*l - d. List the prime factors of l.\nAnswer: 5, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 27233 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -630, -655, -680, -705, -730, -755?\n\"Answer: -25*n - 605","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1790*o = 1785*o + 8*x - 4, -3*x - 3 = -3*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 5578888?\nAnswer: 2, 7, 99623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-6)\/4)\/((-154)\/924)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-23 - 7 - -14) + 16 + -56?\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 75 + 31\/2*j + 1\/2*j**2 = 0. Calculate j.\nAnswer: -25, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 3*r - 2*r**3 + 3*r - 3*r + 4*r**3 as z + i*r + f*r**2 + g*r**3 and give i.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -15 - 473*m + 61 - 23 + 13*m**2 - 21.\nAnswer: 13*m**2 - 473*m + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*h - 5817 = -5*h - 2256. Calculate the least common multiple of h and 9.\nAnswer: 10683","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 17\/3?  (a) -2  (b) -41  (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*a = 23*o - 25*o + 14, 3*a = -2*o + 18. Solve 0 = -2*p - o*p + 15 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 192c8 (base 13) in base 6?\nAnswer: 1014032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find x such that -2*x**4\/3 - 11*x**3\/3 + 7*x**2 - x\/3 - 7\/3 = 0.\nAnswer: -7, -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 76066*b**3*m + 19*b**3 - 2*b**2*m + 3*b**2 - 8*b*m + 3*b - 6*m wrt b?\nAnswer: 456396*m + 114","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 0.06 + 4.94. Let n = 0.777 + -282.777. Let i = -282 - n. Which is the closest to 1\/4?  (a) y  (b) 4  (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -245957.0234 rounded to the nearest 10?\nAnswer: -245960","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1584\/(-616) - (-3144)\/1288?\nAnswer: -3\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:47 AM and 6:39 AM?\nAnswer: 292","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 6 (base 9) in base 5?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -0.2 + 1.2. Let c(j) = -j**3 - 18*j**2 - 19*j - 35. Let v be c(-17). What is the nearest to v in -5, 0.4, q?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00267784521 rounded to 4 decimal places?\nAnswer: 0.0027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let p be -14*2\/4*-1. Let d = p + -3. Factor 3*v**3 - v**2 + 0*v**2 + d*v**2 + v**4 + v.\nAnswer: v*(v + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 471476083 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (2 - 0) + -61 + 32 + 31?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 113269039*m + 0*m**2 - m**3 + 0*m**2 + 0*m**3 - 113269039*m.\nAnswer: -m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is -3238 times 5?\nAnswer: -16190","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4725267.\nAnswer: 3, 137, 11497","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let i(k) be the third derivative of -5*k**4\/24 + k**2. Let b(d) = 3*d. Calculate b(i(q)).\nAnswer: -15*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (14 + (-9 - -6) - 21) + 16.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*v - 2*s - 15 = 0, 0 = -3*s - 10 - 5. Let x = 29.86 - 28. Let p = x + -1.76. What is the nearest to p in 0.4, -0.4, v?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 49\/5 of a day in minutes?\nAnswer: 14112","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round 8441982000 to the nearest one million.\nAnswer: 8442000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 12817084.\nAnswer: 2, 7, 653, 701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {r: 1, h: 3, q: 4}. What is prob of picking 3 h?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 1122130330103 + 20?\nAnswer: 1122130330123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-750)\/1170)\/((-1125)\/135)?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor -a**2 + 2590*a - 749656.\nAnswer: -(a - 2258)*(a - 332)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -5 in 0.1, 1\/5, 21, -0.23?\nAnswer: -0.23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00641372728 rounded to 5 decimal places?\nAnswer: 0.00641","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -3\/7  (b) 5  (c) -1.3  (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -13 = -13*h - 52 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Express (44 + 142 - 20)*(7*q + 33*q - 23*q + 44*q) in the form f*q + x and give f.\nAnswer: 10126","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -193*l**2*s + 4*l - 11*s wrt l?\nAnswer: -386*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let r(m) be the second derivative of -17\/4*m**4 - 1\/2*m**2 + 35*m + 1\/3*m**3 + 0. What is the second derivative of r(c) wrt c?\nAnswer: -102","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -1 - -4056444?\nAnswer: 4056443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 2*(0 + -2)\/(-2). Let n(p) = p**2 - 69*p + 1083. Let x be n(45). Solve 3*m - 3*y = x, -4*y + 3 - 31 = u*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -54524*x + 0*x**3 - 2*x**3 + 54644*x.\nAnswer: -2*x**3 + 120*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -40 + 43. Solve 0 = -a + u*g, -2*g = a - 2*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(c) = c**2 + 9*c - 10. Let a = 12 - 21. Let b be v(a). Let z = b - -29. What is the units digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -2\/13  (b) 0.43  (c) -0.2  (d) -0.4  (e) 0  (f) -3702\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 z when two letters picked without replacement from zzzr?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -1.68 + 1.67999732. Round j to 7 dps.\nAnswer: -0.0000027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 719?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(816)\/sqrt(3) - -5*sqrt(17)*-6.\nAnswer: -26*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let f be ((-2)\/1)\/((-4)\/8). Let i = -491 + 510. Suppose -10*b = -i*b + 36. Solve -8 = -3*a - a + 3*l, 2*a - b*l - f = 0 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -i**3\/5 - 2082*i**2\/5 - 8307*i\/5 + 2078 = 0.\nAnswer: -2078, -5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let v(k) = -2*k**2 + k + 1. Let a be v(-2). Let w(t) = -t**2 + 3*t - 2. Let f(i) = -2*i**2 + 7*i - 4. Determine a*w(y) + 4*f(y).\nAnswer: y**2 + y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 16*s + 22*s**3 - 7*s**3 - 16*s**3.\nAnswer: -s**3 + 16*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let d(q) be the first derivative of q**6\/18 + 3*q**5\/5 + 7*q**4\/6 - 34*q**3\/9 - 5*q**2\/2 + 25*q\/3 + 135. Determine f so that d(f) = 0.\nAnswer: -5, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -42*f + 42*f - 10*f**2.\nAnswer: -10*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 122 + 66. Let k = -188.3 + d. Which is the closest to -1?  (a) -3\/7  (b) k  (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 7, -5, -13, -11, 7?\n\"Answer: o**3 - 4*o**2 - 7*o + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 27.3 + -407.\nAnswer: -379.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 g and 1 t when four letters picked without replacement from gttbtbgtttttgbtgtbgg?\nAnswer: 40\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -865\/77 - -144\/11. Calculate the common denominator of n and 17\/7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 3 + (-85)\/25 + (-356)\/10. Let g = 62 + d. Calculate the greatest common factor of g and 260.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((s\/((s\/(s\/((s\/s**16)\/s))*s)\/s))\/(((s\/(s**(5\/7)*s*s))\/s*s)\/s))**(-39\/4) assuming s is positive.\nAnswer: s**(-2691\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 86*k - 15*k = 187559 + 54125. Is k a multiple of 52?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 41*s = 52*s - 86713. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-5)\/((-40)\/(-6)))\/((-1)\/(-4))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -18 - 36 - 1856*r + 54 - 17*r to the form w + x*r and give x.\nAnswer: -1873","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let m(u) = 25*u**2 - 5*u. Let d(f) = 38*f**2 - 7*f. Give 5*d(p) - 7*m(p).\nAnswer: 15*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5 + 3 + 0 + 3 + sqrt(176) + sqrt(176) + -2*sqrt(176)*6 + 1)**2.\nAnswer: -160*sqrt(11) + 17604","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -6*k**3 - 6*k**3 + 10*k**3 - 7*k**3 + 12*k**3.\nAnswer: 3*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let y(s) = 607*s**2 - 10*s. Let n be y(2). Calculate the greatest common divisor of n and 56.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 22*a + 195*a + 204*a = 5052 for a.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*f + f = 0. What are the prime factors of (2 + -3)*-13 - f?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2102683?\nAnswer: 11, 23, 8311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is (3*(-4)\/(36\/(-15)))\/1?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence gsl when three letters picked without replacement from gsgqqqqlsgh?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -1.36 + 2.66. What is the fourth biggest value in 1, t, 0, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -8 - (1 - 7 - (-21 + 31 - 14)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -115*i*t**5 - 175*i*t**4 - 3*i*t - i + 3*t**4 - t**2 - 26*t wrt t.\nAnswer: -6900*i*t**2 - 4200*i*t + 72*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-6)\/8*(2 + (-40)\/28). Let o = 5.265 - -0.035. Let k = -0.3 + o. Is k equal to n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 8611442, 8611414, 8611386, 8611358?\nAnswer: 8611330","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m(k) = -k**2 + 16*k + 23. Let l be m(17). Suppose 3*g - l*g = 2*i + 16, 4*g - 17 = 5*i. Let f(h) = 8*h**2 + h - 4. What is the units digit of f(g)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0 in -1, -5, -3808, -10?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 127 is divided by 21?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4 + ((sqrt(28))**2 - sqrt(7)) + sqrt(7) - (sqrt(7) - -4*sqrt(7)*-2).\nAnswer: 7*sqrt(7) + 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let c(p) = p**2 - 2*p + 1. Suppose 4*r - 5 = -r. Give c(r).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -b0 (base 13) to base 6\nAnswer: -355","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f(p) = -4*p**2 + 150*p + 92. Calculate f(38).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 4\/3 + (-13)\/((-195)\/(-20)). Let f(l) = -l**2 + 7*l + 2. Let z be f(7). Solve s*x + 5*x = 10, 0 = -4*i - z*x for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((l**2)**40\/((((l\/l**(1\/9)*l)\/l)\/l)\/l**(5\/6)))**(-1) assuming l is positive.\nAnswer: l**(-1457\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*l - 30 = -5*k, 3*k - 5*l + 489 = 473 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Factor y**3\/6 + 559*y**2\/3 - 748*y.\nAnswer: y*(y - 4)*(y + 1122)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let s(b) = 76*b + 969. Calculate the remainder when s(-9) is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -2*b**3*k**2 + 206*b**3*k + 84*b**3 - 4*b*k**2 - 10805*b*k wrt b.\nAnswer: -12*b*k**2 + 1236*b*k + 504*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (528\/32)\/33*1\/(15\/(-18)).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -396*a + 379*a = -34 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let g(a) = -6*a - 176366. Let q(f) = 19*f**2. Determine g(q(c)).\nAnswer: -114*c**2 - 176366","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 2868845217?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 10.1 - 12.1. Let b = -0.07 - -0.57. Sort b, -0.3, z.\nAnswer: z, -0.3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 109.1951m to micrometers.\nAnswer: 109195100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 335014, 670062, 1005110, 1340158?\n\"Answer: 335048*u - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence wp when two letters picked without replacement from {v: 1, p: 1, n: 2, h: 1, q: 1, w: 1}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 16 - ((-17 - 1) + 36)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 94 - 89. Suppose -9*x = -10*x + 2. What is the remainder when (0\/x - -3) + 2 is divided by h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(r) = -10*r**2 - r. Let c be n(-1). What are the prime factors of 2\/(-9) - 128\/c?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 43 divided by 96.\nAnswer: 43\/96","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.2 in -5, -4, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4 - 3*w + 2 + 6)*(6 - 6 + 11*w).\nAnswer: -33*w**2 + 132*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*a**2 + 4*a**2 - 4*a**2)*(60*a - 6*a + 0*a).\nAnswer: -162*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Factor -6068750*f**3 - 980375*f**2 - 40340*f - 60.\nAnswer: -5*(25*f + 2)**2*(1942*f + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 447\/((-4)\/4)*-3?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-1 - (-4)\/(-1))*3\/6\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (6\/40*-5)\/3.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express 37 - 21 - 16 + 134*n as f*n + c and give f.\nAnswer: 134","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let n(t) = -603*t**2 + 12073*t - 239. Give n(20).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((y\/(y\/(y*y**(2\/21)*y)))\/(y*(y**6*y)\/y))**(2\/27) assuming y is positive.\nAnswer: y**(-206\/567)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify z**(-4)\/z**1*(z**(1\/3))**49 assuming z is positive.\nAnswer: z**(34\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 14.33227 rounded to the nearest 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:12 AM and 8:16 AM?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let y(c) be the second derivative of 8*c + 0 - 1\/6*c**2 + 1\/120*c**5 + 5\/36*c**3 - 1\/18*c**4. Solve y(m) = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 11, 20, 31, 44, 59, 76?\nAnswer: 95","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1 - 1 + 837*a**3 - 1173*a**3 + 8174*a**3.\nAnswer: 7838*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*y - 4*w = 0, -23 = -2*y + 91330*w - 91305*w for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let b(a) = -10*a**2 - 6*a - 2. Let w(z) = -7*z**2 - 5*z - 3. Let d(v) = -2*b(v) + 3*w(v). Give d(-4).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -70498, -140924, -211350, -281776?\n\"Answer: -70426*w - 72","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -5.4 + 0.4. Let t be ((-2)\/(-8))\/(7\/8). Which is the biggest value?  (a) h  (b) -4  (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 550936352?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 1437396 + -857449. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 598141 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: 113 (base 14) to base 11\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a(z) be the third derivative of z**7\/630 + z**6\/180 - 11*z**5\/36 + 11*z**4\/9 + 8*z**3 - 3*z**2 + 2*z. Factor a(f).\nAnswer: (f - 4)**2*(f + 1)*(f + 9)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is (8 - 2) + (0 - -3) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(b) = 6*b**3 + 10*b**2 + 10*b + 10. Let y(w) = -4*w + 31. Let d be y(7). Let s(q) = 2*q**3 + 3*q**2 + 3*q + 3. Determine d*a(f) - 10*s(f).\nAnswer: -2*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is -365921 > -365991?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 k when two letters picked without replacement from {b: 5, n: 10, k: 4}.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Does 14 divide 2000?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 3.1 - 2.6. Which is the smallest value?  (a) 0  (b) 0.1  (c) -0.4  (d) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -1116, 3, 5, 2 in descending order.\nAnswer: 5, 3, 2, -1116","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 30 and 1371?\nAnswer: 13710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 308243619 to the nearest integer?\nAnswer: 17557","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 279 = 8*k + 311 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 131 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 r be 6*2\/24*-1*-134. Suppose -4*m - 2*z + 626 = -1252, 3*z = -3*m + 1410. Calculate the greatest common divisor of m and r.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {g: 7, a: 5, p: 1, u: 3, d: 2}. Give prob of sequence ua.\nAnswer: 5\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is -8 times -47941?\nAnswer: 383528","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -445 - 7211 = -12*i. Calculate the remainder when i is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -14189\/2230 - -14\/223. What is the common denominator of 21\/10 and m?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be -1*((-4)\/(-5))\/(8\/(-20)). Suppose y*p - 3*f = 8386, -8370 = 7*p - 9*p - 5*f. What is p rounded to the nearest one hundred?\nAnswer: 4200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*o + 3*t + 14 = 0, 3*o - 4 = -t - 3*t. What is the first derivative of -2 - g**4 + o*g**4 + 1 wrt g?\nAnswer: 12*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -73 + 50 = 23*q. Sort -5, q, 24 in decreasing order.\nAnswer: 24, q, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(p) be the second derivative of 0 + 1\/3*p**4 + 4\/3*p**2 - p**3 - 1\/30*p**5 + 224*p. Find k, given that j(k) = 0.\nAnswer: 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(171)*-2*-6)\/(sqrt(18)\/sqrt(2)*3) + (sqrt(171)*1*3 + sqrt(171))\/(sqrt(9) + sqrt(9) + (sqrt(441) + sqrt(441) + sqrt(441)*-1 - sqrt(441))))*-1.\nAnswer: -6*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 5 + -2. Suppose 0 = 5*s - 7 - x. Let w = -26 - -36. What is the lowest common multiple of w and s?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence yda when three letters picked without replacement from {s: 6, y: 2, d: 1, u: 3, a: 2, l: 6}.\nAnswer: 1\/1710","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 141 - 33773?\nAnswer: -33632","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2\/5?  (a) -38  (b) -10\/11  (c) -1  (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -25 in -5, 5, 19?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*z = -5*u - 80, -5*u = z + 42 + 33. Let a be 4\/u*196\/18. Let k = a - -139\/36. Sort 2, 0.5, k in descending order.\nAnswer: 2, k, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 17113 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let t(p) be the first derivative of -3\/5*p**3 - 15 + 17*p + 2\/5*p**2 + 7\/30*p**4. Let j(y) be the first derivative of t(y). Let j(l) = 0. Calculate l.\nAnswer: 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*u - 113 = -3*i, -48 = -2*u - 0*i - 4*i. Let j = 35 - u. Let y(z) = z**3 - z**2 + z - 1. Calculate the remainder when y(4) is divided by j.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -116 - -115. Suppose 2*o - 10 = -0*o. Suppose -o*g = -0*g + 30. Put 5, g, x in decreasing order.\nAnswer: 5, x, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(f) = -f**2 - f - 1. Let m(t) = t**2 - 4*t + 6. Determine -4*a(o) - m(o).\nAnswer: 3*o**2 + 8*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.052292241 rounded to five decimal places?\nAnswer: -0.05229","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 17*q + 55*q - 61*q + 61*q.\nAnswer: 72*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 5218343?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2675*g**3 + 2665*g**3 - 5318*g**3.\nAnswer: 22*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Does 24 divide 2136?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -107\/24 and 73\/140.\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 36932027897 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Convert 22.22762mg to micrograms.\nAnswer: 22227.62","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l(t) = -t**2 + 4. Let c(d) be the third derivative of -d**3\/2 + 38*d**2. Let o(r) = -r**3 - 4*r**2 + r + 1. Let m be o(-4). Calculate m*l(w) - 4*c(w).\nAnswer: 3*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 5 + 103. Which is greater: c or 109?\nAnswer: 109","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 68175 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*t - 8. What is the lowest common multiple of 22 and t?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-3)\/5*6\/(-9). Suppose -25 = 4*l - l - 2*x, 5*l - 3*x = -40. Let n = 7 - 7.2. What is the closest to m in l, n, 3?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -6*f**2*x**3 + 1082*f**2*x**2 + 6*x**4 wrt x?\nAnswer: -36*f**2 + 144*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 1001, 4949, 11543, 20795, 32717?\nAnswer: 47321","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -818, -6416, -21562, -51014, -99530, -171868, -272786?\nAnswer: -407042","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*k**5 - 4404*k**4 - 104336*k**3 - 653772*k**2 - 806312*k - 252480 = 0. What is k?\nAnswer: -526, -15, -8, -1, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -118, -133, -166, -223, -310?\n\"Answer: -r**3 - 3*r**2 + r - 115","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 55 a factor of 605?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*l = -3*r - 27, 48 = 4*r - 7*r - 2*l. Let w = r + 16. Solve -2*d = 4*p - 16, 6*d = d + w*p + 16 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 24 + -13. Let f = 11 - q. Let s = 242 + -234. Solve 4*t - s = -f*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -40701*l - 3160 = -40741*l for l.\nAnswer: 79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 20732665 to the power of 1\/3, to the nearest integer?\nAnswer: 275","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose c - 64 = -q, -8*c + 196 = 3*q - 6*c. Suppose 3*j + 6*a - q = 4*a, -4*j + 3*a + 68 = 0. Solve 0 = -2*x - 2*l, -2*l - j = 2*l for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, -2, 1\/6, 27, -4\/9.\nAnswer: -2, -4\/9, 1\/6, 5, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*g + 112 - 109 = 0 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 5457067, 5457090, 5457117, 5457148, 5457183?\nAnswer: 5457222","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -432 - -416. Is 61 a factor of (-365)\/(-2) + (-8)\/c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be -165*(-1)\/(3 + 0). Suppose 2*t = -t - 2*d + y, 2*d - 25 = -t. Suppose 7*i - t = 2*i. Which is the second biggest value?  (a) -1  (b) 4  (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 367108 (base 9) in base 4?\nAnswer: 312020021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p(t) = 21*t**2 + t + 1. Let s be p(2). Let z(x) = 2*x**2 - 877*x + 21179. Let g be z(413). What is the greatest common factor of g and s?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(f) = f**2 + 12*f - 18. Let k be d(-13). Let c(q) = -q**3 - 2*q**2 - 2*q + 8. What are the prime factors of c(k)?\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -8178, -8518, -9456, -11292, -14326, -18858, -25188, -33616?\nAnswer: -44442","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*s - 3 = 0, -27*s = -y - 26*s + 12759. What is the hundreds digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 28*c + 6*c - 5600 = -36*c. Calculate the remainder when 571 is divided by c.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 1738147?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*u = -s + 2, -1 = -11*s + 12*s + 2*u for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let k(t) be the first derivative of 3*t**4\/4 - 16*t**3 + 102*t**2 - 240*t - 526. Factor k(d).\nAnswer: 3*(d - 10)*(d - 4)*(d - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*z - z - 251 = 5*p, 3*z + 5*p - 162 = 0. Is z a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.5, -1\/10, -2, 0.3, -0.2.\nAnswer: -2, -0.2, -1\/10, 0.3, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 45*g - 200 = 277 + 108 for g.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2408*l**2 + 2070*l**2 - l + 1 + 0*l + (l - 4*l + l)*(4 + 2*l - 4).\nAnswer: -342*l**2 - l + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from bhhlflh. What is prob of picking 1 f, 1 h, and 1 b?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*k + 3*m = 9*k + 83, 0 = 3*m + 9. Which is the fourth smallest value?  (a) 5  (b) 4\/7  (c) -1\/6  (d) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, 1\/5, 19, 93, -0.5 in decreasing order.\nAnswer: 93, 19, 1\/5, -0.5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is -1121102100 (base 3) in base 8?\nAnswer: -75645","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 7266287 is divided by 1532?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: -9*33\nAnswer: -297","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is -3269 rounded to the nearest 1000?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -1062438, -2124743, -3186900, -4248903, -5310746?\n\"Answer: p**3 + 68*p**2 - 1062516*p + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 30*j + 61943 = 37*j. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -2962, -4235, -5508, -6781, -8054?\nAnswer: -9327","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -202.1 and -136?\nAnswer: 66.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 838337 is divided by 1178.\nAnswer: 779","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4985*d = 4*l + 4981*d + 12, 38*l = 5*d + 117 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 3496213 and -74237?\nAnswer: 3570450","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 180198585 and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Divide -1197 by -63.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*d**3 + 675*d**2 + 9015*d - 9700 = 0. What is d?\nAnswer: -97\/2, -20, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in fourty-four fifths of a century?\nAnswer: 880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -4*(-81)\/(-36)*(-2)\/(-3).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f(u) = -2*u**2 - 19*u - 5. Let y be f(-9). Let t be (-2)\/((-1 - y\/(-12)) + 1). Calculate the remainder when (-1)\/((-22)\/(-363)*t\/16) is divided by 16.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.6 take away -645.196868227?\nAnswer: 645.796868227","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Add together 59437952 and 16.7.\nAnswer: 59437968.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000059316 rounded to five dps?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is (-264 + 0 - -1)\/(-1) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 533 + 0?\nAnswer: 533","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let r(o) = -99*o**3 - 21*o**2 + 33*o + 21. Let n(i) = 25*i**3 + 5*i**2 - 8*i - 5. Let h(q) = 21*n(q) + 5*r(q). What is the second derivative of h(u) wrt u?\nAnswer: 180*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-8)\/20*-1 - 1863\/(-405). Put 0.5, a, -2, 0.9, -1 in increasing order.\nAnswer: -2, -1, 0.5, 0.9, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -13*f**3 + 0*f**2 - 15*f**2 + 12*f**3 in the form m + l*f**3 + c*f**2 + y*f and give c.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (3\/(-45))\/((-9)\/15). Let l(s) be the first derivative of 1\/3*s - 1\/6*s**2 - 3 - j*s**3 + 1\/12*s**4. Factor l(d).\nAnswer: (d - 1)**2*(d + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 4545 - 4457. Calculate the lowest common multiple of d and 36.\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 2825192*a**2*o - 4592162*a**2 + 2*o - 27 wrt o?\nAnswer: 2825192*a**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.000067565 to five dps.\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let c(v) = -v**2 - 11*v - 11. Let a(f) = -f - 20. Let y be a(-10). Let i be c(y). Which is smaller: 1\/3 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 178373?\nAnswer: 13, 13721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let u(f) = -7*f - 3. Let b(h) = 54*h + 51. Let i(y) = 11*y + 10. Let d(w) = 4*b(w) - 21*i(w). Let k(a) = 6*d(a) - 13*u(a). List the prime factors of k(1).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*v - 45*x = -49*x - 5, -4*v = -3*x - 9 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -2810 - -3076.7. Round i to the nearest 10.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 242 + 2?\nAnswer: 244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.06 and 0.31.\nAnswer: 0.0186","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let q(a) = -a**3 + 2*a - 18. Let u be q(0). Calculate the common denominator of (-29)\/12*u\/12 and -3\/10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(p) = -6*p**2 - 1118*p - 10522. Calculate w(-10).\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-5)\/(-2)*(-24 + 22). Let y(x) = 29*x**2 - 7*x - 21. Is y(i) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.1, -722.1, -3 in descending order.\nAnswer: 0.1, -3, -722.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -18, -1, 38, 105, 206?\n\"Answer: l**3 + 5*l**2 - 5*l - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(112)\/(1*sqrt(1152) + sqrt(1152))*-1)\/(1*-2*(sqrt(98) - -2*sqrt(98))))**2.\nAnswer: 1\/145152","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand 3*z**4 - z**4 + 0*z**4 + (-2 + 2 + 1)*(-2*z**4 + 7*z**4 - 3*z**4) + 2*z**3 + 2*z**4 - 2*z**3 + 5*z**4 - 3*z**4 - 5*z**4 + z**4 + 3*z**4 - 3*z**4.\nAnswer: 4*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 52, 106, 160, 214?\nAnswer: 268","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 36154.\nAnswer: 2, 18077","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (280 - 264 - (-9 + -1)) + 8.\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (12\/(-15))\/(4\/(-200)). What is the greatest common factor of s and 100?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*k + 2 = 4*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Does 19 divide 6909842?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -l**3 - 315*l + 1021*l - 706*l.\nAnswer: -l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.1 in -2\/35, 0.5, 0, 0.24?\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -9 + 3 + 40 + -38.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 15407\/1085 - ((-273)\/(-65) + 4\/(-1))?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 246 - 177. Let j = 74 - u. Which is the second smallest value?  (a) -3  (b) j  (c) 96\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 5 + -15. Let j = -6 - y. Suppose 2*p - 3 = -4*r + 7*p, j*p = -3*r + 10. Solve 0 = r*u - 3 + 5 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(d) = 11*d - 1 + 1 - 3 - 5*d. Give y(2).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(f) = 15*f - 27. Let w be z(2). Solve -w*c = c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (p - p - p)*(284*p - 122*p - 87*p)*(-24 - 51 + 35).\nAnswer: 3000*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence qkuq when four letters picked without replacement from qfqqkfkkkukkkku.\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-6 + 3 + 2)*(2 - 168*n - 84*n - 103*n) to p*n + k and give p.\nAnswer: 355","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -12608*u**4 + 28760.\nAnswer: -50432*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 1632 and 16?\nAnswer: 1632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand -b**3 + 5271 - 9265 + 5327 + (2*b + 2*b - 3*b)*(4*b**2 - 4*b**2 + 2*b**2) + 2*b**3 - 3*b + 3*b + b**3 + 3*b**3 - 3*b**3 + b - b**3 - b.\nAnswer: 3*b**3 + 1333","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 56420.50746 + -56420. What is c rounded to three dps?\nAnswer: 0.507","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5 = 2*z - 3*z. Solve 0 = z*m - 0*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(j) = 26*j**3 - j + 1. What is g(1)?\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((91\/(-42))\/(3\/6))\/(1\/3).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from epzzjfffzfffzjepf. What is prob of sequence jpp?\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 1\/3  (b) 5  (c) 4  (d) -1.5262\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 29602 - 15436. What are the prime factors of s?\nAnswer: 2, 3, 787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -58b5 + 2?\nAnswer: -58b3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -35\/134058 and 61\/285?\nAnswer: 12735510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -72*p + 9138 - 9570 for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 987622 - 0.03?\nAnswer: 987621.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1234?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -5742818, -22971285, -51685400, -91885163, -143570574, -206741633, -281398340?\n\"Answer: -5742824*j**2 + 5*j + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*t = -4*d - 14, -t - d = -0*t + 7. Let x = -94 - -107. Let o = x + t. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -51, -0.2, -1\/6.\nAnswer: -51, -0.2, -1\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 11214\/(-154) + (-6)\/33. Let d = 74 + i. What is the lowest common multiple of 297 and d?\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2201102020010 (base 3) in base 14?\nAnswer: -298895","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand 3*g - 2*g**3 + 5*g**2 - 5*g**2 + (-55*g - 858 + 858)*(-2*g**2 + 0*g**2 - 3*g**2).\nAnswer: 273*g**3 + 3*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let h(i) be the third derivative of 3*i**2 + 2\/3*i**3 + 0 + 1\/60*i**5 - 1\/6*i**4 + 0*i. Let n be h(4). What is the greatest common factor of 4 and n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(j) = j**3 + j**2 - 18*j - 10. Let y be m(-10). Let r = y + 4453\/6. Let v = 2891 + -31749\/11. Calculate the common denominator of r and v.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -1256 - -11305\/9. What is the nearest to -2 in 0, h, -16?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00000179234629 rounded to 7 dps?\nAnswer: 0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: ((-12)\/(-33))\/(36\/990)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -49\/24345 and 76\/3?\nAnswer: 24345","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7 = -0*w + w. Let j = -25477 - -25481. Sort w, 5, j in descending order.\nAnswer: 5, j, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are 34348 and 34347 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Does 245 divide 961422?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 32\/304 - 1408\/19. Is a at most -73?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 16791 a multiple of 264?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3168 is divided by 212?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let p(v) = 4*v - 4. Let k(m) = -5*m + 3. Let u(j) = -8*k(j) - 6*p(j). Let o(y) = -7*y + 5. Let t(d) = -22*d + 16. Let w(l) = -16*o(l) + 5*t(l). Give w(u(z)).\nAnswer: 32*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.21528346 rounded to 2 decimal places?\nAnswer: 0.22","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4 - 14 = -3*h. Calculate the remainder when 11 is divided by h.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (((-6)\/21)\/(-1))\/(-1)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(f) = f**3 + 6*f**2 - 12*f - 15. Let q be o(-7). Let j be (q\/(-25))\/(4\/(-310)). Suppose 0 = 3*l - 40 - j. Is l a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*b + 3 = -4*w + 25, -3*b + 9 = 5*w for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*f = -6*k + 18, 7*k - 5*f = 1031 - 1010 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*f - 58 = c, -80*c + 15 = f - 76*c. What is the highest common divisor of 361 and f?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -232*f**3*q + 22*f**3 + 8*f**2*q - 7 wrt q.\nAnswer: -232*f**3 + 8*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: (-39)\/(-52)*(-4)\/6\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*a = -3*m + 7*m - 41788, -2*m = -3*a + 41818. Does 10 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -2*c**3*d*z + 2*c**3 + 3*c**2*z + 3*d*z + 7*z wrt d?\nAnswer: -2*c**3*z + 3*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let m(k) = 6*k + 78. Suppose -2 = -7*n + 5*n - 5*c, 4*n - 3*c = -48. Let t be m(n). Solve 0 = 2*b + 6*b - t for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-3)\/(-27)*(2 + -6)?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (y + 2 - 2)*(-355*y - 16*y + 44*y).\nAnswer: -327*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose a**2\/5 - 1204246*a\/5 + 362552107129\/5 = 0. Calculate a.\nAnswer: 602123","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 1*3 - 10\/2. Let j be -1*(z + 1 - -1). Let r be (j - (-21)\/(-6))*-24. What is the highest common factor of r and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -4\/5, -166457, 4, -0.03 in increasing order.\nAnswer: -166457, -4\/5, -0.03, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 7.355201 years in millennia?\nAnswer: 0.007355201","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 5355, 10987, 16619, 22251, 27883?\nAnswer: 33515","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 6\/(-20)*(-920)\/(-2576)*98\/112?\nAnswer: -3\/32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 divided by 18822?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 286 and 1925781.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.4?  (a) -1  (b) -1\/12  (c) 2  (d) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 412 a factor of 975204?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (30\/(-28))\/((-10)\/(-120)*-9)?\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((f**(1\/2)\/f)\/f)**(-2\/15))**(-19\/3))**(18\/11) assuming f is positive.\nAnswer: f**(-114\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let t(y) = 2*y**2. Let q(p) = -2 + 4 + 1 - 2. Let f(o) = 2*o + 1. Let x(k) = f(k) - q(k). What is x(t(m))?\nAnswer: 4*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let f(i) = -i**3 + i**2 - i + 1. Let m be f(1). Suppose l - 3 = m, 5*b - 4*l = 227 + 16. Does 17 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be ((-2)\/(-3) + 0)*3. Let g(w) = 2*w**u - 2 + 2. Let t(x) = -2*x + 6*x - 5*x. What is g(t(d))?\nAnswer: 2*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Are -2658 and -1703 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -o + 3 = -5*r, -5*o + 8 + 7 = -5*r. Is 1 > r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -0.2, -18, 1060?\nAnswer: 1060","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Convert 28665.13 centuries to decades.\nAnswer: 286651.3","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 + 2 + 1)*(-5*z + 3*z + z)*(z + z - 5*z + (3 + 1 - 5)*(7 + 3*z - 7)).\nAnswer: 6*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let c(i) = 5*i - 164. Determine c(31).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let o be ((-150)\/(-54) - 3) + (-286)\/9. Let c be (2\/3)\/(2\/336). Let i = c + o. Does 31 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -51862 + 29947. Let k be 0 + (m\/(-6))\/3. Let v = k - 8474\/7. Calculate the common denominator of -45\/2 and v.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1860*u - 1857*u - 6090 = 0. Let v = 2032 - u. Determine s so that -3\/7*s**v + 12\/7*s - 12\/7 = 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(t) = 2*t - 2. Let v = -136 + 67. Let n = -71 - v. Let o(y) = -y**3 - 5*y + 3. Determine n*o(x) - 5*f(x).\nAnswer: 2*x**3 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 2 a factor of (-34 - -30)\/(4\/(-1866)) + -3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 61204 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 136300.1 millilitres in litres?\nAnswer: 136.3001","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d*d*d**(-2\/51))\/d**(2\/47) assuming d is positive.\nAnswer: d**(4598\/2397)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 2*-1*3\/(-6). Suppose 3*v - 3*k - 174 = 0, -2*k = -k + r. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(b) = b**2. Let t(r) = -2176*r - 51. Let c(q) = -87*q - 2. Let n = 31 + -29. Let v(o) = n*t(o) - 51*c(o). What is w(v(f))?\nAnswer: 7225*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -28*((-60)\/(-16))\/15.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -121348 divided by -2\nAnswer: 60674","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -61*d + 111*d - 471800. What is the tens digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 36 divide 155762712?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Express -10*i**4 + 2*i**3 + 9*i**4 - 73*i**2 + 0 - 7*i - 1 + 6*i as n + t*i + q*i**2 + h*i**3 + m*i**4 and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2287390?\nAnswer: 2, 5, 7, 41, 797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-1)\/2*2 - 0. Let t(i) = -57*i + 1. Let u be t(q). Suppose 25 = n - u. Is 23 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(i) = -512*i**4 - 12*i**2 + 28*i - 5. Let d(v) = 1025*v**4 + 20*v**2 - 55*v + 10. Let p(y) = 5*b(y) + 3*d(y). What is the second derivative of p(r) wrt r?\nAnswer: 6180*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(z) = 9*z - 52. What is the lowest common multiple of s(8) and 96?\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3 = q + 11. Is 13513\/8 - (-1)\/q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(o) = -o - 2. Let h be z(-4). Suppose -2*u + p = -u - 83, -h*u - p = -157. Round u to the nearest ten.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 7857\/(-291)*104\/(-3) is divided by 33?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 90 + -90.000021. Round f to six dps.\nAnswer: -0.000021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -2328*v**3\/7 - 2755916*v**2\/7 + 516216*v\/7 - 9472\/7 = 0. Calculate v.\nAnswer: -1184, 2\/97, 1\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 26 - 18. Suppose 7 + u = 5*d. List the prime factors of d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from uttjtjrtrtubtuuu. What is prob of picking 1 u, 1 t, and 1 r?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 518558.6 kilometers in nanometers?\nAnswer: 518558600000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, 12577, -63, -23, -4.\nAnswer: -63, -23, -4, -2, 12577","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 1843828 or 1843829?\nAnswer: 1843829","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from qmqmqm. Give prob of picking 2 m.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 57 a factor of 10836?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -0.1  (b) 1\/9  (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: -0.8 times 0.32\nAnswer: -0.256","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let j(t) = -8*t. Let a(h) = 9*h. Let x(b) = -3*a(b) - 4*j(b). Let y(f) = -2*f. Give x(y(k)).\nAnswer: -10*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let -r**4\/4 + r**3\/4 + r**2\/2 = 0. What is r?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:37 AM and 5:13 PM?\nAnswer: 456","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is (((-104)\/325)\/(-2))\/(6\/(-45))?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3146974.\nAnswer: 2, 1573487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let x(a) be the second derivative of -21\/2*a**3 + a + 1 - 41*a**2. What is the derivative of x(k) wrt k?\nAnswer: -63","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from dggvvgddddgggggg. What is prob of sequence gdv?\nAnswer: 3\/112","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 12 and 4876?\nAnswer: 14628","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -29*w - 9 = -28*w for w.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -6\/83?  (a) -56  (b) -3  (c) 2  (d) 8  (e) -1\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let p(d) = 39*d**6 - 4*d**3 + 18*d**2 - 4*d. Let k(l) = -l**3 + l**2 - l. Let z(n) = -4*k(n) + p(n). Find the third derivative of z(j) wrt j.\nAnswer: 4680*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.94 and -0.3.\nAnswer: 0.282","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let w be -13 - (-3 - (-21)\/9)*6. Let m be (-12)\/w*1*(-6)\/(-4). What is the nearest to m in -5\/3, 3\/5, -1?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -18111995 or -18111994?\nAnswer: -18111994","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 2, 4, -1834?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*z = 4*a - 12 - 110, -116 = -4*z + 4*a. Is (z\/(-3))\/(6\/(-63)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {b: 4, e: 7, k: 3}. Give prob of picking 2 e.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 0 - -5. What is the first derivative of -s + o*s - 1 + 0 wrt s?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 50891 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {w: 2, n: 2, f: 2, u: 4}. Give prob of sequence nn.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let s(u) = -2*u - 2. Let q(z) = -z - 11. Let c be q(-8). Let a be s(c). What is the second derivative of -2*h + 2*h**3 - 6*h**3 + a*h - 5*h wrt h?\nAnswer: -24*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 48*y**5 - 7*y**4 + 6*y**3 - 65819*y**2.\nAnswer: 2880*y**2 - 168*y + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 53  (b) 43833  (c) -1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 170977767 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4115.\nAnswer: 5, 823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 1 - -2*2\/4. Suppose 13*i - 5*v = 17*i - 178, 2*i - 5*v = 74. Suppose -i - 15 = -19*a. Solve 0 = -b*x - a*x + 5 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 15*s**4\/8 + 257049*s**3\/8 + 1361169*s**2\/4 - 2979861*s\/2 + 539469 = 0. Calculate s.\nAnswer: -17126, -14, 2\/5, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 1 - 3. Which is the closest to 1\/4?  (a) 2  (b) -5  (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*m**2\/5 + 32*m - 640.\nAnswer: -2*(m - 40)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 2805.908 millilitres?\nAnswer: 2.805908","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort -391, -2, -18 in decreasing order.\nAnswer: -2, -18, -391","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((c**(-2\/13)*c)\/(c\/(c\/c**(-3\/4))))\/((c*c**4\/c)\/(c\/((c\/c**(-4\/9))\/c))) assuming c is positive.\nAnswer: c**(-865\/468)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: (8 + 1 - 1) + (3 - 8)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -332*j + 556*j + 751*j + 6354 = 1479 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 104 in -301, -2\/7, 1, 2\/13?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 12112 + 123223?\nAnswer: 140340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1 + -1 + -1*sqrt(684) + (4 + (0 + sqrt(684) - sqrt(684)) - (sqrt(684) - 6*(-2*sqrt(684) + sqrt(684)))))**2.\nAnswer: -192*sqrt(19) + 43780","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-147)\/(-14) - 1\/(-2). Suppose 6*j - j = -3*v + 28, v - w = -2*j. Let d be 1 + v + (-2 - 0). Which is the closest to d?  (a) 2\/9  (b) -3  (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3463552118 a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ses when three letters picked without replacement from veuvuuuvvsuvsusvuu?\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 336 a factor of 338016?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -6 - (-11)\/((-308)\/(-175)).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(v) be the first derivative of -2*v**3\/3 + 27*v**2\/2 - 5*v + 39. What is the lowest common multiple of 6 and s(13)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 35 = 6*h + h. Suppose -7 = 4*t + h*n, -3*t + 4 = 2*t + 2*n. What is the derivative of -14*w**2 - 17 + t*w**2 + 256*w - 256*w wrt w?\nAnswer: -24*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 0.06, -3\/8, -0.3, -2, -31, 2, -0.1618?\nAnswer: -0.1618","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let h(r) = r**2 + 18*r + 2. Calculate the remainder when h(-24) is divided by 17.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(f) = 95*f**2 + 77*f - 9. What are the prime factors of g(-27)?\nAnswer: 3, 17, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -23 + 17. Let y be (-1)\/d + (-145)\/(-30). Calculate the greatest common divisor of y and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(n) = -n**2 - 4*n - 3. Let k be x(-10). Let z be k\/27*6*1. Let s = z + 43. What are the prime factors of s?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: (2\/12)\/((-1870)\/44 - -40)\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -8631*s**3 - 6*s**2 - 215694*s wrt s.\nAnswer: -51786*s - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let i(c) = -9*c - 8. Suppose q = -681*u + 680*u + 5, -q = -5*u + 7. Determine i(q).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 3.97, 4, -5, -2\/9?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -497 - -497.4. Which is the nearest to 1\/4?  (a) h  (b) 0.3  (c) -1  (d) -3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 245 and 145.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 762147, 1524292, 2286437, 3048582?\nAnswer: 3810727","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2\/5 in 0.4, 2, 110, 0.07?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 59 minutes after 5:55 PM?\nAnswer: 6:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -400\/3 + 382. Let q = 244 - c. Let l(i) = i**2 + 24*i + 57. Let f be l(-3). Which is greater: f or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 3\/7 + 495\/21. Suppose -3*a = 2*z + 3, -4*z + 5*a = -z - w. Solve 11 = -z*i + 2 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -172786 - -173154. Let z = 31 + -15. Calculate the greatest common factor of z and a.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (3 + (-7)\/2)*-4. Let o be 119400003\/t + 15\/(-10). Suppose 30*h - 33*h = -o. What is h rounded to the nearest one million?\nAnswer: 20000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: 284\/48 + 11\/((-1144)\/130)\nAnswer: 14\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(f) = -93*f + 1475. Determine q(14).\nAnswer: 173","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Sort -32430, 0.5, 1\/26, 3 in increasing order.\nAnswer: -32430, 1\/26, 0.5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 0.3 + -0.2. Let z = -76 + 76. Which is the closest to u?  (a) 0.5  (b) 0.4  (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((28\/(-14))\/2)\/(185\/37*(-2)\/(-26))?\nAnswer: -13\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v(z) = 35*z + 3. Determine v(1).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*k**5 - 1098*k**4 - 73440*k**3 + 5243616*k**2.\nAnswer: -3*k**2*(k - 42)*(k + 204)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 152 is divided by 78.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 6 minutes after 12:15 PM?\nAnswer: 12:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let w(s) = -1. Let r(a) = a**2 + 4. Suppose 31 + 1 = -4*c. Suppose -2*o + o = 4. Let g = c - o. What is g*w(k) - r(k)?\nAnswer: -k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 816\/80 - (-1)\/(-5). Solve 0 = -2*x + s, 4*x = -5*s - 4 - p for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -3*i + 2*i + 3*i + (-2 - 2 + 3)*(i + 4*i - 3*i) + i + 2*i - 2*i + 77*i + 77*i - 156*i - 2.\nAnswer: -i - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 52084 - 24579. What are the prime factors of l?\nAnswer: 5, 5501","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -415 or -416?\nAnswer: -416","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 394 minutes after 6:31 PM?\nAnswer: 1:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -37, -53, -75, -103, -137?\nAnswer: -177","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 0 + 1 + ((-45)\/27)\/1. Which is greater: 3 or i?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 539388 is divided by 533.\nAnswer: 525","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 768 and 13152.\nAnswer: 105216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is -361 smaller than -719\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 134538488?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Does 1146 divide 537925524?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*s - 296 = -926. Let w = -86 + s. Find g, given that -88\/13*g**2 + 0 - 16\/13*g - 140\/13*g**3 - 50\/13*g**w = 0.\nAnswer: -2, -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3*(sqrt(3024) + (-3*sqrt(3024) - sqrt(3024)) + sqrt(3024))*4)\/(sqrt(6)\/sqrt(2)*5 - 6*(sqrt(3) + sqrt(243))).\nAnswer: 288*sqrt(7)\/55","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let n(d) = -d**2 + 17*d + 3. What is the tens digit of n(6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.114 and 2.\nAnswer: 0.228","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -m = 5*y - 0*y - 30, -20 = -5*y + m. Solve -14 = 5*c + 6, c = y*p - 19 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 2343950 and 3675.\nAnswer: 49222950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (189\/(-252))\/(3\/64).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 13282214?\nAnswer: 2, 11, 67, 9011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let i(g) = 7*g**2 - 11*g - 13. Let m(b) = 4*b**2 - 6*b - 7. Let w(y) = 3*i(y) - 5*m(y). Let j be w(-2). Solve -4*o - j = 2 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 127 - 87. Suppose 132 = 4*r + 5*f, -r + u = 5*f - 8. Does 17 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 7085605?\nAnswer: 5, 59, 24019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -25, -87, -149, -211, -273, -335?\n\"Answer: -62*b + 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Does 24 divide 38505624?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*h = 3*i + 10, 4*i - 2 + 8 = -3*h. Suppose 0*r + 7*r - 35 = i. Suppose -z - 20 = -b - 70, -b - 234 = -r*z. Does 7 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -24*g - 18*g + 67*g - 22*g.\nAnswer: 3*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 42 and 15?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 106, 215, 298, 343, 338, 271?\n\"Answer: -2*i**3 - i**2 + 126*i - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -100*q**6 - 263*q**2 - 21*q**6 + 299*q**2 wrt q.\nAnswer: -14520*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 161217095 plus -18.7?\nAnswer: 161217076.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -3 - -3 - (8 + -10).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 1.14 - 0.59. Let a = x - 0.242. Let r = a - 0.32. Round r to 3 decimal places.\nAnswer: -0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(a) = -a**2 + 7*a - 5. Suppose -3 = 3*y - 21. Let z be q(y). What is the tens digit of z*(-1 + 0)*-19?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y**3 - 23964*y**2 - 1200559*y - 3385974 = 0. Calculate y.\nAnswer: -47, -3, 24014","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 31956697?\nAnswer: 43, 743179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from pzz. What is prob of picking 2 z?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t\/t**(-3))\/t**(-1\/2)*(t*t**(1\/5)\/t)\/t*((t*t**(-5)\/t)\/t)\/t*((t**(1\/3))**(-38))**(2\/77) assuming t is positive.\nAnswer: t**(-8383\/2310)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let s(f) = -f**3 + 10*f**2 + 10*f - 24. Give s(10).\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*r + 2*n - 6*n - 19 = 0, 0 = 4*r + 4*n - 8. Let w = 6.1 + -6. Which is the closest to -2\/5?  (a) r  (b) w  (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(f) = -3*f**2 - 3*f**2 - 2*f**2 - 7 + f + 10*f**2. What are the prime factors of o(-4)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sum 3.93484 and 3.\nAnswer: 6.93484","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*x**5\/7 - 114*x**4\/7 - 1006*x**3\/7 - 3174*x**2\/7 - 3384*x\/7 = 0. What is x?\nAnswer: -47, -4, -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -13.75 + 13.77. What is the second smallest value in 1\/2, 0, 0.9, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 62 + -160. Let c = p + 143. What is the tens digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(m) = -1. Let n(a) = -2*a**2 - 9. Let p(g) = 2*n(g) - 18*v(g). Let y(u) be the first derivative of 0*u**2 - 1 + 4*u**2 - 3*u**2. Determine y(p(i)).\nAnswer: -8*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Sum 5787414 and 2842794.\nAnswer: 8630208","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 512 - 519. What is the second biggest value in 2, 0, k, -0.13?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 245.3 + -240.3. Which is the fifth biggest value?  (a) 0  (b) 0.3  (c) 3  (d) -8  (e) u\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 9065.7 * -0.5.\nAnswer: -4532.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2 + -75 - (10 - (74 + -59)).\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -1571 + 2?\nAnswer: -1567","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 1000 - 110000110010101100?\nAnswer: -110000110010100100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-182)\/4*((-2)\/11 - 169\/(3877874\/(-12367))).\nAnswer: -65\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2703105869 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -5530 + 11726. What is the tens digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((z**(2\/13)\/z*z)\/(z*z*z\/(z*z\/z**4*z)))\/(z**(-5)*z**(-5\/4)))**49 assuming z is positive.\nAnswer: z**(6125\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 142, 666, 1942, 4300, 8070?\n\"Answer: 55*k**3 + 46*k**2 + k + 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v(s) = s**2 - 15*s - 72. What is the tens digit of v(30)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(m) be the second derivative of -3\/20*m**5 + 5*m + 0 + 0*m**2 - 1\/4*m**4 + 0*m**3. Find the third derivative of b(r) wrt r.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from qoryqqqouuuou. What is prob of picking 1 q and 1 y?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let k(m) = m**3 - 4*m**2 - 4*m - 14. Let v be k(8). Let s be (4\/8)\/(1\/v). Calculate the greatest common factor of s and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -5 - (0 + -6) - -2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 390 and 161748600?\nAnswer: 161748600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -581*s + 588*s - 23975 = 0. List the prime factors of s.\nAnswer: 5, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -8 + 1c67?\nAnswer: 1c5e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -u + 5*n + 0*n + 29 = 0, -u - 5*n - 21 = 0 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let s(u) = u**3 - 7*u**2 - 9*u + 9. Let x be s(8). What is the units digit of -1*x\/2*-122?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 9, -15, -39, -63, -87, -111?\nAnswer: -135","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from rlzkobl. What is prob of sequence orl?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 14679 + -14679.9519. Round w to the nearest integer.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.3 in 0.2, -0.2, 0.5, -0.5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*r**2 + 6041715*r - 12083470 = 0. Calculate r.\nAnswer: -1208347\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2*a**2 + 60*a - 10*a - 38*a - 15*a + 35 to q*a**2 + c + v*a and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let h(g) = 2*g. Suppose 10*l + 315 = -125. Let r(d) = 24*d**2 - 11*d + 11. Let w(j) = -2*j**2 + j - 1. Let c(a) = l*w(a) - 4*r(a). Calculate h(c(z)).\nAnswer: -16*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 12 - 33?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 4 + -3.5. Let b = -3 - v. Let x = b + 0.5. Put x, -5, 1\/5 in increasing order.\nAnswer: -5, x, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*d + 57 + 215 = -4*t, 5*d - t + 310 = 0. Let g = d - -505\/8. Calculate the common denominator of -1\/10 and g.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-24*m - 32*m + 58*m)*(48*m**3 + 4*m**4 + 5*m**3 - 74*m**3).\nAnswer: 8*m**5 - 42*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 3\/20140  (b) 0  (c) 4.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -72, -69, -78, -105, -156?\nAnswer: -237","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d(u) be the third derivative of -3*u**2 + 0*u**3 + 0*u**4 - 1\/30*u**5 + 0*u + 0 - 1\/30*u**6. What is the third derivative of d(o) wrt o?\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(z) = 2318*z - 1789478. Give q(772).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from uuuululluuuuuuu. What is prob of sequence uuuu?\nAnswer: 33\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let h(q) = 275*q + 126. What is h(-2)?\nAnswer: -424","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.2 in -1, 2\/5, -838, 3\/7, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 8\/40 - 688\/(-10)?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(l) = 3*l - 50. Let r(q) = -q**2 + 9*q - 12. Let x be r(4). Let c be f(x). Let h = c - -83. What is the tens digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 3 - -24. What is the units digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*x - 2*x = -168. Let w be -8*(14\/8)\/(-1). Let u = x - w. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 20 divide 84230?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 122403010?\nAnswer: 2, 5, 23, 532187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 243 minutes before 1:53 PM?\nAnswer: 9:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 277\/1206 + -1\/134. Let j = 29\/4 - 7. Suppose 0 = -0*h - h - 5*h. Which is the third smallest value?  (a) i  (b) h  (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*((sqrt(2) - sqrt(72))*-5 + -1*5*sqrt(2)))**2.\nAnswer: 800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (1\/(-2))\/((-9)\/54). Suppose x*r = 7 + 125. Suppose -4*h = -24 - r. What is the greatest common factor of h and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(s) = s**2 - 12*s - 7. Let k be p(13). Suppose 623 = k*j + j. What are the prime factors of j?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put together -2554 and -17.\nAnswer: -2571","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: -0.03 times -123.5\nAnswer: 3.705","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many nanoseconds are there in 530.6481 hours?\nAnswer: 1910333160000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d(m) = 46*m - 691. Give d(15).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -1 - -7. Let i(a) = 14*a. Calculate the smallest common multiple of i(1) and f.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 - 7 + 2*d**3 + 0)*(-129 + 129 + d)*(-2*d - d + 4*d).\nAnswer: 2*d**5 - 5*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in 42.32496 kilometers?\nAnswer: 42324960000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from wwbvbxbrvxxxxx. What is prob of picking 2 x and 1 w?\nAnswer: 15\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -12.27138 from -0.03.\nAnswer: 12.24138","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 206670091 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((6*(sqrt(432) - (sqrt(432) - -1*sqrt(432))) + -2*sqrt(432)*-3)\/(sqrt(441)*2*-3)*-3)**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 3  (b) -0.3  (c) 8  (d) -7609\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let w(r) = 388*r**2 + 1559*r - 5. Determine w(-4).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z\/(z\/(z**(1\/8)*z*z*z)))**(-17\/5)*(z\/(z\/(z\/z**(-25))*z))**(-2\/19) assuming z is positive.\nAnswer: z**(-2015\/152)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 570 minutes after 11:51 PM?\nAnswer: 9:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-6)\/(-1)*(-26)\/(-3). Suppose 3*x = -3*i - 93 - 12, 5*x - 29 = i. Let f = r + i. Calculate the remainder when f is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -107926, -215854, -323782?\n\"Answer: -107928*y + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 7349087.\nAnswer: 43, 277, 617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -113 + 209. Let q be 10 - (1\/1)\/(1\/(-2)). Calculate the highest common factor of q and x.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -1155, -2212, -3267, -4320?\n\"Answer: l**2 - 1060*l - 96","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7 + 2 = 3*d. Suppose 0 = 5*r - 3*k, d*r + 2*r - 4*k + 5 = 0. Suppose v - 977 = -2*c, 0*c + r*c + v = 1464. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(z) = -5*z - 2. Let m be y(-3). Suppose -8*p = -m*p - 20. Calculate the common denominator of -77\/16 and p*2\/(-144)*-83.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 4  (b) -0.4  (c) -4.181  (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 5446?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let c(n) = -200*n + 2627. Let u be c(13). Let w = 0.3 - 0.5. What is the third biggest value in w, u, -0.1?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 37*u - 35*u = 12. Is 2 a factor of (189 - (-54)\/u) + -7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -2082, -1455, -812, -147, 546?\nAnswer: 1273","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 780800 divided by 12200?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 35940 is divided by 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*f + 2*u - 12 + 189, u = -5*f + 189. Calculate the remainder when 106 is divided by f.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(o) = 38*o**2 - 93*o + 1. Calculate v(4).\nAnswer: 237","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -710*p**5 + 2777667*p**3 + 3*p - 238*p**2 - 2777667*p**3 wrt p.\nAnswer: -42600*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (2\/(-12))\/(0 - (-34)\/340)?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 34 or 46?\nAnswer: 34","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -4  (b) -2.3  (c) -3\/10  (d) 1\/8  (e) -0.5  (f) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1.4 in -5, -1\/7, 5, -0.3?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 4256.108 litres in millilitres?\nAnswer: 4256108","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -15061, -13291, -11521?\nAnswer: -9751","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 150469 is divided by 150469?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -22, -15, -2, 17?\n\"Answer: 3*n**2 - 2*n - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-24)\/12 + 1 + -2 + 3. Let m(b) = -b**2 - 4*b + 13. Let y be m(z). Solve -p = -y + 12 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(110)*1*-6 - ((sqrt(110)*3 + sqrt(110))*-6 - sqrt(110)))\/(-6*(1*sqrt(250) + sqrt(40)\/(sqrt(4) + sqrt(16) + sqrt(4)))))**2.\nAnswer: 15884\/3969","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 3 - -29. Let y = c - 36. Let q = 4.89 - -0.11. What is the closest to 3 in y, 0.2, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(j) = 440894*j**2 + 151*j + 150. Is b(-1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 33 + 27 + 36 + 27 - 227*f - 126 to k*f + c and give k.\nAnswer: -227","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -36.8 + 33.03. What is z rounded to the nearest integer?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(z) = 3*z**2 + 396*z - 59936. Calculate w(-222).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -18395 + 18394. Which is the second biggest value?  (a) r  (b) 2\/7  (c) 293  (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence unu when three letters picked without replacement from {u: 2, f: 8, w: 1, n: 5}?\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in 1\/5 of a kilogram?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*c + 4*v + 88, 2*c + 3*v - 10 - 14 = 0. Let j = 6 - -29. What is the remainder when j is divided by (24\/9)\/(4\/c)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -160 + 55194?\nAnswer: 55034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*(sqrt(228) - (sqrt(228) - (sqrt(228) + (-1*sqrt(228) - sqrt(228))*-2)))*-6)\/(-1*sqrt(1452)*2 + sqrt(1452) + sqrt(1452)*-2*-3).\nAnswer: -12*sqrt(19)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4158680?\nAnswer: 2, 5, 103967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let o(u) = -276*u + 1811. Determine o(7).\nAnswer: -121","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Find p, given that 169\/8*p + 83\/8*p**2 - 1\/8*p**3 + 85\/8 = 0.\nAnswer: -1, 85","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: (45\/(-30))\/(2*(-15)\/160*-4)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -0.94 - -1. Let w = 0.03 - t. Let r = 0.23 + w. Which is the third smallest value?  (a) r  (b) -0.5  (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -4 (base 9) to base 4.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p(n) = n**2 + 10*n - 21. Give p(-13).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 5*2\/((-20)\/(-216406)). Let t = a - 311. Suppose -t = -h + 42108. Round h to the nearest one hundred thousand.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 1*-2 - (-4 - -2). Let d be (0 - -1) + 4\/2. Suppose 2*u - d*u + 11 = w. What is the greatest common divisor of u and 33?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*y = 1634 + 286. Which is bigger: 721\/3 or y?\nAnswer: 721\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 45.03592l?\nAnswer: 45035.92","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.19 + -19618.\nAnswer: -19617.81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Determine d so that 2*d**5\/15 + 2*d**4\/15 - 16*d**3\/5 + 16*d**2\/3 + 32*d\/15 - 32\/5 = 0.\nAnswer: -6, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let g(w) = -w**2. Let t(a) = 8*a**2 + 8*a + 4. Let n(p) = 4*g(p) + t(p). Factor n(s).\nAnswer: 4*(s + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (4\/(-2))\/((-9)\/3*1)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*q + q = 840. Let b = -101 + q. Calculate the remainder when b is divided by 23.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 41\/(164\/(-48))*(-2)\/(-6). What is the fourth biggest value in 0.067, c, 1\/3, -2\/11?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in 0.8156898 days?\nAnswer: 1174.593312","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a(t) be the first derivative of -2*t - 2*t**3 + 1\/4*t**4 + 1 + 0*t**2. Let y be (4\/3)\/(6\/27). Calculate a(y).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 3.0417 + -3.243. What is s rounded to 2 dps?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -6c877 (base 14) in base 9?\nAnswer: -443572","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -2.78 - -2.48. Does -10 = y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*x**3 + 5*x + 6*x**3 - x**3 + x**3.\nAnswer: 8*x**3 + 5*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-4 - 2) + -6 + 7?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -14.87 take away -0.1733784?\nAnswer: -14.6966216","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00656 - 2.9752?\nAnswer: -2.98176","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Does 24 divide 648?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -132*p + 11149 + 5691 = -320. Suppose 3*l - 5*z = 5*l - 85, -3*z + 132 = 3*l. Calculate the remainder when p is divided by l.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(o) = 11 + 53842*o**2 - 53835*o**2 - 104. Let f(v) = v. What is i(f(d))?\nAnswer: 7*d**2 - 93","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let p(i) = 20*i - 75. Let c(b) = 99*b - 360. Let w(r) = 5*c(r) - 24*p(r). Let y(u) = -u. What is -w(f) - 6*y(f)?\nAnswer: -9*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -502835 - -5?\nAnswer: -502830","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Convert 317 (base 8) to base 15.\nAnswer: dc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 0 - 740?\nAnswer: -740","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let r(b) = 10*b - 38. Let j be r(3). Suppose t + 0*o = 4*o + 14, -3*o = 15. Are t and j equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 0 - 667. Let r = -51 - j. Is r a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -89cb (base 14) in base 7?\nAnswer: -126444","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-j**3 + 0 + 0)*(-2 + 4 - 4) + 0*j**2 + 8*j**3 - j**2 - 9*j**3.\nAnswer: j**3 - j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 y, 1 s, and 2 i when four letters picked without replacement from {u: 3, j: 5, s: 3, y: 6, n: 1, i: 2}.\nAnswer: 6\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 587520000 rounded to the nearest one million?\nAnswer: 588000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 115056028 to the power of 1\/3, to the nearest integer?\nAnswer: 486","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from rrrrerreeerrrrre. Give prob of picking 1 e and 3 r.\nAnswer: 165\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -5*2*-6*(-3)\/45?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 1323 + -2297. Let r = s - -929.9. What is r rounded to 0 decimal places?\nAnswer: -44","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5877*m + 1 = 3*s - 5873*m + 16, -7*m = s + 5 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-372 - -375) + -1 + 0?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -3 + 4. Let b be (y - (2 - 3)) + 2. Let q be 18 + (-2 + b - 1). Solve k + q = -3*n, n = -4*k + k - 17 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 10 and 4855.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let z(t) = -t**2 - 11*t - 20. Let a be z(-8). Solve -12 = 4*j - 4*v, 5*v + 1 - a = 2*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1171312?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 1051.6 + -1054. Sort -5, 3, s, 0.2 in ascending order.\nAnswer: -5, s, 0.2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(x) = x**2. Let o(s) = -58 - s - 43 + 7. What is c(o(a))?\nAnswer: a**2 + 188*a + 8836","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 22 - (15 - 0) - -5 - (20 - -3)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 0.324 + -0.364. Let d = 62 + -44. Let z = d - 19. What is the fourth biggest value in 0.1, -1\/10, m, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let v = -24 - -50. Suppose g - 4*g = 0. Suppose g = -2*q - 3*q + 325. Calculate the greatest common divisor of q and v.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 d when two letters picked without replacement from lllldlllldlldlfll?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let u(r) = 2*r**2 + 8*r + 13. Determine u(-4).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 183212395.22000009 - 183212396. Let k = -42 - -41.22. Let a = k - g. Round a to seven dps.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((0 + 2*c + 0)*(5*c - 3*c - c) + 0*c + 0*c + 2*c**2 + (-13*c - 7*c**2 + 13*c)*(-1 + 2 + 1))*(-2 + 2 - 2).\nAnswer: 20*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let u(q) = -q**2 - 9*q + 93. What is u(-15)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -155\/74172 and 221\/7980?\nAnswer: 7046340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let t(x) = -2*x - 10. What are the prime factors of t(-7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand f**3 - f**3 - 2*f**3 + (-4 + 4 + 2)*(4*f - 6*f + 0*f)*(-12*f**2 + 6*f**2 - 8*f**2).\nAnswer: 54*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ffffffffff. Give prob of picking 2 f.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.4, 0.1, -60, 0.181933 in decreasing order.\nAnswer: 0.181933, 0.1, -0.4, -60","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let s(b) = -b**3 - 5*b**2 + 5*b + 4. Let j(u) = -5*u**2 - 1. Let y be j(1). Let x be s(y). Suppose 3*w - 2 = x. Does 4 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence tggi when four letters picked without replacement from {t: 1, i: 6, g: 10}.\nAnswer: 9\/952","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 390 = 39*y - 78*y for y.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 648 + -469. What is the remainder when m is divided by 11?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 183*j - 406 = 268*j - 1766 for j.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Round 9.0610917 to one decimal place.\nAnswer: 9.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 2\/11, -1, 2\/241, 0.1, -4?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(152)\/(-5*sqrt(648)).\nAnswer: -sqrt(19)\/45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let w be -2*4\/(16\/(-6)). Let i(v) = w + 4 - 5 - 5 + 3*v + 4*v**2 - v**3. Let q(z) = 3*z**3 - 9*z**2 - 7*z + 7. Give -7*i(m) - 3*q(m).\nAnswer: -2*m**3 - m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 41*q**2 - 6*q**3 + 9*q**3 - 41*q**2.\nAnswer: 3*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*f = 0, 5*c = 4*c - f + 1 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 11 + -18. Let u be 1\/18*(8 - 12). Let h = -5700 + 5704. Which is the closest to j?  (a) h  (b) u  (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 100 and 164273050?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 164\/(-1230)*(115\/(-7))\/(29\/(2842\/28))?\nAnswer: 23\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s(t) = -2*t + 15. Let g(q) = -41*q + 487. What is g(s(x))?\nAnswer: 82*x - 128","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 223*f**2*m**2*r - 19*f**2*m**2 + 66*f**2*m - 890*f*m*r + 5*f - 22*m**2 - 1 wrt f?\nAnswer: 446*m**2*r - 38*m**2 + 132*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2 in 3, -0.5, 147, 2\/3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 + 4 = -2*w. Let y be (3 - 2) + (-30598)\/w. Suppose -3*o = -3*q + y, -2*q + 2*o = q - 15300. Round q to the nearest 1000.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 2120012110 - -12?\nAnswer: 2120012122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2437484 is divided by 1112?\nAnswer: 1092","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let s(l) = -30*l**5 + 14*l**4 + 54*l. Let o(m) = -6*m**5 + 3*m**4 + 11*m. Let c(a) = -14*o(a) + 3*s(a). What is the second derivative of c(n) wrt n?\nAnswer: -120*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*g**2 - 7*g**2 + 3*g**2)*(14716 - 8328 - 7441)*(0*g + 0*g + 2*g).\nAnswer: 4212*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is -1004 bigger than -613?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let w(a) = -44*a**2. Let q(n) be the second derivative of n**3\/6 + 11*n + 1. Calculate w(q(m)).\nAnswer: -44*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose i - 7 = -2*m + 6, -5*i = 5*m - 45. Suppose -2*f = -0*y + 2*y + 12, 0 = -3*f + m*y - 18. Is f at most -6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 n when two letters picked without replacement from {n: 5, w: 2, r: 2}.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Does 463 divide 4820756?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 16*g - 2*g - 616. Suppose 0 = 37*t - g*t + 3290. List the prime factors of t.\nAnswer: 2, 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-5 + 7)\/(1 - 0). Find the third derivative of -a**2 - 3*a**2 - 3*a**q + 0*a**2 + a**4 wrt a.\nAnswer: 24*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(h) = -2*h**3 + 14*h**2 + 66*h - 70. What is n(10)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00000137989466 to seven decimal places.\nAnswer: -0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let n(m) = -m**3 + 8*m**2 + 11*m - 6. Let t be n(9). Let w(f) = t*f - 8 - 1 - 2*f**2 + 4. Let q be w(5). Put 2, -3, q in descending order.\nAnswer: q, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 1*3 + (-37 - (-8)\/(-2)). Let r = s - -125. What is the greatest common divisor of 29 and r?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: -278028 (base 10) to base 2\nAnswer: -1000011111000001100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*m + 5*p - 65, 4*m - p = 2*p + 48. Suppose 19 + 11 - m*d - 5*d**2 - 15*d + 5*d = 0. Calculate d.\nAnswer: -6, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many nanoseconds are there in 4.510287 minutes?\nAnswer: 270617220000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1998?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 88277333?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let g(a) = 182*a + 45. Is g(7) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*i - 2 + 22 = 0. Let g be -1*i - (-30)\/6. Suppose 4 = -g*x - 2*x + 4*w, 2*x - 10 = -3*w. Let a(f) = 5*f - 1. What is a(x)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from aiixacaiwiiin. What is prob of picking 1 w and 1 c?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 37 + -3?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 divided by -275065?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -22\/15  (b) -5  (c) 0.0191\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let t be -2*(-2 - -3) + 9. Suppose -21 = -t*c + 4*c. Suppose -5*p = 5*f - 160, 134 = 5*f + 3*p - 32. What is the highest common divisor of c and f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -96 + 105. List the prime factors of i.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 358?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (2 - 2\/4)\/((-20)\/(-40)). Suppose -a*j + 57 = -87. Let w be j\/(-14)*(8 - (-161)\/(-14)). Solve -w = -s - 2*s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 31 - 2?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let i(b) be the first derivative of b**3\/3 + 9*b**2\/2 + 7*b + 1. Let l be i(-6). Let r = l - -15. Solve 0*u = -u + r for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*y**4\/3 - 558*y**3 - 60522*y**2 - 5141438*y\/3 - 14454440 = 0. What is y?\nAnswer: -715, -84, -19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -44 + 75*r**2 + 16 + 2*r + 32 + 2*r + 21*r**2.\nAnswer: 96*r**2 + 4*r + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose z - 2 = -5*f - 23, -2*z + f = -13. Suppose -5*x + 28 = -z*i, x - 16 = -x + 4*i. Is x a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(u) = u**3 - 18*u**2 - 21. What is o(18)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 145 is divided by 49.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 6713 is divided by 18?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 42.34 + 0.66. Let z = -45 + i. Which is the second smallest value?  (a) z  (b) 4  (c) -26\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2739 = 36*a - 285. Calculate the greatest common divisor of 60 and a.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 0.19 - 2.19. Let v = 1.802 - -0.19792. Let w = u + v. What is w rounded to 4 dps?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -18 + 7. Let w = i + 18. What are the prime factors of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -208974150 by 1850.\nAnswer: -112959","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*l + y + 2*y + 3 = 0, 0 = 2*l + 3*y + 2. Let w = -1 - -4.2. Let j = w + -3. Which is the second smallest value?  (a) 0.3  (b) l  (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (28244\/4298)\/(2\/(-14)).\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 1 - -155. Let n = a - -343. Let z = 299 - n. What is z rounded to the nearest 100?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(y) = 9*y + 136. Determine r(-33).\nAnswer: -161","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q**(-9\/5)*q)\/q*q\/q**(1\/4) assuming q is positive.\nAnswer: q**(-21\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 612 and 108?\nAnswer: 1836","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let j(t) = -2*t**2 + 4*t + 54. Let l be j(-4). Find the third derivative of 36*d**2 - 3*d**4 - l*d**5 - 1 + 5*d**5 + 2*d**4 - 3*d**4 wrt d.\nAnswer: -60*d**2 - 96*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 511284 to the nearest integer?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Sum 48.2 and -0.011234889.\nAnswer: 48.188765111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 220021 (base 3) in base 4?\nAnswer: 22033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Are -227 and -278 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Total of 2270403.6984 and -0.4.\nAnswer: 2270403.2984","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 224631463?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Sort 393, 0, -317 in ascending order.\nAnswer: -317, 0, 393","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let i(x) = 24*x - 18 - 32 - 50*x + 30*x. Give i(12).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -615 + 1837. What is the units digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-268)\/(-52) - (-4)\/(-26). Let s be 15*(4\/d)\/(-1). List the prime factors of (-82)\/(-3) + s\/(-18).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 50786420*p + 2*p**2 - 50786420*p.\nAnswer: 2*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Sort -52, -5, -2, 1 in ascending order.\nAnswer: -52, -5, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3425*v - 330 = 3455*v for v.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 22504038 and 67512114.\nAnswer: 67512114","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -251 - -754\/3. Let y be (-1)\/(-2)*(-4)\/6. What is the nearest to s in -6\/7, y, 4?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(v) = -4*v + 1. Let o(p) = 5*p - 1. Let c(n) = -5*o(n) - 6*z(n). Let t be (2 + -1)\/((-4)\/20). What is the units digit of c(t)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5242125 a multiple of 41?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -1 or 1\/3604?\nAnswer: 1\/3604","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 35375279131 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*m + 168 = 5*p, -5*p + 3*p = 3*m - 84. What is the greatest common divisor of p and 90?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2558503 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let g(a) = a**2 - 2. Let k be g(1). Let d be k + 2\/2*503. Round d to the nearest ten.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 4.246 from -0.64.\nAnswer: -4.886","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 12648 and 68?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let w(j) = -j**2 - 10*j - 26. Give w(-15).\nAnswer: -101","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence kk when two letters picked without replacement from {k: 5, p: 3}?\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: 486 * 192\nAnswer: 93312","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 694467 to the nearest integer?\nAnswer: 833","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let o(j) be the first derivative of -j**5\/10 - j**4\/2 - j**3\/2 + j**2 + 2*j + 7. Solve o(x) = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 414 and 577530.\nAnswer: 414","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let n(v) = 39*v**2 - 5*v + 5. Let o(s) = 496*s**2 - 64*s + 64. Let m(h) = 64*n(h) - 5*o(h). Let j(c) = 27*c**2. What is j(m(z))?\nAnswer: 6912*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -158647 - -652154. Let u = c - -176493. What is u 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 the fourth root of 5348 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 38 - 32. Let d(y) = -7*y**2 - y - 2. Let h(n) = 6*n**2 + n + 2. Give s*h(o) + 5*d(o).\nAnswer: o**2 + o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -3 in -7247\/5, 0.1084, 1\/8?\nAnswer: 0.1084","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 555581402 to the nearest integer?\nAnswer: 822","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence gj when two letters picked without replacement from egeegegjgeggggenno.\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let s(z) = 2*z**2 - 173*z - 6992. Calculate s(-30).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: 227*0.23\nAnswer: 52.21","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 215 a factor of 7484?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*d - 252 = 11*d. Let u be (-9)\/d*-2*0. Solve -8\/13*o**3 - 12\/13*o - 2\/13*o**4 + 22\/13*o**2 + u = 0 for o.\nAnswer: -6, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 312 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (9\/2)\/(168\/280). Let h(x) be the first derivative of -15 + 2*x**3 + g*x**2 - 9*x. Let h(m) = 0. Calculate m.\nAnswer: -3, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) 79  (b) -3  (c) -1086  (d) 2  (e) -9\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 2742 to the power of 1\/4, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:10 AM and 1:26 PM?\nAnswer: 616","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-18 + -2)*20\/(-25).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 1281, 1263, 1233, 1191, 1137?\n\"Answer: -6*s**2 + 1287","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g(a) = -9 + 2*a + 11 - 3 - 11. Let b be g(12). Solve -5*s + 13 = -b for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -822 - -4123\/5. Sort 0.2, q, -2\/3 in decreasing order.\nAnswer: q, 0.2, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -14*m - 1 - 4 + 5 to the form u + c*m and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Convert -59734 (base 11) to base 12.\nAnswer: -41984","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -1\/3  (b) 2\/11  (c) -0.015\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is -10230343201 (base 5) in base 2?\nAnswer: -101001001011001001001111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express (-3*i + 3*i + 12*i**2)*(977*i - 31*i**2 - 977*i) in the form n*i + x*i**2 + u*i**3 + v + z*i**4 and give z.\nAnswer: -372","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is -3368689899668 minus 5?\nAnswer: -3368689899673","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2098 is divided by 60.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 9 - (-1 + 1) - (65 - 57).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (5 + (-4)\/(-1 + -3))\/2. Let a(f) = -3 + 13*f**3 - 15*f**3 + 5*f**2 + 3*f**m. Is a(8) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(v) = -v**3 - 5*v**2 - 9*v - 3. Let y be t(-4). Suppose -4*f = -5*m - 125, m + y = -2*f + 62. Solve -2*u - 6*x + f = -x, 4*x = -5*u + 20 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 38 divide 22002?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose v = -2*v + 60. Solve 5*g + v = 3*m, -4 - 4 = m + 2*g for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -20799485*p - 30163110 wrt p?\nAnswer: -20799485","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 20231220 a multiple of 620?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -179*b + 703 + 431*b - 698 - 110*b.\nAnswer: 142*b + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 448 = 312*u - 340*u for u.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: -130010132201 (base 4) to base 2\nAnswer: -11100000100011110100001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 89 and 3382?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -0.407 + 0.027. Let h = y + 0.08. What is the closest to 0 in -0.5, -5, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -719, -1437, -2155, -2873, -3591?\nAnswer: -4309","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2838.\nAnswer: 2, 3, 11, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Does 166 divide 434?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 330825 + 32379 = 76*m. What is the thousands digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*p = -3*p + 6. Let n be (5 - -1)\/((-2)\/p). Let r = n + -6. What is the units digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-3)\/(-12) - 322299\/92. What is a rounded to the nearest 1000?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 1a473298 - 2a?\nAnswer: 1a473269","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: 0.5 times 0.103682\nAnswer: 0.051841","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 2438 and 184.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let 32*i**5\/17 + 150*i**4\/17 + 162*i**3\/17 = 0. Calculate i.\nAnswer: -3, -27\/16, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -0.302, 5, -3\/2, -3\/7, 2\/9?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 25909967?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 724246?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Does 4 divide 1598?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -10*r**4 + 12*r**4 - 24*r**2 + 7 + 3*r - 9 - 2*r to s*r**2 + t*r + d + i*r**4 + h*r**3 and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -41 = 2*d + 19. Let w be (1 - 24\/15)*d. Suppose -s + w = 5*s. Solve -4*g - s = -5*v - 0, v = -3*g + 12 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of h**4 + 416*h**3 - 2*h**2 + 1052*h.\nAnswer: 24*h + 2496","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 70 and 11037033.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 4*(-5)\/40*-58. Suppose o = 5*x - 721. What is the tens digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -93700 rounded to the nearest ten thousand?\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let f(w) = 7060*w**3 + 93*w - 92. Is 66 a factor of f(1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -498.8*2.\nAnswer: -997.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 37 = 3*k - 4*z - 6, k - z - 15 = 0. Let p be 1\/2*(k - -17). Calculate the remainder when -11 + 7 + p*9 is divided by 38.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*q + 14 + 0 = 2*u, -5*q = 2*u - 16. Let g(h) = -h**3 + 2*h**2 + 4*h - 1. Does 2 divide g(u)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 590 - 1325?\nAnswer: -735","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: -0.00473884681 - 168\nAnswer: -168.00473884681","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let r(t) = -t**3 - t**2 - 2*t - 3. Let s(y) = 172*y + 6017. Let h be s(-35). What is r(h)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 48240600.11 rounded to the nearest one million?\nAnswer: 48000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 29\/2 of a milligram in micrograms?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*v + v + 5*v - 11*v.\nAnswer: -3*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let d(z) = -3*z - 6. Let n(o) = o**3 + o**2 + 2*o - 4. Let s be n(0). What is d(s)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 18 - (6 + (5 - 48) - 9)\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is -483240 less than -483134?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let s(x) = 2*x + 4 + 4 - x. Let b(y) = -y**2 + 55*y - 577. Let f be b(41). Calculate s(f).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*b = 5*t + 2*b + 25, -5 = t - b for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 493 is divided by 234?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 48 and 291606.\nAnswer: 2332848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let c(r) = 211*r**2 + 118*r + 73. What is the ten thousands digit of c(8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(z) = 7*z**3 - 2*z**2 + 2*z - 1. Suppose i + 2 = -3*t + 13, -3*t + 10 = 2*i. Let c be 163\/(-11) - t\/22. Let p be (-3 + c\/(-6))*-2. Give n(p).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1032 (base 4) to base 7\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 43529\/606 + 438\/101. What is the third biggest value in 0.5, 5, z?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -651516 less than -1303029\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: 5682 divided by 2\nAnswer: 2841","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let m(k) = k - 3*k - k + 4*k. Let f be m(-2). Sort -3\/4, f, 5 in ascending order.\nAnswer: f, -3\/4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.946 take away 1.31759?\nAnswer: -0.37159","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (2 + 1 - 1)*(2 - 6 + 3)*(3 - 3 - 2*p)*(-6 + 5 + 15) to the form k + b*p and give b.\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let a(u) = -u**2 - 7*u. Let k be a(-6). Let i = 13 - 9. Suppose 0*o + 14 = -2*o + i*w, w - 9 = -5*o. Solve 3*v + n + k = 0, 2*v - n + 5 = o for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1336912550 a multiple of 3125?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 28 and 252.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1218 = -28*l + 994 for l.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 12277 + -12282. Sort -2\/3, 283\/3, 2, c in increasing order.\nAnswer: c, -2\/3, 2, 283\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 8 = -3*r + 14 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (367696\/660275 - 12\/22)\/((-2)\/(-10)).\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in 6\/5 of a minute?\nAnswer: 72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 45 divided by 45.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -609 - 231 = -6*g. What is the highest common divisor of g and 80?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -15255061, -15255044, -15255027, -15255010, -15254993, -15254976?\nAnswer: -15254959","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Add together -237973340 and -0.06.\nAnswer: -237973340.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -f**2*w + f**2 + 2*f*w + 4179*f + 70*w + 2 wrt f.\nAnswer: -2*f*w + 2*f + 2*w + 4179","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 286\/(-22) - ((-36)\/(-6) - 22). Suppose 25\/2 - 7\/4*k**4 - 223\/4*k**2 + 75\/4*k**l + 105\/4*k = 0. Calculate k.\nAnswer: -2\/7, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(c) = 5*c + 4. Let v(g) = -5*g - 5. Let r(t) = -5*i(t) - 4*v(t). Suppose -12*w - 5 = -11*w. Suppose 0 = 3*l + 7 + 11. Let d(z) = 4*z. Give l*d(f) + w*r(f).\nAnswer: f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 103.67774*0.1.\nAnswer: 10.367774","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is -16 + 12686.92662?\nAnswer: 12670.92662","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let m(p) = -5*p - 3*p - 6*p**2 + 9*p**2 - 2*p**2 + 3. Determine m(5).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-4752)\/(-13608) + (-4)\/7.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ikikpduuudua. Give prob of sequence duk.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 2\/7  (b) 2\/9  (c) -35\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Convert -17e (base 16) to base 10.\nAnswer: -382","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:21 AM and 1:23 PM?\nAnswer: 302","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v*(v**(-2\/31)\/v)\/v)\/(v*v*v*v**(3\/2)) assuming v is positive.\nAnswer: v**(-345\/62)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let u(k) = 1198*k + 8389. Give u(-7).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (1\/(-1704))\/((-15)\/(-4)). Let u = 21406\/3195 - x. What is the common denominator of -61\/4 and u?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 2281*f**3 + 2817?\nAnswer: 6843*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -927169.5 rounded to the nearest 1000?\nAnswer: -927000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 6752480.\nAnswer: 2, 5, 7, 6029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let o be ((-6)\/(-12))\/((-8)\/(-64)). Let v be 13\/5 - 2\/(-5). Sort -2, v, o, 6 in decreasing order.\nAnswer: 6, o, v, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*g = -x + 15, 0*g = 4*g + 4*x. Let o = -5 + g. Find the common denominator of 3\/((-12)\/82) + o and -44\/9.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 145820843 to the nearest integer?\nAnswer: 526","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*q - 52 = -5*b - q, 3*b - 30 = -3*q. Solve 4*p - c + b = 1, 0 = -4*p - 2*c - 4 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -0.4  (b) -6\/61  (c) -996  (d) 5  (e) 1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let z(q) be the third derivative of -q**6\/120 - q**5\/60 - q**3\/6 + 6*q**2. Let l(c) = 8*c**3 + 5*c**2 + 5. Calculate l(i) + 5*z(i).\nAnswer: 3*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: -3 + 13 - (-3 + (0 - (13 + -18)) + 5)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f(l) be the third derivative of 1\/90*l**6 + 0*l - 2\/15*l**5 + 2\/3*l**4 + 2\/3*l**3 - 5*l**2 + 0. Let w(c) be the first derivative of f(c). Solve w(g) = 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(p) = 3*p**2 + 43227*p + 129676. Calculate q(-3).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 241826920 a multiple of 274?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1941 is divided by 105.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve a = -5*a - 12 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence jj when two letters picked without replacement from jdjjjjd.\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 1831602 - 5732914203\/3130. Find the common denominator of -53\/5 and b.\nAnswer: 3130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14*p - 11*p = -15*p. Solve p = -n + 3 + 1 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -24 = -4*f + 16. Let a = 12 + -5. What is the least common multiple of f and a?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 102 and 24001671.\nAnswer: 48003342","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -112 + 54. Let q = a + 86. Let f = 8471 - 8461. Calculate the remainder when q is divided by f.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(s) = -s**2 - 19*s + 2. Calculate r(0).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {r: 5, a: 2}. Give prob of picking 1 r and 1 a.\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*r + 9, 4*r = 5*u + 7*r + 9. Put 3, u, -11, -4 in decreasing order.\nAnswer: 3, u, -4, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 24\/6*(-988)\/208?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (1 + -2)\/(-2)*0 - 0. Let w be 12 - (1 - (j - 2)). What is the first derivative of -25*b + 7*b + w*b - 11 wrt b?\nAnswer: -9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 5118935?\nAnswer: 5, 29, 43, 821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -547.73 - 6.27. Which is bigger: 1\/3 or r?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-3 + (sqrt(7) - (3 + sqrt(28)\/sqrt(4))))*-2)**2.\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 295 and 555?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let g(i) be the second derivative of i**6\/40 + 19*i**3\/6 - 3*i**2 - 2*i. Let h(f) be the first derivative of g(f). Find the first derivative of h(n) wrt n.\nAnswer: 9*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 896 divide 37913344?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 66 - -2732?\nAnswer: 2808","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-6303)\/(-4011)*49\/462. Factor -b*m**4 - 50\/3*m + 0 - 65\/6*m**2 - 7\/3*m**3.\nAnswer: -m*(m + 4)*(m + 5)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 0\/(-1 - 0)*1. Suppose -n + 4 + 2 = r. What is the third derivative of l**6 - 3*l**6 + l**6 - 4*l**n - l**2 wrt l?\nAnswer: -600*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(p) be the third derivative of p**7\/210 + p**3\/6 + 6*p**2. Let u(j) = -154*j**4 + 86. Let a(o) = u(o) - 3*z(o). What is the first derivative of a(x) wrt x?\nAnswer: -628*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 7*x + 3 - 31. Suppose -4*a + 43 - 11 = x*m, -4*a + m = -12. Solve 2*b + 25 = -5*s, -2*b + 20 = -0*b - a*s for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 247873 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 6 + (-8 + 2 + 0 + 8 - 2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -3 + e476?\nAnswer: e473","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: -2221 (base 3) to base 7\nAnswer: -142","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z(q) = -5*q**3 + q + 12. Let j(k) = -k**3 + 1. What is -4*j(w) + z(w)?\nAnswer: -w**3 + w + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -2\/443, -0.3, 0.18?\nAnswer: 0.18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2 divided by -47465.\nAnswer: -2\/47465","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 552*o**4 - 9023*o**3 - 96*o**2 + 3*o - 2137 wrt o.\nAnswer: 13248*o - 54138","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: 8.3 times -5\nAnswer: -41.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*z - 47 = -t, 3*t = -0*z - 4*z + 46. What is the highest common factor of 7678 and t?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -202.89 - -202.9. Put j, -2\/3, -47, -0.1 in increasing order.\nAnswer: -47, -2\/3, -0.1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-1)\/2)\/(22\/(-132)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from iiiiiaaaiaicaaiaaaaa.\nAnswer: 11\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (29295\/1860)\/(-3 + 77\/28).\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 241495922 to the nearest integer?\nAnswer: 623","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let j(d) = d**3 - 2*d**2 - 7*d + 61. Let t be 4 + (5\/2)\/5*-2. Let b be t\/((-9)\/(-6))*(-57)\/(-6). Is j(b) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2 in 3\/4, -2.1, 5?\nAnswer: -2.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) 17  (b) -0.5  (c) 0.1  (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (16936\/(-38106))\/((-14)\/(-81)).\nAnswer: -18\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence rw when two letters picked without replacement from jrrwjrwrwjw.\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -411 + 415. Let g = 200 - 997\/5. What is the biggest value in g, 5, t?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 22328767 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 0.2, 0.3, 1.6, 242, -2\/7?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -9*j - 0 + 54. Suppose 4*a - j*a = -52. What is the highest common divisor of a and 39?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -3*k**2 - 12*k - 3*k + 16*k - k**3 to the form m*k**3 + p*k**2 + y + g*k and give p.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 195013 to the nearest integer?\nAnswer: 442","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.5 - 3658.90127400693.\nAnswer: -3659.40127400693","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 11 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many nanoseconds are there in twenty-one fifths of a microsecond?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00000885998 rounded to six dps?\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((i*i\/i**34)\/i**(2\/7))\/(i\/(i\/(i*i**(-23)))*i)**47 assuming i is positive.\nAnswer: i**(6683\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from yyytcyccucuuufy. What is prob of sequence uf?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 35\/(-20) + (-1)\/4. Let o be (a + 0 + 1)\/(-1). Find the first derivative of -5*y**3 + y + o - y + y**3 wrt y.\nAnswer: -12*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 15 a factor of 2169?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let b(c) = -29*c**2 + 48*c + 237. Calculate b(-6).\nAnswer: -1095","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -2 - -4. Calculate the common denominator of ((-243)\/6 + -2)\/t and -29\/50.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(d) = d - 1. Let h(c) = c**2 - 7*c - 2. Let j(t) = -h(t) + 2*r(t). Let a be j(5). Let p be 1 + (26\/a)\/(-1). Is p bigger than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 a when two letters picked without replacement from {a: 3, k: 3, o: 1}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let o(z) = -2*z**3 + 29*z**2 + 56*z + 29. Let d be ((-2)\/6)\/((-4)\/180). Does 14 divide o(d)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j**(1\/21)*j**(-9\/2))\/((j*j**2)\/j)**(-22) assuming j is positive.\nAnswer: j**(1661\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((o*o\/(o*o**(6\/5)))\/o*o)\/o)\/o*o**0*(o*o**(-3)\/o)\/o**(-3\/7) assuming o is positive.\nAnswer: o**(-167\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -5\/2 + 1. Let r = 123\/1225 + -1\/49. What is the second biggest value in d, -0.1, r?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 39 divide 708?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 0 - -11. Calculate the greatest common divisor of u and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (2*(-66)\/12)\/(694\/3470).\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 538 minutes after 11:47 AM?\nAnswer: 8:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -5 + 1 + 45*o + 23*o**4 - 46*o - 18 with respect to o.\nAnswer: 92*o**3 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -2 + (-8 - -11) + -3 - -61 - (1 - -5).\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -3245 (base 8) to base 15\nAnswer: -786","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -4099832 or 220?\nAnswer: 220","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*j**2 + 691431*j + 691434 = 0. Calculate j.\nAnswer: -1, 230478","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let l(w) be the third derivative of -2\/3*w**3 + 0*w + w**2 + 1\/15*w**5 - 1\/120*w**6 + 1\/24*w**4 + 0. Let c = -17 + 21. Calculate l(c).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 126 and 154.\nAnswer: 1386","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -7 + (-14 - -2)\/4 + 6.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -70 + 131. Let c = b - 43. Suppose 2*x - c = -10. Solve -x*n = -15 - 1 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.1182601708 - -24311.\nAnswer: 24311.1182601708","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: 0.9 - 3871\nAnswer: -3870.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let w(b) = -b**3 - 22*b**2 - 55*b - 217. Let z be w(-20). What is the greatest common factor of 1577 and z?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(o) = -o**3 + 4*o**2 + 6*o - 2. Let x(r) = r**2 + 5*r - 1. Let z be x(-6). Let d be u(z). Let f(m) = -m**3 + 5*m**2 - 5*m + 4. Calculate f(d).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 394 - 399. Suppose -6*r + r = 0. Suppose 4*v - 36 + 32 = r. Put 5, v, s, -2 in decreasing order.\nAnswer: 5, v, -2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 7 + -2. Suppose -r*f = -4*d + 4 + 4, 0 = 3*f - d + 2. Suppose f*g = g. Which is the biggest value?  (a) g  (b) -4\/9  (c) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -26050, -104425, -235128, -418159?\n\"Answer: -26164*g**2 + 117*g - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a(h) = -5*h**2 - 6. Let l = -4 + 10. Suppose -2 - 2 = j - 5*r, 5*j + 2*r - 61 = 0. Let n(p) = 6*p**2 + 12 - 4*p**2 + 7*p**2 - 1. Give j*a(t) + l*n(t).\nAnswer: -t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Express (-6*t**2 - 5*t**2 + 3*t**2 - 16*t**2)*((-3*t - t + 0*t)*(-1 + 1 + 3) + 6*t + 0*t - 4*t - 4*t + 3*t - 5*t) as r + h*t**2 + q*t + f*t**3 and give f.\nAnswer: 384","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -0.25 from -754306.\nAnswer: -754305.75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand (10*g + 4*g + 7*g)*((-3*g - 3*g + 7*g)*(0 - 2 + 0) - 2*g - 2*g + 5*g + 1 - 1 - 2*g).\nAnswer: -63*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -4.4 - -1.8. Let p = 7.4 - g. Let h = -13 + p. What is the closest to 3 in -0.3, 0, h?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -7e - -d8?\nAnswer: 5a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/40 of a litre in millilitres?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*w**2\/11 + 3350*w\/11 + 39912\/11.\nAnswer: 2*(w + 12)*(w + 1663)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -42, -40, -14, 48, 158, 328, 570?\nAnswer: 896","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 62\/105 - -1\/105. Which is the third smallest value?  (a) -4  (b) j  (c) -0.13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -4246 + 4926. Calculate the highest common factor of 935 and j.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -2048169, -8192858, -18434007, -32771616, -51205685, -73736214, -100363203?\n\"Answer: -2048230*f**2 + f + 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z(y) = -3*y**2 - 3*y - 2. Let n be z(-1). Let i be (48\/(-224))\/(n\/(-4)). Let r = -0.8 + 1. Sort 2\/19, i, r in decreasing order.\nAnswer: r, 2\/19, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -2  (b) 0  (c) -93671  (d) -0.03  (e) -1\/11  (f) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -18*y + 484156 = 12*y - 26*y. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1234569 divided by -7?\nAnswer: -176367","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -1*13 + 0 + 7?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence xmmm when four letters picked without replacement from {x: 2, c: 6, m: 5, i: 1, f: 1}.\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let y(m) = 18000*m. Let z(x) = -9*x. Calculate z(y(t)).\nAnswer: -162000*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -132 + 287. Suppose -9*v + 223 = -n. What is the highest common factor of 105 and v?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, 4, -9, -49 in descending order.\nAnswer: 4, -4, -9, -49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d\/(d**(2\/9)\/d)*d*d\/d**(-3\/4))\/(((d**3\/d)\/d)\/(d*d**(2\/9))) assuming d is positive.\nAnswer: d**(19\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -10523, -21047, -31571?\nAnswer: -42095","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -5.5 + 1.5. Let q = -2222422999\/1122 - -1980769. Let y = q - 1\/187. What is the third biggest value in f, -3, y, -3\/7?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve r + 38 = -3*b, -4*r - 160*b + 21 + 34 = -r - 326*b + 162*b for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 39835 - 119340 + 39754 + 39751 - 7*z.\nAnswer: -7*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -6*f + 10*f - 15*f + 21*f - 9*f - 69.\nAnswer: f - 69","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 207\/184*12\/9*-6.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -0.4 from -8767437685743.\nAnswer: -8767437685742.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand -5*o**2 + 3*o**2 - o**2 + (-2*o**2 + 4*o**2 - o**2)*(-12467 + 6562 + 6675).\nAnswer: 767*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let f(z) = -22*z - 292. Calculate f(-13).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: 299\/2268 - 6778\/274509\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(u) be the first derivative of 1\/3*u**2 + 0*u + 8\/9*u**3 + 87 + 1\/2*u**4. Solve n(c) = 0 for c.\nAnswer: -1, -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(88) + -6*(-2*sqrt(88) + sqrt(88) - sqrt(88)))\/(sqrt(55)\/sqrt(20)).\nAnswer: 52*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let r(d) = 5*d**2 - 86*d + 324. Give r(4).\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -690 = -m - 9*m. Suppose 4*n = -4*w + 452, 5*w = 5*n - 441 - 144. Calculate the greatest common factor of n and m.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 473*p + 5656*p**3 - 473*p + 275*p**3 - 9300 with respect to p.\nAnswer: 17793*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (49\/((-12)\/12))\/(147\/(-21))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -12689322, -25378649, -38067978, -50757309, -63446642, -76135977?\n\"Answer: -m**2 - 12689324*m + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*y - 6*y = 44. Let p = -8 - y. Suppose v + 7 = -5*u - 8, 9 = -p*u. Solve -15 = -3*d - 3*b, -4*d - d + 5*b + 5 = v for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -0.99 - -0.19. Which is the fourth biggest value?  (a) w  (b) 5  (c) 0.3  (d) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*a**2 + 7612*a - 22800.\nAnswer: -4*(a - 1900)*(a - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let x(m) = -191863*m. Let f(t) = 11*t**2. Calculate x(f(j)).\nAnswer: -2110493*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1 + -3 + 0 + sqrt(833) + 3 + 1*sqrt(833)*2)**2.\nAnswer: 42*sqrt(17) + 7498","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(42)\/sqrt(96)*4 - (sqrt(448) - sqrt(56)\/(sqrt(8)*2)))**2 + 1.\nAnswer: 1187\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 567160 and 30?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is -361 bigger than -12596\/35?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let o(a) = 2*a**2 - 12*a + 12. Let j be o(9). What is the highest common factor of 165 and j?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 10605 and 35.\nAnswer: 10605","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: ((54\/3)\/9)\/(-1*4\/16)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 29310 is divided by 205?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 141*w = 143*w + h + 6, -3*w = 6*h + 27 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 3850.7 - 72122.7. Let p = d + 68307.969. Let r = 36 - p. What is r rounded to 2 decimal places?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(s) = 2*s**2 - 4. Let n(l) = 3*l**2 - 5. Let z(i) = 5*b(i) - 4*n(i). Let k(g) = -17*g. Calculate z(k(f)).\nAnswer: -578*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let p(a) = -a + 9. Let v be p(9). Is -1 at most as big as v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(h) = 2*h**2 - 2*h - 14. Suppose -7*k + 3*k = -44. Let f = k - 17. Is 10 a factor of n(f)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*f**2\/9 + 241354*f\/9 + 107272.\nAnswer: -2*(f - 120681)*(f + 4)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 236*m**4 - 9468*m**2*q + 72899*m*q + m + 2*q wrt m?\nAnswer: 2832*m**2 - 18936*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let g(u) = u**3 + 29*u**2 - 2644*u - 16687. Give g(-6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let c(a) = 12*a**2 + 8*a - 14. Let w(h) = 4*h**2 + 2*h - 5. Calculate -6*c(v) + 17*w(v).\nAnswer: -4*v**2 - 14*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let m(l) = -2*l**2 + 3*l - 3. Let s(z) = z + 8. Let w be s(-5). Let d(r) = -r**2 - 4 + 0*r**2 + r + 3. What is w*d(v) - m(v)?\nAnswer: -v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -h = -5 + 5. Differentiate -60 + 0*o + h*o + 28*o**3 + 34 wrt o.\nAnswer: 84*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find a such that a**3\/7 + 278*a**2\/7 - 563*a\/7 - 120 = 0.\nAnswer: -280, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 37121.\nAnswer: 7, 5303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-9*(-3)\/(-945))\/(6\/(-20)). Is d <= 0.09?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(z) = 483*z**2 + 2. Let l(m) = -967*m**2 - 5. Determine -2*l(i) - 5*u(i).\nAnswer: -481*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, -3, 76, 2, -302, 3, 1 in descending order.\nAnswer: 76, 3, 2, 1, -3, -4, -302","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let a(t) be the first derivative of -t**6\/3 + 2*t**5\/5 - 224*t**4 - 4287*t**2\/2 - 5173. Find the second derivative of a(d) wrt d.\nAnswer: -40*d**3 + 24*d**2 - 5376*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -34, -40, -48, -58?\n\"Answer: -m**2 - 3*m - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*j = a - 2*j - 24, 11 = -a + 3*j. Suppose 4*o - 304 = -64. Suppose a*f = -o + 160. What is the tens digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -2.4 + 4.4. Let k = 2 + h. What is the third smallest value in -1, -0.1, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6 = 6*t - 12 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 55055*m**4*x + m**4 + 2746*m**2*x - m**2 + 9*x + 1 wrt m?\nAnswer: 1321320*m*x + 24*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -66 divided by 22?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*q - 53 = -u, -q + 0*q + 13 = u. Calculate the remainder when q is divided by 172\/28 - (-4)\/28*-1.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(d) = d + 57. Let p be v(-6). Are 49 and p nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -42496, -42424, -42352, -42280, -42208?\nAnswer: -42136","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 56 - 32. Is t a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence zrrh when four letters picked without replacement from {h: 4, z: 2, c: 2, q: 3, r: 6}?\nAnswer: 1\/238","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Sort 9, -8, -2, -3, -4, 22 in descending order.\nAnswer: 22, 9, -2, -3, -4, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let s be ((-18)\/51)\/(6\/(-153)*3). Let c(a) be the second derivative of 1\/4*a**4 + 29*a + 12*a**2 + 0 - 9\/2*a**s. Factor c(m).\nAnswer: 3*(m - 8)*(m - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 0 - -5. Suppose -11*k + 12 = -m*k. Let t = -3 - -5. Solve -t*q - 3*v - 17 = 0, -k*v + 5*v - 3 = 3*q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(d) = 2*d + 7. Let k(l) = -6 - 21*l + 9*l + 13*l. Let y be k(5). Let v(o) = o + 1. Let c(r) = y*q(r) + 3*v(r). What is the derivative of c(i) wrt i?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -265 + 279.1. Let i = l - 14. Let n = 3 + -8. Which is the second biggest value?  (a) 2\/3  (b) i  (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -49*b - 306 + 306 + 39*b - 240*b to the form q + j*b and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*u - 2*h + 19 = -31, 5*u + 3*h + 35 = 0. What is the second smallest value in 0.3, -1, u, 1\/3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -4 + 4. Suppose -2*o - o = m. Let h(u) = u**3 - u**2 + 3. Let s be h(o). Solve s*x = -x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -213 + 161. Let x = -49 - n. Put x, 2, -0.4, 2\/17 in decreasing order.\nAnswer: x, 2, 2\/17, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be -2*(-4 + 2)\/2. Let h(p) = -3*p**f + 4 - 4. Let q(j) = 3*j**2. Determine q(h(y)).\nAnswer: 27*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand a**3 - 1 - 1 - 2 + (68*a**2 - 286*a + 286*a)*(-2*a + 6*a - a).\nAnswer: 205*a**3 - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 1.6 + -0.6. Suppose 5*y - 45 = -4*w, 4*w = 2*y - 44 + 26. What is the closest to o in -2, -6, y?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -117899 and -0.126.\nAnswer: 14855.274","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*sqrt(171)*1 + sqrt(171) + sqrt(171) + -1 + 1)**2 + ((sqrt(171) + 2 + 1)*-1)**2.\nAnswer: 18*sqrt(19) + 2916","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 61484?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 200, 183, 164, 143, 120, 95, 68?\n\"Answer: -i**2 - 14*i + 215","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -5  (b) 17979  (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 231 - -58. What are the prime factors of o?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 12 - -8488?\nAnswer: 849a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0 in 2, -4\/5, -0.3, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Convert 13707.633 months to decades.\nAnswer: 114.230275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round -1.584092337 to one decimal place.\nAnswer: -1.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let i(m) be the second derivative of -m**5\/4 + 115*m**4\/6 - 2645*m**3\/6 - 8*m + 5. Factor i(g).\nAnswer: -5*g*(g - 23)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -11.4 - -11. Let v = 0 + 0. Which is the closest to v?  (a) s  (b) 4  (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 356478 is divided by 1620.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Determine c so that 3*c**3 - 918*c**2 - 4647*c - 5598 = 0.\nAnswer: -3, -2, 311","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -7\/159 + 74\/477. Sort 7\/5, 49, -3, h in increasing order.\nAnswer: -3, h, 7\/5, 49","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 4.8 - 4.81. Which is the nearest to -1\/4?  (a) -3  (b) q  (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 51*z = 105*z + 54. Let u = -20 + 6. What is the nearest to u in z, -2\/3, 2, 4?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 24936?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is -21765 divided by 4353?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 23\/9 in -3\/7, 1, 2, -0.3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 197044 to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 16\/((-8)\/(8\/2))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*g - 5*g - 2 = 2*x, 22 = -4*x - g. Let q be (-143)\/(-66) - (-1)\/x. Solve q = -3*v - 1 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.000019161 to six dps.\nAnswer: -0.000019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 6207*o - 1271*o + 0*o**3 + o**3 + 1.\nAnswer: o**3 + 4936*o + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 4655.92081 + 0.07919. Let y = 4654.031 - s. Let d = 2 + y. Round d to 2 dps.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(d) = -93*d + 33*d + 0 + 30*d + 1 + 32*d. Let v(u) = 3*u + 3. Calculate 7*j(r) - 4*v(r).\nAnswer: 2*r - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*b - 12 = -b. Let v be 50\/5 + (-6 - b). Solve -2*f + 20 = -v*f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j**1)**(1\/2)\/(j\/(j\/j**1))**(-37) assuming j is positive.\nAnswer: j**(75\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Express 0*d + 4*d**2 - 2*d + 2*d as l*d + s*d**2 + c and give s.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Find q, given that -5*q**2 - 1065*q = 0.\nAnswer: -213, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -44 = -107*p + 103*p. Calculate the smallest common multiple of 52 and p.\nAnswer: 572","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 8 + -9 + 5 + -1. Suppose -4*k + 112 = 5*r, 3*k + 82 = s*r - 2*k. Is 26 greater than or equal to r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(c) = -c**2 - 8*c + 2. Let m be s(-8). Suppose 0 = m*l - 3*v - 8 - 6, 3*v + 22 = 4*l. What is the remainder when 9 is divided by l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence vm when two letters picked without replacement from zmvnn.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 9?  (a) -414  (b) -2\/11  (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let o(s) = -s - 3. Let r = -4 - 9. Let k be o(r). Suppose -5*i - k = -10*i. Solve 4 + 6 = -i*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -12*y + y - 7*y + 6*y to s + f*y and give f.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1857407 to the nearest integer?\nAnswer: 1363","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {t: 2, p: 2, i: 2, x: 1, y: 1, q: 1}. What is prob of picking 1 t, 1 i, 1 p, and 1 x?\nAnswer: 4\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 40*i**2 + 1862293121*i - 1862293121*i.\nAnswer: 40*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of (-5)\/((-25)\/(-5)) - -31 and 6\/15 - 88\/(-5).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-2*52\/(-16))\/(1\/2). Suppose -4*u + u = -66. Let x = u - s. Solve 3*c = -2*o - x, c - 4*c - 3*o = 9 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x**(-2\/21)\/x)**(2\/73)*((((x\/x**(-1\/18))\/x)\/x*x)\/x)**(-43) assuming x is positive.\nAnswer: x**(373265\/9198)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 326455826 to the nearest integer?\nAnswer: 689","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -149\/60876396 and 141\/5180.\nAnswer: 304381980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 5 + 65?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 6055 plus 19026908942?\nAnswer: 19026914997","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let u(v) = 2*v**3 + 4*v**2 - 15*v - 12. Give u(-5).\nAnswer: -87","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t**5\/(t**(-1\/8)*t*t)*(t*t\/t**(-1)*t)**6)\/((t*t\/t**(-3\/5))\/t*t*t**(-2\/5))**(-14) assuming t is positive.\nAnswer: t**(2317\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -1190 + -c?\nAnswer: -119c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -4 + 5. Let u = 11 + -11.3. Let m = -0.6 - u. Which is the smallest value?  (a) x  (b) -5  (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0 (base 6) to base 14.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(76) - 4*sqrt(76)) + sqrt(76))*1)\/(sqrt(40)\/(sqrt(640) - sqrt(10))).\nAnswer: -14*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((p*p**(-27))\/p**33)\/(((((p\/p**(-15\/4)*p*p)\/p*p)\/p)\/p)\/(p*p**(7\/6))) assuming p is positive.\nAnswer: p**(-739\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let h(y) = y + 8. Let f be h(-4). Let m(k) = 4*k - 42. Let a be m(12). Find the third derivative of u**4 - a*u**4 + u**4 - 5*u**2 + u**f wrt u.\nAnswer: -72*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 6384935 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 14*b - 19*b = 0 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 13 - 13.24. Let n = 0.03 + 0.03. Let v = b - n. What is v rounded to one decimal place?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 16497, 16546, 16597, 16650, 16705?\n\"Answer: n**2 + 46*n + 16450","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.780975 days in microseconds?\nAnswer: 67476240000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-41)\/(984\/(-3042)))\/(-6) - 2\/(-16).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange ((1 - 1 - 2)*(1 + 0 + 1) + 2 + 3 - 6)*(3*y**4 - 18*y**4 - 234*y + 232*y) to f*y**4 + b + h*y**2 + o*y + r*y**3 and give o.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Convert -22451005 (base 6) to base 13.\nAnswer: -1b2690","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is -242710727 at least as big as -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -194*d - 212*d - 254*d + 135*d to u*d + a and give u.\nAnswer: -525","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 140  (b) -2  (c) -11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:58 PM and 4:47 AM?\nAnswer: 709","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 361\/38 + 5 + 36\/(-8) and 1756.\nAnswer: 8780","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0 divided by 272\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -0.7 or 187?\nAnswer: 187","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 41944159 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 67 - 63. List the prime factors of y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0153373l in millilitres?\nAnswer: 15.3373","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence sh when two letters picked without replacement from turssuushuuturr.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Sort 24, -33, -8, -3, -5080 in descending order.\nAnswer: 24, -3, -8, -33, -5080","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 247, 1399, 3353, 6109, 9667, 14027?\nAnswer: 19189","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-1680)\/1260 + -1*(-41)\/24. What is the third smallest value in n, -14, 4\/3?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(w) = w**2 - 7. Is p(9) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(b) be the third derivative of -b**5\/60 + 5*b**4\/8 + 5*b**3\/6 - 5*b**2. What is the remainder when d(7) is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 763924.9941 + -764013. Let y = z + 88. Round y to 3 decimal places.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 386773 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 30\/(-99) + 376\/(-1034). Which is greater: l or 419.4?\nAnswer: 419.4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 175503.\nAnswer: 3, 19, 3079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 647440 to the power of 1\/7, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Convert -20b486 (base 15) to base 11.\nAnswer: -9737a5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 0*d - 3*d + 2*d + (2 + 1 - 1)*(1 + 2*d - 1) + 6 - 9 + 25*d + 6 - 2621 - 124*d + 2621 to the form l*d + k and give k.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Express 1292*c + 7387*c**2 - 430*c - 434*c - 428*c in the form s + j*c + g*c**2 and give g.\nAnswer: 7387","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let c(i) = i**2 + 21*i + 22. Let k be c(-22). Suppose 53*z = k*z + 63. Does 2 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j**(-1)*j*j*j**(3\/4)\/j)**(-2\/73) assuming j is positive.\nAnswer: j**(-3\/146)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.1069207 to 2 dps.\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -15 + 14.951. Let p = d + 0.026. What is p rounded to 2 decimal places?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 35, 114, 239, 404, 603, 830, 1079?\nAnswer: 1344","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2371743.\nAnswer: 3, 11, 23957","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 50 = 5*o + 4*q, 9*q = 11*q. Suppose -d - d + 48 = 0. What is the lowest common multiple of d and o?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 7 divide 11371?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is -1853102871771 plus 1?\nAnswer: -1853102871770","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 315 is divided by -1*3\/(-7) - 16600\/(-140)?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(h) = 21*h + 3. Suppose 2*i - 2*m + 7*m = 0, -4*i = 3*m. Suppose -u + 6*u - 35 = i. List the prime factors of d(u).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(y) = -8*y**3 + 82*y**2 + 38*y + 360. Determine k(11).\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Sort -19, -5, -0.55, -0.1 in ascending order.\nAnswer: -19, -5, -0.55, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -18*w = -14*w - 46628. Suppose -4*s + 5*m + w = 0, 4*s = -s + 2*m + 14584. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 547 minutes before 5:56 PM?\nAnswer: 8:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 98 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let h(i) = -i**2 + 45*i - 353. Let x be h(34). Put x, -6, 6 in increasing order.\nAnswer: -6, 6, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2417?  (a) -774  (b) -2  (c) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*s + 3*f = -15, -2*s - 2*s - 9 = 5*f. Let b = s - -11. Solve -b*n = -4*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(v) be the second derivative of -v**5\/5 - 5*v**3\/3 + 7*v**2\/2 - 22617*v. Let j(a) = 7*a + 6*a**3 - 4 - 1 - 3*a**3. Give 5*c(h) + 7*j(h).\nAnswer: h**3 - h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is ee3 - 0?\nAnswer: ee3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let h be ((-5)\/((-15)\/9) - -6056) + 1. Suppose -41560 = -5*y - h. What is y rounded to the nearest one thousand?\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 51\/(12240\/5700) - (-1 - 2 - -20). Let -3\/2*k**4 + 3*k**2 - q*k - 3\/2 - 27\/4*k**5 + 27\/2*k**3 = 0. What is k?\nAnswer: -1, -2\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(a) be the third derivative of -a**7\/280 - a**6\/96 - a**5\/240 + a**4\/96 + 39*a**2. Let y(h) = 0. Calculate h.\nAnswer: -1, 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-33)\/(-9)*(6 + -3). Let c(j) = -17*j - j**2 + 5*j + s*j. Let i(w) = 3*w**2 + 5*w. Give 5*c(r) + i(r).\nAnswer: -2*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*i**3 - 23823*i**2 - 1052568*i - 11594220 = 0. What is i?\nAnswer: -22, 7985","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Convert -10 (base 4) to base 3.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: 18a (base 14) to base 5\nAnswer: 2233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:53 AM and 5:04 AM?\nAnswer: 251","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -1\/14 and 7\/752.\nAnswer: 5264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0 + -6 + (10 - 5) + (-1 - -2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is one quarter of a week in hours?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 74149 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -0.02 + 0. Let t = b - -3.02. Let x be ((-9)\/15)\/((7 - 1)\/(-2)). Put x, t, -5 in ascending order.\nAnswer: -5, x, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -293 bigger than -2056\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (4\/6)\/((-10)\/60). Let l be ((-1)\/1)\/(f\/36). Suppose 2*y + 10 = 0, 3*r + 3*y + 10 = -2*y. Solve -l = -r*k + 11 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(v) = v**2 + 30*v - 9. What is h(-8)?\nAnswer: -185","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -478 - -4. Let d = j + 474.413. What is d rounded to two dps?\nAnswer: 0.41","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3896*s - 4641*s + 728*s.\nAnswer: -17*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 212172512?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-2120)\/(-680) - 16\/136 - 10\/(-4).\nAnswer: 11\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7120 = 5*v + s, 5*v = -3*s + 5550 + 1570. What is the tens digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0 + -55 + 344 + -290.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 21251 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 447*d - 514 = -1408 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, -4, -0.171, 2\/11, 1\/7, -3 in increasing order.\nAnswer: -5, -4, -3, -0.171, 1\/7, 2\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 979670?\nAnswer: 2, 5, 97967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0 or 458\/5292021?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -2 - 4c?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 4419313 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 28130 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5263*n = -5264*n - m - 3, -n = -3*m - 13. Which is greater: 8972 or n?\nAnswer: 8972","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: 130.875 * 0.1\nAnswer: 13.0875","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 152*p**3 - 61*p**3 - 75*p**3.\nAnswer: 16*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 17783 - 3490. Suppose -l + 48381 = -4*p. Let z = p - -30122. Round z to the nearest 1000.\nAnswer: 22000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-10912)\/(-20) + 2\/5. Let i be c\/27 - 4\/18. Let a = i - 10. Calculate the remainder when 28 is divided by a.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 4*d**4 - 6*d**5 - d - 4*d**4 + (d**3 + d**3 + d**3)*(d**2 + 5*d**2 + 0*d**2).\nAnswer: 12*d**5 - d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 122386*c - 4*c**2 - 122386*c.\nAnswer: -4*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Express (w + 0*w + w)*(2*w - 4*w + 5*w)*(0*w + 4*w + 0*w) + 6*w + 7*w - w**3 - 15*w in the form x + u*w**2 + b*w**3 + y*w and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let y(z) = 41*z**2 - 11*z + 11. Let r(j) be the first derivative of -14*j**3\/3 + 2*j**2 - 4*j + 205. Determine -11*r(t) - 4*y(t).\nAnswer: -10*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*l - 0*m + 3*m - 24, -5*l = -3*m - 40. Suppose -l*o = -1686 - 162. Does 46 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2 in -2\/5, -2\/707, 3, -1\/2, 38.1?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 324904*r**3 + 2*r + 629878 wrt r.\nAnswer: 974712*r**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 1 + 5. Let p(m) = -7*m - 22. Let v be p(-3). Let w be (-4 - -3)*v - -2. Solve -w*f + z = -f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 143560 - 143560 + 2*m.\nAnswer: 2*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -194551, -194524, -194497?\nAnswer: -194470","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-734)\/508*(-126)\/(-19251). Let z = m + 3\/713. Which is smaller: z or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((s**(-1\/3))**39)**31*(((s\/s**(-1))\/s)\/s**(-4))\/(s*(s*(s*s**(-2\/3)\/s)\/s)\/s)**(-49) assuming s is positive.\nAnswer: s**(-1292\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 193962 divided by -6?\nAnswer: -32327","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:57 AM and 4:08 AM?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (2\/(-5))\/((-5)\/(-25)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*l + q = -12, 4*l + q - 6 = -q. Let u(z) = 5 - 5 - 3*z**2 + 7*z**l - z + 1 + 1. What is the units digit of u(2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.1?  (a) -3  (b) -19\/5  (c) -0.1  (d) -22  (e) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: 80\/96*3\/20*-2\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: 3 + (-3 - (0 - 0))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 107 + -53 - (-13 - -3 - 2)?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*i - 2*o + 16 = 0, 4*i - o = 7 - 3. Let y(m) = -2*m**3 + m - 4. Determine y(i).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(j) = -4*j + j + 3*j - 2*j. Let d(m) be the third derivative of 0*m**4 - 18*m**2 + 0 + 1\/60*m**5 + 0*m**3 + 0*m. Determine c(d(f)).\nAnswer: -2*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 29 + -17. What is the smallest common multiple of ((-81)\/6)\/3*8\/(-3) and p?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((s\/(s**(-2)\/s))\/s)\/s**(-3\/4)*s*s\/(s**(-5)*s)*s*s**(-3\/2)*s**(-2\/5)\/(s*s**(2\/9))*((s**(1\/4)\/s)\/s)**4 assuming s is positive.\nAnswer: s**(113\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -24 + 14 + -3 - -1?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*u + 193 - 185 = 0. Suppose -111 = -u*y + 5*r, -2*y + r + 83 + 40 = 0. Calculate the highest common factor of 7 and y.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: -32 divided by -8\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -45 + 53. Suppose z = -0*i + 4*i. Suppose 3*d - 6 = 0, d = f - 2*f + 7. Solve i*x = w, 3*x + 18 = -f*w + 2*w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 605099 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: (1 - (-7 - -1)) + -8 + 6\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 791?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 1343 and 10778.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 6 and 7206114?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 922 is divided by 18?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -1101 - -3?\nAnswer: -1032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let a(v) = 2325*v + 1181098. Calculate a(-508).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*z + 5*r - 2 = 6*r, 3*r - 7 = -4*z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 451209 to the power of 1\/2, to the nearest integer?\nAnswer: 672","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Convert 101121101110200 (base 3) to base 2.\nAnswer: 10101100000001101101010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) 1\/82  (b) -3  (c) 0.2  (d) -0.61  (e) 0  (f) -24.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence bhhi when four letters picked without replacement from {i: 3, b: 4, v: 5, h: 4}?\nAnswer: 3\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence rxx when three letters picked without replacement from {x: 8, r: 5}.\nAnswer: 70\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let g(d) = -2*d**2 + 202*d. Let o(p) = -8727*p**2. Calculate g(o(k)).\nAnswer: -152321058*k**4 - 1762854*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-25*1\/4)\/((-7)\/280). Let x = 452 + -352. Calculate the greatest common divisor of x and r.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 11 (base 9) in base 4?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*j + 140 = 5*y, 35 - 105 = -2*y + 4*j. What is the remainder when 40 is divided by y?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is ((-2)\/(-6))\/((-6)\/(-14562)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1.24042 less than -1248810590?\nAnswer: -1248810588.75958","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -12\/816416485 - 309153255772016119\/14695496730. Let n = 21048134 + d. Let u = n - 10852. Find the common denominator of 125\/6 and u.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 3\/1339, 3, -115?\nAnswer: -115","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(3800) - (sqrt(3800) + (sqrt(3800) - (sqrt(3800) - (sqrt(3800) + sqrt(3800)*-1)))))\/(sqrt(72)*1))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2 = 3*g - 2 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 161 - 126. Suppose 45*r - q*r = 0. Suppose 3*d - 8 = s + 1, -6 = -2*d + 4*s. Solve r = d*v + 8 + 1 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 221\/3 - 73. Is 65\/3 <= y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose a - 1 = -10. Let u(m) = -6*m - 7. Let o(q) = -q**2 - 9*q - 22. Let b be o(-5). Let w be u(b). Put w, a, 2 in decreasing order.\nAnswer: w, 2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -m - g + 188, 5*m + g - 6*g - 980 = 0. Calculate the highest common factor of 672 and m.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -963 + 1323 = -30*g for g.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 27761 is divided by 2428.\nAnswer: 1053","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2 - 2 - g + (-3 + 0 + 2)*(-g + 0*g - g) + 27*g - 13*g + 12*g + 4 + g - 4 - g + 2*g - 2*g + (-5*g - 2*g + 5*g)*(1 - 2 - 1) + (-2 + 0 + 6)*(-g - 1 + 1).\nAnswer: 27*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let z(q) = -848*q**2. Let u(o) = 85*o**2. Determine u(z(c)).\nAnswer: 61123840*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -5  (b) -0.2  (c) 99437.07  (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -4 - 27*n + 10*n**3 - 8*n**3 + 4 to the form z*n**2 + v*n**3 + t*n + x and give t.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 143291 - 118931561\/830. Find the common denominator of 41\/332 and z.\nAnswer: 1660","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify q**(-1\/23)\/(q*q**(4\/17)) assuming q is positive.\nAnswer: q**(-500\/391)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 26 - 20. What is the units digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -367 - -369. Suppose k*d + 5*w - 9*w = -54220, 3*d + 2*w + 81290 = 0. What is d rounded to the nearest one thousand?\nAnswer: -27000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 7609*t**6 - 31*t**4 - t**3 - 602*t**2 + 133*t - 1 wrt t?\nAnswer: 913080*t**3 - 744*t - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (19*y**4 - 14*y**4 - 28*y**4)*(0 + y + 0) + (-5*y**2 + y**2 + 3*y**2)*(4*y + y**3 - 4*y) + 2 - y**5 - 2.\nAnswer: -25*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -23*g + 11745 + 11531. Let x = g + -1016. Let j = 0.3 + -3.7. What is the second smallest value in j, x, -1?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -576 or -575?\nAnswer: -576","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -5  (b) 0.3  (c) -2.11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 9\/2?  (a) -0.2  (b) -100  (c) 2\/3  (d) -4  (e) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in thirty-two fifths of a litre?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: 17 + 57 - 60 - (-1 - -9)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -175 divided by 175?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let h(i) = i**2 + 36*i + 208. What is h(-7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*h = -0*w + 3*w + 42, w = h - 16. Is -20 at least w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(v) = -6*v + 6. What is the tens digit of y(-5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 78106984?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*w + 17*c - 14*c = -15, -5*w = -4*c + 7 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -21\/24867440 and -41\/13390160.\nAnswer: 174072080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 4114 (base 8) in base 4?\nAnswer: 201030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1218544.\nAnswer: 2, 76159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((4 + (-1*sqrt(245) - sqrt(245)) + sqrt(245) + sqrt(245))**2 + 2 - (-6*(sqrt(245) + -4*sqrt(245)*-1))**2) + -2.\nAnswer: -220484","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let g(h) = 3*h - 6. Let w be g(4). Let i(z) = z**2 - z - 9. What is the units digit of i(w)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(k) = -3*k + 1. Let x(c) = 2*c - 1. Let t(o) = 3*p(o) + 5*x(o). Let v be t(4). Suppose v*h - 10 = 14. Solve -h = -3*a - 3 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 25129824 and 804?\nAnswer: 804","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((i**(2\/15)*i)\/i)\/i**(-2\/3) assuming i is positive.\nAnswer: i**(4\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1524976996?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*g = -v + 6*v - 50, 0 = -2*v - 2*g. Put v, 3\/2, -0.1 in increasing order.\nAnswer: -0.1, 3\/2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -166*w - 1336 = 280 + 542 for w.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 183480 and 163186.\nAnswer: 107702760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -30 + 49. Suppose 4*s = 9 + c. What is the units digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(p) = p**3 + 8*p**2 + 8*p + 4. Let q be j(-7). Is (-1942)\/q + (-3)\/9 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -22729.9 + -0.2?\nAnswer: -22730.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in 892.3316km?\nAnswer: 892331600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 1255 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (3 + 1 - (9 - 6)) + -5?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 3\/(4*(-9)\/(-24)). Suppose -x + p*h = -13, -24 = -3*x - 2*h + 5*h. Let i be x\/5 + (-12)\/20. Solve i*d = d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-1008)\/(-19152))\/(1\/(-12)).\nAnswer: -12\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 49 a factor of 5878089?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in thirty-seven halves of a litre?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s(t) = t**2 - 12*t + 12. What is s(8)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -286 + 10008\/35. Which is the closest to w?  (a) -4\/5  (b) 4  (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -1.4 + 1. Let o = -14 + 13.98. Let y = o + 0.52. What is the third smallest value in -3, c, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1.5 times 0.184074?\nAnswer: -0.276111","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let g be ((-40)\/3)\/(7\/21). Let d be 6\/8 + 22\/g. Which is the smallest value?  (a) 2\/7  (b) d  (c) -11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*t - 1 = -10. Suppose 0 = -t*v - 4*v + 10367. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2068990 to the power of 1\/2, to the nearest integer?\nAnswer: 1438","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 2\/9, 2\/7, -0.3, -4, -12?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -0.23 - -18.23. Let b = 26 - j. Put -3\/5, 0.1, b in ascending order.\nAnswer: -3\/5, 0.1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 483919657 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -12*d**3*g*y - 2*d**3 - 3207893*d**2*g - d*g*y + 1600*d*g - 28*d*y + 15 wrt d.\nAnswer: -72*d*g*y - 12*d - 6415786*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let s(b) = 20*b**2 - 1. What is s(1)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: (-6)\/(3\/((-24)\/(-80)))\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 4481818986?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 7.2 - 7. Let c = p + -0.5. Let b be ((-6)\/(-36))\/((-4)\/18). What is the nearest to 0 in b, c, -1?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -2*b*i + 76*b + 4663382*i + 435 wrt i.\nAnswer: -2*b + 4663382","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"}
{"text":"Question: Let o(l) = -101*l - 1992. What is the lowest common multiple of 196 and o(-20)?\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 0.05645, -3\/2, -4?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: -101543213 (base 6) to base 13\nAnswer: -4a018a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3*(-1*sqrt(20)*-3)\/sqrt(4) + (-3*(0 + (sqrt(80) - 2*sqrt(80)) + sqrt(80)))**2 + -3.\nAnswer: -3 + 9*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -4 + 43?\nAnswer: 3a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 36650*c*i**4 - 593*c*i**2 + 16*c + 394590 with respect to i.\nAnswer: 146600*c*i**3 - 1186*c*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 6729.\nAnswer: 3, 2243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 3.76 - 19.86. Let f = 9.1 + r. Which is bigger: f or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = c - 3*v - 4217, -4*c + 8*c - v = 16890. What are the prime factors of c?\nAnswer: 41, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 360565.\nAnswer: 5, 37, 1949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 15290 is divided by 7639.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 27 and 864.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -19*g - 9 - 1 = -15*g + 3*l, -13*g = -2*l - 38 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 111393 and 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -46 = 2*l + 22. Let r = 69\/2 + l. Factor 1\/2*a**5 + 2*a**2 + r*a + 3*a**3 + 2*a**4 + 0.\nAnswer: a*(a + 1)**4\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.4 in -0.4, 2390, 0.3, 5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -17*d**2 + 408*d**3 + 142*d + 147*d - 435*d + 145*d wrt d?\nAnswer: 2448","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 7255.\nAnswer: 5, 1451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -682, -1371, -2060, -2749, -3438, -4127?\n\"Answer: -689*s + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d\/d**9)**(-27)\/(d**(-3\/4)*d)**50 assuming d is positive.\nAnswer: d**(407\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 121 (base 3) in base 12?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 41, 51, 61?\nAnswer: 71","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 277706 and 4998708?\nAnswer: 4998708","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -35 - -365?\nAnswer: 330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -27*x - 2*x**3 + 2*x**3 - 38*x**3 wrt x.\nAnswer: -228*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {h: 1, l: 1, f: 4, a: 1, u: 1}. Give prob of picking 1 u and 1 h.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 187 and 2924.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let x(d) = d**2 + 4*d - 9. Let m be x(-9). Let s = 13 - 6. Suppose -s*r + m = -4*r. What is the lowest common multiple of 20 and r?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -103\/4360 and -55\/3052?\nAnswer: 30520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 10436?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 116 + -137. Let k = z + -145. Is -166 less than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 548.\nAnswer: 2, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-2*sqrt(19) + -1)*1)**2*-6.\nAnswer: -462 - 24*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let r(o) be the third derivative of o**6\/120 - o**5\/60 - o**4\/24 - 3*o**3\/2 - 17*o**2. Let i(b) = -b. Let h be i(0). Determine r(h).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11*b - 23*b + 5562 = 69*b. Calculate the remainder when 599 is divided by b.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-81)\/(-8) - (15\/5)\/24.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -4.2 + 7.2. Let p = r + -2.999869. Round p to five decimal places.\nAnswer: 0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(38)\/sqrt(2))**2*2*1 + 0 - (sqrt(95)\/sqrt(5) + 2 + (sqrt(171)\/(sqrt(45)\/sqrt(5)))**2).\nAnswer: -sqrt(19) + 17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 11*t = i + 37, t + i - 3*i - 11 = 0 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 4912, 9814, 14716?\nAnswer: 19618","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(153) + (2*sqrt(153) + sqrt(153))*-5)*-2)\/(3*-5*sqrt(144)))**2.\nAnswer: 833\/225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let 1\/2*i - 7\/2*i**2 - 1\/2*i**3 + 3 + 1\/2*i**4 = 0. Calculate i.\nAnswer: -2, -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(a) = -4*a**2 + 38*a. Let n be l(9). Let j(v) = -19*v - 5. Let b be j(-5). Calculate the highest common divisor of b and n.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1233*h = -1208*h. Solve y + 6 = q, -5*q - 2*y + 44 - 28 = h for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 32275 divided by -5\nAnswer: -6455","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -10.1726 - -9.088. What is z rounded to 1 decimal place?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(u) = -u**3 - 6*u**2 + 22*u + 101. Let c be a(-3). Suppose 0*r - 12 = -3*r. Suppose 4 - 7 = -m. Solve -i + h - 8 = -m*h, -i + c = r*h for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1233?\nAnswer: 3, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2 - 2 + 21*u**2 - 7*u**2.\nAnswer: 14*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Round -4110000 to the nearest one hundred thousand.\nAnswer: -4100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 31*h**6 + 309*h**6 + 965*h**2 - 530*h**2 + 509*h**6 + 871*h**2 wrt h?\nAnswer: 101880*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 2441268 and 3672.\nAnswer: 14647608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let x(i) = 2*i**3 + 29*i**2 + 4*i - 127. Calculate x(-14).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(99) + (sqrt(99) - (sqrt(99) + (sqrt(99) - (sqrt(99) - sqrt(99)*-1*1)))))\/(-4*sqrt(36)))**2.\nAnswer: 11\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let z(n) = 24*n**2 - 23*n - 46. What is z(-2)?\nAnswer: 96","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 4 g when four letters picked without replacement from ggggggg?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let b(w) = 2*w**2 - 3*w - 3. Let y(v) = -3*v**2 + 4*v + 4 + 1 - 1. Let a(f) = -4*b(f) - 3*y(f). Let l(p) be the first derivative of 2*p**2 + 28. Give a(l(o)).\nAnswer: 16*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Convert -2ab6 (base 15) to base 13.\nAnswer: -4236","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2233*n**2 + 117 + 112 - 340 - 2225*n**2 + 113 + 4448*n**2.\nAnswer: -10*n**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.2 in -6, -5, 13, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let z(d) = -110351714*d**2. Let t(p) = -2*p. Calculate z(t(u)).\nAnswer: -441406856*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let u(q) = -88*q**2. Let z(v) = -v**2. Determine 4*u(l) - 288*z(l).\nAnswer: -64*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 131 + -130.99. What is the biggest value in -1\/5, v, 1, -0.7?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -11 + 13. Suppose z*r = -0*r + 6. Factor 1 + 18*a**3 - 17*a**3 + 0*a + 3*a + r*a**2.\nAnswer: (a + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -14 + (8 - 13) + 28.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -8.3, -11\/3, -0.5?\nAnswer: -11\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 36 - -4?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 + 3*h**3 - 1)*(-2*h - 2*h - 5*h)*(1 + 2 - 4).\nAnswer: 27*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -87cc + 177?\nAnswer: -8655","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 2801612?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 454 - 418. Let f = -35.8 + b. What is the second smallest value in -0.02, -5\/3, f?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence bmie when four letters picked without replacement from {e: 3, m: 1, b: 2, i: 1}.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -3 and -2418325?\nAnswer: 7254975","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -339 - -825. Suppose 0 = -174*b + 172*b + q. What is the tens digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 133702311 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 978 is divided by 184.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let c(i) = -i + 2. Let l be c(-2). Suppose g - 3*t = 4*g + 9, 5*t = -3*g - 15. Suppose 2*k = 3*y + 23 - 60, 2*k + l = g. Is y a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4*sqrt(48)\/sqrt(6))\/sqrt(4) + -1*(sqrt(600)\/sqrt(12))**2.\nAnswer: -50 + 4*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -12*m = -m + 33 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -1665, -1670, -1675, -1680?\n\"Answer: -5*b - 1660","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: -4 divided by 1659\nAnswer: -4\/1659","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is seven sixths of a minute in milliseconds?\nAnswer: 70000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2.2, 5\/3, 2\/3 in decreasing order.\nAnswer: 2.2, 5\/3, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -273132 divided by 5058.\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -h - 2*k + 25 - 16, -5*h - 3*k + 17 = 0. Which is the second biggest value?  (a) -0.8  (b) h  (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 870018 = 870034?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -142 - -270. Suppose 0 = d + d + n. Let w = d - -323\/5. Does 2 = w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -3747197, -7494395, -11241593, -14988791, -18735989, -22483187?\nAnswer: -26230385","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 17165459 not equal to 17165462?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 0.893 + -0.453. Round b to two decimal places.\nAnswer: 0.44","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.1?  (a) 1\/4  (b) 3  (c) 17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence yc when two letters picked without replacement from {y: 14, c: 4}.\nAnswer: 28\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let k(c) = -c**2 - 7*c - 3. Let u(n) = -3*n - 1. Suppose -48 = -8*a + 8. What is a*u(o) - 3*k(o)?\nAnswer: 3*o**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let i(r) = -r**3 - 2*r**2 - 3*r - 4. Let c be i(-4). Let v be c\/3 + 2\/(-6). What is the greatest common factor of 143 and v?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -3*s + 4 - 4 + (0*s + 3*s - 4*s)*(-30 - 17 + 5) - 2*s + 2*s - s + (4 - s - 4)*(-1 + 1 - 2).\nAnswer: 40*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -10632881 + -81.\nAnswer: -10632962","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 2104 or 2103?\nAnswer: 2104","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let x(w) = 4*w - 5. Let m(u) = -1. Let j(o) = o**3 - 7*o**2 + 15. Let a be j(7). Let y(s) = a*m(s) - 3*x(s). Let g(p) = 5*p**2. Determine g(y(z)).\nAnswer: 720*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Does 62 divide 271298546?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let j(b) = b**3 - 14*b**2 + 16*b + 5. Let p be j(13). Calculate the highest common divisor of 11 and p.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 5314 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let n(o) = -3*o**3 - 22*o**2 - 6*o + 8. Let k be n(-7). Is 1\/148 bigger than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1211 (base 3) in base 7?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o(m) be the second derivative of -43*m**3\/6 - 16*m - 5. Let y(s) = 6*s**2. What is o(y(x))?\nAnswer: -258*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 304 and 66755740?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 13 = 4*h - 27. Let y be (-93)\/(-5) + 4\/h. Let p be (-2 + 4)*(7 + 69). Calculate the greatest common factor of p and y.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 135 and 360.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -1\/5, 1\/5, -1602.02, -8\/7?\nAnswer: -1602.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 9612.649 milligrams in nanograms?\nAnswer: 9612649000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k(s) = s - 1. Let q be k(6). Suppose x = q*x - 32. Suppose 0 + x = 4*r. Calculate the lowest common multiple of 4 and r.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -28877, -28863, -28849, -28835, -28821, -28807?\nAnswer: -28793","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the sixth biggest value?  (a) 0.3  (b) 4  (c) 84  (d) 2  (e) 2\/5  (f) -36672  (g) -2\/5\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 0.7, 0.4, 4, -3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let x be ((-13236)\/(-8))\/(2\/36). Let n = x - 17581. Round n to the nearest 1000.\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1?  (a) -17\/220  (b) -2\/15  (c) -54\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 k and 2 e when three letters picked without replacement from {k: 2, e: 11}.\nAnswer: 5\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 22278 and 1410?\nAnswer: 282","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let w(c) = 609*c + 453. Let r(s) = -2436*s - 1812. Let x(i) = 2*r(i) + 9*w(i). Differentiate x(y) with respect to y.\nAnswer: 609","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1989145 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let q(f) = f**2 - 11*f + 2*f**2 - 609 + 619. Let k be q(1). Which is the nearest to k?  (a) 0.9  (b) -2\/13  (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -n**2 + 46 - 15*n - 44 + 3*n**3 + 19*n as v*n**3 + m*n**2 + q + a*n and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*v - 13*v + 14*v - 2*v.\nAnswer: -3*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 707263 to the nearest integer?\nAnswer: 841","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Product of 11 and -7.7.\nAnswer: -84.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1172191 is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Express (0 + 0 - 1)*(-1 + 1 - o) + 301 + 12*o - 301 + 4*o + o - 3*o + (2 + 4 - 5)*(-4*o + 4*o - o) in the form d + f*o and give f.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 363 = f - 4*l, 5*f - l - 1751 = 3*l. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 j and 1 z when three letters picked without replacement from zrjrjjrjjrjrz?\nAnswer: 15\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is (-30)\/(-372)*8*(1\/1)\/((-36)\/(-18))?\nAnswer: 10\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-1)\/1 + 351\/3 + 4. Suppose -59*q + 57*q = u. Is q\/(-18) + (-3)\/9 + 728 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 f, 1 g, and 1 a when three letters picked without replacement from {a: 1, f: 3, c: 5, s: 1, r: 6, g: 4}?\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.184055 and 0.07?\nAnswer: 0.01288385","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 1.8 - 13.8. Let v = w + 11.999991. What is v rounded to five dps?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 4 k when four letters picked without replacement from {k: 5}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 164*y + 264*y - 43964 - 454 = -245*y for y.\nAnswer: 66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 22*x - 29 = 21*x + 7*m, -x = 3*m + 11 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {h: 7, c: 6}. What is prob of picking 2 h?\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((v\/(v\/(v*v**39\/v)))\/(v\/(v\/(v*v\/(v*v\/(v*v**22)))))*(v\/v**11)**45)**(4\/33) assuming v is positive.\nAnswer: v**(-1736\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -114*h**2*k**2*s*z**2 - 71*h**2*s*z**2 - 2*h*k*s*z - 118*h*s*z**2 + 21*k**2*s*z - s wrt h?\nAnswer: -228*k**2*s*z**2 - 142*s*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 69 - 27. Suppose -98 = -4*z + 14. Calculate the greatest common factor of z and o.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 (base 15) in base 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:34 PM and 7:01 PM?\nAnswer: 327","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 11773, 11774, 11775?\n\"Answer: g + 11772","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:32 AM and 10:44 AM?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0 in -6, 78.19, 1, 3, -3\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Convert 185404 (base 16) to base 8.\nAnswer: 6052004","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n(q) = -26*q + 6. Let u(v) = -17*v + 4. What is -5*n(t) + 8*u(t)?\nAnswer: -6*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2*(3*(-6*(sqrt(500) + 1*sqrt(500)))**2 + -5).\nAnswer: 431990","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 785196 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 3 + 334987a?\nAnswer: 3349882","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 153463537 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 491 minutes before 9:04 PM?\nAnswer: 12:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 436342 and 6?\nAnswer: 1309026","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 p and 2 s when four letters picked without replacement from {s: 6, p: 7}?\nAnswer: 63\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -2.94 - 0.06. Let w = h + 3.0015. Round w to three decimal places.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1 in 0.15, 0.5, -1\/12, 1, -0.06?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let d(g) = 3*g**2 + 8*g - 5. Let n be d(-4). Suppose -w - n = -16. Which is the smallest value?  (a) 2\/5  (b) w  (c) 1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:26 PM and 12:15 AM?\nAnswer: 289","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 57 + -51. Let a(i) = i**3 - 5*i**2 - 8*i + 11. Let u be a(z). Do u and 2\/177 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 7441 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {n: 2, v: 7}. Give prob of sequence nn.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 58656657?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"}
{"text":"Question: Let x(y) = 19*y**2 + 1. Let s be x(-1). Suppose -j = -0*j - 0*j. Suppose j*q = -2*q - q. Put s, -4, -3, q in decreasing order.\nAnswer: s, q, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(q) = 29*q**2 + 825*q - 230. Calculate i(-29).\nAnswer: 234","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -14  (b) 24289  (c) 1.39\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 592 minutes after 3:19 PM?\nAnswer: 1:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 12418 - 18256. Let y = 3894 + v. Let q = -479 - y. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.002328058 rounded to 6 dps?\nAnswer: 0.002328","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: (110\/176*108)\/((-135)\/(-30))\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 874 + 10?\nAnswer: 884","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let k(f) = 3*f**2 + 45*f + 42. Calculate k(-14).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let x(t) = -t**2 - t + 1. Let c be (-1)\/(-4 - (-4 + 1)). Let b(y) = -5*y**2 + 3. Calculate c*x(q) - b(q).\nAnswer: 4*q**2 - q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 47*n - 43*n - 68. Let u(s) = -49*s**3 + 3*s**2 + 2 + n*s**3 + 3*s + 16*s**3 + 17*s**3 - s. What is u(-4)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.1 in 10, 13\/8, 0.4, 2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -39 - -7.7. What is v rounded to the nearest integer?\nAnswer: -31","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2\/107 in -79, 4, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 10 - 5. Suppose 1071 = 4*p + s*a, p + a - 279 = 2*a. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(p) = 4*p - 4*p**2 + 0*p**2 - p**2. Let z(u) = 6*u**2 - 5*u. Give -3*v(s) - 2*z(s).\nAnswer: 3*s**2 - 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -l + 9 - 7. Suppose n = l*n - 16. Let q be (24\/n)\/((-54)\/(-40)). Which is greater: q or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u**(-1\/5)*u*u*u**(2\/9)\/u)**(-12) assuming u is positive.\nAnswer: u**(-184\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -c + 4b62711?\nAnswer: 4b62702","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 6585 in -0.1, -4, -5, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:20 PM and 2:32 PM?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*i**2\/3 + 90352*i\/3 + 90346.\nAnswer: 2*(i + 3)*(i + 45173)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 5 - (29 - (16 + -35 + 7)).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.7136089*-1.\nAnswer: -0.7136089","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 j and 1 c when two letters picked without replacement from {c: 1, f: 1, j: 3}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 508 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is ((-34)\/(-4))\/((-7)\/(-406)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.000121789234 to 5 decimal places.\nAnswer: 0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence pf when two letters picked without replacement from {f: 8, p: 5}?\nAnswer: 10\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from jlj. Give prob of sequence jj.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*j + 36 = 18. What is the second derivative of 18*f + 33 - 2*f**2 + j*f**2 + 5*f**5 - 16*f wrt f?\nAnswer: 100*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find d, given that d**3 - 11*d**2 - 80*d + 900 = 0.\nAnswer: -9, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2\/5 in -0.3, -41, 0?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -12916356 divided by 26.\nAnswer: -6458178\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let b(v) = -v**3 + 23*v**2 - 46*v + 10. What is b(2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 10478 to the nearest integer?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 g, 1 d, and 1 n when three letters picked without replacement from {z: 1, g: 2, n: 1, d: 1, m: 1, k: 1}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 7\/8 of a litre in millilitres?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -17 - -11. Let o be (-6)\/(-10) + 51\/(-255). Which is the smallest value?  (a) o  (b) i  (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-6 - 3 - 0) + 7 + -4 + 23?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*s - 2*s. Suppose -3*o = -s*o - 4*k + 37500020, 24999990 = -2*o - 2*k. Round o to the nearest 1000000.\nAnswer: -13000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(c) be the first derivative of -265*c**2\/2 - 105. Let b(m) = -17 + 8 + 9 + m. Give b(d(p)).\nAnswer: -265*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-1)\/(3\/(3\/2))*6. Let k(w) = -11*w**2 - 15*w - 6. Let r(n) = n**2 + n. Let x(p) = q*r(p) - k(p). Is x(-6) a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(637) + 2)*-1 + 5*(sqrt(104)*1)\/sqrt(8))**2.\nAnswer: 8*sqrt(13) + 56","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.94061 and -0.5?\nAnswer: -0.470305","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Add 134 and -384.\nAnswer: -250","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 306954 is divided by 26?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 102 (base 4) in base 13?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is ((-5)\/(-3))\/((-95)\/(-5347113)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*y + w = 577, -3*y + 88*w + 852 = 85*w. Calculate the remainder when y is divided by 99.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 149 minutes after 10:03 PM?\nAnswer: 12:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Do -1 and 186\/841 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q**(2\/43)\/((q*q**(7\/4))\/q))\/(q*q\/(q**(-7\/5)\/q*q)*q)**(-1) assuming q is positive.\nAnswer: q**(2319\/860)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 345 - -58. What is the remainder when h is divided by 29?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1 + 1 + (28 - 11 - 17).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -83 + j - j + 2*j.\nAnswer: 2*j - 83","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-9)\/18*12\/(-38). Which is bigger: d or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-20)\/(-50) + (-8)\/(-30). What is the third smallest value in -5, k, -0.4?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 761 is divided by 69.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*f + 15 = -9*f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 c and 1 b when two letters picked without replacement from pcwmbwt.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of -5 + (-28)\/(-5) + 3914\/10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose l - 4*u + 14 = u, 5*l = -u + 34. Suppose 0 = -w + 2*w - 5. Is l greater than or equal to w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: 144\/(-768) + (-816)\/(-256) - (30 - 1)\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -4 + 1592?\nAnswer: 1589","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -3b994 + 37cb?\nAnswer: -38196","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand 18*g**3 + 4*g**3 + 5*g**3 + (2*g + 1 - 1)*(35*g + 14*g**2 - 35*g).\nAnswer: 55*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -5 and 10553581?\nAnswer: -52767905","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 48\/22 + -2 - 48\/22.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (4564 + 108)\/(2\/(-500)). What is m rounded to the nearest one hundred thousand?\nAnswer: -1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 - 1 + 6)*(6*u**3 + 4*u**2 - 4*u**2)*(423 - 737 + 502).\nAnswer: 6768*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let i(y) = -y**3 - 3*y**2 - y. Let a be i(-3). Suppose a*k - 96 = -k. What are the prime factors of k?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(i) = i**4 + 7*i**3 - i**2 + 3*i. Let f(t) = -t**4 - 8*t**3 + t**2 - 4*t. Let r(j) = -6*c(j) - 5*f(j). Solve r(o) = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence uuwz when four letters picked without replacement from lwvzllzzlzvuzulzzvkk.\nAnswer: 7\/58140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -8889 + 2966 + 2970 + 2953 + 3*w - 4*w.\nAnswer: -w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: (1\/(-342))\/(3645\/(-87480))\nAnswer: 4\/57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(k) = -7 + k - 3 + 1. Let g be p(11). What is the first derivative of -g*m**3 + m**3 - 2 + 0 - 2*m**3 wrt m?\nAnswer: -9*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -48.8, 0, -8, -1\/5 in decreasing order.\nAnswer: 0, -1\/5, -8, -48.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let m(d) = -d - 10. Let j(k) = -2*k - 21. Let u(q) = -3*j(q) + 5*m(q). Let x be u(-6). Suppose -29 + 53 = 3*s. Are x and s equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 41425*g**2 + 7*g - 23?\nAnswer: 82850","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 50719727 to the nearest integer?\nAnswer: 370","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*z**4 - 1 + 12*z**2 + 16*z - 11 - 6 + 2 - 16*z**3.\nAnswer: 4*(z - 2)**2*(z - 1)*(z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*i**5\/5 + 38*i**4 + 148*i**3 + 220*i**2 + 146*i + 182\/5.\nAnswer: 2*(i + 1)**4*(i + 91)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2760423.\nAnswer: 3, 29, 31729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Express -r**3 - r**2 - r**4 + 0*r**3 - r**3 in the form m*r**3 + a*r + p*r**4 + y*r**2 + k and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 80?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {s: 3, d: 7, y: 2, q: 1, l: 1}. What is prob of sequence ydd?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 2\/(-5) + 142\/213 + (-474)\/90.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 3\/6 + (-1 - 75\/(-70)). Let w = 19 - 17. What is the nearest to -0.2 in w, -5, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*r = 2*b - b + 18, 2*b - 20 = -4*r for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -13 = 3*y + 99*u - 97*u, 4*y + 3*u + 19 = 0 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -3, -5, -1, 3, 1?\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*n - 69 = 4*y, n - 23 = 4*y + 8. Suppose -4*m + 3*m = -4*p + n, -p + 5*m = 19. Solve 3*l - p = 5*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 16 - ((-24 - -87) + -1)?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in 4.376602ug?\nAnswer: 4376.602","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 1256 and 18212?\nAnswer: 36424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (2 - 6) + (-24)\/(-1). Suppose 5*r - 45 = 85. What is the remainder when ((-120)\/16)\/((-3)\/t) is divided by r?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 164460 + -164454. Factor -14\/5*a**3 + 36\/5*a**2 - b*a + 8\/5.\nAnswer: -2*(a - 1)**2*(7*a - 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(r) = -r**2 + 33*r + 21. Let h be z(27). Suppose -10 = -2*v, 178*v = -5*t + h*v. Which is the fourth smallest value?  (a) t  (b) 14  (c) 1\/3  (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(a) = -a**2 - 3*a + 2. Let z be y(-2). Suppose 0*l + 2*x = -z*l + 28, 2*x - 21 = -3*l. List the prime factors of l.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 6691541394 to the power of 1\/2, to the nearest integer?\nAnswer: 81802","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 226 + -227. Let l = 124429\/20566 - 729\/113. Let o = l + 3\/26. What is the third smallest value in a, o, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from qllqlllqqlqqlq. Give prob of picking 2 l.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:05 AM and 6:22 AM?\nAnswer: 317","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 3  (b) 177  (c) -1  (d) 12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 714228?\nAnswer: 2, 3, 53, 1123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -2 - -3. Let k = 446.5 - 252. Let w = 195 - k. Put o, w, 4 in descending order.\nAnswer: 4, o, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2312049 a multiple of 58?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*t + 2 = -8, -5*k + 2*t = -386. Factor k - 78 + 12*y**3 - 4*y**4 - 8*y**2.\nAnswer: -4*y**2*(y - 2)*(y - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is n in -4*n**3 + 8*n**2 + 36*n - 72 = 0?\nAnswer: -3, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -14, -18, -18, -8, 18, 66?\n\"Answer: g**3 - 4*g**2 + g - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand 11*o**4 + 10*o**4 - 27*o**4 + 1 - o**4 - 1 + 4*o**3 + 2*o**4 - 4*o**3 + (-o**3 + 2*o**3 - 2*o**3)*(-3*o + 4*o - 3*o).\nAnswer: -3*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let x(p) = -p**3 + 8*p**2 + 31*p + 23. Let k be x(11). Does k = -1\/112?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is seventy-four fifths of a milligram in micrograms?\nAnswer: 14800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 44\/6 + (-4)\/(-6). Let j be (((-6)\/(-2))\/12)\/((-3)\/(-228)). Let t be 3 + j + 0 + -2. What is the greatest common factor of t and s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 10149579, 10149541, 10149503?\n\"Answer: -38*i + 10149617","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*b - 5*b = -f - 6, f - 4*b + 2 = 0. Suppose -p - 3 = 0, j + 2*p = 5*p + 12. Calculate the remainder when (j\/(-4))\/(48\/(-1664)) is divided by f.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-6)\/(-4)*5\/((-1155)\/(-28))?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i(p) be the third derivative of -11*p**6\/24 - 13*p**3\/2 - p**2 - 17. Differentiate i(x) with respect to x.\nAnswer: -165*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 34 a factor of 1156?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*c - i = 3, -47*c + 45*c - 4*i - 12 = 0. Suppose 6\/5*j**3 + c*j + 0 - 8\/5*j**2 + 2\/5*j**4 = 0. What is j?\nAnswer: -4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 440, 447, 456, 467, 480, 495, 512?\n\"Answer: q**2 + 4*q + 435","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -2381053 - -4?\nAnswer: -2381048","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 65 + -60. Sort -23, n, -3.\nAnswer: -23, -3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 75748 to the power of 1\/2, to the nearest integer?\nAnswer: 275","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let g(j) = 3*j**2 - 16*j + 16. Let s be (50\/(-4))\/(5\/(-5 + -5)). What is the hundreds digit of g(s)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 4865.6194 to the nearest integer.\nAnswer: 4866","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let n be -1 + 0 + 2 + 1. Suppose 2*v - 16 = -4*c - 0*v, 16 = 4*c - n*v. Let j be (-3)\/(-3*1\/c). What is the second biggest value in 2\/9, -0.2, j?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.2?  (a) -712  (b) -3  (c) -2\/5  (d) 3\/11  (e) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let i(p) = 2*p**2 + 11*p - 16. Let j be i(8). Suppose -4*q + 7*w + j = 2*w, 5*q - 4*w = 250. What is the remainder when q is divided by 14?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 437 and 1216.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -16 + 18. Suppose 5*u + 15 = 65. Suppose 0 = 5*i - 0*i + u. Which is the biggest value?  (a) 5  (b) i  (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -40 + 31.9. Let y = l - -8. Let b = -1 - -1. What is the biggest value in -3, b, y?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*l - 50 = -365. Suppose -4 = -13*r + l. Solve 6*d = r*d - 15 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 128 a factor of 5982592?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 22388 and 74936.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -137103 divided by -69.\nAnswer: 1987","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Work out -97391 - -1.6.\nAnswer: -97389.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Work out 3.9 + 205.362470833.\nAnswer: 209.262470833","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 364 and 1429106?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*q + 9*d - 5*d = 56, -5*d + 62 = 44085*q - 44082*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: -9 + 2 - ((-31 - -16) + 2) - 32\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in 34\/5 of a week?\nAnswer: 68544","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 614067 to the nearest integer?\nAnswer: 784","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 53\/1358 and 26\/26*(315\/36)\/(-7)?\nAnswer: 2716","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((t\/(t*t\/(t**(-3\/7)\/t)*t))\/t*t**(-2\/11)*(t**(-1))**(-35))**(-2\/53))**8 assuming t is positive.\nAnswer: t**(-37440\/4081)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 23777 to the nearest integer?\nAnswer: 154","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 156 - -10?\nAnswer: 166","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 7.1 - 6.8. Which is the third smallest value?  (a) v  (b) 2.2  (c) -5  (d) -3\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -18 = -4*q + 6. Let k(u) be the third derivative of u**4\/24 + u**3\/6 - u**2. What is the remainder when 13 is divided by k(q)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 p and 1 r when three letters picked without replacement from lllppmrlcpllp.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is -6 at most 20738?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -226?  (a) -2  (b) -3  (c) 0.0338  (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let b(r) be the second derivative of -r**5\/4 - 35*r**4\/6 - 305*r**3\/6 - 210*r**2 + 718*r + 2. Factor b(t).\nAnswer: -5*(t + 3)*(t + 4)*(t + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*o + 3*g = 78, 7*o + 130 = 4*o - 2*g. Let w be (o\/(-28))\/(1\/54*3). Calculate the greatest common factor of w and 135.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in five quarters of a litre?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: (3 - -18 - 2) + 6 + -6 + -6\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -p**6 - p**4*x - 3*p**3*x**2 - 45*p**2*x**2 + x wrt p.\nAnswer: -120*p**3 - 24*p*x - 18*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2127.\nAnswer: 3, 709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2 in 82, 105, 3\/4, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 1233 - 1237. Sort -1\/5, t, 0, 18 in decreasing order.\nAnswer: 18, 0, -1\/5, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 707087 and 275369.\nAnswer: 541","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 39, 205, 543, 1059, 1759, 2649, 3735, 5023?\n\"Answer: a**3 + 80*a**2 - 81*a + 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 30\/(((-8)\/3)\/(-4)). Suppose 49*d - k*d = 16. Let z(q) = q**3 - 5*q**2 + 4*q. Determine z(d).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(o) = -o**3 + 6*o**2 + 14*o - 3. Let i(l) = -l**3 + 6*l**2 + 15*l - 3. Let g(z) = 6*a(z) - 5*i(z). What is the lowest common multiple of g(7) and 4?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 10587268  (b) -0.3  (c) 14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -43*w - 2 + 2*w - 42*w - 5*w.\nAnswer: -88*w - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -383 + 386. Suppose -n = -2*a - 10, -4*n - v*a = -8*n + 20. Solve -2*y - 22 = 3*f, -n*y - 16 = -f + 2*y for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 3 - 66?\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let v(b) be the first derivative of -2*b**3 - 208 - 3*b**3 + 213. Let i(d) be the second derivative of -d**4\/12 + 2*d. Give v(i(j)).\nAnswer: -15*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ddd when three letters picked without replacement from dqbbbddbbbbmbdq?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let q(b) = 16*b + b - 9*b + b - 16. List the prime factors of q(7).\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*f + 5 - 5 = 0 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -86143, -86147, -86151, -86155, -86159, -86163?\nAnswer: -86167","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1\/3?  (a) 35  (b) -1  (c) -3\/52  (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 340322 is divided by 3371.\nAnswer: 3222","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -3\/7  (b) -0.84  (c) -510\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let n(x) = x**2 + 2*x - 31. Let m be n(5). Suppose -m*s + 16997 = 2781. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 4 (base 16) to base 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -c - -60d393?\nAnswer: 60d385","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let q(d) = -5*d. Suppose 4*l = 2*l. Let y(c) = l - c + 0 - 2*c. Give q(y(j)).\nAnswer: 15*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2\/13, 88358, -4\/21, 2\/5, 2 in decreasing order.\nAnswer: 88358, 2, 2\/5, -2\/13, -4\/21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 31769\/32 - 3967\/4. What is the common denominator of k and 61\/8?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 71*w - 16*l + 91 = 66*w, 0*w + 0*w - 70 = 3*w + 2*w + 5*l for w.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -10244\/2365 + -46\/215. Let d = -369937\/33 + 11212. Let u = d - r. What is the common denominator of 18\/5 and u?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -12 + 3 - (-43 - (40 - 84)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 0.1, -1, 0.2367, 1, -4\/11, -3\/7, 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 5 + 0 + 318 + -316 - 44?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 4 + -4.1. Suppose -23*v + 30 = -38*v. What is the nearest to y in -1, 2\/5, v?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -13, -24, -41, -64?\nAnswer: -93","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 4 - (1 + -6 + 6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 586474 to the nearest integer?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let i(u) = -10*u. Let c(z) = -136*z - 376. Give i(c(l)).\nAnswer: 1360*l + 3760","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (5 - 0) + 1 + -4.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Does 25 divide 522375?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*a**5\/3 - 628*a**4\/3 - 28876*a**3\/3 - 329468*a**2\/3 - 931520*a\/3 + 1290496\/3 = 0 for a.\nAnswer: -71, -8, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12*f**3 - 35744*f**2 - 23820*f + 11912 = 0. What is f?\nAnswer: -2978, -1, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let t(d) = 5758*d + 5869*d - 11626*d. Let c(z) = z. Let h(m) = -167*m**2 - 1002*m. Let g(j) = -1002*c(j) - h(j). What is g(t(s))?\nAnswer: 167*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 44 - 44. Suppose p = -3*x - 3*t + 93, -6*x + 2*x = 2*t - 130. Suppose -75 = -a - x. What is the tens digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 35945*i**2 - 35945*i**2 + 22 + 16*i**3 to the form z*i + s*i**3 + b + p*i**2 and give s.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 102 and 4386?\nAnswer: 4386","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: -1 (base 10) to base 9\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 394681?  (a) -5\/4  (b) 1\/3  (c) 0  (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 1444593?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 67428569?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let n(a) = -3*a**2 - 15*a. Let s be 1 - 4 - (2*15)\/(-3). Let y(l) = l**2 + 7*l. What is s*y(u) + 3*n(u)?\nAnswer: -2*u**2 + 4*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let z be ((-63)\/(-252))\/(-1*39). Is z at least as big as -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -68.048 + 68. Let b = 8.952 - h. What is the second biggest value in -0.4, b, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1 or 384\/61825?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 18 + -18.4. Let p = 7 + -7.5. Let n = -14 - -14.1. What is the nearest to n in p, v, -4?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add together 66.12 and 114621532.\nAnswer: 114621598.12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: 10 + (-6 - (7 - 9))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put -2164527, 0.5, 5 in increasing order.\nAnswer: -2164527, 0.5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let l(q) = -23*q - 183. Let a be l(-8). Calculate the highest common factor of a and 13.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(y) = 2*y - 1. Let o be j(2). Suppose 0 = -4*w + o*w + 4. Suppose 0 = 4*n - 12, w*t = n - 2 - 1. Solve t*x + x = -4 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (0*v - 2*v - 4*v + (-1 - 1 + 3)*(-v - v + v))*(-v**3 - 2*v**3 - v**3) in the form j*v**4 + b + s*v**2 + f*v + p*v**3 and give j.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let w(i) = -i**3 - 6*i**2 + 3*i - 4. Let u be w(-7). Let x(y) = u*y**2 + 16*y**2 - 37*y**2. Let d(t) = -5*t - 5*t + t. What is x(d(a))?\nAnswer: 243*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*m = 3*f - 39, 0 = -2*f + 2*m - m + 24. Suppose 4*z - f = 105. What are the prime factors of z?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -4*((-3)\/273)\/((-154)\/(-539))?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: -1100011100 (base 3) to base 13\nAnswer: -bcca","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 n and 1 t when two letters picked without replacement from {s: 1, d: 1, n: 1, v: 8, a: 4, t: 1}.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 3414988 or 3415004?\nAnswer: 3415004","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 92920024 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 2715\/21 - (-8)\/(-28). What is t rounded to the nearest ten?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 0.3 + -0.3. Let y = 1 + t. Let j = -12 - -7. What is the nearest to 1 in y, j, 2\/23?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 148b - -9c9?\nAnswer: 1e54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 878732069?\nAnswer: 47, 18696427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 8201770607?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 2325 (base 9) in base 8?\nAnswer: 3274","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4*5*(-4 + 3 + (sqrt(1377) + sqrt(1377) + 1 + -3 - (3 + sqrt(1377) + 1*sqrt(1377))))*6 + 4)**2.\nAnswer: 524176","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:16 PM and 3:09 PM?\nAnswer: 53","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.4 times -113?\nAnswer: 45.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify t**(-5\/8)\/(t*t**(-2\/21)) assuming t is positive.\nAnswer: t**(-257\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 1, -1\/4, -8.34?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let p(s) be the third derivative of -s**6\/120 + 2*s**5\/15 - s**4\/4 - s**3 + s**2. Let b be p(7). Is b\/(3 - 4)*-191 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(v) = -12*v + 63. Let x be y(-5). Which is bigger: x or -0.05?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 91 + 3 + (43 - 78)?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2264?  (a) -11  (b) -5  (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 1\/90 >= 4\/27?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*l + 5*n - 49, 0 = -l + 3*n - 0*n - 7. Suppose 5*r = -0*j + 2*j - 23, -4*j + 1 = 5*r. Solve -28 + l = j*v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*a = -5*a - 11. Suppose -3*v + 64 - 10 = 0. Let t be -2*3\/v*-3. Calculate the greatest common divisor of t and a.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (392\/(-20))\/((-32)\/80). Solve 45*q = a*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = h + 8*u - 40, 466*u + 25 = 3*h + 471*u for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -4*a**2*d*r + 5*a**2*d - 3*a**2 + 56*a*d*r**2 + 11*a*d + 7*a*r**2 + d wrt r.\nAnswer: -4*a**2*d + 112*a*d*r + 14*a*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 78 and 953953494.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3 = -y - 0*y. Let x be (-226)\/y - (-8)\/12. Suppose x = s + 3*s. Calculate the remainder when 54 is divided by s.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 4\/(-14) + 111\/168. Suppose 12 = -3*g - 0. Let x = g + 5. What is the biggest value in 2, y, x?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, -14, 9, -3, 3 in increasing order.\nAnswer: -14, -3, 0, 3, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let u(c) = -4*c**3 - 13*c**2 + 6*c - 10. Let z be u(-6). Suppose 16*a - z - 274 = 0. Calculate the highest common divisor of 195 and a.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 439738?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {r: 2, b: 2, y: 5, w: 8}. What is prob of picking 1 y, 2 r, and 1 b?\nAnswer: 1\/238","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 15065.\nAnswer: 5, 23, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8 = -2*p - 2*a, -23 = -4*p - a + 4*a. Suppose -4*o - 6 = 3*r - 71, 4*o + 87 = p*r. Suppose -1 = -4*x + r. List the prime factors of x.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -1622*t + 1620*t + b + 17, 4*t + 4*b - 40 = 0 for t.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: (621\/(-27))\/(-23)*3\/(135\/(-5))\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -37*z**4 - 3*z**3 - 3*z**2 - 12*z - 5501433?\nAnswer: -148*z**3 - 9*z**2 - 6*z - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -k - 7*v + 3*v + 26, -2*k + 32 = 4*v. Suppose -4*l - 3 - 9 = 0. Let h = k - l. What is the highest common divisor of h and 72?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -111 + 108 - f**2 - 10*f**2 - 3*f**3 to m*f**2 + c + x*f**3 + p*f and give x.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let d(k) = 3*k**2 + 231*k + 1562. What is d(-68)?\nAnswer: -274","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -14, -0.3, 2\/3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in -4, -5, 75, 0.13, 2, -3, 96?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 28134203 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from jjjjjj. What is prob of picking 3 j?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -455\/4 + 114. What is the closest to -0.1 in k, 0.4, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:27 AM and 6:06 PM?\nAnswer: 459","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 204 + 153?\nAnswer: 357","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Sort -19, 0.3, 0.5.\nAnswer: -19, 0.3, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -117 - -115. Calculate the lowest common multiple of (-1 - -8)\/(12*g\/(-48)) and 26.\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*x - 15 - 1 = 0. Let t(i) = 2*i**3 + 4*i**2 + 3. Let j be t(x). Factor -40 + 2*r**2 - 32*r**2 + 7*r - 5*r**j - 31*r - 36*r.\nAnswer: -5*(r + 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (11*h - 11*h - h**2)*(0*h**2 + 6*h**2 - 2*h**2) + 1 + 3*h**4 - 1.\nAnswer: -h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose j - 66 = 12*j. Let l(a) = -a**2 - 4*a + 0*a**2 - 5 + 13. Give l(j).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15 = 5*k - 0, 3*k + 204 = 3*d. Let h = d + -56. Suppose 0 = -2*p - c + 112, 2*c = 5*p - 454 + 156. What is the remainder when p is divided by h?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 47 + -32 + (8 - 4).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 50*c - 2663 = -3*z + 46*c, 0 = 2*z - 5*c - 1806. What are the prime factors of z?\nAnswer: 19, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 240*g - 721*g + 221*g + 235*g.\nAnswer: -25*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 26.65562 weeks in minutes?\nAnswer: 268688.6496","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*w + 2 = -22. Suppose y = w - 1. What is the units digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -2679.317421 to the nearest one hundred.\nAnswer: -2700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 14 divided by -27?\nAnswer: -14\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let z(d) = -6*d + 4. Let k be (9 - 14 - -13) + -6. Give z(k).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*i - 3 = 3*b, b - 5*i + 4*i + 1 = 0. Let y be b + (-48)\/(-26) + -1. What is the third biggest value in -2\/3, -1, y?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -4421, -4420, -4419, -4418, -4417, -4416?\n\"Answer: b - 4422","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*r - q = -12, -12*r + 2*q + 3 = -13*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 15 a factor of 102126?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -702*n + 957*n = -9180 for n.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 57*f**2 + 43*f**2 + 17*f**2 - 21*f**2 - 11*f**2.\nAnswer: 85*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 2\/4*6*4\/(-36)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -48 + 38?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 401 minutes before 10:12 AM?\nAnswer: 3:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Total of 482.071 and 0.5.\nAnswer: 482.571","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*o - 9*o - 8*o)*(-4*o + 2*o + 0*o) + 4*o - 4*o - 7*o**2.\nAnswer: 35*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 86*t + 194 - 22 = 0 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -213*y + 128 = -149*y. What is the closest to -0.3 in -1, y, -1.35?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -134*s = -153*s + 10659. What is the units digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 67 divide 2010?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let w(b) be the first derivative of -b**4\/2 + 2*b**3 + b**2\/2 - 6*b + 14. Let h = -29 - -28. Let l(i) = i**3 - i**2 + 1. Give h*w(j) - 6*l(j).\nAnswer: -4*j**3 - j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 2728*s**6 - 147*s**2 - s.\nAnswer: 327360*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let h(n) be the second derivative of -2*n + 20 + 0*n**2 - 128*n**6 - 120*n**5 + 0*n**3 - 125\/3*n**4 - 1024\/21*n**7. Factor h(m).\nAnswer: -4*m**2*(8*m + 5)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*j + 20 = 4*j. Suppose 0 = -2*d + o + 3, -5*o - 1 = 2*d - 10*o. Let f(h) = h + 8 + h**3 - 6*h**2 - 2 + d*h. Give f(j).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ep when two letters picked without replacement from {m: 1, p: 4, h: 1, w: 1, e: 4}.\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 7151 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 214534.\nAnswer: 2, 67, 1601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 66.934 + -67. Let x = 1.934 - l. Let b = -4.9 + 5. Sort b, -0.4, 6, x.\nAnswer: -0.4, b, x, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 595975, 1192766, 1789557, 2386348, 2983139?\n\"Answer: 596791*w - 816","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -407*p - 991 = -503 + 733 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-3 - 6)*1 + 1. Let k(l) = 5*l**2 + 11*l - 7. Let u be k(w). Calculate the remainder when 32 is divided by u\/21 + 2\/7.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 373 + 17*o**2 - 295 - 87 - 100 in the form q + b*o**2 + m*o and give b.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -296 + 306 + 1*-2?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -14 + 15. List the prime factors of (k\/(-4))\/(7\/(-196)).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 21 a factor of 18190893?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 6 + -3. Suppose 0 = q + q - 24. Let l be 2\/q - (-50)\/60. Which is the closest to -0.3?  (a) -2\/3  (b) l  (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 122960000 to the nearest 1000000.\nAnswer: 123000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4*w**2 - 8*w**2 - w + 2*w**2 - 33*w + 3*w**2.\nAnswer: w**2 - 34*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 4 + -4 - 1 - -6.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d(q) = -7*q - 11. Is d(-10) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((2*sqrt(320) - (-1 + sqrt(5) + -1)) + sqrt(25)\/sqrt(5)*-5 + 0)**2.\nAnswer: 40*sqrt(5) + 504","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((0 + 0 - n)*(1 + 0 - 2) - 4*n + 0*n + n + (-116 - 22*n + 116)*(-4 - 25 + 15))*((0 + 1 - 3)*(-3*n + 4*n - 3*n) - 2*n + 2 - 2).\nAnswer: 612*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:13 AM and 1:41 PM?\nAnswer: 388","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 0, 49, -4\/9, 38, 2\/21?\nAnswer: 38","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let v(w) = -w. Let h(k) = 2*k. Let p(y) = -3*h(y) - 5*v(y). Let g(o) = -2*o. Calculate g(p(j)).\nAnswer: 2*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*r = -78 - 7, q + 2*q - 5*r - 108 = -38 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 4, 1\/4, 997, -2\/15?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 230696 to the power of 1\/2, to the nearest integer?\nAnswer: 480","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1 in -1.2, 4\/3, -1\/5?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 9, 0, -0.0424638, -8, 2, 2\/19?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 18 + 3. Suppose -17*a = -x*a + 104. What is the remainder when a is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (-499 - -18 - -12)*920\/(-14)?\nAnswer: 2, 5, 23, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 385 minutes after 2:43 PM?\nAnswer: 9:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 65\/153824 and 79\/8512?\nAnswer: 2153536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {c: 7, v: 1, a: 1, l: 2, t: 4, m: 5}. What is prob of sequence tmvt?\nAnswer: 1\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 30.05 + -30.2. Which is the biggest value?  (a) z  (b) -2  (c) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 29\/38 - 24\/19. What is the nearest to -2 in 1\/3, m, 4\/5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 353 + -89. Is r a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -471789 to the nearest 1000.\nAnswer: -472000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -38022881 plus -60494?\nAnswer: -38083375","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Express 4*p + 0*p - 2*p + p + 3*p + 0*p + (-6*p + 2*p + p)*(2 - 5 + 4) + p + 4*p - 3*p - 61 + 37 + 39*p + 22 as g*p + s and give g.\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0163 + 0.12?\nAnswer: 0.1363","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4512271 + 710*m**2 - 4512271.\nAnswer: 710*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*d**2 + 8*d + 8 = 0. What is d?\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let x be -2*(-2)\/(-4) - -3. What is the derivative of 3 - x*v**4 - 7 + 2*v**4 + 2*v**4 wrt v?\nAnswer: 8*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(j) = -j**2 - 22. Let s(r) = -37 - 2*r**2 + 37. Determine s(m(v)).\nAnswer: -2*v**4 - 88*v**2 - 968","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*n = -5*c - 45, -2*c = 4*n - 3*n + 14 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let q be -1*(-1 + -20 + -3). Let a be 1 + 47\/((-1)\/(-1)). Suppose a = 4*o - o. Calculate the highest common divisor of q and o.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -u**2 - 3*u**2 + 2*u**2 + (1 + 2 - 1)*(0*u**2 + u**2 - 2*u**2) + 3*u**2 + 0*u**2 - 5*u**2.\nAnswer: -6*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Express (3*s - 4*s + 2*s)*(0 + 2 - 3) + 0*s - 14*s + 8*s + (-4*s + 5*s + s)*(3 - 5 + 3) as l + o*s and give o.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -74 = -2*q + w + 2*w, -171 = -5*q + 4*w. Suppose 0 = -n - 4*b + 105, -2*n - q + 274 = -3*b. What is the remainder when n is divided by 24?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-7 - -12 - (-55)\/(-10))\/((-6)\/9). Let h = 2.8 + -0.8. Let i = -0.6 - -0.76. What is the second biggest value in h, r, i?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 139.227 + -0.227. Let d = g - 138.5. What is the closest to -1 in -2\/9, d, 8?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 4 + 5. Is 5 a factor of -5 + c - (0 + -1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 2711, 6038, 9365, 12692, 16019?\nAnswer: 19346","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Product of -8 and -0.02667244.\nAnswer: 0.21337952","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.407*-35659.\nAnswer: 14513.213","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3*sqrt(352) - (sqrt(1408)*-1 - sqrt(1408)))\/(1*sqrt(2)*-1 - (sqrt(2) - (sqrt(16) - sqrt(64)\/sqrt(4))\/sqrt(8))).\nAnswer: -2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 672694236 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let t(y) be the third derivative of -y**6\/120 - y**5\/12 + y**4\/24 + 76*y**3\/3 - 70*y**2. What is the lowest common multiple of t(0) and 133?\nAnswer: 1064","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 2402, 4796, 7200, 9614, 12038, 14472, 16916?\n\"Answer: 5*g**2 + 2379*g + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b(v) = 14*v**2 - 12*v - 12. Let n(i) = 1 - 7*i**2 + i + 24*i**2 - 3*i**2 - 9*i**2 - 6*i**2. Determine b(d) + 12*n(d).\nAnswer: 2*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the sixth smallest value?  (a) 0.01  (b) 0.3  (c) -0.5  (d) 7  (e) -604  (f) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 34, 47, 48, 31, -10, -81, -188?\n\"Answer: -z**3 + 20*z + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -0.04 - 2.96. Let x = 224 - 221.66. Let m = x + 1.66. Which is the third smallest value?  (a) m  (b) u  (c) -5  (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -2953680.57962 + 2901680.778. Let h = 52020.2 + v. Let p = -20.4 + h. What is p rounded to four dps?\nAnswer: -0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -24*j + 7*j - 27920*j**2 - 6 + 27922*j**2 to p*j + x + q*j**2 and give p.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from nunnuzzzuun. What is prob of sequence uuzz?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -47\/1776 and 33\/266.\nAnswer: 236208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 11 a factor of 2410177?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: 8 * 0.11\nAnswer: 0.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 3109639387 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (9\/12)\/(5 + 385\/(-80)). Solve -1\/5*r**5 + 0 + 1\/5*r**3 - 1\/5*r**j + 1\/5*r**2 + 0*r = 0 for r.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify a**5\/(a*a\/(a\/(a*(((a\/a**(2\/23))\/a)\/a)\/a*a)*a)*a)*(a**(1\/5)\/a)**14 assuming a is positive.\nAnswer: a**(-818\/115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let k(o) = -3*o - 1 + o + 3*o - 4. Let i be k(0). Let l be (-1)\/i + 48\/(-140). Which is smaller: 1 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (3\/(-9))\/(13\/12*(-8)\/8).\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 123832, 123796, 123734, 123652, 123556?\n\"Answer: u**3 - 19*u**2 + 14*u + 123836","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o(f) = f**3 - 21*f**2 + 21*f - 19. Let r be o(20). Let a(p) = 9*p**2 - p + 1. What is a(r)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 251096129?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 13687691 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 87 - 110*m - 87 to p*m + x and give p.\nAnswer: -110","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 0 - 0.06. Let u = 1202 - 1357.1. Let d = u + 155. What is the closest to d in 1\/2, k, 1?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -8879*j**2 + 14278*j**2 - 2331*j**2 + 19029*j**2 + 14747*j**2.\nAnswer: 36844*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 80 take away 3439174?\nAnswer: -3439094","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3*(-1 + sqrt(275) + 0 + sqrt(275)) - ((0 + sqrt(275))*6 + ((sqrt(275) + 1*sqrt(275))*2 - sqrt(275)) + sqrt(275)))**2 + 5.\nAnswer: -480*sqrt(11) + 70414","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -56*u + 163354 = -52078. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 3120, 3116, 3112, 3108, 3104?\nAnswer: 3100","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s be ((-33)\/(-3))\/((6\/(-9))\/(-2)). Let w(p) = -2*p**3 - 6*p**2 - 3*p - 3. Let c be w(-6). What is the greatest common divisor of c and s?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 96858.42236 less than 0.4?\nAnswer: -96858.02236","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -0.2, 0.5, 5, -689, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let r(b) = -5*b**2 + 1. Give r(-1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 1768 and 325040?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 3\/10*-15*7\/(-189).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d(m) = 3*m**3 + 66*m**2 + 1319*m + 35106. Give d(-24).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 30 - 2725?\nAnswer: -2685","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ec when two letters picked without replacement from {e: 6, s: 1, c: 2, v: 3, u: 4}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 13059 and 2421?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let 2*t**2\/5 + 22*t\/5 - 72 = 0. Calculate t.\nAnswer: -20, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -z = 4*w - 5, 5*w - z = 4*z for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -7*(8\/20)\/((-56)\/(-120)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -1313973 and -6.\nAnswer: 7883838","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 14 + -10. Calculate the lowest common multiple of 240\/32*-2*2\/(-3) and c.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 870 a factor of 2277990?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let r(w) be the first derivative of w**3\/3 + 3*w**2\/2 + 3*w - 1. Suppose 2*v - 2 = -2*t - 12, 4*t = v. What is r(v)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:16 AM and 11:22 AM?\nAnswer: 246","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let b(u) = 10*u - 1. Let y(g) = -566*g + 134. Let m(w) = 5*b(w) - y(w). Find the first derivative of m(c) wrt c.\nAnswer: 616","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -3.126 + -0.149. Let o = h - -2.7. Round o to 2 decimal places.\nAnswer: -0.58","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 85 + 196. Let k = 100 + l. List the prime factors of k.\nAnswer: 3, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -851.75 and 13.\nAnswer: -11072.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*i + 4*d = 24, -2*i + 78*d = 84*d - 36 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let b be ((-12)\/(-9))\/(1\/3). Let i(h) = -h**2 + h + 2. Let x be i(2). Solve -5*v + 3*z = -16, -4*z = 2*v - x*v + b for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 19217711?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Put 48, -2\/3, 3\/14, -0.4 in decreasing order.\nAnswer: 48, 3\/14, -0.4, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Convert 32136322 (base 7) to base 12.\nAnswer: ab913a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.1 in 0, -0.9, 0.1, -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 48 minutes after 10:38 AM?\nAnswer: 11:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 45*z**4 + 644*z**3 - 514765*z wrt z?\nAnswer: 540*z**2 + 3864*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 4019 is divided by 60?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {f: 3, t: 4, s: 2, c: 1, x: 2}. What is prob of sequence csxf?\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -1.94 - 0.06. Let t = -0.0557 - -1.0557. Which is the smallest value?  (a) t  (b) 2\/3  (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 23216153\/57885 + 230\/3859. Let k = p - 401. Let z = -0.03 - -3.03. Which is the nearest to z?  (a) k  (b) -1  (c) -4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 22\/67 and -13?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 66400, 531225, 1792888, 4249807, 8300400, 14343085?\nAnswer: 22776280","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 733458 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: What is the closest to -1\/9 in -1.485, 2\/15, -2\/7, -0.3?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1\/5, -1, -2, 3.\nAnswer: -2, -1, 1\/5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*l - 10 = -l. What is the remainder when l\/(-3)*-2*222\/4 is divided by 15?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: -2 times -62725589\nAnswer: 125451178","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 2850762 - 70?\nAnswer: 2850682","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15 + 5 = -5*l, 3*a - 4*l - 28 = 0. Let o(r) = -2*r + 3. Let k be o(-5). Suppose -4*c - 5*v = -k, 0*c + c + a*v - 6 = 0. List the prime factors of c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(j) be the second derivative of -3\/8*j**2 + 1\/48*j**4 + 0 + j - 1\/12*j**3. Factor o(g).\nAnswer: (g - 3)*(g + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -35.8 and -14148?\nAnswer: 506498.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 26 and 195.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from pepub. What is prob of sequence ppup?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {u: 13, b: 1, y: 1}. What is prob of sequence bb?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let p(h) = h**3 + 13*h**2 + 17*h - 50. Let g be p(-11). Factor 0 + 0*m**2 - 1\/4*m**3 + 0*m - 1\/4*m**g + 1\/2*m**4.\nAnswer: -m**3*(m - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 5.301304 kilograms to milligrams.\nAnswer: 5301304","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 4  (b) 0.5  (c) 0.005\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: -1113546 divided by -6\nAnswer: 185591","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 10 - (1 - 6\/3). Let s = w - 3. What is the remainder when s is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -8, -39, -82, -131, -180, -223, -254, -267?\n\"Answer: x**3 - 12*x**2 - 2*x + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q(d) = -1300*d. Let g be q(-1). What is g rounded to the nearest one hundred?\nAnswer: 1300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 115921?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -85 + -7. Let b = 97 + q. What is the remainder when 32 + (-1 - (-1 + 1)) is divided by b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (31 - 24) + -1 + 0 + 9 - -1?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -1*-1.765\nAnswer: 1.765","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 919438.\nAnswer: 2, 13, 35363","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from hcyyzccyzgaaycccaz. Give prob of sequence zyz.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Does 6 divide 10868166?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o*o*o**3\/o*o)**(-2\/85)*(o**12*o)\/o*o\/(o**(-9\/2)*o) assuming o is positive.\nAnswer: o**(557\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5 + 1 - 9)*(-2 - u**2 + 2).\nAnswer: 3*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 64 - 2?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 252477039*r**6 + 3*r**4 - 90341421*r**2.\nAnswer: 30297244680*r**3 + 72*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 0 + -7 - (-5 + (-7 - -10)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from uuuuuuuumuuuumum. Give prob of picking 1 m and 3 u.\nAnswer: 33\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -33*a**2 - 85*a + 18*a**2 + 18*a**2 + 2 to k + f*a + j*a**2 and give j.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is (-17)\/(-34)*1\/(6\/(-3))?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w(g) be the third derivative of 0*g**4 + 1\/24*g**3 - 1\/240*g**5 + 0*g + 0 + 14*g**2. Factor w(l).\nAnswer: -(l - 1)*(l + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -10 + 19. Calculate the lowest common multiple of u and 2.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-71*o + 14*o - 11*o - o - 2*o - 4*o + (0*o - o + 2*o)*(3 - 1 - 4) + 2*o - 2*o - o)*(-1 + 1 - 1) to the form j + f*o and give f.\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 339656 to the nearest integer?\nAnswer: 583","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*o - 25 = 5*d, -31*d + 31 = -26*d + 3*o for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*g**4\/7 - 20*g**3\/7 + 4454*g**2\/7 + 4472*g\/7 = 0 for g.\nAnswer: -52, -1, 0, 43","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 7779868723.\nAnswer: 11, 2903, 243631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -216 - 2*s**2 + 53 + 55 - 8*s + 56 + 48 to the form j*s + l*s**2 + g and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -4269, -30210, -73447, -133980, -211809?\n\"Answer: -8648*i**2 + 3*i + 4376","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from jjipuujuiu. Give prob of picking 1 p, 2 j, and 1 u.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -809 - -1646. Suppose 4*z + 3364 = 4*i, i + 2*z - f = 5*z. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 898866133?\nAnswer: 11, 81715103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 3\/5357 in -4, 0, -2.7, -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 31 + 16 = 2*n - z, 5*n + 2*z = 95. Suppose -n*g = -16*g - 270. Is 27 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(n) = -93 + 49 + 2*n + 44. Suppose a + 6 = 4*d - 8, -3*d = 3*a - 18. Let l(x) = -5*x**2 + 2*x**2 - x**2 + 5*x**a. What is l(p(k))?\nAnswer: 4*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let y(t) be the second derivative of 0*t**5 - 247\/30*t**6 + 0*t**3 + 62*t + 0*t**4 + 9\/2*t**2 + 0. What is the first derivative of y(x) wrt x?\nAnswer: -988*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:25 PM and 7:21 AM?\nAnswer: 596","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, 92262, 7 in descending order.\nAnswer: 92262, 7, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 34407\/22496 + 5\/2812. Find the common denominator of 33\/16 and u.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 269 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5 + (1 + sqrt(11))**2 - ((sqrt(1584) + -1)**2 + sqrt(11)).\nAnswer: -1568 + 25*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Round 2.2096 to 0 decimal places.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand -5*z**4 - 7*z**4 + 0*z**4 - 6*z**4 + 4*z**4 + 4*z**4 + (z - z - z**2)*(z - z**2 - z) + 7*z**4 - 3*z**4 - 2*z**4.\nAnswer: -7*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 888773469 to the nearest integer?\nAnswer: 173","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Factor n**3\/4 + 1203*n**2\/2 - 33847*n\/4 + 19965.\nAnswer: (n - 11)*(n - 3)*(n + 2420)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let s(x) = 2*x**3 - 12*x**2 + 20. Let w be s(6). What is the derivative of 19*y**3 - w*y**3 + 58 + 91 + 15*y**3 + 55*y**3 wrt y?\nAnswer: 207*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 0 < 15\/1520989?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 2.754 - -0.246. Which is the second biggest value?  (a) -0.03  (b) -5  (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-4)\/(-18) + 7\/((-441)\/14). Let j(d) be the first derivative of -3\/4*d**4 + 2 + 0*d + 1\/3*d**3 + f*d**2. What is the third derivative of j(o) wrt o?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -34\/9 <= -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 277483 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -86 + 85. Let m be 3 - n - (-1 + 7). Let s = 2.4 - -0.6. Put 4, s, m, -4 in ascending order.\nAnswer: -4, m, s, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 138667 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 162787508?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 2\/15  (b) -2  (c) 1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 30 - 24. Let g(l) = 19*l + 12. Calculate the remainder when g(d) is divided by 43.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {i: 1, p: 2, v: 1}. What is prob of sequence vp?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3 = 5*t - 2*r - 7*r - r - 2, -3*r - 54 = -9*t for t.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 101000111 + 11001101?\nAnswer: 1000010100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let q(s) = -47*s - 1417. Give q(-32).\nAnswer: 87","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Divide -105 by -1.\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let k(r) = 4*r + 9. Let z be k(-8). Let f be (2\/(-5))\/(z\/(-5)). Let q = 0.26 + -0.26. What is the biggest value in f, q, -0.5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) -0.3  (b) 5\/4  (c) 0.2  (d) -39537\/2  (e) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 991575 and 6075.\nAnswer: 675","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 44162 to the nearest integer?\nAnswer: 210","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 411463?\nAnswer: 13, 31, 1021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Express 0 + 0 + 4*c + 2*c - 4*c - 11*c + 0 - 2*c + 0 + (-c + 3*c - 4*c)*(2 - 2 - 2) + 2*c - 6*c + 3*c + 12 + 11*c - 12 as w + l*c and give l.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Put -3\/5, -6, -108 in ascending order.\nAnswer: -108, -6, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let m be -4*(-2)\/(24\/15). Suppose 0*l = -5*l + m. Solve -2*b = 4*w, -10 = -4*b + w - l for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -96*i - 53 + 1289*i**2 - 2572*i**2 + 1284*i**2 as q*i**2 + c + w*i and give w.\nAnswer: -96","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -148899 or 263?\nAnswer: 263","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -621505 - -621505.3. Let z be 17\/(-45)*-2*-70. Let a = 53 + z. What is the nearest to k in -0.02, -3, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: (1 - 17) + -1 - ((33 - 11) + -25)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 0.377 + -0.677. Suppose 5*t = w + 24, -3*w + t - 2 = -0. Suppose 0 = o + j + j - w, 5*o + 2*j + 3 = 0. What is the third biggest value in l, o, -0.4?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.2?  (a) 2\/7  (b) 1\/7  (c) -8\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:53 PM and 7:42 AM?\nAnswer: 589","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 9\/((-54)\/4)*-3. Suppose 3*i = -0*a - a, 2*a + 4*i = u. Find the third derivative of 24 + a*h**4 - 24 + 9*h**2 - 3*h**2 wrt h.\nAnswer: 72*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 216\/(-144)*(8\/((-80)\/(-915)))\/(18\/(-8)).\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.07333 - -0.5?\nAnswer: 0.57333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: -0.08*4\nAnswer: -0.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 27\/4 of a milligram in micrograms?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is ((-3653)\/26 + -6)\/1*-298 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: -11 - (-99 + 37 - -16)\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve k = y, -11*y + 10*y = -5*k - 4*y - 16 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*w - 3 = -7. Suppose -5*h + w*j + 114 = 0, 3*h + 2*j = -0*h + 62. What is the greatest common divisor of h and 198?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*x - 5*x + 2*z - 7, 0 = -3*x + 5*z - 16. What is the second derivative of 0*t - 6*t**x + 4*t - 3*t wrt t?\nAnswer: -36*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((3*sqrt(891)*1 + sqrt(891))*-2 - (3 + (sqrt(1100)*4 + -2)**2 + sqrt(1100)))*5.\nAnswer: -88035 + 390*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: -1 divided by 10413559\nAnswer: -1\/10413559","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*x + 28 = 2*x. Let k = -781 + 786. What is the remainder when x is divided by k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 789 is divided by 27.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 21.20285 + -21.2. Round j to three dps.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 56300000 rounded to the nearest one million?\nAnswer: 56000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*l = -5*l + 25. Let f be 30\/(-12)*(-30)\/25 + 5 + -4. Determine m, given that -4\/3*m - 2\/3*m**f - 4\/3*m**l - 2\/3 + 4\/3*m**2 + 8\/3*m**3 = 0.\nAnswer: -1, -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.4 and 1237?\nAnswer: 494.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2663*i + 39*i**2 + 2663*i)*(-6 + 3 + 1).\nAnswer: -78*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose f - 3*z = -294 + 121, -4*z = 20. Let u = f - -67. Let i = u + 178. What is the units digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 5\/2*a - 15\/2 + 10*a**2 = 0. What is a?\nAnswer: -1, 3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -862*u**2 + 8678*u - 580.\nAnswer: -2*(u - 10)*(431*u - 29)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 41\/2 of a millennium in decades?\nAnswer: 2050","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 58*s**2 - 53*s**2 - 222*s + 115*s + 107*s.\nAnswer: 5*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 1808513 and 6251.\nAnswer: 329","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 82171267 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Convert 30144 (base 5) to base 15.\nAnswer: 884","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: (92\/225492*129)\/(1*-2)\nAnswer: -1\/38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 141 + 488. Which is bigger: 0.1 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) 5  (b) -22  (c) -0.3  (d) 4  (e) 0.05\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -6*(2 + 4 + sqrt(320)*-1 + (5 + sqrt(320) + -4)**2).\nAnswer: -1962 - 48*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -16102 - -16095. Let d(n) = -n + 9. Let t be d(7). Sort -2, u, -1, t in decreasing order.\nAnswer: t, -1, -2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -3919*r**2 + 5015 wrt r.\nAnswer: -7838*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1799989.\nAnswer: 197, 9137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 609 minutes after 8:27 PM?\nAnswer: 6:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify j**(-11)\/j**(-12\/5) assuming j is positive.\nAnswer: j**(-43\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v**(-1\/2)*v**(-5\/13))\/(v**(-20\/3)*(v\/(v\/(v*(v*v\/v**(-12)*v*v*v)\/v)))\/v) assuming v is positive.\nAnswer: v**(-797\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -0.191565373 and -0.3?\nAnswer: 0.108434627","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let q(d) = -d + 2. Let u be q(5). Let k = -5 - u. What is the units digit of k\/(-8) - (-124)\/16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(b) = 6*b - 115. Calculate l(-10).\nAnswer: -175","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 5908, 11733, 17558, 23383, 29208?\n\"Answer: 5825*v + 83","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -1458986, -1458964, -1458906, -1458794, -1458610, -1458336?\n\"Answer: 3*q**3 + q - 1458990","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -149\/5616 and 119\/3120.\nAnswer: 28080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence dx when two letters picked without replacement from xwbbdwbxbwdbb.\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let n(a) = -14*a + 4. Let f(c) = -30*c + 8. Give 2*f(m) - 5*n(m).\nAnswer: 10*m - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is (-14)\/(-28*6)*6?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -20510031 or -20510024?\nAnswer: -20510024","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 277, 261, 235, 199, 153?\n\"Answer: -5*m**2 - m + 283","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 2\/169, -6\/53, 0.7, 0?\nAnswer: 2\/169","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -3675*p**2 + 1836*p**2 + 1837*p**2 - 1218*p - 1468*p to the form b*p**2 + r + c*p and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -24*w**4 + 2*w**4 + 2 - 116*w**4 - 89*w**4 - 18*w**4 - 2*w - w**2 to b + d*w + y*w**3 + j*w**2 + t*w**4 and give t.\nAnswer: -245","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -111*w - 905*w - 3222 - 117*w + 3222 - 127*w.\nAnswer: -1260*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, 4, 1, -45, -4 in increasing order.\nAnswer: -45, -5, -4, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -y = 23 + 12. Let i = y + 76. Suppose -2*r + 3*r + 3*j = 19, 2*j = -4*r + 86. Calculate the remainder when i is divided by r.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 21850041?\nAnswer: 3, 233, 31259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 22 = 5*h - 3*p, -2*h = -p - p - 8. Let v = h - 3. Suppose 37 = 10*l - 3. Solve -4*c + 4*k = 16, -c - 4*k - v = l*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -1034, -250, 1056, 2884, 5234, 8106, 11500?\n\"Answer: 261*o**2 + o - 1296","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -837405686*d**4 + 477742041*d**2?\nAnswer: -20097736464*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let b be ((-75)\/35 - -3)\/((-20)\/(-140)). Suppose 0 = -5*d + 2 + 8. Solve d*v - 8 = b*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*b - 34 - 2. Let t = 2 - 7. Let s(g) = -8*g - 4. Let p be s(t). What is the greatest common divisor of p and b?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(t) = -t**3 + t + 1. Let h(j) = 7*j**3 - j**2 - 4*j - 3. Let s(o) = h(o) + 4*v(o). Let n be s(1). Factor 0*k**2 + 1 - n*k + k**2 + 5*k.\nAnswer: (k + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -19\/9 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 25 - 13. Solve c = -2*o - o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 40613694?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let u(q) be the third derivative of 0 - 1\/12*q**4 + 6*q**2 + 0*q**3 + 0*q. Let h(b) = 6*b**2. What is u(h(g))?\nAnswer: -12*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 231\/42 + -2*(-2)\/8. Solve 0 = -4*c + r*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -227, -227, -229, -233, -239, -247?\nAnswer: -257","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 851501 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*g = 5*g. Let j be 1070\/107 - (-18928)\/(-1892). Are j and g non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 649*z - 654*z - 2*t = -14247, 5*t - 14250 = -5*z. Is z at least 2853?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2987*c + 22197 = -277*c - 17431 - 41672 for c.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -792 - -972. Let a = -162495334.999811 - -162495515. Let l = a - t. Round l to 5 dps.\nAnswer: 0.00019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-4)\/(-12))\/((-3)\/54)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*w - 4*a - 2 + 46, 2*a = 2*w - 2. Find the third derivative of -2*i**2 - w - 27*i**3 + 32 - 145*i - 26 wrt i.\nAnswer: -162","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -6*o**3 + 3*o**3 + 0*o**3 + 3*o - 1 + 0 to the form c*o + v*o**2 + i + f*o**3 and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange u**4 + 53*u**3 + 2 + 540*u**2 - 538*u**2 - 7*u**4 + 16*u**3 - u**4 to the form j*u + s*u**2 + o + d*u**3 + z*u**4 and give z.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 10 + -16. Let w = f - -1. Let n = 0.03 - -0.27. Which is the third smallest value?  (a) 1\/2  (b) n  (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -946599, -946600, -946601, -946602?\n\"Answer: -o - 946598","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate m*z**3 + 21042*m + 6*z**3 + 109*z**2 + 2 with respect to m.\nAnswer: z**3 + 21042","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 33\/(-110)*28\/21?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 32994, 35087, 37178, 39267?\n\"Answer: -s**2 + 2096*s + 30899","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 7 (base 12) in base 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-2)\/4)\/(5\/(-15)*3)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 258166 is divided by 2662?\nAnswer: 2614","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*l**3 + 234*l**2 - 403*l - 90 = 0.\nAnswer: -1\/5, 2, 45","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 107\/8070 and -51\/14201317.\nAnswer: 426039510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let i be ((-13)\/65*0)\/(-1). Let l = -3766 - -19022\/5. Let r = l - 38. What is the closest to r in i, 0.4, -1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(j) = -j**3 + 13*j**2 - 29*j - 10. Let s be t(10). Suppose -7*f + 16332 - 4733 = s. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, 2.3, -1 in descending order.\nAnswer: 3, 2.3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 10*r + 227 = -3*l, -157 = 5104*r - 5103*r + 2*l for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 30 - 3 = t + 5*f, 2*t + 6 = 2*f. What is the lowest common multiple of t and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 126192 and 31548.\nAnswer: 126192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence mqm when three letters picked without replacement from {q: 3, m: 17}.\nAnswer: 34\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let k(l) = l**2 + 10*l - 21. What is k(7)?\nAnswer: 98","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let m be -1*1\/((-1)\/(-4)). Let i be 2 + -2 - (2 + -2). Suppose -10 = 5*f + 5*n, 2*n - 3 = -4*f - 13. Sort m, f, i in decreasing order.\nAnswer: i, f, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -31 + (-29 + 37 - -46) + 0 + 1.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Divide 2465 by -29.\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 15.8 + -16. Suppose -5*w = -5*z + z - 26, 2*w = -z. Suppose -6*c + 4 = -w*c. What is the second biggest value in y, c, -3, -1\/3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 50756 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -602*i**3*v**3 + 969*i**3 with respect to v.\nAnswer: -1806*i**3*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2079888474.\nAnswer: 2, 3, 37, 167, 56101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -149441 - -149436. Let p(h) = 4 - h**2 - 2*h - 4*h - 5. Calculate p(f).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -169 - -1181\/7. Let v = -26 + 26. Suppose -4*w - 4*l - 20 = 0, -4*w + 4*l + l - 47 = 0. Which is the second smallest value?  (a) w  (b) j  (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3\/7, -79, -1.74, 3 in decreasing order.\nAnswer: 3, -3\/7, -1.74, -79","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is -201212 (base 3) in base 6?\nAnswer: -2252","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort 35, -1, 15.\nAnswer: -1, 15, 35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 8580 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -22314, -89282, -200900, -357168, -558086?\nAnswer: -803654","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00026040854 to seven dps.\nAnswer: -0.0002604","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand 9*d**4 + 14*d**2 - 14*d**2 - d**4 + d**2 - d**2 + (0 + d + 0)*(-8*d**3 + 2*d**3 - d**3) - 10*d**3 + 10*d**3 - 3*d**4.\nAnswer: -2*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*q - 34*l = -37*l + 49, -39*l + 57 = 5*q + q for q.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is -2342 (base 10) in base 7?\nAnswer: -6554","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Divide -160305948 by 4.\nAnswer: -40076487","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 32 in -5, -7, -3, 0.24?\nAnswer: 0.24","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(264) + -2*sqrt(264)*-5 - sqrt(264))\/(sqrt(200)*-2))\/(6*((sqrt(1584) - (sqrt(1584)*1 + sqrt(1584))) + sqrt(891)*-1)).\nAnswer: sqrt(3)\/126","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -28?  (a) 0.5  (b) -3\/11  (c) 15807\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Put -6\/13, -3, 0, 0.5, -0.14 in increasing order.\nAnswer: -3, -6\/13, -0.14, 0, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*d = -4*t + 23, -2*t - 6 = -0*t - 2*d. Suppose t*a - 150 = -3*a. Suppose 0 = -k - z - 3*z, a = 4*k + z. Let q(h) = -h**2 + 9*h - 11. What is q(k)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 1.4 or 30\/161?\nAnswer: 1.4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let q(m) = 453*m. Let y(f) = -17282*f + 8644*f + 8636*f. Calculate y(q(u)).\nAnswer: -906*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 3\/294836 and -113\/14?\nAnswer: 2063852","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Put 4, 0, -1301, 15197 in increasing order.\nAnswer: -1301, 0, 4, 15197","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -i + 2*b = -b + 5*b + 67, -179 = 11*i - 5*b + 9*b for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1 divided by 45.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let i(z) = -3*z - 18. Let x be i(-6). Suppose x*t + 4 = t. Suppose -3*p + 48 = t*d + p, -d - 2*p + 9 = 0. What is the remainder when 57 is divided by d?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 110567 is divided by 99?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -23*f*s**2 - 5*f*s - 22*f - 32352*s**2 - 15314*s wrt s.\nAnswer: -46*f - 64704","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((i**0)**(-11))**(-8)*(((i*i**0)\/i*i)**(-11))**(-3\/14) assuming i is positive.\nAnswer: i**(33\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let y(t) = 2*t**2 - t. Let x(g) = g**2 - 5*g - 6. Let f(m) = -2*m**2 + 9*m + 11. Let b(r) = -6*f(r) - 11*x(r). Determine 2*b(i) - 2*y(i).\nAnswer: -2*i**2 + 4*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let z(t) = -3*t**3 + 146*t**2 - 1692*t + 372. Determine z(30).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 9 + 815?\nAnswer: 821","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let y be -1995*((-5)\/(-10) + (-3)\/(-2)). What are the prime factors of y\/(-24) - ((-12)\/(-16))\/3?\nAnswer: 2, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 14 >= 11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 a, 1 v, and 1 e when four letters picked without replacement from vlvvvleveevevav?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 42 - -102. Is 36 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(w) = -310*w + 1549. Calculate s(5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-300)\/(-1125))\/((-2)\/3)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Determine k so that -2*k**2\/21 + 522778*k\/21 = 0.\nAnswer: 0, 261389","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 220262598.\nAnswer: 2, 3, 29, 43, 3271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*sqrt(1872))**2 + sqrt(52)\/(sqrt(256) + sqrt(4)).\nAnswer: sqrt(13)\/9 + 1872","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let n(c) be the second derivative of 4*c + 0 + 0*c**2 - 7\/3*c**3. Let x(u) = -2*u**2 - 95*u**2 + 99*u**2. Calculate x(n(b)).\nAnswer: 392*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let u(l) = -l**3 + 53*l**2 - 395*l - 53. Determine u(44).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: 0.03 - 7188\nAnswer: -7187.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*z = -5*z + 5*t - 714, -2*t + 12 = 0. Calculate the greatest common divisor of 1767 and z.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 3313.7 - 3314. What is the fourth biggest value in -6, -0.2, -0.23, -0.4, l?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -12 + 10 + (1 + -2 - -4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 17\/(-17)*(8\/(-6))\/4.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-50)\/220*-2*(-14)\/(-35).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -703138890*d - 30345648 wrt d.\nAnswer: -703138890","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 165 minutes before 12:40 AM?\nAnswer: 9:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3 is divided by ((-68)\/(-119))\/((-2)\/(-7))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3705105000 rounded to the nearest 1000000?\nAnswer: 3705000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2 + 155*o**3 + 2*o - 1 - 157*o**3 + 8*o**4 to the form k + r*o**3 + p*o**4 + s*o + t*o**2 and give p.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2023?  (a) -0.3  (b) -86  (c) 2\/7  (d) 20\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 77437 and 17249?\nAnswer: 367","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from bpspbaybybp. Give prob of sequence ayb.\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-1)\/(-4)*6*2. Suppose -2*f = 5*h - 14, h + 2 = -t*f - 3. Let g(o) = 2*o + 2. Calculate g(h).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -34.5 + 34. Which is the second biggest value?  (a) k  (b) -4  (c) -4\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(b) = -621*b - 62713. Let l be a(-101). Determine i, given that -33\/4 + 1\/4*i**2 - l*i = 0.\nAnswer: -1, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:26 AM and 11:52 AM?\nAnswer: 446","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1 + (sqrt(448) - (sqrt(448)*-2)**2)*-2 + (-5 + 2*sqrt(448))**2 + -5 + -1.\nAnswer: -176*sqrt(7) + 5396","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((v\/v**0*v)\/(v**(-2)\/v))\/(v*v*v\/v**0*v**1) assuming v is positive.\nAnswer: v","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is seven eighths of a kilometer in meters?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 317622587?\nAnswer: 29, 53, 206651","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Factor -18*l**3 + 8655*l**2 - 7197*l - 1440.\nAnswer: -3*(l - 480)*(l - 1)*(6*l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -3 - -93384830?\nAnswer: 93384827","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 91859.065 rounded to the nearest 1000?\nAnswer: 92000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let z be -3 - -1 - (-350)\/176. Let g = 161\/1320 - z. Let s = -2023.7 + 2024. Which is the second smallest value?  (a) g  (b) -2\/5  (c) 1  (d) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -7*h + 57*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 23 a factor of 730611138?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand a + 3*a - 3*a + (-96 + 201 - 148)*(0*a - 3*a + a).\nAnswer: 87*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 17886097 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -f**2*q**3 + f**2 + 614*f*q**3 + 5*f - 41 wrt q?\nAnswer: -3*f**2*q**2 + 1842*f*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let m(r) = -52*r**2 - 13*r + 2. Let q(y) = 25*y**2 + 7*y - 1. Let v(l) = -4*m(l) - 7*q(l). What is v(2)?\nAnswer: 137","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 128 or -4297?\nAnswer: -4297","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6*q - 2*g = 38, 5*q - 544*g = -548*g + 9 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let h(p) = 32*p + 38*p + 29*p - 34*p - 3 - 8*p. Determine h(1).\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*b - 8 = -4*x - 3*b, 4*x = 3*b + 8. Find the second derivative of 0*u + x*u**4 + 15*u - 32*u wrt u.\nAnswer: 24*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are 43545\/6601 and 6 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let r(s) = 2 - 5*s**2 + 3*s**2 + 3*s**2 - s. Let m be r(-2). Let w = 201 + -137. What is the highest common factor of w and m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -8 + 11*t**2 + 102*t**2 + 19*t**2.\nAnswer: 132*t**2 - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 436 to the power of 1\/2, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -217?  (a) -0.3  (b) -1602  (c) 4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 1536 - 1529. Solve 4*m - 2*s = -26, g*m + 2*s = 9*m + 18 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (14 + -5)\/(2 - (0 + 1))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: -3 + (31 - (12 + 19)) + -1 + -1 + 41\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express 6*u - 3*u - 6*u + 17 + 0*u as b + n*u and give b.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let r(k) = k**3 + 20*k**2 + 84*k - 44. Calculate r(-14).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let x(o) = 2*o + 24. Let h be x(-8). Suppose 0*l - h = -4*l. Solve q + 4*t = -l, -4*t = 5*q - 6 - 0 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -11 + -24205?\nAnswer: -24220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -31 - -153\/5. What is the nearest to 1\/2 in -1, -3, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 2\/(-24)*(-22592)\/353*(-3)\/18?\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 35*x - 33*x + 3*w - 6 = 0, 3*x - 15 = -3*w. Let s(j) = -11*j + 3. Let r(h) = 5*h - 2. Give x*r(m) + 4*s(m).\nAnswer: m - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let p(z) = z**3 - 5*z**2 + 4*z + 9. Let k be p(4). Suppose -k*s - 105 = -12*s. Let b be (((-8)\/14)\/(-2))\/(5\/s). Solve 0*j = b*j - 6 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(t) = -t**2 + 203*t - 10721. Give y(91).\nAnswer: -529","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 6192 and 1584.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2872 is divided by 841?\nAnswer: 349","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 0 - 1472?\nAnswer: -1472","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -1678, -1860, -2042, -2224?\n\"Answer: -182*n - 1496","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 3427 and 736?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 3, -9, -11.97?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.55?  (a) -4  (b) -1\/2  (c) 4  (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -21, -0.2, -8, 0, 4, 0.037, -1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let x(a) = -12*a - 9. Let l = -13 + 20. Let m(q) = 0*q + q + 8 - l. Let j(p) = -18*m(p) - 2*x(p). Let i(s) = -3*s. Determine j(i(z)).\nAnswer: -18*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 132733298 rounded to the nearest one hundred thousand?\nAnswer: 132700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -a = -2*a. Let s = 57 + -58. Is (1 - a)*96 - s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(d) = d**3 - 14*d**2 - 14*d - 2. Let x be a(15). Suppose 113*u = 116*u - 429. Calculate the highest common factor of u and x.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.4 times -376?\nAnswer: 150.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let u(n) = 2*n - 2. Let o(h) = -749*h + 856. Let c(d) = 16*d + 92. Let a be c(21). Let f(z) = a*u(z) + o(z). Let b(q) = -2*q. What is b(f(g))?\nAnswer: -214*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 333307461 to the nearest integer?\nAnswer: 693","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 1131 - 1232?\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from fbifffmfibifbmffifif. Give prob of picking 1 b, 2 f, and 1 m.\nAnswer: 18\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let s(f) = -f + 2. Let v be s(0). Let w be (-1*v)\/((-12)\/18). Let k(b) = -4 + 5 - w + b. What is k(3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 4409016?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 6*f**2*q**3 - 280*f**2 - f*q**3 - 3*q wrt q?\nAnswer: 18*f**2*q**2 - 3*f*q**2 - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 9816 greater than 9816?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (4 + -3 + 1)\/(6\/15). Suppose -d*i + 3*t + 41 = 0, -t + 5*t - 13 = -3*i. Put i, -4, 4 in ascending order.\nAnswer: -4, 4, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 99, 205, 311, 417, 523?\nAnswer: 629","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose l = -3*o - 12, -183*o = -178*o + 30. Suppose 4*p = 4*n + 8, -3*n + 0*n = -p - 2. Solve 0 = l*a + p + 14 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 83, 324, 739, 1340, 2139, 3148?\nAnswer: 4379","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -123\/2 + 60. Let n = -1 - 0. Let f = n + -4. Which is the second biggest value?  (a) 0  (b) f  (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 2 + -2. Let j = 1 + o. Let c(y) = 40*y. Is 16 a factor of c(j)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (3*p + 2*p - 3*p)*(5*p - 5*p + 4*p) to v*p + u*p**2 + w and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -5\/6  (b) 180\/17  (c) -3  (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-2*(-1)\/6)\/(392\/76440). Solve 0 = 2*h - 5*z - 19, -t*h + 62*h + 18 = 3*z for h.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence hi when two letters picked without replacement from {h: 2, w: 2, i: 2, x: 6}.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from cwwcwwcwwcccccwwj. What is prob of picking 4 w?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Convert 78c83 (base 16) to base 9.\nAnswer: 833562","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n(d) = d**3 + 3*d**2 + d - 1. Let w be n(-3). Let o be w\/12 + 11\/15. Factor -6\/5*y**4 + 4\/5*y**2 + 2\/5*y**5 + 4\/5*y**3 + o - 6\/5*y.\nAnswer: 2*(y - 1)**4*(y + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -29*a - 16*a + 384*a + (1 - a - 1)*(1 - 1 + 1).\nAnswer: 338*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Factor -9*a**2 - 24*a - 16.\nAnswer: -(3*a + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (4 + 13\/(-4))\/(2\/8). Solve -2*b - 10 = -5*d + 13, 5*b = o*d - 29 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -4055719, -4055675, -4055631?\n\"Answer: 44*a - 4055763","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m(f) be the first derivative of 14*f**5\/5 + 2*f**3\/3 + 3*f**2\/2 + f + 78. Find the second derivative of m(k) wrt k.\nAnswer: 168*k**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*x - 6 = -2*z - 3, -15 = -3*x - 3*z. Let g be ((-11)\/(11\/2) - x)*-1. Solve -g*j + 2 - 8 = 0 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is fourty-eight fifths of a century in years?\nAnswer: 960","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 7*d**3 - 2*d**3 - 3*d**3 - 61*d**4 + 112*d**4 - 327*d**2 + 57*d**4 wrt d?\nAnswer: 2592*d + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -1 + 5 - (8 - 9 - 18 - -12).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-6 - 6 + 2 + (2 - 2 + 1)*(-1 - 3 + 2))*(0 - 4 + 2)*((-2*o + o - o)*(0 + 2 - 1) - 3*o + 8*o - o).\nAnswer: 48*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*y + 228 = k, 4*k - 841 = -2*y + 107. Let j = 242 - k. Calculate the greatest common factor of 38 and j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -7 - b1?\nAnswer: -b8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.118 in 0.5, 0.03, -1\/3?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (18\/8)\/((-6)\/32). Is -15 > u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*m**2 + m**2 + 3*m**2)*(4953 - 4953 - 120*m**2) + 0*m**4 - m**4 + 0*m**4.\nAnswer: -121*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let o(i) = -9*i + 2. Let y(g) = -g**2 + g + 1. Let k(a) = -4*a**2 + 6*a + 6. Let z(w) = k(w) - 6*y(w). Determine o(z(r)).\nAnswer: -18*r**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 217*c = -8*t + 6871 - 7433, -5*t - 4*c - 88 = 0 for t.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: 1.29*-1.4183\nAnswer: -1.829607","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many meters are there in 3.429288 micrometers?\nAnswer: 0.000003429288","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*q - 5*r = 1908, 0 = -4*q + q + r - 2862. Let m = -3743\/4 - q. Find the common denominator of m and -14\/3.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((k**(-6\/7)*k)\/(((k\/(k*k\/k**7))\/k)\/k)*(k\/k**(2\/3))**(-13))**(-1\/2) assuming k is positive.\nAnswer: k**(86\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let d(t) = -t**2 + 11*t - 7. Let a be d(10). Suppose -5*c + 26 = a*p, -2*c + 3 = -p - 3. What is the units digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 20*v - 30*v + 180 = 0. Let k(t) = 33*t. Suppose 24 = 2*g + 2*g. Let h be k(g). Calculate the greatest common factor of h and v.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -30*x**2 - 1 + 56*x**2 - 28*x**2 + 1.\nAnswer: -2*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let q(z) = 5*z**2 - 4*z**2 + 3*z - 2*z**2. What is q(4)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -15414, -15405, -15392, -15375, -15354, -15329, -15300?\n\"Answer: 2*j**2 + 3*j - 15419","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Round -10.92705533 to 2 dps.\nAnswer: -10.93","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 121040*c**2 - 121040*c**2 - 1024*c**3.\nAnswer: -1024*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(96)\/sqrt(3) + sqrt(2) + sqrt(2) + (sqrt(18) - (sqrt(18) - sqrt(162)))\/sqrt(9).\nAnswer: 9*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:11 PM and 12:42 AM?\nAnswer: 331","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 177*(3 + 16\/(-6)). Suppose -w = -3*m + 58. What is the tens digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(p) = 32*p - 7. What is the hundreds digit of i(4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 96 minutes before 7:48 AM?\nAnswer: 6:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 17 a factor of 170\/6*(-1458)\/(-405)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*w - 36 = w. Suppose 2*a - 8 + 20 = 0. Let i = a - w. What is the greatest common factor of 4 and i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -150, -336, -632, -1038, -1554, -2180?\n\"Answer: -55*r**2 - 21*r - 74","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3844.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let v(w) = w**2. Let f(g) = g - 18. Let s(d) = -2. Let q(j) = 2*f(j) - 18*s(j). Let t(x) = -8*x. Let m(z) = -7*q(z) - 2*t(z). Calculate v(m(a)).\nAnswer: 4*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -1  (b) -36  (c) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -5.0319 + 0.0319. What is the closest to i in 2\/3, -0.1, 60?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 6485?\nAnswer: 5, 1297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 406 minutes before 7:48 AM?\nAnswer: 1:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -820*u**6 - 14*u**2 + 2?\nAnswer: -98400*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, 3270, 15, 2, -1 in decreasing order.\nAnswer: 3270, 15, 2, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"}
{"text":"Question: Let d(s) = s**3 - 55*s**2 + 412*s + 92. Let x be d(46). Solve x = -281*c + 303*c - 44 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(d) = -d**2 + 3*d + 4. Let w be u(4). Suppose -8 = -3*q + 2*n, -5*q + 22*n + 12 = 19*n. Factor -1\/4*v**4 + q + 0*v + w*v**3 + 1\/4*v**2.\nAnswer: -v**2*(v - 1)*(v + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(k) be the first derivative of k**3\/3 - 1. Let f(c) = 9 - 5 - 4 + 4*c. What is w(f(h))?\nAnswer: 16*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let n(g) = -18*g**2 - g - 2. Let i be n(-3). Let p = i - -321\/2. Let t be 3\/(24\/(-14)) + 2. Which is the nearest to t?  (a) -1  (b) -5  (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -2\/187  (b) -14\/13  (c) 49  (d) -2\/15  (e) -2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 2552.082s in nanoseconds?\nAnswer: 2552082000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 323178917?\nAnswer: 323178917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: 100 - (175 - 69) - (5 - 0)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 67 + -40. Suppose 32*n - d*n - 1445 = 0. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in 1\/5 of a meter?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -6 (base 15) in base 10?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (130 - 80 - 62 + h)*(2*h - h + 0*h).\nAnswer: h**2 - 12*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 11453 (base 9) in base 13?\nAnswer: 3645","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 14266247.\nAnswer: 17, 109, 7699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12*v + 43 = 7. Solve v*d = -d - 12 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.000443926 to 5 dps.\nAnswer: 0.00044","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 41*x - 87 = -374 for x.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Express -o**2 + o - o**3 - 2 - 11*o**3 + 2*o**3 as d + r*o**2 + f*o**3 + v*o and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:57 AM and 6:34 AM?\nAnswer: 217","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:41 AM and 10:03 PM?\nAnswer: 682","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -0.08 + 4.08. Let h = -181 + 449. Let o = -270 + h. What is the closest to 20 in o, -5, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add together -2 and 23176.858457022.\nAnswer: 23174.858457022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -711 - -718. Suppose -35 = -p + 18. Calculate the remainder when p is divided by r.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 160, 780, 1868, 3424, 5448, 7940, 10900?\nAnswer: 14328","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -2520 and -140436230?\nAnswer: 140433710","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 128*s + 683 = 4907 for s.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 107502?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let c be ((-35)\/(-10) + -4)\/(1\/2). Is 251\/((-3 + c)\/(-44)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 11457 - -752. Suppose 5531 = 10*y - u. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(d) = -d. Let o be 8\/10 - (-55)\/25. Suppose o*a = -5*i + 45, 35 = 4*i + i + a. Let f(b) = 12*b - 16*b + i*b. What is f(g(u))?\nAnswer: -2*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -221*b*d**4 - 7*b - 2*d**4 + 8 with respect to d.\nAnswer: -884*b*d**3 - 8*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -2586, -10369, -23330, -41463, -64762, -93221, -126834, -165595?\nAnswer: -209498","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((1*sqrt(208))\/sqrt(8))\/((sqrt(48)\/sqrt(3))\/sqrt(8)).\nAnswer: sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let p(h) = -h**3 + 8*h**2 - 6*h - 5. Let b be p(7). Calculate the common denominator of 7 + (b\/6)\/1 and -59\/5.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((2 + 5 - 6)*(-d + 4*d - 2*d) + 1 + 2*d - 1)*(-2 - 4 + 4)*(-7*d**2 - 7*d**2 + 2*d**2).\nAnswer: 72*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -18 + 43. Let a be 215\/i + 3\/(-5). Suppose 4*k - 28 = a. What is the units digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1272594 is divided by 12350?\nAnswer: 544","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Does 23 divide 46642\/8 - (-20)\/(-16)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.17621579399 - 0\nAnswer: -0.17621579399","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 0*l - 18439*l**2 + 14619*l**2 + 0*l to b + a*l**2 + g*l and give a.\nAnswer: -3820","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (((106\/8)\/(-53))\/(15\/36))\/((-4)\/(-360)).\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b(o) = -3*o - 93. Let y be b(-31). Suppose r - 2*u - 8 = y, -r + 12*u - 16*u = 4. Solve 20 = 5*c, 4*l = -0*l + 4*c - r for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 35 + -8. Suppose -4*t + 11 = c. List the prime factors of (t\/6)\/((-2)\/21).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((m**2\/(m\/(m**(-1)*m)))**(-4))**(-1\/33))**16 assuming m is positive.\nAnswer: m**(64\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 111 - 63. What is the highest common divisor of 24 and p?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4 + 2 - 2)*(x**4 + 0*x**4 + 2*x**4).\nAnswer: -12*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let q(c) = 25*c. Let p(z) = 2*z. Let f(s) = -40*p(s) + 3*q(s). Let y(b) = b. Let m(o) = o**2 - 6*o. Let r(l) = m(l) + 6*y(l). What is r(f(g))?\nAnswer: 25*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is -158 equal to -163?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1946 or -5842\/3?\nAnswer: -5842\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Express 6*p - 2*p + 16*p**2 + 11*p - 4*p - 10*p as k*p**2 + o*p + f and give k.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -2 - (46 - 117 - -20).\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 7738*d*z**2 + 47865*d - 102*z**3 - 2*z**2 + 86*z wrt z?\nAnswer: 15476*d - 612*z - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 6437 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 136729217?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let x(t) be the first derivative of -35*t**4\/12 - 10*t**3 + 10*t**2 + 16*t - 16. Let w(f) be the first derivative of x(f). Let w(v) = 0. What is v?\nAnswer: -2, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 9884 + -29552\/3. Which is the fourth biggest value?  (a) z  (b) -0.2  (c) -2\/13  (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 65073, 272032, 616963, 1099866?\nAnswer: 1720741","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 92 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 6 - ((-11 - -5) + 8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -5275 - -5288. Solve 17 = -d - 3*j, -5*d - c = -4*j + j for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 34*x = 36*x - 3*c + 2, 5*x - 33 = -2*c for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: -2 - (-5 + -1 + 4)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 3082*c**2*h**2 + 172*c**2*h - c**2 - 5 wrt h?\nAnswer: 6164*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Convert 12 (base 10) to base 15.\nAnswer: c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d(h) be the second derivative of 0*h**2 + 0 + 1\/12*h**4 + 1\/2*h**3 - h. Find the second derivative of d(f) wrt f.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1456850340262 plus -0.2?\nAnswer: 1456850340261.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 4\/3*15\/10. Suppose -o = 4*m + 4*f + 2, -f = -2*m + 7. What is the units digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -42840 divided by 476.\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is twenty-seven quarters of a centimeter in micrometers?\nAnswer: 67500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-2 - (-2 - 0)) + 5 + -8 - -14?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -5, -71, 2, 2\/7?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 5?  (a) 3  (b) -0.4  (c) 2\/3  (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let t(s) = 6*s - 1. Let v(n) = n - 3. Let y be v(-3). Let q(g) = 5*g - 1. Give y*q(d) + 4*t(d).\nAnswer: -6*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Divide -8452 by 1.\nAnswer: -8452","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 945843?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -93 + 92.96. Let d = z + 0.03999555. What is d rounded to seven dps?\nAnswer: -0.0000045","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 68 - 92 = -2*n. Let l(d) = 29*d - 129 + 129 - n*d. Let o(f) = 4*f. Give o(l(q)).\nAnswer: 68*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Express 142 + 403 + 1011 - 169 + 2*y**2 as b*y**2 + r*y + n and give n.\nAnswer: 1387","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (6*(-2*(-2 + sqrt(180)) - (2*sqrt(180) + 5)))**2*4 + 5.\nAnswer: 6912*sqrt(5) + 414869","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from lulduuv. Give prob of sequence uul.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is -141.35371816 + -300?\nAnswer: -441.35371816","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Put 24, 6, -1, 51, -4, 7 in decreasing order.\nAnswer: 51, 24, 7, 6, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -53*l**4*m + 2*l**4 + 6*l**3*m - 14*l**3 + 47*l**2*m + 2*l**2 + 149*l*m - 4*m - 2 wrt l.\nAnswer: -1272*l*m + 48*l + 36*m - 84","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*l - l + 100. Suppose 5*d = 2*h + 2, -2*d + 47*h - 49*h = -12. Does 15 divide ((-336)\/70)\/(d\/l)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 15661260 and 750240?\nAnswer: 125290080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {m: 1, g: 2, w: 1, q: 1, d: 2}. What is prob of sequence qgwd?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 4332932839?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -17*k + 212 = -3001. Let y = 216 - k. List the prime factors of y.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (78\/(-15))\/((-4)\/10). Suppose 4*f = 0, 0 = r - 2*f + 4*f - c. Does 13 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence bb when two letters picked without replacement from zbzzzzzbz?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9 = j - 18. Let c = j + -24. What is the smallest common multiple of c and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be -6*((-1)\/2 - 0\/(-4)). List the prime factors of 6*i*(30\/4 - 2).\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 1187987 + 575130. Let i = y + -1763085.99942. Let q = 31 - i. Round q to four decimal places.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: 25277*8\nAnswer: 202216","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 148216 and 2674.\nAnswer: 382","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -8958 - 1299*b + 703*b + 597*b.\nAnswer: b - 8958","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0 - 2 + 260*s + 2 - 266*s.\nAnswer: -6*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*a = -5*a - 14. Let q be -1*3\/(3\/a). Find the common denominator of q\/11 + 564\/(-440) and 91\/12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 - -1 - ((-10 - -21) + -1)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 277948413 is divided by 9728?\nAnswer: 9725","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -21972937, -43945874, -65918811?\nAnswer: -87891748","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-4)\/(100\/5)*(-2)\/(-2)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, -95, 3, -5 in descending order.\nAnswer: 3, 1, -5, -95","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 36 + -71\/2. Let t(n) be the second derivative of -n + 0*n**2 - w*n**3 + 0. Let y(z) = 4*z**2. Determine y(t(x)).\nAnswer: 36*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {u: 2, z: 4, k: 1, l: 1, j: 1}. Give prob of sequence ul.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 298*p - 30 = 293*p for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(20)\/(sqrt(20)\/sqrt(5)*-2).\nAnswer: -sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 0 + 0\/(-1) - 0. Suppose -5*i - 14 + 4 = b. Suppose 5*c - 2*n = 2*n - 8, -2*n + 2 = -2*c. Is c >= i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(80) - sqrt(20))*4)\/(sqrt(36)\/(sqrt(9)*2)))**2 - ((sqrt(5) + -1 + 3 + -1)*3 + 5).\nAnswer: -3*sqrt(5) + 312","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14*i = -14*i + 560. Suppose g - 2*g + 20 = 0. What is the highest common divisor of g and i?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 4 - 3.9. Let w = -50.9 + 51. Which is the closest to q?  (a) w  (b) 0.3  (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*i**3\/15 + 532*i**2\/15 + 36418*i\/15 + 137288\/15.\nAnswer: 2*(i + 4)*(i + 131)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let w(s) = s - 17. Let h = -8528 + 8531. Let u(a) = 18. Calculate h*u(k) + 2*w(k).\nAnswer: 2*k + 20","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Do 1 and 2\/597181 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.12 + -37048038019.\nAnswer: -37048038019.12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -3\/2  (b) -3\/8  (c) -1  (d) 0.008  (e) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Put -2\/9, -21, -1.2, -23, -3, 1\/4 in descending order.\nAnswer: 1\/4, -2\/9, -1.2, -3, -21, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Work out -1184058 * 103.\nAnswer: -121957974","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 43\/300 and 3\/11.\nAnswer: 3300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 + 3 - 3 + 0 + 0 - 2 + (0 - 2 + 3)*(1 - 1 + 1))*(2186 - 2186 - 91*i).\nAnswer: -182*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 51634?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*g**4 + 2*g**3 + g**4 + 3*g**4 - g**2)*(-6*g + 0*g + 3*g).\nAnswer: -6*g**5 - 6*g**4 + 3*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*z = 24*j - 1172, -330*j - z - 47 = 328*j - 659*j for j.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 402 minutes after 7:36 PM?\nAnswer: 2:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -138972, -555649, -1250110, -2222355, -3472384, -5000197, -6805794?\nAnswer: -8889175","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v(y) = -y**2 + 5*y - 2. What is v(-4)?\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let v(o) be the first derivative of -12*o**5\/5 - 3*o**4 - o**2 + 8. Let z(j) = j**3 - j. Let w(x) = v(x) + 12*z(x). What is the second derivative of w(f) wrt f?\nAnswer: -144*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 1150565822 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*t - 35 = -5*p - 10, 5*p + 5 = t. Put -6, p, -1\/5, 1\/3 in ascending order.\nAnswer: -6, -1\/5, p, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 440 - 426. Solve 3*m + 4*w = -11, -4*w + 9 - o = 5*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -3*h**3 + 3*h**3 + h**4 + h**2 - 2*h**4 - h**2 + (-h**3 + 2*h**3 - 2*h**3)*(0*h + 3*h - 2*h) + 2*h**3 - 3*h**4 - 2*h**3 - h**4 + 7*h**4 - 3*h**4.\nAnswer: -2*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let c(t) = -4*t + 49. Let j be 48\/(5 + -2)*5\/10. Let g be c(j). Suppose -5*w - 5 = 0, 2*b + w = -0*w + g. What is the highest common factor of b and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(d) = 3*d**2 - 2*d - 2. Let y = 29 - 31. Let z(x) = x**2 - x - 1. Determine y*z(i) + j(i).\nAnswer: i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (4 + -2)*(-3 + (-15)\/(-3)). Sort -6, 3, 7, z in decreasing order.\nAnswer: 7, z, 3, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2.51 times -0.5?\nAnswer: 1.255","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*c + c - 2*c + 0*c.\nAnswer: -3*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: -12 + 341.2\nAnswer: 329.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -89 - -3?\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -340*o + 619 = 5039 for o.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 12*a + 32*a - 4*a + 560 for a.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4 + sqrt(612) - (0 + sqrt(2057)).\nAnswer: -5*sqrt(17) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*s + 69331 + 970669. Round s to the nearest one hundred thousand.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:30 AM and 6:22 AM?\nAnswer: 172","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 81467 and 123?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -8156, -16317, -24478, -32639, -40800, -48961?\nAnswer: -57122","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.23?  (a) 9\/4  (b) 1  (c) 2\/5  (d) -0.5  (e) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Factor f**3\/3 + 235*f**2 + 55225*f + 12977875\/3.\nAnswer: (f + 235)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -39 + 68. What is the tens digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: -76 - -891.926\nAnswer: 815.926","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-2*sqrt(264))\/sqrt(8)*-4)\/(sqrt(243)*2*6).\nAnswer: 2*sqrt(11)\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Express 8*f**3 - 47*f**3 + 125*f**3 + 86*f**3 + 7*f**2 - f in the form o*f**2 + i + k*f**3 + r*f and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 34938476?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let n(a) = a**3 + 141*a**2 - 107*a - 313. Is n(-134) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(p) = 15*p**2 - 5*p + 1. Let o be x(-4). Suppose 0 = 16*l + 46 - 142. Suppose -5*j - 3*g + o = 0, -g = 2*j - l*g - 123. Does 15 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -h + 3 = -5*w, 4*w = -2*h + h + 30. Suppose 0 = -7*o + 4*o - h. Let x = -0.113 - -5.113. Put o, 3, x in decreasing order.\nAnswer: x, 3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*f + 2*f = -192. Let j = f - -136. Suppose m = 5*m - j. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.003255840773 to 5 dps.\nAnswer: 0.00326","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, 0.8, -3, -2, 4, 2\/3.\nAnswer: -3, -2, 0, 2\/3, 0.8, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-1 - (2 + -17)) + 2. Suppose -2*i + 3*k + 6 = 0, -k - 4 = 4*i - j. Let v = 0.5 - -4.5. Which is the smallest value?  (a) v  (b) i  (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.000616 rounded to five decimal places?\nAnswer: -0.00062","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -64 + 71. Let u(t) = 5*t**2 + 9*t - 7. Is u(z) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -1268 - -1277. Suppose g = k - 1 - 1, -2*g - 2*k = -16. Let n = g - -2. Solve 0 = 3*w - j, 3*i - 9 = -n*w + 3 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(g) = g - 8. Let j be k(8). Let n = -176.282 - -0.182. Let w = -176 - n. Which is the closest to -6?  (a) -2  (b) w  (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 8482 by 1.\nAnswer: 8482","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 882 and 2556?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 11084 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: Product of -35 and -2.68.\nAnswer: 93.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -20 - -44. Suppose -4*g - 1 - 8 = -u, -q = 4*g - 4*u. Let t be g + (-3)\/6*-22. Solve 0 = i + i + t for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-75330)\/378 - (-2)\/7. Let q = 213 + k. Calculate the greatest common factor of 56 and q.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 52\/5 of a litre in millilitres?\nAnswer: 10400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 5614 is divided by 2744?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 134.892 - 138.8. Let p = u - 0.022. Round p to the nearest integer.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 46499\/7 + -6643. Put 30\/13, 9, b in descending order.\nAnswer: 9, 30\/13, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((f\/(f*f**(7\/2))*f**(-19\/2)*f)**(-38))**3 assuming f is positive.\nAnswer: f**1368","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Round -9.128157894 to 0 dps.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let f(h) be the first derivative of -5*h**2\/2 + 1. Let p be f(3). Does 10 divide p\/(-2)*8\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (i - i - 5*i)*(3 - 4 - 2) - 1225*i + 2017*i - 1159*i as n*i + u and give n.\nAnswer: -352","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 11 - (-5)\/20*-36.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 1793, 3311, 4851, 6425, 8045, 9723, 11471, 13301?\n\"Answer: 2*z**3 - z**2 + 1507*z + 285","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, -158, 12 in ascending order.\nAnswer: -158, 3, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let t(q) = q**2 - 77. Let f be t(-9). Calculate the highest common factor of f and 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(n) = n**3 + n + 65. Let l(i) = -i**2 - i. Let k be l(0). Is h(k) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -2 - -3. Let q be 1091 + (-1)\/u + 3. Let h = -774 + q. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(s) be the first derivative of s**2 - 4*s + 1. Let q be (-616)\/(-18) - 8\/36. Let f(z) = 21*z + 23 - 13*z - 19*z. What is q*n(j) + 6*f(j)?\nAnswer: 2*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand 253*u - 44*u**2 - 253*u + (-1 - 3 + 2)*(-u**2 + 3*u**2 + 0*u**2).\nAnswer: -48*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many tonnes are there in 3.435146ug?\nAnswer: 0.000000000003435146","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 4847, 4859, 4873, 4889, 4907, 4927, 4949?\nAnswer: 4973","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -0.5  (b) -101  (c) -2\/5  (d) -1\/311\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 1261851\/62 + -20353. Calculate the common denominator of 79\/434 and m.\nAnswer: 434","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 210012221 (base 3) in base 15?\nAnswer: 48b4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -s - 4*p = -2*p + 8, -5*s - 12 = -4*p. Let u = s - 4. Is -8 greater than or equal to u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 858 and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 22 + -8. Suppose -z = 3*y + 3*z + 7, 3*z - 3 = -5*y. Solve -3*w - i = 3*i - n, -8 = -y*w - i for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 13666*y**2 - 6*y**3 - 13666*y**2 + (0*y**3 - 2*y**3 + 3*y**3)*(5 - 1 - 1) + (-2*y**2 + y**2 - y**2)*(3*y + 4*y - y).\nAnswer: -15*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of ((-2)\/3)\/(128\/(-36)) and (27\/((-10692)\/(-2937)))\/(1\/((-2)\/(-4)))?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -6*d + 12*d - 14*d + 2*d + 5*d.\nAnswer: -d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence if when two letters picked without replacement from ifyffffff?\nAnswer: 7\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-6)\/33 - (-476)\/(-44). Let o = -1 - m. Solve -5*n - o - 15 = 0 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1666185 divided by 3.\nAnswer: -555395","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p**(1\/2)*p\/(p*(p**(3\/5)\/p)\/p)*p*p*p)**(16\/7) assuming p is positive.\nAnswer: p**(56\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let z(m) = m**2 + 61 + 43 - 11*m + 7 - 19*m + 12. Let p be z(26). Solve 0 = 3*h + 5*j - p, 4*h - 5*j - 5 = -h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is ((60\/(-8))\/5)\/((-9)\/2382) a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(k) = 2*k. Let l be j(1). Let t(w) = w - 4. Let q be t(7). Suppose -3*m + q*x + 26 = -l*x, -4*x + 17 = 3*m. What is the units digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 4a1a (base 14) to base 5.\nAnswer: 403320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -12*y = -3795 + 3771 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -143*p + 154 = -388*p + 2849 for p.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -7, 2, 1, 802\/5?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let y(k) = -k**2 - 6*k + 6. Let n(c) = -c**2 - 10*c - 7. Let d be n(-5). Suppose -13*p - d = -10*p. Determine y(p).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(w) = 32*w**2 + 51*w - 329. What is n(5)?\nAnswer: 726","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-i + 0 + 0)*(-3 - 4 + 5) + 2*i + i - 4*i - 295*i - 54 + 54.\nAnswer: -294*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 328840.\nAnswer: 2, 5, 8221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let k(j) = -6*j + 53. Let p be k(4). What is the second derivative of 0*i**2 + 141*i - p*i**2 - 349*i wrt i?\nAnswer: -58","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 1995 + 2000 - 3257*b**2 + 11147*b**2 - 3995 to the form n*b**2 + u + s*b and give n.\nAnswer: 7890","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -51*p**3 - 16*p**2 + 203*p**3 - 51*p**3 - 70*p**3 - 49*p**3.\nAnswer: -18*p**3 - 16*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let a(s) = s**3 - 11*s**2 - 12*s - 12. Give a(12).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let v(k) = -15*k + 17. Determine v(2).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Express -2 + 4 - 15*r**2 - r**3 + 19*r**2 as v*r**2 + b + c*r**3 + l*r and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -k - 12 = -4*k. Suppose 5*j + m = 9, -3*j - 13 = -5*m + k. Is 7 a factor of (-12)\/j*10\/(-8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 102*p - 4169 = 1826 + 5344 - 2159 for p.\nAnswer: 90","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(17) - sqrt(102)\/sqrt(6)) + 5 - (sqrt(102) + sqrt(102)*2)\/sqrt(6)) + -3)*2.\nAnswer: -6*sqrt(17) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*((sqrt(2) - sqrt(18)) + sqrt(2)))**2 + (sqrt(10)\/sqrt(5))**2 + 4.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let s be ((-33)\/3 - -3)\/(-2) - 2. Differentiate -6 + 28 + 6*p**s + 22*p**2 + 3*p**2 with respect to p.\nAnswer: 62*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g**(10\/7)\/((g*g*g*(g**(9\/8)\/g*g)\/g*g*g*g*g)\/g*g*g))**(3\/11) assuming g is positive.\nAnswer: g**(-1125\/616)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let x(k) = 6*k**2 + 7*k + 30. Let a = -85 + 74. What is the hundreds digit of x(a)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(n) = 4*n**2 - 17*n + 30. Suppose r + 4*d = 2*r - 25, -58 = -4*r + 2*d. What is the tens digit of t(r)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(s) = 2*s**3 - 26*s**2 + 8*s + 93. Calculate i(14).\nAnswer: 597","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*q = -0*q, -3*a + 6*a - 5*q = 0 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Put -2, -15, 4 in descending order.\nAnswer: 4, -2, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 480\/(-450)*(-270)\/(-648).\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.863 and -238837.\nAnswer: -206116.331","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -172*m**2*p**2 + 77*m**2*p - 2*m**2 + m*p**2 + 2*m*p wrt p.\nAnswer: -344*m**2 + 2*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(8) + 1 + -5.\nAnswer: -4 + 2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -83\/9696450 and -41\/55990.\nAnswer: 106660950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 16506*b*l**3 + 947288*b + 6*l**3 + 152*l**2 - 26*l wrt l?\nAnswer: 99036*b*l + 36*l + 304","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 3739 - 8998. Let w = -1666 - q. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 3819, 7652, 11485, 15318?\nAnswer: 19151","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g\/((g\/(g*g*g**(-1\/3)))\/g))**(6\/35)*(g*(g*g\/g**(-1\/10)*g)\/g)\/((g\/g**(4\/13))\/g) assuming g is positive.\nAnswer: g**(3517\/910)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 1 + -4*(5 + -4). Sort h, 6, 1, 0.5.\nAnswer: h, 0.5, 1, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-100)\/(-24) + (-2)\/12. Let d = 12 + r. What are the prime factors of (-57)\/2*d\/(-12)?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor k**4\/8 + 7189*k**3\/4 - 3595*k**2.\nAnswer: k**2*(k - 2)*(k + 14380)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -197 - -118. Let s = f - -83. Which is the second biggest value?  (a) -5  (b) -2  (c) 0  (d) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -11 - -25. Suppose -l - l + d - 65 = 0, 63 = -2*l + 3*d. Let s = l + 60. Calculate the remainder when s is divided by t.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1517130 a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 297 a factor of 76329?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 l and 2 p when three letters picked without replacement from ipepll.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -23 - -164\/7. Let r be 10\/35 + (-5)\/(-7). Is r less than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 191739, 191749, 191771, 191811, 191875?\n\"Answer: m**3 + 3*m + 191735","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -3222132, -12888700, -28999646, -51554970, -80554672, -115998752, -157887210?\nAnswer: -206220046","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 438.9792 - -0.0208. Let q = -438 + v. Which is the second biggest value?  (a) -2\/3  (b) -29  (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence qxxo when four letters picked without replacement from {o: 1, a: 1, r: 1, x: 5, q: 3, i: 3}?\nAnswer: 5\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence sv when two letters picked without replacement from {v: 1, i: 4, d: 5, s: 5, f: 5}.\nAnswer: 1\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 32335 and 619295.\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 35 is divided by 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in fourty-five quarters of a litre?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 1584*c**3*f**3 - 1256*c**3*f**2 + c**3*f - 181*c**2 - 2*c*f**2 - 3*f**4 - 5*f**2 wrt f?\nAnswer: 9504*c**3 - 72*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*u + 5*u = -3*q - 82, -2*q = -u - 19. Let b be 3 + -24 - (2 + -5). Is u greater than b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0 or -2\/21567?\nAnswer: -2\/21567","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 326988015 is divided by 108995999?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3*(sqrt(1008) - (sqrt(1008) + -2*sqrt(1008)*2))\/(4*(sqrt(9) + (sqrt(9) - 1*(sqrt(9)*-1 - sqrt(9))))).\nAnswer: 3*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 28*i + 10*i - 4*i.\nAnswer: 34*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: 441490 divided by -5\nAnswer: -88298","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 6645328705.\nAnswer: 5, 23, 57785467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (19 - (-1 + 1))\/1. Suppose -x - 64 = -n. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*l - 1899 = -4*o + 2537, 0 = 2*l - 4*o - 2242. List the prime factors of l.\nAnswer: 3, 7, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(u) = 2*u**3 + u**2 + 2*u - 2. Let l be p(1). Suppose -3*t - 3*h + 66 = -57, -5*h = -l*t + 131. Is t a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -3980, -4114, -4334, -4634, -5008?\nAnswer: -5450","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence xxhx when four letters picked without replacement from {w: 1, j: 1, h: 2, k: 7, x: 6}.\nAnswer: 1\/238","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 10.119 - 10.1185291. What is l rounded to 4 decimal places?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((q\/(q\/(q\/(q**(-6)*q))))\/(q\/(q\/(q\/(q**(-11)*q*q)*q*q))*q*q))\/(q**(4\/7)*q**(-7)) assuming q is positive.\nAnswer: q**(-11\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {f: 1, w: 4, a: 2}. Give prob of sequence fw.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:45 PM and 2:01 AM?\nAnswer: 136","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-40)\/(-2) + (-2 - -2). Suppose d - 6*d = z, -3*s - 1 = d. Suppose 5*c + 3*m = -63, -3*m = -1797*c + 1800*c + 51. Sort c, 3, s.\nAnswer: c, s, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (2*f - 5*f + 2*f)*(-3*f + 2*f + 0*f)*((-1 - 4 + 0)*(f - 5*f + 2*f) + f + 0*f - 2*f) in the form r*f**3 + a*f**2 + n + y*f and give r.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the seventh smallest value?  (a) 4\/3  (b) -0.1  (c) -4  (d) -55  (e) 2491  (f) -2  (g) 7\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 136*b + 164 = 95*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange n + 2*n**2 - 2 - 4*n**4 - n**2 + 3*n**3 + 7*n**4 to u*n**4 + o*n + d*n**2 + j + h*n**3 and give u.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 11*x**3 + 10271*x**2 + 2296162*x?\nAnswer: 66*x + 20542","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 13 + 462*h**5 - 566*h**5 - 10*h**4 + 509*h**2 - 13 wrt h?\nAnswer: -6240*h**2 - 240*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 20*k + 6*k + 13*k. Solve 50*d + 40*d - 360 = k for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -1.5 + -2.5. Which is the closest to 0?  (a) 3  (b) h  (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(l) = l**3 - l**2 + l + 5. Let c(f) = -6*f**3 + 9*f**2 - 6*f - 27. Let m(z) = 11*b(z) + 2*c(z). What is m(7)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v*v**(-5\/2)*v*v**2*v)**(-7)*((v**(1\/5)\/v)\/(v\/(v**4\/v*v*v)*v))**(-9) assuming v is positive.\nAnswer: v**(-373\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -15 + 17. Suppose -3*u + 139 = 5*r, 7*u - 245 = g*u - 5*r. List the prime factors of u.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 v when two letters picked without replacement from wwwvwwwwwwwvyvwvvwww?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let r(z) = -4*z - 18. Let w be r(-5). Suppose 5*h - 14 = -w*m, 0*h = 5*h - m - 8. Solve 4*d = -0*n + 2*n - 12, -2*d + h*n = 8 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3763999 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: (14\/(-21))\/(8\/(-3))*-4\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-3*5)\/(-3)*8*11\/(-792).\nAnswer: -5\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.000171101 to five decimal places.\nAnswer: -0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -1011021201 - 110?\nAnswer: -1011022011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 16\/11 and -25\/2653.\nAnswer: 29183","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 32 - ((8 - (0 - -3)) + (-5 - -12 - 19)).\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 1650 and 30.\nAnswer: 1650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 139*a - 115313 = -4*r + 136*a, 0 = -4*a - 4. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -489a4 (base 11) in base 7?\nAnswer: -412202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 20*h - 146 + 147 = 3*x, 0 = -7*x + 3*h - 85 for x.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let l(z) = -10*z - 1059. Give l(-106).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -4 + 2. Let i = 1 + h. Does 3 divide (-4 - (3 - 4))*i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 212274 and 2?\nAnswer: 212274","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*j + 2838 = 5*l - 3087, -8 = -4*j. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(l) = l**2 + 5*l + 1. Let t(f) = -f**2 - 4*f - 1. Calculate -5*n(z) - 7*t(z).\nAnswer: 2*z**2 + 3*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let b(v) = 2*v**3 + 2*v**2 - v - 2. Let m(y) = -y**4 - 3*y**3 - 3*y**2 + 3. Let n(t) = -6*b(t) - 4*m(t). What is the second derivative of n(k) wrt k?\nAnswer: 48*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -10*v + 14*v + 15*v as k + o*v and give o.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Factor 1\/4*f - 1\/2 + 1\/4*f**2.\nAnswer: (f - 1)*(f + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 296967?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -58 + 63. Sort -1, 3, -2, q in increasing order.\nAnswer: -2, -1, 3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 27005.58 months in years?\nAnswer: 2250.465","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 174, 172, 170, 168, 166, 164?\n\"Answer: -2*h + 176","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.1?  (a) 0.0255  (b) 0.3  (c) 0.04  (d) -3\/7  (e) 3.53\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 1.102 + -13.102. Which is the fourth smallest value?  (a) -5\/2  (b) 3\/5  (c) n  (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 26 - 27.1. Let x = -0.1 - f. Let s = -153 + 153.1. What is the closest to s in 2\/7, -5, x?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*r**2 - 4*r + 4*r)*(1578*r - 785*r - 848*r).\nAnswer: 110*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 3\/5 + 46\/(-60). Let h be 1*-1*(0 - 3). Let q = -222.4 - -222.2. Which is the closest to 0?  (a) q  (b) o  (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -3 + 1 + 17\/7\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 66*m - 44*m - 132 = 0 for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -12*b - 2*b**2 + 8 - 7*b - 22*b + 2*b with respect to b.\nAnswer: -4*b - 39","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r**4\/3 + 257726*r**3\/3 - 4210117*r**2 + 53617008*r - 49492800 = 0. What is r?\nAnswer: -257775, 1, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*d + 3*d = -j - 21, 2*d - 23 = 3*j. Suppose -2*g + 46 = -d. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 352 and 2992?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 249392 and 3055052.\nAnswer: 12220208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 64906 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 1224112426*x**2 + 156*x + 1646534 wrt x?\nAnswer: 2448224852","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 25 + -39. Let u(l) = 13*l**2 + 2*l - 1. Let o be u(1). Let g = o + s. Solve -3*v + 18 - 3 = g for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(o) = -69*o**2 + 2*o + 76*o**2 - 2*o. Let c(r) = 3*r**2. What is l(c(p))?\nAnswer: 63*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Factor i**4\/4 - 131*i**3\/2 + 4482*i**2 - 25088*i + 32768.\nAnswer: (i - 128)**2*(i - 4)*(i - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let r be -6*(-1 + 0)\/2. Let t(y) = y**3 - 3*y**2 - y. Let s be t(r). Let l be 1 - (0\/s - 2). Solve -3 + 15 = l*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(z) = -2*z. Let f(t) = -2*t**2 - 13855*t. Give f(k(p)).\nAnswer: -8*p**2 + 27710*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 1387244, 1387225, 1387206, 1387187, 1387168?\n\"Answer: -19*x + 1387263","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 46128 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(486)\/sqrt(3)*3*2.\nAnswer: 54*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 666*q - 333*q - 333*q + 2*q**2.\nAnswer: 2*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ieli when four letters picked without replacement from icioieiilc.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 1884 - 941 + 24*z - 942 to t + h*z and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -81*t + 83*t + 3*a - 3325 = 0, -5*a = t - 1659. What is the thousands digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 269.3 + -252.228. Let f = -17 + y. Round f to two decimal places.\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1392607477 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 414512 is divided by 15347?\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let m(z) = 20*z**2 + 40*z + 103. Let v = 628 + -608. Is m(v) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(p) = p + 0*p + 2*p - 6*p. Determine q(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*y - 10942 = -11*h - 10829, -4*h = -4*y + 52 for y.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: (-260689)\/(-3646) - (0 + 8\/(-16))\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-2*o**3 + 2 - 2)*(6 - 8 + 5) + 160*o**3 - 12 + 4*o**2 - 2*o**2 - 158*o**3 as b*o**2 + y*o**3 + z + w*o and give z.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 114731?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 625.135 - 625. What is t rounded to 2 decimal places?\nAnswer: 0.14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 272579.233 + -272455. Let c = -96.2235 + h. Let s = 28 - c. What is s rounded to 3 dps?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.003930888886 rounded to seven dps?\nAnswer: -0.0039309","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 5978\/3416 - (-391)\/204?\nAnswer: 11\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(x) = -17*x + 64. Let i(n) = -36*n + 144. Let t(k) = 4*i(k) - 9*r(k). Let q(v) = -5*v - 6. Calculate t(q(w)).\nAnswer: -45*w - 54","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 14336 and 140.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -3, -4\/77, 1, -11?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let g(c) = -c**3 - 7*c**2 - 6*c + 6. What is the units digit of g(-6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be ((-4)\/8)\/((-1)\/6). Suppose -5*m + 4 = -2*v, u*v = -3*m - 2*v + 21. Suppose m*i + 6 = 70. Is 16 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 1243 + 1114?\nAnswer: 2412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is -5 divided by 1274088?\nAnswer: -5\/1274088","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is -179 at least as big as -1968\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let f(w) = 3*w**3 - 5*w**2 + 2*w + 1. Let s = 3047 + -3065. Let t(n) = -13*n**3 + 21*n**2 - 9*n - 5. What is s*f(z) - 4*t(z)?\nAnswer: -2*z**3 + 6*z**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-2 + 0)*(-6)\/4. Suppose -b*x = -4*x + 23. What is the tens digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 c and 1 h when two letters picked without replacement from {c: 1, h: 1, v: 7, z: 2, l: 2, r: 1}.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -123 - -123. Suppose 0 = 2*l - 15 - 37. Let h = l + v. What is the smallest common multiple of 20 and h?\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in fifty-two thirds of a year?\nAnswer: 208","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 9.873501 decades in centuries?\nAnswer: 0.9873501","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor 16*o**2 - 6996*o + 3059001\/4.\nAnswer: (8*o - 1749)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 2 + 9. Suppose -54 = -5*h + f. Let z = h + 7. Is 10 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1158\/2895*(-120)\/(-28)?\nAnswer: 12\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -9911*d + 40209 + 286923 = -1523*d for d.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -22413120014 - -24?\nAnswer: -22413114440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 9325255, 9325256, 9325257?\nAnswer: 9325258","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Work out -5 * 4907.683.\nAnswer: -24538.415","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -4 + 6. Let q = 60 - 54. What is the smallest value in q, 2\/11, i?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 2750 and 176.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 25 + -21. Suppose 5*l = 3*l + 10. Let x(s) = -7*s + 3. Let r(y) = -6*y + 2. Let k(c) = l*x(c) - 6*r(c). Determine k(b).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3301942541?\nAnswer: 4127, 800083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 5 - -11 - (1 - 4 - (-21 + 14))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -1051\/78 - 9\/13. Is d at most as big as -15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -12064\/90255 + 2\/6017. Let h = 181\/880 + -1\/176. Which is the third biggest value?  (a) -23  (b) h  (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 10152523 - -424?\nAnswer: 10153351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*n - 13 = -5*g + 60, 2*g = 3*n + 27. Let o be (-3)\/(-5) + (-3)\/(g\/(-47)). Solve -2*q + 5*b = -21, -5*b + o = -5*q + 25 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-87 - -97) + (-7 - 1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -1.18 + 1.18. Is t smaller than 1403?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 4 - 25*c**2 - 3 + 42*c**2 to n + v*c**2 + s*c and give v.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 85\/46674608 and 27\/1432.\nAnswer: 46674608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 124888262 to the nearest integer?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -52 - -30. Let j = 11 + a. Which is bigger: j or -12?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a*a*a**(-2\/3)*a*a)**40\/(a**(-2)*a*a**(1\/2)) assuming a is positive.\nAnswer: a**(803\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is -568550 minus -0.02?\nAnswer: -568549.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 2 + -10325?\nAnswer: -10323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*d - 52 = -4*g + 2*d, -4*d - 38 = -2*g. Suppose 2*i = z + z + 18, 5*z - g = -i. Suppose -6*a + i*a = 336. Round a to the nearest ten.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 13030*z - 36 - 37 + 75 - 13028*z.\nAnswer: 2*z + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0000398 rounded to 6 decimal places?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from drxvdne. Give prob of sequence rde.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 8177 = -434*p + 1460*p - 397*p for p.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 2845672?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {l: 3, r: 2, h: 3, t: 3, x: 1, d: 3}. What is prob of picking 2 r and 2 h?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -9*i - 14 + 14 + (-2*i + 3*i + i)*(3 - 1 - 3 + (3 + 1 - 1)*(-6 + 9 + 4)) to the form f*i + n and give f.\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let y(n) be the first derivative of -411*n**4\/4 - 2*n**3\/3 - 6827*n**2\/2 - 5674. Find the second derivative of y(z) wrt z.\nAnswer: -2466*z - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 1009280 and 605568?\nAnswer: 3027840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 1042079926 to the nearest integer?\nAnswer: 1014","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -20 - 2?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -322*y - 24585 = -31347 for y.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let k(b) = 272*b + 108. Let j(w) = 273*w + 105. Let g(d) = -5*j(d) + 4*k(d). Differentiate g(q) with respect to q.\nAnswer: -277","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0001896 to five dps.\nAnswer: -0.00019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is -5240 != -50?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*q**2 - 6805*q.\nAnswer: 5*q*(q - 1361)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*s + 3*s - 4*s**3)*((-3 - 2 + 6)*(2 - 3 + 2) + (-4 + 2 + 3)*(-3 + 4 + 1) + 0 - 2 + 1).\nAnswer: -8*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 7 + -20\/3. Let a = 34168 + -3582254\/105. Let u = a + -360\/7. What is the closest to s in 1\/7, -3, u?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 38202 - 29*w**3 + 38236 - 114674 + 38236.\nAnswer: -29*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: 2242912 - 19.2\nAnswer: 2242892.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7*t**4\/4 + 39*t**3\/4 - 359*t**2\/2 - 975*t + 450 = 0 for t.\nAnswer: -10, -6, 3\/7, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, -4, 7, 13420, -18 in descending order.\nAnswer: 13420, 7, 1, -4, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Express 7*h**2 + 21 - 12 + 83 - 2*h**2 in the form l + t*h + u*h**2 and give u.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 562 and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let h(d) = -d**3 - 121*d**2 + 11814*d + 1432066. Calculate h(-120).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 184259?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let y(k) = 3*k**2 - 11*k - 6. Let o(a) = a**2 - 4*a - 2. Suppose -5*b + 34 = 49. Determine b*y(h) + 8*o(h).\nAnswer: -h**2 + h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let p be ((-4)\/10)\/(2\/20). Let h = 7 + p. What is the derivative of 3*m**3 + 0 + 2*m**3 - h*m**3 + 3 wrt m?\nAnswer: 6*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -100100 + 101010000?\nAnswer: 100101100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 682673499 to the power of 1\/3, to the nearest integer?\nAnswer: 881","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let i(a) = 1336*a + 59013. Give i(-44).\nAnswer: 229","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -460, -1793, -4014, -7123?\nAnswer: -11120","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 6310706339 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 35  (b) 5  (c) -1\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 10 + 1110?\nAnswer: 1120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) -1\/3  (b) 2\/13  (c) 77  (d) 1  (e) -2  (f) 126\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (4\/52)\/1 + (39 - 630323\/16120).\nAnswer: -1\/40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(v) = 197*v + 4. Let y be x(7). Let f = y + 937. Round f to the nearest one hundred.\nAnswer: 2300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 214 to the power of 1\/3, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*p + 2*k - 3*k = 25, 0 = 3*p - k + 23. Let w = 30 + p. What is the smallest common multiple of 36 and w?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 1535967*n**5 + 4*n**3 + 13372662*n**2 - 2*n wrt n.\nAnswer: 92158020*n**2 + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -17 - 101. Let v = g - -232. What is the units digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -26 + 29. Let c(i) be the first derivative of -1 + 2\/21*i**x + 0*i - 1\/7*i**2. Factor c(r).\nAnswer: 2*r*(r - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {t: 16, v: 4}. What is prob of picking 4 t?\nAnswer: 364\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let k(w) = w + 2. Suppose -4*c = 4*y - 3*y - 33, -2*c + 48 = 2*y. Suppose -6*r + y = -3*r. Let j be k(r). Solve 0*g + 3*g - j = 0 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -2.21 - -1.059. Let n = d + 0.051. What is n rounded to 1 decimal place?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-18 - 200\/(-12))\/((-1)\/288). Calculate the highest common divisor of 2256 and b.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ssmlsmysslhssshmssm. What is prob of sequence lys?\nAnswer: 10\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Express (1 + 2 + 12)*(-13*i + i + 34*i)*(10 + 41 - 11) as q + c*i and give c.\nAnswer: 13200","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 749?\nAnswer: 7, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 114 and 38323.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 21 - 42 + 166*s + 21.\nAnswer: 166*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 300 and 72?\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1469123?\nAnswer: 17, 89, 971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*w = -3*m - 6, 0 = 22*m + 96*m + w + 355 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*y - 12 = 4*x, 5*x + y = -55 + 52 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let h(l) = -l. Let w(u) = -u**3 - 4*u**2 + 5*u - 1. Let g be w(-4). Let q(p) = -p**2 - 7*p. Calculate g*h(y) + 3*q(y).\nAnswer: -3*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5 = 2*s - 5. Let b(q) be the third derivative of 1\/12*q**6 - 2*q**2 + q**4 + 3\/5*q**5 + s - 8\/3*q**3 + 0*q. Factor b(r).\nAnswer: 2*(r + 2)**2*(5*r - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 133\/933 + -114691\/222054. Find the common denominator of b and -47\/2.\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 579 or 446?\nAnswer: 446","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -314100 rounded to the nearest ten thousand?\nAnswer: -310000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*s + 4*q - 2756 = 6*q, 2750 = 3*s + 4*q. Suppose -4*d + 5*k = 226 - s, -5*d + 882 = -2*k. Does 9 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2\/21 in 0.1, 7\/6, -5, -4\/7?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-105)\/(-189)*(-4)\/(40\/(-6)).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r(i) be the third derivative of i**7\/70 + 3*i**6\/40 - 5*i**5\/4 + 21*i**4\/8 + 8024*i**2. What is b in r(b) = 0?\nAnswer: -7, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 9eaf3 - de?\nAnswer: 9ea15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 19171454 + -19171509.00000014. Let w = z + 55. Round w to seven dps.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -4.422 plus -0.1?\nAnswer: -4.522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let i(f) = -f**2 + f + 6. Let h be i(-2). Solve -u - u = h for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -264 = -12*k + k. Let a(g) = -1 + 23*g + k*g + 9*g. Let y(j) = -j. Give a(y(m)).\nAnswer: -56*m - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 116, 441, 980, 1733, 2700, 3881?\n\"Answer: 107*r**2 + 4*r + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*y = 2*w + 5, 2*w - 2 = -2*y + 2. Let x = 8 + -7. Is x\/y - 146\/(-6) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11189 = -31*x - 1149. Let n = 403 + x. Solve -4*v - 2*i + 4 = 0, -n = -5*v - i + 6*i for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 22 + -0.142?\nAnswer: 21.858","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let o be ((-2)\/5)\/((-4)\/40). Which is the third smallest value?  (a) -199  (b) o  (c) 4\/5  (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) -0.071  (b) -33\/2  (c) 2  (d) -37  (e) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2152291 is divided by 505.\nAnswer: 486","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -146*s - 4*w = -150*s + 8, 7*w = -s + 18. Let p = 0 + 8. Solve -p = 2*a - s*a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2 in 2, -0.3, 3, 1494, 1\/6?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 241 is divided by 27.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -s = 2*y + 42, -73 - 35 = 2*s - 4*y. Let q = 38 + s. Let t(b) = 5*b**2 + 5. Is t(q) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -25\/16 and -17\/14?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -11959, -23850, -35765, -47716, -59715?\n\"Answer: -2*t**3 - 11877*t - 80","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (7 - 10 - -11) + -1 + 2. Suppose -5*p + 5*c = -1705, -5*p - 12*c = -n*c - 1721. List the prime factors of p.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -5 + 5. Suppose t = d + 2 - 5. Which is the biggest value?  (a) d  (b) 5  (c) -0.05\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 108*c - 205 - 119. Let u(m) be the second derivative of 1\/120*m**6 - 1\/48*m**4 + 0*m**2 - 1\/24*m**c + 1\/80*m**5 - 15*m + 0. Factor u(i).\nAnswer: i*(i - 1)*(i + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: 3 + 1 + -3 + 1 + -11\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -32262 = -534*y + 10458 for y.\nAnswer: 80","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -5 + 9. Let s be 552\/168 - -4 - (6 - -1). Sort s, c, -1, -1\/9.\nAnswer: -1, -1\/9, s, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -31\/14 + 313\/154. Which is the biggest value?  (a) -1\/8  (b) 2\/7  (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*k = -11*k. Let l(o) = -2*o + 59. Is l(k) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(t) be the second derivative of 0*t**3 + 0*t**4 + 0 - 3\/2*t**2 - 1\/5*t**5 - 2*t. What is the first derivative of q(b) wrt b?\nAnswer: -12*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -240 = -3*o + b, 2*b - 80 = 2*o - 3*o. Let v be 4\/20*10*11. Suppose v*p - 17*p - o = 0. What is the greatest common divisor of 128 and p?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -23 - -22.94. Let i = -1.04 - -1.3. Let n = r + i. Which is the second biggest value?  (a) n  (b) 2\/9  (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (90688\/(-4251))\/(4\/(-6)*5*-1).\nAnswer: -32\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c be -9 - -14 - (4 - 0). Solve -2*a - c = -a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(x) = -6*x**3 + 26*x**2 - 31*x + 72. What is k(7)?\nAnswer: -929","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let l(x) = -30*x + 216. Give l(8).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 1875908 greater than or equal to 1875770?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let g(a) = -2376*a**2 + 2*a + 8. Let f be g(4). Round f to the nearest ten thousand.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(f) = 49*f**3 + 296*f**2 - 41*f - 325. What is w(-6)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -3229 - -3232. What is the nearest to -1\/2 in -0.3, c, -11?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence spk when three letters picked without replacement from ssxpkwkxwkksxs.\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let z(n) = n. Let l(g) = -904*g**2 - 17*g - 7. Let m(a) = -113*a**2 - 2*a - 1. Let f(q) = 2*l(q) - 17*m(q). What is z(f(k))?\nAnswer: 113*k**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -12 and 82843?\nAnswer: -994116","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 5 a factor of 561?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-8)\/28)\/((-1)\/7).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*f = -f + 288. Calculate the remainder when 85 is divided by f.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 28326 + -28325. Which is the closest to -9\/4?  (a) m  (b) 4  (c) 0.3  (d) 0.13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -2 + 11 + 31 + (22 - 25) + (0 - 0)\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*b + 11*b + 455812 = 4275969. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 12 = 3*i + 3*h, 4*i - 26 + 2 = 4*h for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 29, 33, 37, 41, 45?\n\"Answer: 4*l + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 5021, 10040, 15059?\n\"Answer: 5019*t + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 1160*h**2 + 718*h.\nAnswer: 2320","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 217 is divided by 78.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1?  (a) -1\/6  (b) -3  (c) -18\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*c + 4*o + 41, -3*c + 2*o + 30 = 7. Solve c*w + 2*b = 5, -2*w - b + 31 = -6*b for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*k - 0*w + 4*w - 24, -3*w - 6 = 0. Let f be (-3)\/1 + (k - -7). List the prime factors of (2 - 2 - -2) + f.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, 2\/5, -0.5, 1\/2 in ascending order.\nAnswer: -0.5, 2\/5, 1\/2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let s(b) = b**3 - 4*b**2 + 2*b - 1. Let h be s(2). Let k = 2 - h. What are the prime factors of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -309278531 <= -309278531?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 4, 0.2, 3, 4\/3?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let k(d) = -674*d - 1. Is k(-1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*p + 12, 84 = -v + 2*v - 5*p. Calculate the highest common factor of v and 296.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2825 to the power of 1\/3, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -77 = -5*n + 88. Let x = 165 - 66. Calculate the greatest common divisor of x and n.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 5*r**5 + 59*r**4 + 14930*r**3 + 198*r**2 - 4013*r + 7.\nAnswer: 300*r**2 + 1416*r + 89580","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -17 + 25. Suppose 3 - t = -z. Let i(x) = -x**2 + 6*x + 4. Let k be i(z). Calculate the highest common factor of k and 72.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-99)\/33)\/((-11)\/(44\/(-8)))*62\/(-3)?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -19?  (a) 107  (b) 0.2  (c) -5  (d) -1217  (e) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 34 - -13?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*x - 4*l = 25, -15 = -2*x - l + 4*l. Is 2 equal to x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(b) = -6*b. Let h(y) be the first derivative of -5*y**4\/24 - 11*y**2 - 61. Let v(n) be the second derivative of h(n). Determine 3*d(q) - 4*v(q).\nAnswer: 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {g: 2, p: 4, c: 8, x: 1}. What is prob of picking 2 p, 1 x, and 1 g?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -488436 divided by 6.\nAnswer: -81406","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 83, 327, 733, 1301, 2031, 2923?\nAnswer: 3977","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*f**5\/5 + 87*f**4\/5 - 912*f**3\/5 + 840*f**2 - 1680*f + 1200 = 0.\nAnswer: 2, 5, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Add -15.39099 and 9.\nAnswer: -6.39099","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 4*(-126)\/1120*24\/((-1200)\/(-125))?\nAnswer: -9\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 1690435438?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -53 + 74. Let j = y + -40. Let i = j - -19.013. Round i to three decimal places.\nAnswer: 0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 11 + -8. Suppose -p - 22 + 10 = 3*x, 2*p + 21 = -5*x. Let a be (x\/9)\/(7\/315). Sort n, 4, a in ascending order.\nAnswer: a, n, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -19*p**3 - 263 + 452 + 16*p**3 - 292 in the form i*p**3 + c + g*p**2 + z*p and give c.\nAnswer: -103","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let g(x) = x**4 - x**3 - x**2 + x - 1. Let t(v) = 256*v**4 - 1181*v**3 + 1164*v**2 - 430*v + 50. Let c(r) = -30*g(r) + 5*t(r). Determine w, given that c(w) = 0.\nAnswer: 2\/5, 7\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(q) = -9*q**3 + 4*q**2 - 5*q - 5. Let j(x) = -x**3 - 5*x**2 + 6*x + 8. Let i be j(-6). Let y(r) = 14*r**3 - 6*r**2 + 8*r + 8. Calculate i*l(t) + 5*y(t).\nAnswer: -2*t**3 + 2*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -c + 2*o - 1 = -0*o, -2*c - 3*o + 12 = 0. Suppose -84*w = -85*w + 3. Let b(u) = -c*u + 9 - 24 + w + 10. Let s(a) = 7*a + 4. Give -13*b(k) - 6*s(k).\nAnswer: -3*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 253 at least as big as 253?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in three fifths of a century?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 8*q - 3*q. Suppose q = 4*i + 12, -5*n - i - 804 = 169. Find the common denominator of -55\/94 and (-4)\/(-3) + n\/42.\nAnswer: 658","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(n) = -37*n. Let m(p) be the second derivative of 49*p**4\/12 - 1680*p + 2. Calculate m(v(d)).\nAnswer: 67081*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let y(u) = u. Let v(a) = 3*a + 1. Let x(c) = v(c) - 4*y(c). Let i(t) = -509*t + 2 - 509*t + 1014*t. Suppose 30 = -9*b - 24. Determine b*x(p) + 2*i(p).\nAnswer: -2*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 47820 and 188.\nAnswer: 2247540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is -1316.230698 rounded to the nearest ten?\nAnswer: -1320","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 143425815?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand 22*j - 22*j + 14*j**5 + (-2 + 1 + 2)*(-3*j**5 - 3*j**5 + 4*j**5).\nAnswer: 12*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*s - 3*k + 4 + 8, -k = 2*s - 4. Suppose b - 138 = -3*h - 2*b, -5*h - 4*b + 226 = s. Does 3 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 13\/(-65) - ((-4)\/(-90))\/2. Which is smaller: 13 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1225723?\nAnswer: 1225723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 1 + 2*g)*(4 - 3 - 3)*(4 - 4 + g**3).\nAnswer: -4*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 316 + -318. Is 21 a factor of n\/((1 + 3)\/1)*-290?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 21636748993 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.22?  (a) 296  (b) -0.3  (c) 1\/41\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 y, 1 v, and 1 j when three letters picked without replacement from jyjyjyjwyjvwvjjyjjjy.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*t = -2*d + 10, -3*d = -4*t - 0*d - 15. What is o in -1\/5*o - 2\/5*o**4 - o**3 - 4\/5*o**2 + t = 0?\nAnswer: -1, -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(g) = -32*g**2 + 2373*g - 906. Calculate t(74).\nAnswer: -536","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 2817 divided by -2817?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, 5, -67, -2.\nAnswer: -67, -4, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 13009603 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (1 + (5 - 4))\/(-1 + -4). Which is the closest to u?  (a) -0.5  (b) -2\/7  (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in 46.98643 milliseconds?\nAnswer: 0.04698643","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 12615 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.59 plus 0.17?\nAnswer: 0.76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 121543 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 4774 and 14539?\nAnswer: 217","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let j(u) = 4*u - 1. Let c(a) = 3*a - 1. Suppose 11*y - 24*y = 65. Calculate y*j(m) + 8*c(m).\nAnswer: 4*m - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 682889 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.1?  (a) -4  (b) 1\/4  (c) 5  (d) -144\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: 36 - 31 - 36\/4\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((a\/(a**(1\/2)*a))\/(a*a**1\/a))\/(a**(-2\/5))**(-6\/13))**(3\/8))**(-2\/7) assuming a is positive.\nAnswer: a**(657\/3640)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -0.54  (b) -0.07  (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let k(t) = 166*t + 4495. What is k(-27)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1851*c**2 - 5551*c**2 + 1853*c**2 + 1847*c**2 - 14*c**3.\nAnswer: -14*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((k*k*k*k\/(k**(-1\/2)*k)*k)\/k)\/k**(-1\/2))**24 assuming k is positive.\nAnswer: k**96","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*i - 3*d = 50 - 257, 4*d = 0. Let h be 217\/3 - (-15)\/(-45). Let m = h + i. Solve m*b = -0*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 2 divided by 22\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 6*v - 7*v + 9. Suppose 6*z - 3 = 3*x + v*z, 0 = z + 4. Let i be (x + -5)*10\/6*7200. What is i rounded to the nearest ten thousand?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Total of 0.2 and 0.08174.\nAnswer: 0.28174","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 0.35 - 11.35. Let l = h + 10.9999974. Round l to six decimal places.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose u + 2539 + 3305 = -5*h, u + 5934 = 5*h. Round u to the nearest one hundred.\nAnswer: -5900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (0*o + 2*o - 7*o)*(231*o + 244*o - 1 - 438*o) to h + u*o**2 + a*o and give u.\nAnswer: -185","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 7\/(-2)*4\/(-7). What is the derivative of j*f**4 + 1 - 6*f**2 + 6*f**2 wrt f?\nAnswer: 8*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 173 is divided by 25.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 325 and 91?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -21*k + 24*k + 22*i - 19*i - 69, k + 160 = -3*k + 5*i for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {y: 2, v: 16}. Give prob of sequence yvvy.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let m(k) = k**3 + 4*k**2 - 6*k - 1. Let a be m(-5). Let n be -1*(8\/(-12) + (-2)\/(-3)). Suppose -a*r + 2*r = n. Put 5, -3, r in decreasing order.\nAnswer: 5, r, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p**(-3)\/(p*p**(-1\/6)*p*p))**(-9\/4)*(p**4*p*p*p**0)**(1\/24) assuming p is positive.\nAnswer: p**(107\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 648181086?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is -95bb96 (base 14) in base 8?\nAnswer: -23244410","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y(a) = -13*a. Let h(b) = 10*b. Let f(k) = -29*k. Let d(o) = 6*f(o) + 17*h(o). Give d(y(q)).\nAnswer: 52*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Put 10136, -5, 5869 in decreasing order.\nAnswer: 10136, 5869, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 336279967.\nAnswer: 359, 936713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(90)\/(sqrt(16)\/sqrt(8)))\/((sqrt(225) - (sqrt(225) - (sqrt(225) - (sqrt(225) + 5*sqrt(225)) - sqrt(225))) - sqrt(9)) + sqrt(9) + sqrt(9)).\nAnswer: -sqrt(5)\/29","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {h: 1, p: 4, y: 1, z: 2, a: 2}. Give prob of picking 2 z and 1 a.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(800)*-6)\/(sqrt(90)*-4)*-5 - (4*(-1*sqrt(500)*1 + 1*sqrt(500) + 4))**2.\nAnswer: -256 - 10*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from bvbvbfvvvtbbfbbtvfvt. Give prob of picking 2 v and 1 f.\nAnswer: 21\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1650081 is divided by 149925.\nAnswer: 906","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 128\/3 + -515\/12. Which is the smallest value?  (a) 22  (b) 0.11  (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4\/3, -4, 2 in increasing order.\nAnswer: -4, -4\/3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let i(f) = 3 - 4 + 6*f**2 + f - 5*f**2. Let o(k) = 2*k**2 + 10*k. Let u(p) = i(p) - o(p). Is u(-8) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(y) = -175696*y**2 + 288. Let n(h) = 9247*h**2 - 15. What is -5*a(w) - 96*n(w)?\nAnswer: -9232*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 1.6 - 2. Let w = 68 + -68. Which is the biggest value?  (a) f  (b) -3  (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -34 + 33.9. Which is the closest to 0.06?  (a) 2  (b) 0.3  (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(i) = i**3 + 7*i**2 - i - 4. Let m be j(-7). Suppose v - m*v = -3*d + 63, 2*d + 2*v - 32 = 0. Let f = d + -15. Solve f*a = a + 15 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.05 and -27395.\nAnswer: 1369.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 11187 - 11179. What is the smallest common multiple of o and 1096?\nAnswer: 1096","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(d) = -d**2 + 6*d + 17. Let s be z(9). Let a be (57 - 2)*6\/s. Calculate the lowest common multiple of 3 and 6\/9*-2 + (-836)\/a.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*sqrt(16)*-6)\/(1*sqrt(648) - sqrt(648) - sqrt(8)).\nAnswer: -6*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 3246 - 3246.2. Which is the nearest to q?  (a) -63  (b) -4\/5  (c) 3  (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(b) = 2*b**2 + 3*b - 5. Let y = 2689 + -2686. Let k(u) = u**3 + 5*u**2 + 8*u - 14. Determine y*k(d) - 8*t(d).\nAnswer: 3*d**3 - d**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let s(q) = -2*q**3 + 9*q**2 + 6*q - 3. Let t be s(5). Suppose -4*y - 2*w = -11740, 0*y = t*y - w - 5862. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 132732696, 265465391, 398198086?\nAnswer: 530930781","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 12 (base 15) in base 2?\nAnswer: 10001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 2a4 (base 11) in base 14?\nAnswer: 1b6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 839.3795 rounded to the nearest 10?\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 176 and 72.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:28 AM and 1:14 PM?\nAnswer: 706","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let b(v) be the third derivative of -5*v**8\/63 - 68*v**7\/105 - 349*v**6\/360 + 5*v**5\/36 + 3*v**4\/4 + 4*v**3\/9 - 33*v**2. Determine a, given that b(a) = 0.\nAnswer: -4, -1, -1\/4, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(k) = -k + 19. Let v be u(9). What is the highest common divisor of v and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -1018095677*j**4 - 317386731*j.\nAnswer: -12217148124*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -5.59 + 5.99. What is the closest to -2 in -3\/4, x, 3, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -81  (b) 2  (c) -4  (d) 32  (e) 1\/2  (f) -0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -145 = 3*y + 2*y. Let w = -9 - y. Let u be (-25)\/w*(-8)\/(-20). Which is the nearest to u?  (a) -5  (b) -2\/5  (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many days are there in 2856.1422 hours?\nAnswer: 119.005925","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 411771 and 87?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence mmov when four letters picked without replacement from {v: 6, o: 2, p: 1, m: 2}?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.002316 to three decimal places.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 2812913247 to the power of 1\/2, to the nearest integer?\nAnswer: 53037","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 1\/11, 1, 3\/5, 4\/7?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Express 3276 - 248*h - 3276 + (-1 - 1 + 3)*(-1 + 1 + 2*h) as z + r*h and give r.\nAnswer: -246","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*f = -120 + 2290. What is the units digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(o) = -o**2 - 635*o + 33256. Give u(54).\nAnswer: -3950","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*s - 8 + 53 = 0. Let g be 2\/3*s\/10*-28. Let v(w) = 1 + 8*w + g*w - 18*w. Give v(1).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine d so that -d**2\/4 + 255087591*d\/4 + 63771898 = 0.\nAnswer: -1, 255087592","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify i**(1\/8)\/((i\/(i\/i**(-41)))\/i) assuming i is positive.\nAnswer: i**(337\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of (31*2\/(-6))\/(16\/(-288))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -148*z + 348 = -144*z. Suppose -57 - z = 48*h. What is the third biggest value in -11.9, -2, h?\nAnswer: -11.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(700) + 4 - sqrt(700))*6.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Factor 208*g**3 + 235*g**3 + 85*g**2 + 900 + 480*g - 438*g**3.\nAnswer: 5*(g + 5)*(g + 6)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (1 + -4)*(-2 - 7384\/24). Let r = f + -538. Does 44 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 3759889374 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Work out -8.3 * 304.08.\nAnswer: -2523.864","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 618170 and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is -68007 != -68033?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Does 61 divide 10893?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: ((-2)\/3)\/(-2) + 13496\/(-1446)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 4 + -5 + -4 + 3.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 2 + 0. What is the remainder when (0 + -2)\/(-1) + 2 is divided by a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 514*c + 1279*c + 1021*c + 464*c + 373*c as v + y*c and give y.\nAnswer: 3651","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g*g*g*g*g\/g**(-2\/31)*g)**34\/(g**(-14)\/g*g*g**(-18)) assuming g is positive.\nAnswer: g**(7384\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*u + 14*u = 4060. What is the tens digit of u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 464216.\nAnswer: 2, 58027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let p(u) = 4*u + 1. Suppose 2*v + 3*v + 10 = 0. Let m be p(v). Is (-12)\/m + (-2)\/(-7) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(y) be the third derivative of 3*y**4\/2 + 3*y**2. Let q(c) = -4. Let a(r) = -r - 18. Let d(t) = -2*a(t) + 9*q(t). Give d(z(o)).\nAnswer: 72*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is -2520 divided by -120?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let g(h) = -h**2 - 5*h - 2. Let n be g(0). Calculate the lowest common multiple of 244 and (n - (-60)\/6)*1*2.\nAnswer: 976","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 563373603?\nAnswer: 3, 13, 1605053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is -253877 times -416?\nAnswer: 105612832","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let w(n) be the second derivative of -n**5\/20 - 2*n**4\/3 + 2*n**3\/3 - n**2\/2 - 4342*n. Determine w(0).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 158944541?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 317*-4386.\nAnswer: -1390362","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is -602 less than -0.26?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let z(j) = -5*j**2 + 17*j - 65. Let r(q) = q**2 - 4*q + 16. Let x(w) = -9*r(w) - 2*z(w). Let i be x(-6). Solve -5*m + a = -i*m - 6, -3*a - 8 = 5*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*c + 4*c - 22. Let k = 16 - c. Solve -3*v - 2 = -k for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 4 divided by -2559598\nAnswer: -2\/1279799","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let z(p) be the first derivative of 61*p**2\/2 + 171*p - 29. Does 13 divide z(6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(t) = t + 7. Let s(d) = -2*d - 15. Suppose -3 - 7 = -c. Let b be ((-12)\/c)\/((-2)\/10). Give b*s(i) + 13*k(i).\nAnswer: i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence vvvv when four letters picked without replacement from dvdvvv?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let j(c) = 2*c**2 + c - 4. Let u be j(-7). Let w(p) = 59*p + 1090. Let f be w(-17). Is u bigger than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 0 greater than 68897\/10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*y + 8 = -56. Let p = -6 + y. Solve -3*n - 5*c + p = -1, 4*n = -4*c + 28 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(c) = -4*c**2 + 46*c + 6. Give n(12).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let b(m) = 7*m**2 + 5*m - 4. Is b(-3) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0298 take away 301674876769?\nAnswer: -301674876768.9702","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 0.3527 - 0.1527. What is the third biggest value in d, -5, -132?\nAnswer: -132","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -1106 - -1101.57. Let h = y - -0.38. Let v = -0.05 - h. Which is the second smallest value?  (a) v  (b) 2  (c) -4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -1523\/549 + 54\/61. Find the common denominator of b and 29\/10.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*s = 10, -7*s + 1684 = -4*p - 3*s. Let z = -410 - p. Let r(j) = -8*j**2 - 8*j - 7. Let k(t) = 17*t**2 + 17*t + 15. Give z*k(l) + 13*r(l).\nAnswer: -2*l**2 - 2*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 18493*j = -5*z + 18494*j - 32, -19*z = 2*j + 81 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let j(g) = 2*g**2 - 11*g - 7. Let y = 311 + -290. Calculate the smallest common multiple of j(8) and y.\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-276116)\/72 - (6\/(-3))\/4. Let l = -3841 - j. What is the common denominator of l and -64\/9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -122 = 9*j - 11*j. Suppose -4*u - b = -0*u - j, 5*b = -3*u + 67. What are the prime factors of u?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-18)\/(-3) - 2\/(-2). Suppose -u + 13 = 3*y, 3*y = -0*u - 4*u + n. Which is the second biggest value?  (a) 0.1  (b) -1\/3  (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 34\/(-234) + 3*12\/162. Are -1 and p non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 120*s = 108*s + 36. Solve -4*y - 2*v + 5 = 11, -5*y = s*v + 10 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 33382910 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 14525002?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 2030 and 870?\nAnswer: 6090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -580*s - 39 + 43 - 4 + 579*s + 10*s**2 + 20*s**2.\nAnswer: 30*s**2 - s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 0 - -17. Let u(k) = -k**3 - k**2 - k + 9. What is the remainder when g is divided by u(0)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 376*f = 349*f + 320112. What is the hundreds digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ks when two letters picked without replacement from vdksvkna?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 7977609.\nAnswer: 3, 149, 661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -1 - 0.2. Let x = -296.249 + 295. Let o = x - n. Round o to two dps.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*m + 2*y - 828, 15 - 21 = -2*y. What is the hundreds digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 939?\nAnswer: 3, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -23430 - 1?\nAnswer: -23431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is (-1500)\/1600*2\/5?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*w**4 + 28*w**3 + 48*w**2 - 16*w - 64 = 0. Calculate w.\nAnswer: -4, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-2486*(2 + 9))\/(-13). Let r = 2102 - q. Let x = 2725\/11 + -247. Calculate the common denominator of x and r.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 2\/203 or 80?\nAnswer: 2\/203","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*x = -4*x + 64. Suppose 4*f = j - 6*j - x, 0 = -5*f + 5*j + 25. Let o(a) = 3*a**3 + f + 5*a**2 + 2*a - 4*a**3 - 6*a. Give o(4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(y) = -y**3 + 7*y**2 + 5*y + 51. Calculate the remainder when 101 is divided by c(0).\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -52 = -4*f - 0*f. Let t = 10 + -8. Let j be 39 + t\/(-4)*0. What is the greatest common divisor of f and j?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: -33 * -23\nAnswer: 759","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 2579 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 5\/29958 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -2963, -5948, -8951, -11978, -15035, -18128, -21263?\nAnswer: -24446","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -13\/3?  (a) 0.03  (b) 660  (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let m(d) = d**2 + 4*d - 1. Let s(q) = -12*q**2 + 32*q - 14. Let c(y) = 24*m(y) - 3*s(y). Let x(r) = -17*r**2 - 5. Determine -5*c(k) - 18*x(k).\nAnswer: 6*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 6 - 7. Let y be p\/2 + -2 + 2. Let j = -65\/2 + 451\/14. Which is the closest to y?  (a) 3\/2  (b) j  (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/40 of a kilogram in grams?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 25 a factor of (8 + -29)*(1 - 52\/6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -608 + 297. Let g = f + 163. Let u = 147.9999941 + g. Round u to 6 decimal places.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-2*(-21)\/(-182))\/((-15)\/(-5)).\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -112*p + 10976 + 2\/7*p**2 = 0. Calculate p.\nAnswer: 196","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 0 + -122010?\nAnswer: -122010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 c when three letters picked without replacement from {l: 5, c: 3, x: 1}.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 559 and 143?\nAnswer: 6149","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 7100485589 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence qpkr when four letters picked without replacement from {k: 1, u: 1, r: 1, p: 1, q: 1}.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2870.\nAnswer: 2, 5, 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let n(x) = -7*x - 26. Let m be n(-6). Does 2 divide 2\/(52\/m - 3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -63*i - 2065 = -122*i. Solve -92*q = -99*q - i for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 2\/1645, 23, -183?\nAnswer: 23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*s + 400 = 4*u, u + 91 = 4*s - 229. What is the greatest common divisor of s and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*j = -0 + 9. Suppose 5*m - m = -24. Let s(x) = -x**2 - 7*x + 5. Calculate the least common multiple of s(m) and j.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: 5332116 (base 7) to base 12\nAnswer: 272249","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v(o) = 2*o**3 - 4*o**2 - 12*o + 20. Let s be v(4). Suppose -8*c + s*c = 196. Calculate the greatest common factor of 21 and c.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(f) = 648*f. Let q(w) = -308*w - 306*w - 300*w + 1217*w - 302*w. What is q(h(v))?\nAnswer: 648*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -13 - -13. Let m = -26 + 53\/2. Let x = 400\/611 - 38\/47. What is the nearest to z in x, -5, m?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-8)\/91*(-6214)\/2868.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-4)\/15*(13 + 792\/(-55)). Let j = m + -1\/25. Let f = 11\/3 - 157\/42. Sort -2, j, f in ascending order.\nAnswer: -2, f, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -60 + 240. Round g to the nearest one hundred.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -652752\/11 smaller than -59341?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 6873537 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 s and 1 a when two letters picked without replacement from {s: 3, l: 6, a: 4, n: 2}?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 13604950.\nAnswer: 2, 5, 19, 14321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 87 a factor of 8932?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*w = -2*n + 3*n + 7, 3*w = -2*n for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -3\/2  (b) -0.11  (c) 3\/4  (d) 2\/9  (e) -66  (f) 3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange h**2 - 9*h**4 + 29*h**3 - 28*h**3 + 6*h**4 to the form s*h + c + b*h**2 + o*h**4 + l*h**3 and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -44 - -46. Suppose 4*a + r*d - 296 = 0, 2*d + 3*d = -5*a + 370. Is 19 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*sqrt(32))\/(sqrt(12)\/sqrt(12) + sqrt(4)).\nAnswer: 8*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let q(k) = -2*k**3 - 4*k**2 - 3*k. Let n(b) = -5*b**3 - 11*b**2 - 8*b. Let a = 51 + -62. What is a*q(r) + 4*n(r)?\nAnswer: 2*r**3 + r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1068006211?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many nanometers are there in 5\/4 of a micrometer?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 80 - 403\/5. Let o = -4952 + 4951.9. Let r = 0.8 + -1.9. What is the closest to o in b, -1, r?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(l) = -4*l. Let z(q) = -101*q**2. Determine z(a(u)).\nAnswer: -1616*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 4321981 is divided by 138.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -222*u - 4046 - 1695 = 47*u + 13896 for u.\nAnswer: -73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let l be ((-65)\/15 + 5)\/(-12 - (-168)\/18). Let q be 0\/(3\/((-6)\/4)). Which is the nearest to l?  (a) 2\/37  (b) q  (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 14808818 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-62)\/(-15) + (-140)\/1050.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-2*q + 2*q + 2*q**3)*(-3 + 2 - 11) + (-q - q + q)*(-545 + 545 - 29*q**2) as u + r*q**3 + s*q**2 + m*q and give r.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in 0, -67, 4, -7\/5, -3\/5, 2\/9?\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -115*b**2*h*k**3 - 3*b**2*h + 6*h*k**2 - 1474*h*k + h - 2*k**3 wrt k.\nAnswer: -690*b**2*h*k + 12*h - 12*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 15.1519 or 86?\nAnswer: 15.1519","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 5350 is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 24\/16*(-15)\/9*6\/3?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -6 + 11. Let z be m\/(-2)*(-2)\/(-10). Let i(w) = 390*w - 8970. Let c be i(23). Which is smaller: z or c?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 29 is divided by ((-12)\/7 - -2)*(-70)\/(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose o = 2*t + 191, 1081 = 5*o - 2*t + 110. Let q = o + -101. Let n = -61 + q. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 187120354 to the power of 1\/2, to the nearest integer?\nAnswer: 13679","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*r = 4*r - 24. Let p be (-14)\/(-8) + 3\/r. Let c be 3 - ((-12)\/p)\/(-3). Let g(n) = 1. Let w(x) = -x**3 + x + 3. Determine c*w(z) - 3*g(z).\nAnswer: -z**3 + z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*d**4 - 3*d**4 + 3*d**4 + (0*d**3 - d**3 - d**3)*(-d - 3*d + 0*d) - d**4 - 3*d**3 + 3*d**3.\nAnswer: 5*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 4\/(30\/(-15) + 4). Let p = 1 - 1. Does 31 divide 28 + p + (z - 1) + 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 357?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -6*a + 12 - 0 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1338885?\nAnswer: 3, 5, 29753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 20 = o + 4*o. Solve u - 2 = -o for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 490 = -0*c + 5*c. Let l = -92 + c. What is the remainder when 16 is divided by l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*d + 9*d - 334400 + 75955. What is the hundreds digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 4\/(-3)*(-5 - 1). Let n be g\/(-20) - (-404)\/10. What is the greatest common factor of n and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 + 2*h - 3)*(0 - h + 0)*(-104 + 89 + h + 113).\nAnswer: -2*h**3 - 196*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 37847 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let l(c) = 0 + 8*c + 1 + 0. Calculate the remainder when l(3) is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(a) = -a**3 + 2*a**2 + 5*a - 4. Let j be ((-20)\/16)\/((-2)\/8). Let r be 2\/(j*(-2)\/(-15)). Suppose r*c + 2*o = -c + 6, 0 = c + 5*o + 12. Calculate v(c).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(g) = -g**3 + 3*g**2 + 3*g + 4. Let k be r(4). Let z = -1466 - -1466.3. Let x = 15\/28 + -2\/7. What is the closest to k in -5, x, z?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4*(-6*2*(sqrt(24)*4*1)\/((2*sqrt(1152) - sqrt(1152)) + sqrt(1152) - sqrt(1152)))**2.\nAnswer: -192","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -2\/9  (b) -2\/11  (c) -40\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 105231465?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 442057233, 884114469, 1326171705?\nAnswer: 1768228941","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r(d) = 53*d - 106*d + 52*d. Let i = 44 + -41. Let y(p) = 9*p + i*p + 2*p. Give r(y(h)).\nAnswer: -14*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Express (2*a**2 - 3*a**2 - 6*a**2)*(-a + 0*a + 0*a) + a**3 + a**3 + 4*a**3 as o + w*a**3 + s*a**2 + t*a and give w.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-60)\/(-54)*3*6. Let c = p - 17. Solve 4*t = c*d + 35, -2*d + 0*t - 15 = -t for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -81\/78549848 and -19\/416?\nAnswer: 314199392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 + 2\/(4\/42*7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*c - 20, -3*y = -4*y - 3*c + 3. Calculate the highest common factor of 30 and y.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(r) = -r - 7. Let x(s) = -2*s - 14. Let h(g) = 5*d(g) - 3*x(g). Let i be h(-5). Solve -4*c = 2 + i for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -9.1 * 1.\nAnswer: -9.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -203321 + 1014021?\nAnswer: 310200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-28)\/(-4) - 1*(-1 + -1). Suppose -1697 = -i*k + 1282. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -2.02 + -0.08. Let n = -3 - -1. Let c = n - p. What is the closest to -2\/3 in -0.2, -1, c?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(r) = r**2 - 3*r. Let p be d(1). Let q be (-8)\/p - (1 - 15852\/(-42)). Let a = -375 - q. Sort a, -1\/7, -0.5.\nAnswer: a, -0.5, -1\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1078 is divided by 107.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -198*w = -57*w + 48*w - 1512 for w.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -2*f + 4*n - 6, 5*f = 30*f - n + 124 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose d - 3280 = -319*x + 315*x, -5*x + 4*d + 4079 = 0. What is the highest common divisor of x and 45?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 699.\nAnswer: 3, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -14869\/6 - -4955\/2. Do n and -3\/1939 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 1673 - 1645. Solve -8 = 4*q - 5*o, -24*q - 2*o = -v*q + 4 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*m - 5 = -2*z, -3*z + 3*m - 10 + 7 = 0. Let w = 3.4 + -3. Which is the second biggest value?  (a) z  (b) -0.3  (c) w  (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 17682 and 10?\nAnswer: 88410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 17*l + 40*l - 102 = 183. Let f(s) = -10*s + 6. Let x(g) = 10*g - 5. Determine l*x(k) + 4*f(k).\nAnswer: 10*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 82.56 + -82.61. What is the fourth smallest value in -2\/7, -4\/5, 2, n, 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 2016 and 45369984.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1 in 5\/9, -0.9, -3, 2551?\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 41, 53, 71, 95, 125, 161, 203?\n\"Answer: 3*b**2 + 3*b + 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (7 - 6) + (0 - -1004). Calculate the highest common factor of q and 30.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (20\/(-6))\/(8\/(-12)). Suppose 3*i - g + 15 = 0, -i + f*g - 23 = i. Let c = i + 1. Sort 1, c, 2 in ascending order.\nAnswer: c, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((t*t\/((t\/(t*t\/((t*t**1)\/t)))\/t))**(3\/22)*t\/t**(-5\/4)*t**(-2\/15))\/(t*t**6*t**(-9))**(-9) assuming t is positive.\nAnswer: t**(-10213\/660)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 17154109*n**6 - 3718096*n**2 - 2 wrt n.\nAnswer: 2058493080*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose h = 2*h - 1. Suppose -4*t = -3*g + t - 3, 0 = g - 2*t + h. Is g greater than or equal to 1\/10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -7 + 11. Let t be (i\/3)\/4*24. Suppose 4*l = t*l + 84800000. What is l rounded to the nearest 1000000?\nAnswer: -21000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1\/2 in -15, 5, -2, -1, 156\/7?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 146, 142, 138, 134?\nAnswer: 130","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q(x) = -x**2 + 220*x + 1438. What is q(-6)?\nAnswer: 82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let n(g) be the third derivative of 43*g**6\/260 + 127*g**5\/390 - g**4\/78 + 6*g**2 + 25*g. Suppose n(k) = 0. What is k?\nAnswer: -1, 0, 2\/129","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 20 a factor of 2161?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 999?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(440)\/(sqrt(1440) + sqrt(1440) + sqrt(1440)*3 + sqrt(1440) - sqrt(10)))\/(((sqrt(24)*1)\/sqrt(6) - sqrt(4)) + sqrt(8)\/sqrt(8)))**2.\nAnswer: 44\/5041","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 190725 and 75?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let u(r) = r**3 - 9*r**2 + 6*r + 10. Let s be u(8). What is the tens digit of (2 + -4)*33\/s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -13 + 12944?\nAnswer: 12931","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-9 - ((7 - 17) + -21)) + 3.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 4.38 + -14.38. What is the third biggest value in p, -16, 3?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be ((-6)\/12 - 0) + (-75)\/30. Let d(u) = 13*u**2 + u - 5. Let j(g) = -13*g**2 - g + 4. Give a*d(b) - 4*j(b).\nAnswer: 13*b**2 + b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3*(-5 + sqrt(17) + (sqrt(17) - -1*sqrt(17))) + sqrt(272) + sqrt(272)*-3 + 1 + 2)**2 + -5.\nAnswer: -612*sqrt(17) + 5232","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let n be ((-60)\/70)\/(3\/(-14)). Let u be -1*(n + -2) + 5. Solve -2*z = 1 + u for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -273*g - 32 = -281*g. Suppose i + g*l - 20 = 0, -3*i + 4*l = -0*l - 60. Solve 3*m + m - i = 4*j, -4*j = -2*m + 12 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 2025 and 10935.\nAnswer: 54675","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: -4*119\nAnswer: -476","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let z(u) = 4*u**3 + u**2 - 1. Let y be z(-1). Let f(d) = 3*d - 72 + 257 - 61 - 63 - 67. Let k(v) = 8*v - 17. Calculate y*k(n) + 11*f(n).\nAnswer: n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-57 + 57 - 19*h)*(-9 + 6 - 11) + 0*h - h + 0*h - 2*h - 3*h + 4*h + (-7 + 3 + 2)*(2*h + 2*h - 3*h) - 1 + 1 - 2*h + 2 - h - 2.\nAnswer: 259*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*p + 5*f = 1124, 16 = 3*f + f. Suppose 8*y - 6320 = p. What is the hundreds digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1 + 5*((-3*sqrt(1375))\/sqrt(5))**2.\nAnswer: 12374","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Round -1.204 to 2 dps.\nAnswer: -1.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 4366 and 0.2?\nAnswer: 4365.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -4035 (base 9) in base 6?\nAnswer: -21352","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 13 - -22?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 429406?\nAnswer: 2, 53, 4051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let v(x) = -196*x - 544. What is the remainder when 346 is divided by v(-3)?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 0.114 - 0.014. What is the closest to h in 1\/2, -2\/3, 3?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(y) = -6*y**2 - 31*y - 23. Determine j(-4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 623659.5 rounded to the nearest 1000?\nAnswer: 624000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.1 in -7403, -1, -5, 3.2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 71*h + 520*h = -371*h + 2886. Solve 10\/21*s**h + 0 - 2\/21*s**4 - 6\/7*s - 2\/7*s**2 = 0.\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*n - 13*c = -14*c + 2838, 4*c - 1426 = -n. Suppose -2*t - n + 9304 = 0. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 16504613 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence zu when two letters picked without replacement from {u: 3, r: 1, p: 2, z: 2, d: 2, s: 4}.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 37 - 110\/3. Let w = 2307 - 2502.1. Let z = w - -195. Sort v, z, 0.4, -0.02 in increasing order.\nAnswer: z, -0.02, v, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 2 - -1. Suppose -m = 3*r - 2, -i*r + 4*m + 4 + 18 = 0. Factor 4*k - 19*k**r + 3 - k - 4*k - 15*k**3.\nAnswer: -(k + 1)*(3*k - 1)*(5*k + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in -0.36, -3, -0.5, 4\/5, 0.5, 38?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 2973 + -2473. What is the greatest common divisor of h and 180?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -24, -18, 12, 78, 192, 366, 612, 942?\n\"Answer: 2*h**3 - 8*h - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose u**4\/2 - 25*u**3\/2 + 91*u**2 - 256*u + 240 = 0. What is u?\nAnswer: 2, 4, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let s(h) be the first derivative of h**6\/15 - h**4\/2 - 4*h + 3. Let c(k) be the first derivative of s(k). Find the third derivative of c(d) wrt d.\nAnswer: 48*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(h) = -h**2 + 2*h - h - 5*h + 3. Let n be (-11)\/(11\/3) - -10. Suppose -3*c - n - 18 = -2*b, -20 = 2*c - 2*b. Determine p(c).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 2\/((-4)\/10)*9\/(-5). Suppose -j*p = 3*p. Do p and 1\/13 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 135 is divided by 35.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -64\/60361371 and 35\/186.\nAnswer: 120722742","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let v(t) = 4*t - 20. Let w be v(6). Let d(c) = -6*c + 3 - 3 - w + 3. Determine d(-3).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 0.4  (b) 0.2  (c) 254\/53\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let d(b) = b**2 - 1311*b - 47105. Let s be d(-35). Solve 5*q**2 + 0 + 4*q**4 - 17\/2*q**3 + 0*q - 1\/2*q**s = 0 for q.\nAnswer: 0, 1, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(q) = 33*q**2 - 23*q**2 - 5 - 11*q**2. Let s(k) = -k**2 - 7. Give -7*l(b) + 5*s(b).\nAnswer: 2*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let p(n) = n**2 + 2*n + 4. Let h(r) = 5 + 0 + 5*r - 3 + r**2. Calculate the remainder when p(-2) is divided by h(-5).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -18144 divided by 252.\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1\/4 in 21, 623, -44?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ggcccgc. What is prob of picking 3 c?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (17\/(-170)*25)\/(1*-5).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 42825\/(-2250) - (-19)\/1?\nAnswer: -1\/30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((g\/g**(-24))\/g)**(3\/20)\/((g*(g**14\/g)\/g)\/g*g**(-2\/109)))**(6\/17) assuming g is positive.\nAnswer: g**(-27408\/9265)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.6?  (a) 80  (b) -4  (c) 4\/2261\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let a(m) = m**3 - 7*m**2 - 9*m + 12. Let x be a(8). Suppose 0*f - 2*f = 0, 0 = -4*j + x*f + 4. Let y(l) = l + 6 + l - j. What is y(-4)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 s when three letters picked without replacement from snrnscs.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 4 + 0 + -3 + 3?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 27aca87 - -4?\nAnswer: 27aca8b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 2*i**3 + 29262219*i**2 - 910006720*i.\nAnswer: 12*i + 58524438","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let b(r) = r**3 + 4*r**2 + 5. Let d = 0 + -4. Let x be d\/(-14) + 60\/(-14). Let y be -2*2\/x - 5. Give b(y).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 3*z**5 - z**4 + 83*z + 1 wrt z.\nAnswer: 60*z**3 - 12*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -10318\/9 - -1151. Let m = -199 - -1063. What is the common denominator of (-3)\/8 - (-15588)\/m and d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4739947 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-5)\/((((-20)\/1)\/4)\/4). Suppose -24 = -3*f + l*i, -7*f - 3*i = -3*f - 32. Solve t = -5 + f for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -495960 = 18105*t + 178208 - 94808 for t.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Does 74 divide 14134?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let s(i) = -2*i - 1. Let n(l) = l**3 + l**2 + 5*l + 1. Calculate 2*n(r) + 5*s(r).\nAnswer: 2*r**3 + 2*r**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -2193.2263987 + 2365.226273. Let z = p + -172. What is z rounded to 5 dps?\nAnswer: -0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5 divided by -502127?\nAnswer: -5\/502127","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let b(c) = c + 6. Determine b(4).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let x(m) = -m**2 + 4*m + 2. Let d be x(4). Let a be -7 + 8 + (1 - d). Let t(w) = w + 8. Let f be t(-3). Solve a = z - 0 + f for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (1 + -6 - (-18 + (2 - -1)) - 0) + -45.\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -42 = -u + 5*t + 3, -110 = -5*u + 2*t. Let k = -2 + -1. Let v be 2\/k*((-288)\/(-104) + -3). Sort 2, v, u in ascending order.\nAnswer: v, 2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0 - 3 + 3 + 270845*x + 270604*x - 541448*x.\nAnswer: x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3 + (-8 - -2) - -6.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q(v) be the first derivative of 4*v**2 + 21 + 4\/3*v**3 + 4*v. Determine l, given that q(l) = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 267*w - 1197 = 246*w. Calculate the remainder when 6831 is divided by w.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 499220 and 70532.\nAnswer: 916","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 20 = -0*x - 5*x. Suppose 25 = -31*w + 26*w. Which is bigger: x or w?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (10\/25)\/(2\/10) - 1. What is the first derivative of -9*i - i - 49 - 3*i - g wrt i?\nAnswer: -13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(u) = -2*u**3 - 23*u**2 - 46*u + 15. Let j = -526 + 514. What are the prime factors of r(j)?\nAnswer: 3, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -27 - ((17 - 87) + 26)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 37, -876, -3843, -10046, -20667?\nAnswer: -36888","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: 3232333 (base 4) to base 15\nAnswer: 47ea","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert -32 (base 4) to base 16.\nAnswer: -e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u(m) be the first derivative of -m**7\/6 - 7*m**3\/6 - 4*m + 5. Let a(k) be the first derivative of u(k). Find the second derivative of a(p) wrt p.\nAnswer: -140*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 32  (b) -0.37622  (c) 2\/25\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 1\/(((-1)\/(-106))\/(-1)). Suppose 7*x + 141 = 78. Let l = x - z. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -353*l**5 + 6764*l**5 - 2777*l**5 + (4*l**5 - 2*l**5 - l**5)*(0 - 1 + 0).\nAnswer: 3633*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let o(c) = c**2 + c - 4. Suppose 13 - 1 = 4*h. Calculate o(h).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1129 = -1066*y + 2069. Let g = -1 + 3. Solve -4*b = -0*b - 4*t + 20, y*b = -g*t for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 2485.176 and -37.\nAnswer: -91951.512","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 22 - 12. Let w = -9 + j. What is the units digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2017*q + 53611 + 50994 = 52093 - 44304 for q.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {p: 2, b: 6}. Give prob of picking 2 b and 2 p.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 3\/(-27) + (-71)\/9. Let i = p + 4. Let r be -6*(i - 2\/4). Solve 3*q = 5*u + 13, 0 = -3*q - 2*u - r + 5 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1 in 23\/4, -1, -0.2, 1\/35, 0.3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.000909066 to four dps.\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let o(y) = -y**3 - 65*y**2 - 276*y - 9490. Determine o(-63).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 147836 is divided by 147823?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let 497*n**3\/2 - 625*n**2\/2 + 62*n + 2 = 0. Calculate n.\nAnswer: -2\/71, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let x(d) = 1 + 6*d - 3 - d + d. Suppose p + 1 = 0, -4*k + p = 5*p - 4. What are the prime factors of x(k)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 618 (base 15) to base 13.\nAnswer: 818","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -40 - -40. Suppose s = 5*w - o + 67, -3*w + 8*w = -5*o - 85. Let a(k) = k**2 + 10*k + 45. What are the prime factors of a(w)?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 571\/28 + -99\/7. Let q(b) be the second derivative of g*b**2 - 12*b + 0 + 1\/40*b**5 + 35\/12*b**3 + 11\/24*b**4. Suppose q(f) = 0. Calculate f.\nAnswer: -5, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let m(z) be the third derivative of z**5\/80 - 1165*z**4\/16 + 1357225*z**3\/8 - z**2 + 53*z - 5. Factor m(b).\nAnswer: 3*(b - 1165)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 61472916 a multiple of 43?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Convert 7831.399 millennia to months.\nAnswer: 93976788","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 18109 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: What comes next: 455, 1054, 1655, 2258?\nAnswer: 2863","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 + 0 - 2*t)*(2 - 5 + 1) + (-2*t + 4 - 4)*(0 + 6 + 1).\nAnswer: -10*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -171, -363, -573, -801?\n\"Answer: -9*f**2 - 165*f + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 867493711 to the power of 1\/9, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 143521.\nAnswer: 7, 29, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let k(w) = 206*w**2 - 33*w - 77. What is the tens digit of k(-11)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 0 less than or equal to -4\/795?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Sort 8694, -1\/3, -30\/31 in descending order.\nAnswer: 8694, -1\/3, -30\/31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((c*c**(-2\/13))\/c**8)\/(c**(3\/4)*c*c*(c\/(c**(4\/3)*c))\/c*c))**41 assuming c is positive.\nAnswer: c**(-54817\/156)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 19816.\nAnswer: 2, 2477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:05 PM and 12:03 AM?\nAnswer: 538","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2491505880.\nAnswer: 2, 3, 5, 317, 65497","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.608513 weeks in hours?\nAnswer: 102.230184","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*b**2\/3 - 8580*b - 205600\/3.\nAnswer: -5*(b + 8)*(b + 5140)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1*(5*((sqrt(432)*-1 - sqrt(432)) + sqrt(432)))\/(sqrt(48)\/(2*sqrt(768)))*5.\nAnswer: 2400*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(448) - (sqrt(448) + 0)) + sqrt(847)*-2)**2 - (sqrt(49) - -1*sqrt(49)*2)\/(sqrt(28)*1 - sqrt(7)).\nAnswer: -3*sqrt(7) + 3388","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -246793 + 246793.30000016. Let g = 0.3 - q. What is g rounded to seven dps?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 1.201 + -0.201. Which is the nearest to y?  (a) -2  (b) 1  (c) -0.2  (d) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 7 and (-6)\/15*(-11 + 1)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-22 - -8) + (-712)\/(-51).\nAnswer: -2\/51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from rlrekerrreakrer. What is prob of sequence eer?\nAnswer: 2\/65","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let g(l) be the third derivative of l**6\/80 + 13*l**5\/120 + l**4\/3 + l**3\/3 + 7*l**2. Let g(b) = 0. What is b?\nAnswer: -2, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Total of -2.92 and -1258.\nAnswer: -1260.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.1 in -21, -0.1, 0.5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: 9145.508665 + 37\nAnswer: 9182.508665","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*k = -k - 200000. Round k to the nearest one million.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 478543.6 to the nearest one hundred thousand.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {j: 6, l: 5, e: 1, v: 3, c: 3}. What is prob of sequence vj?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 + 2*b + 2)*(4*b**2 + 3*b**2 - 6*b**2 + (-2 - 4 + 4)*(-3*b**2 + 2*b**2 + 3*b**2) + 4 + 2*b**2 - 9 + 13*b**2).\nAnswer: 24*b**3 - 10*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -0.5503 + 172.9303. What is n rounded to the nearest one hundred?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -13578*k**2 + 13585*k.\nAnswer: -27156","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*h - 1 + 9 = 0. Let z = 109 + -77. Calculate the remainder when z is divided by (18\/h + 1)*2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(r) = 6*r**2 - 55. Let b(v) = -11184*v. What is f(b(c))?\nAnswer: 750491136*c**2 - 55","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.488397 centimeters in kilometers?\nAnswer: 0.00000488397","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 24662969 and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:57 PM and 10:00 PM?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let m(p) = 2*p**3 + 24*p**2 - 3*p - 5. Let i(h) = -14*h**2 + h + 1. Let g be i(1). Let k be m(g). Solve 3*t - 46 = -k for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(d) = -d**3 - 2*d**2 + 5*d + 6. Let w(u) = -u**2 + 3*u + 5. Let i be w(4). Let m = i + -5. Does 9 divide r(m)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*x + 55 = -5*n - 11, -3*x - 57 = 5*n. Let m(u) = u**2 - 8*u - 158. Calculate m(x).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in x**3 + 75 - 3*x**3 + 0*x**3.\nAnswer: -2*x**3 + 75","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 6 and 244074864.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 0\/(4\/26 - (-112)\/(-52)). Suppose s = -0*z - 11*z. Solve -2*r = 2*b + 4, z*r + 12 = -3*b + 3*r for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.285 - -2.\nAnswer: 2.285","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in k + 2*k + 3*k - 7*k.\nAnswer: -k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Add -40.67 and 414605424.\nAnswer: 414605383.33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -179 - -183. Suppose 2*g - 9*o + 5 = -h*o, -8 = -g - o. Solve -3*z = g + 7 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((q\/(q\/((q\/q**(1\/3))\/q)*q))\/q*q*q*(q**(-2\/57)\/q)\/q)\/(q**12\/q**(-4\/5)) assuming q is positive.\nAnswer: q**(-1441\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let x(q) be the third derivative of 5*q**4\/12 - 83*q**3\/3 + 223*q**2. What is the lowest common multiple of x(17) and 78?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 2 and 31092?\nAnswer: 31092","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let o(w) be the second derivative of w**7\/7560 - w**6\/540 + w**5\/90 - w**4\/12 + 2*w. Let t(s) be the third derivative of o(s). Factor t(y).\nAnswer: (y - 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-6)\/4*32\/(-24). Suppose -i*p = -6*p + 44. Differentiate 0*l**2 - 7*l**2 + 5 - 7 - p wrt l.\nAnswer: -14*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*y - 3*y = -4*h + 18, 0 = -5*y - 5*h + 35. Let t = y + -5. Find the third derivative of -308*g**4 + 308*g**4 - 22*g**t - g**2 + 0*g**5 wrt g.\nAnswer: -1320*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -72213 at most as big as -2147?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.120135 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 31832802 and 3330?\nAnswer: 666","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-33)\/(-9) - 4\/6. Let c(j) = 2*j**v - 2*j + j + j. Let h(d) = d**3. Determine 2*c(f) - 3*h(f).\nAnswer: f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Does 17 divide 459?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is -85595 smaller than -85600?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 33*g - 25*g + 71*g + 702 = -3564 for g.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*d - 4218 - 1926 = 3*r, 0 = 3*d - 5*r - 6134. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -51, -72, -93, -114, -135?\nAnswer: -156","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d(y) = -16 - y**2 + y + 0*y**2 + 4 + 9*y. Suppose -4*u + 3*u - 4*x = -18, -3*u + 75 = 5*x. What is the smallest common multiple of u and d(6)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.2564 to two decimal places.\nAnswer: 0.26","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: 55.0218*9\nAnswer: 495.1962","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 8188591 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -5086396 divided by 196.\nAnswer: -25951","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of n**5 + 404*n**4 - 11*n**3 + 525*n + 3.\nAnswer: 20*n**3 + 4848*n**2 - 66*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Add -5733 and -25611.\nAnswer: -31344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Add 1.9 and 0.009.\nAnswer: 1.909","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5 + sqrt(704) + (sqrt(704) - sqrt(704)*5) + 1 - -2*((sqrt(11) - (sqrt(176) + sqrt(176) + -3)) + -4))**2.\nAnswer: 456*sqrt(11) + 15920","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let v(n) be the second derivative of 2*n**6\/15 - 17*n**3\/6 + 21*n. Find the second derivative of v(i) wrt i.\nAnswer: 48*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -2 - (-108 - (-46 + -15))\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -4 + -46?\nAnswer: -4a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15 = 2*b - 193. What is the units digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 13*f - 9*f - 3*f - 37*f**2 as i*f**2 + v*f + q and give i.\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 4235 and 22165605.\nAnswer: 385","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-7)\/196)\/(8\/16).\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 291 minutes after 11:24 AM?\nAnswer: 4:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:08 AM and 11:54 AM?\nAnswer: 646","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -150*z**2 - 10*z**4 - 195*z**4 + 607*z**4 - z**5 - 181*z**4 wrt z?\nAnswer: -60*z**2 + 5304*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*o - 8*o = 12*o. Solve o = -3*n - 0*n + 21 for n.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 17 - 34 + 30*z + 26 wrt z.\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -14633 greater than 67?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 2290*d**4 + 1219*d**3 + 5986612 wrt d?\nAnswer: 9160*d**3 + 3657*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -82 or -2553?\nAnswer: -82","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 4, -15, -2\/3, 1\/215?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 5 - 0\/(3 - 1). Let s = l + 7. What are the prime factors of s?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -118605*i**3*m + 47*i**3 + i + 4453*m - 3128 wrt i.\nAnswer: -711630*i*m + 282*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.001184608577 to seven dps.\nAnswer: -0.0011846","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -3544, -3547, -3550, -3553, -3556?\n\"Answer: -3*g - 3541","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.2173 rounded to one decimal place?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -4372, -4576, -4916, -5392?\n\"Answer: -68*i**2 - 4304","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 330\/139 at least as big as 18\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 7 + -10. Let p = 37\/36 + -5\/4. Let f(i) = 30*i - 27. Let z be f(1). What is the third biggest value in m, -4, p, z?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 28967 - 28966.88. Which is bigger: k or -775?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3 a factor of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let g(d) = -d. Let f be 4\/(16\/(-4) + 2). Let h(l) = -4*l. Let t(r) = r. Let v(m) = f*t(m) - h(m). Calculate v(g(y)).\nAnswer: -2*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (200\/55)\/(-5)*(-88 - -66)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 238 - 487. Let f be 1 + i\/(-27) - 3. Let j = -7 + f. Which is smaller: j or 1\/2?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -5 and 167488.\nAnswer: -837440","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, 0.5, -3, 1\/5, 9, 129 in decreasing order.\nAnswer: 129, 9, 4, 0.5, 1\/5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Sum -2725 and 13.\nAnswer: -2712","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 4368947, 17475830, 39320635, 69903362, 109224011, 157282582?\nAnswer: 214079075","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u(q) = -322*q**2. Let g(j) = -3*j - 11. Determine u(g(y)).\nAnswer: -2898*y**2 - 21252*y - 38962","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -54455, -108908, -163361, -217814?\n\"Answer: -54453*y - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 22116.\nAnswer: 2, 3, 19, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 147\/2448 + (8\/18)\/((-306)\/27)?\nAnswer: 1\/48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-348)\/(-406))\/((5 + 3)*(-1)\/7)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 38409191 to the nearest integer?\nAnswer: 6198","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 1164 + -1151. Let a(c) = -c**3 - c**2 + c - 4. Let n be a(-3). Which is smaller: n or z?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 4*c**3 + 0*c**3 + 5*c**3 + (-4*c**2 + 3*c**2 - c**2)*(0*c + 8*c + 13*c).\nAnswer: -33*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 5.08 - 0.08. Let j be (15 + (-147)\/9)\/((-2)\/((-18)\/(-21))). Which is the third biggest value?  (a) -4  (b) j  (c) 1\/17  (d) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -19168, -19169, -19170, -19171, -19172, -19173?\n\"Answer: -n - 19167","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 13602755 + 13?\nAnswer: 13602770","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 1162 and 49?\nAnswer: 8134","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -23832444*l**2*s + l**2 + 3*l*s - 6478*l + 4*s + 6 wrt l.\nAnswer: -47664888*s + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -5647 - -5837. What is the lowest common multiple of u and 380?\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -59881, -119897, -180043, -240313, -300701, -361201, -421807?\nAnswer: -482513","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j(p) = 203*p**2 - 102*p**2 - 100*p**2. Let q(g) = 19*g**2. Calculate j(q(s)).\nAnswer: 361*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let w(y) = -2*y**2 - 40*y - 14. Determine w(-20).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 17589724 bigger than 17589697?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence uuju when four letters picked without replacement from iuuhjzh.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 657 minutes after 10:57 AM?\nAnswer: 9:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 91295.572 + -91127. Let q = i + -169. Let j = -0.028 - q. Which is the third smallest value?  (a) 0.004  (b) j  (c) -2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -42*b + 15*b + 25*b + 131 = 47, 0 = -3*d + 5*b - 222 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: (14\/4)\/(((-78)\/(-520))\/(30\/100))\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 66 + -294. Is 27 a factor of 1 + 6\/(-8) + (-243219)\/i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3906580259 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 105868819 to the power of 1\/8, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 5375 is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -0.07 + -0.23. Let t = -15 - -17. Suppose 5*n + 0*j - t*j + 8 = 0, 5*n + 2*j - 8 = 0. What is the closest to n in -5, 1\/4, c?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(r) = 6*r**2 - 17*r + 45. Let b be y(4). Suppose b = 2*h - 83. What is the remainder when h is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 0.4, 4, -0.5, -0.1, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -535*b**5 + 661*b**2?\nAnswer: -32100*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*k + 60 = -81. Let s = -51 - k. Let z(l) = -l**3 - 4*l**2 + 4*l + 1. Determine z(s).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 h, 1 y, and 1 j when three letters picked without replacement from {x: 2, h: 4, j: 1, y: 4}?\nAnswer: 16\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 125\/78234 and 19\/3959844?\nAnswer: 51477972","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 32 a factor of 50495674?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let p be -5*(-6)\/(-75) - 51\/(-15). Find the third derivative of -4*l + 3*l**2 - 19*l**3 + 8*l**p - 12*l**3 - 3*l**3 wrt l.\nAnswer: -156","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 55*g - 3*g + 31 - 32*g - 18*g - 34.\nAnswer: 2*g - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (10\/20)\/((-1)\/14) - (-7191)\/1026.\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(b) = 15*b**2 + 327*b + 281. Give q(-20).\nAnswer: -259","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 16\/10*10\/4. Let z be (-24)\/(-54) - (-70)\/(-90). Which is the closest to -1?  (a) 3  (b) z  (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -3 in -0.4, 6\/137, 0.2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-54)\/729 - (-2)\/((-162)\/399)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 13*x + 44 = 3153*v - 3137*v, 3*v = 5*x - 2 for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 83*o - 36*o - 10*o**3 - 22*o - 23*o - 29*o.\nAnswer: -10*o**3 - 27*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: 1 + 6 + -92 + 71\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2\/5 in -1\/4, -4, 1, -118.747?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 627 minutes before 3:22 AM?\nAnswer: 4:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand -7*j**4 - 7*j**4 + 5*j**4 + (21*j - 133*j + j)*(2 + 3 - 2)*(j**2 - 2*j**3 - j**2).\nAnswer: 657*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 9.344878mm in meters?\nAnswer: 0.009344878","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 10439\/9 - 10436\/9. Suppose -j = 3 + 1. What is the fourth smallest value in 2\/5, c, j, 2\/13?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 474703262 a multiple of 4191?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 p and 3 m when four letters picked without replacement from {m: 3, p: 4}?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 228\/(-9)*(-240 + 234)*1\/(-2).\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -3 - -378?\nAnswer: 375","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 45151 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 10341277?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 19\/423 and 27\/517.\nAnswer: 4653","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -77 or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 11 + -15. Let k(y) = 36*y - 53. Let w(a) = -109*a + 158. Let u(s) = b*w(s) - 11*k(s). Differentiate u(f) wrt f.\nAnswer: 40","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 74380 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: Find the third derivative of 71 - 379*q**5 + 379*q**5 - 456*q**6 + 3*q**2 + 1 wrt q.\nAnswer: -54720*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 24780 and 681660?\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-1)\/2*144\/(-108)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1871 = 5*l + 779. Let z = -270 - l. Let w be z\/8*4\/5. Solve -w + 6 = 4*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {g: 2, v: 1, n: 2, f: 1, k: 2}. Give prob of picking 2 g.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f**(-3\/8)*f*f*f*f**17\/f*f*f*(f**(-10\/13))**28)**(-1\/60) assuming f is positive.\nAnswer: f**(19\/1248)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -1 + 2080?\nAnswer: 207d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((h\/h**(-25)*h*h\/h**(-2))**(-3\/2))**32)**(-38) assuming h is positive.\nAnswer: h**54720","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Sort -13, -2, 2, -3.\nAnswer: -13, -3, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ruff when four letters picked without replacement from {r: 1, f: 1, k: 2, u: 2}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -0.8 + 0.4. What is the nearest to 0.8 in -0.3, -1\/4, g?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1281 divided by 427.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((r**(-7)\/r)**(8\/11)\/(r**(-4\/9)*r*r**(-4)))**(-1\/8) assuming r is positive.\nAnswer: r**(235\/792)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 1916608 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 8310 + -8192. Suppose 3*q - q + 118 = 0. Let g = q + z. Calculate the remainder when g is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 9 and 1687404?\nAnswer: 5062212","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 4\/5, 38, 8, -2\/3, 0.1, -1?\nAnswer: 38","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let c(m) = 4*m**2 + 18*m - 7. Let d(r) = -2*r**2 - 9*r + 4. Let q(u) = -4*c(u) - 7*d(u). What is the second derivative of q(t) wrt t?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 19 a factor of 263416?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let v(c) be the second derivative of -c**5\/270 - 2*c**4\/27 - 16*c**3\/27 + c**2 - 2*c. Let m(y) be the first derivative of v(y). Solve m(s) = 0.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-507 - -489) + 0 + 13?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*k - 4*k = -35. Let m be (-2)\/(-4)*k*-4. Suppose 0 = -c - 3*c + 16. Solve m = c*x - 6 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -3 + 13127?\nAnswer: 13124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: -11010100100110000 (base 2) to base 10\nAnswer: -108848","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"}
{"text":"Question: Let f(o) = -3*o**2 + 2. Suppose -80 = -5*t - 5*l, -l - 15 = 2*l. Let k(n) = -10*n**2 + 7. Determine t*f(q) - 6*k(q).\nAnswer: -3*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 11*g - 9 = -31 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -10 + 12. Suppose -l - 4*l = -r*j - 16, -5*j + 30 = 5*l. Let v = 3 + j. Solve 5*c = -3*i - 7, v*c - 2*i = -4*i - 8 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 3\/4, 3, 4.64, -2.6763?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 248617 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -46.68 rounded to the nearest one hundred?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 95, 86, 75, 62, 47?\n\"Answer: -f**2 - 6*f + 102","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 132*x - 2 + 81*x - 96*x + 244*x.\nAnswer: 361*x - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-59 - -983)\/66 + 442\/(-39)?\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -107112 by 5.\nAnswer: -107112\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is i in i**2 - 2378*i + 1340280 = 0?\nAnswer: 918, 1460","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: -12150205 (base 6) to base 7\nAnswer: -3202655","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-300)\/40)\/(-5)*(-4)\/((33\/(-88))\/3)?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 770 and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15 = -5*y + 15. Let t(m) = m - 8. Let b(s) = 2*s - 15. Let h(o) = 6*b(o) - 13*t(o). Calculate the smallest common multiple of h(-6) and y.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(m) = 9*m**2 + 61*m + 3. Let x(r) = 20*r**2 + 122*r + 7. Determine 7*t(d) - 3*x(d).\nAnswer: 3*d**2 + 61*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let a(t) be the second derivative of t**4\/12 + 5*t**3\/3 + 11*t**2\/2 + 3*t. Let f be a(-9). What is the closest to f in 0, -0.1, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -1970 from -26.\nAnswer: 1944","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: -17aa82 (base 11) to base 4\nAnswer: -1003322010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g(j) = -21*j**2 - 2*j + 1. Let i be g(1). Let c = i + 32. What is the units digit of (-3)\/2*c\/(-3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -3922 - -8073. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(d) = -68*d - 2. Let v(t) = 10299*t - 821. Let x(k) = 5*p(k) + v(k). What is the derivative of x(g) wrt g?\nAnswer: 9959","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 711269, 1423894, 2136519, 2849144, 3561769, 4274394?\nAnswer: 4987019","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 35324593 and 837.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-2 - 22) + 22 + (13 - 1) + 13.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.1?  (a) 0.08  (b) -0.4  (c) -3  (d) -22  (e) -11.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 1392 a factor of 130232736?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {k: 3, z: 4, f: 1}. What is prob of sequence kf?\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Convert 6.5283408ns to days.\nAnswer: 0.0000000000000755595","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor 8*r**2\/3 - r.\nAnswer: r*(8*r - 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 6882.612 rounded to the nearest 10?\nAnswer: 6880","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-216)\/30)\/((-10)\/25)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*o**4\/5 - 4*o**3 - 48*o**2\/5 + 4*o + 10 = 0. Calculate o.\nAnswer: -5, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 1250407 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -94 - (3 + -40 + 36) - 12.\nAnswer: -105","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h(o) = -6*o**3 + 92*o**2 - 27*o - 43. What is h(15)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 7771, 15535, 23299, 31063?\n\"Answer: 7764*y + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 499, 522, 549, 580, 615, 654?\n\"Answer: 2*h**2 + 17*h + 480","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: 2 * 0.07\nAnswer: 0.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Express 299*l**2 + 14724*l - 2*l**3 - 14724*l + 3 + 3 in the form y + s*l**3 + m*l**2 + d*l and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 177364836 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 37 - 18. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:58 AM and 4:04 AM?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {m: 1, l: 8, k: 6}. Give prob of sequence klk.\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let g(u) = 286*u**5 + 3*u**3 + 3*u**2 + u. Let v(t) = -2*t**5 - t**3 - t**2. Let j(p) = g(p) + 3*v(p). What is the second derivative of j(n) wrt n?\nAnswer: 5600*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 56823.78l in millilitres?\nAnswer: 56823780","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h(p) = -8*p + 6*p + 9802 - 9802. Let t(q) = 1297*q. Give t(h(n)).\nAnswer: -2594*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 10975834 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (0 - -3) + -1 + -3. Let k be 1 + 2 + 1\/z. Solve 3*t + 5 = k*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 5867 + -197. Let b = p + -87. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(q) be the second derivative of -2*q**6\/15 + q**5 - 3*q**4 + 14*q**3\/3 - 4*q**2 + 9*q. Solve k(w) = 0 for w.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -178*w - 584*w**2 + 178*w + 584*w**2 + 18*w**3.\nAnswer: 18*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let c(k) = k**3 - 9*k**2 + 10*k + 7. Determine c(8).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let z(u) = -u**2 + 18*u - 23. Let q be z(12). Differentiate -87 - 5 + 15*d + 23 - 3*d**2 - q wrt d.\nAnswer: -6*d + 15","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -61 by -9.\nAnswer: 61\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -17 - -16. Let b(l) = -7*l**2 + 3*l - 4. Let y(o) = 7*o**2 - 2*o + 3. Let f(c) = 3*b(c) + 4*y(c). Give f(n).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*d = -4*c - 68, -3*c + 2*d = -0*d + 47. Let i = c - -17. Sort i, -1, -3 in descending order.\nAnswer: i, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (3\/(6\/4))\/((-6)\/(-12)). Solve 4*y + b + 12 = 0, 4*b = -6*y + c*y - 6 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -79\/135 and 53\/980.\nAnswer: 26460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is -46885 + -180.58?\nAnswer: -47065.58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 43\/13640 and 16\/651.\nAnswer: 286440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.042499 * 0.064.\nAnswer: -0.002719936","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 165725, 165745, 165779, 165827, 165889, 165965?\n\"Answer: 7*r**2 - r + 165719","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 38773 and 1624.\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:41 PM and 8:31 AM?\nAnswer: 710","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 35 - -1?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -15159.8 + 11941. Let q = 2978 + x. Round q to the nearest 10.\nAnswer: -240","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(x) = -43*x. Let j(w) be the third derivative of w**4\/12 - 25*w**2. Give b(j(g)).\nAnswer: -86*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-209 + 136 - 42)*(-6 + 2 + 3)*(0*g**3 + 3*g**3 + 7*g**3).\nAnswer: 1150*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let i(v) = 2*v**3 - 3*v**2 - 2*v - 2. Let b be i(3). Let n = 2906 + -2867. Let t(l) = 18*l**2 + b*l**2 - n*l**2. Let g(a) = 13*a**2 + a. Give g(t(y)).\nAnswer: 52*y**4 - 2*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 78360, 313129, 704412, 1252209, 1956520, 2817345, 3834684?\n\"Answer: 78257*k**2 - 2*k + 105","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -48715, -97434, -146157, -194884, -243615, -292350?\nAnswer: -341089","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, -54, 14, -3, 2, 4 in descending order.\nAnswer: 14, 4, 2, -3, -4, -54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 10487.37 + -10415. Round w to the nearest integer.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 231 + -229. Suppose -7*f + 15 = -i*f. Solve f*w = -0 - 9 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*y - 470 + 449 = 0 for y.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 8668 is divided by 442.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: -3114034 (base 6) to base 3\nAnswer: -21121122211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -21693\/10 or -176?\nAnswer: -176","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from uuuupuqqqi. Give prob of picking 2 u.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -102 + 1110?\nAnswer: 1001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.3, 16, -2, 2139, -0.6.\nAnswer: -2, -0.6, -0.3, 16, 2139","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Put 25, -3, -2356, 10, 6 in descending order.\nAnswer: 25, 10, 6, -3, -2356","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 332?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 410141140 - 1210?\nAnswer: 410134430","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -4\/3 in -0.09, 0.5, -0.3, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 20*q - 16*q + 12 = 0. Which is the nearest to 0?  (a) -4\/3  (b) 2  (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -25 = -5*i + 35. Suppose 4*f - 6*f - i = 0. Let o = 13 + f. Calculate the remainder when o is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 314, 613, 884, 1127, 1342, 1529, 1688?\nAnswer: 1819","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.23, 3, -1\/2, 0.01 in increasing order.\nAnswer: -1\/2, 0.01, 0.23, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*d + 93 - 33. Suppose 2*b - 2*r - 14 = 0, 4*b + 12 = 2*r - 6*r. Solve -d = -a - b*a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(k) = -25*k + 17. Let j(d) = -6*d + 4. Let n(b) = -9*j(b) + 2*m(b). Is 12 a factor of n(6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(n) = -n**3 + 7*n**2 + n - 2. Let u be y(7). Suppose 3*m + 2*m = -u*f + 185, 0 = -5*f - m + 165. What is the remainder when f is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 178 a factor of 46649413?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: 21*42\/(-66150)*-10\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u(w) = -w**3 + 10*w**2 + 6*w + 3. Let z = 3539 + -3529. Determine u(z).\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -4\/3159189 not equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 69 + -67. Find the second derivative of -f**5 - s*f - 12*f**5 - 21*f wrt f.\nAnswer: -260*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 30626 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 57429649 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*t + 4*t = -16. Suppose -2*z - z = 18. Let u be (-46)\/14 - z\/21. Sort t, u, 1 in decreasing order.\nAnswer: 1, u, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 6901 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is (1 + 1 + 2 - -1) + -188 + 190?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -d = -2*a - 0 - 3, -5*a = -5*d + 5 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3*((sqrt(320) + (sqrt(320) - -5*3*sqrt(320)) - sqrt(320)) + (sqrt(320) - (-3 + sqrt(320))) + -1 + 2 + -1 + -3 + sqrt(320) + -1))**2.\nAnswer: -2448*sqrt(5) + 832329","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (k**2 + 3*k**2 - 2*k**2)*(11 - 2 + 0*k**2 - 2*k**2).\nAnswer: -4*k**4 + 18*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 19\/4 of a litre in millilitres?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*u**5\/9 - 592*u**4\/9 - 21296*u**3\/9 + 45592*u**2\/9 + 7100*u\/3 - 5000 = 0. What is u?\nAnswer: -75, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 65 and 39?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 547\/6 + -181\/2. Let i(w) = -w. Let b be i(-3). Sort b, s, -0.4.\nAnswer: -0.4, s, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*b + 4*s = -36, b = -0*b + 3*s + 1. List the prime factors of b.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, 1, 3\/8, 17 in descending order.\nAnswer: 17, 1, 3\/8, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 302*z - 5630 = 108 for z.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is -7.5 plus -163.702404599?\nAnswer: -171.202404599","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5 + 3*(2 + sqrt(1700)))**2 + -5 + 1.\nAnswer: 660*sqrt(17) + 15417","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: 130 (base 6) to base 12\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 1634657 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 120 + 209 = -47*z. Let i(k) = -k**3 - 5*k**2 + 14*k. Let q be i(z). Solve 5*n - 4*y - 6 = 4*n, -5*y - 10 = q for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.21?  (a) 7\/10  (b) -2  (c) -136156\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {u: 1, v: 2, n: 3, o: 4, i: 1, b: 4}. What is prob of picking 1 n and 3 b?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ma when two letters picked without replacement from mmmmmmammma?\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -55 = -5*n + 5. Let b be (-4)\/(-18) + 29\/(-9). What is the units digit of n + b*(-2 + 3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 10831614791 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in seven tenths of a litre?\nAnswer: 700","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 9\/16 and 17\/3872.\nAnswer: 3872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let o(c) = 2. Let g(v) = -v + 49. What is g(j) + 6*o(j)?\nAnswer: -j + 61","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -18 - -26. Let g = -29 + 45. Calculate the lowest common multiple of g and f.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -11011100 (base 2) in base 15?\nAnswer: -ea","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 20968 and 6607541.\nAnswer: 52860328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 1692979 and 5637.\nAnswer: 5078937","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 210432 and 576?\nAnswer: 631296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/5 of a milligram in micrograms?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort 7\/18, -5, -0.5, 3 in ascending order.\nAnswer: -5, -0.5, 7\/18, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 39 - 33. Suppose -i*f - 1903 = -8317. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1*((5 + -2 + ((sqrt(88)*-1)\/sqrt(11))\/sqrt(4))**2 + 0)*-4.\nAnswer: -44 + 24*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 (base 3) in base 6?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 a and 2 h when four letters picked without replacement from {h: 3, a: 8}.\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -65340*z**3 + 32623*z**3 + 32701*z**3.\nAnswer: -16*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 0.17 + 0.0212. Let h = -0.19 + v. Round h to 3 decimal places.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*r - 120 = 96. What is the remainder when r is divided by -155*9*17\/(-765)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -1 + 3. Let z(f) = -3*f**3 - 3*f**2 - 4*f - 2. Let n be (4 - 1)\/((-6)\/4). Calculate the lowest common multiple of u and z(n).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in 17\/2 of a gram?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2742 is divided by 303.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 25979 - 7362. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -18065 divided by -5.\nAnswer: 3613","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 0.738328 from -0.2.\nAnswer: -0.938328","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {s: 2, h: 2, q: 9}. Give prob of picking 2 q, 1 h, and 1 s.\nAnswer: 144\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((5 - 6 + 0)*(-3*d + d + 3*d) + (-3 + 0 - 4)*(-2*d + d + 2*d))*(-2*d**2 + 2*d**2 - d**2).\nAnswer: 8*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is ca + -3?\nAnswer: c7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.046 plus 145?\nAnswer: 144.954","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(288) + 0)**2 + -5 + -1*(sqrt(288) + 3) + ((-4*(1*sqrt(144) + sqrt(144)) - sqrt(144))\/(sqrt(8) + -6*2*sqrt(8)))**2.\nAnswer: -12*sqrt(2) + 35338\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -335 + 665 + 3*n**2 - 635.\nAnswer: 3*n**2 - 305","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 18866 + -7426. What is the tens digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(c) = 102999*c**2 + 3*c + 4. Let w be o(-1). Round w to the nearest 10000.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -3290\/9 less than or equal to -367?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -214 = -3*l + r, 6*r = -l + 3*r + 68. Let k = l - 57. What is the highest common factor of 112 and k?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence lll when three letters picked without replacement from {l: 18, a: 1}?\nAnswer: 16\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 11 + 0\/((-25)\/5). Let f = a + -6. Suppose -f*b - 4*x = 45999980, 2*b - 12850648 = 5*x - 31250673. Round b to the nearest one million.\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be -1 + -3 - (-4 - -1). Let h(t) = -t**3 + 6*t**2 + 6. Let f be h(6). Is 49 - (m + f + -3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: 943*-38.61\nAnswer: -36409.23","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 - 6583805390502?\nAnswer: -6583805390500","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2 + sqrt(54)\/sqrt(2).\nAnswer: -2 + 3*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Put -1, 17, -2, -7, -4 in decreasing order.\nAnswer: 17, -1, -2, -4, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from asspyayppsyyaayya. What is prob of sequence yy?\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-2)\/(-6))\/(24\/16)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i(d) = -d**3 - 26*d**2 + 7*d + 9. Let h be i(-21). Let p = h - -5867. Let n = p + -1818. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1036*i**2 + 1968*i**2 - 825*i**2 + 2427*i**2 + 2347*i**2)*(-3*i + 3*i - 2*i).\nAnswer: -9762*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4 + (sqrt(2736) + (sqrt(2736) + -2)*-4)**2 + -5 - (3 + sqrt(76)\/(sqrt(12)\/sqrt(3)) + sqrt(171)*2 + -3)**2.\nAnswer: -576*sqrt(19) + 23756","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 522 - 522.11. What is the third biggest value in p, 1\/2, -0.1?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 33 (base 12) in base 3?\nAnswer: 1110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x(r) = -25*r - 31. What is the hundreds digit of x(-9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {h: 10, i: 9}. Give prob of sequence ii.\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.046 - -32537951271.\nAnswer: 32537951270.954","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 26865 and 755865?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12*o - 15*o + 6 = 0. Let a be (-4)\/o + 0 + -4 + 8. Solve -g - 8 = -4*g - b, -5*g + 14 = a*b for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 192.9 + -193. Which is the smallest value?  (a) -59\/3  (b) y  (c) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-1)\/1 + 0 + 1. Suppose 1034 = t + 1032. Solve -t*j + 0*j - 10 = s for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -431.011 + 1.011. Let t = 429.999919 + l. Round t to five decimal places.\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*c - 8 = 5*w - 6*w, w - 2*c = 2. Suppose 78*v - 35 = 73*v. What is the remainder when v is divided by 2 + 0 - (0 + w)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*m**3 - 4 + 4 + (m**3 + m**3 + 0*m**3)*(0 - 3 + 5) + (-2*m + 2*m - m)*(-63*m**2 + 19*m**2 - 34*m**2)*(4 - 5 + 3).\nAnswer: 158*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -p - 121 - 78 = -2*f - 251, 4*p + 3*f = 186 for p.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -209\/6 - -35. Let r(u) be the second derivative of u + 0*u**2 - 1\/30*u**6 + 1\/12*u**4 + 0 - 1\/20*u**5 + p*u**3. Determine h, given that r(h) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -58.44 + 59. Let h = w + -0.56000064. What is h rounded to seven dps?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((d**(-1))**(-2\/89)\/(d\/(d*d**(3\/7)\/d)*d**4))**(1\/81) assuming d is positive.\nAnswer: d**(-2834\/50463)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 2117?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 272606 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 297*t - 150*t - 1815*t**3 - 147*t.\nAnswer: -1815*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let l(a) = 9*a**2 - 1. Let i(n) = -3833*n**2 - 445*n + 3. Let o(s) = i(s) + 2*l(s). Find the second derivative of o(v) wrt v.\nAnswer: -7630","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(g) = 8 - 794*g + 5 + 795*g. Let b be u(11). Is (180\/b)\/((-9)\/(-6) + -1) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -234774, -939057, -2112862, -3756189, -5869038, -8451409, -11503302?\n\"Answer: -234761*l**2 - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -158*y**3\/17 - 30*y**2\/17 + 158*y\/17 + 30\/17 = 0. What is y?\nAnswer: -1, -15\/79, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let c(g) = 4*g - 14. Let a be c(6). Solve -3*z + a = 4*h, h + 3*z + 18 = 4*h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*j - 16 = -2*z, 3*j - j = -2*z + 10. Let k = 18719 - 18720. Put 0, k, -5, j in descending order.\nAnswer: j, 0, k, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-5)\/(-60)*44 - (2*-5)\/(-2). What is the fourth biggest value in -0.3, k, 2\/17, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.025353 to 3 dps.\nAnswer: -0.025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 26*t**3 + 23*t**3 - 32*t**2 - 1 - 47*t**3 + 2*t + t to s + x*t**3 + m*t + r*t**2 and give r.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2 = 6*p - 4. Let n(h) = -h**2 - 2*h + 1. Determine n(p).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(w) = -96*w - 412. Calculate the lowest common multiple of 44 and i(-6).\nAnswer: 1804","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {k: 8, m: 1, t: 7, v: 4}. What is prob of picking 2 v and 2 t?\nAnswer: 42\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1750797442?\nAnswer: 2, 53, 863, 19139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let u(f) = f**2 + 10*f - 63. Let l(o) = o**2 - 15*o - 31. Let q be l(16). Let p be u(q). Calculate the greatest common factor of p and 48.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 136 + -140. Let o = 21 + j. Which is smaller: o or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: -193 divided by 37\nAnswer: -193\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: -13774022 (base 9) to base 7\nAnswer: -112064141","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Product of -4 and 4263.5.\nAnswer: -17054","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -723, -8.8, 0.1, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 559478428?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((p\/(p\/(p\/p**(-9))))\/(p**(-2\/19)\/p))\/(p**(-9\/2)\/p**(1\/5)) assuming p is positive.\nAnswer: p**(3003\/190)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from cicii. Give prob of picking 3 i.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 453 minutes after 5:22 AM?\nAnswer: 12:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let l(i) = 2*i + 2*i - i**3 + 7*i**2 + i - 10*i - 2. Calculate the remainder when 11 is divided by l(6).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 17 a factor of 898?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1848 is divided by 908?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:15 AM and 3:16 PM?\nAnswer: 421","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let g(y) = -y**2 + 9*y + 24. Let m be g(0). Let q(n) = -15*n**2 - 5*n - 4. Let j(z) = 2*z**2 + 2*z - 1. Let r(k) = m*j(k) + 3*q(k). Factor r(a).\nAnswer: 3*(a - 1)*(a + 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1 in -0.2, 15, -1\/9, -2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*i - 3*w, -5*i + w - 3*w = -19. Suppose -9 = -i*y - 0*y. Suppose c = -0*c - y. Sort -4, 4, c in increasing order.\nAnswer: -4, c, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*o = -4*o + 10. Suppose -200 + 65 = -o*h. What is the remainder when h is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (0 - -12) + (-1 - 6).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 927 to the power of 1\/2, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Express 2*s**3 + 199*s + s**3 + 406894 - 406895 as y + d*s**3 + r*s + c*s**2 and give d.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*a**3\/3 + 91644*a**2 - 183290*a + 274936\/3 = 0 for a.\nAnswer: -137468, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let q(h) = -3*h**2 - 7*h - 54. Let k(l) = l**2 + 2*l + 18. Determine 14*k(u) + 4*q(u).\nAnswer: 2*u**2 + 36","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is i in 3*i**3 - 18*i**2 - 567*i - 1458 = 0?\nAnswer: -9, -3, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 625056 and 39644.\nAnswer: 364407648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -3866 or -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in three sixteenths of a day?\nAnswer: 16200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*l + 3. Let f be (4\/(-8))\/(l\/6). Is 22 - (f + -3 - 1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*g + 2015 - 9445. Suppose -2*h - g = -5*u + 1084, 0 = 2*u - 2*h - 1922. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00057182444 rounded to 6 dps?\nAnswer: -0.000572","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d**(1\/6)\/d)\/d**(-1\/9) assuming d is positive.\nAnswer: d**(-13\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.2163 rounded to 1 decimal place?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 162162*x**2 + x - x - 161877*x**2 to the form g + n*x + c*x**2 and give c.\nAnswer: 285","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 142980 and 45?\nAnswer: 428940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.4 times 359.1?\nAnswer: -143.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 71.49 + -71. Let v = t - 3.49. What is the third biggest value in -11, -0.2, v, -3\/2?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -19026 divided by 9513.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 243798 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -61*r = -49*r. Let t(w) be the first derivative of 6 + 3\/2*w**2 + 0*w**3 + 0*w + r*w**4 + w**5. Find the second derivative of t(h) wrt h.\nAnswer: 60*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4986 + 4986 - 132*g)*(0 - 4*g + 0) + g**2 - 1 + 1 + g**2 - 2 + 2 - 3*g**2 + 4*g**2 + 0*g**2 + (1 - 1 - 2*g)*(0*g - 3*g + 2*g) + 2*g**2 - 3 + 3.\nAnswer: 535*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (-3)\/(-7) - 2\/14*-263?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1476 = -95*y + 13*y for y.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 1\/7, 0, -0.2, -50\/239413?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 849 is divided by 29?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let u be ((-32)\/(-552))\/(28\/42). Sort -2, u, -12\/157.\nAnswer: -2, -12\/157, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 10362 or 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 78841217?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence aaoo when four letters picked without replacement from oaooaoiaioaa?\nAnswer: 10\/297","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Divide 5 by 86784.\nAnswer: 5\/86784","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let a(l) be the second derivative of 4834*l**3\/3 - 4742*l**2 + 5767*l. Find the first derivative of a(b) wrt b.\nAnswer: 9668","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 83923739.\nAnswer: 61, 1375799","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(60) + sqrt(180)\/(sqrt(9)\/sqrt(3)))\/sqrt(12).\nAnswer: 2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is (-1350)\/300*(-4)\/9?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -149 + 463. List the prime factors of w - (54\/6 + 2*-2).\nAnswer: 3, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(t) = 496*t**2 - 2973*t - 45. What is h(6)?\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let m(h) = h**3 + 10*h**2 - 2*h + 56. What is m(-7)?\nAnswer: 217","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -26 + -18. Let d = o + 48. Solve 3*p = -d*m + 26, -4*m + 7 = -2*p - 9 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 3681, 3463, 3243, 3021, 2797, 2571, 2343?\nAnswer: 2113","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4*(-4)\/256*2.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -28 - -26.7. Let k = 6.3 + a. Let y(b) = b**2 - 5*b + 2. Let c be y(2). What is the third biggest value in 2\/7, c, k?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-v - 5*v + 0*v)*(6*v**2 - v**2 - 4*v**2) + v**2 - v**2 + 2*v**3.\nAnswer: -4*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 158 - 157.7. Let h be 1 - (2 + 17\/(-15)). What is the nearest to -1 in c, h, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 3689 and 2975?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-t**4 + 4*t**4 - 2*t**4)*(266180*t + 4 - 533205*t + 265261*t).\nAnswer: -1764*t**5 + 4*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 12023?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let k(n) = -124080*n + 248161. Give k(2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -2141 + 2137. What is the second biggest value in 3, 2\/5, -1\/5, q?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -3244678 by 1.\nAnswer: -3244678","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1\/4 in -14, 595, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -3839 - -6168. Suppose 5*f - 3109 = -4*o - 0*o, -3*o - f = -y. What is o rounded to the nearest one hundred?\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -358*x**3 + 360*x**3 - 18*x**2 + 18*x**2.\nAnswer: 2*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify l*l**(-10)\/l*l*l\/l**(5\/4)*l**(-1\/6)*l**(3\/7) assuming l is positive.\nAnswer: l**(-755\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let c(g) = -9038*g + 108199. Give c(12).\nAnswer: -257","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -103\/60 and 47\/96075?\nAnswer: 384300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.3732466 centuries to years.\nAnswer: 37.32466","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Does 19 divide 309563?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*r**2 + 207804150*r - 3598547063101875.\nAnswer: -3*(r - 34634025)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 4 - 0. What is the third derivative of -3*j**2 + m*j**3 - 12*j**3 - j**2 wrt j?\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.1, -0.19, -3, -0.4.\nAnswer: -3, -0.4, -0.19, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*g**2\/7 + 162\/7.\nAnswer: -2*(g - 9)*(g + 9)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 12825949 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence yj when two letters picked without replacement from ydyyyyjde.\nAnswer: 5\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 7*j**2*t**2 - 3*j**2*t - 4*j*t + t**2 - 1 wrt j.\nAnswer: 14*t**2 - 6*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 518.\nAnswer: 2, 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 278944585.\nAnswer: 5, 17, 3281701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((m*m**(4\/9)\/m*m*m**(2\/3))\/(m\/(m\/m**(-3)))**(-11))**13 assuming m is positive.\nAnswer: m**(-3614\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 321191?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 853914412 and 16.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 12224141782 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*j - 2*o + 9120 = 6*j, 5*j - 15200 = -2*o. Suppose 0*f = 10*f - j. What is the hundreds digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5*(sqrt(1300) + 0) + -2 + 0 + -5.\nAnswer: -50*sqrt(13) - 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 16 - 15.8. Let z = 0.2 - -0.3. What is the nearest to 1 in g, z, 0.4?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(s) = -2*s. Let z(o) = 10*o - 20. Let g(b) = -6*h(b) - z(b). Let j be g(-3). Calculate the greatest common factor of j and 350.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 2664 and 264?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let s(w) = 52*w**3 + 14*w - 6. Let d(r) = 17*r**3 + 5*r - 2. What is -14*d(q) + 5*s(q)?\nAnswer: 22*q**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 38 and 231474.\nAnswer: 4398006","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -636 = 9*d - 1923. What is the tens digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 4972 (base 12) to base 7.\nAnswer: 33116","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*a + 8. Suppose 646 = a*u + 3*g, -2*u + 186 = 3*g - 140. Round u to the nearest 100.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from hvqsqqsvqshqqm. What is prob of sequence mhq?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 152 is divided by 130.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: 102 * 187\nAnswer: 19074","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let w(l) = 748*l**2 - 7487*l + 29. What is w(10)?\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 18 + -1. Determine x so that 36*x**2 - 23*x**2 + 12*x - k*x**2 = 0.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -6*z**2 - 8*z**2 + 5*z**2.\nAnswer: -9*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let a(w) = -1089*w**2 + 245027*w - 418. Calculate a(225).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 20*p - 21*p + 89 = 0. Is p a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 9607 and 325.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 203\/49 - 2\/14. What is the units digit of ((-562)\/n)\/(6\/(-12))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -29\/29860 and -25\/94?\nAnswer: 1403420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-5 + 5 + 1)*(2 + 2 + 0)*(-p - 2*p + 5*p)*(-2 - 1 + 11) to u + t*p and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let p(q) = q**2 + 3*q + 2. Let t be p(-3). Solve 10 = -4*v - o, 0*o - t*o + 4 = -4*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 410 minutes before 9:53 PM?\nAnswer: 3:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 1a + -d2?\nAnswer: -b6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -78*c + 10952 = -32260. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -20*k + 17*k - 9*k to the form p*k + l and give p.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3465893580.\nAnswer: 2, 3, 5, 57764893","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -152.6 and 0.1492?\nAnswer: -22.76792","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Divide -2 by -6720.\nAnswer: 1\/3360","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-52761)\/(-48) + (-2)\/(-4). Let s = r - 1094. Calculate the common denominator of s and -75\/16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 142 a factor of 2852488552?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Put -2, -4, -15, 10, 4 in ascending order.\nAnswer: -15, -4, -2, 4, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Does 46 divide 9290?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -2 + 185\/90 + (-1297275)\/13230?\nAnswer: -98","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 79171?\nAnswer: 41, 1931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let c(p) be the second derivative of -p**4\/18 + 500*p**3\/9 - 62500*p**2\/3 + 437*p. Factor c(j).\nAnswer: -2*(j - 250)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9108 + 39516 = 12*s. Suppose 8*m - m - s = 0. What are the prime factors of m?\nAnswer: 2, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c**(-1\/3)\/c)**(-15) assuming c is positive.\nAnswer: c**20","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let n(o) = o**3 + 4*o**2 + 3*o + 1. Let x be n(-2). Suppose 0 = -2*r - x*r. Suppose 6 = -f - 5*k - r*k, k + 30 = 3*f. Solve 2*d = -d - f for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.000001340975 to seven dps.\nAnswer: 0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let j(m) = -m**2 - 119*m - 3511. Give j(-55).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 2*p*s**2 + 5087288*p*s - p + s**2 - 9307665*s wrt p.\nAnswer: 2*s**2 + 5087288*s - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6*z**4\/11 + 8450*z**3\/11 + 73610*z**2\/11 + 9530*z + 39676\/11 = 0.\nAnswer: -7, -1, -2\/3, 1417","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*h - 283 - 273 = 0. Calculate the remainder when h is divided by 35.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(k) = 20*k. Let m(t) = -2*t**2 - t + 1. Let r(j) = 6*j - 1. Let u(d) = -7*d + 1. Let o(f) = 6*r(f) + 5*u(f). Let n(h) = -m(h) - o(h). Give n(v(b)).\nAnswer: 800*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -35856, -143572, -323144, -574572, -897856, -1292996?\n\"Answer: -35928*y**2 + 68*y + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 0.76332 - 0.854399. Let i = -0.174 + 0.265. Let r = m + i. What is r rounded to five decimal places?\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(q) = -q - 3. Let p be b(-6). Let r be (-15)\/(-3)*(p - 2). What is the second derivative of -s**r + 3*s**5 - s - s**5 wrt s?\nAnswer: 20*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -412 + 468. What is the highest common factor of i and 224?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 134 + 200101?\nAnswer: 200240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Convert 286 (base 10) to base 2.\nAnswer: 100011110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*r - 29 - 2 = f, 5*r - 3*f - 53 = 0. Suppose -2*v - l = -0*l - 41, 3*l = -4*v + 83. What is the greatest common factor of r and v?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(21)\/sqrt(7)*-5*6*-5)**2.\nAnswer: 67500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 2761 and 1255?\nAnswer: 13805","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 42799491?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let k(a) = -a**2 - 18*a - 19. Let v be (-1 - 8) + -1 + 3. Let w(q) = 3*q**2 + 3*q - 3. Calculate the remainder when k(v) is divided by w(-3).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(d) be the second derivative of -d**6\/30 - d**3\/3 - d**2 + 3*d. Let i(q) be the first derivative of p(q). Differentiate i(c) with respect to c.\nAnswer: -12*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 436313.52ms to hours.\nAnswer: 0.1211982","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*v + 2193602*j - 14 = 2193612*j, -5*v - 4*j - 32 = 0 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1311*o + 1313*o + 4*b - 236 = -42, 0 = 4*o + 2*b - 106 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0*u + 6 - 5 = p + 6*u, 2*p - 5*u = 2 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, -3, -363, 1, -4, -17 in ascending order.\nAnswer: -363, -17, -4, -3, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 121810*h**2 - 174271 wrt h.\nAnswer: 243620*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 8377635 and 1380.\nAnswer: 33510540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: -10907 * -4626\nAnswer: 50455782","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence phh when three letters picked without replacement from {p: 9, h: 2}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1 + 2295118484*d**3 - 2295118504*d**3 - 3.\nAnswer: -20*d**3 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 125\/1974 and -26\/987.\nAnswer: 1974","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z**(-8)\/z**(-4))**(-1\/4)\/((z*z**2*z)**(27\/5)\/(z**(-2\/3)*z)**(3\/19)) assuming z is positive.\nAnswer: z**(-1952\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*v - 4*n = 28, 5*v + 22 = 10*v + 2*n. Let s = -1697\/7 - -247. Do s and v have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(q) = -12*q**2 + 20. Let i be c(-5). Let z = -121 - i. What is the tens digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 69\/14 - -913\/42. Let n = b - 28. What is the closest to 3 in n, 2, 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (6\/8)\/(-4 - (-51933)\/12996). Let v = 191 + n. Is v less than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 428\/(-18) - (-4)\/(-18). Let m(t) = t**2 + 12*t + 12. Let z be m(-6). Is f bigger than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(a) be the third derivative of a**5\/5 + 45*a**4\/8 + 11*a**3\/2 - 35*a**2. Suppose o(d) = 0. Calculate d.\nAnswer: -11, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(y) = -y. Suppose -2*c - 7 = 1. Let s be z(c). Are s and 4 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -a + 312 = -l, 0*l + 315 = a - 4*l. Let t = a - 195. What are the prime factors of t?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many nanoseconds are there in 3\/8 of a microsecond?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m(o) = 2*o - 1. Let r(g) = 2*g - 2. Let v be 0\/(2\/((-6)\/9)). Suppose -4*i + v*i - 16 = 0. Determine i*r(n) + 5*m(n).\nAnswer: 2*n + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand 135*y + 1449*y**2 - 18*y - 116*y + (-2 - 2*y + 2)*(3*y - 3*y - 2*y).\nAnswer: 1453*y**2 + y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 53\/2724 and 109\/2724.\nAnswer: 2724","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 7  (b) -0.4  (c) -249.18\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let c(j) = -327*j + 3862. Determine c(12).\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Round 65730.8 to the nearest 10000.\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let d(p) = p**3 - p**2 - p - 10. Let r be d(5). Factor -24*j + 56*j - j**2 + 114 + 4*j**2 + r*j.\nAnswer: 3*(j + 1)*(j + 38)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 141.73 = -2\/359?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, 3669192\/7, 4\/7, 4 in ascending order.\nAnswer: -4, 4\/7, 4, 3669192\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let f(y) = -26*y**2 + y - 1. Let v be f(-4). Let x = -294 - v. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*c = c + 2*t + 2, -4*t = -4. Suppose -v + 367 = c*h, 4*v - 2*h - 2*h - 1488 = 0. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 19169\/34 or 564?\nAnswer: 19169\/34","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let d(r) = -12*r + 9. Let x be d(8). Suppose -2*g = k - 174, -2*k + 4*g = -464 + 84. Let t = x + k. Is t a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(q) = 102*q**2 + 11*q + 6. Let r(b) = -113*b**2 - 9*b - 7. Calculate 5*r(n) + 6*w(n).\nAnswer: 47*n**2 + 21*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -15*q**4 + 2*q**3 + 2*q**2 - 1186*q - 2?\nAnswer: -180*q**2 + 12*q + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Sort 44\/21, 0.1, 1\/3 in decreasing order.\nAnswer: 44\/21, 1\/3, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 6269273 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from rdynuduyuuaarny. What is prob of sequence rn?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let f(i) be the third derivative of -1\/60*i**5 - 11\/24*i**4 + 5*i**2 + 0*i + 0 + 0*i**3. What is the second derivative of f(z) wrt z?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4 - 2 - 1)*(5*r**4 - 7*r**4 - 11*r**4) + 0*r**4 + 3*r**4 - 6*r**4 + (2*r - r - 2*r)*(-6*r**3 + 4*r**3 + 4*r**3) - 4*r + 2*r**4 + 4*r.\nAnswer: -16*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2554 + 2554 - 10*z**3.\nAnswer: -10*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2413652 is divided by 47.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 696089 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -54.042 + 54. Let y = 21.042 + k. Let a = -21.0021 + y. What is a rounded to 3 decimal places?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 53 = -y + 57. Let o be y - (3 + -2 + 3). Let s be 3 + -4 + 4 - o. Solve 21 = 4*m - 5*g, -s*m - g = -6*g - 22 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5*((4*-4*sqrt(684))**2 + (2*(sqrt(684) - (-2 + sqrt(684))))**2 - ((sqrt(684) - (5 + 4*sqrt(684))) + (sqrt(684) + sqrt(684)*-1)*3)**2).\nAnswer: -844695 + 900*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 19478010 divided by -1298534?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(147) + 3)**2 + 2.\nAnswer: 42*sqrt(3) + 158","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 1363693 a multiple of 211?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let i(p) = 155076*p**2 - 155077*p**2 - 3 - 4 + 12*p. Calculate i(10).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -21 from -13826.\nAnswer: -13805","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 1\/((-25)\/(-10)) + (-4)\/10. Suppose m = -w - 2*f - 2, -4*f = -w + 4*w + 2. Find the second derivative of -259*i**2 + 268*i**2 + w - 2 + 29*i wrt i.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 306 is divided by 282.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 52451.0217 rounded to the nearest ten thousand?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:31 AM and 9:47 PM?\nAnswer: 676","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*l = 2*l + 10. Let s = -237 - -234.7. Let c = s + 1.3. What is the third smallest value in 1, l, c?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(h) = -h + 2. Let t be i(2). Suppose -5*j - 30 = -3*j - 5*a, 3*j + 3*a + 24 = t. What is the remainder when ((-45)\/2)\/9*j is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -241150 by -371.\nAnswer: 650","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand 4*q**5 + 11029 - 11036 - 92*q + q**2 + 98*q - 2*q**5 + 4*q**2 - 4*q**2 + (2 - 4 + 4)*(-2*q**5 + q**5 - q**5).\nAnswer: -2*q**5 + q**2 + 6*q - 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*c = -5*i - 10, -5*i + 0*c = -2*c - 10. Let w(u) = u - 2. Let v be w(5). Sort 4, i, v in decreasing order.\nAnswer: 4, v, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(n) = 4*n. Let h(p) = -4*p. Let c(b) = -2*h(b) - 3*v(b). Let y(t) be the third derivative of t**5\/60 - t**2. Determine c(y(r)).\nAnswer: -4*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 1a (base 11) in base 9?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 4.3432 rounded to 2 decimal places?\nAnswer: 4.34","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 48949 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: 3 - -7 - (-6)\/(-1)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 265158 to the power of 1\/3, to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: -18b8c9 (base 13) to base 7\nAnswer: -5213341","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*w**5 + 31640*w**4 + 285900*w**3 - 4659170*w**2 + 9344825*w + 14258250 = 0 for w.\nAnswer: -18, -1, 5, 6337","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -3*a + 3*a**3 - 30 + 9*a + 0*a**3 - a**3 to the form d*a**2 + j*a + w*a**3 + u and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let f(c) = c**2 - 15*c - 30. Calculate the remainder when f(23) is divided by 31.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-14)\/42)\/(1\/(-21))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -3462 divided by 3688?\nAnswer: -1731\/1844","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -418\/5 or -85?\nAnswer: -85","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose n + 2 = -2. Let x = 8 + n. Suppose v - x*i - 7 = 13, -8 = 4*i. Is v a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -5, 0, 3, 0.2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 24019 - 24019. Factor 10\/3*t**3 + 2\/3*t**4 + 2*t + 14\/3*t**2 + j.\nAnswer: 2*t*(t + 1)**2*(t + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(q) = -79*q**2. Let n(z) = -4*z**2. Calculate d(n(f)).\nAnswer: -1264*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-171766)\/(-294) + 12\/28 - 2\/3. What is the greatest common divisor of 56 and x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -795 - -807. Suppose j - p*g - 16 = -7*g, -2*j = 5*g + 28. Which is the closest to -1?  (a) -3\/8  (b) j  (c) 2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -13*u = 33 + 19 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2\/5, -36, -154, 0.07 in decreasing order.\nAnswer: 0.07, -2\/5, -36, -154","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 725*o - 441*o + 3*o**2 - 284*o + 2 - 2.\nAnswer: 3*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1 or 11.97?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let b(y) = y**2 + 9*y + 8. Calculate b(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 21\/139, -0.9, -5?\nAnswer: 21\/139","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: -775 divided by 9098\nAnswer: -775\/9098","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.014168345 to 6 dps.\nAnswer: 0.014168","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let w(z) = -z**3 - z**2 + z - 1. What is the remainder when 2 is divided by w(-2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -937*p + 944*p - 21 = 0 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-3*(-4)\/(-42))\/((-10)\/70).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 10000011000111 - 1010?\nAnswer: 10000010111101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -48482286, -48482294, -48482302, -48482310?\nAnswer: -48482318","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 102*n**3 - 5*n + 94*n**3 - 269*n**3 + 3*n + 92*n**3.\nAnswer: 19*n**3 - 2*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let v(o) = 2*o**2. Let a(u) = -51084*u. What is v(a(x))?\nAnswer: 5219150112*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -59001 = -213*j - 63687 for j.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:55 AM and 12:05 PM?\nAnswer: 310","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 1086823\/4 - 265213. Let p = -6397 + t. Let j = 95 - p. Calculate the common denominator of j and 17\/18.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is y in 3*y**3 - 891741*y**2 + 66304716993*y - 5629459958055 = 0?\nAnswer: 85, 148581","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -229*a + 90*a = -76*a - 79*a - 848 for a.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 5 from -2000.7.\nAnswer: -2005.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*v + 1 + 11 = -u, 5*v - 5*u = -30. List the prime factors of ((-5)\/((-30)\/14))\/(v\/(-54)).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 10 = -5*k + 3*w, -2*k + 32*w - 4 = 37*w for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 o when two letters picked without replacement from {o: 3, r: 1}?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -44*c + 303045 - 303969 = 0 for c.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -5*s + k - 1422 + 1638, k = -5*s + 214 for s.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Does 125 divide 24762625?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 y and 1 c when two letters picked without replacement from {y: 4, f: 1, c: 4, w: 1}.\nAnswer: 16\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*t**3 - 136*t**2 - 288*t = 0 for t.\nAnswer: -2, 0, 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -75 - -75.101. Let n = 93.02 - 92.91868. Let z = f - n. What is z rounded to four dps?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-4 + (-24)\/(-15))\/((-3)\/20). Suppose -4*n + 8*n + c = 0. Is ((1 - -2) + 1)*(-389)\/n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d**(2\/3)*d**(-1\/2))\/(d**(2\/9)\/(d*d*d**0*d*d)) assuming d is positive.\nAnswer: d**(71\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 10*s**2 - 59*s - 2 + 60*s + 2 wrt s?\nAnswer: 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 2*g**4 - 17*g**2 + g + 25 wrt g.\nAnswer: 24*g**2 - 34","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let g(i) = -1216*i - 184048. Determine g(-151).\nAnswer: -432","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Express 1 - 1120*k**2 - 502*k**2 + 744*k**2 - 2035*k**2 in the form z*k + x + y*k**2 and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 70 + -68. Let p be (16\/6 - 2)\/(f\/15). Suppose -4*a = -4*i + 520, -p*a + 10*a + 114 = i. Does 13 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -10727 - 16.36159838.\nAnswer: -10743.36159838","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*k**5\/5 + 842*k**4 + 2659136*k**3\/5 + 446964016*k**2\/5 + 6034097504*k\/5 - 13877391584\/5 = 0.\nAnswer: -926, -238, -17, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7 = 1082*g - 1080*g + 1 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -33 = -5*g + 5*v - 4*v, -4*v = 12 for g.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Convert 23360 (base 10) to base 15.\nAnswer: 6dc5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 3  (b) 4\/13  (c) 0.08  (d) -0.07  (e) 0  (f) -1\/8\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-524)\/(-14) - (80\/56 - 1). Suppose 79 = 58*w - n. Solve -j = -w*j + 2 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2629312 a multiple of 112?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let f(t) = -t**2 - 15*t - 33. Let j be f(-3). Solve 2*g + 7 = v - 1, 2*g = -j*v + 8 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(n) = -4*n**2 - 56*n + 67. What is t(-15)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 37275\/68 + -547. What is the common denominator of 79\/44 and w?\nAnswer: 748","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 4663880?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 2 - 1659a229?\nAnswer: -1659a227","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let u(b) = 5*b. Let h(j) = -j**2 - 7*j + 10. Let i be h(-8). Let q(z) = 7*z**2 + 2*z**2 - 5*z**2 + 2*z**i. Calculate u(q(t)).\nAnswer: 30*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 261 and 604168803?\nAnswer: 261","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let k(s) = -s**3 - 57*s**2 - 44*s + 330. Give k(-56).\nAnswer: -342","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 24, 49, 84, 135, 208, 309, 444, 619?\n\"Answer: y**3 - y**2 + 21*y + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: 3200325 (base 9) to base 4\nAnswer: 12202020233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.29983 - -54.726.\nAnswer: 54.42617","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*l - 58 = 3*f, -f - l + 2 = 3*l. Let s be (f\/10 + 1)*-5. Solve 2*t + 10 - s = 0 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 3293904 or 3293931?\nAnswer: 3293931","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -133 + 136. Let i(g) = -g**3 + g**2. Let r(o) = o**2 - o - 1. Let w(j) = i(j) + 3*r(j). Determine w(n).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -489 - -3.08056\nAnswer: -485.91944","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*l + 9 = 2*k - 5*k, -5*l - 6 = 2*k. What is the biggest value in l, 1, 5\/7, -82?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 105730 or -3\/2860?\nAnswer: -3\/2860","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -3 - 0. Let b = r - -3. Let u = 19 + b. What is the units digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2*(sqrt(19) + -5*(1 + sqrt(19))**2 - (-1 + -2*sqrt(19) + sqrt(19))**2) + 2.\nAnswer: -238 - 22*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let s(q) = q**2 - 3*q + 4. Let b be s(4). Suppose -6*g + b = -22. Let n = -3 + 8. What is the smallest common multiple of n and g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from {m: 4, w: 3}.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let v(w) = -19*w**2 - 2*w - 2. Calculate v(-1).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 149 minutes after 11:33 AM?\nAnswer: 2:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.3?  (a) -4  (b) -5\/11  (c) -66  (d) 13  (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 77 minutes after 4:58 PM?\nAnswer: 6:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 482957 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 2155 to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Product of -10 and 46352.\nAnswer: -463520","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 5255, 3445, 1645, -139, -1901?\nAnswer: -3635","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is -9190 >= -9190?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let c be ((-935995)\/(-69330))\/((-1)\/(3\/(-2))). Let s = -2\/2311 + c. Determine n, given that -77\/4*n**3 + 9*n**4 - n + s*n**5 + 0 - 9*n**2 = 0.\nAnswer: -1, -2\/9, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*j + 421 + 1733 = 0. Suppose -j = -k + 7323. What is k rounded to the nearest one thousand?\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0?  (a) -2\/3  (b) -0.0241  (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let m(p) = p**3 - 8*p**2 + 3*p + 9. Let d be 4 + (1 - 2\/1). Let k be (48\/(-9))\/((-2)\/d). Let q be m(k). What is the greatest common divisor of 3 and q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(o) = o**3 - 32*o**2 - 90*o - 521. Let d be q(35). Solve d*u - 4*u**3 + 4*u**2 - 12\/5*u**4 - 8\/5 = 0.\nAnswer: -2, -1, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from iioirowowww. Give prob of sequence rw.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Factor -7\/3*m - 2\/3 - 5\/3*m**3 - 3*m**2 - 1\/3*m**4.\nAnswer: -(m + 1)**3*(m + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 31218997*y - 5997071 wrt y?\nAnswer: 31218997","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((3 + (sqrt(320) - ((sqrt(320) - (-4 + sqrt(320) + sqrt(320) + 0)) + sqrt(320))) + 0 + 3 + sqrt(320)*-2)*-5)**2.\nAnswer: -800*sqrt(5) + 8100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 18137?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -19a - -575884?\nAnswer: 575695","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let s(v) = -12*v**3 - 23*v**2 - 2*v + 3. Let p be s(-3). Suppose -p + 116 = -5*g. What is the units digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add together -6 and 460.1.\nAnswer: 454.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-4)\/12 - 22\/(-3). Suppose -5 = -b + s. Let o = 0 + b. Is 12 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(l) = -2*l**3 - 2*l**2 - 1. Let d be q(-2). Let j(f) = -d - f**2 - 2*f + 38 + f. Is j(0) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*o - 4*y + 9*y = -48309, -15 = 3*y. What is the thousands digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 50169336 a multiple of 259?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -117.06069 + 2.67539. Let g = 0.2853 + k. Round g to the nearest ten.\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2581168 is divided by 211.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0002045889 rounded to 6 decimal places?\nAnswer: 0.000205","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 2878.632ms in microseconds?\nAnswer: 2878632","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 142\/5 + 4\/(-10) is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(w) = w**3 - 10*w + 1. Let v be a(-3). Suppose -5*f + 27 = -2*b - 16, 0 = -f - 3*b - 5. Let k = f - 5. Solve 6*z - z - k = -2*m, z + 4*m = v for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (5\/(-25))\/(11\/5)?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -36540 divided by 1015\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 7361511 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 1.6982 rounded to two decimal places?\nAnswer: 1.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -3.86 - -3.86. Which is smaller: -1070 or o?\nAnswer: -1070","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: 8145765 divided by 15\nAnswer: 543051","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((p**(-2\/9))**(-1\/49))**(-1\/17)*p**(3\/4)*p\/(p*p**(1\/7))*(p**(-7)*p)\/(p\/(p*(p**(-2\/9)\/p)\/p)) assuming p is positive.\nAnswer: p**(-76123\/9996)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 244707*z**3 - 6*z + 43222 wrt z?\nAnswer: 1468242*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: 12672163 (base 8) to base 3\nAnswer: 12100200112021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 32909 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -183 divided by -183?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9\/2 + 9\/8*t**2 - 6*t + 3\/8*t**3 = 0. Calculate t.\nAnswer: -6, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2619359918 to the power of 1\/3, to the nearest integer?\nAnswer: 1378","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 15 and 41229?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -8 in -2\/1189, -1, -8\/7, -0.2?\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let g(w) = w**2. Suppose 0 = 2*s + 3*r - 36, 3*s + 21 = -r + 75. Let y(m) = -18*m + 3*m**2 + s*m. Calculate y(g(c)).\nAnswer: 3*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Express -3*y - 3*y - 2*y + (3 - y - 3)*(-3 + 4 + 0) + 4 - 2*y - 4 - y + 2*y - 2*y as h + t*y and give t.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let n(y) = 8*y + 6. Let r(f) = -7*f - 7. Let a(c) = 4*n(c) + 3*r(c). Let t be a(5). Let w = 58 - t. Solve w = -0*h + h + 5 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 152 (base 13) in base 2?\nAnswer: 11101100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Work out 137480 + -0.1.\nAnswer: 137479.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 26953319 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.55, -2\/17, 4\/61, 16.\nAnswer: -0.55, -2\/17, 4\/61, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -2\/1109  (b) 2\/11  (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -23232301113 + 2012?\nAnswer: -23232233101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 27723758885 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let w(h) = -h**2 + 2*h + 5. Let a be w(4). Let o be ((-16)\/(-20))\/(2\/(-10)). Let n = 6 + -8. Put a, n, o in decreasing order.\nAnswer: n, a, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 3*y**2 + 384 + 783 + 431 - 65 as m + j*y**2 + i*y and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let m(b) = b**2 + 5081*b - 313620. Determine m(61).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is -db (base 14) in base 15?\nAnswer: -cd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -32, -58, -84, -110, -136, -162?\nAnswer: -188","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 k, 1 s, and 1 x when three letters picked without replacement from {x: 1, m: 2, k: 2, z: 1, s: 1}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 2286 to the power of 1\/4, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 405\/616 at least 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let -4*i**4 + 309*i**3 + 2723*i**2 - 7500*i + 1700 = 0. Calculate i.\nAnswer: -10, 1\/4, 2, 85","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose z - 5 = -4*z, 0 = -4*o - 2*z + 430. What is the hundreds digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*q + 6 = u, 0 = -3*u - 2*q + q + 39. Suppose -3*x - u = 0, -4*i - 8 = 3*x + 4. Sort i, -4, -2, 4 in decreasing order.\nAnswer: 4, i, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 34421 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 5077 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from vouuvuwwvuvuhvuvv. What is prob of sequence hu?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 7593*r + 7653*r - 15205*r.\nAnswer: 41*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 400*n**2 + 254 with respect to n.\nAnswer: 800*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -2 + -2. Let r = 5 + g. Let c be 4\/(1\/((-2)\/(-10))). What is the third biggest value in c, -0.1, r?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -8 times -18.5\nAnswer: 148","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*m + 102 = 4*f, 0 = -f + 7 - 4. Let i(n) = m + n**2 - 28 + 10. Let j(g) = 17*g. Give j(i(w)).\nAnswer: 17*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -305 - 2774.\nAnswer: -3079","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k**(-1))**(3\/2) assuming k is positive.\nAnswer: k**(-3\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Sort -10, 1, -3, 3 in ascending order.\nAnswer: -10, -3, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*t = -15 - 5. Suppose 882 = -t*k - k. Let q = k - -285. Does 12 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-37004592)\/396 - -11 - (-2)\/(-33). What is z rounded to the nearest 1000?\nAnswer: -93000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(108)\/sqrt(6) - (-3 + sqrt(242)))*6.\nAnswer: -48*sqrt(2) + 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -48*l - 59*l - 131*l + (7*l - 3*l - 2*l)*(1 - 2 + 2) to p + h*l and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 1175, 1307, 1477, 1703, 2003, 2395, 2897?\n\"Answer: 3*y**3 + y**2 + 108*y + 1063","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 1  (b) -0.04  (c) 5  (d) -1.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 5?  (a) 1\/8  (b) -2  (c) 0.01  (d) -83\/4  (e) -34  (f) 4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 q and 1 y when two letters picked without replacement from {b: 1, v: 2, i: 1, l: 1, q: 1, y: 2}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:37 AM and 5:11 PM?\nAnswer: 454","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-1)\/12*2*(-100 + 92).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(p) = -p + 9. Let r(a) = a**2 - 5*a + 4. Let m be r(4). Suppose -z + 3 = x - m*x, -4*z - 2 = -3*x. Let l be z + 0 + (1 - 2). Give w(l).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -57137*v**3 - 14214*v**2 wrt v?\nAnswer: -342822","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: How many meters are there in 24.12053 kilometers?\nAnswer: 24120.53","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: -185059 divided by -6\nAnswer: 185059\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 785 and 110842?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is ((-36130)\/(-5))\/(2 + 0) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 674053?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 116 a factor of 47335?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 102248096 divided by -2?\nAnswer: -51124048","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*sqrt(2448) + sqrt(136)\/(sqrt(128) - sqrt(8)) + -3)**2.\nAnswer: 70*sqrt(17) + 20906\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 86972444?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -48*(140\/(-294) + (-9)\/(-63))*(-6)\/(-9).\nAnswer: 32\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 307045812?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -3*k + 3*k + 3*k**2 - 6*k**4 wrt k?\nAnswer: -144*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 9 - 1. What is the highest common factor of y and 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 4*r + 2*x - 22, 3*r - 8 = -2*x + 10 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -543*d = -687*d - 1872 for d.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (8\/4)\/((-2)\/(-4)). Suppose -7*x = -m*x. Suppose 5*f - 5 = x, -3*g + 6*f - 2*f = -8. Solve -o - g*o = 25 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -32, 2, 11137?\nAnswer: 11137","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 144402 + 13203?\nAnswer: 213110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -509 - -673. Is 21 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*w = 2*l - 2, 3*l - 13 = -3*w + 2*l. Factor 10 - 20*d**w + 4*d**5 + 4*d**2 + 535*d + 6 - 503*d - 4*d**4.\nAnswer: 4*(d - 2)**2*(d + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(g) = 25*g + 1. Let i be k(5). Suppose -2*r + 4 = 0, 3*r = -5*d - 0*r + i. Suppose -3*x + d = 3*x. Solve 0 = -5*q + q + x for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -89878*b*s**2 - 15831*b - 23*s**2 + 637*s wrt s?\nAnswer: -179756*b - 46","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:49 PM and 3:39 PM?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 268685789 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 0.08 - 0.08. What is the nearest to s in -1, 5, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 4241 + -4235. Calculate the greatest common divisor of 4398 and a.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be -1 - 1\/(-2)*2. Suppose 3*i + y*i = -5*m, i = -4*m. Suppose i = s + 2*s - 9. Are s and 4 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 542, 581, 654, 773, 950, 1197, 1526?\n\"Answer: 2*z**3 + 5*z**2 + 10*z + 525","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3 + (sqrt(19) - -3*(sqrt(19) + 0)) + sqrt(19))**2.\nAnswer: 30*sqrt(19) + 484","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l\/(l*l\/(l\/((l\/l**(-23\/3))\/l)))*l**(2\/7)\/l)\/(l*((l**(-5\/4)\/l)\/l*l)\/l*l)**(-8\/3) assuming l is positive.\nAnswer: l**(-82\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: 1824\/342*((-18)\/(-4))\/(-3)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put 3957, -5331, 5 in decreasing order.\nAnswer: 3957, 5, -5331","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -79 - -65.6. Let p = q - -13. Sort p, -3, 0.2 in ascending order.\nAnswer: -3, p, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 9\/(-15) + (-2769)\/(-15) is divided by 31?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -4 and -0.19223919.\nAnswer: 0.76895676","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4667664.\nAnswer: 2, 3, 47, 2069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -54 + 186. Let r = m + -136. Is 0.2 greater than r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*n = 19 - 7. Suppose 0 = -6*w + w + 80. Suppose n*b + w = 4. Is b smaller than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*v + 2*p - p = -20, -5*v = p + 36. Let c be 1\/v - 429\/(-104). Suppose -c*x - 4*k = -2*x - 80, 4*x - 160 = 4*k. Is 4 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 7*p - p**2 + 15*p - p**2 as r*p**2 + q + w*p and give w.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -3 + 4 + (2 - 4) + -4?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.276 + 2.4.\nAnswer: 2.124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (71 - -2) + -2 + -110 + (-195 - -303).\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 824121?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let n(f) be the first derivative of -3*f**2\/2 + 6*f - 8. Let z = -266 + 302. Let u(p) = 13 - 17*p - 9*p - 17*p + z*p. Determine -5*n(o) + 2*u(o).\nAnswer: o - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-5)\/(35\/(-6)))\/((-16)\/56).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in a - 2*a - a**3 + 1183 - 1185 - 21995*a**2.\nAnswer: -a**3 - 21995*a**2 - a - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is (4 - 31) + 76 + (-21 - -4)?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"}
{"text":"Question: Let r(y) = y**3 + 1. Let c(n) = 14*n**3 - 4*n + 16. Determine -c(z) + 12*r(z).\nAnswer: -2*z**3 + 4*z - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let m(u) = u**2 - 3*u + 3. Let p be m(3). Suppose 0 = 4*q + n - 5, -3*q - 3*n + p = -12. Suppose b + q*b = 20. Is 14 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 68, 241, 530, 935?\n\"Answer: 58*g**2 - g + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve s = -4*v + 10, -3*s + 6 = 4*v - 8 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -ad54 + 10?\nAnswer: -ad44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Add together 4040725 and 4.\nAnswer: 4040729","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 23 = -5*m - 22. Let p be -6*(-3)\/m*-10. Suppose p = 5*o - 0, 4*v - 4 = 4*o. What is the units digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -3 + -3352352543?\nAnswer: -3352352550","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 14*a**3 + 9*a**3 + 11*a**3 - 6*a**3.\nAnswer: 28*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 1422976779531\/140 + -10163956987. Let b = -162866 + s. Find the common denominator of 115\/12 and b.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 32220 a multiple of 55?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -10331, -20707, -31101, -41513, -51943, -62391, -72857?\nAnswer: -83341","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 355903390 rounded to the nearest one million?\nAnswer: 356000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 504\/(-72)*((-20)\/(-30))\/(-7*1).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 b and 1 f when four letters picked without replacement from bbfffbfffbf.\nAnswer: 14\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*u + 2 = 2*u. Suppose 4*i + 2 = -6. Is u < i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 2012, 3564, 4656, 5288, 5460?\nAnswer: 5172","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:24 PM and 2:07 AM?\nAnswer: 703","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 18 - (-6 - (-65)\/5). Calculate the highest common factor of f and 176.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 16\/3 - 2\/(-3). Let k be 1\/((j\/(-16))\/(-3)). Solve 2 = 2*s + k for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find a such that 4*a**3 - 11032*a**2 - 177476*a - 166440 = 0.\nAnswer: -15, -1, 2774","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -l = -4*h + 318, 0*l - 84 = -h - 2*l. Let k = h - 48. Does 14 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(b) = b**3 - 4*b**2 - 2*b - 10. Let g be f(5). Let c = 36 + g. What is the tens digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -5 + 0. Let z = 8 + b. What is the units digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 28*y - 90 = 50. Suppose -1 - 9 = -y*i, 5*g = 3*i + 3169. What is the tens digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 153 or 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 0.3 + -0.4. Let t be 205\/(-492)*39\/65. Which is the closest to z?  (a) 0.1  (b) t  (c) -9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -u**2 + u + 3*u**2 + 113 - 121 to g*u + r + o*u**2 and give r.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -377*b + 376*b + 2*f - 11, -6 = -4*b + 2*f - 26 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2275014.\nAnswer: 2, 3, 7, 54167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 17 - 11c12?\nAnswer: -11bfb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 10*q - 11*q + 2. Let h(v) = -v**q + 7*v**2 - 4*v**2. Let n(s) = -13*s. What is n(h(j))?\nAnswer: -26*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 373 - 378. Let k(q) = -3*q**2 - 5*q + 6. Let p(v) = -2*v**2 - 4*v + 6. What is n*p(j) + 4*k(j)?\nAnswer: -2*j**2 - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*t = 10*t - 30. Suppose -3 = -2*v + 7. Solve -v*l = t - 5 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -294*k - 164*k + 139*k + (-5 - 3 - 3)*(k - 4*k + k).\nAnswer: -297*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let h(c) = 12*c - 16*c - 10 + 4*c + c**2. Let k be h(-7). Let u = 74 - k. Calculate the remainder when u is divided by 18.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(k) = -k + 2. Suppose -i + 7 = 5*l, 0 = -4*l - i + 3*i + 14. Suppose -13 + l = -s. Give h(s).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 7644.\nAnswer: 2, 3, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 321, 384, 447, 510?\n\"Answer: 63*m + 258","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-10 - 2*x - 2 + 15)*(-4 - 1 + 4 + (2 + 1 + 0)*(0 - 3 + 1) + (-3 + 26 - 7)*(-1 - 2 + 1)) to d + y*x and give y.\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let d(g) = 4*g**2 + 34*g - 26. Let f be d(-29). Suppose 0 = -12*j + 5*j + f. Is 12 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 o and 1 c when two letters picked without replacement from mocmo.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 399807346?\nAnswer: 2, 199903673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: ((-28)\/49)\/4 + (-238)\/49\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 63*f - 96*f + 443004 = 168*f. Calculate the remainder when f is divided by 34.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1241.\nAnswer: 17, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 6333  (b) 6  (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let d(m) be the third derivative of 11*m**4\/2 - 35*m**3\/2 + 4*m**2 + 5*m. Differentiate d(j) wrt j.\nAnswer: 132","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 7\/2 - (-6)\/(-12). Suppose 5*b + l = 108. What is the greatest common divisor of 7 and b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -69*i*m**3 - 1055*i*m + i + 99795 wrt m?\nAnswer: -207*i*m**2 - 1055*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let b(y) be the third derivative of y**6\/360 + y**5\/120 - y**4\/12 - 6*y**2. Let z(v) be the second derivative of b(v). Let o(c) = -c + 1. What is -o(t) - z(t)?\nAnswer: -t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -110001101111010100101100 - -10?\nAnswer: -110001101111010100101010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let d(q) = 73*q**2. Let o(v) = -16*v - 14*v + 28*v. Give d(o(g)).\nAnswer: 292*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -68 - 2*z**3 - 311*z**2 + 619*z**2 - 310*z**2 to the form g + r*z**2 + s*z + h*z**3 and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-12)\/4*(36\/4)\/72.\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 h, 1 o, and 1 l when three letters picked without replacement from {l: 1, c: 1, a: 1, o: 4, h: 4}.\nAnswer: 16\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 23102213 + -10?\nAnswer: 23102203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3*(6*-2*sqrt(45)\/sqrt(3))\/((sqrt(450) - sqrt(18))\/sqrt(6)*-4) + 5.\nAnswer: 5 + 9*sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 222 and 1408072.\nAnswer: 4224216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let a(h) = 981*h + 2. Let x(j) = -2941*j - 7. Calculate -7*a(y) - 2*x(y).\nAnswer: -985*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -21 - (12 + -19) - (1 + -9).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 25 and 26525?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -41749, -83498, -125245, -166990, -208733, -250474?\n\"Answer: k**2 - 41752*k + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (1 - -2) + 1 + -3 - 2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*a - 8956 - 30755 = 0. What is the units digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4326 greater than or equal to 21633\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*m = w + 6172, 0 = -3*m - 6*w + 2*w + 3671. Calculate the greatest common factor of m and 1096.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 39\/78 + 10530\/324.\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:22 AM and 4:48 AM?\nAnswer: 266","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Round -78.74862 to the nearest ten.\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let d(c) = -2*c**2 - 93*c - 257. Let q be d(-3). Put q, 9, -2 in descending order.\nAnswer: 9, q, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -30 - -33. Let l = 120 + -125. Which is the smallest value?  (a) -2  (b) l  (c) t  (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 18146033?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:03 AM and 12:58 PM?\nAnswer: 115","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Does 666 divide 4075399?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Put -1\/7, -0.4, 2\/13, 0.27 in decreasing order.\nAnswer: 0.27, 2\/13, -1\/7, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 530 minutes before 4:44 PM?\nAnswer: 7:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let l(p) = 169*p + 1. Is l(1) a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1811998 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 28, 107, 176, 229, 260, 263?\n\"Answer: -r**3 + r**2 + 83*r - 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose l + a - 41 = 0, 4*l - 9 = -5*a + 151. Let i be ((-4076)\/l)\/((-4)\/6). Let t = i + -136. What is the third smallest value in 1, t, 1\/5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 23 and 122830764?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 939 or 0.22?\nAnswer: 0.22","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*f = 3*j - 5*j - 106, -120 = -2*f - 5*j. Let w be 700\/22 - (-10)\/f. Suppose -3*b = -w + 5. Does 7 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (d + 2 - 2)*(-3*d - 3*d + 4*d)*(-18 - 92 + 26).\nAnswer: 168*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Divide 263290 by -2.\nAnswer: -131645","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 8026*q - 8535*q + 20869 = 0 for q.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0*m - m + 6 + 2*m.\nAnswer: m + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let q(i) = -2*i - 95. Let b(k) = -15*k. Give b(q(l)).\nAnswer: 30*l + 1425","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.000000026763 to 7 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.022 * -0.048729.\nAnswer: -0.001072038","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 73*m + 1 = 1. Let d(k) = -k**3 + k**2 + k + 14. What is d(m)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 284, 250, 192, 110, 4, -126, -280?\n\"Answer: -12*o**2 + 2*o + 294","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence uduu when four letters picked without replacement from uduuonnddoudduoduuu.\nAnswer: 7\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: ((-35)\/3 + 0)*(13 - 710\/50)\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -397 - 16*c - 21*c - 23*c + 387 - 18*c + 80*c.\nAnswer: 2*c - 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*f + 15 = 3*n - 6*n, -5*f = 5*n - 15 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let s(i) = -i**2 + 8*i - 9. Let l be s(4). Let w be (-2116)\/30 - l\/(-105)*2. Let j = -976\/15 - w. What is the common denominator of -44\/15 and j?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 232, 863, 1832, 3073, 4520?\n\"Answer: -11*f**3 + 235*f**2 + 3*f + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 385 = 32*p + 6*p + 17*p for p.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Does 100 divide 1099096800?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-10)\/(-45) - ((-51)\/(-2295))\/((-4)\/(-85)). Let a = 18 + 3. Let d = 20.87 - a. Is d bigger than g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {f: 1, m: 4, a: 4, i: 8, q: 2}. What is prob of sequence fiaa?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 29578?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let w(n) be the third derivative of -13*n**5\/60 + 2*n**2 - 11*n. Let p(g) = -184*g. Give p(w(z)).\nAnswer: 2392*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -969030 or -969044?\nAnswer: -969030","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*n + 99 = -n. Is 12*((-1815)\/12)\/n a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(i) = 73161*i**2 - 43*i + 47. Is w(5) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many centimeters are there in 850.494 nanometers?\nAnswer: 0.0000850494","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -k - 86 = -5*t, 684*t + 56 = 688*t - 4*k. What is the smallest common multiple of (-2)\/(0 - 4\/42) and t?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-21)\/(-12) - 8\/(-32)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.103 * -11.2008.\nAnswer: 1.1536824","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*d = -1 - 14. Let m(h) = h**3 + 2*h**2 - 4*h - 2. Let f be m(d). Is (1\/f - 2)*-19 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -199*d - 974 = 54*d + 1303 for d.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*q = -2*q + 36. Let p(b) = b**2 - 4*b + 3. Let w be p(4). Let g = 36911 - 36888. Solve 2*r + s = q, w*s = -2*r - 3*r + g for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence oqip when four letters picked without replacement from {q: 1, o: 4, v: 1, i: 3, p: 7}.\nAnswer: 1\/520","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of ((-6)\/20)\/((-5)\/(54500\/840)) and 64\/21.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -0.13011 - 53.89289. Let p = -53.905 + -0.095. Let u = n - p. Round u to 2 decimal places.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -6148706, -6148705, -6148704, -6148703?\nAnswer: -6148702","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -z = -l - 5, 0*l - 2*l - 4*z - 4 = 0. Let y(w) be the second derivative of -w**5\/20 - 5*w**4\/12 - 7*w**3\/6 - 5*w**2\/2 - 221*w. What is y(l)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 122 + -87. Let c = -15 + n. Does 20 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:32 PM and 2:53 AM?\nAnswer: 501","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 124166789, 124166792, 124166795, 124166798, 124166801?\n\"Answer: 3*f + 124166786","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0*b**2 + 2*b**4 + 0*b**2 + (-2*b**3 + b**3 + 0*b**3)*(-2*b + 0*b + 0*b) + 71*b**2 - 71*b**2 + 6*b**4 + (2*b**3 - 3*b**3 + 2*b**3)*(-71*b + 151*b - 65*b).\nAnswer: 25*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1217331?\nAnswer: 3, 41, 3299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((l**(1\/3))**21*(l*l**(-4))\/l**(-5))\/((l**(1\/7)*l)\/(l**(-7)*l)*(l\/((l\/(l*l**(2\/3)*l)*l)\/l))**(-48)) assuming l is positive.\nAnswer: l**(909\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00016586 rounded to 6 decimal places?\nAnswer: -0.000166","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2662?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: (-2)\/3*14\/56*-30\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((i\/i**0)\/i*i**4*(i*i**(-1\/4))**28)**(-16))**18 assuming i is positive.\nAnswer: i**(-7200)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 3701.722l in millilitres?\nAnswer: 3701722","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 191 and 25594?\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 2 + -695?\nAnswer: -693","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (10630\/(-12756))\/((-25)\/(-780)).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(t) = -9*t**3 - 23*t**2 - 3. Let i(w) = -5*w**3 - 12*w**2 - 2. Let p(a) = -7*i(a) + 4*l(a). What is the lowest common multiple of 22 and p(-8)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor m**2\/4 - 310261*m\/4 + 77565.\nAnswer: (m - 310260)*(m - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let c(a) = 7*a**3 - 6*a**2 - 8*a - 7. Let z(s) = 9*s**3 - 8*s**2 - 7*s - 6. Give 4*c(v) - 3*z(v).\nAnswer: v**3 - 11*v - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-9 - -10)\/((-11)\/(-8)). Let x = 43\/44 - a. Suppose -1\/2*j**2 + x*j + 1\/4 = 0. Calculate j.\nAnswer: -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1167449 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 1260968, 2521835, 3782702, 5043569?\nAnswer: 6304436","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1679*b**3 + 0*b**2 + 0*b**2 + 1678*b**3.\nAnswer: -b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let c(k) = 161*k + 1069. What is c(-11)?\nAnswer: -702","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 41745424 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 55219770 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -1323215, -1323210, -1323205, -1323200?\n\"Answer: 5*i - 1323220","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 36012?\nAnswer: 2, 3, 3001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let b(h) = 319*h - 81399. Calculate b(255).\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"}
{"text":"Question: Let v = -13701 + 52768. Find the second derivative of -172*a**2 + v - 73*a - 39067 wrt a.\nAnswer: -344","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 186808.\nAnswer: 2, 19, 1229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -26.1 - -26. Let p be (61\/2)\/(1 + -7). Let v = 21\/4 + p. Which is the nearest to q?  (a) -0.5  (b) v  (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of (6\/(-9))\/(18\/(-131652))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 470 = 30*r + 17*r. What is the tens digit of 901*(r\/(-15))\/((-6)\/9)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-12)\/((-95)\/(-114)*3*4\/5)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 6311 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 93570?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: -9.3*-10988\nAnswer: 102188.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-14)\/(-18) - (-18)\/81. Suppose -i + 2 = -q. What is the common denominator of 130\/(-8)*q\/10 and 17\/6?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(y) = 159*y**2. Let b(l) = -4*l**2 + 5. Let a(x) = -744 + 249 - 2*x**2 + 247 + 250. Let v(i) = -5*a(i) + 2*b(i). Give m(v(w)).\nAnswer: 636*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is -584 minus 0.005?\nAnswer: -584.005","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from xxkxxkboxkxktxxxxx. What is prob of picking 1 t, 2 x, and 1 k?\nAnswer: 11\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, -1, -3, 74, 3, -30\/17 in descending order.\nAnswer: 74, 3, -1, -30\/17, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -0.3  (b) 0.17  (c) -0.2  (d) -5  (e) 44\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -0.26 + 0.3. Let t = -91.04 + 89. Let q = j + t. Which is bigger: 0.1 or q?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*l = -2*x + 106, -5*x = l - 5*l - 265. Calculate the remainder when x is divided by 38.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -1110 - 301224?\nAnswer: -302334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -80, -75, -66, -53, -36?\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 366.5 - 366.45. What is the closest to -0.1 in -3, t, 95?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*u + 4*v = -16, 2*u - 4*v = -u - 24. Let f = u + 14. Calculate the remainder when 47 is divided by (-66)\/(f\/(-2)) + 3.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11*u + 19*u = 200. Suppose 0 = -u*f + 33 + 67. Solve 19 + 1 = -f*v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 2664 - 6484\/3. Does u = 504?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*t = 6*t - 72. Let v = 20 - t. Factor 0 + 0*x + 2\/7*x**v.\nAnswer: 2*x**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 13 + 33 = 3*r - 4*k, 0 = -2*r - 2*k + 12. Suppose 6*i - r*i - 4 = 0. Let z be 28\/(12\/3) - i. Solve -2*f + 2 = 5*o - 20, -o + z = 4*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12*o = 1186 + 674. Calculate the remainder when o is divided by 33.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -2, -5, 2, 6 in descending order.\nAnswer: 6, 2, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -1.14, 557, -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 11*t**6 - 5*t**2 - 2*t**2 - t**2 wrt t?\nAnswer: 1320*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.08 less than -5632359809?\nAnswer: -5632359808.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 0.04 + 0. Let m = -37.05 + 37.95. What is the second smallest value in m, 1\/4, x?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -3 - 3. Let s be (-14)\/(k\/(-4) + -2). Let p = s + 6. Does 17 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2952484 divided by 4.\nAnswer: 738121","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose a**4\/9 + 875696*a**3\/3 - 7881283*a**2\/3 + 63050312*a\/9 - 14011184\/3 = 0. Calculate a.\nAnswer: -2627097, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 902399399 to the power of 1\/2, to the nearest integer?\nAnswer: 30040","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -1 + 4. Let w(d) = -3*d - 9. Let q be w(-7). Solve -4*c = -5*c - 2*v + 1, 2*c = s*v - q for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-15)\/135)\/((-2088)\/351 + 6)?\nAnswer: -13\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 12 + -13. What are the prime factors of 103 - -4 - (-2 + a)?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -82, -84, -80, -64, -30, 28, 116?\n\"Answer: j**3 - 3*j**2 - 80","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 2 + (-18 - 0)*(-130)\/(-1352) and -39\/7?\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*j = -3, 4*n - 5*j + j + 420 = 0. Let k be 36\/n - 2\/(-4). What is the nearest to -2 in 0.4, 5, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -2210101 + 1010100002?\nAnswer: 1000112201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 1655, 3454, 5267, 7094, 8935, 10790?\nAnswer: 12659","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a(k) = -k. Suppose -f + 1 = 0, -r - 14*f + 16*f = 8. Let y(g) = -2*g - 2*g + g. What is r*y(u) + 22*a(u)?\nAnswer: -4*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 672 minutes before 6:35 AM?\nAnswer: 7:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose c + 20 = 2*c. Suppose -2*r + 7*r = 225. Is 6 a factor of (r\/c)\/(6\/32)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1216 divided by 19\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 29, 6, -19, -46, -75, -106?\nAnswer: -139","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -4790*y**2 - 9775.\nAnswer: -9580*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Put -2, 1, -4, -1, -635 in ascending order.\nAnswer: -635, -4, -2, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 363 and 48476472?\nAnswer: 363","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (8\/(-170))\/(25976\/(-60165) + (-6)\/(-189))?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 18482 and -3?\nAnswer: 18485","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 80*h**3*v**3 + 2*h**3*v**2 + 24*h**2*v**3 + 2*h**2*v**2 - 728*v**3 - 200220 wrt v?\nAnswer: 480*h**3 + 144*h**2 - 4368","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -2.4 less than 9827140942?\nAnswer: 9827140944.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let o(h) = -2*h - 14. Let v be o(-8). Which is greater: v or -2\/53?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 210, 258, 306?\nAnswer: 354","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 t and 1 g when four letters picked without replacement from {t: 11, g: 3}.\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 96*v - 701 = 278 + 653. Let l(g) = g**2 - 10*g - 1. Let s be l(10). Calculate the remainder when 3\/((s\/11)\/(-1)) is divided by v.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -984*h**3 - 988*h**3 + 1976*h**3.\nAnswer: 4*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (1133\/206)\/((-396)\/360).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify b\/(b**(-3\/2)*b)*b**(-1\/6)*b*b**2*b**11 assuming b is positive.\nAnswer: b**(46\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 5261 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.1 and 1.356?\nAnswer: -0.1356","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 38 a factor of 59963168?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is ((-11354457)\/261)\/(2\/(-6)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-109 + 43*w + 36 - 40*w)*(-3 - 3 + 2).\nAnswer: -12*w + 292","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let i be -4 - (-2)\/(-2)*-10. Let a(z) = -5*z**3 - 8 + 7*z**2 - 4*z + 3*z**3 + z**3. Give a(i).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.02?  (a) -2  (b) 0.1  (c) 42\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 3938039 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 n and 1 a when two letters picked without replacement from jnqanee?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 32566?\nAnswer: 2, 19, 857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*k + 14 = h - 0*k, 0 = k + 3. Suppose h = -5*i + 15. Suppose 0 = r - i - 9. List the prime factors of r.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 111511 and 10982.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (b**(-6)\/(b**(1\/4)\/b))**(-22\/3)\/(b**(1\/7)\/b*b\/(b*b\/(b**4\/b)))**32 assuming b is positive.\nAnswer: b**(27\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let n(m) = -3*m**3 - 4*m**2 - 2*m + 1. Let s be n(-2). Suppose 31 + s = 4*d. Suppose d*h - 2*h = 1134. What is the tens digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(d) = 6*d**3 - 148*d**2 - 45*d + 5. Calculate b(25).\nAnswer: 130","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 539 - 539 + 3*v**2.\nAnswer: 3*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let y be -4 + 2\/(1*(-6)\/(-1299)). Let l = y - 251. List the prime factors of l.\nAnswer: 2, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence gjyh when four letters picked without replacement from heyyejjg?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*v - v + 5*v)*(0*v - 2*v + 0*v) + 550 - 53*v + 53*v - 72250*v**2 - 550.\nAnswer: -72254*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 5577494373?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (33\/(-9) + 3)\/((-7)\/3). Sort v, 2, -1 in increasing order.\nAnswer: -1, v, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -1956 + 1288. Let l = -325 - z. What are the prime factors of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(v) be the third derivative of 0*v**7 + 0*v - 10*v**2 - 5\/112*v**8 + 0 + 0*v**6 - 13\/60*v**5 + 0*v**4 + 0*v**3. What is the third derivative of d(y) wrt y?\nAnswer: -900*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*i - i - 5*i - 2*i + 0 + 0 - i + 4*i - 2*i + (1 + 0 + 0)*(-3*i + 4*i + i) + 0*i - 2*i + 0*i.\nAnswer: -9*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 387.7 + -388. Let f = 60 + -182\/3. Which is the closest to p?  (a) f  (b) 5  (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 13934 to the power of 1\/2, to the nearest integer?\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 99978*j*n**3 + 154*j*n + 994301*j - 1667*n**3 wrt n?\nAnswer: 599868*j*n - 10002*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 6, 195, 504, 927, 1458, 2091, 2820, 3639?\nAnswer: 4542","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Work out -52.53 * 0.4.\nAnswer: -21.012","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let d(r) be the first derivative of -r**4\/4 - 3*r**3 - 9*r**2\/2 - 4*r + 2. Let g be d(-8). Solve -4 = -g*w + 3*i, 0*i = -4*w + 4*i for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 17831760 and 8595.\nAnswer: 2865","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2*sqrt(171)*-4 + 0 + -3 + -4*((2 + sqrt(1216))**2 - (sqrt(2736) + 0 - sqrt(19))).\nAnswer: -4883 - 108*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -v = -2*p + 3*p - 66, 3*v - 3*p = 228. Let r = v + -43. What is the remainder when r is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 315 + -312 - 3\/(0 + -3). Solve 66 = s*h - 3*f + 84, 24 = 3*h + 4*f for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1 greater than -1549\/12305?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Divide -3504 by -49.\nAnswer: 3504\/49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 6 - 3. Let j be (-2)\/l + 2\/3. Suppose j*o = -o + 3, 5*n + 2*o = 131. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_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 i(x) = -x**3 - x**2 + 44. Suppose 2*h + 25 = -r + 6*r, 0 = 4*h + 5*r - 25. Suppose h = 3*b - 2*b. Is 10 a factor of i(b)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose o + g = 7, -3*g - 5 = -2*g. What is the smallest common multiple of 22 and o?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*m + 22*m = 364013. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-113)\/(-8814)*13*(-18)\/(-13)?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 0.5*-94035321\nAnswer: -47017660.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.06, -131, -0.5 in increasing order.\nAnswer: -131, -0.5, 0.06","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 2*d*n**3*v + d*n**2*v + 4*d*n*o + 2*d*o*v - 21*n**3*o - 17*n**2*v - 2*n*v with respect to o.\nAnswer: 4*d*n + 2*d*v - 21*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let m(y) = -2*y + 5. Let c(l) = 1. Let j(s) = -2. Let f(u) = -7*c(u) - 4*j(u). Suppose w - 14 = -3*d, d = 3*w - d + 13. What is w*m(z) + 6*f(z)?\nAnswer: 2*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Round 7.65 to the nearest integer.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-381)\/(-12) + 3\/12. Let p = 66 - d. Factor p - 81*q + 27*q**2 - 10*q**3 + 7*q**3 + 47.\nAnswer: -3*(q - 3)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(t) = t**2 - t. Let d be w(1). Let x(y) = 6 + 1 + y + d. Calculate the remainder when 10 is divided by x(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*l + 4*p - 72 = 4*l, 4*l = 5*p + 33. Let z(m) = 2*m + 5. Let h be z(9). Let s = h - 18. Solve -s*a - l = 8 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 1, -1\/9, 0.1, 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Do 0.079 and 316 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let h be -19 - (1 + 3 + -5). Let y = h + 21. Suppose -y = 3*b - 3*m, -4*b + 12 + 8 = 2*m. Solve 3*q - 3 = 7*q - 5*o, -b*q + o = -6 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -16631, -33253, -49875, -66497, -83119?\n\"Answer: -16622*q - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve i + 5 = 6*i, -1 = -2*k - i for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -790.3 - -789.9. Which is the second biggest value?  (a) -56  (b) l  (c) -0.08\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(r) = -r + 5. Let w be l(6). Let b be w*(2 + -4)*-2. Let j = b - -27. Is j a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -38*w + 48 = -2*z, 13*w - 9*w - 29 = 5*z for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -8*o - 3*o + 0 + 0.\nAnswer: -11*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -12 + 3 + (5 - -14).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w(t) = -3*t - 5. Let q(b) = -2*b - 4. Let y(x) = -4*q(x) + 3*w(x). Let l be y(-4). What is the third derivative of 3*j**l + 8*j - 8*j - 4*j**2 wrt j?\nAnswer: 180*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(i) = -3*i**3 + 33*i**2 + 37*i - 15. Let c be z(12). Put 2\/639, 0, 0.1, c in descending order.\nAnswer: 0.1, 2\/639, 0, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: -9336 times 0.0485\nAnswer: -452.796","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let p be ((-6)\/(-4))\/((-7)\/(-14)). Suppose -3 = -3*v + p. Let c = 0 + 2. What is the remainder when v is divided by c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1\/10 in 8, -166\/7, -30, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence cr when two letters picked without replacement from {r: 1, c: 2, h: 4, u: 2, s: 1}?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 79\/25183488 and 167\/22894080.\nAnswer: 251834880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 3812, -7738, -26984, -53926, -88564, -130898, -180928?\n\"Answer: -3848*r**2 - 6*r + 7666","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 + 0 + 2)*(-61 - 619662*o**2 + 0*o + 2*o + 619663*o**2).\nAnswer: -o**2 - 2*o + 61","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the sixth smallest value?  (a) 5\/3  (b) -1\/7  (c) 0.05  (d) 3  (e) 5  (f) -218  (g) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -378 + 356. Let f = 27 + d. Is -19 greater than or equal to f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(c) = 197*c**2 - 8*c - 36. What are the prime factors of j(-3)?\nAnswer: 3, 587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 6100089 a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 13 or 15127578?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 5\/3*360\/100. Let k be (0 + (-1)\/3)*c. Does 24 divide 1138\/12 + k\/(-12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -0.1 - -0.1. Let r = 1.21 - -6.69. Let n = r - 8. Is w greater than or equal to n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3990627594?\nAnswer: 2, 3, 73900511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*c - 3*b = 33, -4*c + 4*b - 2*b = -42. Let l be -12 + c - (1 + -94). Suppose -r - l = -2*r. What are the prime factors of r?\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*n + 4*d + 52 = 0, -n + 24 = 3*d - 9. What is the remainder when 2267 is divided by n?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 434 + -252. Let i = b + -61. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(c) = -c**2 + 19*c - 64. Suppose 4*i = 20 + 16. Calculate the remainder when k(13) is divided by i.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 8909.275nm in meters?\nAnswer: 0.000008909275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*v - 21 = -3*r, 12*r - 47 = 7*r + 2*v. What is the lowest common multiple of r and 3?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 205 is divided by 51.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 3 - -6. Let b = w - 14. What is the third smallest value in -2, b, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 2\/87 + 1091\/1740. Let s = -3\/20 + w. What is t in -1\/4 - 1\/2*t**3 - s*t**2 + 3\/4*t + 3\/4*t**4 - 1\/4*t**5 = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(t) = -t**3 - t**2 + 28. Suppose 33 = 3*y - 12. What is the remainder when c(0) is divided by y?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 381367282 to the power of 1\/6, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 y and 2 h when three letters picked without replacement from hhhhnnnnnhnynynhn?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 2\/(-4)*(5 - (5 + 0)). Suppose 0 = -5*a - p*a + 290. Calculate the greatest common divisor of 319 and a.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -221 - ((-131 - 103) + 133)?\nAnswer: -120","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*o - 43 - 53. Solve -5*r - o = r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*b = -2*u - 6, 4*b - 346*u + 24 = -351*u for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Divide -62126 by -133.\nAnswer: 62126\/133","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4 - 4 + j)*(j - 2*j + 0*j) - 28*j**2 - 45*j**2 - 53*j**2 + 8*j**2 + 78*j - 78*j.\nAnswer: -119*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -94, -185, -278, -373, -470?\nAnswer: -569","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (6\/10)\/(93\/1860). Solve -20*d + 18*d = -5*c + 17, 3*d + a = 3*c for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*t + 4*b = 3 - 15, -5*t + 20 = -3*b. Let r(o) = -10*o. Let h be r(4). List the prime factors of ((-18)\/t)\/(5\/h).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2513 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -34.9 - -35.4. Which is the nearest to -0.1?  (a) 10  (b) -1  (c) 0.4  (d) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -37, -161, -491, -1129, -2177, -3737?\n\"Answer: -17*o**3 - o**2 - 2*o - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 4, -2, 0.002, 1\/3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 5  (b) 0.7  (c) -0.01  (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v**(-2\/61)*v*(v**(4\/13)\/v)\/v*v**(7\/3)*v\/(v\/v**14*v))**(-26) assuming v is positive.\nAnswer: v**(-69506\/183)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3*(1 + (2 + sqrt(425))*-5 + sqrt(425))*1*-3)**2.\nAnswer: 29160*sqrt(17) + 557361","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.011875*205.\nAnswer: 2.434375","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -269 + 271. What is the closest to 2\/5 in -5, l, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(z) = z**2 + 12*z - 74. What is s(-17)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from plvppvllpvhlp. Give prob of sequence hvvv.\nAnswer: 1\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 14665358.\nAnswer: 2, 29, 8719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let j(a) = 291*a. Let t(g) = 146083*g. Let l(x) = 2009*j(x) - 4*t(x). Let h(m) = -103 - m + 93 + 10. What is h(l(i))?\nAnswer: -287*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 h and 1 z when two letters picked without replacement from {h: 3, u: 2, o: 2, z: 2}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -2000 - -2?\nAnswer: -1332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from jvifjmio. Give prob of picking 1 f and 2 i.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11*p + 823406 = 34*p - 1431813. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 2 + -16?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -23  (b) 25  (c) -0.05  (d) -54  (e) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -1235549 + 17289725\/14. Let z = a + 4002\/7. Find the common denominator of z and -67\/12.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 3\/4  (b) -4  (c) -5  (d) 7  (e) -105\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let n(p) = -8*p - 98. Give n(-10).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -41\/13 + 3. Let h = 0 - 0. Which is bigger: h or d?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(z) = z**3 + 7*z**2 - 14*z - 51. Let f be x(-6). Which is the third biggest value?  (a) 3  (b) -3  (c) f  (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve z - 5*z + 16 = 0 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*s = g - 0*s - 19, 5*g = -s + 139. Suppose 130*t - 91*t - 975 = 0. Which is smaller: t or g?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(x) = x**2 - 2*x + 2. Let l be w(2). Suppose 6 = -c + 3*a, 0*c + l*c - 3*a + 3 = 0. Factor 0*o**2 + 2\/7*o - 2\/7*o**c + 0.\nAnswer: -2*o*(o - 1)*(o + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -26315 + -21?\nAnswer: -26336","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -2561  (b) 4  (c) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-11 - (1 + -3)) + 3 - (-27 + 25).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -8*z + 402 = 81*z - 666 for z.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Does 26 divide 9896?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 13, 26, 43, 64, 89?\nAnswer: 118","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -42811, -42800, -42789?\nAnswer: -42778","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose d - 67 = 5*t, -2 = -4*t - 22. Let p = d + -38. Put -11, p, 2 in descending order.\nAnswer: p, 2, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -14*z + 63 - 91. Which is the nearest to 26?  (a) 1  (b) 0.2  (c) -2\/13  (d) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 z, 1 t, and 2 k when four letters picked without replacement from kkeeekeftteeefeektzt?\nAnswer: 8\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let g(y) = 6*y**2 + 55*y + 1391. Let c(v) = -2*v**2 - 20*v - 464. Calculate 11*c(m) + 4*g(m).\nAnswer: 2*m**2 + 460","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Put 1\/7, 22.4, -2\/13 in descending order.\nAnswer: 22.4, 1\/7, -2\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 7 a factor of 109?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.2, 766, 5 in ascending order.\nAnswer: 0.2, 5, 766","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 204 and 0.6661?\nAnswer: 135.8844","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 76020, 152082, 228190, 304368, 380640?\n\"Answer: 4*s**3 - s**2 + 76037*s - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 87403 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 5?  (a) -0.6  (b) -100  (c) 2\/21  (d) 221\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((t*t*t\/t**25)\/t**26)\/(t**(6\/11))**27)**(-30\/13) assuming t is positive.\nAnswer: t**(20700\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 137234227 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 16\/488 - 251875\/7625.\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-368368)\/(-14014))\/(8\/14)?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u(j) = 3*j. Suppose 3*y + 3*q = -9, 3*y - q = -0*q + 11. Let h(x) be the first derivative of 0*x + 0*x**2 + 1\/3*x**3 - y. What is h(u(z))?\nAnswer: 9*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -6*c**3*m - 18*c**3 - 47*c**2*m + 797*c**2 - 59*c*m + 2*c + 4 with respect to m.\nAnswer: -6*c**3 - 47*c**2 - 59*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*p - 2*t = 2, -3*p + 5*t + 17 = 3*t for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*y - y + 4*i + 412 = 0, 3*y = 5*i + 410. Suppose -y = -5*q + 3*q. Suppose -2*r - q = -7*r. Calculate the least common multiple of 8 and r.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of (1 - (-24)\/(-26)) + (-15038)\/(-1898) and 114?\nAnswer: 456","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -4, -1, -0.4, -4\/11, -3, -5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let j(f) = -f**3 - 8*f**2 - 3*f + 17. Let r be 3\/5 + 1368\/(-180). Determine j(r).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*g + 2*h - 61048, -g + 3*h + 5909 + 9325 = 0. Calculate the greatest common divisor of 6 and g.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 49 and 2597.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: ((-7)\/168)\/(6\/(-18))\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 + 0 + 0)*(10*o**2 - 6*o**2 - 3*o**2 + 5).\nAnswer: 3*o**2 + 15","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand (g - 3*g + 0*g)*(3*g - 3 + 3) - 16*g**2 - 170*g + 35*g**2 - 17*g**2.\nAnswer: -4*g**2 - 170*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 854 divided by 2.\nAnswer: 427","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -18*j = j - 35*j + 16. What is the fifth biggest value in 3\/8, 0.5, 0, 37\/3, j?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 93 - 91. Put 1, d, -3, 0.2 in ascending order.\nAnswer: -3, 0.2, 1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 49556219 and 106.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 657 - 657.3. What is the nearest to -1 in 3, v, 12?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(d) = 17*d**2 - 3. Let f = -106 - -97. Let m(y) = 8*y**2 - 1. Let i(t) = f*m(t) + 4*p(t). Let s(u) = u**2. What is i(s(c))?\nAnswer: -4*c**4 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -474, -1883, -4170, -7275, -11138, -15699, -20898?\n\"Answer: 10*u**3 - 499*u**2 + 18*u - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.4 times -10378255?\nAnswer: -4151302","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -5 + 7. Let p be 2 + (0 + 0)\/f. Let l(y) = 912*y**3 + 3*y - 2. Let v be l(p). Round v to the nearest one thousand.\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: 43431 (base 5) to base 13\nAnswer: 1491","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 225163.\nAnswer: 225163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-5)\/(-2)*(-92)\/(-115))\/18.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3*((sqrt(3) + -1)**2*-4 + -3*sqrt(6)\/sqrt(2) + -2).\nAnswer: -15*sqrt(3) + 54","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 243251161 to the power of 1\/4, to the nearest integer?\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let u(t) = -2*t - 16*t**3 - 21*t**3 - t**2 + 40*t**3 + 2. Let c be u(1). Suppose 2*m - 3*g = 20, -g + 6*g + 28 = c*m. Solve m*w + 0*w = -20 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.1 times -1.4923?\nAnswer: -0.14923","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -43627 - 5*p - 97*p + 43627 - 205*p**2 wrt p.\nAnswer: -410","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -1878*x**3 + 1110*x**3 + 493*x - 1364*x**4 + 768*x**3 wrt x.\nAnswer: -16368*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:10 AM and 5:33 PM?\nAnswer: 503","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.1?  (a) -1\/16  (b) 5\/4  (c) 14  (d) -0.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 3c + -3?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: 7447 (base 8) to base 11\nAnswer: 2a07","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 716\/30 - (-8100)\/60750.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -149*y**3 - 169*y**3 - 174*y**3 + 456*y**3.\nAnswer: -36*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-6 - 9 + 1)*(-4 + 3 + 3)*(0 + 0 + o**3)*(4*o + o - 3*o).\nAnswer: -56*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i**0)**(-28)\/((i*i\/i**(7\/4))\/i**(-7)) assuming i is positive.\nAnswer: i**(-29\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11*m + 14 = -8. Suppose -4*p - 7 = 5*x, m*p + 4 = 2*x + 14. Suppose -3*f = -p*f - b - 72, -4*f = -b - 279. What are the prime factors of f?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 42504 and 770?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Convert 13300034 (base 5) to base 4.\nAnswer: 200303322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k(d) = -d + 8. Let g be k(3). Suppose -g*p + 287 = -133. Calculate the remainder when p is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify n**32\/n**(1\/6)*(n*n\/n**(-26))\/n**(-3\/7) assuming n is positive.\nAnswer: n**(2531\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let t(h) be the third derivative of h**4\/24 + 4*h**3\/3 + 33*h**2. Let v(r) = r. Give v(t(f)).\nAnswer: f + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2 + (-19 - (-1 + -2 + 6 - 4)).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 3 a factor of 1161?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*(sqrt(11)*1 + 0 - (sqrt(11) + -2 + 3)))**2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 2\/7, -5, -4\/9, -1\/51?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1\/4?  (a) -0.3  (b) 0  (c) -34\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -16*r - 2*k = 232 - 120, -k + 7 = -r for r.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -263\/12?  (a) 0  (b) 0.4  (c) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 3, -5, 214, -1722?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 39264 = -472*u + 2926*u. Determine c so that 72\/7*c + u - 2\/7*c**4 - 20\/7*c**2 - 18\/7*c**3 = 0.\nAnswer: -7, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1122 is divided by ((-2)\/(-16))\/(4 + 59675\/(-14920)).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(x) be the third derivative of 0*x**3 - 1\/140*x**7 + 0*x + 0*x**5 + 0*x**6 + 0*x**4 + 1\/672*x**8 + 7 - x**2. Factor f(y).\nAnswer: y**4*(y - 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(k) be the third derivative of k**5\/60 + 7*k**4\/4 + 4*k**3\/3 - 19*k**2 + 3*k. Determine h(-42).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -451 * -41.309\nAnswer: 18630.359","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 x and 2 w when three letters picked without replacement from wxwbwbwbwwwwwn.\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let l(i) = 4 - 3 + i - 15*i**2 - 4*i**2 + 4*i**2. Let b(w) be the first derivative of w**4\/4 - 4*w**3\/3 - 2*w**2 - 6*w - 5. Let v be b(5). Determine l(v).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(p) = -p**2 - 24*p - 88. Let m be r(-9). Solve -m*o = -46*o + 3 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(q) = 3*q**2 - 4*q. Suppose 4*i - 10 = -2*v, -4*i + 2*v + 5 = -3*i. Let r be b(i). Let s = r + 3. What is the units digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5*(3 + sqrt(2420) + -1 + 2)**2*1*-5*-6.\nAnswer: -365400 - 26400*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-5)\/6 + 5254\/444 - 2.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -0.2 - -0.6. Let d = f + 3.6. Which is the biggest value?  (a) -0.5  (b) d  (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 78.5666477 - -0.07?\nAnswer: 78.6366477","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -37731, -150892, -339507, -603600, -943195?\n\"Answer: -4*s**3 - 37703*s**2 - 24*s","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(1331) + (sqrt(1331) + -1)*4 + sqrt(1331) + 0 + sqrt(1331) + 5)**2 + 3*sqrt(121)\/(sqrt(11)*-1)*-2.\nAnswer: 160*sqrt(11) + 65220","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1?  (a) -4\/7  (b) -35329  (c) 1  (d) -2\/5  (e) 1\/5  (f) -59\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let n(f) be the second derivative of f**5\/140 - f**4\/84 - 5*f**3\/7 - 1374*f. Let n(c) = 0. Calculate c.\nAnswer: -5, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(c) = 18*c - 1. Let n(j) = -j**2 - 2*j. Let r(w) = -5*w**2 - 12*w. Let d(v) = -6*n(v) + r(v). Determine d(g(k)).\nAnswer: 324*k**2 - 36*k + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 15*j**4 + 3*j**2 + 162 wrt j.\nAnswer: 60*j**3 + 6*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 52*u - 453 = 15. Solve -3*c = 5*m - u, -2*c = 6*m - 11*m + 19 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(b) = -117*b - 9563. Determine o(-82).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Sort 105\/4, 1\/5, -3.\nAnswer: -3, 1\/5, 105\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence mmm when three letters picked without replacement from {a: 13, m: 6}.\nAnswer: 20\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 22711?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 142304502 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let w(o) = -o**2 - 6*o - 6. Let i be w(-5). Let h(d) = -d**3 + d**2. Let g(v) = -2*v**2 + 0*v**2 - v - v**3 + 3*v**2 - 2*v**3. Determine i*g(f) + h(f).\nAnswer: 2*f**3 + f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 3072861 divided by -3?\nAnswer: -1024287","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -4 - -4.2. Suppose 0 = -2*z - 3*z - 10. Which is the second biggest value?  (a) h  (b) z  (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:26 AM and 8:21 PM?\nAnswer: 595","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let n(q) = 110*q - 2. Let j = 5 - 1. Let a be n(j). Suppose -g + 75 = 4*f, -5*g - 3*f = -4*f - a. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence gg when two letters picked without replacement from gcgcggcgckg?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 4  (b) -1  (c) 1\/13  (d) 4\/29  (e) 85\/2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 305709945.\nAnswer: 3, 5, 67, 331, 919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -2 + -212213312321?\nAnswer: -212213312323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let v(h) = 3*h**3 - 2*h**2 - 2. Let l(n) = -12*n**3 + 9*n**2 + 9. Determine -2*l(z) - 9*v(z).\nAnswer: -3*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (1 - 2*i - 1)*(-9*i - 2*i + 5*i) - 1 - 3*i**2 + 4*i**2 - 2*i**2 to l*i + s + y*i**2 and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (7150\/(-975))\/(11\/6)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h(d) = 10*d + 10. Let x(c) = -2*c - 2. Suppose 0 = -3*l + 5 + 4. Give l*h(r) + 14*x(r).\nAnswer: 2*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 30194 + -13618. Calculate the highest common divisor of b and 259.\nAnswer: 259","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, 1, -11 in decreasing order.\nAnswer: 2, 1, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 719 minutes after 3:57 AM?\nAnswer: 3:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -134 + 134.5. Is h greater than 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 27\/206 and -15\/206.\nAnswer: 206","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*q - 3*o - 48 - 27, 3*q = -o + 55. Let t = -11 + 7. Let c be 45\/(-6)*t\/6. Solve q = c*n - 0*n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(b) = -3*b + 11. Let c be v(-7). What is the highest common divisor of 32 and c?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence cjj when three letters picked without replacement from {c: 2, j: 6}.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: (4\/(-22))\/((-830)\/31955)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 25871\/1385 - 22\/277. Let a = h - 451\/10. Find the common denominator of 47\/12 and a.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*r + 2 = 3*l - 2*l, -2*r - 14 = 4*l. Let x(g) = 17*g**3 - 8*g**2 - 11*g + 8. Let p(v) = 6*v**3 - 3*v**2 - 4*v + 3. Determine l*x(y) + 8*p(y).\nAnswer: -3*y**3 + y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.2, -0.47, 0.092, 2, -13 in descending order.\nAnswer: 2, 0.2, 0.092, -0.47, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.0659 and 360.82?\nAnswer: 23.778038","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 31*p - 55277*p**2 - 31*p + 35924*p**2.\nAnswer: -19353*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is -968781 divided by -3?\nAnswer: 322927","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: -474243169+0.02\nAnswer: -474243168.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Convert 4421.798ms to microseconds.\nAnswer: 4421798","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: 1216 * -0.8\nAnswer: -972.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -13 - (-11 + 4 - (-4 - 12))?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-4)\/(-12) + (-15)\/(-9). Suppose i*w + 4 - 2 = 0. What is the second smallest value in w, -2\/5, -3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (6 + -2 - 11) + (18 - 15).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l(m) = -3*m**2. Let f(w) = 9*w + 5. Let p be 10\/6*(0 + 3). Let y(s) = 4*s + 2. Let t(d) = p*y(d) - 2*f(d). What is t(l(j))?\nAnswer: -6*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Factor -i**2 + 26*i - 169.\nAnswer: -(i - 13)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 30 = 3*h + 2*h. Let f(g) = -g**3 - 7*g**2 + 2*g - 4. Let b be f(-7). Let j be (-176)\/b - (-6)\/27. Solve -o + h*o = j for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(u) = -109*u**2. Let m(c) = -56*c**2 + 36*c**2 + 10*c**2 + 11*c**2. Give m(k(f)).\nAnswer: 11881*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (35\/(-45))\/(10\/(-66)). Let r = 1739\/330 - i. Are r and -1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 98, 183, 268, 353, 438?\nAnswer: 523","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 12354 divided by 142.\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let f(n) = -3*n**2 - 70*n - 365. Determine f(-20).\nAnswer: -165","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-16*x**2 + 16*x**2 - 11*x**3)*(11 + 5 - 4) + 0*x**3 + 0*x**3 - 2*x**3.\nAnswer: -134*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 18 - (51 + -17) - -22.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 43104 is divided by 1009.\nAnswer: 726","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is -10*((-1)\/65)\/((-23)\/46)?\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1184591 is divided by 69677?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.46 and 1?\nAnswer: -0.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1\/3 in 2, 0.2, 3, -45?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in 0.7249719 nanograms?\nAnswer: 0.0000007249719","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-60)\/(-4500)*-25)\/((-20)\/6)?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 11788.98 - 11789. What is the biggest value in g, 0.5, 126?\nAnswer: 126","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(u) = 13*u - 6. Let g(q) = -12*q + 5. Let k(j) = -6*g(j) - 5*t(j). Let n(c) be the first derivative of -c**2 + 4. Give k(n(w)).\nAnswer: -14*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let w(p) = -p + 10. Determine w(0).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 102 + -12?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-65)\/(-15))\/(60\/54 - (-182)\/(-126))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(v) = -93*v + 4. Let x(r) be the third derivative of r**4\/12 - 2*r**2 + 28. Give x(t(p)).\nAnswer: -186*p + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*o + b + 7, -o + 3*o + 3*b - 12 = 0. Let a = 5 - o. Differentiate 2 - a*m**2 - 4 + 3*m**2 wrt m.\nAnswer: 2*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -h + 5*f - 6 = 2, 0 = -h + f - 16. Let z = -5 - h. Calculate the greatest common factor of 143 and z.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n**30\/n**(-19))**(-1\/54) assuming n is positive.\nAnswer: n**(-49\/54)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let o(l) = -4*l**2 - 2*l + 3 - 11*l**2 + 11*l**2 - l**3. Let h(k) = k**2 - 5*k + 4. Let a be h(4). Suppose -8*w - 13 - 11 = a. Determine o(w).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence mw when two letters picked without replacement from {w: 2, p: 5, m: 2}.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -1467*g**2*k - 1539*k wrt g?\nAnswer: -2934*g*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((((u*u\/(u\/(u*u*u**(-15)))*u)\/u*u)\/u)\/u*u*u*u)\/u*u\/u**(-12\/7))\/(u\/((u\/u**16)\/u)*u\/((u*u*u\/u**16)\/u)*u) assuming u is positive.\nAnswer: u**(-289\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let w(l) = -l - 2. Let b be w(3). Let o = 67 + -40. Suppose -5*d + 7 = o. Sort 1, b, d.\nAnswer: b, d, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 3\/41  (b) -1\/13  (c) 0  (d) 3  (e) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -v = 2*f + 2*f - 134, 64 = 2*f + 2*v. Let q = f - 26. Suppose -3*i - 2065 = -q*i. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(w) be the second derivative of w**4\/12 - 5*w**3\/3 + 11*w**2\/2 - 27*w - 15. Determine v(7).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let n(q) = -19 + 21 - 2*q**2 + 12*q**3 + 0*q**3 - 3*q. What is the units digit of n(2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(k) = 2025*k**2 + 2*k - 10. Let z(t) = -4050*t**2 - 4*t + 21. Let x(w) = -13*q(w) - 6*z(w). Let p be x(2). What is p rounded to the nearest one thousand?\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(s) = 2*s + 8. Let q(o) = 68*o**2 + 15*o. Determine u(q(x)).\nAnswer: 136*x**2 + 30*x + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let d(c) be the first derivative of c**4\/4 - c**3\/3 + 6*c + 5. What is the units digit of d(0)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify c**(-1\/6)*c**(-20)*c*c assuming c is positive.\nAnswer: c**(-109\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -13 = -r + 3*c - 3, r + 2*c = -5. Let v be 3 - -1*(6 + r). Let z(o) = -o + o - v*o - o. Let x(t) = 2*t**2. What is z(x(a))?\nAnswer: -22*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let p(g) be the second derivative of 0 - 2\/15*g**6 - 2\/21*g**7 + 0*g**2 + 0*g**3 + 0*g**4 + 2\/5*g**5 - 54*g. Let p(b) = 0. What is b?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4970 = -19*l + 12842 - 5082. Calculate the smallest common multiple of 335 and l.\nAnswer: 670","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 64829, 64823, 64817, 64811?\nAnswer: 64805","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 6 - 8 + 6*a**3 + 452*a + 3.\nAnswer: 6*a**3 + 452*a + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -1\/7, 5, 4, -39?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 13*s**2*z - 19940702*s**2 - 524061*s*z - 2*s + 1 wrt z?\nAnswer: 13*s**2 - 524061*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 685 is divided by 134.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -q - 1 = -3 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*x = 8*x + 5 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -8713092 - -8713299.99818. Let u = f + -208. What is u rounded to 4 decimal places?\nAnswer: -0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2306000 rounded to the nearest ten thousand?\nAnswer: -2310000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 1\/(14\/8 - 2). Calculate the common denominator of 4\/((-64)\/(-12)) - i\/12 and -121\/18.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -1 - 8. Let v be ((-12)\/15)\/(4\/10). Which is the smallest value?  (a) v  (b) n  (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*x + 10307 = -0*o + 5*o, -2*o + 4133 = 5*x. What is the hundreds digit of o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(b) = -531*b + 13. Give f(0).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 18975704?\nAnswer: 2, 11, 19603","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from xcchxhhhxchcccxcxhh. Give prob of picking 1 x and 1 h.\nAnswer: 35\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 363917 at least 363919?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 188 a factor of 40214803?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*d - 4*f = 1687, d = -4*f + 345 + 228. Let x = -98 + d. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(q) be the second derivative of -q**5\/10 - q**4\/2 + 16*q**3\/3 - 12*q**2 - 37*q. Suppose t(w) = 0. What is w?\nAnswer: -6, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*d - 2*j = -52, -d + 5*j = 19 - 51. Suppose 0 = -t + 3, -4*t = 2*s - t + 33. What is the remainder when (-1 + 0 + s)\/(-1) is divided by d?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 61 (base 7) to base 2.\nAnswer: 101011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 3\/(-6)*-6 - -8. Suppose h + i = 5, 2*h = 4*h + 3*i - s. Suppose -h*z + 3*z = -529. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-1375)\/(-495) + ((-9)\/3 - 0).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Round 55779500 to the nearest one hundred thousand.\nAnswer: 55800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*q = 5*y - 185, -2*q + 0*q + 178 = 5*y. Does 3 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*w + 8*w = 8. Suppose 3*y - w - 5 = 0. Let s = 12 + y. Solve k - 4*k = s for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be ((-5)\/4*2)\/(2\/(-260)). Let g be (-77 + 2\/1)\/(-3). What is the highest common divisor of p and g?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from hdqucufcudhqdc. Give prob of sequence quhc.\nAnswer: 3\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Round 90.7166247 to 2 decimal places.\nAnswer: 90.72","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 59*q = 57*q + 38. Let w(h) = -17*h**2 - 12 + 13 + q*h**2 - 4*h. What is w(4)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 49\/16 and 29\/20004?\nAnswer: 80016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 498227 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let n(u) = -2*u**3 - 18*u**2 + 2*u + 18. Let i be n(-9). Which is the nearest to i?  (a) 106  (b) -0.1  (c) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*n**2 - 1470*n - 8928.\nAnswer: 3*(n - 496)*(n + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify m**(-1\/2)*m**(-21)\/m assuming m is positive.\nAnswer: m**(-45\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.1 in 2\/3, 0, 54, 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 61, 63, 53, 25, -27, -109, -227, -387?\n\"Answer: -h**3 + 9*h + 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -4 - -4. Let y = 3 + f. Sort y, 2, 1.\nAnswer: 1, 2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 171231903.\nAnswer: 3, 19025767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let j(d) = -225*d - 3. Let w(f) = -112*f - 2. Let m be (30\/12)\/((-2)\/4). Let x(k) = m*w(k) + 3*j(k). Is x(-6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*c + 4*w + 2939 = 3*w, -2*c + 10*w = -2984. Which is smaller: c or 1466?\nAnswer: 1466","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 220 and 528?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 229 + (6\/(-10))\/(1\/5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(m) = -36*m**3 - 27*m**2 - 573*m - 162. Let u(z) = -5*z**3 - 4*z**2 - 82*z - 24. Determine -4*q(f) + 27*u(f).\nAnswer: 9*f**3 + 78*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 8 - 9. Let g be (p - (2 + 0)) + -2. Let z be g\/(-2)*8\/10. Solve z*f = f + 4 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(o) = o**2. Let u(p) = p**2. Let t = 6 + -4. Suppose -4*y + 5*y - t = 0. Suppose -3*v + 2*v - 3 = 0. Determine v*u(s) + y*r(s).\nAnswer: -s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 460397203 to the power of 1\/3, to the nearest integer?\nAnswer: 772","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*a - 12 = a. Suppose 0 = 5*j - j + a*q + 32, 4*j - q = -32. What is the remainder when 21 is divided by 1 + (4 + -2 - j)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -97780.8574 rounded to the nearest one hundred?\nAnswer: -97800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 130288749*s**5 - 18259*s**2 + 16*s + 49.\nAnswer: 7817324940*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 279 minutes before 2:47 PM?\nAnswer: 10:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 133, 134, 137, 142, 149, 158?\nAnswer: 169","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -37, -73, -111, -151?\nAnswer: -193","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2 + (((4*sqrt(72))\/sqrt(9))\/(1*sqrt(16) + sqrt(4)))**2 + -2.\nAnswer: 32\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 13 - -2 - (8 - (6 + 0)).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 12*-1*(3 + -34). Calculate the common denominator of 1\/(-2)*z\/(-66) and 1\/2 - 174\/(-44).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -25738 - -25737.9990278. What is q rounded to 4 decimal places?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 15198 and 34?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 2682 to the power of 1\/3, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -k - y + 9, 3*k - 48 = k + 4*y. Let o = -8 + 1. Let l = o - -16. What is the least common multiple of l and k?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 5*x**4 - 1260*x**3 + 59505*x**2 - 115250*x + 57000 = 0. Calculate x.\nAnswer: 1, 60, 190","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 357089?\nAnswer: 31, 11519","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -3638 + 3684 - (-1 + 43).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is -1073993 != -1073989?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -g**2*k**2 - 34*g**2*k - 284*g**2 + k**4 wrt k.\nAnswer: -2*g**2*k - 34*g**2 + 4*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -38\/57746801 and -9\/82495430?\nAnswer: 577468010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: -1255 divided by -251\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2660 - 1088 + 1228 = -56*w. What is the tens digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (10 + 7 + 4)*(-2*w**3 + 2*w**3 + w**4).\nAnswer: 21*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0 in 5, -0.08, 14?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let f(o) = 16*o**3 - o**2 - o + 1. What is the remainder when 72 is divided by f(1)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (0 + -32)\/(4\/(-6)). Let g be (b\/(-10))\/(2\/(-15)). Suppose 0 + g = i. What is the units digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (7 - (-4 - (1 + -4))) + (0 - 4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -4442243 (base 5) to base 9\nAnswer: -127670","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 1208676647 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 40424417 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 63697067033 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let x(f) be the third derivative of f**6\/120 + f**5\/60 + f**4\/24 - f**3\/3 + 3*f**2. Let o be x(-2). Is 19 a factor of (-2 - (-22)\/o)*-4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 454.8 + -466. Let n = b - -11.19998538. Round n to six dps.\nAnswer: -0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -173.04 rounded to the nearest ten?\nAnswer: -170","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: 2247007 (base 10) to base 5\nAnswer: 1033401012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 1\/8  (b) -5594  (c) 2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (b\/b**(-2))\/b**(-2\/3)*(b\/(b\/((b*b*b**(1\/3))\/b)))\/(b*b\/b**(2\/7))*((b*b**(-2)\/b)**(19\/3))**(3\/29) assuming b is positive.\nAnswer: b**(401\/203)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let w be -7 - (1\/(-2))\/((-11)\/(-242)). Let f(u) = 5 + 5*u**2 - 6*u - u**2 - 2*u**2. Determine f(w).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2919 is divided by 414?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let j(q) = -q**2 + 7*q - 3. Let o be j(6). Let i(f) = f + o - 2 + 0. Let h be i(-4). Put h, 5, 4 in decreasing order.\nAnswer: 5, 4, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: 111026400 divided by 37008800\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 3, 0.73, -2\/73, 1\/13, -2\/7, 1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 31\/12 and -64\/10809.\nAnswer: 43236","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.03?  (a) 5172  (b) -6  (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: -a22909 (base 13) to base 6\nAnswer: -212533212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 3 in -2\/5, 2\/23, 6.7, 1\/35, -5\/4?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -26*x + 30 = -29*x. Let f(d) = -d**2 - 10*d + 6. Let p be f(x). Let a(z) = z**2 - 4*z - 8. What is a(p)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(t) = -30*t**2 - 33*t - 33. Let j(q) = -q**2 - q - 1. Let s(g) = 13*g**2 + 29*g + 4. Let l be s(-2). Suppose 2*m = 118 + 14. Give l*c(p) + m*j(p).\nAnswer: -6*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-30)\/104)\/((5\/24)\/((-36)\/108))?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c(q) = 411*q + 58. Let d be c(2). Calculate the greatest common divisor of d and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 826.2 and -11410?\nAnswer: -9426942","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -118*o**3 + 0*o - 200*o**3 - 39*o**3 - 5*o.\nAnswer: -357*o**3 - 5*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 371196 and 90324360.\nAnswer: 270973080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 118*i - 89*i + 319 = 0 for i.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2.60698 litres to millilitres.\nAnswer: 2606.98","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -95\/2442 and -133\/444?\nAnswer: 4884","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let p(g) = -g**3 + 4*g**2 - 3*g + 3. Let i be p(3). Let q(b) = b + 3*b - i*b. Let c(z) be the first derivative of z**3 - 1. What is q(c(f))?\nAnswer: 3*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 35709.\nAnswer: 3, 11903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 21 and 384?\nAnswer: 2688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l**(3\/13)\/l*l**21)\/(l**(1\/3))**(2\/33) assuming l is positive.\nAnswer: l**(26011\/1287)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -26*d**2*m**4 + d**2*m + 975*d*m + m**3 - 3*m**2 wrt m.\nAnswer: -312*d**2*m**2 + 6*m - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*b + 22 = 42. What is the units digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1\/27?  (a) -4  (b) -1\/2  (c) 1\/5  (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -6*(3*sqrt(567)*4 - 5*1*sqrt(567))**2 + 5.\nAnswer: -166693","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (107 - 156 - 159)*(0 + 0 + m**3) to y*m + f*m**3 + j + n*m**2 and give f.\nAnswer: -208","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Express -220*f + 5 - 1 + 123*f - 251*f - 5 in the form y*f + m and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*h + 76129*a = 76127*a - 4, 4*a = -h - 8 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 810756788?\nAnswer: 2, 202689197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let j(w) be the first derivative of -w**5\/180 - w**4\/72 - 107*w**2\/2 - 67. Let k(p) be the second derivative of j(p). Let k(d) = 0. What is d?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 1\/(((-2)\/2)\/11). Let v(g) = -13*g + 5. Let d(o) = -7*o + 3. Let j(u) = m*d(u) + 6*v(u). Determine j(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(z) = -2*z + 6*z - 3*z - 5. Suppose 14*a - 15*a = 46. Let c = a - -49. Calculate l(c).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5 + 2 + 0)*(4*h - 3*h - 2*h)*(5 - 16 + 15).\nAnswer: 12*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-6)\/(-10) - (-308)\/20. Let f = k - -79. Suppose -3*z + 266 = 4*z. Calculate the highest common factor of f and z.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(s) = -s**2 - s + 37. Suppose -2*u - 10 = 2*j - 4*u, 4*u - 20 = -3*j. Let f be m(j). Suppose 5*k - 4*o = 218, 2 = -3*o - 19. Which is smaller: k or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*p = 6*p + 72. Let g = 30 - p. Find the third derivative of -y - y**2 + y + 8*y**4 + g*y**2 wrt y.\nAnswer: 192*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -7384, -7383, -7382?\n\"Answer: j - 7385","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: -64 divided by 4\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -99 + 100. Let c be (1\/(-2))\/(o + 54\/(-48)). Let i be (-66)\/(-10) - 4\/(-10). Solve -c*u - i = 1 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(b) = 3 - 67 - 321*b + 45*b. Let y(h) = 1379*h + 320. Let t(q) = 11*d(q) + 2*y(q). What is the derivative of t(j) wrt j?\nAnswer: -278","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -o**3 + 38873*o**2 - 155480*o + 155476 = 0. Calculate o.\nAnswer: 2, 38869","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 45\/245174 and -55\/238.\nAnswer: 1716218","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -20\/11 - -28\/11. Find the common denominator of 21\/23 and a.\nAnswer: 253","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 6 - 3. Let z(j) = -3*j + 12 - 2*j**3 - j**c + j**3 - 7*j**2 + 3*j**3. Is z(8) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in eleven tenths of a litre?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 11 + 21*7\/(-21). Solve -f*n + 0*n + 16 = 0 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-2)\/(-8) + 5202\/(-8). Let s = -10 - a. What is s rounded to the nearest 100?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n**(-23)\/n*n**(-2\/47)*n)\/(((n**(-22)*n)\/n)\/(n*n**(6\/7)*n)) assuming n is positive.\nAnswer: n**(597\/329)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 104141, 103318, 102495, 101672, 100849, 100026?\n\"Answer: -823*j + 104964","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*q = 2*d + 7, -2*d + q = 8 + 1 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -84, -379, -680, -987?\nAnswer: -1300","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is (12\/(-10))\/(((-2867)\/(-235))\/61)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 23748793 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 4848 and 1229170?\nAnswer: 29500080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let k(o) = 28*o + 483. Let d be k(-17). Solve 4*v - d = 5*v - 2*q, -4*q + 20 = 0 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(w) = -w**2 - 19*w - 100. Let y(k) = -2*k**2 - 38*k - 200. Let q(r) = 5*x(r) - 3*y(r). Does 13 divide q(-29)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 10703328 by -334479.\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let x(f) = f**3 + f**2 - f + 1. Let m(a) = 11*a**3 - 63*a**2 + 75*a - 19. Let w(z) = m(z) + 3*x(z). Determine r so that w(r) = 0.\nAnswer: 2\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(f) = -9*f**2. Let k(m) = -2*m. What is p(k(x))?\nAnswer: -36*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {d: 1, a: 2, i: 5, o: 1, w: 9}. What is prob of sequence awwi?\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let i(l) be the third derivative of l**5\/15 - l**4\/12 + l**3\/6 - 2*l**2. Let f be i(2). Let x = -8 + f. Solve 3*m - x = 5*y, y = -y - m - 2 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 4 - 1. Suppose p = 4*f - 4, -2*p = -3*p + 4. Factor -14*w**4 + 8*w**5 - 2*w**3 + 4*w**3 + 0*w**s + f*w**2 + 2*w**3.\nAnswer: 2*w**2*(w - 1)**2*(4*w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-2)\/39)\/(5248\/(-17056)).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 1 - -15. Calculate the greatest common divisor of 128 and b.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*h - 8*h - 5*c + 26, h - 2*c = 0. Let w(v) = v**3 - 5*v**2 + 3*v - 6. Give w(h).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -3 - (1 + -5 - 5 - 0).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 937575 to the power of 1\/2, to the nearest integer?\nAnswer: 968","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 44 - 36. What is the biggest value in l, 1\/7, -4?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 274751032?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-7)\/(-7 + 3 - -3) - 1. Let m be (2\/(-3))\/(f\/(-18)). Suppose -4*l - 21602 = m*i, -3265 = -2*l - 2*i - 14067. Round l to the nearest 1000.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence amx when three letters picked without replacement from {x: 1, m: 1, a: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {u: 9, g: 1, p: 4}. What is prob of picking 2 u and 1 g?\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let x(y) = -y**3 + 13*y**2 + 230*y + 17. Let l be x(23). Sort -4, l, 3, -1.\nAnswer: -4, -1, 3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 164 - 57. Is n a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(r) be the third derivative of -13*r**8\/84 + 3*r**6\/40 - 2045*r**4\/24 - 157*r**2. What is the second derivative of g(a) wrt a?\nAnswer: -1040*a**3 + 54*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 388928 and 59?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -23 - -73. Let a = 99 - v. Calculate the remainder when a is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 37774703 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 4921006 to the power of 1\/3, to the nearest integer?\nAnswer: 170","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-3 - -11 - 10) + -38 + -3 + -2.\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 153578947?\nAnswer: 59, 2603033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-5 - 55\/(-10))*52. Solve -5*b + 4*f = o, -5*b - 5*f + 16 - 6 = 0 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 1212 - 12?\nAnswer: 1200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 10 + 203002011?\nAnswer: 203002021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Total of -2361.359 and 0.1.\nAnswer: -2361.259","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 14 - 4. Let v(u) = -u**3 + 9*u**2 + 10*u + 4. Let q be v(s). What is the second derivative of -5 + 5 + 2*w**4 - 4*w - w**q wrt w?\nAnswer: 12*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 5*((-1674)\/90 + 18).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(y) = 0*y + 31*y**2 + 2 - 40*y**2 + 9*y. Let a(h) = h**2. Let r(v) = -4*a(v) - k(v). Does 22 divide r(5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 y and 1 f when two letters picked without replacement from {f: 4, d: 10, y: 2}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let r(d) = d**3 + 15*d**2 - d + 270. Suppose 2*n + 2*n = 0. Let g(m) = -m**3 - m**2 + 88. Calculate the remainder when g(n) is divided by r(-16).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 19*1 - 39\/13.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many microseconds are there in fourty-five eighths of a millisecond?\nAnswer: 5625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-5 + 3 + 12)*(-2*o + 2*o + 3*o) + (0 - 2 + 3)*(3*o - o - 4*o))*(-3*o**4 + 2*o**4 + 4*o**4).\nAnswer: 84*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*q - 51 = 3*q. Let u = -48 + q. What is the second derivative of -14*x**2 - 2 + 5 + 5*x - u wrt x?\nAnswer: -28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(s) = -s**3 + 71*s**2 - 986*s + 27. What is g(19)?\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -11 - -19. Suppose 3*a + 3*x - 3 = 54, -4*x - m = 0. Suppose 6*w - 25 = w. Solve -2*o + y - 10 = -y, 0 = o - w*y + a for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(g) = g**2 + 17*g - 5. Let j(b) = -8*b + 2. Let a(n) = 2*i(n) + 5*j(n). Factor a(q).\nAnswer: 2*q*(q - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -958, -4621, -14550, -33877, -65734, -113253?\nAnswer: -179566","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 1 at most as big as 2\/34713?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 1458 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let n be -2*(6\/3 - 4). Let f be n - (-1 + 0 + 2). Let v(c) = -4*c. Calculate v(f).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*l + 4*l - 18 = 0. What is the smallest common multiple of (l + -7)*(-2)\/4 and (4\/2)\/(2\/14)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1896 - 341 = -366*l - 407 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 74312613917 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose w + 9 = -0*w. Let b(t) = t**2 - 9*t + 7. Let x(y) = y**2 - 1. Let n(c) = b(c) - 2*x(c). Is n(w) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 0.1817 + -0.2817. Let h = 0.07 - -0.93. Which is the closest to h?  (a) x  (b) -0.07  (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 30, -0.7, -3?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 31553 is divided by 1260?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is (-2*3\/126)\/(8\/48)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 118 or 120?\nAnswer: 120","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1 + (sqrt(91)\/(sqrt(112) + sqrt(7)) - (sqrt(325) + sqrt(13) + 3))**2 + 3 + -2.\nAnswer: 174*sqrt(13)\/5 + 11158\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 2*a**2 - 95268*a + 492071 wrt a.\nAnswer: 4*a - 95268","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let l(d) = -d**3 - d**2 + d + 4. Let s be l(-4). Let j(b) = -s*b - 13 + 10 + 2*b**2 + 53*b. What is j(-5)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(d) = -2*d**3 + d**2 - 2. Let v(f) = -1. Let i = 53 + -54. What is i*l(a) + 2*v(a)?\nAnswer: 2*a**3 - a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 4084986 to the power of 1\/3, to the nearest integer?\nAnswer: 160","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: 1670410 (base 8) to base 3\nAnswer: 220202222112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 987*m**3 - 42*m**3 + 755*m**3.\nAnswer: 1700*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -272 = -4*l + 220. Suppose -4*a + 155 = 415. Let n = a + l. List the prime factors of n.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(w) = 1207*w - 357327. Calculate p(296).\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 1387202*q*s + 226957838*q - s wrt s?\nAnswer: 1387202*q - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 162 + 177 + 6*h**2 - 246 to the form a*h**2 + x*h + s and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let q(p) = -30*p**4 - 3*p**3 - 4217*p**2 + 8. Let g(m) = -2*m**4 - m**3 - m**2 + 3. Let o(f) = -3*g(f) + q(f). Find the third derivative of o(s) wrt s.\nAnswer: -576*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 6063736 divided by 159572.\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -82530\/23 or -3588?\nAnswer: -82530\/23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:42 PM and 12:04 AM?\nAnswer: 142","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let 0*n + 0 - 60\/11*n**3 - 2\/11*n**4 - 112\/11*n**2 = 0. What is n?\nAnswer: -28, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -32668216, -130672871, -294013962, -522691489, -816705452?\n\"Answer: -32668218*r**2 - r + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is (-2 + 0)*(-7 + -4)\/(-22) - -2?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 570953.\nAnswer: 101, 5653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.1?  (a) -11\/13  (b) -5  (c) 2\/13  (d) -40  (e) 577\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose c = j + 103, 0 = -5*c + j - 190 + 721. Is c a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(q) = 13*q + 4. Let o(g) = 493*g + 153. Let s(j) = -153*k(j) + 4*o(j). Let x(v) = v**2. What is s(x(i))?\nAnswer: -17*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 34 + 23 + 67 = 31*t. Which is the closest to 1?  (a) -202  (b) 0.1  (c) t  (d) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 1243, 1\/3, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-3)\/5*70\/14. Sort y, -5, 1 in decreasing order.\nAnswer: 1, y, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(w) = 22*w - 282. Determine v(29).\nAnswer: 356","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence zq when two letters picked without replacement from ubpzqquzpupuuu.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let m(u) = -167*u. Let n(b) = 503*b**2 + 509*b**2 - 1011*b**2. Give n(m(h)).\nAnswer: 27889*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*h + 15 = 3*h. Let r = 20 - -8. Let o = h + r. List the prime factors of o.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*s - 5*s + 30. What is the smallest common multiple of ((-11500)\/6900)\/(10\/(-42)) - -1*103 and s?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -355 - -208. Let v = 245 + f. What is the units digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -13\/2046 at least 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((132\/(-8))\/(-3))\/(-1)*-48*(-9)\/72.\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 111 is divided by 28?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 1459885, 1460317, 1460749, 1461181?\nAnswer: 1461613","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*b = 2*i - 6, 441*b = 438*b + i - 3. Solve b = -259*d + 262*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (12\/9)\/(6\/9). Calculate the highest common factor of 18 and q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ddu when three letters picked without replacement from {d: 2, u: 1}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 159724?\nAnswer: 2, 73, 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 23680 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -3*t**4 + 2859*t**3 + 7984*t**2 - 2*t + 3?\nAnswer: -72*t + 17154","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.1 in 3, -0.6, -5?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 55\/2 of a century in months?\nAnswer: 33000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2\/27, 25\/78, 0.3, 1\/11.\nAnswer: 2\/27, 1\/11, 0.3, 25\/78","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 14\/31, -4, -0.17, 4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Put -3, -160, 5, 2, -4, 12 in descending order.\nAnswer: 12, 5, 2, -3, -4, -160","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-934)\/(-135) - 4\/10. Let o = -263\/108 + n. Let d = 4591 - 73409\/16. What is the common denominator of d and o?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify t**(-9)\/((t*t\/t**(-8))\/t)*(t**(-1\/4))**(-1) assuming t is positive.\nAnswer: t**(-71\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 101488, 811885, 2740112, 6495085, 12685720, 21920933, 34809640?\n\"Answer: 101486*m**3 - m**2 - 2*m + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -4\/871 - 13868\/14807. Let k = f - -146\/119. Let a(j) = -j**3 - 4*j**2 - 3*j. Let r be a(-3). Is r at most k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 98 divided by -3599513.\nAnswer: -98\/3599513","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*x - 1207 = 3*x - 64. Is x a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(v) = -15*v**3 - 5*v**2 - 10*v - 18. Let u(p) = p**3 + 29*p**2 - 63*p - 35. Let y be u(-31). Does 22 divide b(y)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1 divided by 60331051.\nAnswer: 1\/60331051","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 4 + 545510135?\nAnswer: 545510143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is -100 divided by -25?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 227*l**3*s**2*z - l**3*s*z**2 - l**2*s**2*z**3 - 3*l*s*z**3 + 23*l + 2*z**3 wrt s.\nAnswer: 454*l**3*z - 2*l**2*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 47220 and 1920?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 9 + (0 - (1 - 1) - 3).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*g + 8275 - 8267 = 0, 2*x = 4*g - 8 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -ee3 + 4?\nAnswer: -ede","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 1\/7 bigger than 552076?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*i**2 + 2*i**5 + 2*i**2)*(-2 + 9 + 15) - 15*i**5 + 9*i**5 + 14*i**2 + 3*i**5.\nAnswer: 41*i**5 + 14*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let t(d) = -d**2 + 8*d + 20. Let x(w) = -2*w**2 + 9*w + 20. Let p(m) = 3*t(m) - 2*x(m). Is p(-5) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is a6c (base 13) in base 7?\nAnswer: 5122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l(n) = -2106*n**2. Let u(g) = -2*g. Give u(l(z)).\nAnswer: 4212*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*r**4 - 32880*r**3 - 53359830*r**2 + 2284798320*r - 24143605605.\nAnswer: -5*(r - 21)**2*(r + 3309)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -633101 - -12?\nAnswer: -633067","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*k - 30 - 10 = 0. Let v be k\/(-10) - 57\/(-15). Let m be (92\/(-69))\/((-2)\/v). Solve 2 - 12 = -m*q - 5*w, -4*q = -5*w - 20 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*c - 3*c + 4 = 0. Let k = c + -7. Put k, 5, -2 in decreasing order.\nAnswer: 5, -2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 13 - 8. Let d(h) = h - 2. Let j be d(y). Suppose 0 = -2*f + j*f - 5. Solve 0 = 4*m - 4*b + 12, -3*m - 2*m - f*b = -25 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 30, 216, 0.1435 in decreasing order.\nAnswer: 216, 30, 0.1435","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 21 and 24?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.5*201144.\nAnswer: 100572","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -441, -885, -1321, -1743, -2145?\nAnswer: -2521","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 11579714 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 1 not equal to 85?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.2, -661, 4, 0.16, -14, 2\/15 in decreasing order.\nAnswer: 4, 0.2, 0.16, 2\/15, -14, -661","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -84844077*w**3 - 63*w**2 - 527720?\nAnswer: -509064462","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -346, -2.51, -3\/8, 7, 2\/19?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let p(a) = 714*a - 61. Is p(77) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(r) = -9*r - 4. Let g(q) = 10*q + 5. Suppose 4*b + 16 = -3*n, b + 3*b - 5*n = -48. Let o(f) = b*i(f) - 6*g(f). Calculate o(-6).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 3.1  (b) -0.5  (c) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Product of 21.45 and -4.\nAnswer: -85.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 9\/(-3) + (-2)\/4*-10?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(y) = -2*y**2 - 8*y - 3. Determine q(-5).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Total of 5 and 5277494.\nAnswer: 5277499","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let f(d) = -492*d + 1539. Let z(s) = 2079*s - 6155. Let r(j) = 9*f(j) + 2*z(j). What is the derivative of r(g) wrt g?\nAnswer: -270","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -35*n - 180 = -45*n. Solve 0 = -6*o + 12*o + n for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 126 * 0.05.\nAnswer: 6.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -22*i**3*y**2 + 4*i**3*y + 486*i**3 + 2*i**2*y + 3*i*y + 79*i - 21*y**2 wrt i?\nAnswer: -132*y**2 + 24*y + 2916","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -880 + 885. Solve -t*z + 2*k + 3 = 0, -3*k + 4*k + 1 = 3*z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(104)*-2*-5 + sqrt(104) - (sqrt(104) - -1*sqrt(104)*-2))\/(sqrt(288)*-3*5) + 2.\nAnswer: -2*sqrt(13)\/15 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 67 + -65. Solve 2 = -g + p, 3*g - 3*p - a*p = -12 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 4460 to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 516514482 a multiple of 81?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -f + t - 36 = 0, -3*f = 2*f + 3*t + 188. Let w = f - -43. Let s(c) = -c**3 - 4 - 7*c**2 - 7*c + 7*c**2 + 5 + 7*c**2. Calculate s(w).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*z = h - z + 2, 0 = -4*h - 5*z + 28. Suppose -h*w + 8 = -0. Solve -10 = -3*f - w*d + 9, -5*d = 3*f - 23 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 362324 to the power of 1\/2, to the nearest integer?\nAnswer: 602","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -43565 + 2613757\/60. Find the common denominator of d and 12844\/342*(-1)\/(-20).\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(c) = 2*c**2 + 3*c + 1. Determine v(0).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 z and 2 w when three letters picked without replacement from {l: 1, z: 2, v: 5, o: 1, w: 3}?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 10 - 3. Let k = l - 4. What is the common denominator of (k\/(-24))\/(15\/(-1332)) and 137\/6?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1058 (base 16) in base 13?\nAnswer: -1b9b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 6167106 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 588 minutes after 11:14 PM?\nAnswer: 9:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -450 + 4978\/11. Let z(t) = 16*t**3 + 5*t - 6. Let x be z(1). Suppose -y = q - x + 11, -4*y + 11 = -q. Which is greater: k or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 299264948*i**4 - 91844534?\nAnswer: 1197059792*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let c(f) be the first derivative of -f**4\/2 - 16*f**3\/3 - 11*f**2 - 7*f - 3. Is c(-10) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(q) = -268*q**2 - 64589*q - 177. What is u(-241)?\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 53, -179, -567, -1111, -1811, -2667?\n\"Answer: -78*u**2 + 2*u + 129","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 0 - -34 - (835 - 816) - -3?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -c (base 15) to base 12\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 221 a factor of 2715648?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (2\/(-42)*4)\/(-2).\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -44 - 12 = -4*q. Suppose -33 = -4*z + z. Let m = 9 + z. Calculate the smallest common multiple of q and m.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -4\/11 + -47\/22. Let g = -3004 - -3000. Put g, y, 0.1, -2\/7 in descending order.\nAnswer: 0.1, -2\/7, y, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 17*k = 2*k. Let o(j) be the second derivative of 0 + 0*j**4 + j - 1\/30*j**6 + k*j**3 - 3\/2*j**2 + 0*j**5. Find the first derivative of o(t) wrt t.\nAnswer: -4*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 21\/5 + -179\/45. Let n = 6 + -6.08. Let h = -4.08 - n. Which is the second biggest value?  (a) h  (b) w  (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -14476, -14469, -14428, -14335, -14172?\n\"Answer: 3*b**3 - b**2 - 11*b - 14467","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"}
{"text":"Question: What is -265241534 plus -0.1?\nAnswer: -265241534.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 29?  (a) -1\/5  (b) -4  (c) -2  (d) -635\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -78610000 = 33*n - 26*n. Round n to the nearest one million.\nAnswer: -11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(u) = -u**2 + u + 42. Let s be g(-5). Is 2*2\/s + 17376\/9 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*b**3 - 15 + 15 + (b + 2*b - 2*b)*(2 - 2 + 8*b**2))*(-5 + 4 - 2).\nAnswer: -33*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -45 from -0.0782.\nAnswer: 44.9218","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 5165292382.\nAnswer: 2, 2582646191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 14725*y**3 + 31193*y**3 + 1314*y**3.\nAnswer: 47232*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -35 + 22. Let p = -9 - y. Let c be (0 + 2)*1\/(-6). Sort p, 5, c in descending order.\nAnswer: 5, p, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(w) = -3*w**3 - 4*w**2 + 11*w + 32. Suppose -5*a - 15 = 0, 2*p - 7*p + 5*a - 15 = 0. List the prime factors of c(p).\nAnswer: 2, 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 25 + -19. Let k(v) = -11*v - 1 + 7 + 3*v + r*v. Determine k(4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 24 - 11. Suppose -2*f + 5*x = y, 0 = -3*f + x + 4*x - 12. Solve -17 = -5*h - 2*z, 0 = -z - f + 2 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 2 - -4. Calculate the greatest common divisor of 54 and n.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -715, -1141, -1797, -2713, -3919, -5445, -7321?\nAnswer: -9577","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -19\/865856 and -13\/46944.\nAnswer: 7792704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-4)\/8 + 3154\/2100 + -1. Let o(h) be the third derivative of -1\/100*h**6 + 0*h + 0 - g*h**7 + 0*h**3 - 2*h**2 - 1\/75*h**5 + 0*h**4. Factor o(x).\nAnswer: -2*x**2*(x + 1)*(x + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y**(9\/4))**(6\/7)*y**(8\/5)\/(y*y**(-18)) assuming y is positive.\nAnswer: y**(1437\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-109)\/(-9) + 1 + (-40)\/36. Solve -i = 5*b - 2*o, 4*b + 3*o + 24 = o for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:20 AM and 6:33 AM?\nAnswer: 313","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: 70162716 divided by 348\nAnswer: 201617","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1125?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: (9 + -2 - 2) + 58 + -29 + 9\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1 = k, 3*k = -5*b + 22 - 5. Suppose -70*v + 8 = -66*v. Solve -3*x - 8 = 4*f, 15 = -b*x - v*f + f for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 9 + -1 + -25 + 11 + 18\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 195 + 6*i + 17 - 34.\nAnswer: 6*i + 178","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let i(g) = 7*g. Let a(h) = -h**2 + 12*h - 8. Let b be a(11). Suppose -w = -5*w + b*w. Let c(s) = s - s + w*s - 4*s. Calculate i(c(q)).\nAnswer: -28*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 o and 2 v when three letters picked without replacement from {o: 2, p: 2, a: 3, v: 13}.\nAnswer: 13\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2\/3?  (a) -8  (b) 3  (c) 0.057\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x**(-1\/4)\/x)**(5\/8)*x**(-5)*x**5*x*(x*x*x*x**(-1\/2)\/x*x)**(-9\/4)*(x\/x**0)\/((x*x**(-3)*x)\/x) assuming x is positive.\nAnswer: x**(-77\/32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let o(t) be the second derivative of 5*t**7\/21 + t**4\/6 + 4*t. What is the third derivative of o(p) wrt p?\nAnswer: 600*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 95328 a multiple of 331?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let r(s) = -s**2 - 3. Let n(t) = -2 - t**2 - 3 + 3. Let p(f) = -f**2 - 7*f + 2. Suppose -h - 2*h - 21 = 0. Let z be p(h). Calculate z*r(v) - 3*n(v).\nAnswer: v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is (-7 + 6)\/((4 - -8)\/(-264))?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in 13\/8 of a week?\nAnswer: 16380","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 - 10 - (-1 - (0 + 6))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-9)\/(3*3\/(-9)). Suppose 13863 = v*q - 10347. What is q rounded to the nearest one hundred?\nAnswer: 2700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(v) = 230*v - 230*v + 50*v**2. Let m(h) = h. Determine m(j(y)).\nAnswer: 50*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 0*f**3 - 2*f - f - 3*f**3 - 3*f**2 + 2*f**2 + 4*f**2 to the form u*f**2 + j*f + c + m*f**3 and give u.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -26280 - -26285. Let x(c) = c**3 - 2*c**2 - 3*c + 2. Let w(k) = 2*k**3 - 3*k**2 - 5*k + 3. Determine o*x(h) - 3*w(h).\nAnswer: -h**3 - h**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 28155450673 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4*((4 + (sqrt(1053) + 0 + -4)*-3 + -4)*-2 + -4)**2.\nAnswer: -154768 + 12096*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*x - 22 = -5*o, -2*o + 19 = 2*x + 3*x. Let j(p) = x + 224999*p**2 - 2*p - p + 1. Let t be j(-4). Round t to the nearest one million.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((p\/(p*p**21)*((p*p**(-1\/22))\/p)\/p)\/(p**(-1\/3)*(p*p**(4\/3)\/p*p)\/p))**(-1\/7) assuming p is positive.\nAnswer: p**(507\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 280784?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 194 - 194. Suppose u = -2*b - 2, 19*b - 57 = -3*z + 16*b. Calculate the greatest common divisor of 230 and z.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(x) be the first derivative of -31*x**5\/10 - 20*x**3\/3 - 34*x - 10. Let z(h) be the first derivative of q(h). Find the second derivative of z(b) wrt b.\nAnswer: -372*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-2)\/(-5) + (-18)\/(-5). Let w be ((-10)\/m)\/((-3)\/66). Calculate the remainder when 16 is divided by 1\/2 + w\/10.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 38710?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 5893.078 millennia in years?\nAnswer: 5893078","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort 39, -4, -21190.\nAnswer: -21190, -4, 39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 29407 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (281 - 320) + (4 + 1 - 46).\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 50796.227 times -1?\nAnswer: -50796.227","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2 in -254, -4, -8, 1874?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -42, -50, -52, -42, -14, 38?\nAnswer: 120","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 303 a factor of 2537875278?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.6 + -663414296.4.\nAnswer: -663414295.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*t - 5*w + 2, 3*w - w + 2 = 2*t. Let g = -1\/79 - -398\/237. Is g smaller than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 2 + (1 - 7) + 2. Let n be 0 - (25\/j)\/(-5). Let x = 280557\/5 - 56111. Which is the nearest to x?  (a) 2  (b) n  (c) -3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 989 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1709883667?\nAnswer: 1709883667","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 6 + 21\/((-238)\/49 - -5). What is the highest common divisor of d and 204?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -105, -99, -95, -93, -93, -95?\n\"Answer: -n**2 + 9*n - 113","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3029005672.\nAnswer: 2, 7, 11, 4917217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00045509392 rounded to 7 decimal places?\nAnswer: -0.0004551","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand (10*f - 31*f - 77*f)*(f + 2 - 2) + 5*f**2 - 4*f**2 - 3*f**2.\nAnswer: -100*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let u(o) = o - 3. Suppose -4*n = -14 + 2. Let r be u(n). Let x = 63 - 505\/8. Which is smaller: x or r?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -150 times 1.452?\nAnswer: -217.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: 236 - -11411\nAnswer: 11647","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Factor -54\/5*o + 243\/5 + 3\/5*o**2.\nAnswer: 3*(o - 9)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: 913731 divided by -13\nAnswer: -70287","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 43804947?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -1327, -1328, -1329, -1330, -1331, -1332?\n\"Answer: -m - 1326","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 f and 1 s when three letters picked without replacement from snnfcsfjccncfn.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 - 2 - 1)*(3*g**3 - 7*g**3 + 3*g**3) + 8608*g**3 - 16099*g**3 + 9120*g**3.\nAnswer: 1630*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify i\/((i\/((i\/i**30)\/i))\/i)*((i**(-18)*i*i*i)\/i)\/i*i assuming i is positive.\nAnswer: i**(-45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -4  (b) 3  (c) -0.3  (d) -26.403  (e) -2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let x(o) be the third derivative of -o**5\/5 - 3*o**4\/8 + o**3\/2 - 252*o**2. Determine r so that x(r) = 0.\nAnswer: -1, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -12560\/23 - -546. Let a = 2.56 - 0.16. Let i = -2 + a. Sort w, -2\/5, i in decreasing order.\nAnswer: i, w, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -87.2, 3\/5, -1\/4, 2\/7 in decreasing order.\nAnswer: 3\/5, 2\/7, -1\/4, -87.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -69 from -523763926.\nAnswer: -523763857","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 46\/3737 and -71\/123321?\nAnswer: 123321","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: 39793219 divided by -6\nAnswer: -39793219\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -w + 18 = 6. Let k = w - -28. Let i be ((-8)\/(-110))\/((-16)\/k). Which is the second smallest value?  (a) -2  (b) 0.03  (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(44)\/sqrt(4) + sqrt(11) - sqrt(11))*4*6 + 3)*-4*4.\nAnswer: -384*sqrt(11) - 48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is (-35)\/(3675\/(-18))*14?\nAnswer: 12\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is (10\/(-2))\/60*(-16)\/(-10)?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 201029034?\nAnswer: 2, 3, 113, 296503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 647.74149 - -5?\nAnswer: 652.74149","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -43188, -86371, -129554, -172737, -215920?\nAnswer: -259103","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2010 - 568 = -36*m - 170*m for m.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is -3035112 (base 7) in base 5?\nAnswer: -43040143","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*i**3 + 4683*i**2 - 66003*i + 231525 = 0.\nAnswer: -1575, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -800.0188838 + -0.05?\nAnswer: -800.0688838","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is b + -24?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 4491 - -39264. List the prime factors of p.\nAnswer: 3, 5, 2917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 3723 + -3605.88. Let g = -117 + l. Which is the smallest value?  (a) -0.2  (b) g  (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((k\/((k*k\/(((k*(k\/k**(-1\/2))\/k)\/k)\/k)*k)\/k)*k)**(1\/22))**(-1\/50)*k**0*k*k**(-4)*k*(k\/((k\/k**(1\/4))\/k))**(12\/5) assuming k is positive.\nAnswer: k**(2201\/2200)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 3*j**2 + 28*j - 943 wrt j.\nAnswer: 6*j + 28","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -1881 and 10.\nAnswer: -18810","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 527 is divided by 61?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: -0.03+894\nAnswer: 893.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) 3\/5  (b) -1  (c) 2  (d) 12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let d(n) be the third derivative of 3*n**2 - 1\/140*n**5 + 1\/280*n**6 + 1\/490*n**7 + 12 - 1\/56*n**4 + 0*n**3 + 0*n. Factor d(w).\nAnswer: 3*w*(w - 1)*(w + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 49\/876 and -105\/3128.\nAnswer: 685032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w\/(w*(w*w\/(w\/w**(-4\/9)))\/w*w))\/w*w**(2\/3)\/w*((w\/(w**(-1)*w))\/w)**(-39) assuming w is positive.\nAnswer: w**(-17\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -139*t + 70 = -274*t + 170*t. Find h, given that -4*h + 2\/9*h**t + 0 = 0.\nAnswer: 0, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, -2, -0.5, -15 in increasing order.\nAnswer: -15, -2, -1, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -379 + 385. What is the greatest common factor of l and 19?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put together -0.3834 and 0.0287.\nAnswer: -0.3547","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 19 (base 10) in base 11?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.6?  (a) -0.1  (b) 5  (c) 0.07  (d) -42.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let -10*l**2 - 296*l + 120 = 0. Calculate l.\nAnswer: -30, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 326820?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 41 a factor of 20359862?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of a*l*r*s**3 - 26*a*l*r*s**2 - a*r*s**2 - 2*a*s**3 + 3*l*s**3 - 2*r*s wrt s?\nAnswer: 6*a*l*r - 12*a + 18*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-9 - -4)\/(-80)*2*6.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 24 = -18*o + 10*o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*i = 3*o + 7, 5*i - 4 = -3*o + 9. Suppose 0 = 4*q + i*g + 271 - 1287, -268 = -q + 3*g. Calculate the greatest common divisor of q and 32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((((c**(1\/4)\/c)\/c)\/c)\/c**(2\/7)*(c**(-2)\/c)\/((c**7\/c*c*c)\/c))**(-2\/45))**(-43) assuming c is positive.\nAnswer: c**(-3139\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let k(g) = -713*g - 721*g + 3 + 3*g**2 + 1418*g. Give k(5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 14.4052 - 15.983. Round j to 1 dp.\nAnswer: -1.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 142 <= 142?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*c + 4, 4*d - 3*d - 134 = -2*c. Is 6 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: 10174 (base 9) to base 5\nAnswer: 203314","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s(k) be the second derivative of k**5\/20 + k**4\/6 - k**2 - k. Let w be s(-2). Let n = 2 - w. What is the units digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-8)\/(-150)*-5)\/((-4)\/10)\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -112 - 74 = -31*u for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 100086 - 100101. Let a(s) = -19*s. Let f be a(-2). Suppose 0*r + 4*m = 5*r + 49, 0 = -2*r - 3*m - f. Is r bigger than l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 18 + -12. Suppose w*v = 3*v. Determine q so that -2\/7*q**3 + v + 2\/7*q + 0*q**2 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -3.34 + -1.66. Which is the nearest to -1?  (a) z  (b) -1  (c) -19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 42c7 (base 15) to base 9\nAnswer: 21347","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express -1258*k**2 + 753*k**2 - 1470*k**2 + 7 - 7 in the form x*k**2 + l + z*k and give x.\nAnswer: -1975","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -97180897*i**4*j**3 - i**3*j + 2186082*i**2*j**3 + 4 wrt i.\nAnswer: -2332341528*i*j**3 - 6*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let p(d) = -d**2 - 21*d - 61. Suppose -545 = 25*j - 120. Calculate p(j).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -16 + e6?\nAnswer: d0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1851237.\nAnswer: 3, 53, 3881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is -292200 divided by 36525?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 364*z + 11593 - 2493 for z.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -103 = -5*f - 3*l, -3*l + 7*l + 56 = 3*f. Let p be -1*(-5 - f\/(-5)). What is the units digit of p + 4 + 6\/1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 45*x - 5*x**2 - 45*x - 17 + 3*x**2 + 17 + (x + 0 + 0)*(0*x + 4*x - 5*x) + (3 - 3 - 2*x**2)*(3 + 3 + 0).\nAnswer: -15*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -139 - 4ea?\nAnswer: -623","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 0 + 7\/((-7)\/(-16)). Solve 2*a - 4*f = -2*a + 16, 0 = -5*a + f + c for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3205079 to the power of 1\/2, to the nearest integer?\nAnswer: 1790","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: How many days are there in 35.59311 weeks?\nAnswer: 249.15177","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 371 minutes after 7:41 AM?\nAnswer: 1:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -4029, -4684, -5339?\n\"Answer: -655*r - 3374","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r(c) = 203343*c. Let a(k) = -402*k**2. Determine a(r(s)).\nAnswer: -16622047010898*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 2564802797 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Express 23*d**3 - 19*d**3 - 10*d**3 + (0*d + 39*d + 4*d)*(-51*d + 52*d + 3*d**2 - 7*d**2) in the form g*d**2 + o*d + b*d**3 + l and give b.\nAnswer: -178","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 5048 is divided by 234?\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 5811776 is divided by 784.\nAnswer: 768","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in thirty-four fifths of a litre?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*q - 8 = -4 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 2329549 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let g(l) = l**3 - 2*l + 6. Let i be g(-2). Solve s - r - i*r = -5, -5*s = -2*r - 1 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -30, -1187, -3372, -6579, -10802, -16035, -22272, -29507?\n\"Answer: g**3 - 520*g**2 + 396*g + 93","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 11599 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((d*d\/((d**(-1\/4)*d)\/d))**(-45))**(-13))**(15\/4) assuming d is positive.\nAnswer: d**(78975\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {y: 3, j: 2, w: 7, a: 5, f: 3}. What is prob of sequence awwa?\nAnswer: 7\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 0.20384 - -156.10616. Let c = -157 + k. Round c to one decimal place.\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 3\/79 + -185\/711. Is -4 >= g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(q) = 4*q + 2 + 2 + 1. Let c(b) = -b**2 - b + 3. Let k be c(-2). Let a(y) = y + 1. Determine k*i(n) - 6*a(n).\nAnswer: -2*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is -666604 divided by 4?\nAnswer: -166651","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (3\/9)\/((-155)\/(-93)).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j(s) = -66*s**3 - 820*s**2 + 2549*s - 20. Determine j(-15).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence uunu when four letters picked without replacement from nnuuuuuuuuunuuu?\nAnswer: 11\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Determine a, given that 2*a**3\/7 + 82*a**2\/7 - 52912*a\/7 - 52992\/7 = 0.\nAnswer: -184, -1, 144","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ddddddddd. 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 f(n) be the third derivative of -n**7\/2520 - 31*n**4\/8 + 114*n**2. Let v(l) be the second derivative of f(l). Let a(q) = -85*q. What is a(v(r))?\nAnswer: 85*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1206501?\nAnswer: 3, 113, 3559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 2\/(9\/(1143\/2)). Let y = g - 109. What is the third derivative of 7*d**2 - 19*d**6 - y*d**6 + 29*d**2 - d**2 wrt d?\nAnswer: -4440*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-18)\/28 + 59\/(-118).\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 32 - 23. Suppose -j + 3*h = -q, -37 = -4*j + j - h. Suppose 3*v - j*v = -7893. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3*(sqrt(4)\/((sqrt(2) + sqrt(32))*2)*1 - (sqrt(20) - sqrt(80)\/(sqrt(4) + 2*sqrt(4)))\/((sqrt(30) - sqrt(30)*-2 - sqrt(30))\/sqrt(3))).\nAnswer: 7*sqrt(2)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 4 + (15*(-14)\/(-1715))\/((-3)\/84). What is the closest to -3 in 6, n, 2?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*h + 60*o - 9 = 61*o, h + 5*o = 0 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 15*n**3 - 7*n**3 + 28*n**3.\nAnswer: 36*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -310 - -33200?\nAnswer: 32230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 6008 - 5986. Let j = -12 - -32. Calculate the least common multiple of q and j.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 6.77 less than or equal to 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 49 minutes before 3:33 PM?\nAnswer: 2:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 255 = -4*v - 22*q - 337 + 256, -13*q - 212 = -v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let o(c) = -c**2 - 6. Let b = -5 + 10. Suppose -b*x + 33 = 2*q, 2*x - 5*q - 14 - 5 = 0. Let l(p) = -p**2 - 5. Give x*l(d) - 6*o(d).\nAnswer: -d**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 44*x**2 - 8*x**2 - x**2 + 122*x**2.\nAnswer: 157*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 78\/234*(-9)\/2*2. Is (-1)\/(3\/(-335)) + k\/(-9) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -33*n - 23*w = -29*w + 195, -5*n - 130 + 14 = -5*w - 21 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Does 0 = 32\/47367?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 5168\/(-800) + (-208)\/(-32)?\nAnswer: 1\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 21?  (a) 4  (b) 115  (c) 2\/13  (d) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 11737267 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 n and 1 f when two letters picked without replacement from {p: 2, f: 2, x: 7, t: 1, n: 7}.\nAnswer: 14\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let x(k) = -2225*k + 630. Let h(a) = -1233*a + 350. Give 20*h(y) - 11*x(y).\nAnswer: -185*y + 70","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -3*o**3*r**5 - 2017*o**3 - o**2*r + 412*r**3 wrt r.\nAnswer: -60*o**3*r**3 + 2472*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 18 = n + c - 0*c, 5*c = 2*n - 1. Is 16 a factor of (-2)\/n + (-496)\/(-13)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*y**2\/3 + 34*y\/3 = 0. Calculate y.\nAnswer: -17, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: (42 - 25) + 328\/(-20)\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 212445 - 53226 = 4112*i + 775*i - 99792 for i.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 4775, 4773, 4771, 4769?\n\"Answer: -2*v + 4777","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s(u) = -184565*u. Let v(j) = -j. Determine v(s(c)).\nAnswer: 184565*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let q(y) = -9*y**2 - 64*y + 2. Let k be q(-7). Let i(z) = 3*z. Let g(u) = -12*u - 1. Give k*i(d) + 2*g(d).\nAnswer: 3*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-9 - -35) + (-6 - -2).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.001564 to five dps.\nAnswer: -0.00156","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (24\/18)\/((-6)\/(-9)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*k**3 + 2131320*k**2.\nAnswer: 5*k**2*(k + 426264)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 65 a factor of 34371677?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Determine p, given that -3*p**5 + 102*p**4 + 2853*p**3 - 7752*p**2 - 255300*p - 244800 = 0.\nAnswer: -16, -10, -1, 10, 51","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 0.62 - -1.88. Let z(r) = -2*r**3 + 10*r**2 + 3*r - 12. Let b be z(5). What is the smallest value in 0.4, k, b?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -79*v**2 - 105 with respect to v.\nAnswer: -158*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let q(z) = 3*z - 1049. Let j(f) = 472*f. What is q(j(t))?\nAnswer: 1416*t - 1049","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-13 - 17 - 38)*(-2*c**2 + 2*c**3 + 2*c**2)*(80*c + 69*c - 94*c).\nAnswer: -7480*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 238 and 92995.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*r - 12 = 6*r, 340 = 4*i - 4*r. Suppose i - 78 = -g. What is the hundreds digit of g*2\/(-6)*(-1314)\/(-8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*j**2 + 248*j + 3844 = 0 for j.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let p(t) = -t**3 + 7*t**2 - 6*t + 7. Let s = 5 + 0. Suppose -3*o + 21 = 3*q, 3*q + s*o = q + 17. What is the units digit of p(q)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(c) = 220*c + 911. Let l be u(16). Put l, 0, -1 in increasing order.\nAnswer: -1, 0, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 13505600 rounded to the nearest one million?\nAnswer: 14000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((h*h*h**(10\/9)\/h)\/(h*h\/h**3))\/(h**(-5)\/((h*h*(h*h**(2\/5)\/h)\/h*h*h)\/h*h)) assuming h is positive.\nAnswer: h**(518\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3*(sqrt(28) + 5 + 2 + -1)*-4*4.\nAnswer: 96*sqrt(7) + 288","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 9315 and 78315.\nAnswer: 345","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:21 AM and 3:31 AM?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Put 5, -3, 6, 10 in ascending order.\nAnswer: -3, 5, 6, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4 = -o + 3*h - 0, 0 = -h for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -380 - -128. Let v = -5294\/21 - y. Let q be 4\/5*(75\/10)\/(-15). Which is the nearest to q?  (a) -1  (b) v  (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -23 + 20. Calculate the remainder when (24 - 13)\/(((-3)\/8)\/q) is divided by 30.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.04008 - 155.304.\nAnswer: -155.34408","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -n - 3*n + 5*n + 31*n**3 - 11*n**3 wrt n?\nAnswer: 120*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(t) = -2*t**2. Let h(c) be the first derivative of c**4\/6 + 3*c**2\/2 + 13. Let x(p) be the second derivative of h(p). Give z(x(s)).\nAnswer: -32*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 12912 and 222732?\nAnswer: 890928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let b(k) = k**3 - 7*k**2 + 9*k - 6. What is the smallest common multiple of b(6) and 3266\/207 - 2\/(-9)?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(s) = -12*s**3 - 3*s**2 - 8*s + 5. Let g be b(-5). Let f = g + -631. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence dw when two letters picked without replacement from {d: 1, n: 1, w: 1, c: 2}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-26)\/65 + (-407)\/(-55)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -53204412*f**5 - 195493899*f?\nAnswer: -1064088240*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Divide 93976 by 4.\nAnswer: 23494","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -16*x - 61 + 13 = 0 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 118763235 to the power of 1\/5, to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is -5153646 equal to -5153538?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*l = 4*c - l - 70, 0 = c + l - 16. Let s = c - 23. What are the prime factors of (s\/12)\/(2\/(-150))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1117 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 1468737832 to the nearest integer?\nAnswer: 1137","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 2\/5 - (65\/52 - 2709\/1540)?\nAnswer: 10\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(135) - (sqrt(135) + sqrt(135)*1*4 + sqrt(135)))\/(-3*sqrt(675)).\nAnswer: sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 9140953 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let n(r) = 3 - 4*r**2 + r - 8*r - 7 - 3*r**2. Let f(h) = 1. Let w(u) = -4*f(u) - n(u). What is the second derivative of w(g) wrt g?\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-3 - 2) + 60\/6. Suppose 8 = -5*h - 7, -3*k + 366 = -q*h. Calculate the remainder when k is divided by 40.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -112543 - -35?\nAnswer: -112508","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 98 = -3*l + 407. Let x = l + -206. Is x >= -102?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2919.5946 seconds in hours?\nAnswer: 0.8109985","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*y**2 + 55233952*y + 381348681692288.\nAnswer: 2*(y + 13808488)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let u(f) = 2*f**2 - 4*f + 3. Let p = 14 - 10. Let x be u(p). Solve t - 2*w = 8, -6*t + 5*w = -3*t - x for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(t) = 4*t + 1. Let h(z) = 32*z + 2. Let l(v) = -12*v. Let q(g) = -h(g) - 2*l(g). Calculate 13*n(d) + 6*q(d).\nAnswer: 4*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -10659544 - -4929544. What is h rounded to the nearest 1000000?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 12 + -7. Suppose 6*t = 19 + 17. Solve u - q = t*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -748 (base 14) to base 4\nAnswer: -112130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Add -156 and 7.4.\nAnswer: -148.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 46\/10 + (-6)\/(-15). Suppose -5*r + 2*w - d = -26, 2*r - 4*w = 2. What is the remainder when 9 is divided by r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(v) = -v**2 - 8*v + 5. Suppose -j + 15 = -2*b, -3*b - j = 3*j + 28. Let n be k(b). Solve -3*p + y - n = -2*p, 3 = y for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -2*r**6 + 4*r**5 - 739*r**4 + 6*r**2 + 1233 wrt r.\nAnswer: -240*r**3 + 240*r**2 - 17736*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*i + 0 + 2\/11*i**2.\nAnswer: 2*i*(i + 22)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 3069?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Round -8245558 to the nearest 1000.\nAnswer: -8246000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 30\/(-6)*(-6)\/(-5). Let b(w) = -2*w**3 + w + 1. Calculate the lowest common multiple of ((-32)\/6)\/(d\/18) and b(-1).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -1642454, -3284877, -4927300?\n\"Answer: -1642423*k - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (334*p**2 + 234*p**2 + 1086*p**2)*(4 - 2 - 4) to the form g + u*p + m*p**2 and give m.\nAnswer: -3308","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let d(k) = 172*k**2 + 9497. Let u(x) = -26*x**2. Give d(u(i)).\nAnswer: 116272*i**4 + 9497","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:37 AM and 1:13 PM?\nAnswer: 576","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1 + 2 + (3 - (-2 + 5))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}