{"text":"Question: Expand (-4 + 1 - 2)*(j + j + j) + 2*j - 1 + 1.\nAnswer: -13*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let x(z) = z**3 + 4*z**2 - 46*z - 10. Suppose -629 + 602 = 3*m. Let k be x(m). Which is the third biggest value?  (a) -0.1  (b) -9  (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2048731 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 17.4335cm in millimeters?\nAnswer: 174.335","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 552 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 + 0 + w)*(1 - 6 + 1)*(1 - 1 - w**3).\nAnswer: 4*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9 = m + 3. Suppose 0 = 3*u - 4*d - 9, -2*d = -2*u + 2*d + m. Put u, -1, 5 in decreasing order.\nAnswer: 5, u, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -1215 - -729. Let v = -5340\/11 - l. Which is the fourth biggest value?  (a) v  (b) 3  (c) 0.2  (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (5*5\/(-125))\/(-1)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 8490125?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 335.2 + -335. Which is the closest to -1\/6?  (a) 4  (b) m  (c) 1\/82\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 20*g**3 + 5 - 17*g**3 + 39*g + 13 + 10*g**2 + 14*g**2.\nAnswer: 3*(g + 1)**2*(g + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(b) = -2*b**2. Let z(t) = 1345723579*t. What is z(i(h))?\nAnswer: -2691447158*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -2 + e2?\nAnswer: e0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: (171 - 200 - -24) + 1 + -1 + 0 + 44\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"}
{"text":"Question: Let g(j) = -4*j - 6. Let m be g(-2). Suppose -m*h + 10*n - 5*n = 10, h + 5 = -n. Is -7 < h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.12?  (a) 236  (b) 3  (c) -0.02\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let d(p) = p**2 - 2*p. Let f(m) = -5*m**2 + 3*m + 7. Let n(y) = -6*d(y) - f(y). Determine n(7).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 0 by -75404.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.000105529 to six decimal places.\nAnswer: -0.000106","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 4520 - 4513. Let i(h) = 6*h**3 - 41*h**2 - 9*h + 13. What is i(l)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(z) = 52*z**3 - 8*z**2 - 33*z + 100. Determine r(2).\nAnswer: 418","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ddz when three letters picked without replacement from dzzd?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 2440204319 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 19306254 is divided by 260895?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 81193 is divided by 642?\nAnswer: 301","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose w + 5*k - 2*k - 4413 = 0, -5*k - 22125 = -5*w. Let a = w - 1254. What is the second derivative of -a + 3168 - 18*r + 5*r + 15*r**4 wrt r?\nAnswer: 180*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -9 + (-7 - 3) + (-16 + 8 - 1)?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-10)\/50 - (-51)\/5. Suppose 9*w - o*w = 6. Does 14 divide 24 + 2\/6*w\/(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -19*d + 15*d + 24. Let z(v) = -6*v**3 - 8*v**2 + 4*v + 6. Let g(m) = 7*m**3 + 9*m**2 - 5*m - 7. Let j(q) = d*z(q) + 5*g(q). Give j(-3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -d = -3*x - 19, d + 2*x - 38 = -d. List the prime factors of d.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*m - 3 = -3*a, 122*m + 605*a - 602*a = -378 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*sqrt(117)*2 - ((1 + sqrt(1053))*2)**2) + -3.\nAnswer: -4219 - 84*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*w - 2*n + 28, 4*w = -w + n + 82. Let j(l) = 2*l**2 - 20 + 3*l - l**2 + w. Let s(y) = -y**3 + 2*y**2 + 3*y - 4. Let f be s(3). Determine j(f).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millennia are there in 1283.4132 months?\nAnswer: 0.1069511","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (33\/(-44) - (-10)\/56)\/(119\/((-10115)\/(-2550)))?\nAnswer: -2\/105","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(o) = -491*o + 748. Let z(n) = 67*n - 102. Let a(k) = 3*y(k) + 22*z(k). Let d(v) = v + 7 + 5*v - 19. What is d(a(m))?\nAnswer: 6*m - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 66659 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -4 + (-2 - (-4 - (1 - 1))).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 149\/1758 and -97\/1260.\nAnswer: 369180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*r = -5*i + 100, 0 = 3*i - 4*i. Let a = -13 + r. Let b be (-21)\/4 - (-3)\/a. Let d(q) = q + 10. Determine d(b).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -3*((-114)\/72*-5 + -1)*2 and -9\/32?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -62*w + 4881 = 1533. Is 9 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -t + 5*t - 4 = 0. Let v(k) = 8*k**3 - 2*k**2 + k. Let m be v(t). Suppose 0 = -2*c + m*c + 20. Is c >= -6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -1509, -1500, -1491, -1482, -1473, -1464?\n\"Answer: 9*w - 1518","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -50 = 28*t + 22*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 522 is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 5 - 0. Let k = -1 + w. Which is the closest to 1?  (a) 0.3  (b) 4\/3  (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(n) = 367*n - 21205. Calculate p(58).\nAnswer: 81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1*((5*(sqrt(130)*-2 - sqrt(130)) + sqrt(130))\/(sqrt(120)\/(sqrt(12) - sqrt(48))) + 0).\nAnswer: 14*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let n(i) be the third derivative of -529*i**6\/720 + 23*i**5\/10 - 3*i**4 - 38*i**3 - 22*i**2 - 3. Let t(a) be the first derivative of n(a). Factor t(q).\nAnswer: -(23*q - 12)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5*(2 + -5 + sqrt(468) + sqrt(637) + 0)*3*-2)**2.\nAnswer: -70200*sqrt(13) + 1985400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 618591817?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*n + 31 - 1. What is the greatest common divisor of 165 and n?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3412759198.\nAnswer: 2, 73, 1201, 19463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 - 3 - 1)*(-4*v + 5*v + 8*v) + 2*v - 33 - 5*v + 2*v.\nAnswer: -10*v - 33","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 5801581 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve -m - 5*x = 3 - 9, -5*x + 10 = 0 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: 2.6 - 178230056255\nAnswer: -178230056252.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 18 a factor of 109?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-4 + 2 + 3)*(-2*m + m + 3*m) to the form a + c*m and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let m(n) = 15*n + 1452. Calculate the smallest common multiple of 153 and m(-90).\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 4.4339 to zero decimal places.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*i = -0*i + q - 16, -i = -q. Suppose i*j = -f + 296 - 14, -5*j - 2*f = -354. Let r = 46 - j. Round r to 0 decimal places.\nAnswer: -24","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 0.17 - 0.1699747. What is z rounded to five decimal places?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 0.5, -4, -5, 2\/3, -183?\nAnswer: -183","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -451487*m**2 + 2*m - 102021?\nAnswer: -902974","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 11 and 4058908073.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -23.8 in 4, 3.94, 5?\nAnswer: 3.94","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -21 + 50. What is the units digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 116.19 + -116. Let r = x + -1.19. What is the nearest to r in -1, 0, -7?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 168942?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose a = 4*r - 7, -4 = 2*a - 0*a - 3*r. Let l be 1*11 - (-1 - a). Let y = 43 - -100. What is the highest common divisor of l and y?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(m) be the second derivative of 17*m**4\/6 - 5*m**3\/6 + 9*m**2\/2 - 117*m. What is the second derivative of g(u) wrt u?\nAnswer: 68","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-2 - 10\/(-12))*21\/(-98).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(n) = 6*n + 91. What is l(-16)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (25 + -16)\/(2\/2). Solve -y - 4 = -l for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -620*f**4 - 29*f**3 + f**2 + 861616 with respect to f.\nAnswer: -2480*f**3 - 87*f**2 + 2*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let c(z) = -z - 4. Let o be c(-7). Suppose -4*g = -o*g. Solve g*j - j = 0 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 362250 = 130*d - 20914 - 112916. Does 36 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many hours are there in 546.2245 weeks?\nAnswer: 91765.716","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 2\/(-5)*-2*18400\/(-920)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 194 is divided by 96.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-3)\/18*-4)\/((-4)\/(-12)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Does 11 divide 342601976?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 5233358, 10466667, 15699976, 20933285, 26166594?\n\"Answer: 5233309*m + 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 624 divided by 16.\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let m(p) = -10*p - 85. Let a be m(-33). Let r = 1134 - a. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 6\/(-72)*-8*-3. Let g(o) = -7*o**3 - 5*o**2 - 5*o - 3. Let m(c) = -3*c**3 - 2*c**2 - 2*c - 1. Calculate l*g(a) + 5*m(a).\nAnswer: -a**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -14 + 2 = 2*u - w - 4*w, 40 - 20 = 5*w for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Do 0.09 and -123.25 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Divide 656 by 41.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 1536*r**2 + 4191 + 3*r - 2082 - 1945 wrt r?\nAnswer: 3072","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -28 - -30. What is the second derivative of 8*y**2 + y**2 - 9*y**u + 4*y**2 + 5*y wrt y?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 18 + -16. Suppose -3*r + 2*r = -l. Suppose -a - r*z + 78 = a, 4*a - 168 = 2*z. What are the prime factors of a?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 k and 2 i when three letters picked without replacement from {i: 15, k: 3}?\nAnswer: 105\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -31 - -38. Suppose -h*o = 5*o - 1176. Suppose 3*r - o = -38. Calculate the greatest common divisor of 4 and r.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-1)\/((30 - 31)*(-6)\/(-1)).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 2\/(-27) - (-15255)\/(-729). List the prime factors of (-63)\/(-147) - (-1 + 27963\/a).\nAnswer: 31, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in fourty-nine fifths of a hour?\nAnswer: 35280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 54 a factor of 45460822?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.000006704656 to 7 dps.\nAnswer: 0.0000067","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let a(c) = -4*c**3 - 59*c**2 - 112*c - 1032. What is a(-14)?\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*sqrt(612) + -2 + -5)**2*-6 + 0 + -5*sqrt(272) + -3 + 5 + sqrt(272).\nAnswer: -14980 + 992*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 253400?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Does 2 = -20?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 108 = 6*p - 0*p. Suppose 14 = -0*a + a - 3*n, 5*n = a - p. Calculate the greatest common divisor of 88 and a.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 3 - 3 + 3625*n + 3150*n**2 - 3527*n - 3202*n**2 in the form j + a*n + i*n**2 and give a.\nAnswer: 98","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let l(a) = a - 7. Let o be l(7). Suppose y - 3 = -o*y. Let t(z) = 5*z**2 + 4*z - 3 - z**2 + 3*z**2 + z**y + 0*z. Determine t(-6).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 1895810 and 103733.\nAnswer: 3577","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -2 - -45202023?\nAnswer: 45202021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Find j, given that -3*j**4\/2 - 638547*j**3\/2 - 3831138*j**2 - 15324360*j - 20432352 = 0.\nAnswer: -212837, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth biggest value in 14, -5, 2, 83, -2\/5, -2, 6\/61?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand -8 + 6 - s**2 + 2*s**2 + (-135*s + 338 - 338)*(2*s - 3*s + 3*s) - s + s - 2*s**2.\nAnswer: -271*s**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 2268 and 1005900?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*z - 1937 = z + 2*j, 1936 = 5*z - j. What is the hundreds digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 508 is divided by 85?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*x = s - x - 88, -3*x + 416 = 5*s. Suppose -v + 2*v = 3*u - 35, -3*v - s = -4*u. Let b = v + 40. List the prime factors of b.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -161 (base 8) to base 10.\nAnswer: -113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort -9, -3, -33, 10, 0, 2, -268.\nAnswer: -268, -33, -9, -3, 0, 2, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 44 + -1 - (54 - (86 - 24 - 2))?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -11625773*-0.05.\nAnswer: 581288.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Put 495, -3, -3\/5, 1 in ascending order.\nAnswer: -3, -3\/5, 1, 495","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 53197?\nAnswer: 53197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Factor z**2 + 1238894*z - 28495091.\nAnswer: (z - 23)*(z + 1238917)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Determine x, given that 30976*x**2 - 2112*x + 36 = 0.\nAnswer: 3\/88","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 1 and 29.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -26*n + 55 + 23 = 0 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let q(v) be the third derivative of v**5\/20 - 288*v**2. Let m(k) be the second derivative of -17*k**3\/2 - k**2\/2 - 3*k. Give q(m(o)).\nAnswer: 7803*o**2 + 306*o + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is (-66)\/14*(1470\/(-63))\/10?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) 0.3  (b) -2\/9  (c) -1\/26  (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*l - 38581 = -2*y, 7*y - 5*y - 23147 = -3*l. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((i**(-7)*(i\/((i**(-1\/6)\/i)\/i*i))\/i)\/((i*i**(-1\/8)*i)\/i**(-4)))\/((((i*i\/(i*i\/i**(2\/3)*i))\/i)\/i)**(-16\/7))**(-47) assuming i is positive.\nAnswer: i**(5735\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 14476 and 2156?\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Add together -85.1271 and 0.5.\nAnswer: -84.6271","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -28465714*p**3 + 128753*p**2 - 2*p - 8 wrt p?\nAnswer: -170794284","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 215468216?\nAnswer: 2, 3181, 8467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 5, -0.2, -2, -3, -753, -23, -5?\nAnswer: -23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"}
{"text":"Question: Solve 762 - 174 = -12*f for f.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Do 0.11 and -5665908 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*i**2\/5 + 158*i + 14500 = 0. Calculate i.\nAnswer: -250, -145","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -f = 42*b - 49*b - 318 + 40, 3*f = 2*b + 74 for b.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 1599.5 rounded to the nearest 100?\nAnswer: 1600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -308.7 rounded to the nearest ten?\nAnswer: -310","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.06032721 to four decimal places.\nAnswer: -0.0603","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -10*w + 40*w - 150. Let v = -27 + 33. Suppose v*z = 3*z - 4*h + 52, -z + 4 = 4*h. Solve 0 = -t - w*n - z, -t - 4*n - 18 = t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -14*c + 30 = 45 + 97 for c.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4226476?\nAnswer: 2, 239, 4421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of -12*(-3013286)\/741 - 6\/39.\nAnswer: 2, 3, 2711","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 1446584 and 6634.\nAnswer: 154784488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 221, 606, 663, -88, -2127?\n\"Answer: -80*b**3 + 316*b**2 - 3*b - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*h = -k - 10, 5*h + 0*k + 4*k = 45. Suppose -16 - 6 = -h*v - 3*a, -5*v = 2*a - 18. Is (2 - (-2567)\/5) + v\/(-5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 13569927?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -1229\/5 + 1232\/5. What is the closest to 2\/3 in k, 7, 1\/9, 6?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 1743 and 152266737?\nAnswer: 1743","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 4.6 - -5.2. What is a rounded to 0 dps?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -32 + 31. What is the second biggest value in -3\/5, -0.7, b, -5\/4?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -256 or -255?\nAnswer: -255","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 3\/((2\/(-88))\/(-1)). Let b = -5303 + 10909\/2. Let i = b - j. What is the common denominator of i and -15\/14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 490 minutes after 5:47 AM?\nAnswer: 1:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: ((-150)\/1875)\/((-2)\/(-5))\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: (-228)\/(-1071) + 26\/(-221)\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -8527*v + 3035 with respect to v.\nAnswer: -8527","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -118647*h**4 + h**3 + 2*h + 552099?\nAnswer: -1423764*h**2 + 6*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let o(k) = k - 1. Let g(c) = c**3 + 9*c**2 + 2*c + 24. Let l be g(-9). Let p be o(l). Let b(h) = 1813*h - 1813*h - p*h**2. Let x(j) = -j. Give b(x(v)).\nAnswer: -5*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -40.39 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 453 minutes before 9:00 PM?\nAnswer: 1:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 116 and 4.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*n + 5*n - 4*j + 334 = 0, 2*j + 340 = 2*n. Suppose -178*d + 1782 = -n*d. Calculate the highest common factor of d and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -93 = -3*m + 3*j, 995*m - 1993*m = -995*m + 5*j - 69 for m.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand 3*j**2 + 25 - 25 - 2*j**2 + j**2 - j**2 + (4*j - 3*j - 2*j)*(-3*j + 3*j - 2*j) + 2*j**2 + 2*j - 2*j + 15*j - 15*j - 3*j**2.\nAnswer: 2*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, -8, -3, 0, 129, -5 in decreasing order.\nAnswer: 129, 0, -3, -4, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 429 and 41899.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -6*r**2 - 5*r**2 + 0*r + 8*r**2 + 3*r to q + o*r + l*r**2 and give l.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let q(f) = f**2. Let a(o) be the second derivative of o**4\/12 + 18*o. What is a(q(s))?\nAnswer: s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let q(w) = 530*w**3 - 4*w**2 + 4*w. Let n(p) = p**3 + p**2 - p. What is 4*n(u) + q(u)?\nAnswer: 534*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Add together -33 and -59.5.\nAnswer: -92.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Add 7563 and 4376504000.1.\nAnswer: 4376511563.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand i**5 - 3*i + 3*i + (-i + 6*i - i)*(5*i**3 - i**3 + i**3)*(5*i + 2*i + 7*i).\nAnswer: 281*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*c = -4*f + 17 + 62, -c + 4*f = 19 for c.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -0.26835 - -11.59735. What is o rounded to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(l) = 7*l**3 - 12*l**2 + 10*l - 3. Let y(b) = -8*b**3 + 13*b**2 - 11*b + 3. Let t(q) = 7*u(q) + 6*y(q). What is t(6)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 17580317977 and -0.4?\nAnswer: 17580317977.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.006925 to 3 decimal places.\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-1)\/(((-6)\/(-2))\/69). Suppose -243 = -3*u + l, 8*u - 313 = 4*u + 5*l. Let o = z + u. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -8*d + 6*d - 19 - 13.\nAnswer: -2*d - 32","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 51 minutes after 12:14 PM?\nAnswer: 1:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 290 and 27962380?\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 70518?\nAnswer: 2, 3, 7, 23, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let m(s) = -2*s**3 - 2*s + s**3 + 2*s. Let l(a) = -a**3 + 5*a**2 + 21*a - 49. Let i be l(7). Suppose i*g - 6*g = 0. Determine m(g).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 2.08206 to 1 dp.\nAnswer: 2.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Sort -12, 0, 1854, -36.\nAnswer: -36, -12, 0, 1854","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 1300902 and 13810.\nAnswer: 2762","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let d(m) be the second derivative of -m**7\/315 + 5*m**4\/4 - 7*m. Let n(o) be the third derivative of d(o). Let j(p) = 3*p. Determine n(j(g)).\nAnswer: -72*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 80 - 86 = 3*y. Let d(m) = m**3 + m**2 + m - 1. Let f(j) = 6*j**3 + 6*j**2 + 5*j - 6. Let q(l) = 11*d(l) - 2*f(l). Determine q(y).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(c) = -c**2 - 17*c + 68. Determine h(-20).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Convert 703442.9 kilograms to milligrams.\nAnswer: 703442900000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 6*r + 4*r**3 + 118*r**2 - 6*r.\nAnswer: 4*r**3 + 118*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let b be -6*3*(-4)\/(-18). Let m be (-15)\/(-2)*b\/(-6). Solve 0*x = m*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 822*p + 3600 = 372*p for p.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Product of -2 and -1172225.\nAnswer: 2344450","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -2.975 + -610.825. Let f = -614 - u. Sort 4\/9, f, -0.4, -4 in descending order.\nAnswer: 4\/9, f, -0.4, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -4721, 2124, 8969, 15814, 22659?\n\"Answer: 6845*r - 11566","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 51 and 69?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*b - 2*b + b)*(-3 + 0 + 5)*(169 + 371 - 45).\nAnswer: 990*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5*3*(sqrt(304) + 3).\nAnswer: 45 + 60*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let k be -2 - -5 - 7\/(14\/(-44)). Let d(q) = -q**3 + 4*q**2 - 1. Let i be d(2). What is the second derivative of -i*x + 17*x**5 - 51*x**5 + k*x**5 wrt x?\nAnswer: -180*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -170 - -193. Calculate the remainder when 111 is divided by x.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence nh when two letters picked without replacement from {h: 1, v: 1, n: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1290417.\nAnswer: 3, 430139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let l(h) = -11*h**2 - 12*h + 3. Let r be l(-6). Let s be (r*1\/(-9))\/((-1)\/(-6)). Is (-22)\/33 + s\/6 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -12 + -120202?\nAnswer: -120221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-582)\/(-264) - 3\/4. Let o = m + -166\/99. Sort -2, -1\/3, o, -0.1.\nAnswer: -2, -1\/3, o, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1758 (base 13) to base 3.\nAnswer: 11201220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -115, -416, -917, -1618, -2519, -3620?\nAnswer: -4921","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v(p) = -p**3 - 4*p**2 - p + 9. Calculate v(-4).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, 16, 4, 0, -1.\nAnswer: -1, 0, 3, 4, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Total of -0.5811 and -0.0751329755.\nAnswer: -0.6562329755","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Express ((1 - 3 + 1)*(-3 + 3 + 2) + (0 + 1 + 0)*(-3 + 2 - 4) - 2 + 3 - 3 + 1 - 1 - 2)*(5 - 3 - 3 + 2*m) in the form o*m + x and give x.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 1 and 391.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -45 = 5*j + 5*w, 4*j = -5*w - 39 - 1. Let f(m) = m**3 + 4*m**2 - 13*m - 5. Let u be f(j). Does 19 divide (-14)\/u - 3\/(15\/(-382))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 0 - -260?\nAnswer: 260","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -5*67.\nAnswer: -335","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let a(b) = -b**2 - b. Let m(f) = -4*f**2 - 2*f. What is 4*a(u) - 2*m(u)?\nAnswer: 4*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 4\/5 or 6782?\nAnswer: 6782","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -205 + 37. Let h = w + 212. What is the remainder when h is divided by 6\/(-27) + 418\/18?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 1001.22 to the nearest ten.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:49 AM and 11:58 AM?\nAnswer: 609","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 116 + 75 + 1409*p**4 - 63 + 69 wrt p?\nAnswer: 5636*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {t: 2, e: 2, z: 1, q: 1, c: 1, p: 1}. What is prob of sequence ttqc?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -492 = -9*x - 42. Calculate the least common multiple of x and 45.\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(w) = 4*w**2 + 4*w + 1. What is the tens digit of d(3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(w) be the first derivative of w**4\/4 + 5*w**3\/3 + w**2\/2 + 6*w - 8. Let n be r(-5). Calculate the greatest common divisor of 9 and n.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 72 a factor of 270748728?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = n - 5*z + 30, -32*n - 3*z = -28*n + 5 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*c = c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -h + 288 = 3*h. What are the prime factors of h?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -0.5061, -0.732, 0.011?\nAnswer: -0.5061","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is (-8 + 426\/54)*-3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -h - 1 = 0, 4*h + 17684 + 2760 = 730*d for d.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -853965 divided by 5.\nAnswer: -170793","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -18*m + 162 - 234 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let r(s) = 3*s**2 + s + 1. Let k be r(-1). Suppose -v = 1 - 6. Let o = 149 - 144. Solve -l - o = l - v*h, k = h for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-19 - -10) + (1 - 4 - 1) + -7.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 440800 rounded to the nearest 100000?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -880456460*i**3 - 213*i**2 - 8*i + 10733.\nAnswer: -5282738760","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -28265\/6 - -4711. Let h(c) be the second derivative of 0 + o*c**4 + 0*c**3 - 1\/3*c**2 - 4*c + 1\/15*c**5. Factor h(p).\nAnswer: 2*(p + 1)**2*(2*p - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.016 * -65606\nAnswer: -1049.696","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 301303?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let d(x) = -8*x**2 + 139*x + 47. Let h be d(17). Solve -344 = -55*i + h*i for i.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ppyyyppypppppypppppp. What is prob of sequence pppp?\nAnswer: 91\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: -135 divided by -5\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-3 + 4 + 1)*(-2*o - o + 5*o) - 6*o + 3*o + o)*(-1 - 1 - 1)*(3 - 2 - 2).\nAnswer: 6*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 148 - 126. Suppose 100 = 2*r + 3*r. Let m = x - r. Solve -5*n = -m - 3 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -5 + -5. Let l(x) = -x**3 + 19*x**2 + 561*x + 19. Let n be l(-16). Is i at least n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(j) = 14*j**2 + 14*j + 11. Let l be a(-5). Let o(v) = -v**2. Let x be o(0). Suppose x = f, s + 2*s + 2*f - l = 0. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 32846.3856 minutes in weeks?\nAnswer: 3.25857","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-2*y**3 + 2*y**3 + y**3)*(3*y + y - 5*y) - 13239*y**2 + 14135*y**2 - y**4 - y**4 to the form a*y**4 + h*y + o + r*y**2 + n*y**3 and give a.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 22\/47 at most as big as 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 543706 + 298799 = -12831*p + 98307 for p.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*a - 3*a - 2*w = 18, w + 37 = 4*a. List the prime factors of a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify d*d**47*d**(3\/25)*(d\/(d\/d**(5\/6)*d*d))**32 assuming d is positive.\nAnswer: d**(809\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -18*a - 34 = -20*a. Suppose f + m = -2 + 19, a = f + 2*m. What is the units digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -7 - -7. Suppose -645 = -5*q + 5*n, 2*n + t*n - 132 = -q. What are the prime factors of (-6)\/27 + q\/18?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 141 - 145. Sort -1, 1, x, 5.\nAnswer: x, -1, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 611 minutes before 6:52 AM?\nAnswer: 8:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*o - 31 + 7 = 0. Suppose -5*m - 7*u = -o*u - 24, -3*u + 3 = 0. Solve 3*w - 2*d - 1 - 10 = 0, d - 14 = -m*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 295 - 170. Let j = b + -125.00665. Round j to 3 dps.\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 8027, 14475, 19365, 22697, 24471, 24687?\nAnswer: 23345","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -2261 divided by 7?\nAnswer: -323","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 70328 is divided by 23136?\nAnswer: 920","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 34921 - 34929. Let l(g) = 2*g - 4. Let a be l(4). Sort -1, a, f, 1 in descending order.\nAnswer: a, 1, -1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -5.0559 + 0.65593. Let r = 100 + -104.4. Let s = g - r. Round s to 4 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: (114 - 118) + 1 + -22\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 60\/3349 at most as big as 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (16\/10)\/((-2)\/(-5)). Let u(t) = t**2 + 1. Let r be u(h). Suppose -l + r - 5 = 0. What is the units digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -84*q + 1288 = 5740 for q.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let j(f) = 2*f**2 + 38*f + 4. Give j(-19).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*s = 13*s + 2*z - 8, -4*s = -2*z + 8. Solve -15*k + 7*k - 24 = s for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 780775?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 937121 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -n + 3 - 2 = 0. Let g = 125.98 - -1.02. Let y = -122 + g. Put n, y, -3\/5 in increasing order.\nAnswer: -3\/5, n, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -1008, -9288, -24842, -47670?\n\"Answer: -3637*a**2 + 2631*a - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*h - 36 = h. Let o = h + 18. Suppose -y - 5*n = -25, -y = y - n - o. Round y to the nearest ten.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 1266 + -2?\nAnswer: 1264","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let o(h) = 2*h**2 + 4*h - 36. Let m be o(6). Suppose -3*q = -3*i + 189, 4*i = -i - 4*q + 342. Let s = i - m. Let f(p) = -p**2 + 7*p - 1. Calculate f(s).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 17994925.3 to the nearest 100000.\nAnswer: 18000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2*sqrt(98) + 1 + -1 + sqrt(98) + 3.\nAnswer: 3 + 21*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let g(j) = j**3 - 4*j - 1. Let t(k) = 7*k**3 - 3*k**2 - 18*k - 7. Let l(p) = -4*g(p) + t(p). Calculate l(3).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add together -17668646768 and -0.0169.\nAnswer: -17668646768.0169","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 2c (base 15) in base 7?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 5567830?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 62 is divided by (-2 - (-236)\/14)\/((-18)\/(-63)).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 4 and 44794922?\nAnswer: 89589844","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Round -34751.14082 to the nearest one thousand.\nAnswer: -35000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let g(q) = -3*q**3 + q + 4. Let f(x) = -x**3 + x**2 + x + 1. Determine -f(o) + g(o).\nAnswer: -2*o**3 - o**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let h(k) be the second derivative of k**6\/30 - 73*k**5\/5 + k**4\/3 - 68*k**3\/3 - 3162*k. Find the second derivative of h(y) wrt y.\nAnswer: 12*y**2 - 1752*y + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {y: 2, k: 1, q: 2, t: 1, s: 4, w: 2}. What is prob of picking 1 w and 2 q?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let w(z) be the first derivative of z**4\/6 + 2*z**3\/3 - z**2\/3 - 2*z - 94. Suppose w(b) = 0. Calculate b.\nAnswer: -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 1176816 and 240?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -878 + j - 283 - 1196.\nAnswer: j - 2357","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let w(y) = y + 4. Let i be w(4). Let j(z) = 2*z - 5*z - 3 - 3*z + i*z**2 - z**3. Determine j(7).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 20*(-15)\/30 - (-27 + 7)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(l) = 153*l + 15916. Let t be n(-104). Factor -4\/7 - 110\/7*m**3 - 26\/7*m + 38\/7*m**t + 102\/7*m**2.\nAnswer: 2*(m - 1)**3*(19*m + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 15225 and 321349.\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00376206553 to 7 decimal places.\nAnswer: -0.0037621","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 452 - 457. Let f(b) = -4*b + 15. Let l(w) = 4*w - 16. Give u*l(n) - 6*f(n).\nAnswer: 4*n - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (0 - 1 + k + k**2 + 4)*(65 - 60 + 30 + (-1 + 2 + 1)*(3 - 2 + 0) - 4 + 1 + 2)*(-4 + 0 - 2) to the form z + h*k + j*k**2 and give h.\nAnswer: -216","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*n = -t + 12, t - 4 = -3*t + 2*n. Let l(y) = -6 + t*y**2 - 40*y + 55*y - 4*y**2 + y**2. Does 9 divide l(12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be -20 + 7 + -10 + -9. Let p(z) = z**3 + 32*z**2 - 8*z - 38. What is the remainder when p(b) is divided by 44?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -2433 + -3?\nAnswer: -2441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z*z**5\/z)\/(z**(-2\/27)*z)*(z**(-2))**32*((z*z**(1\/7)\/z*z)\/z**4)\/(z\/z**(-1\/3))**(-4\/29) assuming z is positive.\nAnswer: z**(-343106\/5481)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 20277 a multiple of 125?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let k(n) be the third derivative of n**7\/840 + n**6\/360 - n**5\/60 - 5*n**3\/3 + 6*n**2. Let d(o) be the first derivative of k(o). Solve d(s) = 0 for s.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(x) be the second derivative of -x**4\/6 - x**2 - 33*x. Let g = 15 - 17. What is d(g)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*h + 113110 = -3*c, -67748 = 4*h - c - 293938. What is the tens digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(a) = -9*a**3 - a**2 + 1. Let j be x(-1). Suppose -4*s = -3 - j. Let b(d) = 2*d**2 + d - 2. Let v be b(-2). Solve -v*p = -g - 9*p - 12, -s*g - 8 = p for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 20608 and 621824.\nAnswer: 896","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((z**(-3\/2)*z*z**7)\/(z**(3\/5)*z\/(z*z**(3\/7)*z)))**(-4\/9) assuming z is positive.\nAnswer: z**(-114\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Convert -20100020 (base 3) to base 15.\nAnswer: -1583","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 d and 1 g when two letters picked without replacement from {d: 1, o: 1, g: 4, n: 2, r: 1}?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 220351 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*z + 12 = -3*d - 18, -2*z + 10 = 3*d. What is the nearest to 0.3 in z, -0.2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -14 - ((-13 - -6) + (-6 - (16 - -10))).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {n: 5, h: 3, f: 1}. Give prob of picking 3 n and 1 f.\nAnswer: 5\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in 6\/25 of a hour?\nAnswer: 864","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 56108 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -f - 5 = 0, -3*f - 980 = -5*b + 2*f. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*u = -2*n - 58, 2*u - 5*n - 9 = -53. Let l = 33 + u. Calculate the greatest common divisor of 24 and l.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose n = 3*i - 22886, 0 = -3*i + 4*i - n - 7630. Let f be (-6)\/18 - i\/(-6). Let w = 7661\/6 - f. What is the common denominator of w and -75\/16?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -390 * 175.\nAnswer: -68250","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let q(g) = 30*g - 9. Let x(d) = -15*d + 5. Calculate -4*q(v) - 7*x(v).\nAnswer: -15*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Round -298.226 to the nearest ten.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in 17\/2 of a centimeter?\nAnswer: 85","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, 0, -3, 18, -9 in increasing order.\nAnswer: -9, -3, 0, 3, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 14 - 2 = 3*p - y, -p = 4*y - 4 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let q(a) = a**3 + 8*a**2 + 6*a - 1. Let b be q(-6). Suppose -3*y - b = -8*y. Let u = -4 + y. List the prime factors of u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1120020001020 (base 3) to base 7.\nAnswer: 10031004","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*j = -2*j + 8. Suppose -j*k - k = l - 183, 5*l = 5*k - 195. Factor -10*p**3 - 27*p**5 - 11*p**4 - 5*p**3 + 6*p**2 - k*p**4.\nAnswer: -3*p**2*(p + 1)**2*(9*p - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -5.2 + 1.2. What is the third smallest value in -9, c, 3, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(s) = 139982*s + 1259872. Calculate g(-9).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 11 a factor of 43850?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 218873 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let i(h) = -23*h - 3. Let s be i(-2). Let l = s + -25. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(q) = 32*q**2 - q + 41*q**2 - 75*q**2 - 3*q - 10 + 11*q. Calculate r(5).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(k) = 2*k**2 - k. Let p(i) = -6*i**3 - 2*i**2 + 1. Let j be p(-1). Suppose -71 - 19 = -j*s. Suppose -15*n = -6*n - s. What is m(n)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 130711 is divided by 5194.\nAnswer: 861","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*d + 2*k = 85, -375*d + 3*k = -379*d + 114 for d.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 172 = 38*g - 448 - 26 for g.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*l + 0*l - l)*(192 + 2543 + 132 - 55 + 3601).\nAnswer: -6413*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 0.5  (b) 4  (c) 1\/6  (d) 1  (e) 47\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let b(l) = 2*l**2 + 8*l + 4. Let s be b(-4). Suppose 4*x + s = 28. Solve -2*w + y + x = -0*w, -5*w + 5*y + 5 = 0 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -2910932171, -2910932172, -2910932173, -2910932174, -2910932175?\n\"Answer: -v - 2910932170","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 576113 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 30 - 97270*f**3 + 0*f**2 - 97420*f**3 + 0*f**2 + 194821*f**3 to the form x*f**2 + v*f**3 + m*f + d and give v.\nAnswer: 131","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 10684?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 640 (base 8) in base 15?\nAnswer: 1cb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 524 minutes after 9:56 AM?\nAnswer: 6:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -369*b**2 - 144*b**2 + 510*b**2.\nAnswer: -3*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 90174 and 8004.\nAnswer: 120292116","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Divide 8 by -331.\nAnswer: -8\/331","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -11 - 102201?\nAnswer: -102212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 348407?\nAnswer: 348407","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1\/4?  (a) -1\/8  (b) -2\/137  (c) 19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 41674*n**4 - 83*n**3 - 2*n**2 + n - 1398415.\nAnswer: 1000176*n - 498","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let g(y) = -y**3 - 10*y**2 - 7*y + 16. Calculate g(-9).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 5  (b) -0.13  (c) 0.1  (d) 4  (e) -44  (f) 30\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, 5, 4, -531, 0 in increasing order.\nAnswer: -531, -1, 0, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*s - 20 = 0, 2*x - 5*x - 15 = 3*s for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 68 (base 12) in base 13?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q(i) be the third derivative of 3\/2*i**3 + 0*i + 0 - 11\/24*i**4 + 4*i**2. Let l(s) = -6*s + 5. What is 7*l(g) - 4*q(g)?\nAnswer: 2*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 26307 (base 10) in base 2?\nAnswer: 110011011000011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 0 < -10\/313?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: -162667 * 0.56\nAnswer: -91093.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let h(y) be the second derivative of -583*y**5\/20 - 215*y**4\/6 - 68*y - 3. Find the third derivative of h(c) wrt c.\nAnswer: -3498","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0569 to two dps.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from gttgtttg. Give prob of picking 2 g and 2 t.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {x: 5, j: 5, h: 2, n: 6, a: 1}. What is prob of sequence hj?\nAnswer: 5\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 22.991 + -23. Let y = a + -28.991. Let p = 29.11 + y. Round p to 1 decimal place.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-112)\/(-48))\/(3\/54*-2)\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1?  (a) -2  (b) -0.5  (c) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let v(r) = 2*r**2 - 6*r - 55. Suppose 0 = -8*o - 24 - 80. Let i be v(o). Suppose i = 4*k - 1755. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(l) = l**2 - 11*l + 15. Let f be s(10). Suppose 5*c + 20 = -2*j, -c - 4*c = -4*j - 10. Put f, c, -5 in decreasing order.\nAnswer: f, c, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 12153, 12095, 11941, 11643, 11153, 10423?\n\"Answer: -8*a**3 - 2*a + 12163","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z(y) = 7*y**3 - 2*y**2 - 36*y + 168. What is z(5)?\nAnswer: 813","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {z: 2, p: 3, r: 3, m: 1, w: 1}. Give prob of sequence zrwm.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 529186177?\nAnswer: 13, 40706629","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let o(t) = t**3 + 12*t**2 + 11*t - 2. Let k be o(-11). Let v be k\/2*6\/(-3). Factor -2\/9*h**3 + 2\/9*h + 0 + 0*h**v.\nAnswer: -2*h*(h - 1)*(h + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(700) + 1 + sqrt(700) + sqrt(700) + 0)*-2*-2 - (sqrt(700) + 0 + sqrt(700) + -2 + (sqrt(700) - (0 + sqrt(700))) + 4 + sqrt(700) + -5))**2.\nAnswer: 1260*sqrt(7) + 56749","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find o such that -4*o**2 - 12308656*o - 9468938282896 = 0.\nAnswer: -1538582","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 44519 is divided by 42.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 264?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5*(3 + 1*((sqrt(1377) + sqrt(1377) + -2)*1 - (sqrt(1377) + (sqrt(1377) + (sqrt(1377) + (sqrt(1377) - (-2 + sqrt(1377))) - sqrt(1377)))*5)))**2.\nAnswer: -110565 - 3240*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (2*(5\/(-20) + 0))\/((-1)\/8).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(o) = o**2 + 8*o - 7. Let p be j(-9). What is the units digit of p\/6 + (-159)\/(-9)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(p) = 5181*p. Let i(n) = 5246*n**2. Calculate u(i(g)).\nAnswer: 27179526*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 4, 1\/2, 10, 3\/4, -0.05075?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {c: 1, p: 2, z: 6, h: 2, u: 1}. Give prob of picking 1 c and 1 p.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Sort 81, -1, -3\/2 in increasing order.\nAnswer: -3\/2, -1, 81","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (120\/8 - 16)*20\/(-2 - 2). Solve -4*q + 8 = 0, u*i - 4*q - 5 = 2 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-28 - -2) + (-113 - -256 - 54).\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w(t) = -2*t**2 - t + 5. Let s be 6\/4*(-6)\/(-9). Suppose -3*l = -2*l - s. Let o(r) = 4 - 1 - l - 3. Calculate 5*o(h) + w(h).\nAnswer: -2*h**2 - h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 4385, 5421, 6457, 7493?\nAnswer: 8529","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0000057571 to four dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let w(y) = 354442*y**2 + 6*y + 4. Let r be w(3). What is r rounded to the nearest one hundred thousand?\nAnswer: 3200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 0.3, -0.068, 97, -12?\nAnswer: 97","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: -31138 divided by -1\nAnswer: 31138","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -4 and -189.6031?\nAnswer: 185.6031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -185*w - 347 = -122 + 330 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 - 80\/7*t**2 + 6\/7*t = 0.\nAnswer: 0, 3\/40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -709, -4, -1\/6, -1\/112 in ascending order.\nAnswer: -709, -4, -1\/6, -1\/112","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*n**3\/13 - 1090*n**2\/13 + 241546*n\/13 - 11453766\/13.\nAnswer: -2*(n - 89)**2*(n + 723)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 10 + -5 + 2 + 2 - (-7 + 2)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -2443.8 - -2438.8. Let l = 0.7 - 0.2. Which is the nearest to 0.7?  (a) l  (b) j  (c) -1\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 28616086.3 to the nearest 100000.\nAnswer: 28600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 774624227?\nAnswer: 13, 17, 89, 39383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let n(c) = 129*c**3 - 46*c**2 + 5*c - 3. Let q(s) = 65*s**3 - 23*s**2 + 2*s - 1. Let g(z) = 2*n(z) - 5*q(z). Find the third derivative of g(b) wrt b.\nAnswer: -402","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the billions digit of 1324103372?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: 65491.1 times 0.35\nAnswer: 22921.885","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -39*l = -42*l + 12. Suppose a + 6569 = z + 5*a, 0 = l*z + 4*a - 26264. Suppose 8*t - z = -573. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 9 + -5. Suppose d*z = -11771487 - 1828513. Round z to the nearest one million.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose i - 6*i + 17 = 2*p, -7*i + 28 = 3*p. Calculate the greatest common factor of 413 and p.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from nnnnnnntsnutttnssstn. Give prob of sequence ssun.\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 292367673?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Express 119*f - 121*f - 3*f**2 + 8*f**3 + 2*f**3 + f**2 as l*f**3 + z + v*f + o*f**2 and give l.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from syendyysysyn. What is prob of picking 1 s, 1 y, 1 e, and 1 d?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 8034196 a multiple of 82?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((u*u**(-2\/5)\/u)**(2\/35))**30\/((u*u**(-1\/4))**18*((u\/(u*u**(-1))*u)\/u)**(-33\/4)) assuming u is positive.\nAnswer: u**(-831\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -4*f - 6 - 14 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.5, -0.2, 75\/22, 0.3, 5 in decreasing order.\nAnswer: 5, 75\/22, 0.3, -0.2, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Does 16 divide 218512?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 6197 to the power of 1\/3, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {j: 5, f: 2, k: 6}. Give prob of picking 1 f and 3 j.\nAnswer: 4\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 77076?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let y(m) = -2*m. Suppose -5*f + 9 = -241. Suppose -5*h = -5*u + 275, 255 = 5*u - 2*h + h. Let v(n) = n - f + u. Determine v(y(p)).\nAnswer: -2*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 11110011011100 + -11011?\nAnswer: 11110011000001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let l(m) = -51*m**3 + 10*m**2 + 12*m + 2. Is 3 a factor of l(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.12199*-0.020654.\nAnswer: 0.00251958146","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:31 AM and 10:56 AM?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 61767?\nAnswer: 3, 6863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-103 - -96) + (-16 - 2) - -12 - -9.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence jefn when four letters picked without replacement from njnefj.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 3 a factor of 8129?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*z - 3*w + 36, -2*w - 2*w + 55 = 5*z. Suppose -z = -3*m - 1. Calculate the remainder when ((-27)\/2)\/(m\/(-4)) is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {j: 4}. What is prob of picking 2 j?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand -n**5 + n**5 - n**5 + (-n**5 - n**5 - n**5)*(224 - 198 - 372).\nAnswer: 1037*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (3\/5)\/1 + (-51)\/(-8670)*-34. Let m be (3\/(-1) - -2) + 1. Suppose 5*k + m - 5 = 0. What is the closest to 0 in z, -4, k?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 140700 to the nearest ten thousand.\nAnswer: 140000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(200)\/(sqrt(90)\/sqrt(36)))\/(-2*sqrt(160)))**2.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Convert -50 (base 15) to base 14.\nAnswer: -55","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 43\/(-43)*((-1)\/4)\/(-1).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 14831, 118724, 400735, 949928, 1855367, 3206116, 5091239, 7599800?\n\"Answer: 14844*l**3 - 5*l**2 - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*i - 4 = -888*k + 886*k, 37 = k + 19*i for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 702101 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 3154\/(-5) + 12\/15. Let l = -427 - h. Suppose 0 = 3*r - v - 128, 7*r - 12*r + v + 210 = 0. Calculate the remainder when l is divided by r.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2 = -2*c + 3*i - i, 4*c + 3*i = 17. Let m be (8\/(-16))\/(c\/(-20)). Find the third derivative of -10*s**2 - 43*s**5 - s**4 + s**4 + 42*s**m wrt s.\nAnswer: -60*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 12\/25 of a litre?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 0 + -1 + -4 - -1. Let z = 488 - 1005. Let q = z - -530. What is the smallest value in q, d, 0?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -122724, -122722, -122720, -122718, -122716, -122714?\nAnswer: -122712","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m(g) = g**2 + 4. Let l = -5 + 1. Let j be m(l). Suppose 24 = 4*b - 2*h, 2*h = -4*b + 3*h + j. Solve d = -b*a - 24, -3*a - 4*d - 21 = -2*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1271 - 1271 + 32820*o**3 - 33205*o**3.\nAnswer: -385*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 177*h - 747 = -1015 - 3626 for h.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 432568937 to the power of 1\/7, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Does 274 divide 1086790?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, 21, -6004 in ascending order.\nAnswer: -6004, -5, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 200741 + -200741.2. Let t = -334\/3 + 115. Sort t, 1\/5, 0, i in ascending order.\nAnswer: i, 0, 1\/5, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 465.7411 millilitres to litres.\nAnswer: 0.4657411","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 235 is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 - 2*h**5 - 2)*(2 - 5 + 1) + h**5 - h**5 - 2*h**5.\nAnswer: 2*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -48316159, -48316157, -48316155, -48316153, -48316151?\nAnswer: -48316149","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 204 + 56*j + 81*j + 181 wrt j?\nAnswer: 137","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 415565839 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*u - 61 = 4. What is the greatest common divisor of u and 39?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(m) = 12*m + 4. Let b be p(-3). Let a be (-248)\/b + -2 + 3\/(-4). Suppose -a*u + 24 = -3*u. Solve 3*y = -3*n + 8*y + 20, -n + u = -3*y for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -162, -163, -164, -165, -166, -167?\nAnswer: -168","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 4 divided by 9705?\nAnswer: 4\/9705","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 1052815 and 9?\nAnswer: 9475335","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let k(m) = m**2 + 24*m + 19. Suppose 42 = -3*f + s - 11, -2*f - 5*s - 58 = 0. Let u be k(f). Let p be u\/(-133) + 30\/(-7). Which is bigger: p or -5?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -10 (base 2) to base 10.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 1018 - 951. What is the nearest to f in 2\/3, 0.4, -0.3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-2 - 4) + 4 + -2?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -14 + 17. Let g(b) = 5*b**2 - 5*b - 6. Let u(r) = 7*r**2 - 5*r - 7. Let j(s) = -3*g(s) + 2*u(s). Determine j(p).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*d - 15 = 3*t, -3*t + 3 = -4*d + 4. Let p be (42\/98)\/(3\/d). Which is the nearest to p?  (a) 4  (b) 0.2  (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -5 + 5. What is the third derivative of -5*m**4 + 0*m**3 - 2*m**2 + 4*m**4 + v*m**3 wrt m?\nAnswer: -24*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 511376?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let n(m) be the third derivative of m**7\/1575 - m**6\/20 + 281*m**5\/450 - 193*m**4\/60 + 38*m**3\/5 - 274*m**2. Find l such that n(l) = 0.\nAnswer: 1, 3, 38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -361783847*k**6 + 956*k**2 - 1045*k - 2?\nAnswer: -43414061640*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 1629391 or 1629400?\nAnswer: 1629400","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7*l + 6162 - 6099 = 0 for l.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 224\/22 + (-4)\/22. Suppose -3*w + 4*l = f, 0 = -2*w - 4*l + 11 + 9. Find the second derivative of 3*g**2 + 2*g - 4*g**2 + 0*g**w wrt g.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be ((-1)\/(-2)*0)\/2. Suppose s = 4*u + 9 - 33. Suppose 3*q - 4*v + 8 = u*q, 0 = q + 2*v - 2. Solve -f - q - 1 = 0 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -11 or -1078?\nAnswer: -1078","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Determine l so that -2*l**2\/7 - 447832152*l\/7 - 25069204545618888\/7 = 0.\nAnswer: -111958038","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: -0.5+-128119161\nAnswer: -128119161.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2*1\/(-10)*0\/13.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((r\/(r*(r**4*r)\/r))\/((r*r\/(r\/r**5))\/r))**(-27)*(((r\/(r\/r**1)*r)\/r*r*r)\/r**(-7))**(10\/7) assuming r is positive.\nAnswer: r**(1801\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let c be -1 + 1 + 0 + 0. Let o = 4 + c. Suppose -y + o*p = -12, -2*y + 4*y - 3*p - 14 = 0. What is the units digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (11 - (16 - 9)) + (5 - 3 - -5)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f(a) = -a**3 + 7*a**2 - 4*a - 3. Let w be f(6). Let j(z) = w - 1 - 3 - 5*z. Let c(d) = 7*d + 284 + 290 - 8*d - 857 + 284. Determine -22*c(o) + 4*j(o).\nAnswer: 2*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -2.82 - 0.05. Let i = -6.87 - z. What is the third biggest value in i, 12, 0.1?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are -1612939785 and -1612939785 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j**(-2\/13))**(-50) assuming j is positive.\nAnswer: j**(100\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.002416 to three decimal places.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 9*c + 3*c - 9*c + 10*c.\nAnswer: 13*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*f = 17032*c - 17027*c, 0 = -5*c + 4*f - 18 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let n(t) = -8*t**2 + 24*t + 5. Calculate n(3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 1174 and 111676750.\nAnswer: 1174","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 8667897850 - 8667897850 + 41*p**3.\nAnswer: 41*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 334341941 is divided by 147?\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 39268, 78537, 117806, 157075?\nAnswer: 196344","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-59)\/118 + (-13)\/(52\/(-30))*8\/(-10).\nAnswer: -13\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 44 and 1564?\nAnswer: 17204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 1420, 1342, 1148, 790, 220, -610, -1748, -3242?\n\"Answer: -8*j**3 - 10*j**2 + 8*j + 1430","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -12 - -15. Suppose -u + 11 = -3*h, -b*u + 63 = -0*u - 3*h. What are the prime factors of u?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 876.\nAnswer: 2, 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: -29a (base 16) to base 2\nAnswer: -1010011010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -4 + (1 - 2) - -4.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 20\/5 + -2 - (1 + 1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r**8\/(r*r**(-1)*r))\/((r**(-9)*r)\/(r*r**(5\/4))) assuming r is positive.\nAnswer: r**(69\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 440 and 50050?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 r, 2 k, and 1 c when four letters picked without replacement from eercrkrkrc?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Does 224 divide 353273?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Express -20 + 16*b**3 + 8*b**3 - b**2 - 36*b**3 - 38 + 10*b**3 as v*b**2 + u*b**3 + d*b + t and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-8)\/20 + (-554)\/(-10). Let x = 131 - n. Let b = 25 - 6. What is the greatest common divisor of x and b?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 0 + 3. Suppose 0 = 25*g + 48 - 173. Let t = g - j. Solve t*n = 7*n - 15 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"}
{"text":"Question: Calculate (-510)\/(-15) + (230 - 225).\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose c - 4*c + 5*q + 58 = 0, 2*c + 2*q - 44 = 0. What is the least common multiple of c and 9?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -650 - -13393. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -1231 + 2200223?\nAnswer: 2132332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 30, 0.2, -37\/3, -2\/11, 51?\nAnswer: 30","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: -67.89 times -14.6\nAnswer: 991.194","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -201*r + 64*r - 130 = 144. Sort 0.0694, r, 4 in descending order.\nAnswer: 4, 0.0694, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 270636 is divided by 90210?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 472 - 469. Suppose 0 = 2*l + 2*l - 8. Suppose -l*y - g*i = 6, -5*y + 0*i - i - 2 = 0. Solve y*k = -k + 3*r - 4, 5*k - 10 = 5*r for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 81275, 81402, 81709, 82286, 83223, 84610, 86537, 89094?\nAnswer: 92371","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -1, 2, -138007, -6, -2?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 303144 a multiple of 51?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -163*t**4 - 519*t?\nAnswer: -1956*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -q = -3*k - 1256, 4*q + 24*k = 20*k + 5024. What are the prime factors of q?\nAnswer: 2, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -332 (base 10) to base 15.\nAnswer: -172","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -0.5 - -12.5. Let t = 14413.93300125 + -14401.933. Let h = l - t. What is h rounded to 7 decimal places?\nAnswer: -0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is ((-33)\/(-9))\/(1\/15) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(r) = -r - 8. Let s = -92 + 203. Suppose 14*c = -13 + s. Give g(c).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(n) = -2 + 9*n**2 - 4 - 4*n**2 - 8*n + n**3. Calculate r(-6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 26220 and 1520.\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -65*u + 7876 = -423*u for u.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-54)\/675)\/((-14)\/2975).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(1872) + -2 + 4 + sqrt(156)\/(sqrt(36)\/sqrt(3)*-3))**2.\nAnswer: 140*sqrt(13)\/3 + 15961\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 12766 and 16?\nAnswer: 102128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -17 + 27. Let u(g) = -12*g - 27. Let n(i) = -5*i - 13. Let s(l) = 7*n(l) - 3*u(l). Let b be s(h). Solve b*r + r - a - 1 = 0, -17 = -5*r + a for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-41 - 1176 - 1109 - 1658)*(4 + s - 4).\nAnswer: -3984*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Total of 10.783 and 8136.\nAnswer: 8146.783","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*j - 2*j + 15. Let b = j + 5. Suppose b*o = -2*d - 4*o, 0 = -4*o - 4. Solve -5*m + 12 = 5*s - 8, d*s - 14 = -4*m for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*c - 1998 = -5*a, 4*a + 5*c = 1161 + 421. Does 22 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1?  (a) -0.4  (b) -1  (c) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in 99.81649 tonnes?\nAnswer: 99816490","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:11 PM and 3:53 AM?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*b + 15 = -131*u + 126*u + 3 - 9, 90 = 10*b for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 60 and 4?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Sort 167, 1\/8, -5, -3315, 1\/2 in decreasing order.\nAnswer: 167, 1\/2, 1\/8, -5, -3315","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5*i**2 - 12*i**2 - 18*i**2 + 7*i**2.\nAnswer: -28*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 1 + -1. Let b = -3 + 13. Let i be (-40)\/(-225) + (-4)\/b. Are i and y equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 13337 to the power of 1\/2, to the nearest integer?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*x + 3*l - 1115 = 0, l - 317 - 568 = -4*x. What is the greatest common factor of x and 88?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*j - 3 + 1\/3*j**2 = 0. What is j?\nAnswer: -3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1238235309.\nAnswer: 3, 1487, 30841","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1 in 5.54928, -2, -3, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 2 a factor of 161?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 55\/16 and -23\/74?\nAnswer: 592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((b\/b**(-3\/11))\/(b\/(b*b**2)))\/(b*b**(2\/3)\/b*b**0\/b))\/((b**(-2\/13)\/b**0)\/(b**(-1\/12)\/((b\/((b**(-1\/3)\/b)\/b)*b*b)\/b))) assuming b is positive.\nAnswer: b**(-1127\/1716)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let q(t) = -t**3 - 7*t. Let h(d) = -d**2 + 5*d + 1. Determine 3*h(z) + 2*q(z).\nAnswer: -2*z**3 - 3*z**2 + z + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 325462788 and 84.\nAnswer: 325462788","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 6 and 14017610.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Are -20 and -236\/11 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let o(k) = 2*k**2 - 8153*k + 4142999. What is o(595)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 102 (base 7) in base 13?\nAnswer: 3c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: 28\/(-1*(-2 + 9) - -11)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 326879784 and 504?\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -23\/598536 and -121\/234.\nAnswer: 7780968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -951*w - 304*w - 17277 = 477*w + 45075 for w.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 19 - 13. Suppose q + b = 4, 4*b - 2 = -u. Suppose 3*w - 41 - 33 = -5*z, -q*z + 77 = 4*w. What is the units digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-5*q - q + 4*q)*(-3 + 2 + 0) - q - 1 + 1 + (2*q + q + 0*q)*(212 + 173 - 6) to the form r*q + n and give r.\nAnswer: 1138","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*w = -5*b - 21, 2*b = 3*b + 5*w. Let m be (-2 - b - 2)*3. Suppose -2*o + o - 5*s = -690010, -4*o + 2759994 = -m*s. Round o to the nearest 100000.\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 5569.\nAnswer: 5569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: 2622.7 times 186.44\nAnswer: 488976.188","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*g**3 + 3*g**3 - 2*g**3)*((-6*g + 3*g + 12*g)*(3 - 2 - 3) - 2*g + 0 + 0).\nAnswer: -20*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let d(n) = n**2 - 9*n + 24. Let q be d(4). Let c be (10\/(-15))\/1*6\/q. Let o = -1 + 1. Put c, o, -3, 2 in increasing order.\nAnswer: -3, c, o, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((n**(-14\/9)\/n*n)\/((n**(1\/35)*n)\/n))\/((n*n\/(n*n*n**(-5))*n)\/n**(2\/7)) assuming n is positive.\nAnswer: n**(-2299\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 0 + ((-6)\/3 - 32). Let v = f - -131. List the prime factors of v.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*h + 99 = -4*i + i, 2*h - i - 40 = 0. Let l = 554 - 543. Suppose l*c = -53*c + 512. Calculate the remainder when h is divided by c.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 210, -3, -21 in descending order.\nAnswer: 210, -3, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence mmn when three letters picked without replacement from {c: 9, o: 4, h: 1, n: 2, m: 4}.\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 915875 times -4?\nAnswer: -3663500","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 2292 to the power of 1\/3, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Does 185 divide 22015?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -1000101001101010010011101 - 111?\nAnswer: -1000101001101010010100100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 15811 is divided by 21.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 360037*h**2 + 200575.\nAnswer: 720074*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:47 AM and 8:02 AM?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 66514\/27 + -2464. Find the common denominator of -1\/75 and f.\nAnswer: 675","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 21\/32267 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i\/(i\/((((i**(-1)\/i)\/i)\/i)\/i)))**(25\/3)\/(i*(i\/i**(-1))\/i)**(-4\/11) assuming i is positive.\nAnswer: i**(-1351\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -6039, -6045, -6027, -5985, -5919, -5829?\n\"Answer: 12*g**2 - 42*g - 6009","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 10 + -6. Let o(p) be the second derivative of 1\/2*p**3 + 0*p**2 + 0 + 1\/10*p**5 + 5*p + 0*p**k. What is the second derivative of o(j) wrt j?\nAnswer: 12*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in 5.245627 tonnes?\nAnswer: 5245627000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 25309638?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let a(w) = 33*w**3 + 15*w**2 - 97*w - 68. Give a(5).\nAnswer: 3947","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand 54*g**2 + 8956 + 8948 - 17903 + (0 + 0 - 2*g)*(-2*g + 4*g + 0*g) - 4*g**2 + 7 - 7 - 2*g**2 + 2*g**2 - 6*g**2.\nAnswer: 40*g**2 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 2328\/13 - 179. Which is smaller: 0.23 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 122550 by 430.\nAnswer: 285","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) -67  (b) -264  (c) -2  (d) -2.2  (e) 0.3  (f) 2\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 o, 2 p, and 1 a when four letters picked without replacement from {b: 2, p: 4, o: 1, a: 1, m: 2, x: 2}.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 3570*w**5 - 2*w**4 + 4*w**2 - 617*w - 394 wrt w.\nAnswer: 71400*w**3 - 24*w**2 + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 8513 is divided by 822.\nAnswer: 293","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence sxs when three letters picked without replacement from {s: 2, x: 1, h: 3, p: 1, b: 8, n: 1}.\nAnswer: 1\/1680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {t: 1, k: 3, d: 6, s: 1, f: 4}. What is prob of sequence ddkk?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let j(z) = z**2 + 42*z + 280. Give j(-22).\nAnswer: -160","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -48 - -228. Suppose -h + 5*h = x. Let o be (19998 - -2)*(5 + h). Round o to the nearest 100000.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -2\/49  (b) 0  (c) -0.09  (d) 0.1  (e) -0.03\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Does 298 divide 2222458372?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is -1\/3 >= -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*j + 16 = -h, -5*j + 2*h + 11 = 3*h. Let f = -2 + j. What is the common denominator of 77\/18 and (((-83)\/22)\/f)\/(-1)?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Do -103 and -105 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 489 (base 11) in base 13?\nAnswer: 359","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 63.59 minus 3449?\nAnswer: -3385.41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 40120?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-1)\/(-2) - 5\/2. Let d(o) = o**2 - o - 1. Let c(v) be the first derivative of -v**2\/2 - 4*v + 22. Determine z*d(h) + c(h).\nAnswer: -2*h**2 + h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -13 - -355?\nAnswer: 342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -l - 1379 - 1372 + 4124 - 1373 - 76*l**2.\nAnswer: -76*l**2 - l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*a + 15 = 2*a + 2*b, 0 = 4*a + 5*b - 12 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let a(s) = -100*s - 3. Let c be a(-2). Suppose c = 4*u - 107. Suppose -x + u = 3*x. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 43 divide 10*-1*6\/((-72)\/258)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(x) = -x**3 + 4*x**2 - 2*x - 2. Let h be (-3)\/((-3)\/5) + (-42)\/21. What is q(h)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 5 - 8. Let w = -4.198 - 0.002. Let t = w - -3.9. Which is the third smallest value?  (a) t  (b) 5  (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 15*(1\/(-1) - -2). Suppose 35 - v = -4*i. What are the prime factors of (1\/2)\/(i\/(-70))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-3)\/229*6\/(-18). Is 1 at most as big as n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3489 is divided by 1158?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let x(p) be the third derivative of p**7\/525 + p**6\/300 - p**5\/30 + p**4\/20 + 6*p**2. Solve x(d) = 0 for d.\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 168 times 6.2114?\nAnswer: 1043.5152","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Does 47 divide 64752?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 799 = 29*c - 4595. Calculate the remainder when 412 is divided by c.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(b) = -25*b**4 - 40*b**3 - 246*b**2 - 482*b - 320. Let l(z) = 21*z**4 + 41*z**3 + 247*z**2 + 483*z + 320. Let i(d) = 5*a(d) + 6*l(d). Factor i(p).\nAnswer: (p + 2)**3*(p + 40)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-292)\/(-219)*5\/(80\/(-288)).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -3830*f + 3818*f - 101*f**3 + 8*f**3 + 0*f**2 + 4*f**2 wrt f.\nAnswer: -558","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 0.2  (b) 16  (c) -6  (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((d*d**(-8)*d)\/d*d*d)**(-2\/87)*(d\/(d*d**(-2\/29)*d))\/(d*d**(-9\/2)\/d*d) assuming d is positive.\nAnswer: d**(467\/174)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-16)\/2*(-1)\/2. Suppose 0 = 2*u - 4*n + 26, 11 + 5 = f*n. Let w = 0.09251 - 1.09251. What is the smallest value in 0.1, w, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -214*a**2*c*r**2 - a**2*c - a**2 - 9*a - 63*c*r + 3686*c - 66*r**2 wrt r.\nAnswer: -428*a**2*c*r - 63*c - 132*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let o(i) = -8*i + 4. Give o(7).\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let y(r) = 34*r**3 + 7*r - 7. Let b(n) = 15*n**3 + 70*n - 3 - 67*n + 2*n**3. What is -7*b(a) + 3*y(a)?\nAnswer: -17*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*g - 6*j = -65, 0 = 4*g + 5*j + 482 - 528 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 1118 to the power of 1\/4, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 7897978, 15795954, 23693930?\n\"Answer: 7897976*m + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o(c) = -262*c**2 + 39168*c. Let k(v) = 12*v. Give k(o(l)).\nAnswer: -3144*l**2 + 470016*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is -4*(-4)\/(4\/(-1))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l(z) = 26161*z - 130721. Calculate l(5).\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*a - 1701 = -21*r + 20*r, -4*r + 6770 = 5*a. What are the prime factors of r?\nAnswer: 3, 5, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 313 minutes after 8:02 PM?\nAnswer: 1:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -41*v**3 - 153*v**3 + 40*v**3.\nAnswer: -154*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 7717*x - 6868 - 2040*x + 6869 to s*x + f and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {r: 5, v: 1, s: 11}. Give prob of picking 1 v, 2 r, and 1 s.\nAnswer: 11\/238","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 121 + 116?\nAnswer: 240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let v(c) = 10*c - 5. Let n be v(5). Let j = 75 - 60. What is the highest common factor of n and j?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -3*f**2*j + 3933*f**2 - 4*f*j - 620*f wrt f.\nAnswer: -6*j + 7866","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Convert -ab07c3 (base 14) to base 6.\nAnswer: -324210435","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*j + 4710 = 4*z + 4602, 0 = 5*z - 110 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand -36*l**4 - 37*l**4 - 45*l**4 + (-4*l + 6*l - 3*l)*(-1 - 4 + 4 - 2 - 2 + 3 - 4 + 7 - 1 + (-5 + 3 + 4)*(3 + 0 - 1))*(0*l - l**3 + 0*l).\nAnswer: -114*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8 = -7*b + 3*b. Let f = 386 - 375. Suppose 3*i = -b*y + 9, i + 3*y - f = -3*i. Solve -41 = i*p - 16 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(h) = 7 - 4*h**2 + h**2 - 4*h**2 + 8*h. Let a(c) = 17*c + 2*c**2 - 4 + 7*c + 3 - 25*c - c**2. What is 6*a(j) + d(j)?\nAnswer: -j**2 + 2*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 12, 43, 120, 261, 484, 807, 1248, 1825?\nAnswer: 2556","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*f = d - 1288 + 1232, d = 10*f - 191 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose t - 15 = -5*x, -5*x + 8 = -4*t - 7. Solve 4*p = x*p + n, 2*p - n = -3 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1 (base 6) to base 5.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of (-528 + 1091)\/((-4)\/6 + 55\/78)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 314?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 4*(1 + (-14)\/4). Let f(v) = v**2 + 18*v - 10. Let z be f(r). Let w be (4\/(-10))\/(1\/z). Calculate the highest common factor of 9 and w.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 29486 and 380113?\nAnswer: 641","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*p - 2 = j, -j + 0 + 6 = -4*p. Suppose 5*m + j*l = 5593, -3*m + m - 3*l = -2235. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -45a (base 15) to base 3.\nAnswer: -1100111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 18 and 76.\nAnswer: 684","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let x(h) = h**2 - 469*h - 18695. Determine x(-37).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let p(z) = z**3 + 2*z**2 - 2*z + 2. Let q be p(-3). Let g = 5 + q. Let n be ((-3)\/2)\/((-6)\/g). What is the nearest to 1 in n, -5\/3, 5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from bbbzlqbeqqqqqeqeqbcz. Give prob of picking 2 q.\nAnswer: 14\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 260178, 520332, 780464, 1040574?\n\"Answer: -11*t**2 + 260187*t + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -52*v + 47*v - w - 2, 5*v = -5*w - 10 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 0.8 - 1.8. Let g = -4\/51 - -38\/51. Suppose 2*l + 6 = x + 6*l, -4*x - l - 6 = 0. Which is the smallest value?  (a) g  (b) s  (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2 + (-5 + (-2 + (sqrt(112) - sqrt(112)*1) + sqrt(112))**2 - (-3 + (sqrt(448) - (sqrt(448) - (sqrt(448) + -1))*-2))).\nAnswer: -24*sqrt(7) + 110","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3073208 is divided by 209?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -791937 and -0.4.\nAnswer: 316774.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let f(z) = -128*z**2. Let w(r) = -8*r. Determine f(w(x)).\nAnswer: -8192*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 2 - 4. Let w = 5\/37 + 577\/111. Find the common denominator of w and 2\/n - 63\/8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*s = 3*s - 80. Is (-19803)\/(-12) - (-12)\/s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((y**0\/y)\/((y\/y**(-2\/17)*y)\/y))\/((y\/(y\/(y*y\/y**(-4))*y)*y)\/y)**36 assuming y is positive.\nAnswer: y**(-3096\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 814649 is divided by 30.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 5306 to the power of 1\/2, to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 14977 - 14977 + 160785*z.\nAnswer: 160785*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify p**(-4)*p\/((p\/(p**(4\/5)\/p))\/p)*((p*p**(3\/4))\/p*p*p)\/(p*p*(p**(-3)\/p)\/p*p) assuming p is positive.\nAnswer: p**(31\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-10)\/(-2) + (-1463)\/(-42). Let h = m - 106\/3. What is k in 15\/4*k - 9\/8 + 9\/4*k**3 - 3\/8*k**4 - h*k**2 = 0?\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 917 (base 10) in base 13?\nAnswer: 557","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v(h) = -25*h**3 + 88*h**2 - 8*h - 35. What is the thousands digit of v(-8)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1\/4, -2\/15, 46, 0.044 in ascending order.\nAnswer: -2\/15, 0.044, 1\/4, 46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 1, -6077, 4, -5, -28, -1, 2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.20362298 rounded to three decimal places?\nAnswer: 0.204","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -1107\/445 - 10\/89. What is the common denominator of x and -22\/9?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -4205.9 - 0.2?\nAnswer: -4206.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -18*s = -12*s - 246. Suppose 3*j = i - 12, -9 = 2*i - 4*j - s. Let g be (-2)\/10 + (-1)\/(5\/i). Which is smaller: g or -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 15, -2\/3, 1\/2, 1\/4?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Factor -200*q**2 + 5020*q - 3416.\nAnswer: -4*(5*q - 122)*(10*q - 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 f and 1 s when two letters picked without replacement from {s: 6, y: 3, f: 1, k: 2, u: 1}.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 2663 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 32421 - 32378. Which is smaller: -140 or f?\nAnswer: -140","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(a) = -3*a**2 - 3*a + 3. Let j(x) = 6*x**2 + 7*x - 7. Let g(u) = -u**3 + 8*u**2 + 12*u - 22. Let o be g(9). Suppose 4 - 74 = o*z. Give z*v(h) - 6*j(h).\nAnswer: 6*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*q + 1 = 4*l - 37, -4*q = 5*l - 47. What is the units digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: -390b (base 12) to base 7\nAnswer: -24632","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (5\/1200)\/((-368)\/1840)?\nAnswer: -1\/48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 14933 - 371 = -427*b - 10739 - 14410 for b.\nAnswer: -93","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 1*-1*2\/5. Suppose k - 4*j = 20, 3*k + 644*j + 4 = 640*j. Let s be (-24)\/(-16)*10\/45. Which is the third smallest value?  (a) -0.2  (b) i  (c) s  (d) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -t - 4*t + 30. Let a be (18\/t)\/(3\/(-4)). Let n(d) = -d - 2. Give n(a).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*c = -13*c - 336. Let w = c + 91. Suppose w*j - j - 246 = 0. What is the highest common factor of 451 and j?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-3 + 2)*1\/(-5*5\/425)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*g + 3*p - 9, -5*g - 35 = p - 6*p. List the prime factors of ((-24)\/30)\/(g\/830).\nAnswer: 2, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 15561 and 2205?\nAnswer: 544635","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let p(y) = 4*y + 4. Let j(g) = -g - 1. What is 3*j(o) + p(o)?\nAnswer: o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Sum 40694 and 0.\nAnswer: 40694","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let z(c) = 13*c**2 + 7*c - 18. Let p = -427 + 430. What is the remainder when z(p) is divided by 14?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: -5305 divided by -5\nAnswer: 1061","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 259048451?\nAnswer: 19, 13634129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Factor 20*a**4 - 4510485*a**3 + 1127620*a**2.\nAnswer: 5*a**2*(a - 225524)*(4*a - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1999011.\nAnswer: 3, 7, 95191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 100931\/2 - 73477861\/1456. Find the common denominator of 66\/65 and h.\nAnswer: 7280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 111207106?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*g + 29 = -136. Let d = -8 - -13. What is the greatest common factor of d and g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 300111414?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: -5075.04 + 2\nAnswer: -5073.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let r**2 + 9666*r + 23357889 = 0. Calculate r.\nAnswer: -4833","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -4, 0.1, -13.1, 4?\nAnswer: -13.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 f when two letters picked without replacement from rzfoefrezfeffref.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let t(c) = -c**2 + 6*c + 2. Let i be t(6). Suppose -i*w = -5*w + 798. Let d = w - 139. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (175\/65 + -2)*4\/3. Let h = j + -23\/39. Factor -m + 2\/3 + h*m**2.\nAnswer: (m - 2)*(m - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -4, 3, 14, 29?\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 4?  (a) 1.5  (b) 106  (c) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -43.19 - -43. Let o = p - -5.19. Sort o, -5\/6, 11 in ascending order.\nAnswer: -5\/6, o, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find z, given that 1\/8*z**2 + 485\/8 + 51\/4*z = 0.\nAnswer: -97, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f*f**(-27)*f)**29 assuming f is positive.\nAnswer: f**(-725)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*s = 5*j + 11, -5*j + 0 = s - 9. Let h(c) = c - 1. Let l be h(s). What are the prime factors of (-7)\/(-3)*(l + 0)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4*d - 8962086 + 8962086.\nAnswer: 4*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -191\/2 - -95. Which is the closest to -7?  (a) 3  (b) g  (c) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(p) = -8*p**3 - p**2 - 18*p - 8. Let q(d) = -3*d**3 - 6*d - 3. Let x(f) = -4*k(f) + 11*q(f). Let n be x(5). Solve -n*j + 6 = 2 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from hmehhkzhh. What is prob of sequence kh?\nAnswer: 5\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q\/(q**(-16)*q))\/(q**(10\/9)*q)*(q\/q**(3\/5))**(-7\/11) assuming q is positive.\nAnswer: q**(6749\/495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((o**1\/o)**18)**(-7)\/((o**(1\/2))**(-29))**(-1\/40) assuming o is positive.\nAnswer: o**(-29\/80)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 0.01 + 2.99. Sort 0.2, j, -2 in increasing order.\nAnswer: -2, 0.2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 210111 - 1?\nAnswer: 210110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 9, 22\/9, 4, 0.2, 0.4, -0.4?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {o: 1, k: 5, t: 6, f: 3, s: 2, v: 2}. What is prob of picking 1 o, 1 v, 1 t, and 1 k?\nAnswer: 5\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 23 and 253?\nAnswer: 253","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*s = 3*n + 3*s - 75, -2*n + 30 = -2*s. Suppose y - a + n = 0, 0 = -4*y - 11*a + 6*a - 116. What is y rounded to the nearest 10?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 6660 and 7215.\nAnswer: 555","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -14793404, -29586847, -44380290, -59173733, -73967176, -88760619?\nAnswer: -103554062","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*a - 1000 = -5*k, -a + 5*k + 1020 = 4*a. Suppose 3*q + 4*x - a = 2*q, -4*q + 718 = -2*x. What is the tens digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many nanometers are there in 5195.34 kilometers?\nAnswer: 5195340000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1302513?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -19 - -17?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let a(j) = -7*j + 1093. Give a(113).\nAnswer: 302","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*w + 5*w = 12. Suppose 0 = -l + w*l + 10. What is the remainder when 36 - (0 + l + 3) is divided by 18?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 6*k - 147 + 27. What is the highest common divisor of k and 90?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 0.19 + 0.81. Do -2\/3 and n have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: 24 (base 8) to base 13\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4331 = -11*w - 118266 - 1466. Which is greater: w or -10492?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*z + 4 = 2*r, 2*r = -3*r + 4*z + 33. Suppose 5*w + 10 = 0, -r*w = -5*p - 718 + 38. Let v = p - -353. Is 13 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -2 * 143.289019.\nAnswer: -286.578038","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -212c - -1?\nAnswer: -212b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*d**5\/8 - 33*d**4\/2 - 1293*d**3\/8 - 114*d**2 + 585*d\/2 = 0 for d.\nAnswer: -30, -13, -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Add 1521373307527 and 5.\nAnswer: 1521373307532","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let h(z) = 7*z**2 + 41*z + 2. Let a = 218 + -220. Let f(m) = m**2 - 1. Let b(v) = a*f(v) - h(v). What is the second derivative of b(r) wrt r?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (6\/(-9))\/((-2)\/15). Suppose p = -6 + y. Let z(n) = n**2 - n + 1. Let q(m) = -4*m**2 + 4*m - 10. Let v(r) = p*q(r) - 6*z(r). Solve v(d) = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*g - 3*i - 20 = -0*g, 5*g - 30 = 5*i. Let b(z) be the second derivative of 0 - 1\/3*z**3 + 0*z**g + 3*z. Determine b(5).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (6\/4*(-58)\/(-783))\/(-1).\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -3268.998 + 3269. What is the second biggest value in l, -9, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -3\/77 + 237\/154. What is the second smallest value in -6\/7, 1\/6, 2, p?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 36 + -22. Let z = u - 10. What is the lowest common multiple of 12\/(2 - (2 + -1)) and z?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -77, -155, -229, -299, -365, -427, -485?\nAnswer: -539","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j(r) be the third derivative of r**5\/135 + 5*r**4\/9 + 112*r**3\/27 - 2*r**2 - 2*r + 646. Let j(a) = 0. What is a?\nAnswer: -28, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0*-285.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: 2 - 9 - (4 + -10 + 4)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -93, 57, 283, 579, 939, 1357?\nAnswer: 1827","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -13.6 - -14. Let f = 5 + -4.5. Let v(m) = 23*m + 2. Let z be v(-1). Which is the third smallest value?  (a) r  (b) f  (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8 = 2*c + o, -4*c - 18 - 4 = 5*o. Let s be (-1)\/(-1 + 2) - c. Find the third derivative of -s*t**5 + 2*t**5 - t**2 - 2*t**5 wrt t.\nAnswer: -120*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in 3\/25 of a meter?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 1098540 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 797, 1096, 1575, 2228, 3049, 4032, 5171?\n\"Answer: -n**3 + 96*n**2 + 18*n + 684","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many days are there in 4.666183 weeks?\nAnswer: 32.663281","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z(k) = -1331*k**2 - 6*k - 15. Let l be z(-11). What is l rounded to the nearest ten thousand?\nAnswer: -160000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 62 a factor of 640069741?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = a + 3*a - 16. Suppose q + 17 = -287. Let o = -288 - q. Calculate the greatest common divisor of a and o.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be -5 + 2 + -1*72. Let q = s - -49. Round q to the nearest 10.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.2?  (a) 5  (b) -2  (c) 0.4  (d) -9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: 1288*(-29)\/(-232)*9*(-10)\/315\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -b = 2*b - 6. Suppose g = -g - b. Let r = 2 + -5. Put -5, r, g in increasing order.\nAnswer: -5, r, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -540, -894, -1250, -1608, -1968?\nAnswer: -2330","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 17  (b) -5\/4  (c) 3  (d) 68\/5  (e) -1\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*c = 5*b + 12, 0 = -4*c + 2*b + 12. Let y(m) = -3*m - 1. Let k be y(-1). Suppose -2 = -k*f + f. Do c and f have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: -600090 (base 11) to base 14\nAnswer: -1b228d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 115 minutes after 10:20 PM?\nAnswer: 12:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let k(j) = 22*j - 13. Let r(l) = 27*l - 11. What is -6*k(t) + 5*r(t)?\nAnswer: 3*t + 23","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is -0.04 less than or equal to -13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*n + n + n)*(3*n - 5*n + n) + 3*n**2 - 7*n**2 + 2*n**2 + n**2 - 3*n**2 + 9*n**2.\nAnswer: 6*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 3 + 2 + -4 - 4\/(-1). Let x = 190 - t. What is the hundreds digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 196 + -166. Calculate the greatest common divisor of 60 and t.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(l) = -7*l**2 + 160*l - 887. Give o(6).\nAnswer: -179","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 0 not equal to 1\/1801?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 148.9 - 6.9. Are b and -1\/3 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {p: 9, a: 5}. Give prob of sequence ap.\nAnswer: 45\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 37653*w + 3657 = 37812*w for w.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -929 divided by 2.\nAnswer: -929\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*x**3\/7 + 75699*x**2 + 23368914936*x\/7 - 2647457920176\/7 = 0.\nAnswer: -88372, 113","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 10 a factor of 12094140?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 8382 and 66.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 17954?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 6 - -74. Let x = b - 44. What is the tens digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(s) be the third derivative of s**6\/240 - 263*s**5\/120 - 529*s**4\/48 - 265*s**3\/12 + 216*s**2 - 8*s. Factor j(q).\nAnswer: (q - 265)*(q + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(y) = -2*y - 3. Let c(n) = 1 - 7 + 5. Calculate 2*c(f) - d(f).\nAnswer: 2*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -5.1 + 5. Let h be 16\/4 + 0 + 66. Suppose 5*q + 3*s = -h, -3*s = -4*q - 4 - 25. Is j < q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -h - 50 = u, 5*u + 27 = -4*h - 178. Let a = 67 + h. What is the least common multiple of 14 and a?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -10*b - 7 + 37. Find z such that 208*z + 6*z**b - 2*z**4 - 208*z + 20*z**2 = 0.\nAnswer: -2, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 1 + (-6 - -3) + 4\/1. Suppose -a + j + 33 + 4 = 0, -a + x*j = -39. Suppose 39 = 38*b - a*b. Solve -5*w + 3 = b for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -914*x + 292*x = 25502 for x.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: 540 divided by 135\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3 - ((5 - -1) + -12).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*t + a = -16, 2*t - 3*a - 128 = -150 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -c5 - 83?\nAnswer: -158","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -43*a - 20*a + 5*a.\nAnswer: -58*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: 341*-3\nAnswer: -1023","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let t(h) = -h**2 - 2. Let v = 57 - 79. Let a be 2\/(-8)*1*4 - v. Let k(s) = 0 - 4 - 3 - 3*s**2. What is a*t(r) - 6*k(r)?\nAnswer: -3*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let n(f) = 29*f**3 - 46*f**2 + 64*f + 69. Is 10 a factor of n(9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 6 + -2. Let a = k + -3. What is the remainder when a is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 180 divided by 60.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 55003, 439762, 1484091, 3517774, 6870595, 11872338?\nAnswer: 18852787","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g(r) be the first derivative of -r**2 - 10369. Let c(w) = -1 + 8*w**2 + 1. Calculate g(c(a)).\nAnswer: -16*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 i when two letters picked without replacement from {k: 1, i: 2, w: 2}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose p + p = -3*n, 5*p + 25 = 5*n. Suppose 4*r - 27 = 21. Suppose 0 = -3*b - r, 7 - n = -3*w - 5*b. Let x(o) = -o**3 + 4*o**2 + 4*o + 2. What is x(w)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 129429882 divided by 45946\nAnswer: 2817","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -31, -9, 29, 83?\n\"Answer: 8*b**2 - 2*b - 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -101158.1943 rounded to the nearest 1000?\nAnswer: -101000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -928 + 928 - o**3.\nAnswer: -o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in two fifteenths of a millennium?\nAnswer: 1600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 8069 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Round 51133000 to the nearest one million.\nAnswer: 51000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -26a7 + -4?\nAnswer: -2700","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*-6*4*(sqrt(468) + sqrt(468) + -3)*-6)**2*-4.\nAnswer: -156017664 + 5971968*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1160?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 15 - -2312233?\nAnswer: 2312251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let y(l) = -l**2 + 67*l - 188. Let k be y(64). Solve k*j + 5*x = -11, 0*j + 2*j = -2*x - 6 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 24 divide 605668?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Find c, given that -3*c**3\/4 + 454911*c**2\/2 - 12737067*c\/4 + 11144805 = 0.\nAnswer: 7, 303260","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in twenty-one quarters of a year?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f(r) = -17 - 86*r - 10 + 23. Does 15 divide f(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(k) = 3*k**3 + 19*k**2 - 20*k - 37. Let a be g(-7). Solve -w + 17 = a*u, -2*u + 4 = -w - 7 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3099297.\nAnswer: 3, 1033099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 170829037?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -1\/18, -5, -4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 60 a factor of (-4)\/(-14) - 2056\/(-7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in fifty-three quarters of a gram?\nAnswer: 13250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -57*r**2 - 14*r**2 + 409*r**2 - 235 wrt r?\nAnswer: 676*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 1399960 and 200.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let h(l) = -42*l - 57. Let v(u) = 5*u + 7. What is 6*h(q) + 51*v(q)?\nAnswer: 3*q + 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 e, 1 z, and 1 c when three letters picked without replacement from zeezzqqezc.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 351c + 6b24?\nAnswer: a343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 275660 a multiple of 143?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -4 - 1bd72?\nAnswer: -1bd76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 17\/33 and -25\/10582737.\nAnswer: 10582737","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 3.64 times 0.18883?\nAnswer: 0.6873412","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2 + 1 - (10 + -14).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 1.3 less than -499995640460?\nAnswer: -499995640461.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let t(q) = -16*q**2 - 3*q + 3. Let d(y) = -17*y**2 - 2*y - 12. Let c(h) = 8*h**2 + h + 5. Let o(k) = -7*c(k) - 3*d(k). What is -7*o(x) + 2*t(x)?\nAnswer: 3*x**2 + x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-30)\/(-8) - 3\/(-12). Suppose -4*x - f + 0*f = -1329, 5*x + g*f - 1675 = 0. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 78.62263t in micrograms?\nAnswer: 78622630000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 10*j - j + 3 - 3.\nAnswer: 9*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 70, 85, 100, 115?\nAnswer: 130","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n(l) = 68*l + 6733. Let v be n(-97). Sort -3, 7, v in descending order.\nAnswer: v, 7, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: 9 divided by -4370165\nAnswer: -9\/4370165","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*a + 13*o - 8 = 16*o, 5*a = -5*o - 10. What is the nearest to -0.1 in a, -3\/7, -1?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(i) = -i**2 + i. Let m(s) = -5*s - 4. Let k(y) = y**2 + 26*y + 20. Let x(g) = -2*k(g) - 11*m(g). Let d(u) = -3*h(u) + x(u). Determine d(0).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(j) = -j**3 + 4*j**2 + 12*j. Let n be (-2)\/(-8) - (-92)\/16. Let z be y(n). Solve 4*h + 12 = u, -u + z*h + 6 = -h for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(t) be the first derivative of 2*t + 5\/2*t**2 - 4\/3*t**3 + 7 - 1\/4*t**4. Determine p(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(b) = b**2 + 2*b + 3. What is t(-7)?\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((o**(2\/3))**11\/(o**(1\/4)*((o*o\/(o*o\/o**(3\/5))*o*o)\/o*o)\/o))\/((o**(-1\/4))**1)**34 assuming o is positive.\nAnswer: o**(839\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 577247, 1154490, 1731733?\n\"Answer: 577243*m + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Express (0 + 0 - 2)*(-12*i - 25*i - 6*i)*(-4*i + 2*i + i) as r*i + h + k*i**2 and give k.\nAnswer: -86","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 4 g when four letters picked without replacement from {w: 1, g: 10, c: 4, o: 2, v: 2}?\nAnswer: 35\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: 1042 (base 7) to base 4\nAnswer: 11311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 3124013 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Express 49 + 49 - 82 + 7*z**3 as q*z + a*z**3 + k + b*z**2 and give k.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*x + 7*x - 323794 = 14778. Is x a multiple of 68?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*a + i - 1, 5*a + i = -9 + 19. Solve -3*u - 43 = 3*h - 34, -u = -h + a for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(i) = -i**2 + 5*i + 2. Let a be o(7). Let l be 3 - (a\/(-10) - -2). Which is smaller: -1 or l?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 19191 and 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -525793, -1051578, -1577361, -2103142, -2628921?\n\"Answer: f**2 - 525788*f - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 871788 and 60?\nAnswer: 4358940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -10 - ((-3 - 2) + (-7 - -3)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -1057, -1060, -1073, -1102, -1153?\n\"Answer: -w**3 + w**2 + w - 1058","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((r\/r**(2\/59))\/(r\/r**(1\/8)*r))\/(r**(-5\/4)\/r*r*r**(-2\/27)))**1 assuming r is positive.\nAnswer: r**(5291\/12744)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -58 - -13. What is the tens digit of b\/(-18)*(-54)\/(-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from mrmhhmgmohhmggrmm. Give prob of picking 3 h.\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10*u - 72 = -552. List the prime factors of u.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 386287 by -38.\nAnswer: -386287\/38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 0*(9\/42)\/(12\/28). Solve t = -9*x - 19 - 26 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3 + 3 + 1141*u**2 - 1142*u**2.\nAnswer: -u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8 = -4*u, -153*u - 453 = -5*v - 154*u. What is the common denominator of (-9)\/24 + 4 + v\/42 and 2\/5 - 741\/240?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(q) be the first derivative of 9*q**4\/4 - 5*q**2\/2 + 4. What is the second derivative of o(x) wrt x?\nAnswer: 54*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 1308\/137  (b) -2  (c) -52  (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let v(x) = 142*x. Let d(t) = -670274*t**2. Determine d(v(h)).\nAnswer: -13515404936*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0 in 0.23, -1\/2, -14?\nAnswer: 0.23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-4 + 2 - -4) + 3. Suppose 4*p + 22 = s, -s = -c*p - 5 - 22. Solve -7 = 5*u - s for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -23, -89, -197, -347?\n\"Answer: -21*q**2 - 3*q + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l be ((-185)\/(-15))\/(2 + 94\/(-48)). Let c = -15 - 47. Let i = l - c. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -0.43097 + 0.431. Round n to 6 dps.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -4 divided by -58081?\nAnswer: 4\/58081","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 108702311?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1 + 3 = -2*s, -35 = 3*g - 5*s - 99 for g.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 96803653*n**4 - 193088147*n.\nAnswer: 1161643836*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -81692491 or -81692492?\nAnswer: -81692492","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 2616 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 171676093 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {i: 1, m: 1, u: 1, h: 1, g: 3}. Give prob of picking 1 u, 1 i, and 1 g.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 1\/4, 2704, 366?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -16*o**2 - 49*o + 49*o + 81*o**2.\nAnswer: 65*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 0.304 != 5582.63?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 3\/886 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let m(g) = -36*g**3 + 2*g**2 - 10*g + 9. Let s(c) = -70*c**3 + 4*c**2 - 20*c + 18. Let z(b) = 5*m(b) - 3*s(b). What is the tens digit of z(3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0*w**2 + 0*w**2 - 10*w**2 - 10*w**2.\nAnswer: -20*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -41931, -41845, -41715, -41535, -41299?\nAnswer: -41001","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n(k) = -36*k**2 - 35*k + 9. Determine n(1).\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -26571*x**4 + 67*x**3 + 28718845*x wrt x.\nAnswer: -318852*x**2 + 402*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let l(k) be the third derivative of 41*k**5\/20 + 16*k**2 - 38. Let t(z) = 23*z**2. Calculate t(l(x)).\nAnswer: 347967*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Does 16 divide 8224?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let d(s) = 10*s + 208. Let g be d(-19). Let m be g + 51\/(-12) - 2\/8. Suppose -m*j + 3\/2*j**5 + 0 - 36*j**3 - 9*j**4 - 39*j**2 = 0. What is j?\nAnswer: -1, 0, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -4251 - -38260\/9. What is the nearest to -3\/8 in -1\/4, -2\/85, b?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 6.09022 or 2\/7?\nAnswer: 6.09022","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 65167 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*n = 18*g + 5245 - 5227, -32*g - n - 32 = 2*n for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let g(j) = -17*j**3 + 3*j + 1. Let d(i) = 17*i**3 - 4*i - 2. Calculate -3*d(q) - 4*g(q).\nAnswer: 17*q**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((o\/(o*o**(-2\/5)))\/o)\/o**(-1))**(-25) assuming o is positive.\nAnswer: o**(-10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*f = 2*f + 3*b, 0 = 5*f + b - 24. Solve 39*u = 38*u + f for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*i = 13*i - 4*q - 2288, 0 = 2*i + q - 910. Is i a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, -2, 6, -26, 5, 23 in ascending order.\nAnswer: -26, -4, -2, 5, 6, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 3 + 1. Suppose -n = 3*c - 100. Suppose 0*y - c = -3*y + 4*z, 3*y = -3*z + 60. Is y a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*o + 223127 = 21391. What are the prime factors of o?\nAnswer: 151, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 1162509?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-1)\/(23\/(-1150)*-75).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from mtbbbmbyybyyytbtbbt. What is prob of picking 2 m?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let g(m) = -2*m**2 + m - 91. Let q(n) = -n. Calculate q(g(j)).\nAnswer: 2*j**2 - j + 91","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 6 and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Convert -222 (base 4) to base 16.\nAnswer: -2a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ff when two letters picked without replacement from afbfffauf.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 l and 2 w when three letters picked without replacement from {w: 3, z: 2, d: 6, l: 2}.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*v - 4*v - v**3)*(25 + 46 - 2)*(-2 - 4 + 7)*(5 + 0 - 4).\nAnswer: -69*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let w(m) = 48*m**3 - m. Let t be 4\/(-10) + 7\/5. What are the prime factors of w(t)?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 22 and 5654.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {g: 1, k: 4, d: 3, x: 2, h: 1, q: 1}. What is prob of picking 1 g and 1 d?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 492606 a multiple of 673?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p**(-1))**47*((p*p**(1\/10)\/p)\/p)\/p**(-2) assuming p is positive.\nAnswer: p**(-459\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 55*x + 72*x - 23*x.\nAnswer: 104*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((l\/(l*l**24*l*l))**(-35)*l*l**(-28)*l*l*l**(-9))**44 assuming l is positive.\nAnswer: l**38544","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 306 + -294. Let n(u) = u**3 - 9*u**2 + 16*u + 7. Let o be n(7). Calculate the greatest common factor of t and o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4221.\nAnswer: 3, 7, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.5, -0.282, 3\/5, 0.4, -5 in decreasing order.\nAnswer: 3\/5, 0.4, -0.282, -0.5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let y(c) = -c**3 + 5*c**2 - 7*c + 17. Is y(-12) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:19 AM and 1:39 PM?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 2*f - 2*i, 151013*i = 2*f + 151012*i + 5 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 0.1 - 0.2. Let r = 32960 + -32961. Which is the closest to s?  (a) -0.07  (b) -4  (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 3025 + -3028. Let q = -2609\/18 - -145. Let v be 0\/1 + (-4)\/(-10). Which is the closest to q?  (a) -0.4  (b) v  (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 6, 158, 1, -337 in ascending order.\nAnswer: -337, 1, 6, 158","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 641690 is divided by 641661.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -42 = -n - 13*n. Let m(w) be the second derivative of 2*w**2 + 4\/3*w**n + 5\/12*w**4 - 4*w + 1\/20*w**5 + 0. Factor m(i).\nAnswer: (i + 1)*(i + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 1687049?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 2*m**3 - 5067*m**2 - 2*m - 8059.\nAnswer: 6*m**2 - 10134*m - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10 = x + x - 2*f, 0 = -5*x - 2*f + 4. Suppose -x*z - 2 = -3*z. Let i = -27 + 29. What is the least common multiple of i and z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 645 or 638?\nAnswer: 645","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*g**4 - 18*g**3 + 34*g**2 + 18*g - 36 = 0. Calculate g.\nAnswer: -1, 1, 3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -212120220202 - 1001?\nAnswer: -212120221210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let r(b) = 221 - 10*b + 3*b - 15*b - 238. Does 34 divide r(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many micrograms are there in three tenths of a milligram?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2117?\nAnswer: 29, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 1301718, 2603425, 3905132, 5206839?\n\"Answer: 1301707*h + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 3612?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1211153?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 173259, 346432, 519511, 692496, 865387, 1038184, 1210887?\n\"Answer: -47*c**2 + 173314*c - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert 11223443 (base 5) to base 13.\nAnswer: 3740a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -6581 + -11?\nAnswer: -6592","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 4736430648 to the power of 1\/3, to the nearest integer?\nAnswer: 1679","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.2, 2\/7, -8, 4, -0.06 in decreasing order.\nAnswer: 4, 2\/7, -0.06, -0.2, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -226 + 852. Let o = -637 + v. Which is the biggest value?  (a) 0.04  (b) -2\/5  (c) -5  (d) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -184 - -184.158. Let h = -0.658 + y. Which is the third smallest value?  (a) 3  (b) h  (c) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"}
{"text":"Question: Simplify 4*(5*(3 + (sqrt(1872) - (-2 + sqrt(1872) + -4) - (2 + sqrt(1872) + sqrt(1872)*2 + sqrt(1872) + sqrt(1872)))))**2.\nAnswer: -84000*sqrt(13) + 4684900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*k = -2*s - 35, -357 + 357 = 4*s - 4*k for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2427932356.\nAnswer: 2, 2887, 210247","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let k(p) be the second derivative of p**3\/6 - 5*p**2\/2 + 4*p. Give k(0).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 202 is divided by 52?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is -100 at least -29?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: -15*(-2666)\/(-860)*2\/3\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 50 = 28*c - 34 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Sort -59, -3\/2, -0.18, -4.7, -4.\nAnswer: -59, -4.7, -4, -3\/2, -0.18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let n(z) = z + 5. Let v(k) = 139. Let g(f) = 31. Let s(r) = -9*g(r) + 2*v(r). Give n(m) + 6*s(m).\nAnswer: m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 6*sqrt(17)*3*-1 - (sqrt(204) + (sqrt(204) - (sqrt(204) - 2*sqrt(204)*6)))\/sqrt(12).\nAnswer: -31*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6 = -2*z - 2. Let i(n) = -4*n - n**3 + 3 + 0*n - 4*n**z + n. Is i(-4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 e, 2 o, and 1 f when four letters picked without replacement from {f: 2, e: 1, v: 2, b: 6, o: 3, p: 4}?\nAnswer: 1\/510","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 77\/48105 and -133\/450?\nAnswer: 481050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Divide 123304 by -30826.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -80*o + 5544 = -87*o. Let w = -530 - o. Calculate the remainder when w is divided by 22.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*y - 5*y + 0*y)*(-16 - y**4 + 19*y**3 - 19*y**3).\nAnswer: 5*y**5 + 80*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -537 = -151*g + 520 for g.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -7.21 + -26.78. What is m rounded to the nearest integer?\nAnswer: -34","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 22*f - 2776 = -3*v + 17*f, 2*v - 1855 = f. What is the units digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1 + -9 - -21 - (-1 + 5 + 1).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*t**2\/11 - 4720*t - 30632800 = 0. What is t?\nAnswer: -12980","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 1\/187210 - 608919\/91077665. Find the common denominator of x and -1\/1946.\nAnswer: 1946","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(r) = 455*r**2. Let o(a) be the second derivative of -2*a**3\/3 + 432*a. Give o(g(u)).\nAnswer: -1820*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:31 AM and 11:56 AM?\nAnswer: 385","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -23848.6 rounded to the nearest ten thousand?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 4092 and 61900428.\nAnswer: 680904708","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let s(o) be the third derivative of 2*o**5\/5 - o**3\/6 + 4*o**2. Let p be s(2). Round p to the nearest ten.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -d + 3*g + 2*g + 8, -2*g = -5*d + 17. Solve 133 = -d*f + 148 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -18, -17, -6, 21, 70, 147?\n\"Answer: h**3 - h**2 - 3*h - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in 15\/4 of a millimeter?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q(h) = -2*h**2 - 461*h - 73. Let z(i) = -3*i**2 - 692*i - 104. Determine 7*q(l) - 5*z(l).\nAnswer: l**2 + 233*l + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let i(j) = j**3 + 14*j**2 + 2*j + 29. Let w be i(-14). Which is smaller: 21\/13 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1883704?\nAnswer: 2, 41, 5743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 212842 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1168 - 617 + 23350*n + 2*n**3 - 18821 - 23350*n.\nAnswer: 2*n**3 - 20606","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 392285369 is divided by 30.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 6497 is divided by 971.\nAnswer: 671","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let p(w) = -31*w**2 - 2593*w + 7758. Calculate p(3).\nAnswer: -300","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -15?  (a) 0.4  (b) 0.93  (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*b**2 + 84*b.\nAnswer: 3*b*(b + 28)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -11*l + 15*l + 8 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 658 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let q(p) = -p. Suppose 5*h + 13 - 28 = 0. Let k(n) = -4*n - h*n + 5*n. What is k(q(s))?\nAnswer: 2*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 4 + -2 + (-1 - -4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 35\/(-170)*9552\/(-5572).\nAnswer: 6\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q(u) = -11*u + 28. Let b be q(5). Let j(l) = l**2 + 20*l. List the prime factors of j(b).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -3.2383754 rounded to 2 dps?\nAnswer: -3.24","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((g**(-1\/2)*g*g*g**(-2\/3))\/(g**(-1\/3))**3)\/((g**(-1\/3)\/g)**(-4\/9)*(g**1*g*g)\/g**(-8)) assuming g is positive.\nAnswer: g**(-527\/54)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((118\/354)\/((-2)\/(-12)))\/((-3)\/(-21))?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 28, 2044, 5392, 10072?\n\"Answer: 666*o**2 + 18*o - 656","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 3 a factor of 938787?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -1529, -2819, -6315, -13121, -24341, -41079, -64439?\n\"Answer: -184*q**3 + q**2 - 5*q - 1341","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f(b) = 346*b - 583. Does 143 divide f(26)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 0\/((-1 + -1)*1). Let m be 686\/(-10) + (5 - 5). Let f = -69 - m. Is f bigger than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -3664 - -4099. What is the greatest common divisor of 345 and s?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-30)\/16*(-2)\/(-5). Are -2 and h unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 529 divide 632926677?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -a + 63 - 4 = 0. What is the remainder when a is divided by 31?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 2, 3, 2, -1, -6, -13, -22?\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o(f) = f**2 - 19*f - 23. Calculate the remainder when 193 is divided by o(22).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 143411 (base 6) in base 8?\nAnswer: 32677","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 4 - (1 - 2) - 4 - 4?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b(s) = -18*s**3 + 12*s**2 - s + 1. Let p(d) = -9*d**3 + 5*d**2. Suppose 5*l + 11 = -g, 54*g - 51*g + 3 = 0. Let m(u) = l*b(u) + 5*p(u). Calculate m(1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -1 + (6 - -2) + -4 - 1.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -121 (base 3) in base 13?\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-1 + 8\/5)*-10.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 35*v**4 - 98*v**2 + 3*v + 57*v**3 - 33*v**4 - 3*v wrt v.\nAnswer: 48*v + 342","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(p) = 23*p**2 - 5*p + 2. What is q(2)?\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 70413379.\nAnswer: 47, 167, 8971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*b - a + 12 + 7, 4*b = 4*a + 24. Sort 3, b, 7 in decreasing order.\nAnswer: 7, b, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -14, -43, -114, -245, -454, -759, -1178?\nAnswer: -1729","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 29\/242 and 6 - 0 - (-15582)\/(-2772)?\nAnswer: 726","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-21)\/(-14)*(-4)\/3. Calculate the remainder when 2\/p*(-32 - -4) is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -521240, -1043142, -1565042, -2086940, -2608836, -3130730?\nAnswer: -3652622","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-126)\/(-168)*-6*(-2)\/3. Solve 4*h = k*h - 3 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -79*d + 235*d + 1293 = -735 for d.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 899086 to the nearest integer?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-70)\/(-6) - 3\/(-9). Suppose 5*b - b = p. Let h be (3\/b)\/(-1)*-1. Solve m + 3*r - 6 - h = 0, 4*r + 4 = -4*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -22472, 0, 2\/13.\nAnswer: -22472, 0, 2\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let d(q) be the third derivative of 3*q**4\/8 - q**3\/3 - 2*q**2. Calculate the least common multiple of 4\/2 + (21 - 1) and d(2).\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {a: 4, y: 1, j: 6, o: 6}. What is prob of sequence yj?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*h + 5*h - 3*w - 13 = 0, -2*w - 2 = 0. Let u(x) = 10*x**3 - 15*x**3 - 27*x**3 - x**2 + 4 - h*x. Is u(-3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 294*s - 1 - 98*s + 2*s**2 - 80*s - 102*s to u*s + p*s**2 + z and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1087.31*33.\nAnswer: -35881.23","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is (3 - (1 - 0))\/((-6)\/(-159)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 202756260 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 15956409 and 52896.\nAnswer: 1653","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -3670777*p*y**2 + p*y + 2*p + 207*y - 8374 wrt y?\nAnswer: -7341554*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 47609.\nAnswer: 47609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {v: 3, a: 1, y: 2, p: 3, i: 1, h: 1}. Give prob of picking 1 a, 2 y, and 1 i.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 11 a factor of 1396?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*sqrt(5040))\/sqrt(7) - (sqrt(500) - (-3 + sqrt(500) + -3)).\nAnswer: -6 + 24*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1 or 136\/2299?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -20*s + 91 = 111. What is the closest to s in -56, -4, 4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -848141, -848160, -848179, -848198, -848217, -848236?\nAnswer: -848255","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 430 is divided by 34.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let h(n) = -n**3 - 14*n**2 - 15*n - 15. Give h(-13).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -24 + 53. Suppose -2*o + n = 5*z - 0*o, 5*z - 32 = -o. Let b(q) = q**3 + 17*q**2 - 5*q - 24. Calculate the remainder when b(-17) is divided by z.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 7806, -2\/5, -4?\nAnswer: 7806","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 9125 from -0.4.\nAnswer: -9125.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -171*j**3 - 154*j**3 + 495*j**3 - 146*j**3 + 14*j.\nAnswer: 24*j**3 + 14*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Sum -1 and 13501.\nAnswer: 13500","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 2328213933 to the power of 1\/5, to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.507607 to 2 decimal places.\nAnswer: 0.51","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let q(l) = -7*l**2 + 7*l. Let y = -47 - -51. Suppose 2*b = -4*d - b - 56, -67 = 3*d - y*b. Let i(g) = 20*g**2 - 20*g. Determine d*q(k) - 6*i(k).\nAnswer: -k**2 + k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 12\/25 of a litre?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v(f) = -520*f - 10. Let k be v(-4). Calculate the common denominator of (-7)\/(-12)*k\/189 and -23\/18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1627864 divided by 14?\nAnswer: -116276","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*p - 79*p + 324 = 0. Calculate the least common multiple of p and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 686808 by 228936.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -149.2 - -153.2. What is the closest to 3\/29 in 0.3, 0.4, -0.2, d?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 174\/58*-4*2\/6. Let k(l) = 3*l**2 - 2*l - 1. Is k(b) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine c so that -4*c**2 + 232*c + 236 = 0.\nAnswer: -1, 59","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 6462231?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"}
{"text":"Question: Suppose q + 0*z + 23 = -5*z, 2*z = 5*q - 20. Solve 0 = 3*p - 2*j - 2 - q, 3*p + 2*j = 8 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 93 = -2*h + h. Is 1*h\/(1*-3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*w = 2*c + 12, 0 = 4*c - 2 + 10. Find the second derivative of n - 9*n + 4*n**w + 3*n**2 - n wrt n.\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*n - 1228 = -2*q, -5*q + 3*n = -3877 + 821. Round q to the nearest 100.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -47206*s + 307129 wrt s.\nAnswer: -47206","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 34885 is divided by 33663?\nAnswer: 1222","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 36225 at least as big as 36363?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of (-21)\/((-8)\/((-512)\/(-48))) and 432?\nAnswer: 3024","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(n) = -n + 18632. Let i(y) = 2*y**2. Determine q(i(s)).\nAnswer: -2*s**2 + 18632","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:54 AM and 5:36 AM?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 15, 84, 207, 384, 615, 900, 1239?\n\"Answer: 27*i**2 - 12*i","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -z**4 + 993410*z**3 - 52*z**2 - 640*z + 6 wrt z?\nAnswer: -24*z + 5960460","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -19 - -84. Let c = l + -15. List the prime factors of c.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((y\/(y\/y**(-1\/12))*y)\/y)\/(y**(-7\/2)\/y))\/(y**(3\/2))**(-33))**(-3) assuming y is positive.\nAnswer: y**(-647\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Find o such that -2*o**4\/9 + 1220*o**3\/9 - 12058*o**2\/9 + 34840*o\/9 - 8000\/3 = 0.\nAnswer: 1, 4, 5, 600","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -u = -5*n + 80, -n + u + 0*u = -16. Let h = n + -9. List the prime factors of h.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 71400 and 23280?\nAnswer: 13851600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many meters are there in eighteen fifths of a kilometer?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g(z) = 231643*z. Let m(t) = 2*t**2. What is g(m(w))?\nAnswer: 463286*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -18 - (8 + -20 - (-30 - -28))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 0 at least as big as 6\/5809?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let q be ((-24)\/15)\/(1\/(-5)). Suppose 6*v = 3*v - t + 10, -5*t + q = v. Let j = v + 24. What is the tens digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 16*-2*(-6)\/8. What is the highest common factor of d and 18?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 548.229s in milliseconds?\nAnswer: 548229","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 u and 1 f when two letters picked without replacement from {f: 1, r: 4, u: 4, l: 1, q: 5}?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*m**2\/13 + 2176*m\/13 + 17280\/13.\nAnswer: 2*(m + 8)*(m + 1080)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-3 - 2 + 6)*(-4 + 0 + 5)*(-3*g - 3*g + 5*g) to y + p*g and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 2*b + 1)*(-b**2 + 0*b + 0*b) + (2*b**3 + 0*b**3 + 0*b**3)*(6 - 1 + 6) - 7*b**3 + b**3 - 4*b**3.\nAnswer: 10*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let q be ((14 - 8) + 7)*(129 - 12). Calculate the greatest common divisor of 1053 and q.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence afll when four letters picked without replacement from {f: 10, p: 1, l: 3, a: 4}?\nAnswer: 1\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is -431 times 0.13?\nAnswer: -56.03","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-4)\/6*(2 + 13). Let q be 3\/1*(0 - n). Suppose -2*v = -8, 0 = 2*w + 6*v - 3*v - q. Is 9 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add -0.2 and -0.0411926.\nAnswer: -0.2411926","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 0.2  (b) -24.2  (c) 2  (d) -5\/3  (e) 105\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ozaiiawwaoiooa. What is prob of picking 2 o and 1 a?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Convert 15 (base 16) to base 10.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 5, -23, -109, -283, -575, -1015?\nAnswer: -1633","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -m + 14 = -0*m - s, 5*m + s - 70 = 0. Suppose -7*z + m*z - 35 = 0. Solve -z*n = -35 + 10 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 136\/204*(2462\/4 + -2). Differentiate 7 - 55 + 102*j - k*j wrt j.\nAnswer: -307","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be -3*(2 + (-20)\/6). Let z(n) = 9*n**3 - 54*n**2 + 7*n - 19. Let t(f) = -13*f**3 + 78*f**2 - 11*f + 28. Let o(i) = 7*t(i) + 10*z(i). Calculate o(g).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-15)\/(585\/13))\/((5\/(-750))\/(57\/(-95)))\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*r**3 - r**3 + r**3)*(-269*r - 48*r - 169 + 321*r).\nAnswer: 8*r**4 - 338*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 - 0 - (-62 - -64)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from vvlllvhvlt. Give prob of picking 1 h and 1 t.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let z(u) = 3*u**2 + 5*u + 5. Let s be z(-6). Let w = s - 578\/7. Which is the biggest value?  (a) -1\/3  (b) w  (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {t: 11, d: 1}. Give prob of picking 1 d and 3 t.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: -167178 divided by -187\nAnswer: 894","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let b(d) = d**3 - 8*d**2 + 6*d + 5. Suppose 4*j + 12 = 6*j. Suppose -6*y + 4*y - q = -12, j = -3*q. Determine b(y).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(c) = -c. Let d be v(7). Let y = d + 11. Calculate the highest common divisor of y and 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(g) = -g**3 - 6*g**2 - 5*g + 4. Let d be f(-5). Suppose 0 = -j - 1 + d. Suppose 2*b - 31 = -3. Solve 3*s + j*z - 8*z + b = 0, 3*z = -s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(u) = 2*u**3 - 21*u**2 - 221*u + 2309. What is the remainder when n(12) is divided by (-1)\/(-2)*(0 - -66)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(u) = -3*u + 133. What is the lowest common multiple of 28 and i(21)?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 13103 (base 12) to base 13.\nAnswer: bb32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -236 and -3671.55?\nAnswer: 866485.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -153*b + 4199 - 6740 = 4650 for b.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*z**2 - 33180*z - 6123700.\nAnswer: -5*(z + 190)*(z + 6446)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*n = -89 + 392. What is the units digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -j**2 - 7 - 15 + 22.\nAnswer: -j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let 242*i**3\/7 + 2332*i**2\/7 - 872*i\/7 + 80\/7 = 0. Calculate i.\nAnswer: -10, 2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 61854910699 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let u(y) = -14*y**3 - 14*y**2 + 5*y - 5. Let j(p) = 27*p**3 + 27*p**2 - 9*p + 9. Let m(s) = -5*j(s) - 9*u(s). What is the third derivative of m(h) wrt h?\nAnswer: -54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 28*c**3*r**2 + 81*c**3*r - 2*c*r + 3*r**2 wrt r?\nAnswer: 56*c**3 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -217\/2 or -54?\nAnswer: -217\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 9.580737 millilitres?\nAnswer: 0.009580737","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b(k) = 3*k - 22. Let m be b(10). What is the highest common divisor of m and 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 550140353 + 5?\nAnswer: 550140402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5*a - 48 + 157 - 109.\nAnswer: -5*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -33*a + 6706 = -9002. What is the units digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 166634421?\nAnswer: 3, 37, 433, 3467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*j + 4 = -o - 1, -3*j = -3*o - 3. What is the smallest common multiple of 8 and j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sum -2313 and -56855.\nAnswer: -59168","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.3, 0.0665161, -2\/15 in decreasing order.\nAnswer: 0.0665161, -2\/15, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand 27*y + 110 - 110 + y + 3 - 3 + (0 + 1 + 0)*(-y + y + 2*y) - y + 2*y + y + y - y + 2*y + 48 - 24 - 3*y - 28.\nAnswer: 31*y - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -223*w**2 - w + 18?\nAnswer: -446","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-11)\/(-308) + (-2)\/7. Which is the closest to -1?  (a) -4  (b) 5  (c) -5  (d) v\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 23.07 in 0.09, 1\/4, -55?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 592 minutes after 4:52 PM?\nAnswer: 2:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in three fifths of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: -76067 + -71938.931\nAnswer: -148005.931","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 1 and ((-204)\/(-36))\/(2\/6).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -72997, -73023, -73089, -73213, -73413, -73707, -74113, -74649?\nAnswer: -75333","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 17045718 at most 17045719?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 232 is divided by 11?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let q(z) = 4*z + 4*z - 2*z - 5*z. Is q(7) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -212 or -215?\nAnswer: -212","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5*l**3 - l**3 - 3*l**3)*(273 - 1366 - 293).\nAnswer: -1386*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let r(c) = 5*c - 10. Let a(x) = x**3 - 10*x**2 - 3*x + 10. What is the remainder when a(11) is divided by r(7)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 209 - -288583?\nAnswer: 288791","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((n**3)**(-16)*(n\/n**(-1))**(-29\/3))**(25\/6) assuming n is positive.\nAnswer: n**(-2525\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let z(m) = -m**2 + 2*m + 2. Let q be z(2). Let f be (-6)\/(-6)*1*12. Suppose g - 3*d = -f, 4*g = -2*d - d + 27. Solve q*c = -g*c + 25 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence mm when two letters picked without replacement from xqxmmxm?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 96 and 168.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2087 is divided by 36?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Put -1, -13477.8, 10 in ascending order.\nAnswer: -13477.8, -1, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*p - 10 - 2 = 0. Let x(s) = -2*s - 3 + 4 + p. Let b(m) = -11*m + 23. Let f be -1 + 1 - (5 + -39). What is f*x(u) - 6*b(u)?\nAnswer: -2*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 9 - (2 + (-2 - -1)). Suppose u = 4*f - g, 5*f - 4*u = 3*f - 10. Suppose 4*k - 17 - 7 = 0. Solve -3*j + f = -k for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -27125, -52006, -76887?\nAnswer: -101768","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 83889458*q**4 + q**3 + 99221246 wrt q?\nAnswer: 335557832*q**3 + 3*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1 in -1\/4, 4, 10, -11?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 116682, 233368, 350052, 466734, 583414, 700092, 816768?\n\"Answer: -r**2 + 116689*r - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 26*1 - (-7 + 5). Suppose o - 4*o = 2*q - 26, 0 = -4*o + 4*q + l. Calculate the smallest common multiple of 14 and o.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(t) = 35*t**2 - 4*t - 23. Let h(d) = -68*d**2 + 7*d + 40. Let y(f) = 4*h(f) + 7*u(f). What is y(-1)?\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 w and 1 p when two letters picked without replacement from {w: 1, o: 1, g: 1, p: 1, n: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -h + h + 0*h - 4*h + 5*h.\nAnswer: h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {l: 3, u: 5, m: 1, h: 1, n: 3}. Give prob of sequence lm.\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let c(k) = 32*k**3 + 9*k**2 - 2*k. Let q(i) = 64*i**3 + 20*i**2 - 5*i. Give 5*c(f) - 2*q(f).\nAnswer: 32*f**3 + 5*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 387246 and 4986.\nAnswer: 1662","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4*(sqrt(2) + sqrt(2) + sqrt(6)\/sqrt(3)*-3))**2.\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose q + 7*m - 2*m - 240 = 0, -4*q + 982 = -2*m. Suppose 0 = -6*y + 151 + q. Calculate the greatest common divisor of y and 176.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {k: 2, c: 10, s: 3}. What is prob of sequence kkc?\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let d(r) = 2*r**2 - r + 1. Let g(c) = -2*c**3 + 168*c**2 + 4*c - 3. Calculate -4*d(f) - g(f).\nAnswer: 2*f**3 - 176*f**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: -101023 (base 4) to base 13\nAnswer: -667","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {z: 2, y: 2, o: 9}. Give prob of picking 4 o.\nAnswer: 126\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let k(b) = -b**2. Let o(q) = -11*q - 3*q - 2*q - 2*q. Determine k(o(n)).\nAnswer: -324*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 7118 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let p(n) = 4600*n - 2334. Is p(35) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(s) = -s**2 - 11*s + 17. Let o(j) = j**2 + 101*j + 1728. Let t be o(-79). Give g(t).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 8.012038 centuries to years.\nAnswer: 801.2038","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ggnnctryy. Give prob of sequence ntrg.\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let h(u) = -6*u**2 - 150*u + 10470. Give h(31).\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -0.4, -142, -0.3, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is seven sixteenths of a century in months?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 - 4 - 1)*(2903*x + 9 - 2898*x + 17).\nAnswer: -25*x - 130","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let t(n) = -60691*n - 1. Let h be t(-4). Let j = -343763 + h. Round j to the nearest 10000.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 591197371 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let u(h) = -5*h - 2. Is 17 a factor of u(-14)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -31 - -30.5. Let v = 4 - 3. Which is the closest to 2?  (a) v  (b) 5\/2  (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose m - 3*m + 40 = 0. Let f be (-98)\/(-20) + (-40)\/(-400). Suppose 0 = -f*p - 5*q + 924 - 234, 5*q = 5. What is the remainder when p is divided by m?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-420)\/24)\/(-5)*4\/(-7).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 9\/18 + (-3)\/(-2). Suppose t*y - 219 - 433 = 0. Suppose -y = -5*b - 71. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 104 a factor of 1538?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-7)\/(-84)*8*72. Let d be (-1)\/(-2*2\/g) + 1. Solve d*h = 16*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 - 2 - 4)*(-2*g - 2 + 2)*(22*g - 49*g + 22*g).\nAnswer: -50*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let d(u) = -u**3 + 10*u**2 - 11*u + 20. Give d(9).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4395*h**3 - 8806*h**3 + 4402*h**3.\nAnswer: -9*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 140\/75 + 2\/(-15)*-1. Suppose -10 = -2*t, u*j - 3*j - 23 = -5*t. Solve 0 = -j*w - 2*w + 8 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1 + -9 + 5 - -2?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 624\/(-112) - (4 - (-4 - -3))*-1\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -3026*m**4 - m**3 - 21088*m**2?\nAnswer: -72624*m - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 586929\/14 - 1\/(-2). Suppose u - 31471 = -3*h - 3*u, -4*h + v = -4*u. Is 2\/(-5) + h\/25 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 9\/20 + -229\/420. Let t(n) = 5*n**2 + 104*n + 83. Let z be t(-20). Let f = 0.7 + 0.3. Sort f, -1\/3, z, c in increasing order.\nAnswer: -1\/3, c, f, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 19\/12328624 and 3\/46816.\nAnswer: 468487712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 4 + 1 - 1\/(-1). Let m be (-296)\/(-10) - (-18)\/45. Calculate the highest common factor of j and m.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 12 - 7. Suppose -4*b + 43 = -a*f, -f = f + 6. List the prime factors of b.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -3 (base 10) in base 16?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -12383 - -644?\nAnswer: -11739","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: (-10 - (8 - -5) - -15 - (-6 - 0)) + -56\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.1 in -2\/13, -5, -0.4, 9\/8, 5\/2?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -1460 + 1460.00002907. What is u rounded to 6 decimal places?\nAnswer: 0.000029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -115*s = -221 + 163 - 57 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: 0.1 * -14.6\nAnswer: -1.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let z(o) be the first derivative of -o**5\/120 - o**4\/24 - o**3 + 4. Let f(y) be the third derivative of z(y). Differentiate f(v) with respect to v.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify i\/i**5*i\/(i**(-6\/7)*i)*i**(-2)*i**(-1\/4) assuming i is positive.\nAnswer: i**(-151\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 6099 + 56b?\nAnswer: 6626","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -0.7 - 0.3. Let x = h - -3. Let a = -7 + x. What is the nearest to -0.1 in a, -4, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 d and 2 t when three letters picked without replacement from tdzttddpnzpndntttd?\nAnswer: 25\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*x - 2*j - 607 = 0, 1 = 3*j - 2*j. Is 7 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 51969.67ug in nanograms?\nAnswer: 51969670","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 11*1 + -2 + 1. Let q be 10\/2*4\/s. Suppose a + 4*l = -0*a + 62, -l + 103 = q*a. Calculate the remainder when a is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -102*g = -15 + 219 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.063 - 30?\nAnswer: -29.937","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 791, 793, 795, 797, 799, 801?\n\"Answer: 2*z + 789","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 618591 is divided by 205191?\nAnswer: 3018","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1111365549?\nAnswer: 3, 7, 5880241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 2329285 and 11446772?\nAnswer: 400637020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 104\/5 - 20. Factor 12\/5 + 8\/5*z - x*z**2.\nAnswer: -4*(z - 3)*(z + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -6 - -13. Suppose v = 2*v + 3*o - g, -3*v + o = 9. Let y(m) = 2*m**2 - 11*m - 89. Let x(w) = w**2 - 7*w - 51. Let k(l) = -7*x(l) + 4*y(l). Give k(v).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(r) = 7*r**3 + 517*r**2 - 96*r - 23. Determine k(-74).\nAnswer: 1605","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.01?  (a) -2  (b) 2\/3  (c) 4\/4823\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 6119 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -2*b**5*t + 18476*b**5 - b**2*t + 2*b**2 + 2311*b*t - b wrt b.\nAnswer: -120*b**2*t + 1108560*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: 11 + (-1 - -28) + (-209 - -198)\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*i - 124 = -2*q, 2*q = -i + 77 + 50. What is the remainder when q is divided by 29?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose h - 22*b - 144 = -25*b, -303 = -2*h - 3*b. List the prime factors of 212\/h*(-5106)\/(-8).\nAnswer: 23, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3*a**2 - 7*a**2 + a**2 + 0*a**2.\nAnswer: -9*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let f(w) = 8*w**3 + 6*w**2 - 6*w + 1. Let s(v) = v**3 + 6 + v**2 - v - 6. Suppose 5*k + 20 = -5*q, 2*q + 3*k - 8*k - 13 = 0. Give q*f(x) + 6*s(x).\nAnswer: -2*x**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Sort -306, -23, -2, -5.\nAnswer: -306, -23, -5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 180041507 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let t(f) = -f**3 + 3 + 10*f**2 - 2 + 0. Let s(k) = k**3 + 15*k**2 + 44*k + 9. Let u be s(-11). Does 11 divide t(u)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -1 - -1. Let p(u) = -u**3 + 4*u**2 - 3*u + 1. Let h be p(2). Is h*(r - -2)\/2 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(v) = -2*v**2 + 4*v**2 + 4*v**2. Let i(f) = -f. Give i(z(g)).\nAnswer: -6*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -45*x*z + 74922*x - 1858*z + 2170 wrt x?\nAnswer: -45*z + 74922","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"}
{"text":"Question: What is three fifths of a meter in centimeters?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from lttllnxltlxlxlllltx. What is prob of sequence tll?\nAnswer: 20\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let h(w) = 3*w**2 - 11. Calculate the remainder when h(-5) is divided by 23.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 16*j**4 + 236*j**3 + 708*j**2 - 1216*j + 256 = 0.\nAnswer: -8, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 119\/14562 and 47\/1440.\nAnswer: 1164960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 2\/97579 at most as big as -299?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let s(y) = -4*y**3 - 2*y**2 + 2*y + 2. Let v be 5 + 1 + 9\/(-3). Let b(z) = -2*z - 13*z**2 + 24*z**2 - 8*z**2 + 5*z**v - 3. Determine -2*b(g) - 3*s(g).\nAnswer: 2*g**3 - 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 286 = 3*l - 2*t, -15*t + 10*t = -5. Suppose 0 = 22*z + 8 - l. Solve -2 = -z*f - j + 3, 0 = -4*f + j - 5 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 89\/120 and -107\/678?\nAnswer: 13560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -448*n**4 + 7237*n**3 - 2*n + 45648605 wrt n?\nAnswer: -1792*n**3 + 21711*n**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose j + j - 6 = 0. Suppose 0 = 6*i - j*i - 6. Solve v - i*v - 1 = 0 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -7 - -4 - (0 + -3)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -0.2  (b) -1  (c) -0.73  (d) 2\/11  (e) -5\/2  (f) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 a and 1 p when two letters picked without replacement from {a: 2, p: 2, q: 8, y: 3}.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 6414?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand -168 + 2*t**2 + 168 - 3*t**3 + (0*t + 0*t - 5*t)*(2*t**2 - 1 + 1).\nAnswer: -13*t**3 + 2*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5 - 3 - 5)*(a + 0*a - 2*a)*(-1 - 2*a**2 + 1).\nAnswer: -6*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: 0*709.89\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-76)\/532)\/(38\/646).\nAnswer: -17\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s(o) = 1. Let z = -142 - -140. Let y(f) = -f**3 + f**2 + 5. Calculate z*y(p) + 10*s(p).\nAnswer: 2*p**3 - 2*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (30\/25)\/(((-324)\/(-189))\/((-45)\/42))?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -17283452*i**2*z - 28236677*z wrt i.\nAnswer: -34566904*i*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -267945516*n + 133972776*n + 133972766*n.\nAnswer: 26*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3864 divided by 3.\nAnswer: -1288","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -6 - 183\/(-18) - (-22)\/(-154)*14?\nAnswer: 13\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(g) = 9*g**2 - 6*g + 8. What are the prime factors of v(4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(s) = 15*s - 3*s + 5*s. What are the prime factors of c(1)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 10 divide 15769900?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in z**3 - z**3 + 2*z**3 + 0*z**3 + 3*z**3.\nAnswer: 5*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0003144906494 to six dps.\nAnswer: 0.000314","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 1691328 divided by 35236?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:12 AM and 4:32 PM?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-30 + 0 - -7 - -13 - -12) + (1 - 52).\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -h + 12 = -5*h. Let l be -8*(-1 - h\/12). Let g(r) = -r + 1. Let f be g(l). Sort 2, f, 3 in descending order.\nAnswer: 3, 2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*t + 90 = -0*t. Let a = 15 - t. Let h(y) = -7*y**2 - 9*y + 6. Let q(g) = -7*g**2 - 8*g + 5. Let d(s) = a*h(s) + 4*q(s). Let d(r) = 0. Calculate r.\nAnswer: -1, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:21 PM and 7:45 PM?\nAnswer: 324","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 0 + -34041300?\nAnswer: -34041300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 20 = 3*w - 16. Let b = w + -5. Suppose -2*q + 1107 = b*q. Is 41 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 7723488 or 7723490?\nAnswer: 7723488","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 421179 is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from yyyyyy. What is prob of picking 2 y?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 7675*f**5 + 2*f**2 - 71*f - 13 wrt f.\nAnswer: 460500*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0 in 3, -29.3, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1434 (base 5) to base 2.\nAnswer: 11110100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 2\/3, -309157, 78?\nAnswer: -309157","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 364760\/120 - (-1)\/((-6)\/(-8)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -15162910 rounded to the nearest 1000000?\nAnswer: -15000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 2003454 (base 8) in base 5?\nAnswer: 113313444","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, -1, 3, -27, -103 in decreasing order.\nAnswer: 3, 0, -1, -27, -103","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -6 - w - 3*w + w + (-204*w + 92*w - 215*w)*(-1 + 3 - 1) to the form r*w + t and give t.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 149\/240 and 23\/176112.\nAnswer: 880560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-9)\/15)\/1*135\/(-27).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 19602 is divided by 478?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -n = 15 - 31. Solve -4*l + n = -5*g + 3*g, 0 = -5*g - 4*l + 2 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1\/3?  (a) 0  (b) -211  (c) 0.5  (d) 1\/11  (e) 0.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {q: 1, j: 2, c: 1, h: 2, p: 1, s: 2}. What is prob of picking 3 q and 1 p?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 0.3 + -0.2. Let q = -1.2 + 2.3. Let r = q - 0.1. What is the nearest to r in -4, 2, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -27603.6149815 - -24.3211815. Let f = y + 27577. Let q = f + 2.3. Round q to three decimal places.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*u - 4*v = v + 2, 3*u - 11 = -v. Suppose -u*d + w = -134, 2*w + 19 = 3*d - 117. What is the units digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 7\/844 - 57835\/2532. Find the common denominator of b and -37\/8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 6312229?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: 100*3\/84 + (-4 - 1)\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -90*m - 6526 = 9*m - 9*m - 2206 for m.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 15*-3*6\/(-45). Suppose -3*h = -l, -3*h = -m - h. Let d(w) = w**2 + 6*w + 1. Let k(o) = 3*o + o - o - 4*o. Determine m*k(t) + d(t).\nAnswer: t**2 + 2*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4\/3, -6, -8, -3\/7, 2 in increasing order.\nAnswer: -8, -6, -3\/7, 4\/3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*w + 4*l - 4 = 0, -3*w - 2*l + 4 = -0*l. Suppose -z = 3*z - w. Let d(v) = 9*v**2 + 1. Is d(z) 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 k and 1 w when two letters picked without replacement from uluuwuelleuwwenluk?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -60109*o**6 + 21*o**3 + 13695966*o**2.\nAnswer: -7213080*o**3 + 126","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let w be ((-4)\/(-8)*25)\/(2\/8). What is the derivative of 16 + w*x**2 - 21 - 2*x**2 + 15 wrt x?\nAnswer: 96*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -552 + 652?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -929 - -635?\nAnswer: -2b4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 4879 and -0.5.\nAnswer: -2439.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 37116 = 4*v + 2*a - a, 12*a - 27882 = -3*v. List the prime factors of v.\nAnswer: 2, 4639","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(q) = q**3 - 2*q**2 - q - 4. Calculate the remainder when t(4) is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: 52\/78*(-9)\/1*-1\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 17 = 5*n + 2. Let j(g) = 0*g - 9 + 15*g - n*g. Let t be j(6). What is the greatest common factor of t and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1322501 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 4359 - -1073. What is the highest common divisor of h and 56?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 4 w when four letters picked without replacement from {w: 5, l: 6, s: 2}?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 1264672, 5058700, 11382080, 20234812, 31616896, 45528332?\n\"Answer: 1264676*a**2 - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7232 = 47*j - 49*j. Let u(n) = 1807*n - j*n + 1807*n. Let z(f) = -12*f - 3 + 3. What is u(z(p))?\nAnswer: 24*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.2 + -50418341219.\nAnswer: -50418341218.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 59114 and 6.\nAnswer: 177342","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 15.5 - 11.5. Let i = u + -3.999973. What is i rounded to five decimal places?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -934351 to the nearest one hundred thousand.\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*p - a + 26 = 0, 0*p - 2*p + 3*a = 22. Let h(v) = 2*v - 2. Let i(w) = -7*w + 6. What is p*h(c) - 3*i(c)?\nAnswer: 5*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 71616?\nAnswer: 2, 3, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let q(u) = u**2 + 10*u + 15. Let g be q(-13). Calculate the greatest common divisor of g and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 26 + -73. Let h = -43 - n. Let d be (2\/(-3))\/(4\/6). Which is the closest to -3\/5?  (a) d  (b) h  (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 20565 to the nearest integer?\nAnswer: 143","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -6*(sqrt(539) + -1*(-2 + sqrt(539)) + 4).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -1099861*c - 56487.\nAnswer: -1099861","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 24998492?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.5099978ml to litres.\nAnswer: 0.0005099978","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 93 - 11. Suppose -h - 78 = -t. Suppose h = -2*r + 8. Solve r*g + 1 - 5 = 0 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4 + sqrt(88)\/sqrt(200)*1 + -4*((sqrt(11) - (sqrt(11) + sqrt(44)\/sqrt(4)))*4 + 3).\nAnswer: -16 + 81*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -76.904043469 - -76.904. What is g rounded to 7 dps?\nAnswer: -0.0000435","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 93  (b) -3  (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Put -240, -3, -0.3 in decreasing order.\nAnswer: -0.3, -3, -240","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000227245 rounded to five dps?\nAnswer: 0.00023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -104?  (a) 0.5  (b) 0.04  (c) -0.4  (d) 13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: 1 (base 11) to base 9\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ngn when three letters picked without replacement from gggngnggggngnnnn.\nAnswer: 9\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of ((-1461298)\/332)\/(2\/(-4))?\nAnswer: 8803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: 16692\/910 - 18 - (-1)\/(-5)\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 11715 and 5683905.\nAnswer: 1065","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ooko when four letters picked without replacement from {o: 1, z: 1, k: 4, x: 1, u: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -l + 3*q + 10 + 41 = 0, -5*l = 2*q - 170. What is the highest common factor of l and 15426?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 338359 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 1, -4\/3, -5.9, -2\/9, -6, 1\/5?\nAnswer: -5.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-4)\/3*(-6)\/(-68). Which is the smallest value?  (a) 1\/3  (b) x  (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 2011390, 4022906, 6034422, 8045938?\nAnswer: 10057454","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b(u) = -2*u - u - 3*u + 3. Let h = -686 + 691. Let a(d) = 3*d - 2. Give h*a(c) + 3*b(c).\nAnswer: -3*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 2293008?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*r - 0*r + 8. Suppose -1 - r = -h. Let s = 2 + h. What is the units digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -6*p + 40*p**2 - 18*p**2 + 6*p - 20*p**2.\nAnswer: 2*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.1 in 0.207, 0.4, -205?\nAnswer: 0.207","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -0.2  (b) -8  (c) -3  (d) 0.75  (e) -2  (f) -83\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 226c - 0?\nAnswer: 226c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 289760, 289767, 289788, 289829, 289896, 289995, 290132, 290313?\nAnswer: 290544","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is (4\/(-8))\/((-15)\/10)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 7 + -4. Suppose -3*d - d + 4 = -p, 5*p - 76 = -4*d. Solve -4*t - p = 2*i, 0*i + u*i + 10 = -4*t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3687 divided by 4.\nAnswer: -3687\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 983063 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -5\/5973 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 34153, 33989, 33825?\n\"Answer: -164*f + 34317","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -d + z = -31, 3*d - d - 67 = -3*z. What are the prime factors of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -3853*i**2 + 1954*i**2 + 3988 + 1898*i**2 to the form t*i**2 + r + v*i and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 186, 485, 910, 1455, 2114, 2881, 3750?\nAnswer: 4715","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -218.2 + 242. Let s = v + -24. Let t = 0.03 - 0.1. Which is the closest to 2?  (a) t  (b) -1\/3  (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 23\/9 and -103\/6.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let r(z) = -z**3 + 31*z**2 + 30*z - 16. Determine r(32).\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 9?  (a) 0.3  (b) -5155  (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: 0 (base 4) to base 8\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of (-14)\/(-5)*(-60)\/54 and 2*-1 + (-405)\/10.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(t) be the first derivative of 2*t**5\/5 + 19*t**4\/4 - 32*t**3 + 2271*t**2\/2 + 6065. What is the second derivative of n(d) wrt d?\nAnswer: 24*d**2 + 114*d - 192","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1304 (base 5) to base 14.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -220212 (base 3) in base 6?\nAnswer: -3035","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k(g) = 4*g - 11. Let z(y) = y + 1. Calculate k(b) - 3*z(b).\nAnswer: b - 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3975 + 2553 = 51*g. Calculate the greatest common factor of g and 24.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: -756 divided by -36\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h**9*h\/(h*h**(-26)))\/(h*h*(h*h**(-12\/11))\/h)**(-36) assuming h is positive.\nAnswer: h**(745\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 1692558*s**3 - 4036*s**2 wrt s?\nAnswer: 10155348","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.03 and 5321?\nAnswer: -159.63","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is -0.191 smaller than 66?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: -3 + -74.08296991\nAnswer: -77.08296991","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -94814.296 rounded to the nearest ten thousand?\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-5)\/10)\/((-7)\/(-5698)*11)?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -0.3944 - -0.4944. Which is the second biggest value?  (a) k  (b) 0  (c) 1924  (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in five eighths of a millennium?\nAnswer: 7500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 68443 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Express -8*f**4 - 3*f**2 + 10*f**4 - 54 - 14 as q*f + w*f**3 + n*f**2 + l*f**4 + b and give n.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let d(s) = -12*s**3 + 33*s**2 - 7*s - 9. Let o be d(-3). Let a = -566 + o. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(425) + sqrt(425) + 0 + sqrt(425) + -5)**2 - (sqrt(425) + (sqrt(425) - (sqrt(425)*1*-5 - sqrt(425)))**2 + sqrt(425)) - (-4*sqrt(425)*-5 + 5)**2.\nAnswer: -187000 - 1160*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0049574978 rounded to seven dps?\nAnswer: 0.0049575","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 174293461 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 2 + 0\/(-2) - 1. Let y be -2*v + 1 - -75. Let z = -23 + y. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find j, given that -5*j**3 - 1400*j**2 + 5*j + 1400 = 0.\nAnswer: -280, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*s = 3*k - 5*k - 18, 3*s - 4*k - 26 = 0. Let z be 0 + 5\/s + -1. Let q be (4\/8)\/(1\/8). What is the fourth biggest value in q, z, 0.3, 0?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 1\/880 and 101\/3787840?\nAnswer: 41666240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -8 + 1 - (5 - (-10 - (-36 + 6)))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 170943139 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 5714825 to the power of 1\/3, to the nearest integer?\nAnswer: 179","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 36\/6*2\/8*2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 145\/6 and 65\/14?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 26539 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 26*t + 9 = 29*t. Solve -4*r = u - t*u + 10, 2*r = -6 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(l) = 5*l + 1. Let i(r) = -3 + 3*r + 6*r + 4. What is -5*b(q) + 3*i(q)?\nAnswer: 2*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 5\/18 in -149, 48\/5, -3\/7, 0.5, -4\/9?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1 divided by -31.\nAnswer: 1\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let j(a) be the second derivative of -2*a + 0*a**3 + 7\/12*a**4 + 3\/2*a**2 + 2. Let h(r) = -22*r**2 - 10. Determine -3*h(m) - 10*j(m).\nAnswer: -4*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let t(f) = 6*f + 3. Let j(y) = 14*y. Determine t(j(g)).\nAnswer: 84*g + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, -1, 1157, -3, 16, -4 in descending order.\nAnswer: 1157, 16, -1, -2, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -14298 or -14291?\nAnswer: -14298","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 323946 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 327 and 436?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*g = -3, 2 = 5*s - 5*g + 32 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let h(s) = s**3 + 3*s**2 - 2*s + 8. Let j be h(-4). Suppose j = -t + 5 - 3. Let n(f) = 255*f - 1. Is n(t) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(h) = h**2 + h - 1. Suppose 0 = 3*t - t - 4. Let x be (-3)\/((-21)\/(-6) - t). Let f be 2\/(x\/3 - 0). What is l(f)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, 50, 6.\nAnswer: -4, 6, 50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*p + 6*p = 4*r - 21, 2*r - 8 = -2*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many kilograms are there in nine tenths of a tonne?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.4 and -3596245?\nAnswer: 1438498","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let a(k) = 6*k**2 + 31356. Let g(q) = -q**2. Calculate a(g(x)).\nAnswer: 6*x**4 + 31356","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 195251133?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from nnncnckgg. What is prob of picking 2 c?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*d - 342 - 23 = 0. Let h = 95 - d. Calculate the remainder when 59 is divided by h.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be ((-556)\/(-31) - (-208)\/3224)*(1 - -2). What is the greatest common factor of 22626 and p?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/8 of a decade in months?\nAnswer: 45","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: -29159b (base 13) to base 11\nAnswer: -625471","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Work out -1.82826 * 138.\nAnswer: -252.29988","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Express (-10 - 1 + 4)*((-5 + 4 + 0)*(y + 3 - 3) + 65*y - 18*y - 26*y) in the form c + p*y and give p.\nAnswer: -140","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -0.3 - -0.6. Let y = 2.43 + -6.8. Let f = -3.97 - y. Which is the closest to -0.1?  (a) -17  (b) k  (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 13 - -2111002122?\nAnswer: 2111002201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -358*g - 67 + 23 = -357*g for g.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3*(1*sqrt(171) + sqrt(171))*-4 + 5 - (-3*(0 + sqrt(171)) + -1)*1)**2 + -2.\nAnswer: -756*sqrt(19) + 75445","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 28.4 - 28. Which is the nearest to 1?  (a) 2  (b) -0.1  (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 1446 + -15908\/11. What is the closest to -1\/5 in -0.2, -2\/7, w, 5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 453 minutes before 10:51 PM?\nAnswer: 3:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.0169228ml to litres.\nAnswer: 0.0000169228","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 5225347473?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Put 4, -2\/5, 3, -0.073, 0 in increasing order.\nAnswer: -2\/5, -0.073, 0, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 591 is divided by ((-18)\/15)\/(7\/105*-2).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1528603738?\nAnswer: 2, 31, 41, 601339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3796748 is divided by 652.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 231472?\nAnswer: 2, 17, 23, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 3511*2 + (-160)\/40 + -8?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-78 + 81 - (28 + 0)) + 97?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l(v) = v**2 - 6775*v + 141824. What is l(21)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 8*k + 547395091 - 547395091.\nAnswer: 8*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -20\/17 in 1\/4, -1, 2\/3, 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5 + (1*sqrt(3))**2 - ((2*sqrt(3))**2 - sqrt(3))*-5.\nAnswer: -5*sqrt(3) + 68","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -89\/78 and 61\/52.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 0.6  (b) 1.3  (c) -0.1  (d) 0.9  (e) 271  (f) 2\/3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 10802, 10752, 10710, 10676, 10650, 10632?\n\"Answer: 4*h**2 - 62*h + 10860","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 11 a factor of 2*-1 + 0 + 69 + 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*v + 4*v - 180 = 0. Let p = -36 - v. Factor 2*s**3 + 1\/3*s**5 - 4\/3*s**2 + p - 4\/3*s**4 + 1\/3*s.\nAnswer: s*(s - 1)**4\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 2189 and 67063.\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 2\/10575 + -70522\/116325. Let c = m - -32\/33. Which is smaller: -1 or c?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -g - 7 = -4*g + 2*o, 4*g + 5*o = -6 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*d = -2*j + 8, -3 + 23 = 5*j. Suppose 4*b - 14*b - 260 = d. Let t = -31 - b. Let r(v) = -v**2 - 6*v + 2. What is r(t)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 38318492 divided by -5.\nAnswer: -38318492\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*a + 29 = -5*c, -3*a - 5*c + 29 = -19. Solve 17*m = a + 23 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 53 is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 97 minutes after 3:03 AM?\nAnswer: 4:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: e3899 (base 16) to base 3\nAnswer: 1202100110021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put 7, 5, -4, 8 in increasing order.\nAnswer: -4, 5, 7, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -27 - -23 - (5 + -3 + -2 + -13).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 25992 is divided by 136?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -20 - -29. Does 3 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 9 - 7. Let d be (-42)\/35*20\/(-2). Let o be (3 - -2)\/(2\/d). Solve -o = 5*a + c - 0*c, -u*a - c - 15 = 0 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -2, 0.5, -5, 1656, 5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 12, 9, 5, 19, 0.4?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 d and 1 f when two letters picked without replacement from qbqfdb?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 237023 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 78011522*y**2 + 1996776*y wrt y.\nAnswer: 156023044","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {k: 3, y: 17}. What is prob of sequence ky?\nAnswer: 51\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 151*t - 280 = 173 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Does 30 divide 255?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(7920)*3)\/(sqrt(891)*2).\nAnswer: 2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 13127, 26256, 39385, 52514?\n\"Answer: 13129*v - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*k = -2*z - 58, 42*z + 3*k + 94 = 76 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Does 12 divide 49032?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Total of 2749.64464 and -1.5.\nAnswer: 2748.14464","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*i**2\/5 + 441*i\/5.\nAnswer: -3*i*(i - 147)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -s + 2*h = 2*s - 7, h + 1 = 4*s. Suppose 5*c = 5 - 0. Let n be (-3)\/2*c\/(-9). Which is smaller: s or n?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -467c6c (base 13) in base 15?\nAnswer: -231025","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -3 (base 9) in base 10?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-k - 54*k**3 + k + 61*k**3)*(52*k - 357 + 357) to the form b*k**3 + t*k**2 + q + g*k**4 + m*k and give g.\nAnswer: 364","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -17*a + 3 + 8 - 5*a**3 - 11 wrt a?\nAnswer: -30*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 388823 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -311 - -387. Suppose -11*t + g = 65. Sort 2, t, 6, -5 in descending order.\nAnswer: 6, 2, t, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: 37089 divided by -39\nAnswer: -951","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*k - p = 2*p - 12, 0 = k - 5*p - 4. Suppose 13 = k*n - 4*a + a, 3*a + 9 = 0. Calculate the remainder when 2 is divided by n.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 405 minutes after 8:39 AM?\nAnswer: 3:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 1.839522 + -1.84. 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: Express (115 - 331 - 141)*(-1 - 2*n**3 + 1) + (n - 4*n + 5*n)*(n - 2*n**2 - n) - 3*n**3 + 2*n**3 - n**3 in the form w + p*n + a*n**3 + b*n**2 and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let f(v) = 30 + v**2 + 20*v - 6 - 1. Let c be f(-19). Suppose -24 = -c*w - 0*w. Calculate the remainder when 14 is divided by w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 311178*-125.\nAnswer: -38897250","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 7408603?\nAnswer: 7408603","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 3488586 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from znfpinznpdnznin. Give prob of picking 1 z, 1 n, 1 d, and 1 f.\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (6 + 5 + -53 - (108 - 129)) + 80.\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -2  (b) -0.1  (c) 19  (d) -25.635\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 44, 61, 86, 119?\nAnswer: 160","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 1.89 - 1.59. Let r = 3 - 5. Which is the closest to 0?  (a) -5  (b) r  (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(y) = 20*y**2. Let a be x(-1). Suppose 0*p - 2*p = -a. Solve 1 - p = -3*f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -166*x + 3458 = -413*x for x.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: 110112212 (base 3) to base 6\nAnswer: 110205","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -20*w + 2908 = 388. Is w a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-297*(-111)\/18315)\/((1\/10)\/(75\/90))?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -8605, -8532, -8329, -7930, -7269?\nAnswer: -6280","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 2468, 2486, 2522, 2582, 2672?\n\"Answer: t**3 + 3*t**2 + 2*t + 2462","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose r + 245 = 3*l - 431, 2*l + 2*r - 440 = 0. Let n = -144 + l. Suppose -5*y + n = -5. List the prime factors of y.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 8 divide 713032?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let g(i) = -i**2 - 2*i - 3. Let h(l) = -l**2 - 3*l - 3. Let m(f) = -5*g(f) + 6*h(f). Let v be m(-5). Solve -v*c + 10*c + 6 = 0 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(x) be the third derivative of -x**4\/8 - 2*x**2 - 6. Let j(f) = 13*f - 12*f - 12*f - 15*f. Calculate u(j(m)).\nAnswer: 78*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*t - u + 7 = 0, 4*u = 5*t + 6*u + 30 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 83228.\nAnswer: 2, 20807","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -1142\/9 - -127. Which is the fourth biggest value?  (a) -1\/2  (b) -4\/9  (c) h  (d) 0.09\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y*y**(6\/11))**(1\/30)\/(y*y**(-2\/7))**(3\/14) assuming y is positive.\nAnswer: y**(-821\/8085)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let z(u) = -76*u**3 - 2 + 2*u + u**2 + 77*u**3 + 4. Let r be z(-2). Is 3\/r - 2078\/(-4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*a = -5*r - 1395 - 1563, -5*r = a - 1026. What is the hundreds digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(c) = c**2 + 139*c - 1707. Give g(11).\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*p + 2*c = -72 + 47, 3*c = -5*p. Solve 0 = y + p*y + 4 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 3088 - -1 - (-40 + 48)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 e and 2 u when three letters picked without replacement from {u: 3, r: 1, a: 5, j: 6, e: 5}.\nAnswer: 1\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -347027, -347237, -347435, -347615, -347771?\n\"Answer: o**3 - 217*o - 346811","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 1126459667 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 292 minutes before 10:13 PM?\nAnswer: 5:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {m: 3, h: 2}. What is prob of sequence mmh?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence uvu when three letters picked without replacement from {u: 3, v: 2}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -180.2 + 3.2. Let t = 177.081 + x. Let i = -0.08198 + t. Round i to four dps.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -10101 + -11001011100101111101?\nAnswer: -11001011100110010010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -223 - 30*s**2 - 84*s**2 - 86*s**2 + 203*s**2.\nAnswer: 3*s**2 - 223","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 4 minutes after 4:46 PM?\nAnswer: 4:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (-16)\/(-96) + 1 + 2890\/12?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(k) be the third derivative of k**6\/24 - 5*k**3\/6 - 6*k**2 - 5. Let o(c) = -1. Give 10*o(z) - 2*v(z).\nAnswer: -10*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Product of 38552 and 0.0566.\nAnswer: 2182.0432","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 531 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(30) - 2*1*sqrt(30))\/sqrt(10) - (4 + 4*(sqrt(3) + 0 - sqrt(3)))**2.\nAnswer: -16 - sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence mk when two letters picked without replacement from aakkkkma.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 834, 1727, 2620?\n\"Answer: 893*g - 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a(o) be the third derivative of -o**4\/24 - 2*o**2 + 36*o. Let p(z) = -11*z - 17. What is a(p(m))?\nAnswer: 11*m + 17","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 90472?\nAnswer: 2, 43, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 13*z**4 - 198*z**3 - 3*z**2 + 1922*z wrt z.\nAnswer: 312*z - 1188","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: ((-3)\/12*-8)\/(-1)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is -0.2 <= 0.235?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 27 + -8333?\nAnswer: -8305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 8\/10 + (-23)\/(-115). Suppose 0*o + 4*o + 3*j - 17 = 0, o = j - q. Suppose d - 4 = o*d. Which is the nearest to -2\/7?  (a) -0.5  (b) d  (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(f) = 5*f - 4065*f**2 + 4076*f**2 - 5*f. Let x(a) = a. Determine m(x(d)).\nAnswer: 11*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Does 775 divide 334800?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: ((-4)\/84)\/((-6)\/21)\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d(h) = 23*h - 2*h**2 + 30*h - 22 + 32*h - 101*h. Calculate the smallest common multiple of d(-5) and 20.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 5*u**2 - 465*u - 4179?\nAnswer: 10*u - 465","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3260707 is divided by 308.\nAnswer: 219","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 3575 + -3572. Let l(r) be the first derivative of 9 + 1\/2*r**2 - 1\/4*r**4 - 2\/3*r**z + r. What is l(-2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -103552357 + 92*h + 103552357.\nAnswer: 92*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2 in 0.12002, -2\/9, -0.1?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*j**2 + 7*j**2 + 3*j**4 - 9*j**3 - 4*j**2 + 12*j = 0. What is j?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 0.07 - 0.3. Let h = c + 0.03. What is the second smallest value in 4, -5, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 26, 58, 104, 170, 262, 386?\nAnswer: 548","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 16*g**2 - 3*g**2 + 10*g**3 + 4*g**2 - g**2 wrt g.\nAnswer: 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 472360 to the nearest 100000.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 19 - 14. Suppose -14 = -i*u + 1. Suppose -8*k = -u*k - 10. Solve 2 = -4*s + k*m - 8, 0 = -m - 1 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 362 is divided by 61.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-6528)\/85)\/32*10\/(-42).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 340687?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v**(-15)\/(v*v\/(v**(-4\/3)*v)*v))\/(v**(2\/5))**(-49) assuming v is positive.\nAnswer: v**(19\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -221964 + g - 221962 + 443926.\nAnswer: g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -2 + 13. Suppose -5 = -4*l + i. What is the greatest common factor of 12 and l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -46*l**4 - 2*l**2 - 1122*l + 1997994 wrt l.\nAnswer: -184*l**3 - 4*l - 1122","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose g - 2*g = -2. Let y(q) = q**3 + 7*q**2 - 2*q + 8. Let k(d) = d**3 + 3*d**2 + 2*d - 1. Let v be k(-3). Let x be y(v). Solve -4*j + x = g for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 96\/5*i - 23\/10*i**3 + 59\/5*i**2 - 144\/5 + 1\/10*i**4 = 0 for i.\nAnswer: -2, 1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 10433562?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is -1710.448 rounded to the nearest 10?\nAnswer: -1710","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 700819 or 0.049?\nAnswer: 700819","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4 + sqrt(28) + -3 - (5 + (sqrt(112) + -1)**2 + sqrt(112) + sqrt(112)).\nAnswer: -125 + 2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let l(n) = n - 1. Let a(u) = 2*u**3 - 2*u - 6. Let w(g) = -11*g**3 - g**2 + 11*g + 35. Let b(c) = -34*a(c) - 6*w(c). Let y(m) = -b(m) + 6*l(m). Factor y(v).\nAnswer: 2*v*(v - 2)*(v - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 12275, 51198, 116067, 206882, 323643, 466350?\n\"Answer: 12973*w**2 + 4*w - 702","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 601589 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 2\/(-7) + 33\/(-7). Let o(c) = c**3 + 6*c**2 + 6*c + 5. Let g be o(a). Solve g*v + 3 = v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*t - 3 + 3 + (-9*t + 2*t + 5*t)*(5 - 3 - 3)*(4 - 2 - 1).\nAnswer: 4*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -41 + 10 + -13 + -7 - (8 - 1)?\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-16)\/(-40) + (-24)\/(-15). Suppose z*b - 170552 + 670556 = j, 4*j + 499984 = -2*b. Round b to the nearest one hundred thousand.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3528186 is divided by 185693?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"}
{"text":"Question: Find d, given that -6*d**3\/5 + 47*d**2\/5 + 206*d\/5 + 33\/5 = 0.\nAnswer: -3, -1\/6, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5670 - 8*j - 20*j + 51*j - 25*j)*(-3*j + 0*j + 0*j + (-1 + 2 - 2)*(0*j + 3*j - 4*j)).\nAnswer: 4*j**2 + 11340*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let d be -1*(3 + -13) - (-2 - -10). Solve 5*f = -3*a - 19, d*f - 2*a + 4 = -10 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 34185 - 8993. List the prime factors of t.\nAnswer: 2, 47, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: (4\/(-8))\/(-9*(-3082)\/828)\nAnswer: -1\/67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 2333380 divided by -16667?\nAnswer: -140","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Does 45 divide 2780?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5 = -5*k, i + 30 = -5*k - 1632. Let c = i + 11626\/7. What is the common denominator of c and -64\/3?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(p) = 101*p**2 + 32*p + 26. Let m(w) = 63*w**2 + 21*w + 17. Let r(d) = 5*l(d) - 8*m(d). Determine r(8).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -0.1005 + 0.2005. What is the nearest to 1 in 2, g, 11?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((x**(-2\/7))**(-7\/4)*(x**(-1))**(-17))\/((x**(1\/3))**(-3\/8)\/(x**0)**(-27)) assuming x is positive.\nAnswer: x**(141\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let b(c) = 8*c**2 + 359*c - 2. Let f(i) = 3*i - 28. Calculate b(f(s)).\nAnswer: 72*s**2 - 267*s - 3782","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 10 + -8. Let h(x) = -4 - 3*x + n*x + 8 + 4. Let s be h(9). Sort s, -4, -3 in ascending order.\nAnswer: -4, -3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 480 and 55575480.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 29720425?\nAnswer: 5, 7, 169831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 v and 2 p when three letters picked without replacement from ppvpvppppppppppv?\nAnswer: 117\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -660, -525, -420, -357, -348, -405, -540, -765?\n\"Answer: -2*o**3 - 3*o**2 + 158*o - 813","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4321392*v + 4320891*v - 8642285*v.\nAnswer: -2*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 13570006?\nAnswer: 2, 6785003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {x: 2, q: 1, v: 1, d: 1, b: 1, u: 2}. Give prob of picking 1 q, 2 x, and 1 u.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*f - 180 = -4*f. Suppose -n - n = -20. What is the highest common factor of n and f?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000000759 rounded to 7 decimal places?\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 709, 630, 439, 76, -519?\nAnswer: -1406","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n(a) = -a**2 - 6*a - 3. Let x be n(-4). Let u be (-24)\/56 - 17\/(-7). Let p(k) = -3*k - 4*k**3 - 1 + 2*k**3 - 3*k**3 + 6*k**3 - 4*k**u. Give p(x).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*t - 35 = 15. What are the prime factors of (-715)\/t - (-6)\/(-10)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4086 = -2*p - 5*c, -15*p = -14*p + 2*c - 2040. Does 52 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 71\/20 or -1\/4?\nAnswer: 71\/20","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.207 in 3\/4, -2\/5, 2?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 7 and 41962.\nAnswer: 293734","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let w(c) = 8 + 7*c - 1 - 7. Let n(a) be the third derivative of 7\/24*a**4 - 42*a**2 + 2 + 0*a + 0*a**3. What is w(n(j))?\nAnswer: 49*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*c = 4*i + 35, 36 = 9*i + 136*c + 133*c - 273*c + 8 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let x(z) = -6*z**2. Suppose -5*j = -25 - 25. Let t(d) = 4*d**2. Let m(h) = h**2. Let r(n) = j*m(n) - 2*t(n). What is r(x(u))?\nAnswer: 72*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve x + 3*u + 1 + 11 = 0, -15 = 3*u for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 5151155108?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*u - 135 = -0*u. Let y(v) = -5*v**2. Let j(q) = 66*q**2. What is u*y(r) + 2*j(r)?\nAnswer: -3*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: 23\/((-276)\/(-28))*(-3)\/(-14)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round 6339.18782 to the nearest one hundred.\nAnswer: 6300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 8?  (a) -4  (b) -12887  (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let t be ((-30)\/(-315))\/((-1)\/3). Let m = 1.1 + -0.1. Which is bigger: m or t?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 130\/(-52)*((-21)\/15 - 1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1288550062?\nAnswer: 2, 2273, 283447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -103?  (a) 0.1317  (b) 5  (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 793?\nAnswer: 13, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 113, 118, 123, 128, 133?\n\"Answer: 5*a + 108","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u\/u**(4\/5))\/(u*(u*u**(-4\/19))\/u) assuming u is positive.\nAnswer: u**(-56\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -15244 - -15244.006677. What is t rounded to 3 dps?\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 31899206?\nAnswer: 2, 23, 43, 16127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 3870219 a multiple of 72?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is g in -40*g**3 - 16535*g**2 + 43725*g + 18720 = 0?\nAnswer: -416, -3\/8, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in 0.456442 millennia?\nAnswer: 456.442","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 530816.6 millennia in decades?\nAnswer: 53081660","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2414759329?\nAnswer: 41, 191, 308359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 + (35\/4 - 7)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Determine g so that -g**2\/4 - 237781*g\/4 + 5945775\/2 = 0.\nAnswer: -237831, 50","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -30.8 and -4.\nAnswer: 123.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -32946*j**2 + 16626*j**2 + 16318*j**2.\nAnswer: -2*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*c**2\/3 - 292121*c\/2 + 219091\/6.\nAnswer: -(c + 219091)*(4*c - 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 129412176 to the power of 1\/2, to the nearest integer?\nAnswer: 11376","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand -14*j**5 - 8*j**5 + 14*j**5 + (4*j**3 - j**3 - j**3)*(3*j - 3*j - j**2).\nAnswer: -10*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 161 and 138?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 74879681 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: -9927113848 - -2\nAnswer: -9927113846","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let h(d) be the second derivative of -3*d**3\/2 - 5*d**2\/2 + 8*d. Differentiate h(g) with respect to g.\nAnswer: -9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -62\/260295 and 85\/938?\nAnswer: 520590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-80)\/(-168) - 3\/21. Let s be -3*(-2)\/(-12)*6. Which is the third smallest value?  (a) 0  (b) f  (c) s  (d) 5\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(q) = -2*q**3 - 7*q**2 - 6*q. Let x(o) = o**2 + o. Let n be 2\/(-7) + (-40)\/7. Determine n*x(h) - p(h).\nAnswer: 2*h**3 + h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 7704?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: -31 (base 4) to base 9\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q(a) be the first derivative of 2*a**2 - 12*a + 2. Suppose -2*b + b + 2*s = 8, 2*s = -5*b + 20. What is the smallest common multiple of q(8) and b?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z*z**(-4\/3)\/z*(z**(2\/11)\/z)\/z)\/(z\/z**(-2)*z)**(-19) assuming z is positive.\nAnswer: z**(2404\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is -14386805 (base 10) in base 6?\nAnswer: -1232205325","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-4)\/8)\/((-5)\/(-30)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:45 PM and 1:05 AM?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in three tenths of a microgram?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -5574 - -9565. Suppose v - 330 = x + 473, -3*x = 5*v - z. Let p = v - 247. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*j + 3*u = -7*j, 16 = -4*j + 4*u. Let w be (-30)\/25*20\/j. What is the highest common divisor of w and 108?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0 or -1\/1177?\nAnswer: -1\/1177","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let z(t) = t**3 - 3*t**2 + 2*t - 2. Let v be z(2). Let x = v + 4. Suppose 5*f + 2*c = 30, -f + x*f + 4*c = 24. What is the nearest to -1\/3 in f, -0.2, 2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 8\/(-336)*123 - 2\/((-2)\/3).\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 31\/14 and 35\/874.\nAnswer: 6118","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -35\/479 and -25\/9.\nAnswer: 4311","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let u(a) = -a**3 + 2*a**2 - 9*a - 736. What is u(0)?\nAnswer: -736","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let s(k) be the third derivative of -2*k**2 + 0*k**3 + 0*k + 1\/60*k**5 + 0 + 0*k**4. Let u(w) = 4*w**2. Give s(u(c)).\nAnswer: 16*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1061.\nAnswer: 1061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Sort -9, -3, -1.5, -2, 9 in descending order.\nAnswer: 9, -1.5, -2, -3, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -43547, -87095, -130643?\nAnswer: -174191","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Round 1444324.3 to the nearest 100000.\nAnswer: 1400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((t*t*t**(2\/7)*t)\/t**(-7))\/((t\/(t*t**(-2)))\/t)**(5\/2)*(t\/(t*(t\/(t**(-3)\/t)*t)\/t*t))\/(t**4\/t)*(t*t*t*t**(-5\/4)*t)\/t*t*t**(1\/3)\/t assuming t is positive.\nAnswer: t**(73\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1136261 is divided by 721.\nAnswer: 686","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -4*6\/168*7\/(-6)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*z + 85 = 5. Let s = z + -10. What is the units digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(p) = -6*p + 2. Let q be (1*-1)\/(4\/(-24)). Suppose 9*a + 15 = q*a. Let w be x(a). Solve -3*b - w = -5*r, 4*b - 2*r + 16 = 2*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9 = 2*l + 1. Let r be ((-10)\/l)\/((-6)\/36). Let a be (2 - 0)*r\/(-6). Sort a, 2, 6 in ascending order.\nAnswer: a, 2, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 96592.15 centuries?\nAnswer: 115910580","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 256.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -38 - 2*d - 3*d + 24.\nAnswer: -5*d - 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth smallest value in 6, 2\/7, 0.804, 0.035, 5, -2, 2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 681159 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -871, -1785, -2699, -3613?\n\"Answer: -914*k + 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -71b95b (base 14) in base 3?\nAnswer: -21012211220221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -7.86 in 0.2, -1\/3, 3, 1.9?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -1011000 + -1111011?\nAnswer: -11010011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -3109 - -28031\/9. Find the common denominator of r and 43\/7.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((g**(2\/3))**(2\/69)\/(g**2*g*g*g*g**(-2\/7)*g*g))**(10\/7) assuming g is positive.\nAnswer: g**(-97010\/10143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.2?  (a) 2  (b) 0.112  (c) -1\/6  (d) 28  (e) 1\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -19.4  (b) 0.4  (c) 11  (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is -692886 < -692798?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -4e1 (base 16) in base 15?\nAnswer: -584","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 66\/(-14) + 2\/(-7). Let h = 389 + -361.2. Let u = -27.4 + h. What is the closest to 1\/5 in 4, t, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*l - 49 - 7 = 0. Solve -2*m = -l - 1 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 0.04 - 0.18. Let h = 0.06 - t. Let y = 85.9 + -86. What is the third smallest value in 3, y, h?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 12 - -102012100?\nAnswer: 102012112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let g(p) = p - 1. Let m be g(-1). Let v be m\/(-3)*3 + 48. Calculate the highest common divisor of 10 and v.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-8750)\/(-1500)*(-1)\/((-10)\/(-4))*6.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(90)*-2 + sqrt(90))\/sqrt(6)*-5)\/(sqrt(6)\/(-4*sqrt(2)*2)))**2.\nAnswer: 8000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.01177511 to 4 dps.\nAnswer: 0.0118","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ruuudruzrrzrirruurz. What is prob of sequence urd?\nAnswer: 8\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 14.21 + -26.438. Round f to the nearest integer.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be ((-700)\/42)\/2 - -9. What is the second biggest value in -0.3, -2\/3, n, -1\/9, -3\/2?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -143 - -145.32. Let q = 0.571 + -0.251. Let s = q - z. Which is the second biggest value?  (a) -2\/11  (b) -3  (c) s  (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 23 - u - 10 - 19*u - 14 - 222*u**3 + 218*u**3 as l*u**2 + i + z*u + k*u**3 and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Are 1 and -6\/135533 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -6.04 + 6. Let l = 0.16 - q. Which is the second biggest value?  (a) 5  (b) 5\/6  (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(c) be the first derivative of -16*c**5\/5 - 10*c**4 - 11*c**3 - 5*c**2 - c + 1. Factor m(h).\nAnswer: -(h + 1)**2*(4*h + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 268 + 208 = 34*y. Calculate the remainder when 2802 is divided by y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -2*r**4 - 258*r**3 - 4*r - 54 wrt r?\nAnswer: -24*r**2 - 1548*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 1085, 4692, 10709, 19142, 29997?\nAnswer: 43280","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 4170978 and 42.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"}
{"text":"Question: Let u be ((-1062)\/8)\/((-127)\/1016). What is the highest common factor of 3068 and u?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3*(2*sqrt(117) + -4 - (sqrt(117) + 2*sqrt(117) + 2)))**2 + 0.\nAnswer: 324*sqrt(13) + 1377","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*l**4 - 12*l**3 + 4*l**2 + 12*l - 8.\nAnswer: 4*(l - 2)*(l - 1)**2*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {q: 1, m: 1, z: 1, i: 1, w: 1}. What is prob of sequence zq?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -4?  (a) -2312\/5  (b) 3  (c) 0  (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -3610, -3606, -3600, -3592?\n\"Answer: d**2 + d - 3612","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-4)\/10 - 46\/10. Let s(u) be the second derivative of 22*u - 7\/2*u**2 - 8 - 1\/2*u**3. Determine s(g).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(m) = m**3 + 9*m**2 - m - 11. Let d be a(-9). What is the remainder when (4\/(-2))\/d - -35 is divided by 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(v) = 117296*v. Let y(k) = -2*k**2 - 77. Give h(y(t)).\nAnswer: -234592*t**2 - 9031792","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 1193, 4435, 9739, 17105, 26533, 38023, 51575?\nAnswer: 67189","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: -50+0.97953025355\nAnswer: -49.02046974645","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 156, -0.5, -1014, 0, -0.9, -4?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: 32096 divided by -2\nAnswer: -16048","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 5*x + x**4 - 4*x - 2*x**3 - 2*x - 2*x**2 to the form c*x**4 + s + q*x**3 + f*x + d*x**2 and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*q - 30 - 5 = 0. Let i = q + -6. What is the units digit of 2 + i + 0\/3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1291184059 to the nearest integer?\nAnswer: 35933","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*k + 225 = -3*d, 6*k = -d + 2*k - 60. Let y = d + 82. Solve 4*a - 3 = 3*p, -2*p - y*a - 4 = -2 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -59 = -4*t + 5. Suppose -n + 9 = 2*r, 5*r = n + 3*n + t. Solve 6*q + x = q + n, -x = 4*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -2164.73982 to one dp.\nAnswer: -2164.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: -c67 (base 15) to base 10\nAnswer: -2797","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -456 - -450. Let a(x) = -5 - 2*x - 10 + 5. Let y be a(p). Solve 0 = k + y*k - 6 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 174, 742, 1690, 3018, 4726, 6814, 9282?\nAnswer: 12130","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -21, -43, -65, -87, -109, -131?\nAnswer: -153","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 263 + -7. What are the prime factors of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 67 is divided by 41?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 710, 606, 384, 44, -414, -990?\nAnswer: -1684","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 10 + (-4 - 1 - (98 + -87)) - 5.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1133 (base 8) to base 14.\nAnswer: 311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -2 + 7. Let s be (-1)\/(-2) - (-27)\/(-6). Let n(p) = p + 5. What is the least common multiple of d and n(s)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 236*a**3\/5 - 706*a**2\/5 - 6*a\/5.\nAnswer: 2*a*(a - 3)*(118*a + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let p be -2 + 1 + 4\/1. Suppose p*o - 22 = 8. Suppose 0*b = -5*b + o. Solve -b*m = -6*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 607347632 by -37959227.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is (1912456\/(-512265))\/(2*(-8)\/2)?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round -7418700 to the nearest 1000000.\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is -1 at least as big as 2\/239?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, 4, 6, -1, 126, -11 in descending order.\nAnswer: 126, 6, 4, -1, -3, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 81, 190, 325, 486, 673, 886?\n\"Answer: 13*r**2 + 70*r - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 302, 577, 844, 1103, 1354, 1597, 1832?\nAnswer: 2059","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: How many meters are there in 0.0378981 micrometers?\nAnswer: 0.0000000378981","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 3023 + -2792. What is the remainder when v is divided by 26?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express g - 7*g + 0*g + 3*g as l + f*g and give f.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Express 0*b**3 - 6*b**3 + 17 + 8*b**3 + 6 in the form z*b**3 + x*b**2 + q*b + c and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*p + w = 3*w + 14, 2*p - 5*w - 17 = 0. What is the common denominator of 1 - 100\/(-12) - 0\/p and -91\/64?\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 80, -54, -480, -1366, -2880?\nAnswer: -5190","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v(i) = -7*i + 65. Let t be v(9). Which is the closest to -2?  (a) -0.2  (b) t  (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*l - 85 = -4*o + 3*l, 3*o = 2*l + 55. Suppose 0 = 5*c - 2*c - o. Factor 0*j**3 - j**3 - j**2 + 9*j**5 - 8*j**c + j**4.\nAnswer: j**2*(j - 1)*(j + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in -8, -1\/2, -4, 0, 3\/8?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 28344 or 0.035?\nAnswer: 28344","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many meters are there in twenty-seven quarters of a kilometer?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -10010100 (base 2) in base 12?\nAnswer: -104","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p be ((-64)\/(-12))\/(3\/18). Let a = 109 - p. Is a a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1890?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 5 - 3. Let p(x) = -x - x**k - 311 + 312 - 3*x. Suppose -5*y = -2*i - 3, -4*i + 0*y - 18 = 2*y. Determine p(i).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -0.8 + 1.1. Let j be 5*(35\/42)\/(-5). What is the closest to 0.1 in w, j, -0.3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3616367327 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*i - 28 = -o, -5*o = -10*o. Let b = -7643\/970 - -95\/97. What is the common denominator of (1\/i)\/(15\/(-30)) + 3 and b?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-30)\/(-285) + 36\/19. Suppose p*s + 12 = 40. Suppose 4*n = -5*a + s - 2, -5*a + 2*n = 6. Solve -b + 5 - 2 = a for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1\/2 in 1\/3, 7\/6, 0.2, 0.3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Does 40 divide 167546600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*i - 2*h - 95174 = 0, -34*i + 30*i - 6*h = -190428. List the prime factors of i.\nAnswer: 3, 5, 19, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3.2313*0.7.\nAnswer: 2.26191","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 3\/(117\/6) + 24\/13. Suppose z - 3 = 0, -k*z = -4*m + z + 5035. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (4\/(-3))\/(6\/18). Let a be (-3)\/j*(-8)\/(-9). Determine w so that 2*w**4 - 2\/3 - 4\/3*w**2 - 4\/3*w**3 - a*w**5 + 2*w = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2*p**3 + 3*p - 15 - 17 + 24 to f + b*p + d*p**2 + r*p**3 and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Are 17927\/1210 and 15 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"}
{"text":"Question: Let y be -6*((-15)\/(-10))\/(-3). Suppose 4*t + 2*z = 4, -y*t + 5*z - 10 = 2*t. Solve t = w - 5*u + 7, -4*w - u - 12 = -5*u for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.21, 23, -12 in decreasing order.\nAnswer: 23, 0.21, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*v + 64 = 112. Let m(n) = -n**2 - 19*n + 9. What is m(v)?\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(p) = -5*p**2 - 12*p - 7. Let b(x) = -4*x**2 - 12*x - 6. Let q(m) = 3*b(m) - 2*h(m). Let u be q(-8). Let a = u + 59. List the prime factors of a.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -57*m + 86 - 86 + 16*m.\nAnswer: -41*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 480*n**3 - 2*n**2 - 7056.\nAnswer: 1440*n**2 - 4*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 5a32 + 9?\nAnswer: 5a3b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*j - 12, 0*j - j = 3*p - 13. Suppose -p*h = -7*h + 20. Suppose -4*o - i = -87, o - i - 23 - h = 0. What is the units digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -h = 3*h - 5*q + 20, -2*h - 4 = -q for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -1230 - -2078. What is the hundreds digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 76 minutes before 8:01 PM?\nAnswer: 6:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let f(o) = -o**3 - 23*o**2 + 422*o + 98. Let q be f(-35). Let z be ((-21)\/4)\/(2\/8). Let a = q + z. Is 5 > a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(x) = x**3 + 19*x**2 + 73*x + 32. What are the prime factors of f(-10)?\nAnswer: 2, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -10085 + 9831 = 127*p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -20*y = -15*y - 10. Suppose q = 2*t + 1, 0 = 4*t - 2*q - y*q + 4. Suppose t = -4*d - 4*c + 324, -2*d - 2*c + 3*c + 153 = 0. List the prime factors of d.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, -4, -0.1, 2076, 5.\nAnswer: -4, -2, -0.1, 5, 2076","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 9901?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 51*s - 305*s - 1210*s - 153*s = 108339 for s.\nAnswer: -67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Convert 52124.24 hours to microseconds.\nAnswer: 187647264000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4*(sqrt(252)*6 + sqrt(28)))\/(-1*sqrt(576)*-6)*6.\nAnswer: 19*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 40 minutes before 10:27 PM?\nAnswer: 9:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in -2, 2, 18, 2\/11, 3\/4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ghgshnhbshns. Give prob of sequence hbh.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is one quarter of a century in months?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find v such that 18\/7*v + 9\/7*v**2 + 0 - 1\/7*v**4 - 2\/7*v**3 = 0.\nAnswer: -3, -2, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(o) = 2*o - 2. Let t be p(3). Let w = 115 + -112. Suppose w*k = -k + 32. Solve k*z = t*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 y and 1 x when two letters picked without replacement from {x: 1, w: 2, v: 1, u: 1, y: 2}.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*a = r + 10, 0 = -5*a + 1 + 4 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*c - 2*c + 4*c)*(3*c**3 - 4*c**3 + 2*c**3 + 2).\nAnswer: 2*c**4 + 4*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let z(j) = 14*j - 347. Give z(25).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*g = 4*h - 4, g - 3*h = -2*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let h(b) be the first derivative of -b**4\/4 - 7*b**3\/3 + 9*b**2\/2 + 7*b - 25. What is h(-8)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 89.08859 tonnes to kilograms.\nAnswer: 89088.59","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 10873 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*a = -a - 1. Which is bigger: a or -6\/13?\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 11199 is divided by 1383.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 31\/((-1488)\/32)*111\/(-2).\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-5)\/(-1)*(-951)\/(-12363)?\nAnswer: 5\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of w**4 - 42*w**3 - 13371*w**2 - 8*w - 8838?\nAnswer: 12*w**2 - 252*w - 26742","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*k = -3*k + 14. Suppose 5*c - k*d = 15, 3*c - 3 = 2*d + 6. Let i(x) = x - 5. Let t be i(6). Solve -c = n - t for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -6883, -13774, -20667, -27562, -34459?\nAnswer: -41358","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s(z) = z**3 - 2*z**2 - 2*z. Let d be (-56)\/(-10) + (-2)\/(-5). Suppose -5*l + d = -2*l. Suppose l*p = 5*p - 9. Determine s(p).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -24*f**4 - 4*f**3 + 4*f**2 + 36185*f wrt f.\nAnswer: -288*f**2 - 24*f + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 t and 1 x when two letters picked without replacement from {x: 2, t: 2, y: 1, d: 1, l: 1}?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -107 in -4.4, 0.2, 0.1?\nAnswer: -4.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1349 is divided by 123.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let l(i) = 23*i**3 - 2*i**2 + 3*i - 2. Let u be l(-4). Let b = u + 2915. Let p = -367 + b. Round p to the nearest 100.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(d) = -6947*d + 152854. Give u(22).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 257972 is divided by 278.\nAnswer: 266","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (15\/(-6))\/(3080\/9856) - (8 - -1)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(675) + 2*sqrt(675) + sqrt(675) - sqrt(675)) + sqrt(81)\/sqrt(3)*3)\/((sqrt(9) - sqrt(144)\/sqrt(4))*-2).\nAnswer: 9*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ie when two letters picked without replacement from {q: 3, e: 1, i: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Put 1\/12, -0.9, -0.4 in descending order.\nAnswer: 1\/12, -0.4, -0.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: How many hours are there in 3\/8 of a week?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 47604442 - 47604442 + 206*q**2.\nAnswer: 206*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*n - 2*o - 3 = n, -n - 3*o + 23 = 0. Suppose 3*y + 74 - 140 = 0. What is the greatest common divisor of y and n?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(j) = 41*j - 99. Let s(o) = -o - 10. What is -c(q) + 10*s(q)?\nAnswer: -51*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: 431.999 times 193\nAnswer: 83375.807","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 0.446 - 0.046. Which is the second smallest value?  (a) 3  (b) -1  (c) 5  (d) j\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 57\/63892 and -111\/10?\nAnswer: 319460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 8816, 8826, 8846, 8882, 8940?\nAnswer: 9026","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, 0.5, 4, -5 in descending order.\nAnswer: 4, 0.5, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 155, 279, 401, 521, 639, 755?\nAnswer: 869","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1 + (-5*(-5*(sqrt(16)*3 - sqrt(16))\/sqrt(2) + 5))**2.\nAnswer: -5000*sqrt(2) + 20624","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*u = -5*y + 300, -2*u = -5*y + y + 240. Suppose -5*k = -2*k - 111. Let c = y - k. Solve 3*v + 5*l = -c, 3*v + v + 8 = -l for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 245.270556 + -836.\nAnswer: -590.729444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 716603 is divided by 613.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence yntt when four letters picked without replacement from {y: 1, n: 2, t: 13, p: 3}.\nAnswer: 13\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let g(d) = -3*d + 6. Let k(n) = -n**3 - 7*n**2 + 6*n - 3. Calculate the remainder when g(-15) is divided by k(-8).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-2*5\/(-25))\/(8\/340). Solve -3 = 18*o - w*o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 672*y - 8307 = 2090*y + 115059 for y.\nAnswer: -87","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 222 and 927?\nAnswer: 68598","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let x(q) = 2*q**2 - 2*q. Let h(o) = -o**2 + 31*o - 53. Let k be h(19). Let d = k - 174. Let u(m) = -4*m**2 + 4*m**2 - m**2. Calculate d*u(r) + x(r).\nAnswer: r**2 - 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -260 + 236. Let r = -12 - c. Let m be 39\/9 + 2\/(-6). Solve m*n = -12, r = 3*q - 4*n + 5*n for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1750 divided by -5.\nAnswer: -350","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-113 + 64 + 61)*(0*t - t + 4*t)*(0*t + 0*t + 2*t).\nAnswer: 72*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from uehweuuuduwddduudu. What is prob of picking 1 h and 1 e?\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let f(g) = 2*g**3 + 3*g**2 + 2*g. Let w be f(-1). Is w smaller than -3\/14?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4268 = -2*r - 4326 for r.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let s(q) = -4*q**2 - 10*q. Let u(o) = o. Give s(u(v)).\nAnswer: -4*v**2 - 10*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Divide -1007424 by 36.\nAnswer: -27984","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ykkqryqkevkky. What is prob of sequence qvr?\nAnswer: 1\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4\/7, -8, -9.2, -10\/9.\nAnswer: -9.2, -8, -10\/9, 4\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 72 and 1568637.\nAnswer: 12549096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let d(m) = -707*m**3 - 2*m + 7. Let h(p) = 2128*p**3 + 7*p - 22. Calculate -7*d(f) - 2*h(f).\nAnswer: 693*f**3 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let w(f) = 44*f**2 - 2*f + 76. What are the prime factors of w(6)?\nAnswer: 2, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(j) = -3*j**3 + 19*j**2 - 2*j + 6. Let q(b) = -2*b**3 + 13*b**2 - b + 4. Let h(o) = -7*q(o) + 5*r(o). What is h(2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4*j + 61*j + 47*j + 78*j - 26*j.\nAnswer: 156*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let r(s) = -s**3 - 9*s + 7. Let w = -71 + 68. Let t(u) = -u**3 - 4*u + 3. Determine w*r(a) + 7*t(a).\nAnswer: -4*a**3 - a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let f(z) = z**2 + z + 4. Let s(b) = -1197*b**2 - 24*b - 96. Give 72*f(o) + 3*s(o).\nAnswer: -3519*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in thirty-one fifths of a kilogram?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 13*f**3 - 26*f**3 + 10*f**3.\nAnswer: -3*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -3 + 8. Suppose 2*u - 22 = -4*g + 26, -5*g = z*u - 70. Let k = 2 + g. Is k a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, 5, 124, 15, 0, -87, 2 in increasing order.\nAnswer: -87, 0, 2, 3, 5, 15, 124","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 1068 and 157110276.\nAnswer: 1068","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -6*(-2 + 2*sqrt(176) - sqrt(176))**2.\nAnswer: -1080 + 96*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let c(t) = 29*t**2 + 13*t - 63. What is the tens digit of c(5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*q**2\/13 - 174160*q\/13 + 174158\/13 = 0 for q.\nAnswer: 1, 87079","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Round 357000 to the nearest one hundred thousand.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 12 - 7. Let s(u) = 4 - 2*u - u - 2 - m. Let x be s(-2). Sort -5, x, -1 in decreasing order.\nAnswer: x, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3867220415 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: 238 * 264\nAnswer: 62832","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.4556764 millilitres in litres?\nAnswer: 0.0004556764","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 y and 2 b when four letters picked without replacement from ybbyeoqgobby.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*b = -13 - 7, 0 = 5*g + 4*b - 15. What is the remainder when 166 is divided by -1 - 2 - (-18 - g - -2)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(y) = y - 4. Let m be n(4). Find the first derivative of -2 - 5*s + s + m wrt s.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 4 + -2 - (1 + -1). Suppose 0 = g - s*g - 5*v - 13, v + 9 = 3*g. Suppose 0*c - 26 = -g*c. Calculate the greatest common factor of 65 and c.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-6)\/(-78)*17836\/21266\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 69676.54 millilitres in litres?\nAnswer: 69.67654","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express 48*v + 22*v + 13 - 71*v in the form k + g*v and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: -201.94 * -291\nAnswer: 58764.54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 70 a factor of 4598375?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 67*i**2 - 117*i**2 - 2*i**2 + 61*i**2.\nAnswer: 9*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Product of 4 and 18.59977.\nAnswer: 74.39908","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 2\/94*(739 + -692).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*k + k - 2*k)*(1 - 1 + 7*k) + 3*k**2 + 0*k**2 - 4*k**2 + (-k + 2 - 2)*(-5 + 5*k - 3*k + 3).\nAnswer: 4*k**2 + 2*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 24 + -1?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -141 - -249. Let y be (-14)\/(-63) - (-88)\/9. Suppose 4 = j - c - 7, j = 2*c + y. What is the highest common divisor of f and j?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -328376000 rounded to the nearest one million?\nAnswer: -328000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -14\/1107 and -55\/9189531.\nAnswer: 376770771","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let k(a) = -2*a + 28. What is k(8)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is -60 plus 1.3559948?\nAnswer: -58.6440052","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-40)\/21*-357*(-54)\/13770.\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ppqqhpqpphphhnphnnn. Give prob of picking 2 p.\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: -5*-0.1355111\nAnswer: 0.6775555","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*g + 4*y + 12 = 0, 4*g - y - y = 36. Is 890 - (8\/20 + 6\/g) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -9 - -25. Is 2*(q*1 - 3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1?  (a) 72  (b) 0.3  (c) 2  (d) 2515\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let z(k) = -314*k**3 - 12*k - 6. Let r(g) = 28259*g**3 + 1078*g + 539. What is 6*r(t) + 539*z(t)?\nAnswer: 308*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2\/3 in -0.4, -3\/2, -25?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is -52657 (base 10) in base 13?\nAnswer: -1ac77","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4589*v - 4590*v + 33. Let k be 1\/2 - 3\/(-2). Suppose -k*t + 33 = t. What is the greatest common divisor of v and t?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many meters are there in 76.67928mm?\nAnswer: 0.07667928","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 79571 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -8 - -12. Suppose c*j = -2*u + 42, -5*u = -4*j - 6 + 13. Suppose -j = -4*z + 8. What is the units digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*h = -3*j + 37314, -19*j + 24*j + h = 62154. What are the prime factors of j?\nAnswer: 2, 3, 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*k = -916 - 729. What is the remainder when k is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.1 - 782.\nAnswer: -781.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 8356 and 4532.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -232*f - 613*f + 59*f - 16506 = 0 for f.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -8815 = -718*i + 1955 for i.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Does -69 = -273\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of l**2*s*w - 2*l**2*w + 25*l**2 + 7159*l*s*w - 51*l*s + 4*s wrt w?\nAnswer: l**2*s - 2*l**2 + 7159*l*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 511 - 512. Let u = -2.9 + 3.2. Which is the third smallest value?  (a) -2  (b) -5  (c) z  (d) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(p) be the first derivative of -p**4\/2 - 8*p**3\/3 - 5*p**2 - 4*p + 408. Factor a(u).\nAnswer: -2*(u + 1)**2*(u + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are 1210\/2841 and 1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 107531\/7 + -15432. Let d = -73 - h. Calculate the common denominator of -71\/9 and d.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 215 - 368. Let y = -158 - r. Let v = -0.5 - 0. What is the nearest to -1 in v, y, -4?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 31\/289 and -49\/374425.\nAnswer: 6365225","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let c(h) = -9*h**2 - 6*h + 6. Let k(l) = 10*l**2 + 5*l - 5. Calculate -5*c(a) - 6*k(a).\nAnswer: -15*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 747 and 225?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: -10100010001111010111 (base 2) to base 7\nAnswer: -5435264","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -6 (base 8) in base 16?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 5?  (a) 1.8  (b) 0.5  (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: ((-15)\/(-4))\/(-1)*2496\/(-1040)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -9.1659 - 0.0941. Let d = 9 + l. Let n = -230 - -230. Which is bigger: n or d?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*m = -4*i - 37, 15*m - 10*m + 5*i + 45 = 0 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Round 4611 to the nearest 100.\nAnswer: 4600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 629 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 31139 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Does 48 divide 39151477?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 100 - 100.102. Let v = -0.002 - q. Which is the closest to v?  (a) -2\/27  (b) -5  (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose w + 6 = -13. Let v = w - -121. Suppose -v = 3*d - 303. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g**(-4)*g*g\/((g**4*g)\/g)*g*g*g*g*g*g**4*g*g*g**8*g*g)\/((g\/g**(8\/5))\/g**(2\/9)*g**(2\/15)*g\/g**(-4)) assuming g is positive.\nAnswer: g**(481\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let o(c) = -c**3 - 8*c**2 - 6*c + 14. Determine o(-7).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let u(n) = n**2 - 4*n. Let o be u(4). Let s = o + 3. Let g(y) = -2*y - 3. Let c(t) = -10*t - 14. Let h(f) = s*c(f) - 14*g(f). Calculate h(-2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1086 to the power of 1\/2, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2\/9?  (a) -4\/7  (b) 2  (c) -1  (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:12 PM and 7:21 PM?\nAnswer: 429","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: 0.31*-12270.6\nAnswer: -3803.886","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 15794122 divided by -7897061.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.4, 0.2, -394359, 0.1 in descending order.\nAnswer: 0.2, 0.1, -0.4, -394359","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let b(j) be the first derivative of 6*j**3 + 30*j**2 + 4 + 20*j**2 - 3*j - 48*j**2. Is b(5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (4 + (-10675)\/1617)\/((-1)\/201). Let x = p - 523. Which is smaller: 0 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*z**3 - 180*z**2 - 1932*z + 2116.\nAnswer: -4*(z - 1)*(z + 23)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 8790, 18201, 27612, 37023, 46434?\nAnswer: 55845","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-3*(sqrt(1584) + -1) + 5)*-3)**2.\nAnswer: -5184*sqrt(11) + 128880","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose d - 3*l = -34, 4*d + 92 = 3*l - 53. Let c = -32 - d. Calculate the greatest common factor of 10 and c.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: -12*-8.02303\nAnswer: 96.27636","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -17, 2\/7, 2\/11, -0.24, 54\/23?\nAnswer: -0.24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 11031 - -2333232?\nAnswer: 3010323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (0 + (sqrt(65)*-1*-6)\/sqrt(5) + (-4*sqrt(104)\/sqrt(8) - (-5 + sqrt(52)\/sqrt(4))))**2.\nAnswer: 10*sqrt(13) + 38","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 21*f + 5*f - 28470. List the prime factors of f.\nAnswer: 3, 5, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1532198241.\nAnswer: 3, 7, 73, 111053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 78 and 1365.\nAnswer: 2730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is -28680190.6 rounded to the nearest one thousand?\nAnswer: -28680000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -632667.8 and -2407?\nAnswer: 630260.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let f(l) = l**2 + 8*l + 6. What are the prime factors of f(-8)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(m) = 1006*m + 2203. What is c(-2)?\nAnswer: 191","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: (-9)\/5*(-17)\/(408\/80)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -5b - -3?\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 0.4361 - 0.0361. What is the nearest to -4 in h, -6, 3?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 5  (b) 1  (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let w(q) = -q - 1. Let h(c) = 193*c - 298. Let g(o) = h(o) + 3*w(o). What is the derivative of g(p) wrt p?\nAnswer: 190","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (330\/55)\/((-6)\/4)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1397*a + 1726*a - 1542*a.\nAnswer: -1213*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: (-2 - (-1 - 1)) + (-1 - 3)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p(z) = 228*z**2 - 2*z + 5. Let k be p(2). What is the greatest common divisor of 83 and k?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 9265 and 12325.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 644 and 8.\nAnswer: 1288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -4\/817 - 1606\/5719. What is the second biggest value in 0, 0.5, u, -10?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*q**3\/9 + 164579950*q**2\/9 - 329159894*q\/9 + 54859982\/3.\nAnswer: -2*(q - 82289973)*(q - 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let s(l) = 5*l**2 + 7*l + 1. Let i be s(-5). What is the highest common divisor of i and 91?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 29\/81*-3 + 1.\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -772, -773, -774, -775?\n\"Answer: -g - 771","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 156 minutes after 4:49 PM?\nAnswer: 7:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*t + 5 = -0*i + i, 3 = -7*t + 5*i. Let s(x) = 98*x**3 - 70. Let w(f) = f**3 - 1. What is t*s(o) - 70*w(o)?\nAnswer: 28*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Find x such that -2*x**5 - 127558*x**4 + 5743292*x**3 - 55402496*x**2 - 208323840*x - 147050496 = 0.\nAnswer: -63824, -2, -1, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -6\/55  (b) -0.1  (c) 6  (d) -15  (e) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 109807 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let v(n) = -13*n + 84. What is v(17)?\nAnswer: -137","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, 9, -2237, 2, -5, 6 in ascending order.\nAnswer: -2237, -5, -2, 2, 6, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let g(m) = -93*m**2 + 2*m + 7. Let i(a) = 397 - a + 21*a**2 - 399 + 9*a**2. Let y(c) = -2*g(c) - 7*i(c). Find the second derivative of y(d) wrt d.\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -47 = -3*t + 2*t - n, 3*n + 223 = 4*t. Let s be 6\/39 + 148\/t. Factor 2\/9*g + 0 - 2\/9*g**2 + 2\/9*g**4 - 2\/9*g**s.\nAnswer: 2*g*(g - 1)**2*(g + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(b) = -34*b. Let p(x) = 3248*x**2. Determine o(p(j)).\nAnswer: -110432*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 0 - -2. Suppose -2*f + 3*g + 16015 = 0, -a*f - 3*g - 2181 = -18166. Round f to the nearest 10000.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.9 in -2, 3, 35, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 4 + 7. Let s = -17 + 25. Suppose s = 6*c - 4*c. Calculate the least common multiple of j and c.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -5037 to the nearest one hundred.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -8221 + 82287\/10. Let l be 28514\/(-10)*(-15)\/48. Let g = 896 - l. Calculate the common denominator of w and g.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*a**2 + 18005*a - 1373970.\nAnswer: -5*(a - 3523)*(a - 78)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -294 = -81*y + 597 for y.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 877 - 876.8. What is the second smallest value in 0.1, -4, w, 65?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 46870 (base 14) in base 7?\nAnswer: 1313600","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: -2 divided by -7957039\nAnswer: 2\/7957039","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 23959 + -23958.9918135. What is d rounded to 3 dps?\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-3 - -35) + 173 + -184?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 175 minutes before 7:38 PM?\nAnswer: 4:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let s(y) = -y**3 + 9*y**2 - 23*y + 12. Let a be s(4). Sort -3, -106, a, -2.\nAnswer: -106, -3, -2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -17 - 38 = -5*i. What is the greatest common factor of i and 77?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 7579 + (-360)\/24 + 8. Are b and 7573 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -2\/5, -4, -0.3, -6.2?\nAnswer: -6.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 44981047.\nAnswer: 53, 848699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*k + 251 = 2*n, 3*n + 59 = k - n. Suppose 40*m = k*m - 418. What is the greatest common factor of m and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 1.1 + 15.9. Let g = f + -16.8. Which is the nearest to -0.1?  (a) g  (b) 2  (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 1 and 19.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 24844194, 49688391, 74532590, 99376791, 124220994?\n\"Answer: w**2 + 24844194*w - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*d**2\/7 - 12*d + 576\/7.\nAnswer: -2*(d - 6)*(d + 48)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 2 and 1018764?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 360933?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Determine i, given that -2*i**5\/23 - 252*i**4\/23 + 79376*i**3\/23 - 1842048*i**2\/23 - 324228096*i\/23 + 13908713472\/23 = 0.\nAnswer: -274, -68, 72","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: 3 * -49831837\nAnswer: -149495511","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2\/7 in 1.34, -13, -1\/3, -16?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Does 51 divide 1050590?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 253402 is divided by 35?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -7 - -10. Let q(c) = 2*c - 9. Let i be q(6). Find the second derivative of 0*k - o*k - 2*k**i - k**3 + 0*k**3 wrt k.\nAnswer: -18*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -244.8 and -30377.\nAnswer: 7436289.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -3.4 - 2.5. Let c = w - -1.8. Round c to the nearest integer.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 30018?  (a) -2\/7  (b) 5  (c) -1  (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Express 13*g**2 - g**2 - g**2 + (0 - g + 0)*(5*g - 1 + 1) + (g - 2 + 2)*(-2*g + 0*g + 0*g) as j + u*g**2 + l*g and give u.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let c be -95*1*(-6)\/15. Let j be (-5)\/(-25) - c\/(-10). Solve 2*d = 4*l + 3*d - 15, 4*l + j*d = 24 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(p) = -8*p - 3. Suppose -3*h - 6 = 3*r, 3*h - 5*h + 5*r + 3 = 0. What is the remainder when 16 is divided by i(h)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -3*d**3*p**3 - 818*d**3 + 169*d**2*p**3 wrt p.\nAnswer: -9*d**3*p**2 + 507*d**2*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -1755 + 165?\nAnswer: -15b0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 18835842*i**2\/11 - 2*i\/11 = 0. Calculate i.\nAnswer: 0, 1\/9417921","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -5075\/39 - -3661693\/28158. Find the common denominator of y and 33\/(-220)*(-575)\/(-60).\nAnswer: 5776","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 3570\/57467 or -1?\nAnswer: 3570\/57467","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Put -2, 3, 104, 18, 1 in increasing order.\nAnswer: -2, 1, 3, 18, 104","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*r + 14 = 4*m, -6*m - 19 = -10*m + 3*r for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*g + 1143 = 7*g. Let x(v) = -g*v**2 - 130*v**2 + 259*v**2. Let k(j) = -5*j + 3. Let l(s) = 4*s - 2. Let q(m) = -2*k(m) - 3*l(m). Give q(x(y)).\nAnswer: -4*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 27327 - 12110. What are the prime factors of t?\nAnswer: 15217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(w) = -4*w - 4. Let f(s) = 3*s + 3. Let y(i) = -3*f(i) - 2*m(i). What are the prime factors of y(-9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*t - 8 = -4*t + 2*a, 0 = -2*a - 8. Suppose -d - 4*d + 125 = 5*z, -3*d = 0. Suppose 5*m = t, 5*o - 4*m - z + 10 = 0. What is the units digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 23313 - -1003?\nAnswer: 30322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 3224, 6456, 9702, 12962, 16236, 19524, 22826?\n\"Answer: 7*n**2 + 3211*n + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 492 - 469. Suppose 0*q - 2*q = 16. Let t = 1 - q. Calculate the remainder when i is divided by t.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -17 + 20. Suppose l*g - 9 = 15. Let q(n) = -n**3 + 9*n**2 - 6*n + 8. Does 10 divide q(g)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-36)\/(-27))\/(356\/6141).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -20*t - 48 = -21*t + u, 5*u = 0. Calculate the highest common factor of 80 and t.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -145 divided by -6.\nAnswer: 145\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: -0.216 * -15\nAnswer: 3.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*g = 2*z + 4, 2*g = 3 - 7. Let f = z + -3. Let v = 2195.1 + -2195. What is the closest to v in f, -0.2, 1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the billions digit of 1938444687?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 43 - 29. Let f = 15 - g. Which is the closest to 1\/9?  (a) 0.4  (b) f  (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 203803.\nAnswer: 23, 8861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*r + s + 14 = -11, r - 15 = -3*s. Suppose 295*m + 269 = 338 + 816. Solve -r = -m*p - 0*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 11*y - 744*c = -740*c + 60, -4*c = -5*y + 36 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -619, -1124, -1629, -2134, -2639, -3144?\nAnswer: -3649","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 8716 - 433 - 2*h + 496*h**3 + 17*h**2 + 5*h - 19*h**2 + 0*h wrt h.\nAnswer: 1488*h**2 - 4*h + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((m**(-15)*m)\/m)**43*m**28\/m**(-1\/42))**(-7\/11) assuming m is positive.\nAnswer: m**(25913\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3543744.\nAnswer: 2, 3, 18457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 503 + -506. What is the fourth smallest value in -36, -1, 5, c?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 8 divided by 60214\nAnswer: 4\/30107","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -8 - -13. Let i = 10 - 6. Let v = i - k. Which is the closest to 0?  (a) v  (b) 0  (c) 2\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 2097 + -2032. Calculate the least common multiple of g and 390.\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is (-152)\/266 - 40667\/(-7) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0 in -0.03, -48, -0.5, 4\/5, -15?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 89\/631510 and 69\/505208.\nAnswer: 2526040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let l(c) = -c**2 + 5*c + 1. Let i(w) = 6*w**2 + 19*w + 155. Let j(r) = i(r) + 5*l(r). Factor j(d).\nAnswer: (d + 4)*(d + 40)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 1\/(-2)*0\/2. Suppose r = 2*j + j - 24. What is the units digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -904 + 250 = -3*o. What are the prime factors of o?\nAnswer: 2, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:30 PM and 12:42 AM?\nAnswer: 372","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-2*1*sqrt(78))\/((sqrt(108)\/sqrt(9))\/sqrt(2)))**2.\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {o: 2, t: 2, z: 2}. What is prob of picking 2 t and 1 o?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 37585*q**3 + 5*q**2 - 8*q + 6088481.\nAnswer: 112755*q**2 + 10*q - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let n(t) = -4*t**3. Let y(g) = -g**2 - 8*g + 7. Let q be (2 - 5)*2 - 3. Let a be y(q). What is the units digit of n(a)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence gwsp when four letters picked without replacement from {p: 1, w: 3, s: 2, u: 1, g: 2, r: 3}?\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 2132 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -75 + 106. Let y = 60 - n. Let c = 1556 + -1471. Calculate the remainder when c is divided by y.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose b - 59309 = 4*g, 296503 = 5*b - 1154*g + 1155*g. Is 33 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 2730460908?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 1.21 bigger than -4943?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 845 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is -6.020010344 rounded to 2 decimal places?\nAnswer: -6.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 79\/18 and 19\/81.\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -331\/48 - -105\/16. What is the nearest to w in -2, -0.2, 0.02?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(x) = -2*x**3 - 8*x**2 - 12*x - 3. Calculate t(-2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let x(l) be the first derivative of l**3\/3 + 5*l**2\/2 - 72*l + 104. Let n be x(-13). Calculate the greatest common factor of n and 496.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(m) be the first derivative of -7*m**2\/2 - 40*m + 1439. Calculate t(-5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 8717*w + 803*w**2 - 801*w**2 - 8717*w.\nAnswer: 2*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 30 a factor of 3930?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is -4209 bigger than -426?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1420 is divided by 696?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is (((-167)\/(42585\/(-204)))\/(6\/(-5)))\/((-4)\/(-30))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(v) be the second derivative of v**7\/280 + v**6\/80 - v**4\/16 - v**3\/8 + v**2 + 3*v. Let n(w) be the first derivative of i(w). Suppose n(l) = 0. What is l?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 1291287, 1291229, 1291171, 1291113?\n\"Answer: -58*k + 1291345","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, 45\/2, 4, -2.9 in ascending order.\nAnswer: -5, -2.9, 4, 45\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -1010101011 + -111010111101101000?\nAnswer: -111011001000010011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 8 + (15\/30)\/((-1)\/10). Let v(b) = -b**2 - 7*b - 2. Let j be v(-6). Suppose j*y - 8 = -0*y. Solve r = 3*f, -3*f - 1 = y*a - 0*f for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(b) be the first derivative of -b**2\/2 + 23*b + 2. Suppose -w + 3*w + 22 = 4*k, 0 = 4*k + 3*w - 37. Calculate the remainder when r(-10) is divided by k.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 e when two letters picked without replacement from nnnenenennn.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let s(u) be the first derivative of u**3\/3 + 4*u**2 + 3*u - 2. Suppose 5*x + 40 = -81*l + 76*l, -3*l = -5*x - 24. Determine s(x).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is 43\/4 of a microsecond in nanoseconds?\nAnswer: 10750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*k - 3*x - 246 = 0, k - 452 = -4*k - 2*x. Calculate the greatest common factor of 32 and k.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(g) = -6*g + 14. Let t be u(2). What is the second derivative of 5*f + 7*f**2 - 4*f**2 - 4*f - 8*f**t wrt f?\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 511*t - 6*t + 8434 - 612 = -11873 for t.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-25 + 76 + -45)*(-4)\/((-8)\/6)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*l + 6 = 36*s + 38*s - 75*s, -41 = -4*s + 7*l for s.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*f + 3*o = 4*f - 92, 3*f = -2*o + 86. Let n(m) = 7*m + 146. Let z be n(f). What is z rounded to the nearest 100?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -7*i - 79362004 + 79362004.\nAnswer: -7*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -4\/7233  (b) -5\/2  (c) 2  (d) -0.7  (e) -1  (f) 0.2  (g) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 145252 and 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c**(4\/5)*c**(1\/3))\/(c**(-6\/11)\/(c\/c**8)) assuming c is positive.\nAnswer: c**(-878\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 77*t = 90*t - 17849. What is the tens digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(u) = -75*u**2 + 2*u - 1. Let y(c) = -150*c**2 + 5*c - 1. Let a(h) = -5*x(h) + 3*y(h). Let i be a(-3). Let v = 93 - i. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: -11725 divided by -5\nAnswer: 2345","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-28)\/((-2016)\/135))\/(60\/(-72)).\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 272 a factor of 8 - 33*(-33216)\/72?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 546535767 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -3578695, -3578698, -3578701, -3578704?\n\"Answer: -3*y - 3578692","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 0, -13, -72, -171, -304, -465, -648, -847?\nAnswer: -1056","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, -3029, -5 in decreasing order.\nAnswer: 3, -5, -3029","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.1323406 millimeters to meters.\nAnswer: 0.0001323406","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w(j) = -j**2 + 145*j - 4848. Give w(62).\nAnswer: 298","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 10110000 + -10?\nAnswer: 10101110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -119\/1110 and -63\/20?\nAnswer: 2220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -2, 1.3, 21396, 0.4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Round -2959.1461 to the nearest integer.\nAnswer: -2959","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 133534 is divided by 8340?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 0 + 12*6\/4. Let z(d) = 5*d - 3*d - 6*d + 3*d + 15. Let y be z(13). What is the greatest common divisor of r and y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4199 + 7943 = 235*c - 5800 - 4791 for c.\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Work out -40.04980667 - -5.\nAnswer: -35.04980667","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 218 divided by -1.\nAnswer: -218","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 234793 and 26?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let a(d) be the third derivative of -d**4\/24 - 5*d**3\/6 - 10*d**2. What is a(-8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {y: 1, s: 2, p: 9, d: 5, c: 1}. What is prob of picking 3 p?\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let k(o) = -o**2 - 14. Let a(h) = 5*h**2. What is k(a(m))?\nAnswer: -25*m**4 - 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 2*(-2)\/14 - (-11831028)\/462. Suppose 36*h + i = 58*h. Does 44 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(j) = -j**3 - 8*j**2 - 7*j - 10. Calculate i(-7).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.008 * -299249.3.\nAnswer: -2393.9944","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Product of 901 and -1149.\nAnswer: -1035249","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 112 + -32b04c?\nAnswer: -32ac3a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.2?  (a) -18  (b) -5  (c) 0  (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 + 4 - 3)*(0*z**2 + 0*z**2 - 2*z**3) - 2*z**3 - z**3 + 2*z**3.\nAnswer: 3*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Does 16 divide 8237680?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*i + 9*p - 18849 = 1705, -p - 30744 = -3*i. List the prime factors of i.\nAnswer: 2, 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 8555 is divided by 107?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify q**(-22)*((q*q\/q**(-2\/121))\/q)\/q assuming q is positive.\nAnswer: q**(-2660\/121)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let l(k) = -8*k + 0*k - 4*k + 2*k + 1. Let f(i) = 9*i - 1. Let n(y) = 5*f(y) + 4*l(y). Let z be (-2)\/(-8) - 21\/4. Let v(r) = 9*r - 2. Give z*n(g) + 3*v(g).\nAnswer: 2*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 3 in -4, 2\/5, -5, 34?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ff when two letters picked without replacement from qfeqffqqqqqqqqqeeq.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let d(h) be the second derivative of h**4\/6 + h**3\/3 - h**2 - h. Let u(i) = i + 3. Let b be u(0). Let g(l) = -2*l - l**2 - 3*l + 5*l. Give b*g(y) + d(y).\nAnswer: -y**2 + 2*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -3*h*w**4 - 3*h*w**3 - 5*h*w**2 + 15*h - 4*w**4 + 4*w wrt w?\nAnswer: -72*h*w - 18*h - 96*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -2235, -1462, -109, 1878, 4553, 7970, 12183, 17246?\nAnswer: 23213","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 2 - -51 - (-419 + 463)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 119 is divided by 42.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 1155 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 329112704?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 10, -2, -62, -194, -422, -770?\nAnswer: -1262","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*f = 3*i + 182, 5*f + 371 - 130 = -4*i. Let y be 1290\/27 + (-12)\/i. Suppose -r = r - y. What are the prime factors of r?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 8031247 + 18768753. What is h rounded to the nearest 1000000?\nAnswer: 27000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -47 - -35. Let h(t) = -2*t + 13. Let u be h(v). Let r = u - 30. Calculate the remainder when r is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: 8 (base 14) to base 2\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence og when two letters picked without replacement from mgnnbnonno.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.480593 centuries to months.\nAnswer: 576.7116","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 1\/12338 - -12333\/61690. Let o be -3 - ((-1)\/(-2))\/(-1). Which is the third biggest value?  (a) 1\/2  (b) r  (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 13595609 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*r - 3 - 1 = 0. Let j(b) be the first derivative of -b - 1\/2*b**2 + 8. What is j(r)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2287374 (base 9) in base 5?\nAnswer: -304121011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 3051 and 36?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is -107 (base 9) in base 6?\nAnswer: -224","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (14 - 16)\/(10003\/10004 - 1). Find the common denominator of 2\/(-17) - i\/(-2448) and 83\/48.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-12)\/(-22 - -16)*(-7)\/(-2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be ((-14346)\/(-1026) - 14)*-7. Which is the second biggest value?  (a) -3\/2  (b) 2\/15  (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-68)\/17*(-2)\/24*-3?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*a = -3*f + 17, -131*f = -170*f + a + 157 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:44 PM and 1:00 AM?\nAnswer: 676","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 161920.\nAnswer: 2, 5, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -635*k + 618*k = 85 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*u - 4 + 4)*(14*u + 6*u + 9*u) + 4*u - u - 3*u**2 + 3 + 5*u**2.\nAnswer: -56*u**2 + 3*u + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2\/9, 3\/7, 3, -6, 0.4 in decreasing order.\nAnswer: 3, 3\/7, 0.4, 2\/9, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Factor 40*t**3 + 4225*t**2 - 5885*t.\nAnswer: 5*t*(t + 107)*(8*t - 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -44 (base 6) in base 7?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -4112, -8030, -11946, -15860, -19772?\nAnswer: -23682","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 1450613 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let o(x) be the first derivative of 55*x**7\/7 - 77*x**3\/3 - 6. Find the third derivative of o(w) wrt w.\nAnswer: 6600*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -35043\/10 - -3501. Calculate the common denominator of g and (-5 - 4)\/18*41\/(-4).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*y - 398 = -34. Let h be (-4)\/14 - (-24)\/y. Let f = 30 - 32. Which is the second smallest value?  (a) 5  (b) h  (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -11 + a0?\nAnswer: 8a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let l(d) = -d**3 - 4*d**2 - 5*d - 6. Is 11 a factor of l(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*w - 3*l - 2 - 4 = 0, 2*l = w + 1. Let a(u) be the first derivative of 1\/3*u**w + 0*u**2 - u - 1. Find the first derivative of a(c) wrt c.\nAnswer: 2*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -152 (base 6) in base 16?\nAnswer: -44","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 17\/16956 and 46\/258579.\nAnswer: 1034316","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let a(b) = 29*b**2. Let i(s) = -5*s**2 - s**2 - 7*s**2 + 10*s**2. Give i(a(w)).\nAnswer: -2523*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*m - 60 = -4*o - 0*m, 0 = 2*o - 3*m - 40. What is the greatest common factor of 17 and o?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 30955 divided by 41?\nAnswer: 755","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is (-2)\/((-1)\/21*387\/86)?\nAnswer: 28\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w(j) be the second derivative of -6*j + 3\/2*j**2 + 0 + 5\/16*j**4 + j**3 + 3\/80*j**5. Let w(l) = 0. Calculate l.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 4140 and 7731450.\nAnswer: 2070","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*f**2 + 3*f**2 + 5*f**2 + (f**2 + 4 - 4)*(-3 + 0 + 2) - 8*f**2 + 10*f**2 + 10*f**2.\nAnswer: 17*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 2160\/(-88)*42592\/(-9680)?\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -50, -186, -412, -728?\nAnswer: -1134","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -6 in 0.3, 65\/7, 1\/17?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 26\/(-12) + 4\/24. Let j be (3\/f)\/((-2)\/24). Suppose -986 = -j*z + 16*z. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(z) = 18*z - 77. Let s be v(5). Suppose 168 = 34*o - s*o. Is o a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(v) = 7 + 1 + 8*v - 3*v. Let k(u) = 4*u + 7. Suppose 5*c - 2 = 43. Let x be (300\/c)\/(-5) + 8\/12. Calculate x*k(j) + 5*w(j).\nAnswer: j - 2","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 45334 is divided by 11329?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 828 and 759.\nAnswer: 9108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 182014915970 rounded to the nearest 1000000?\nAnswer: 182015000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let g(b) = -b**2 - 3*b + 6. Let x be g(-4). Let v be 25\/10 - (-1)\/x. Solve -n = -5*m - 1, -2*m - 4 = v*m - 4*n for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from oygly. Give prob of sequence gol.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let t(c) = c**3 + 3*c**2 - 5*c + 2. Suppose 3*q - 12 = -0. Suppose -2 = -5*l - 32. Let k be 10\/(-3) + q\/l. Calculate t(k).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -211231003 - -212113?\nAnswer: -211012230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 0 + (sqrt(468)*3 + 3 - sqrt(468) - sqrt(468) - (sqrt(416)\/(sqrt(392) - sqrt(8)) - sqrt(52)))**2.\nAnswer: 46*sqrt(13) + 6958\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 198\/(-132) + (-1)\/((-4)\/(-6)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -4 + 0. Let v(i) = 3*i + 9. Let d(g) be the first derivative of -g**2\/2 - 3*g + 6. Let n(w) = y*v(w) - 11*d(w). What is the derivative of n(o) wrt o?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(y) = -152*y**2 + 41*y - 23. Let t(f) = 27*f**2 - 7*f + 4. Calculate -6*p(a) - 34*t(a).\nAnswer: -6*a**2 - 8*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((d\/(d*d**(-2\/11)))**(-1\/22)*((d\/((d*d*d\/(d\/(d\/d**4)*d)*d*d)\/d))\/d)**(-33\/5))**(3\/8) assuming d is positive.\nAnswer: d**(-5997\/2420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -3, 18, 43, 66, 81, 82, 63?\n\"Answer: -i**3 + 8*i**2 + 4*i - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: -8 + 0 + 8 - -6\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 480377?\nAnswer: 19, 131, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let m(r) be the third derivative of r**5\/30 - r**4\/4 - r**3\/3 + 4*r**2. List the prime factors of m(5).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 14 divide 180342247?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 202 minutes before 5:43 PM?\nAnswer: 2:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1244 - 2585 + 1014)*(-3*t + t + 3*t).\nAnswer: -327*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 1936 - 1939. Which is the nearest to 2\/7?  (a) k  (b) -1  (c) -20\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -5800 to the nearest ten thousand.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1e (base 15) to base 11.\nAnswer: -27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*j = -5*f + 17, -12*j + 7 = -16*j + 3*f for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 234004 to the nearest integer?\nAnswer: 484","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 0.006 - -4.994. Let p = 0.7 - 1.2. Which is the fourth biggest value?  (a) p  (b) 1\/5  (c) -0.05  (d) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (21\/6)\/((-1)\/(-14)). Let j = 22 - -47. Let a = j - c. Solve 0 = 5*p - p + a, -t + 24 = -4*p for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(h) = -5*h**2 - 18*h - 2. Let t = -5552 - -5549. Determine p(t).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 681*f**2 + f*k - f - 7222*k with respect to f.\nAnswer: 1362*f + k - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 0.43 + 0.07. Let n = 3 - 4. Let g = 117.246 - 112.246. Which is the nearest to n?  (a) 4  (b) z  (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*l - 255 = 5*d, -3*l + d = -d - 264. Suppose -557 + 25 = 38*f. What is the remainder when l is divided by ((-391)\/(-51))\/(-2 + f\/(-6))?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(26) - (2*sqrt(260))\/sqrt(10)) + sqrt(26) + sqrt(26))\/(-1*sqrt(18)).\nAnswer: -sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*t - 4*u = 4, -5*u = -0*t + 3*t - 8 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 7536.5 + -7537. Which is the third smallest value?  (a) 0  (b) 0.431  (c) 1  (d) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 13.761 * -98.\nAnswer: -1348.578","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Put -269, -3, -4, 2315, 7 in decreasing order.\nAnswer: 2315, 7, -3, -4, -269","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 0 + sqrt(153) - -6*sqrt(17)*-1 - (sqrt(425) + (sqrt(425) + sqrt(425) + 3 + sqrt(425) + 2)**2).\nAnswer: -3850 - 158*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -110001100001 - -11111?\nAnswer: -110001000010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 496\/7?  (a) -0.4  (b) 0  (c) 24  (d) -2  (e) -5\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 312369.\nAnswer: 3, 104123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -36, -32, -26, -18?\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2367145?\nAnswer: 5, 11, 193, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 33653815 to the power of 1\/2, to the nearest integer?\nAnswer: 5801","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let j(q) = 7*q**2 - 40*q + 153. Let x be j(4). Solve 0 = -17*r - 37 + x for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((n\/(n\/(n\/(n\/(((n\/n**0)\/n)\/n)))))**(-1\/32)*n**(1\/3)*n*n**(-7))\/((n**(-1\/8)\/n**(-2\/3))\/(n**(-4)*n*n*n**8)) assuming n is positive.\nAnswer: n**(-17\/96)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 1485.111 litres in millilitres?\nAnswer: 1485111","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -6\/71 - -1582\/22081. Let n = 347\/2799 + a. Factor 0 + 2\/9*k - n*k**3 + 1\/9*k**2.\nAnswer: -k*(k - 2)*(k + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 33439.5 millilitres in litres?\nAnswer: 33.4395","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -166 - -165. Sort z, 0, 4, 7 in increasing order.\nAnswer: z, 0, 4, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*z + j - 60 = -9*z, 2*j = 6. Suppose z*q = 148 + 194. Calculate the highest common factor of 99 and q.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (1 + 4 - 1)*(-3*w - 2*w + 4*w) + 4687*w - 10693*w - 7245*w - 5881*w as x + r*w and give r.\nAnswer: -19136","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 104198?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let q(w) be the third derivative of w**5\/45 - 43*w**4\/108 + 7*w**3\/27 - 448*w**2. Solve q(k) = 0.\nAnswer: 1\/6, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -186 or 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 677 is divided by 40.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 62, 33, -20, -103, -222, -383?\n\"Answer: -x**3 - 6*x**2 - 4*x + 73","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1069784?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let k(h) = -h - 27. Let a be k(-18). Let d be ((-3750)\/a)\/((-1)\/(-54))*-36. What is d rounded to the nearest ten thousand?\nAnswer: -810000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, -2, 7, 13051, 38 in increasing order.\nAnswer: -2, 0, 7, 38, 13051","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -481 + 513. Let r be (2 + -1 + 3)*24\/x. Solve n = r*n - 9*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 88, 336, 764, 1372, 2160, 3128, 4276?\nAnswer: 5604","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 23001?\nAnswer: 3, 11, 17, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Convert 594.4526 millilitres to litres.\nAnswer: 0.5944526","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 0\/(0 + 0 + -3). Is x smaller than 2\/33?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 287*f**4 + 418*f**3 + 145*f**2 + 14*f = 0. What is f?\nAnswer: -1, -2\/7, -7\/41, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 1716 and 468.\nAnswer: 5148","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -15.5 from 14202.\nAnswer: 14217.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -49, -110, -203, -340, -533, -794?\nAnswer: -1135","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 0.1  (b) 1\/6  (c) 1\/9  (d) -3  (e) -1\/3  (f) 3.183\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 66811746011 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -881, -1439, -2085, -2861, -3809, -4971, -6389, -8105?\nAnswer: -10161","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 5910 and 13790?\nAnswer: 41370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2040620.\nAnswer: 2, 5, 102031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1211011212 (base 3) to base 2.\nAnswer: -1000110000001100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 0, 35, 1, -0.8?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -3\/50 and ((-84)\/(-80))\/7*-1*93\/(-36).\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((a**(-26)\/((a\/((a**11*a)\/a)*a)\/a))**(8\/3))**49 assuming a is positive.\nAnswer: a**(-6272\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 4764547 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*l = 4*l - 2. Let b = 1 + l. Solve b = -7*y + 2*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2354?\nAnswer: 2, 11, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (2\/((-6)\/3))\/((-2)\/4). Suppose l + 8 = w. Let h(s) = -10*s + w*s - 2*s - 6*s. Let z(o) = o**2. Give h(z(j)).\nAnswer: -8*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 10 - 11a45a?\nAnswer: -11a44a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: How many micrograms are there in 25\/4 of a milligram?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 3.1 - 3. Let p = 15.41 - 16.41. Which is the nearest to p?  (a) -0.018  (b) -5  (c) v  (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = o - 2*o + 4. Suppose o*s - 4*d - 76 = d, 2*d - 20 = -2*s. What are the prime factors of s?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 7734584 and 33.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -1103 + 1089 - (0 + 67)?\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -5 - -12 - (1 - (5 + -1 + -1))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 40.128+-242724\nAnswer: -242683.872","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*h + 23 + 89. Suppose 3*k = -k - h. Let p(d) = -d**3 + d**2 + 5*d - 5. Let g be p(3). Which is smaller: g or k?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.1?  (a) 4  (b) -5  (c) 0.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -8238\/13 + 634. Which is bigger: 0 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 414021 and 489?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*c + 15648 + 31177 = 5*m, 0 = -3*m - 5*c + 28126. Suppose -19*p + 35264 = m. What is the hundreds digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(q) = 7*q - 7. Let a be v(5). What is the common denominator of (a\/6)\/(-2 + 0) and (((-1305)\/(-108))\/(-29))\/(2\/(-28))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-16)\/34)\/(114\/((-168606)\/87))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6*b - 102 = -90 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 28 + 26 + -44 - 33?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*l + 0*l = 10 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let s(b) be the second derivative of -b**4\/2 - 93*b. Let l(c) be the first derivative of -2*c**3\/3 - 2. Give l(s(i)).\nAnswer: -72*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 80.1 + -80. Suppose 2*j + 2*n + 20 = 0, 9*n = 5*j + 4*n. Sort j, -1\/4, y in decreasing order.\nAnswer: y, -1\/4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(y) = y**3 - 2*y**2 - y + 3. Suppose 5*p = -0*p + 25, 3*b = 4*p - 11. Let l(c) = 34*c**2 - 34*c**2 - 3*c**b. Let a be l(-1). Calculate t(a).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.19 and -52510.188?\nAnswer: 9976.93572","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is c933 (base 16) in base 6?\nAnswer: 1034243","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k(u) = -26506*u**3 - 19*u**2 + 7*u + 11. Is k(-2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(m) = -6*m + 41. Let y be p(5). Let u be 290\/(-30) + 9 - y\/(-3). Solve 0*b - 16 = 4*b, u*l = 4*b + 31 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(b) = -381780*b - 10. Let v be j(7). Let r = v + 37444633\/14. Let t = 2142 - r. What is the common denominator of 47\/8 and t?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1643.7561 rounded to the nearest 100?\nAnswer: 1600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 782 a multiple of 46?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -121013\/200 + 4857\/8. Let t = 45963 - 2298229\/50. Find the common denominator of t and c.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(g) = 7*g + 2. Let h(q) = -13*q - 4. Let w(d) = -6*h(d) - 11*t(d). Let m be w(1). Suppose m*u = 7 + 5. Which is smaller: 19\/5 or u?\nAnswer: 19\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(a) = -3*a**4 - 2*a**2 - 9*a - 2. Let g(b) = -5*b**4 - 5*b**2 - 19*b - 5. Let f(i) = -2*g(i) + 5*s(i). Find the second derivative of f(d) wrt d.\nAnswer: -60*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -14 - -36. What is the tens digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -4 - -4. Suppose y = g + 1 - 12. Let b be (-192)\/(-88) - 2\/g. Sort b, -5, 0 in ascending order.\nAnswer: -5, 0, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-1689)\/563)\/((-60)\/26)*42\/(-21)?\nAnswer: -13\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l(m) = 48*m + 151. Let v be l(-3). Let h(g) = -9*g**2 - 8*g - 7. Let p(r) = 8*r**2 + 7*r + 6. Calculate v*p(t) + 6*h(t).\nAnswer: 2*t**2 + t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 352 a factor of 37429758?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 179662 is divided by 903?\nAnswer: 868","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 11 + (-1 - (4 + -9)) + 2 - 8.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m(t) = 4*t**2 - 179. Let d be m(8). Solve 3*w + 1 = -2*n, -2*w - 74*n + d*n = -21 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 465124 and 487630.\nAnswer: 30233060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 52818 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -33 divided by -5.\nAnswer: 33\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*x + h = x + 35, 3*x + h + 125 = 0. Which is smaller: -36 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 154751805 a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 49\/358 and 81\/4.\nAnswer: 716","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let n(d) = d**2 + 9*d - 4. Let i(o) = -o**2 + 3*o + 8. Let u be i(6). Let f be n(u). Calculate the highest common factor of 12 and f.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1\/15, 1, 163.82.\nAnswer: -1\/15, 1, 163.82","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 95 - 530. Calculate the least common multiple of 30 and z\/(-12) + -3*(-6)\/(-72).\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-248)\/(-434))\/((-2)\/(-63))?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"}
{"text":"Question: Expand (1 - 3 - 10*o**3 + 4*o**3)*(-3 + 3 - 2*o) + o**2 - o**4 - o**2.\nAnswer: 11*o**4 + 4*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 1931 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*z - d - 11, -2*z - 4*d + 0 = 8. Suppose 5*j - 82 = -2*x, -x - 3*x = 2*j - 20. Suppose -z*v + j = -22. Does 10 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from xyxnpxjyynhnxyyypny. What is prob of sequence hn?\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 316448 a multiple of 496?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 608608 a multiple of 608?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Round -10523.8 to the nearest 10.\nAnswer: -10520","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Convert -2423c3c (base 14) to base 16.\nAnswer: -107f1ae","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*k + 4*k = 64. Let t = k + -11. What is the nearest to 0.1 in t, -2, 4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -246 = -3*f - 3*v, 0*v + v = 5*f - 416. Let s(u) = -3*u + 3. Let i be s(0). Suppose i*y + 11 - f = 0. What is the units digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 936 = -2*d - 4*j, -756 = 3*d + 3*j + 639. Let h = -329 - d. List the prime factors of -3 + h + (6 - 2).\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 5.981 to the nearest integer.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let j(p) = -14*p**3 - 1507*p**2 - 8*p + 2833. Let y(h) = -5*h**3 - 502*h**2 - 3*h + 944. Let z(s) = -3*j(s) + 8*y(s). Find the first derivative of z(l) wrt l.\nAnswer: 6*l**2 + 1010*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 9 - 6. Let z = -0.48 + 0.08. Which is the biggest value?  (a) -3  (b) z  (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 5160 is divided by 199?\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Express -2 - 2*k**4 - 520*k**3 + 518*k**3 + 837*k + 2*k**2 - 836*k in the form f*k**3 + r*k**2 + l + o*k**4 + v*k and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: -2.53 * 0.1\nAnswer: -0.253","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, 518, 9134, -1 in increasing order.\nAnswer: -1, 2, 518, 9134","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 21*c - 56*c + 9*c - 28*c - 50*c.\nAnswer: -104*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1158594512.\nAnswer: 2, 8353, 8669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: -54b9 (base 12) to base 14\nAnswer: -35a5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -16688, -23150, -29612?\nAnswer: -36074","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 53861 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 512\/(-48)*(3\/2 - 0)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -58 - -84. Let g(z) = -z**2 + 35*z + 12. What is the tens digit of g(v)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 114559 to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Sort -12, 5, -496 in descending order.\nAnswer: 5, -12, -496","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -21*j**5 - 14*j**5 + 7223*j + 36*j**5 - 18*j**3 + 3*j**2 - 2214*j - 2 wrt j.\nAnswer: 20*j**3 - 108*j + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4339 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 293 - 787?\nAnswer: -494","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -6712955675889.520109 - -6712950968485. Let p = 4707610.52 + m. Let d = 206 - p. Round d to five decimal places.\nAnswer: 0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(w) = -2*w**2 + 3*w + 1. Let c(z) = z**2 - z. Let a = -7 + 9. Give a*b(g) + 5*c(g).\nAnswer: g**2 + g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -12*o + 10*o + 2*m + 106, -5*o + 267 = -4*m. Let n = 29 + 63. Let q = n - o. Is 6 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((-2*sqrt(66))\/sqrt(3))\/(sqrt(18)*5))**2 - -5*(1*sqrt(1100) - sqrt(1100)).\nAnswer: 44\/225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let k(w) = 11*w + 8. Let y(j) = 13*j + 8. Let s be 20\/(-12)*(-90)\/25. Let m(i) = s*k(i) - 5*y(i). What is m(-14)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 0, 4, -351291 in decreasing order.\nAnswer: 4, 0, -351291","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 94 a factor of 1398344?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"}
{"text":"Question: Put 1, 129, 3\/8, -0.1, 3 in decreasing order.\nAnswer: 129, 3, 1, 3\/8, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 67793 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -138 = -3*n - 51. Let o = -4 + n. What is the units digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -304 - -571. Let j = 172 - g. Let f = j + 164. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(y) = -43*y. Let u(l) = -758*l. Give g(u(v)).\nAnswer: 32594*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let a(j) = -5*j + 16. Calculate a(7).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -1457 and -88.\nAnswer: 128216","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(208)\/sqrt(8) + sqrt(26))\/sqrt(2) + (2*sqrt(13)*-5)**2.\nAnswer: 2*sqrt(13) + 1300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -d**2\/4 + 293*d\/2 - 85849\/4 = 0.\nAnswer: 293","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let u(s) = 39*s**4 + 15*s**2 - 27*s - 15. Let p(k) = k**2 - k - 1. Let c(m) = -15*p(m) + u(m). Find the second derivative of c(y) wrt y.\nAnswer: 468*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 2 - -1*(-2 - -5). Solve 0 = 2*t + 2*r + 4, -n*t + r - 28 = -0*r for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth smallest value in 4, -1, 0.4, -1.9, -685, -3.6, 1\/11?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -249.983 + 250. Which is bigger: -1\/4 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -197 + 1205. Suppose 0 = -7*y + 15*y - j. What is y rounded to the nearest ten?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {q: 7, a: 3, x: 4, c: 2, k: 1}. Give prob of sequence ca.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 40\/(-12)*9\/((-2430)\/(-6))?\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 g and 2 b when four letters picked without replacement from {g: 4, b: 7}.\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -694062*k**5 + 4649*k**2 - 43*k wrt k.\nAnswer: -41643720*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -128, -509, -1148, -2057, -3248, -4733, -6524?\n\"Answer: -2*c**3 - 117*c**2 - 16*c + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 22484 a multiple of 308?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -101 + 56 = -18*o + 117. Solve 0 = -3*w + 3*v - 12, -4*v - 2 - o = 5*w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 501 minutes after 11:21 AM?\nAnswer: 7:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 23670 and 149910.\nAnswer: 449730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of -4 - -2 - (-5)\/1 and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n\/n**(-2\/7)*n)**(-1\/8)*n**3\/n*n\/(n**1*n) assuming n is positive.\nAnswer: n**(5\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let s(c) = 62*c + 505. Let l be s(-8). Solve -l*k + 5*k - x = 13, 4*k + 4 = -4*x for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(f) = f**3 - 5*f**2 - f + 2. Let i(d) = -2 + 9 + 2*d - 4 + 4. What is the remainder when s(6) is divided by i(5)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -3 - -4. Let p be -5 + 3 - (h - 15). Solve t + p = -4*r, t + 0*r = r + 8 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 63 + -60. Suppose 42 = 5*o - 18. Let v = 8 - o. Sort k, 1, v in increasing order.\nAnswer: v, 1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1808 = 268*c - 10147 + 699 for c.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -697956 or -697964?\nAnswer: -697956","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Are -13\/60979 and -1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 52058 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 1582, 6316, 14206, 25252?\nAnswer: 39454","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 2\/5, -0.3, 2095, -3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 3118342, 6236696, 9355054, 12473416, 15591782, 18710152, 21828526?\n\"Answer: 2*k**2 + 3118348*k - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 685\/7 + -98. Let m be (-85)\/(-25) - 1*3. What is the second biggest value in u, m, 1?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 21652755.\nAnswer: 3, 5, 1443517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 17 + -12 + (0 - 0). Suppose -a*c - 3*v + 18 = -14, 0 = -2*v + 8. What is the least common multiple of c and 58?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v*v*v*(v\/(v\/(v\/(v**2*v*v))))\/v*v)\/v*v\/(v\/v**8)*v*v**(-6)\/v*v**(-2\/9)*(v*v**(-2\/9)*v**(2\/3)*v)**(-11) assuming v is positive.\nAnswer: v**(-235\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let s(d) = -19*d + 1484. Calculate s(78).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, -9, -10 in ascending order.\nAnswer: -10, -9, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 5590513 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -2*k**4 + 5*k**3*v + 3*k**2*v**3 + 10*k + v**3 + 19 wrt k.\nAnswer: -24*k**2 + 30*k*v + 6*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 0.69 + -0.8. Let w = 0.154 + r. Round w to two decimal places.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1996d (base 16) to base 12\nAnswer: -507a5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 516388295945 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 2 - ((2 - (6 - 11)) + 6)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -10110 - -10101001001111010?\nAnswer: 10101001001100100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -t + 5*g - 35 = -6*t, t - 2*g + 5 = 0. Suppose -t*x - 15 = -b, -3*b + 2*x - 10 = 4*x. Is 24 a factor of -1 - (-50 + 1 + b)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -101765688 divided by 50882844?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:53 PM and 2:30 AM?\nAnswer: 337","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 52 - 50. Let k(t) = 5*t + 5*t - 9*t - 9 + t**y. Is k(-8) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 14 - 18. Let p be -3 + 1 + (-2 - u). Sort 2\/5, 0.02, p.\nAnswer: p, 0.02, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(l) = 555*l + 844. Let t(q) = 562*q + 846. Let c(a) = 6*t(a) - 7*x(a). Differentiate c(r) with respect to r.\nAnswer: -513","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -3 - (-2 - (-11 + 3 - -16)) - 14.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*d - 4*w - 2 = 0, -9*d - 37 = -w + 29 for d.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -1 - -2. Let b = -2 - -6. Let f = 4.1 - b. What is the closest to c in 1\/3, f, 0.3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -22  (b) 523  (c) 0.1  (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 860 + -856. Suppose 4*j + o = 11, 0 + 5 = -o. Suppose 3*n + p = 304, w*p + 138 = j*n - 278. What are the prime factors of n?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -173 - -239. Suppose 209 = 5*j - 11. Calculate the highest common divisor of w and j.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 42517447?\nAnswer: 7, 359, 2417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -80 - ((-4 + -14 + 13 + 9 - 8) + 8)?\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 25602 and 510.\nAnswer: 128010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 0.4, 5, 2, 5\/142?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 10*a**6 + 5*a**2 + 43*a**2 + 5*a**2 + 7*a**2 wrt a?\nAnswer: 1200*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((r\/r**(12\/11))\/r*r)\/(r\/((r**(-1)*r)\/r*r)*r) assuming r is positive.\nAnswer: r**(-23\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 3*(-2 - 70\/(-15)) + -2. Solve 0 = -3*y + 4*k - 23, -2*y + 29 = -m*y + 5*k for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 11983 is divided by 26?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: -3 + (3 + -3 - 0) - -3\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert 5592 (base 15) to base 10.\nAnswer: 18137","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 9, 7, 829, 337?\nAnswer: 337","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: 0.027*-1.453416\nAnswer: -0.039242232","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Do -2634\/11 and -239 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -4883 times -2949?\nAnswer: 14399967","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 161, 639, 1433, 2543, 3969, 5711, 7769?\nAnswer: 10143","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 2207 + -2162. What is the remainder when d is divided by 34?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 70 and 826?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let t be ((-35)\/3)\/(145\/15 - 10). Let j(k) = -21*k + t*k - 14*k - 8*k**2. Let f(r) = 42*r. Calculate f(j(v)).\nAnswer: -336*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let q(a) = 5916*a - 70996. Calculate q(12).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.197 times 0.5?\nAnswer: 0.0985","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 423552?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: 0.03 * -0.04\nAnswer: -0.0012","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*w = 71 + 10. Let j = -17 - w. Let c = -2 + 8. Calculate the lowest common multiple of j and c.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 9026?  (a) -0.2  (b) 13  (c) -3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Convert 123002021201 (base 4) to base 10.\nAnswer: 7086689","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (3\/(-20))\/((72\/324)\/(24\/9))?\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 12 + -2 + (1 - ((25 - 1) + -2)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -4, 43, 96, 155?\nAnswer: 220","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 70 - (-4 + 2) - -4. Let n(c) = -c**3 + 13*c**2 - 12*c + 6. Let f be n(7). Let i = f - x. What are the prime factors of i?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -1554, -1542, -1526, -1506, -1482, -1454, -1422?\nAnswer: -1386","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 19537064 to the power of 1\/5, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let r(c) = 6*c + 0*c - c - 2. Let w be 10\/((-2)\/(-4)*2). Let a be 5\/w*(4 - 0). Give r(a).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 109\/48290 and -181\/9240.\nAnswer: 4056360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.435, 45, -2, 3, -0.5, -3 in descending order.\nAnswer: 45, 3, -0.435, -0.5, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 1176795 and 3632715.\nAnswer: 83552445","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: 7 (base 15) to base 13\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-8)\/10 - (-78)\/60.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -636892 or -2547565\/4?\nAnswer: -636892","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 + -105 + -8089 + 8242?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j(v) = -6*v + 22. Let x be j(5). Let s be x\/(-16) - (-5)\/2. Solve s*p + 8 = -p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 18*i - 6*i + 6*i - 851 + 0*i + 432 + 424.\nAnswer: 18*i + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 3\/(54\/(-4)) + 179\/((-48330)\/6420)?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1945?\nAnswer: 5, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let p(d) = 18595*d - 185822. Calculate p(10).\nAnswer: 128","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (2 + (-9)\/6)\/(85\/(-340)). Is j less than 1\/38?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 5*o**3 - 11*o**3 + 7*o**3 - 24 - 4*o - 15*o**2 + 2*o**2 + 14*o**2 to u*o**3 + h*o + q*o**2 + p and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 2356103, 4712207, 7068311, 9424415?\n\"Answer: 2356104*s - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 2 + (-62952)\/5244 + 10 and -15\/209.\nAnswer: 4807","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 f when two letters picked without replacement from {m: 5, f: 7}?\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 111381906?\nAnswer: 2, 3, 18563651","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 25 + 3120?\nAnswer: 3145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((2 + sqrt(1900))*-5 + sqrt(1900) - (sqrt(304)*-4 - sqrt(304))*6)**2.\nAnswer: -1600*sqrt(19) + 121700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 25 + 10936?\nAnswer: 1095b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 386640.\nAnswer: 2, 3, 5, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 295734 to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.14 in 4, 2, -0.11, 298, 184?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 2.2 or -9?\nAnswer: 2.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4*((sqrt(637) + 2)**2 - sqrt(637)).\nAnswer: -2564 - 84*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Convert 486207 (base 9) to base 14.\nAnswer: 78c0b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 311228148 to the nearest integer?\nAnswer: 17642","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*d + 40 - 127 = 4*z, -z = -d + 13. Sort -4, 5, z in ascending order.\nAnswer: z, -4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((x**(-1)*x)**(-13)*(x\/(x**(-8\/7)\/x))\/x**2)**36 assuming x is positive.\nAnswer: x**(288\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is -1a128e (base 15) in base 10?\nAnswer: -1269584","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 7008.725 meters in nanometers?\nAnswer: 7008725000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: 1379 divided by 1\nAnswer: 1379","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -48 + 67. Let c be (1 - 2) + (d - 6). Solve -2*w + c = 4 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*k**3 + 2*k.\nAnswer: -2*k*(k - 1)*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand (l - l - l + (1 - 2 + 0)*(-4*l + 3*l - l) + l + 0 + 0)*(5*l**4 - 55*l**3 + 55*l**3).\nAnswer: 10*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1.9?  (a) -0.2  (b) 0.05  (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-10)\/(1\/(2\/(-4))). Suppose 3*p - 10*k + 138 = 11*p - 6*p, 0 = -4*k + 52. Solve 0 = q*l - 6*l, -4*w + p*l + 20 = 0 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 4\/3  (b) 0.06334  (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: 323440 (base 7) to base 4\nAnswer: 31302130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k(n) be the third derivative of 0*n**3 + 0*n - 1\/24*n**4 + 0 - 1\/60*n**5 + n**2. Let q be k(0). Solve q*p + 12 = -p - 4*i, -p = 5*i + 16 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(i) be the second derivative of -4*i**6\/5 + i**3 + 3*i**2 - 101*i. Find the second derivative of a(u) wrt u.\nAnswer: -288*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 128 a factor of 1344123?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -9, -28, -73, -156, -289, -484?\nAnswer: -753","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -8*w = -7*w + 12 - 16, 842 = 16*o + 3*w + 14 for o.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-231)\/(-7)*(-20)\/(-60)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 1.624 + -0.324. Which is greater: -59 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-33*v**3 + 159 - 159)*(-637*v + 90*v + 259*v) as d*v**2 + g*v + s*v**3 + p*v**4 + z and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 1\/3  (b) -548  (c) -0.11  (d) 14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let p(c) = 10*c**2. Let w(y) = 25*y. What is w(p(z))?\nAnswer: 250*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -3, -0.3, -3\/7, -5, -0.8?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is (5 + -17)*1\/3?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 1, -0.2, -486, 1\/8, -86?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let v(t) = t - 6. Let o be v(7). Let x be -2 + o + (2 - 6). Let q(l) = -l**3 - 3*l**2 + 6*l + 3. What is the remainder when q(x) is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -667*m = 50*m + 29397 for m.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let h(r) = r**3 + 8*r**2 + 3*r - 23. Let c be h(-7). What is the third biggest value in 1, -0.3, 4, c?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 6650596?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 12\/55 and -19\/275?\nAnswer: 275","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -6.96 - -7.06. What is the nearest to -0.1 in w, -22, 5?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -205 - 19 = -6*z - 86. Calculate the highest common factor of 5267 and z.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2047 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -135 = -f - 16. Suppose -5*b - 2*t + 298 = 0, -3*t + 4*t = -2*b + f. Let r be 76\/b - (-2)\/(-3). Which is smaller: 2 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -l**3 - 8066913 + 8066913 + 185*l**2.\nAnswer: -l**3 + 185*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 16428 and 47292.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 9558211?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from skknnnkk. What is prob of sequence skkn?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let b(y) = -y**3 - 7*y**2 - 3*y + 3. Let s be b(-6). Let t be 26\/10 - 6\/s. Suppose -3*h + 2*h**2 - h**2 + 3*h - h**t = 0. What is h?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: 45*0.2\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -56*d**3 + 209*d**2*n**2 + d*n**2 + 82214*n**2 wrt d?\nAnswer: -168*d**2 + 418*d*n**2 + n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is -0.62 greater than 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 173693954 to the nearest integer?\nAnswer: 558","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from eqfvvf. What is prob of picking 1 q and 1 f?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let a be -14 - (2 + (-5610)\/350). Let g(y) be the second derivative of 0*y**3 + 0 - a*y**5 + 0*y**2 + 6*y + 1\/7*y**4. Factor g(s).\nAnswer: -4*s**2*(s - 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(a) = -a**3 - 14*a**2 + a. Let n be l(-13). Let g = 350 + n. Does 21 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z**(16\/7)\/(z\/(z\/(z\/z**(-2\/21)))*z)*(z**(3\/19))**(19\/3))**(-2\/103) assuming z is positive.\nAnswer: z**(-50\/2163)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*j = -a + 7, 4*j + 2*a + 9 = 3*a for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let g(c) = 4*c + 38. Let n be g(-11). What is the second smallest value in -0.4, 4, n?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -54 + 60. Let p be 0*((-2)\/(-2) - 8\/f). Suppose -6*u + 7*u - 5 = p. What is the greatest common divisor of 15 and u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1454?  (a) 0.08  (b) -1\/2  (c) 21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Divide 3116 by -4.\nAnswer: -779","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let y(q) = -q**3 - 8*q**2 - 16*q - 68. Let j be y(-7). Let f = 0.45 - 0.05. Put -4, j, f in ascending order.\nAnswer: j, -4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 462 minutes before 8:59 PM?\nAnswer: 1:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -s - 23*s + 51912 = 0. Let u = s + -1262. What is the hundreds digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*q - 5 = q. Let r(v) = 3 - v**3 - q*v + 0*v**3 + 5*v**2 + 0. Give r(3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*f = 4*q - 101, 5*f = -5*q + 116 + 49. Differentiate -11*g - f*g**4 + 19*g - 8*g + 25 with respect to g.\nAnswer: -124*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -23, -62, -119, -194, -287, -398, -527?\n\"Answer: -9*c**2 - 12*c - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -22*b + 24*b = -6, -2*s + 5*b - 551 = 0. Is -283 at most s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 15*y - 12*y - 7 = 2*l, 0 = -3*l - 2*y + 22 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (8\/(-56))\/(1\/4)*(-1624)\/(-57072)?\nAnswer: -2\/123","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5613*j + 386033 - 43640 = 0 for j.\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 981130326?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -267*-2*11\/(-396) - -15.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 1302, 1030, 570, -78, -914, -1938?\nAnswer: -3150","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (20 + 9 + 12)*(3*i - 2*i + i + i + 2*i - i - 3*i + 5*i - 4*i + (-i - 1 + 1)*(1 + 0 - 3) + 3 - 3 - i + 5 - 5 + 2*i - 2 + 2 - i).\nAnswer: 164*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3192 is divided by 268?\nAnswer: 244","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*k + 3 = -6. Suppose -14 = -k*j + 1. Solve j = 4*a + 17 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 12 a factor of 408?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 - -6 - (8 + -7 + 0 + 26)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r(a) be the second derivative of -19*a**6\/2 + a**3\/6 + 235*a**2\/2 - 583*a. What is the derivative of r(p) wrt p?\nAnswer: -1140*p**3 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 29 divide 5800?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -10278 in 9, 0.5, 2, 5\/7, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Put -81, -2, 4, -3, -10, 19 in ascending order.\nAnswer: -81, -10, -3, -2, 4, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -143 - -148. Calculate the smallest common multiple of 5 and (-3 - (-2 - x)) + 6.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-20)\/156)\/((-35)\/(-14)).\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -6c41e0 (base 15) to base 7\nAnswer: -62003202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 104298?\nAnswer: 2, 3, 17383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 668, 3178, 7362, 13220, 20752, 29958?\n\"Answer: 837*g**2 - g - 168","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: 10 divided by 1443\nAnswer: 10\/1443","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 192 and 2364.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 20\/70 - (-26730)\/35. Are 764 and a nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*t + 4*f + 1599, 484*f - 488*f - 642 = -2*t. Suppose -5*c + 270 - 110 = 0. Calculate the remainder when t is divided by c.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.05?  (a) -1\/8  (b) 1\/4  (c) 53786  (d) -3  (e) 3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is -9499 rounded to the nearest 1000?\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -238*o - 798 = -104*o - 115*o for o.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let n(h) = 2*h**2 - 37*h + 44. Give n(17).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:26 AM and 8:50 AM?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let m(f) = f**3 + 2*f**2 + 5*f - 2. Does 29 divide m(3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5 = -z, 86665 + 1095 = 5*p - z. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(h) = 20*h - 1. Let r(i) = -3*i**2 - 140*i - 4. Let y(u) = -r(u) - 6*z(u). What is y(-7)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1 + (sqrt(50) + sqrt(50)*3)\/sqrt(10)*3 + 3 + -2.\nAnswer: 2 + 12*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 69171 to the power of 1\/3, to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1379*c**2 - 7*c**3 + 1379*c**2.\nAnswer: -7*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 759803 is divided by 57?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1825.1*-2.3.\nAnswer: 4197.73","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 3  (b) 5  (c) 465  (d) 0.5  (e) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let t(q) be the second derivative of -9*q**5\/10 - 19*q**4\/3 - 44*q**3\/3 - 8*q**2 + q. Factor t(m).\nAnswer: -2*(m + 2)**2*(9*m + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 980.6 + -981. Let j = 0.032 - -0.068. Which is the closest to -1?  (a) l  (b) 8  (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -0.9 + 3.9. Sort u, -2\/11, -3 in increasing order.\nAnswer: -3, -2\/11, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: 2121044 (base 5) to base 4\nAnswer: 20232332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 - 3 + 3)*(21*r - 27*r - 50*r) - 5 + 5 - r + r - 2*r - 2*r.\nAnswer: -172*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -641 - -1035. What is the units digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:08 AM and 7:54 AM?\nAnswer: 166","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let j(t) = t**3 + 6*t**2 - 2*t - 9. Let c be j(-5). Suppose -5*n + 9 + c = 0. Suppose 30 = n*g - g. Solve 2 = g*p - 3 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 29 divide 4872?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: -9511062 divided by -29909\nAnswer: 318","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Convert 9.181 millilitres to litres.\nAnswer: 0.009181","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2305586?\nAnswer: 2, 1152793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 19614 + -19262. Calculate the least common multiple of 4664 and p.\nAnswer: 18656","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(o) = 10*o - 5. Give t(-1).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 v and 1 q when two letters picked without replacement from pvqpvvyv?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1 + -5 - (-238 + -10)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 16*f**2*m**2*u**2 - 2*f**2*m*u - 3*f**2*u**2 - m**2 - 6*m*u + 2*m wrt u.\nAnswer: 32*f**2*m**2 - 6*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let i(z) be the second derivative of -z**5\/20 - 13*z**4\/12 - 7*z**3\/6 + 13*z**2\/2 + 85*z. What is i(-12)?\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (0 + 20 + 0 - -12) + -14?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -335203022 + -100?\nAnswer: -335203122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 28\/3 of a hour in minutes?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 20*x**3 - 36*x**3 + 17*x**3.\nAnswer: x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 66, 57, 38, 3, -54, -139?\n\"Answer: -d**3 + d**2 - 5*d + 71","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((a\/(a*a**5))\/(a\/(a*a*a\/a**(-34\/7))))\/((a\/(a\/(a\/(a**25\/a*a*a))))\/a**(2\/13)))**9 assuming a is positive.\nAnswer: a**(22122\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -261, -259, -243, -207, -145, -51, 81?\n\"Answer: z**3 + z**2 - 8*z - 255","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 s and 1 o when two letters picked without replacement from {s: 2, o: 1, x: 2}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Determine b so that -5*b**4 - 905*b**3 - 33905*b**2 - 152655*b - 176850 = 0.\nAnswer: -131, -45, -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 5614 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 39*(4\/6)\/1. Let i(t) = -t**2 - t + 15. Let n be i(-20). Let l = n + 369. Solve 5*v + 32 = -l*m, 3*m + 5*v + q = m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-1 + (2 - 1))*-1. Suppose m = -3*z + 2*u + 10, 3*z + u = z - 5. Let s be z + 0 - 0\/(-1). Solve 2*h + 5*c = 4, s*h - 3*h - 19 = -5*c for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 4\/12*9 - 8. Let d be (53 - -4 - c) + (2 - 0). Calculate the greatest common factor of 48 and d.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -80  (b) 3.7  (c) -2\/3  (d) -1  (e) -0.04\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.000488848613 rounded to 5 dps?\nAnswer: -0.00049","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Put -85, 5, 38, -2, 0, -4 in descending order.\nAnswer: 38, 5, 0, -2, -4, -85","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let t(c) = -c**2 + 34*c - 79. Let m(x) = x**2 - 7*x + 2. Let a be m(7). What is the remainder when t(31) is divided by a\/(-7) - (-58)\/7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 127\/29440 and 85\/11104.\nAnswer: 10215680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 623 minutes before 12:13 PM?\nAnswer: 1:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 954b + 4?\nAnswer: 9551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let z(u) = 2072*u - 5481. What are the prime factors of z(23)?\nAnswer: 5, 7, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n\/(n\/((n\/n**(2\/15))\/n)))\/n*n**(-32) assuming n is positive.\nAnswer: n**(-497\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 44835 to the nearest integer?\nAnswer: 212","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -66 = 2*o - 60 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 63027?\nAnswer: 3, 47, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -60 = -5*s - 2*y, s - 3*y = 19 - 7. Let g(p) = s*p - 4*p + 2 + 2*p - 11*p. Let a(i) = 2*i - 2. Determine -2*a(c) - 3*g(c).\nAnswer: -c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let f(p) = p + 1. Let n(d) = d**2 - 11*d + 2. Let v(b) = -4*f(b) - n(b). Suppose -2 = -2*s + 8. Calculate v(s).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 238 (base 10) to base 15\nAnswer: 10d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 1367 - 1367.0000002015. Round m to seven decimal places.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(p) = 4071*p + 818244. Determine t(-201).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {o: 1, a: 2, p: 2, x: 4, s: 1, m: 5}. What is prob of picking 1 o and 2 x?\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: -2*((-21)\/(-2 + 5) - -5)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(d) = -d**3 - 5*d**2 - 7*d - 8. Let k be m(-4). Suppose 0 = k*x + 2*r - 46, -r + 2 = 3. Solve 2*h = 7*v - 2*v + 20, x = -3*v - 4*h for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3116 is divided by 71?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 70076 to the power of 1\/2, to the nearest integer?\nAnswer: 265","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:42 AM and 12:58 PM?\nAnswer: 496","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 c and 1 j when two letters picked without replacement from vnjcczs.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 204\/130 + (-52)\/65. Which is greater: 1 or z?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(q) = -6*q**2 - 2*q + 9. Let n = 15354 + -15359. Let w(m) = 3*m**2 + m - 5. Determine n*w(l) - 3*r(l).\nAnswer: 3*l**2 + l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let p(t) = 83*t**2. Let r(m) = -9*m. Let i(f) = -22*f. Let y(a) = -6*i(a) + 15*r(a). What is y(p(x))?\nAnswer: -249*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7 = -n + 12 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 244, 272, 306, 346, 392, 444?\nAnswer: 502","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 309863 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*u + 2*u - 307 = 5*r, 2*r = 5*u - 736. Let j(c) = u*c**2 - 74*c**2 - 74*c**2. Let v(i) = -19*i. Give v(j(q)).\nAnswer: 38*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*r - 4*p = p - 12, -5*r + 3*p = 4 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 6393343?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 13387451.\nAnswer: 7, 11, 37, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2*(-4*(sqrt(704) + (-2 + sqrt(704) - sqrt(704)) + -1 + sqrt(704) + 2))**2.\nAnswer: -90144 + 1024*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 73077*c - 2485 = 73574*c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -115*z**3 + 7*z - 6*z + 8*z**3 to the form t*z**2 + b*z + g + f*z**3 and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 347478 - 347478 + 4165*t.\nAnswer: 4165*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let f(w) = 10*w**2 + w**2 - 15*w**2 + 11*w**2. Let g(o) be the first derivative of 3*o**2\/2 - 2. Give f(g(x)).\nAnswer: 63*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_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 j(p) = -p**2 - 2*p - 6. What is j(5)?\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let a(w) = -w**2 - w - 6. Calculate a(0).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is -11864000 rounded to the nearest 1000000?\nAnswer: -12000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 33247*s**2 + 10*s + 128 wrt s.\nAnswer: 66494","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 7261?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -4\/121  (b) 22  (c) -0.3  (d) -4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 x, 1 p, and 1 h when three letters picked without replacement from {h: 1, w: 1, x: 1, p: 1, g: 1, n: 2}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is -3 (base 16) in base 9?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -163 - -231. Suppose 65*v = t*v. Solve 4*j - j + 15 = v for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sum -55368.393 and 0.4.\nAnswer: -55367.993","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 8 + 198530*f - 198531*f - 8.\nAnswer: -f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 15 = l + 2*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 6?  (a) -9  (b) -0.5  (c) 1  (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let u(m) = 3*m. Let w(g) = 194*g**2 + 7. Let a(k) = 65*k**2 + 2. Let r(i) = 7*a(i) - 2*w(i). Calculate u(r(c)).\nAnswer: 201*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Convert 13.11127 centimeters to meters.\nAnswer: 0.1311127","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2 + -4*(sqrt(11) + 0))**2 - ((sqrt(704) - 3*sqrt(704)) + sqrt(704))**2.\nAnswer: -524 - 16*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 35741, 71510, 107279?\nAnswer: 143048","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i(s) = -s**3 + s**2 - 13*s + 21. Let t be i(11). Let h be (-6 - t\/225)*(-5)\/3. Solve -4\/15*o**4 + h*o**3 + 0 - 2\/15*o + 4\/15*o**2 = 0 for o.\nAnswer: -1, 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(i) = -2*i**3 - 3*i**2 + 22*i + 41. Calculate r(-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 23507370 a multiple of 1710?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*f - 1018 = -3*s, -684 = -2*s - 398*f + 394*f. Solve -18*k = -s + 380 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-27)\/(-85) - 26\/221.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: 1b (base 14) to base 4\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p(o) = 17*o. Let v(h) = 2*h + 3. Let n(z) = z + 1. Let x(k) = 3*n(k) - v(k). Give p(x(s)).\nAnswer: 17*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let l(c) = c**2 - 2*c + 6. Let i(w) be the second derivative of -w**3\/6 - 5*w**2\/2 - 39*w. Let o be i(-9). Calculate the remainder when l(o) is divided by 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 1790\/23 or 77?\nAnswer: 1790\/23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 5 + -716301?\nAnswer: -716274","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 59 = 9*u - 13. Let s(h) = h - 5. Let g be s(u). Suppose 5*q = -3*j + 56, g*q + 16 = j + 2*q. What is j rounded to the nearest 10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"}
{"text":"Question: Express 20*v - 39*v**3 - 48*v**3 - 26*v**3 - 172*v**2 + 114*v**3 in the form i*v**2 + q + c*v + w*v**3 and give i.\nAnswer: -172","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 18 divided by 9?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(3) - (sqrt(3) + 4 + -3) - sqrt(6)\/sqrt(2)*1)**2 + 2 + -1 + -4.\nAnswer: 1 + 2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 6*u**3 + 1110*u**2 + 9494*u wrt u?\nAnswer: 36*u + 2220","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0*z**2 + 4*z**2 - z**2 - 14*z**2 + 21 + 15*z**2 - 12 + (-z + z + z)*(-2 + 2 + z).\nAnswer: 5*z**2 + 9","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let a(u) = u**2 + 2*u + 5. Let i be a(-3). Let p(b) = -4*b + b - i - b + 3*b - b**3 - b**2. Calculate p(0).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -1 > -45\/69232?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -c = 5*k - 17, -2*k + 3*k = 5*c - 7. Let y(p) = -4 + 0 - 2*p - 2 + 6*p**c - p**3. What is the units digit of y(5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -263*n**3 + 3172*n**2 - 3123*n - 347 wrt n.\nAnswer: -1578*n + 6344","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 7\/5?  (a) 1\/11  (b) 0.4  (c) -3\/14  (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -88*g + 87*g + 2 = 0. Let c(n) = 5*n - 11*n**2 - 61*n**3 + 8 + 62*n**3 + 18*n**g. Calculate c(-6).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 717 is divided by 20?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 4448589823 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -424e74 (base 15) in base 5?\nAnswer: -1301434014","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: 125 - -48 - 134 - 110\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i(h) = -6*h + 35. Determine i(0).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 3 + -2.99. Let m = -1764\/9823 + -2\/893. Put m, 4, i, 0.4 in increasing order.\nAnswer: m, i, 0.4, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is five quarters of a millennium in decades?\nAnswer: 125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 f and 2 i when four letters picked without replacement from {f: 4, i: 4, y: 3}?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 317 minutes before 5:57 PM?\nAnswer: 12:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 316*w + 802141 = 840377 for w.\nAnswer: 121","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 2035 and 8417981?\nAnswer: 42089905","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.5 times 15335.3?\nAnswer: 7667.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.1*462210.\nAnswer: -46221","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is -5 + (7 - -3) - 2?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1 = -5*c + 4. Let i be (0*c\/3)\/1. Is i equal to -2\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 1414 and 112514.\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*c + 6 = -0*c. What is the second derivative of -10*o**c - o + 11*o + o**2 wrt o?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 4621853 is divided by 35.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -53*t = 35*t + 2331 - 1187 for t.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let l(u) = u**3 - u**2 - u + 2. Let s be l(2). Suppose s*b = 2*b. What is the remainder when 45 is divided by (17 - 1) + b\/(-5)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((x*x**0)\/x)**(-2\/51)\/(x**(2\/65)*x\/(x\/((x**15*x*x)\/x)*x)))**(-1\/51) assuming x is positive.\nAnswer: x**(977\/3315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Put 1\/2, 2, 5, 1.493, 0.4, -2.7 in ascending order.\nAnswer: -2.7, 0.4, 1\/2, 1.493, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let r(y) = -134*y + 261. Determine r(3).\nAnswer: -141","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 552.9128 - 553. Let x = t + -75.2128. What is x rounded to the nearest 10?\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 2532?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let x(f) = f**3 - 3*f. Suppose g - 1 = 4*z, 3*g - 5*g + 2 = -3*z. Let c be x(z). Suppose c = -3*p + 6*p - 9. Solve -p*h - 10 = -8*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -u = -5*u. Suppose u = -4*y - s + 9, 0*s = -5*y - 5*s. Solve -c + 5*v = -21, -4*c = -y*v - 1 - 15 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(d) = -3*d**3 - 11*d**2 + 101*d - 36. Determine p(-8).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let q(d) = d + 13. Suppose 5*v = -25, -6*j + j - 3*v = 45. Let l be q(j). What is the third derivative of -n**3 - l*n**2 - 2*n**3 - 3*n**2 + n**2 wrt n?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -118, -116, -114, -112?\n\"Answer: 2*t - 120","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert -114 (base 5) to base 10.\nAnswer: -34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 17515?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((k**(-1\/10)\/k*k*(k\/k**(-6\/7))\/k*k)\/(k*k**0)**(-2\/27))**(-16))**(-32) assuming k is positive.\nAnswer: k**(886016\/945)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 0.95, 1\/11, -0.56?\nAnswer: 0.95","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 50*n + 522 = -1099 + 571 for n.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 227, 374, 397, 296, 71, -278?\nAnswer: -751","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*g**4 + 120*g**3 - 1113*g**2 + 1854*g - 864.\nAnswer: 3*(g - 6)*(g - 1)**2*(g + 48)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 273 and 38248.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let t(v) = 165547 - 165547 + 6*v. Let q(i) = 67*i. Calculate q(t(o)).\nAnswer: 402*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let x be -15*7\/21 + 1. Let i = 0 - -1. Put i, x, 0.5 in decreasing order.\nAnswer: i, 0.5, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(f) be the third derivative of f**4\/24 - f**3\/2 - 264*f**2. Suppose -4*y + 37 = y + 2*w, 4*w = 4. Suppose 10 = y*d - 6*d. Give v(d).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 54 times -0.4?\nAnswer: -21.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Sort 10, -65, -1, -5.\nAnswer: -65, -5, -1, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let z(x) = -x + 36709*x**2 + 3*x + 31631*x**2 - 5841*x**2. Let h be z(2). Round h to the nearest 100000.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 q, 1 a, and 2 h when four letters picked without replacement from {h: 3, q: 7, a: 3}.\nAnswer: 63\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let h(o) = -5*o + 0*o + 4*o + 1. Let k(x) be the third derivative of x**4\/8 - 2*x**3\/3 + 54*x**2. Determine 5*h(g) + k(g).\nAnswer: -2*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify g**19\/g**(5\/2) assuming g is positive.\nAnswer: g**(33\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Add together -0.040703 and -69.48916.\nAnswer: -69.529863","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*((sqrt(153))**2*-1 + sqrt(17) - (-4*(sqrt(51)\/sqrt(3) - sqrt(17)))**2) - -6*(sqrt(833) + -1 + sqrt(833))*3)*-1.\nAnswer: -253*sqrt(17) + 171","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -1347622, -2695815, -4044008, -5392201?\n\"Answer: -1348193*s + 571","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -140*r + 22990 = -19*r. Calculate the remainder when r is divided by 56.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 140 = -6*u - 22*u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1582 is divided by 72.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 239*y**2 + 4439866*y - 4439866*y.\nAnswer: 239*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: 4401 divided by 2415\nAnswer: 1467\/805","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let h(t) = -t**2 + 12*t + 31. Let o be h(14). Suppose 12 = -o*m + 9*m. Solve m*j + 1 = 5*y + 3*j, 0 = y + j - 1 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {b: 3, v: 5}. Give prob of picking 1 b and 2 v.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let b(x) = 7*x + 6. Let o(w) = 20*w + 17. Suppose -11*s = -15*s - 24. Calculate s*o(v) + 17*b(v).\nAnswer: -v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*n**2 - 29675*n - 15194270.\nAnswer: -5*(n + 566)*(n + 5369)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 3972602 to the nearest integer?\nAnswer: 158","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 6\/11?  (a) -1\/7  (b) -5  (c) -4  (d) 0.04\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*a = 2*w - 237, -333 + 87 = -3*a - 5*w. Let f = 463\/6 - a. Let o be (-10)\/35 + 9\/7. Is f at most as big as o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 669350 and 14410?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 4320 (base 5) in base 9?\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 4 (base 13) in base 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6 + 24 = -3*l. Let t be (2*l)\/((-12)\/6). Suppose t*i - i - c = 0, 3*i - 4*c = -17. Calculate the least common multiple of i and 26.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2 + (-1 + sqrt(19) + -4 + (sqrt(57)*-1)\/sqrt(3))**2 + -1 - (1 + ((sqrt(209)*-2*-3)\/(2*sqrt(44)))**2).\nAnswer: -71\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 1224 + 2303*g - 699*g + 1155 + 2030*g with respect to g.\nAnswer: 3634","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 769536 and 505728.\nAnswer: 337826304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 58\/2825 and -61\/65.\nAnswer: 36725","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Put 4, -2, -4, -31, 5, -14 in descending order.\nAnswer: 5, 4, -2, -4, -14, -31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -163 - -215. Suppose -x*u + 6398 + 13050 = 0. Is u a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose n - 27 = -4*a + 20, a - 10 = -2*n. What is the common denominator of -71\/60 and 447\/a*(-14)\/21?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 2799 + -2798.653. Let y = -0.05 + -0.27. Let b = g + y. Round b to two dps.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -36 + 26. Let y be (-3)\/(-4) - 5\/u. Sort y, -0.5, 2 in descending order.\nAnswer: 2, y, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 60143 and 42583?\nAnswer: 439","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*f + 20 = -0*v + 5*v, 0 = -2*f + 5*v - 20 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let p(h) = -5*h - 7. Let s(v) = 3*v**2 - 17*v + 5. Let r be s(5). Let w(a) = -9*a - 14. Give r*p(j) + 3*w(j).\nAnswer: -2*j - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 24203 + -13573. Is 170 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 147*w**2 + 6994 - 2887 - 149*w**2 to the form h + p*w**2 + k*w and give h.\nAnswer: 4107","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {m: 1, a: 3, v: 3, j: 2, f: 2, k: 4}. What is prob of picking 2 f and 2 v?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*j**2 + 6944*j.\nAnswer: -2*j*(j - 3472)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from trrtttrrtrrt. What is prob of sequence rttr?\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let k(m) = 2*m**2. Let z(i) = 38*i**2 - 14*i. Let a(x) = 13*x**2 - 5*x. Let w(d) = -14*a(d) + 5*z(d). What is k(w(r))?\nAnswer: 128*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 w and 2 c when four letters picked without replacement from {m: 1, w: 2, c: 2, t: 1}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 508 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 2088 and 540.\nAnswer: 31320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 92 is divided by 19?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: 253632 divided by -1\nAnswer: -253632","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 247197, 247169, 247111, 247023?\n\"Answer: -15*p**2 + 17*p + 247195","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -105*a = -96*a - 513. List the prime factors of a.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 99 and 44.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 52 and 458068?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 287744?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is -19258 rounded to the nearest one thousand?\nAnswer: -19000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: 0 + 5 - (0 + 3 - (-29 - -23))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -89*l - 48*l + 478 = 67 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -5 - 2. Let y = 2\/1923 + -18163\/1282. Let b = y - -23\/3. Which is smaller: c or b?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(y) = y**2 + 9*y. Let u be n(-9). Suppose 2*j + j - 51 = u. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 176585091 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: -0.24 - 1026266952\nAnswer: -1026266952.24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve p + 10 = -5*b, 2*b + 31 = -3*p + 27 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -2422 - t**3 - 755*t**4 + 1512*t**4 + 328*t - 2086 - 756*t**4 wrt t?\nAnswer: 4*t**3 - 3*t**2 + 328","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 6 (base 7) to base 2.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is one fifth of a milligram in micrograms?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 29*p = -156 - 18. Let y(t) = 2*t**2 + 9. Let x(b) = -b**2 - 1. What is p*x(d) - y(d)?\nAnswer: 4*d**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((r\/r**(-10))\/r**3)**(-2\/53) assuming r is positive.\nAnswer: r**(-16\/53)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((p**(-13)\/p**(1\/45))\/(p*(p*p**(11\/2))\/p*(p**(2\/55)*p)\/p))**(3\/11) assuming p is positive.\nAnswer: p**(-19363\/3630)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-1 + 2 - 5)*(6*c**3 - 18*c**2 - 2*c**3 + 19*c**2) to b*c**2 + k*c**3 + q*c + s and give k.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3653 + 1825 - 18*b**3 + 1826 + 3*b + (0 + 1 + 0)*(5*b**3 - 14*b**3 + 7*b**3))*(4 - 4 - b**2).\nAnswer: 20*b**5 - 3*b**3 + 2*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let 11*n - 12 - 37*n + 0*n**3 + n**2 + 2*n**3 + 2*n**4 - 12*n**2 - 3*n**2 = 0. What is n?\nAnswer: -2, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 8111732820 to the power of 1\/6, to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -27254 or 4564?\nAnswer: 4564","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -284980, -285045, -285154, -285307, -285504, -285745, -286030?\nAnswer: -286359","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -7, -37, -67?\n\"Answer: -30*a + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l(b) = 12*b - 119. Let f be l(26). Let w = f - -427. What are the prime factors of w?\nAnswer: 2, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 7*o**4 + 5*o**3 + 98*o**2 wrt o.\nAnswer: 168*o + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -12162\/13 - -936. What is the closest to -0.1 in 3\/7, o, -2?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(l) = -3*l**3 - l**2 + l. Suppose -126 + 187 = 61*w. What is g(w)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 7862468 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: 146 + -1\nAnswer: 145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-42)\/33 + (-51)\/(-187). Sort z, 15, -3, 5 in descending order.\nAnswer: 15, 5, z, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 81*r = 20342 - 20018. Solve 10\/13*l**3 - 8\/13 + 2\/13*l**r + 6\/13*l**2 - 10\/13*l = 0.\nAnswer: -4, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 0.2  (b) -156  (c) -3  (d) 2\/11  (e) -2\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in fourty-five eighths of a litre?\nAnswer: 5625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -2*b**3*f + 236*b*f**3 + 26*f**3 + 7*f**2 + 2*f wrt b?\nAnswer: -6*b**2*f + 236*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Factor 192*q**2 - 201*q + 9.\nAnswer: 3*(q - 1)*(64*q - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 12313 - 3?\nAnswer: 12310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 170\/(-15) + (-1)\/(-3). Let r = v + 1. Let m be (-2)\/(-3)*(-15)\/r. Which is greater: 7\/3 or m?\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.3?  (a) -52  (b) -5  (c) 1\/8  (d) -1  (e) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -8.1702 - -1.1702. What is the closest to k in -0.07, 2\/9, 1, 1\/2?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 4160 and 4480.\nAnswer: 58240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 462615 and -0.1?\nAnswer: 462615.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let v(x) = -4*x**3 - x**2 - 3*x - 1. Let b be v(-1). Suppose d = -0*d + 4*u + b, -5*d + 43 = -2*u. What is the remainder when 17\/((9\/4)\/d) is divided by 23?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2304?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -s = 4*s - 25, 2*s + 10 = -4*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 289*p = 294*p + 10 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Total of 0 and 41178353.\nAnswer: 41178353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -12, -34, -42, -30, 8?\nAnswer: 78","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 a, 1 i, and 1 u when three letters picked without replacement from iubaub.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (291239\/3440 - 87) + 0 + 4\/(-64).\nAnswer: -12\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Round 185300 to the nearest 10000.\nAnswer: 190000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 1284 - 1289. Let i(x) = 2 - 242001*x - 2 - 5. Let l be i(t). Round l to the nearest 100000.\nAnswer: 1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many micrograms are there in 349.3622ng?\nAnswer: 0.3493622","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-2118)\/211094*(-312)\/36.\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.1 minus 20431?\nAnswer: -20431.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from semsrmemse. What is prob of picking 3 m?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((a*a\/(a*a*a*a**(-3\/8))*a)\/a**6)\/(a**(3\/4)*a**(2\/3)))**(25\/4) assuming a is positive.\nAnswer: a**(-4225\/96)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 2*b**3*h**3*y**3 + 89*b**3*y**2 + 2*b**2*h**2*y**3 - 866087*h**3*y**3 + 10*y**3 wrt h.\nAnswer: 12*b**3*y**3 - 5196522*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 7 + 210. Let z = -229.1 + n. Let j = z - -12. What is the closest to j in -1, 4, 6?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 0.03542 + 0.02758. Sort u, -4, 3, 2 in descending order.\nAnswer: 3, 2, u, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {u: 9, r: 3}. Give prob of sequence uru.\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from lilhiihnlinipphi. What is prob of picking 1 h and 1 n?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: -1666 divided by -238\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: 1136104 divided by -4897\nAnswer: -232","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 1.18 + -2.7. Let k = i + 1. Let d = -0.5199974 - k. Round d to 6 decimal places.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 0.26 + -0.06. Let x = -0.55 + t. Let b = 0.3499952 + x. Round b to 6 decimal places.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(h) = 2*h**3 + 34*h**2 - 288*h + 1160. Give q(-24).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 t, 1 b, and 1 m when three letters picked without replacement from {t: 10, x: 5, m: 1, b: 2, c: 2}.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 23080, 46074, 69072, 92074, 115080, 138090, 161104?\n\"Answer: 2*d**2 + 22988*d + 90","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 650 - 653. Let r = -0.6 - -0.1. Which is the closest to 0.1?  (a) 4  (b) h  (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(h) = -h**3 + 6*h**2 + 6. Let b be p(6). Suppose -5*x = -131 + b. Calculate the remainder when x is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 33 = 22*q - 11 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from iiqqqqqqqiq. What is prob of picking 1 q and 2 i?\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 163700 and 425620?\nAnswer: 2128100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 7 + (-6)\/2 + 3 + -2. Let l(d) = -5*d**3 - d**2 + 3*d - 24. Let g(r) = -2*r**3 - r**2 + 2*r - 12. Let n(o) = 11*g(o) - 6*l(o). Is n(a) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2\/9 in -2, 0.48, 0.4, 4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, 2231736, 0 in decreasing order.\nAnswer: 2231736, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 226994?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -6*y**2 - 53*y**3 + 105*y**3 - 48*y**3.\nAnswer: 4*y**3 - 6*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let k(g) = 27*g + 3. Let h be k(3). Suppose -f - h = 2*f. Let q = -15 - f. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*w + w - 3*w)*(-6824*w - 11009*w - 10409*w - 1 + 23576*w).\nAnswer: 9332*w**2 + 2*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when ((-1)\/(-15) - 186337\/(-1020)) + (-1)\/(-4) is divided by 182.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -326 - -331. Suppose 0*l = -l + 205. Suppose 4*m - 3*z = 192, -2*m - 3*m = v*z - l. Does 20 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(j) = 2*j**2 + 277*j - 6612. Let p(a) = -a**2 - 278*a + 6615. Let c(l) = -5*p(l) - 4*r(l). Determine f, given that c(f) = 0.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (3\/((-126)\/30))\/((-8)\/(-56))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3*sqrt(160)\/sqrt(5) - sqrt(352)\/(sqrt(44)\/sqrt(4))) + (-2 + sqrt(128)\/sqrt(36))**2 + -5.\nAnswer: 23\/9 + 8*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 519 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 3 + 1)*(2*p**2 + 0*p**2 + p**2).\nAnswer: 9*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 2\/(-7) + 232\/(-448)*-2. What is the third smallest value in -0.5, -2\/13, j, -2\/11?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 4178 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -953, -960, -981, -1022, -1089?\n\"Answer: -u**3 - u**2 + 3*u - 954","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*g + 4*z - 8 = 0, 0*g - 4 = -2*g - 4*z. Let w = 1 + g. Let r(b) = -401*b + 3. Let v be r(w). Round v to the nearest one thousand.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {f: 4, n: 4, g: 3}. What is prob of sequence gg?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -1045 or 1\/5916?\nAnswer: 1\/5916","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*m - 1 = 3. Let n = 1 + m. Is 2 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -394 + 397. Let r be (8\/(-10))\/((-4)\/70). Suppose r + 69 = p + 4*q, -3*q + 285 = a*p. Is 33 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of d**3*s + 253153*d**3 - 2*d**2*s + 1067*d**2 - 19*s - 2 wrt d.\nAnswer: 6*s + 1518918","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*p = z + 2*p + 18, -31 = -3*z + 5*p. Suppose c = 2*g - 6, 1 - 4 = -g - z*c. Is 40\/g - (-2)\/3 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 5*m**3 + m + 44 - 103 + 44 - m**2 + 0*m**3 + 5*m**4 to s*m**3 + n*m**4 + r*m + j + l*m**2 and give s.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-171)\/(-2) - 5\/((-10)\/(-3)). Suppose 1132 = -80*q + l*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 value of ((-12)\/(-9))\/(40\/45)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1595989 (base 10) to base 13.\nAnswer: -43b595","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-19*y + 69 - 69)*(38*y + 3*y**2 - 38*y).\nAnswer: -57*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:13 AM and 2:37 PM?\nAnswer: 324","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5*((3*((sqrt(5) + sqrt(880)\/sqrt(11))*-2 - (-5*1*sqrt(5) - (sqrt(40) + sqrt(40) + (sqrt(40) - -2*sqrt(40)) + sqrt(40) - sqrt(40))\/sqrt(8))))**2 + 0).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let c(a) = 9*a**2. Let r(g) = 1220*g. What is r(c(f))?\nAnswer: 10980*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let f(b) = -b**2 + b - 1. Let u(o) = -14*o**2 - 1. Calculate -2*f(p) - u(p).\nAnswer: 16*p**2 - 2*p + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let x(m) be the third derivative of 0 + 1\/15*m**6 + 0*m**5 + 30*m**2 + 29\/24*m**4 + 0*m**3 + 0*m. Find the second derivative of x(k) wrt k.\nAnswer: 48*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(i) = i**2 + 12*i + 7. Let t be w(-13). Suppose -6*q + t = -2*q. Let k = q + -10. Let y(z) = 5*z - 1. Let f(r) = -9*r + 1. Give k*y(n) - 3*f(n).\nAnswer: 2*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Divide 168 by 4.\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 39829 is divided by 13273.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 47 - 34. Let d = z - 11. Let w = 2.2 - d. What is the closest to 0.2 in w, -0.2, 1?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-24 + 33 - 14) + -2 + 0.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -143714124 divided by 4.\nAnswer: -35928531","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 27*n - 6*n = -15*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let r be ((-15)\/(-6) - 3)*-348. Find the common denominator of -56\/11 and (8\/10 + 1)\/(r\/3915).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*d = -132 + 6. What is the remainder when d is divided by 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4238783 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7 = -4*m + 2*m + 5*x, 0 = -5*m + 5*x + 10 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*i + s + 3 = 0, 0 = -5*i + 4*s - 0 - 2. Let p(j) = 8*j - 8. Let l(d) = -2*d + 2. Let u be (-5 - -4)*-1 + (-64)\/(-8). Determine i*p(z) + u*l(z).\nAnswer: -2*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 15716.1 - 15716. Which is the smallest value?  (a) -0.1  (b) j  (c) 0.3  (d) -3\/19\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 15877 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*x = -2*q + 56, -2*q + x + 2*x = -60. Suppose -v + 0*v = -5. Suppose t + 5 = 4*k, 2*k = -4*t + 21 - v. What is the greatest common factor of q and t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(b) = -b - 3. Suppose -3*c = 5*i + 34, -2*i - 2*i - 24 = 4*c. Let s be y(i). Let n be 100\/s + -4 + 1. What is the highest common divisor of 119 and n?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*i - 6196 - 644. Let w = -77137\/40 + 1928. What is the common denominator of w and 1007\/i - ((-14)\/(-10) + -1)?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -8966\/9 - -3007\/3. Let n = -143 + 89. Find the common denominator of (28\/357)\/(4\/n) and q.\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 312418676 a multiple of 53?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 75.826, -1\/3, -3\/4, 81?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -6 and 127\/(-102) - ((-18)\/4 + 2).\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor x**5\/2 - 15*x**4 + 57*x**3\/2 - 14*x**2.\nAnswer: x**2*(x - 28)*(x - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 99492 + -58997. What are the prime factors of y?\nAnswer: 5, 7, 13, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 14, 36, 70, 122, 198, 304?\nAnswer: 446","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 61\/40 and -15\/356?\nAnswer: 3560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let m(j) be the first derivative of 37*j**5\/5 - j**3\/3 - 882*j + 332. Find the third derivative of m(t) wrt t.\nAnswer: 888*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((((s\/((s*s\/(s*(s*(s**(2\/31)\/s)\/s)\/s))\/s*s))\/s)\/s**(-12\/5))**(1\/50))**(-5\/3))**0 assuming s is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3*q - 1022*q**2 - 3883*q**2 + q.\nAnswer: -4905*q**2 - 2*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 300426 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: Does 1490 divide 5542800?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let p(j) = -29*j + 4. Let s(x) = 30*x - 4. Calculate -6*p(d) - 5*s(d).\nAnswer: 24*d - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 961 - 961. Solve 2*x + q = -2*j + 4, 3*j - 15 = 0 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -143*h**2 - 14.\nAnswer: -286*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*n**4 + 1184*n**3 + 5988*n**2 + 9616*n + 4816 = 0. Calculate n.\nAnswer: -2, -1, 301","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-9*t**2 - 11*t**2 - 26*t**2)*(33*t - t**2 - 10*t**3 - 36*t + 7*t**3).\nAnswer: 138*t**5 + 46*t**4 + 138*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"}
{"text":"Question: Let y = -78.7 - -3.7. Let h = 106 + y. Let j = h - 31.00023. Round j to four dps.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(z) be the first derivative of -z**2 + 4. Let b(q) = 0*q - 3*q + 2*q. Calculate b(f(l)).\nAnswer: 2*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 + 2 - 8)*(-91*d + 3607 - 3607)*(-9*d**3 + 2*d**4 + 9*d**3).\nAnswer: 546*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 4570891577 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let u(s) = -32*s + 21. Is u(-19) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -131*a + 1139 = -328 - 760 for a.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*f = -3*r - 87, -r - 17 - 12 = -2*f. Let u be 1 - 2 - (3 + r). Solve -4*m - u = m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 104*c**2*o**3 + 9*c**2 - 13 wrt o?\nAnswer: 312*c**2*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 7 + (-3 - -12) - 15.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5225 = q - 12*q. What are the prime factors of q?\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-9)\/15 + (-36586)\/(-10). Suppose -s = -5*g - 183. Let j = g + -399. Is j a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -f**4 + 3*f**4 + 3*f**4 - f**4 + f**2 - f**2 + (f**2 - 7*f**2 + 0*f**2)*(0*f**2 - 3*f**2 + 2*f**2).\nAnswer: 10*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let r(i) = 247*i + 7967. Give r(-32).\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -5438 + 24?\nAnswer: -5414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 59, 307, 697, 1229, 1903?\n\"Answer: 71*y**2 + 35*y - 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -3592 divided by 3592?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 2508307 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is a37 + 6190?\nAnswer: 7007","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*c = -k + 3534, 93*c = -2*k + 91*c + 7072. What is the hundreds digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 519501386.\nAnswer: 2, 37, 7020289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*i + 2*i - 3 = 0. Let d(g) = -739*g - 3158 + 150*g + 3156. Is d(i) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5 a factor of 49045?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1911\/(-182) + (7830\/12)\/15.\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 203 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let b(s) = -3*s**2 - 7*s - 6. Suppose 500*j + 355 + 145 = 0. Give b(j).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-2 + 5 - 1)*(4*t + 2*t - 5*t) - t - t + t + 63*t + 43*t + 3669 - 3663 in the form q + h*t and give h.\nAnswer: 107","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 2\/33025431 or -1?\nAnswer: 2\/33025431","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 533469960 to the power of 1\/2, to the nearest integer?\nAnswer: 23097","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3 = -t + 2*t. What are the prime factors of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1863196.\nAnswer: 2, 465799","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*a = 6*a + 4*r - 12, r + 13 = 3*a. Suppose -2*u = 2*u - 8. What is the second derivative of -2*s**a + 0*s**u - 3*s + s**2 - s**2 wrt s?\nAnswer: -24*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 22*b + 298 = 28*b + 26*b + 2*x, 0 = 2*b - 2*x - 8 for b.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is -11100010111100011110100 (base 2) in base 4?\nAnswer: -130113203310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 7609707093 to the nearest integer?\nAnswer: 295","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: How many tonnes are there in 0.4303447mg?\nAnswer: 0.0000000004303447","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 86, 146, 192, 224, 242, 246?\n\"Answer: -7*g**2 + 81*g + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 658399 + -659504.4912. Let v = 1111.5 + n. Let g = 6 - v. What is g rounded to three dps?\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -38.5 - -40.5. Sort -21\/2, k, -2 in increasing order.\nAnswer: -21\/2, -2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -3 - (-6 + -8) - 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {k: 2, r: 2, w: 4}. Give prob of sequence rwk.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 395 is divided by 135?\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {y: 1, n: 6, u: 5, k: 1, o: 2, e: 1}. What is prob of sequence enyk?\nAnswer: 1\/7280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 4\/(-8) - (6 + 6326\/(-972)). What is the nearest to -1 in a, -1, -0.5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of (-6)\/(-1) - (-2905 - -4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(x) = x**3 + 96*x**2 - x - 81. Give n(-96).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Does 6 divide 619788?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 101 - -1110110000011001101101001001?\nAnswer: 1110110000011001101101001110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-6)\/(-15) + 23\/5. Suppose -3*w = d - 0*d - 10, 4*d = 4*w - 24. Sort s, 2, d, -1 in descending order.\nAnswer: s, 2, -1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*n**2\/4 + 27*n\/4 + 21\/2 = 0. What is n?\nAnswer: -7, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Factor 15*l**2 + 917*l + 122.\nAnswer: (l + 61)*(15*l + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 5  (b) 167\/1687  (c) 14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let u(l) = 78*l + 102. Let c be u(31). Suppose 0 = 40*k - 54*k + c. What is the tens digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(s) be the third derivative of 0 - 1\/24*s**4 + 10*s**2 + 0*s + 0*s**3. Let n(q) be the second derivative of -7*q**3\/3 - 40*q. Calculate w(n(y)).\nAnswer: 14*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from yywywy. What is prob of picking 2 w and 1 y?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -n + 3 = -g, 2*g = -4*n - 3*g - 15. Suppose p + t = -0*p - 3, -2*p + 2*t + 10 = n. Solve -d + p = -0*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -1001110 + -1021001?\nAnswer: -2022111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x\/(x\/(x*(x**(2\/5)*x)\/x*x))*x**(-2\/3))\/(((x*x**1)\/x)\/x**5)*x**(1\/6)*x**(2\/9)*(x**1*x)**(-5\/4) assuming x is positive.\nAnswer: x**(163\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 v and 2 f when four letters picked without replacement from vvvvvhvufzhfhvhvvv?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 12\/(-84) + 2 + 116\/28. Let g be (-14)\/(-1) - (-3 + 1). Solve -2*j + l*j = -g for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15*m = 25 - 25. Suppose 4*s + m*s = -4*c + 44, -5*c - s = -43. Sort 5, 1, c.\nAnswer: 1, 5, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 49745761 is divided by 482968.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 16 - 9. Let a(j) = -j**3 - j**2 - j - 1. Let z(o) = -6*o**3 + 3*o**2 - 13*o - 6. Let c(r) = 5*a(r) - z(r). What is the units digit of c(i)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -866 - -848. Is a > -13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.1?  (a) 1\/10  (b) -5  (c) -2\/5  (d) -0.04232\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-13)\/((-117)\/40)*(-4)\/10 + 2. Is 1123 < g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*z = -0*z + 562. What is the units digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: -125075a (base 12) to base 10\nAnswer: -3588406","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 30 - 7 - (1 - -2). Suppose 0 = -5*x + z + 5. Let o(p) = 3*p**2 + 5. Let b(i) = i**2 + 1. Determine x*b(y) - o(y).\nAnswer: 2*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 8801927*b**3 - 2933972*b**3 - 2933975*b**3 - 2933984*b**3.\nAnswer: -4*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 471 and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 16 + -14 + 6\/2. What is the third derivative of -4*x**5 + 13*x**m - 10*x**6 - 5*x**2 - 9*x**5 wrt x?\nAnswer: -1200*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00163296 to 3 decimal places.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 190*0.3.\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let y(x) = 15*x - 50. Let s(c) = 12*c - 24. Let l(b) = -b. Let v(u) = -5*l(u) - s(u). Let j(h) = 13*v(h) + 6*y(h). Give j(5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(k) = -8*k + 13. Let y be p(12). Let v = y + -384. Let n = 4207\/9 + v. Is 1 not equal to n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(v) = -2322*v + 19. Let s(o) = 2322*o - 12. Give -2*j(l) - 3*s(l).\nAnswer: -2322*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((o**(-2\/5))**40*o**(1\/12)\/o**(-1\/11))\/((o\/o**9)\/o**(1\/5))**(-4) assuming o is positive.\nAnswer: o**(-32093\/660)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2285*q + 3*z + 43 = 2284*q, 17*q = z - 627 for q.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (21*f - 68 + 68)*(f**3 + 0*f**3 - 3*f**3).\nAnswer: -42*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ccllcc. Give prob of picking 1 l and 3 c.\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is (234\/741)\/((-7)\/(-399))?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 85837 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 982208 is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9960 = v - 2*d, -214*d + 211*d = 15. What is the tens digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 20002 + -1313?\nAnswer: 13134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let p(s) = s**2 + s + 3. Let x be p(0). Suppose 2*f - 5*f + 9 = -k, k = -3*f + 3. Suppose -135 = -x*g - f*g. What is the units digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 381873766 to the power of 1\/8, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 6300\/(7 + 2) - (-3 + 1)?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(m) = 3*m - 4. Suppose 5*x - 17 = 4*v, 2*x - 20 = 5*v - 3. Let y be (12 - 3)*x\/3. What is the units digit of u(y)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 77 + -77.47. Let c = -0.4786 - v. What is c rounded to three decimal places?\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 8049 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 39372069?\nAnswer: 3, 11, 108463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"}
{"text":"Question: Simplify (((m*(m**0\/m*m*m)\/m)\/(m**(-5\/3)*m))\/(m**(4\/3)*m*m\/(m**(-2\/5)*m)*m))\/((m\/(m**1*m))\/m**7)**(-4\/3) assuming m is positive.\nAnswer: m**(-191\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -54 + -5?\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*l**5 - 86*l**4 + 246*l**3 - 242*l**2 + 80*l.\nAnswer: 2*l*(l - 40)*(l - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Work out 528 - 144980.\nAnswer: -144452","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -13.7 - -12. Let m = i + 0.7. What is the closest to m in -3, 3\/5, 2?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -10010011010001100001010 (base 2) in base 12?\nAnswer: -17488b6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 487*p - 3522 - 4757 for p.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, 5\/2, 6, -811, -10\/3 in decreasing order.\nAnswer: 6, 5\/2, -3, -10\/3, -811","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z**1*z*z\/(z\/(z\/z**(1\/4)))*z*(z*(z\/(z**(-1)\/z*z))\/z)**(-19))\/(((z\/(z**(4\/7)*z)*z*z)\/(z*z**7))\/((z**(-1\/2)\/z)\/(z\/(z*z**7*z*z)))) assuming z is positive.\nAnswer: z**(-565\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is g in -4*g**4 + 56*g**3 - 132*g**2 - 448*g - 256 = 0?\nAnswer: -1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let d(z) = 2*z. Let w(n) = 194102*n. What is w(d(a))?\nAnswer: 388204*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Sort 105, 1, -87, -2, 113, 2.\nAnswer: -87, -2, 1, 2, 105, 113","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 3*x + 742 + 14*x**2 - 787 - 19*x**2 to h*x + i + y*x**2 and give y.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -6*j + 2*j - 2*h + 22, 4*j - 7 = 3*h. Let b be 4 - 4 - (-1 + 1). Suppose -w = -b*w - 1. Solve -j = -v - w for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5 + 434310*r**2 - 5 - 434313*r**2.\nAnswer: -3*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let c(m) be the first derivative of m**3\/3 - 3*m**2 + 2*m - 1. Suppose 0*a = 3*v - 3*a - 15, -3*a = v - 17. Does 9 divide c(v)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 112162, 224306, 336452, 448600, 560750, 672902, 785056?\n\"Answer: m**2 + 112141*m + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Determine i, given that 2*i**3\/7 + 16796*i**2\/7 + 698914*i\/7 - 24984440\/7 = 0.\nAnswer: -8356, -65, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Sort -8, -2, 4, -3, -4.12, 1\/4.\nAnswer: -8, -4.12, -3, -2, 1\/4, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {j: 2, l: 2, c: 2, x: 3, p: 8}. Give prob of picking 2 l.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -17, -2\/3, 3, -0.51?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, -320, -26, -2, -4 in ascending order.\nAnswer: -320, -26, -4, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*z - 4 = z - 2*t, 5*z = 3*t - 27. Sort 6, z, 0 in descending order.\nAnswer: 6, 0, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(g) = 3*g**2 - g**2 - g**2. Let f(b) be the second derivative of -b**5\/60 - b**3\/6 + 2*b. Let y(o) be the second derivative of f(o). Calculate c(y(k)).\nAnswer: 4*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let k(v) = v**2. Let f(i) = 2*i**2 + 115*i - 3964. Determine f(k(c)).\nAnswer: 2*c**4 + 115*c**2 - 3964","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 3b22882 - 4?\nAnswer: 3b2287b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -52923808, -52923812, -52923816, -52923820, -52923824?\n\"Answer: -4*m - 52923804","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2*(sqrt(13) - (sqrt(39)\/sqrt(3) + 0) - sqrt(13))*3.\nAnswer: 6*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let p(a) = a**2 + 16*a - 25. What is p(0)?\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -1\/5, 17\/4, -1?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 5 - 8\/(48\/18). Let r = 23 - 14. Let h = r + n. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2.1, -3, 1, 1\/7 in descending order.\nAnswer: 2.1, 1, 1\/7, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*q - 142725 = -i + 443851, -3*i + 977620 = 5*q. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 42 and 390.\nAnswer: 2730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 297\/889 - 2\/2667. What is the closest to -2 in -1\/2, h, 1, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 433561869 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -0.33 - -0.32884. Round f to 4 dps.\nAnswer: -0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 104494 - 104494 + 82*b + 32*b + 51*b.\nAnswer: 165*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 18567 = 1490*s - 23767 - 20058 - 9128 for s.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 6187 - 1 - 1\/(-3)*9. Suppose 18*y - o = 5925. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 7*h**5 - 5062*h**4 - 3195*h**3 + 413310*h**2 - 116*h.\nAnswer: 420*h**2 - 121488*h - 19170","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 11170813 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let r be ((-4)\/(-3))\/((-4)\/(-18)). Let w(v) = -v**2 + 8*v - 7. Let o be w(r). Suppose 23 = o*h - 22. What are the prime factors of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*j + 425 = -5*n + 452, 4*j - 11 = -3*n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -9 + 4 + (2 - (5 - 5))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 373*h = 377*h + 16 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -2.7  (b) -0.3  (c) 73  (d) -51\/2  (e) -12\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose p = g + 18, -1 = -3*g + 5*g + 5*p. Let w be (g + 0)*-6 + -1. Let k be ((-74)\/111)\/(0 + 2\/(-21)). What is the highest common factor of k and w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((c*c**(-1\/14))\/c*c**(2\/13))**(17\/4) assuming c is positive.\nAnswer: c**(255\/728)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 0.2, 4, -0.5, -0.3, 15.1, -11?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Sort -714, -3774, -2.\nAnswer: -3774, -714, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: (-20 - -22)*30\/20\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -5 + -123?\nAnswer: -131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-3)\/(-1) - 1\/(-1). Let q(m) be the first derivative of -m**2 + 0*m + 2\/3*m**3 + 1\/2*m**z - 2\/5*m**5 - 1. Let q(w) = 0. Calculate w.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*w = -6*w + 780. Calculate the greatest common factor of w and 60.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 462 and 672?\nAnswer: 7392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let v(r) = -211*r**2 + 2*r + 212*r**2 - 2 + 2*r. Let i be v(-4). What is the remainder when 37 is divided by (-9 - -21) + i\/4*-2?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 53, 14, -99, -328, -715, -1302, -2131, -3244?\nAnswer: -4683","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -16 = 5*v + 2*s, -2*v - 26 = 3*v - 3*s for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 10110202 + 1111110200?\nAnswer: 1121221102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Convert 290148.36 nanoseconds to minutes.\nAnswer: 0.000004835806","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u(j) be the third derivative of 0*j**4 - 1\/8*j**6 + 0*j + 0 + 0*j**3 + 17\/60*j**5 - 15*j**2. Find the third derivative of u(p) wrt p.\nAnswer: -90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(y) = y - 2. Let u(l) = -l**2 - 5*l - 7. Let g(h) = -2*c(h) + 2*u(h). Give g(-4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -22\/633 and -41\/15?\nAnswer: 3165","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let u(s) = -170*s - 345. What is the remainder when u(-9) is divided by 66?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(u) = u - 13. Let y be c(0). Let g(j) = j + 22. What is the lowest common multiple of 2 and g(y)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (0 + 2\/9)\/(48\/2808*39). Which is the third smallest value?  (a) l  (b) 2\/9  (c) 37\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 26?  (a) 1.05  (b) 1  (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 4*1*76\/(-456) - 0. Let j = -8 - -6. Sort -0.06, v, j.\nAnswer: j, v, -0.06","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -f = -0*f - o - 139, o - 409 = -3*f. What is the units digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 183800066 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Divide 1 by 20139.\nAnswer: 1\/20139","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose y = 3 + 4. Let l(w) = -10*w + 101. Let r(u) = -13*u + 101. Let z(f) = 7*l(f) - 6*r(f). Let h be z(-12). Solve 2*p = h*j - 2, -5*j + 4*p + y = 3 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: (1 - -73) + (3487 - 3486)\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put -1, 282, -0.9, 0.2, -0.3 in decreasing order.\nAnswer: 282, 0.2, -0.3, -0.9, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let y(v) = -v**2 - 30*v - 20. Let g be y(-29). Let n(d) = -d**2 + 12*d - 12. What is n(g)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 398861 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((t*t**(-3)\/t*t)\/((t**7*t*t)\/t*t))\/(t**(-1)\/t)**4)\/(((((t\/(t**(-2\/7)*t))\/t*t)\/t)\/t)**(1\/8)\/(t**(2\/7))**(-34)) assuming t is positive.\nAnswer: t**(-25\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s*s**21*s**(-21\/5))\/(((s*s\/(s\/s**(-1\/3)))\/s)\/(s*s**(-15))) assuming s is positive.\nAnswer: s**(62\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*l = 25, 3*s + 5*l + 12 = -4. Let d(v) = -4*v + 9*v - s*v. Let x(f) = -2*f - 1 + 1. Give d(x(i)).\nAnswer: -4*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -127 in 0.6, 1\/4, -0.241?\nAnswer: -0.241","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g*g**(-2))**(-7)\/((g**2*g)\/g**(-2\/9))*(g\/(g**(13\/2)*g)*g*g**(2\/41)*g)**(-1\/31) assuming g is positive.\nAnswer: g**(89713\/22878)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*z + 6 = -0*z. Suppose -z*b = 5*s - 5 + 29, -4*s = b + 18. Let m be 30\/20*s\/(-3). Solve -5*r = -3 - m for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*d - 2*d = -16, -2*q + 58 = 3*d. Suppose 4*f - 5*z - q = 0, 6*f - 16 = 3*f + 5*z. What is the remainder when (16\/4 - 5 - -2) + 25 is divided by f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose q = 1 - 2. Let r be q + 1 + 8*3. Suppose 4*z - 3*t - 22 = -0*z, 5*z = 2*t + r. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -42*(4\/22)\/((7760\/1320)\/97)?\nAnswer: -126","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -17*y = -20*y + 9. Suppose -27 - 1 = -4*p. Let w(c) = -15*c + 77. Let q be w(5). Sort -1, y, q, p in ascending order.\nAnswer: -1, q, y, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.000729060142 to six decimal places.\nAnswer: -0.000729","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {d: 5, b: 7, t: 2}. What is prob of picking 3 d?\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 387 and 23428593?\nAnswer: 387","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -149 + 149. Solve -t = -a*t - 2 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 74 and 500.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve i = -2*s - 6, -5*s + 2*s + 5*i - 22 = 0 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -3, 112, -2, -35, -0.5, -1\/3?\nAnswer: 112","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let k(t) be the second derivative of t**4\/4 - 10*t**3 - 66*t**2 + 36*t + 3. Factor k(n).\nAnswer: 3*(n - 22)*(n + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 244917693?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 2*f**2 + 12*f**3 + 7*f + f**5 + 10*f**6 - 21*f**6 + 4*f - 2*f**3 - 10*f + 258 wrt f.\nAnswer: -1320*f**3 + 60*f**2 + 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 15*y**3 - 11*y**3 - 22*y**3.\nAnswer: -18*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1101211 (base 3) to base 16.\nAnswer: -3fd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*g + 3*x + 3 = -0, 2*g - 4*x = 4. Suppose 2*n - 15 = 60*j - 61*j, -3*n - 2*j + 21 = 0. Calculate the remainder when g - n\/(1 - 4) is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -d + 3*i = -8, -2*i + 4 = -d + 5*d. Let m(l) = -5*l**2 + 5*l**2 + d + l + 3*l**2. Let n be m(3). Calculate the highest common divisor of n and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 221 and 119.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 472886167 to the power of 1\/8, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -5*i**5 - 2442*i**4 - 44227*i**2 wrt i.\nAnswer: -300*i**2 - 58608*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 22013 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 404 - 368. Suppose -1196 = -j*i + 820. What is the least common multiple of 3 and i?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(c) = c**2 - 7*c - 73. Let h be x(-6). Let m be 5766\/279*(h + 1). Calculate the highest common factor of m and 31.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 264, 264, 272, 294, 336, 404?\n\"Answer: m**3 - 2*m**2 - m + 266","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 f and 2 k when three letters picked without replacement from {f: 1, r: 2, u: 1, k: 3}?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 2794267?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is -7714432849 rounded to the nearest 100000?\nAnswer: -7714400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 9*k + 43*u = 40*u + 60, 0 = 3*u - 15 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1*((-2 + -1*sqrt(1377) + 0 - (sqrt(1377)*2)**2*2*2) + -2).\nAnswer: -22036 - 9*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 307 is divided by -11 + -2*484\/(-11).\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -57 - 9*p**2 + 31 + 330*p + 26 in the form v*p + o*p**2 + i and give v.\nAnswer: 330","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 46 = 4*v - 2*r, -4*v + 0*r = 2*r - 50. Suppose -v*c = 961 - 3481. Let i be c\/12*(-132)\/(-5). Calculate the highest common factor of i and 42.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(o) = 4*o**3 - 2*o + 1. Let i be w(1). Suppose -2*s + i*s - 25 = 0. Does 10 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*i**2 + 80*i = 0 for i.\nAnswer: 0, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 1.8  (b) -2\/5  (c) 11.228  (d) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 3f6c1 - 1?\nAnswer: 3f6c0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2\/17, -4, 945 in descending order.\nAnswer: 945, 2\/17, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2267 is divided by 45?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 235 minutes after 7:28 AM?\nAnswer: 11:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from iuuugucuuguuccuu. What is prob of picking 2 u, 1 g, and 1 c?\nAnswer: 27\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand -3*z**2 + z**2 + 4*z**2 - 1 + 1 + z**2 + (2*z - 7*z + 2*z)*(-3*z + 0*z + 2*z) - 7*z**2 + 4*z**2 + 2*z**2 - 1 + 3*z**2 + 1.\nAnswer: 8*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 202 - 39*f**2 + 4*f - 98 + 352*f**2 - 91 wrt f?\nAnswer: 626","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (3 - 6 - 5)*(-v**4 + 0*v**4 + 2*v**4 + 1) as o*v + f + m*v**4 + n*v**2 + y*v**3 and give m.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let r(s) = 5*s. Let u(g) = -3*g. Let h(q) = r(q) + 2*u(q). Suppose b - 3*t = -5, -3 = 2*b - 2*t + 3*t. Let m(a) = 8 - 15 + 6. Determine b*m(f) - h(f).\nAnswer: f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 23 + -22.91. Let t = 0.09 - v. Suppose 4*z + 3 = 5*f, -5*f - 3*z = -5*z + 1. What is the nearest to f in t, -1\/3, 2\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(t) be the third derivative of -2377*t**9\/126 - 2623*t**5\/60 - t**4\/12 + t**3\/3 + 2*t**2 - 527*t - 8. What is the third derivative of g(o) wrt o?\nAnswer: -1140960*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -38 - -58. Let l be (2 + -3)\/((-5)\/m). Find the third derivative of 19*c**5 - 23*c**l + 12*c**4 + 11*c**4 + 15*c**2 wrt c.\nAnswer: 1140*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -0.10425205 and 1149?\nAnswer: 1149.10425205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*t = -v + 221, 5*t - 84 - 359 = -2*v. Is v a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (k - 2*k**2 - k - 2)*(-36 + 100 - 34)*(3 + 0 - 5)*(23*k + 17*k - 35*k).\nAnswer: 600*k**3 + 600*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 490 minutes after 4:09 AM?\nAnswer: 12:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((g**(-1)\/g)\/g)\/(g**(2\/19)*g*g))\/((g\/(g**(-3)*g))\/(g*g\/g**8)))**12 assuming g is positive.\nAnswer: g**(-3216\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -w**4 + 2*w**2 + 6*w**2 - 8*w**4 wrt w?\nAnswer: -216*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -18*a**5\/7 - 604*a**4\/7 - 7620*a**3\/7 - 43416*a**2\/7 - 100602*a\/7 - 43740\/7 = 0. Calculate a.\nAnswer: -9, -6, -5\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 246984 is divided by 573?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -137 - -151. Let l = 4 + 0. Suppose -3*i - 3 = -l*i. Solve -s - d - i*d - f = 0, -5*s + d = -14 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 10\/4 + (-1)\/(-2). Let v be 4\/(-6) + (-2)\/(-3). Let o be v + 2 + -2 + 4. Which is bigger: o or g?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -204, -398, -602, -822, -1064, -1334?\n\"Answer: -v**3 + v**2 - 190*v - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 32780 divided by -44?\nAnswer: -745","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:01 PM and 5:53 AM?\nAnswer: 652","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: 71+-3453563\nAnswer: -3453492","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 22010102201122 + -2?\nAnswer: 22010102201120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4346*u + 5427*u = 499*u - 977*u - 912339 for u.\nAnswer: -89","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 32*r - 3*r - 58 = 0. Let q = 3 - 2.8. Sort 4, q, r, -0.04 in increasing order.\nAnswer: -0.04, q, r, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -32732\/5 - -6574. Let z = -1804\/65 + r. What is the nearest to -1\/2 in 60, -2, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(o) = -5*o + 4. Suppose 8*t + 17*t - 100 = 0. Let f(p) = p**2 + 8*p. Let l(h) = 3*h**2 + 20*h. Let z(c) = t*l(c) - 10*f(c). What is z(y(k))?\nAnswer: 50*k**2 - 80*k + 32","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -80.9999912 - -81. What is m rounded to 6 dps?\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: (2*(-5)\/(-60))\/((-608)\/456)\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(j) = j. Let l(t) = 3*t - 55. Let k be l(20). Let i(p) = p**2 + 5*p + 1. Give k*u(f) - i(f).\nAnswer: -f**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 14 a factor of 9511?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 2 + 2\/(-14)*17. Let i = 1015 - 1008. Sort p, 1, i in decreasing order.\nAnswer: i, 1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*h = -3*o + 4*h + 698, o - 222 = h. Let x = -220 + o. Solve 25*a + x = 23*a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 8, -13, -50, -109, -196, -317, -478?\nAnswer: -685","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand -27*p - 30 + 30 + 0*p + p - 2*p + 0 + 2*p + 0 + (0 - 6 + 4)*(2*p - 4*p + 0*p) + 2*p + p - 4*p + 2*p + 3*p - 4*p.\nAnswer: -22*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*i - 17 = -5. Let z(g) = 2*g**3 + 3*g**2 + g + 6. Let d be z(-2). Solve i*r + 2*x = 6*r, d = 3*r + 3*x for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-3)\/2*2 + 6. What is the derivative of 0*m + i*m + 3*m + 2 - 7*m wrt m?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*c - 4*k + 6 = 0, -2*c - 3*c = -4*k + 21 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -288 + 254 = -103*a - 549 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3 + -6*(3 + sqrt(171) + 4 + -1))**2*-6.\nAnswer: -46062 - 8424*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let w(c) be the first derivative of -c**2 - 232. Suppose 3*v = -n + 5, 5*n = -16 - 4. Let t(m) = -v*m + 2*m + 0*m. Calculate t(w(f)).\nAnswer: 2*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*v + 55 = c - 170, -5*c + 3*v = -1209. Calculate the smallest common multiple of c and 33.\nAnswer: 2640","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 149\/30 and 49\/1032.\nAnswer: 5160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let p(w) = -w**3 - 3*w**2 + 2*w - 14. Let u = -2 - -9. What is the remainder when p(-5) is divided by u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:02 AM and 11:53 AM?\nAnswer: 51","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let c(l) = 2*l**2 + 4*l + 5. Let a(h) = -2*h + 36. Let n be a(19). Let y be c(n). Solve 4*b = -16, -5*s + y*b = 2*b - 2 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.2?  (a) -4  (b) 3  (c) -23  (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is ((5\/21)\/(-5))\/((-2)\/(-4))?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 6.35 in -1, -0.4, 19, -1\/10, 0.06, -2?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 842\/(-1684)*(-6 + 0). Solve 2*b = -3*w - q, 29*w = 31*w - b - 12 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -16*w**4\/3 - 3956*w**3\/3 - 61148*w**2\/3 - 251584*w\/3 - 19712 = 0. What is w?\nAnswer: -231, -8, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3533236101.\nAnswer: 3, 392581789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -29*a**3 + a**2*z - 23*a*z - 4*a wrt a.\nAnswer: -174*a + 2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let n(z) = 17*z**2 - 459*z - 4. Determine n(27).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*f - 2 + 34 = 0. Let b = 12 + f. Solve 10 + 10 = -b*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 l and 1 k when two letters picked without replacement from {l: 2, j: 1, k: 5, o: 1, b: 2, d: 2}.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand 31 - 31 - 32*r + 0*r - 3*r + 2*r + (-3 + 3 + r)*(-1 + 1 + 2) - r + 0*r - r + 21 - 4*r - 21 + 3*r - 3 + 3 + (-7 + 3 + 2)*(3 - 3 + r).\nAnswer: -36*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1.65, -1\/143, 0.3, -1.\nAnswer: -1, -1\/143, 0.3, 1.65","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -290 + 286. Let u(j) = 48*j + 276. Let x be u(r). What is the highest common divisor of 12 and x?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 4975 and 3184?\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 7232 and 340356.\nAnswer: 452","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let c(b) = 2*b**2 + 6*b + 2. What is the remainder when 41 is divided by c(-5)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 63 in 2, 4, 0.1, -12.3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a**9\/(a\/(a\/(a\/((a**8\/a)\/a)))))\/(a**(-14)*a**(-1\/2)) assuming a is positive.\nAnswer: a**(57\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let l(a) = a**2 - 39. Let i(f) = -f**2 + 38. Let u(p) = 4*i(p) + 5*l(p). Let k(o) be the first derivative of u(o). Let b(z) = -2*z - 21. Calculate b(k(w)).\nAnswer: -4*w - 21","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let g(s) = -25*s + 35. Let x be g(0). Calculate the greatest common divisor of x and 392.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -42557841 to the nearest 100000.\nAnswer: -42600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: 46 + -92 + (8 - -5)\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 908552 divided by -4.\nAnswer: -227138","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let w(o) = 2*o + 8. Let y be w(-8). Which is the nearest to y?  (a) 5  (b) -2  (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -150.99999772 + 151. Round q to 6 dps.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 128531 to the nearest integer?\nAnswer: 359","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 1512a - 1a9?\nAnswer: 14b41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: 9\/2*((-1425)\/5985)\/(10\/4)\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1298225160 to the nearest integer?\nAnswer: 36031","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, 50, 0, 4, 129, -5.\nAnswer: -5, 0, 1, 4, 50, 129","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 4232685 or -0.031?\nAnswer: -0.031","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 78 and 6279.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 66 + -66. Suppose -8*n - 23 + 63 = x. Sort 4, -1, -4, n in descending order.\nAnswer: n, 4, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 8698.594 millilitres to litres.\nAnswer: 8.698594","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q(h) = h**3 - 8*h**2 + 2*h - 18. Let v be q(12). What is the derivative of -582*j + 24*j**3 + v*j - 2 wrt j?\nAnswer: 72*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (2*(-3)\/6)\/(3\/9)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence tttt when four letters picked without replacement from uuutuuutuuuuututuu.\nAnswer: 1\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Put 4, 3, -3\/4, 1, -0.04 in ascending order.\nAnswer: -3\/4, -0.04, 1, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -713002961*b - 713002957*b + 1426005921*b.\nAnswer: 3*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let j(c) = -3*c + 37. Let x be (21\/(-12))\/(1\/(-4)). Let a be j(x). Suppose 10*n + 60 = a*n. Calculate the greatest common divisor of n and 30.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3495.\nAnswer: 3, 5, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Convert -233211131 (base 4) to base 14.\nAnswer: -51061","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 u and 1 s when two letters picked without replacement from skskdssksuusuusu?\nAnswer: 7\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: -7 * -33978\nAnswer: 237846","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 56 and 372.\nAnswer: 5208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -10011100100111111 - -1000001101011?\nAnswer: -10010100011010100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 95112?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 69916 and 13692.\nAnswer: 34188924","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 8961?\nAnswer: 3, 29, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from jxxxxjxxjxxjxjjxjxjj. What is prob of picking 2 x?\nAnswer: 11\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 224979860 to the power of 1\/2, to the nearest integer?\nAnswer: 14999","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 10 + -12. Let l be 937*b*3\/(-6). Suppose 2*s + 83 = -l. Round s to the nearest one hundred.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 5699, 11404, 17113, 22826, 28543, 34264, 39989?\n\"Answer: 2*j**2 + 5699*j - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when (-7 + 1)*-43*22\/33 is divided by (-1)\/(3 + 1 + -1)*-21.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 170, 250, 330?\nAnswer: 410","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 438 = d + 420. What is the lowest common multiple of (12 - 3) + 1 + -2 and d?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4 + 1050.3?\nAnswer: 1054.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -20 - -22. Find the second derivative of 5*u**2 + 0*u**c - 9*u + u**2 wrt u.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in nine sixteenths of a week?\nAnswer: 5670","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -71, -112, -163, -230, -319, -436, -587, -778?\n\"Answer: -m**3 + m**2 - 37*m - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 8227, 9385, 11315, 14017?\n\"Answer: 386*u**2 + 7841","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 58751?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.696 rounded to 1 decimal place?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Does 819 divide 2213757?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-17)\/34)\/(3\/42)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express 5*o + 61*o**2 - 3*o - 76*o**2 as s*o**2 + x + d*o and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let b(v) = -73*v - 26. Let l(d) be the first derivative of -73*d**2 - 53*d + 50. Let h(j) = 5*b(j) - 2*l(j). What is the derivative of h(w) wrt w?\nAnswer: -73","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 74*q + 132 = -756. Sort -5, q, -8, 3 in ascending order.\nAnswer: q, -8, -5, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(h) be the first derivative of h**4\/4 - 2*h**3\/3 + h**2 - h - 5. Let t be r(1). Calculate the remainder when (t - -7) + (-16)\/8 is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -0.25 + 0.15. Let t be ((-6)\/(-1))\/(15\/10). Let f be ((-1)\/(-11))\/((-2)\/t). What is the closest to m in f, -2, 2?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 t and 2 u when four letters picked without replacement from ttgutgutu?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 141, 279, 415, 549, 681, 811?\nAnswer: 939","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 224 - -204525?\nAnswer: 205153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 37 - 22. Let m(k) = -4*k + 10. Let i be m(s). Let n = i - -307. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 13084?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -5 and 104636711.\nAnswer: -523183555","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00656884 - -0.203?\nAnswer: 0.19643116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let c(i) = 370*i - 381. Give c(1).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2793840?\nAnswer: 2, 3, 5, 7, 1663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14*x + 2917 = -13*x - 4*o, -2*o - 11724 = -4*x. What is the tens digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is (-18)\/(-171) - (-170709)\/57 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(x) = x**3 - 4*x**2 - 7*x + 7. Let y be f(5). Let u = 5 + y. Sort u, -3, 0 in descending order.\nAnswer: u, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -586 + 577. Let i be -5 - (-1 - -2)*l. Sort i, 0.11, 0.1 in decreasing order.\nAnswer: i, 0.11, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 424352663*m**3 + 15751*m**2 + 953*m + 1 wrt m.\nAnswer: 2546115978","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 85*j + 8827 - 35412 - 17530 = 0. What is the highest common factor of j and 7439?\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(b) = -b**3 + 14*b**2 - 13*b + 16. What is m(13)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 738906 to the nearest integer?\nAnswer: 860","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let j(t) = t**3 - 22*t**2 + 20*t + 16. Let x be j(21). Let b be (x*(-7 - 0))\/((-1)\/(-6)). What is the highest common divisor of 42 and b?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 44141 and 925?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 232472.\nAnswer: 2, 29059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let m(v) = 2*v + 24. Let t be m(-14). Let r be 4\/(112\/148) - t\/(-14). Suppose 2*f + f - 2*p - 248 = 0, 2*f + r*p - 178 = 0. What are the prime factors of f?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 20*(-49)\/((-3430)\/22848). What is the highest common divisor of 51 and a?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 19 - 7 = -4*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 7855306 to the nearest integer?\nAnswer: 2803","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.0480975 and -73.\nAnswer: -3.5111175","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*g + 16 = 2*n, -151*n + 5*g = -154*n + 26 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-8)\/(-208))\/(6\/(-24))*143?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (12\/(-3) + 3)*(-18)\/3. Suppose 5742 = x*f + 1116. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2\/87677 not equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 8*d**2*i**2*n - 2507*d**2*n**3*z + 2*d**2*z - d*i**2*n*z + 16*d*i*n**3*z - 20*d*i*n**2 - 2*i**2*n**2*z - 5*n**3*z wrt d.\nAnswer: 16*i**2*n - 5014*n**3*z + 4*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 246 a factor of 2654832?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Convert 699.5354 nanometers to meters.\nAnswer: 0.0000006995354","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round 111.311 to zero dps.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 229 is divided by 107.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 36 in 0.3, 6, -4, 2?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: 1.9*4\nAnswer: 7.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is -10266 divided by 174?\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 + 2 - 6)*(g**4 - 2*g**3 + 2*g**3 - 3*g).\nAnswer: -4*g**4 + 12*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify t**(5\/8)\/((t**(1\/24)*t)\/t) assuming t is positive.\nAnswer: t**(7\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 132 a factor of 9081732?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -46.24 - -42.24. Let s = -1.4 - -0.4. What is the closest to 1 in s, -0.1, l?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 4\/5, 3\/5, -112?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let h(y) = y**3 - 6*y**2 + 3. Let d be h(6). Suppose -q + 8 = -5*a, -4*q - q + 18 = -d*a. List the prime factors of q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (3 + -1)\/(15\/(-75)). Let h be (-10)\/1*(-5)\/n. Let f be 65\/(-25) - -3 - 6\/h. Is 3 greater than or equal to f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 4*x**4 - 4 + 4 + (-x**4 + 5*x**3 - 5*x**3)*(2 + 10 + 3 + (-1 + 1 + 2)*(1 + 2 - 2) + 0 - 3 + 1 - 2 + 3 - 2).\nAnswer: -10*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -49*c = -82*c + 99 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Factor y**2 - 1267*y - 460790.\nAnswer: (y - 1562)*(y + 295)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 less than -0.16019?\nAnswer: -2.16019","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose m - 441 = -i, m - 406 = -5*i + 31. What are the prime factors of m?\nAnswer: 2, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in z**2 - 3380*z**3 + 7448*z**3 + 17321*z**3.\nAnswer: 21389*z**3 + z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -r - 4*n = -0*n - 12, -r - n = 0. Let s(d) = d**2 + 3*d - 6. Let z be s(r). Let l = 42.3 + -43.3. Which is the closest to z?  (a) l  (b) -5  (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*q + 51 - 59 = -i, -18*i - 7 = 4*q + 9 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"}
{"text":"Question: What is -0.045 times 4?\nAnswer: -0.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Add together 0.0136 and -35269119.\nAnswer: -35269118.9864","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 1\/9 or 7380?\nAnswer: 7380","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*m + 0*m + 16 = -4*p, -m = -4*p - 13. Let v = -33 - -39. Suppose -j = -2*j - v. Put j, -3, m in decreasing order.\nAnswer: m, -3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-338)\/(-8) - 1\/4. Suppose 4*l + 21 = 2*i - 9, -2*l = -4*i + h. Let r(m) = m**3 - 10*m**2 + 13*m - 12. Is r(i) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -90574, -90573, -90574, -90577, -90582?\n\"Answer: -q**2 + 4*q - 90577","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -8268 divided by 2067.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*f = 7*f - 30. Suppose -1 = -p, 4*s - 6 - 13 = 5*p. Is s bigger than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 479 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 3032*j + 1418*j - 1980*j + 3109*j + 1421*j to w*j + q and give w.\nAnswer: 7000","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 3*h**2*q**3 - 24*h**2*q**2 - 9*h**2 - 70*q**3 wrt q.\nAnswer: 18*h**2 - 420","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 19 + -14. Let x = k + -4. Let t = 4.6 - 0.6. Which is the second smallest value?  (a) 3\/4  (b) t  (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -7882076, -7882074, -7882072, -7882070?\nAnswer: -7882068","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Express (-66*s - 487*s - 3271*s - 724*s - 190*s)*(-4*s + 4*s - 6*s) in the form o + w*s**2 + q*s and give w.\nAnswer: 28428","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -96910719 - -96910730.0100483. Let s = 11.01 - t. Round s to 5 dps.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(g) = 2*g**2 + 17*g - 4. Let u be -10*-5*(-6)\/25. Does 20 divide w(u)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-12)\/(-24)*630\/21?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -978 + 1062 = 12*v for v.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let n(z) = -z**2 + 411*z + 3360. Calculate n(-8).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 86, 99, 114, 131, 150, 171, 194?\nAnswer: 219","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 3539622?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -149\/2 - -1331\/18. Let w = l + 2\/9. Is w != -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 15 - 11. Let l = -29 + 39. Let o(v) = v - j + l + v**2 - 10 + v**2. Calculate o(-3).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.1 in -1, -249, 16, -31\/6?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 0 bigger than 3\/76?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Put 45, 5, 757, -11, -1, -107 in decreasing order.\nAnswer: 757, 45, 5, -1, -11, -107","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -22*g = 1022 + 1574. Which is smaller: g or -117?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be -3 + 8 - (-1 + 1). Suppose -15 = a*j - 70. Let b(m) = m**3 + 3*m**2 + m. Let v be b(-1). Calculate the highest common factor of v and j.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 213105437*d**2*j**3 + 3*d**2*j**2 - d**2 - 3*d*j**4 + 330*d - 5*j**2 + 3977*j - 2 wrt j.\nAnswer: 1278632622*d**2 - 72*d*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -15 + 30. Suppose 3*u - n = -2*u, 22 = 4*m + 2*u. Suppose -274 = -6*j + m*j. What is the tens digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -459 + 515 = 7*m for m.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -21976 + 21986. Suppose 4*p = 5*g + 103, 0 = 5*p + 2*g + 2*g - 98. Suppose w*r - p = -r. Solve 4*o - d = -8, -2*o + 0*o = r*d + 14 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1 in -0.8, -28, -7?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 144 to the power of 1\/7, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0?  (a) 15  (b) 2\/11  (c) 2  (d) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 0.31 + -2.71. Let h = 1.4 + k. Which is greater: -4 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*r + 3765*o - 12 = 3768*o, 2*r = o + 4 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Work out 11.9 * 0.0529104.\nAnswer: 0.62963376","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -144*q = -153*q - 18. Suppose -94*s - 144 = -106*s. Let c = -3 - -2. Sort q, c, s in ascending order.\nAnswer: q, c, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(m) = -1. Let u(l) = -7*l + 11. Let d(c) = -2*a(c) - u(c). Is d(22) a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -3*n**3 - 40665*n**2 + 122016*n - 81348 = 0. What is n?\nAnswer: -13558, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 65.9181 - 66.1181. Let s be -2*(-7)\/4*2. Let r = s + -4. What is the biggest value in r, 0.2, -5, l?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -15385*f**5*r + f**3*r**2 + f**2*r**2 - 9*f**2*r - 3*f*r**2 + 5*r**2 wrt f.\nAnswer: -923100*f**2*r + 6*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 0.18 - 4.13. Let n = w - 0.05. Let g = -3.1 - -2.6. Which is the smallest value?  (a) n  (b) 2  (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 16223050 to the nearest integer?\nAnswer: 253","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 4380556 is divided by 95.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.1?  (a) 41  (b) 0.16  (c) 1443  (d) -0.04\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: -12 + (11 - -11 - 12)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put 2\/91, -1\/8, 0.02, 0.5, 3\/2 in descending order.\nAnswer: 3\/2, 0.5, 2\/91, 0.02, -1\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -1457321*m**3 + 4*m**2 + 45*m + 983?\nAnswer: -8743926","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -978 = 4*c + 58*j, j - 4*j - 81 = 2*c + 2*j for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Divide 219167206 by -5923438.\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-6)\/15 + (-54)\/(-10). Which is the smallest value?  (a) y  (b) 0.8  (c) 0.4  (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 352493568 divided by -14343\nAnswer: -24576","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let j(t) = t**3 + 6*t**2 - 10*t - 14. What is j(-8)?\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {o: 2, x: 1, e: 3, z: 2, h: 4}. Give prob of sequence ex.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: 16*6\/(-60)*(-2835)\/(-252)\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 0.3 + -0.2. Let h(n) be the first derivative of -3*n**2\/2 - 45*n + 20. Let x be h(-13). Is x < j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -3*m**3 + 3*m**3 + m**5 + (0*m**2 + 2*m**3 + 0*m**2)*(-4*m**2 - m**2 + 4*m**2) - 2*m**5 - 3*m**5 + 2*m**5 - 10*m**5 - 18*m**5 + m**5.\nAnswer: -31*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let r be ((-12)\/(-10))\/((-12)\/(-40)). Let n(z) = 2*z**2 + 10*z - 27. Let g be n(-7). Differentiate -k**r + g + 9 + 7 with respect to k.\nAnswer: -4*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -26211000 rounded to the nearest 1000000?\nAnswer: -26000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 1\/(4\/(-6)) + 13\/2. Solve -2*j = -5*w + 3*j + o, -4 = j for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -9376, -15486, -18332, -17914, -14232?\nAnswer: -7286","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Find f, given that -2*f**5\/3 + 1274296*f**4 - 56068084*f**3 + 2010794648*f**2\/3 - 1177422694*f + 561951600 = 0.\nAnswer: 1, 21, 1911400","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let b be ((-1)\/1)\/(6\/5 + -1). Let i be (b - 0)*(-3)\/5*139. Let z = i - 145. Is z a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ici when three letters picked without replacement from cii.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -27\/208 and -17\/1351.\nAnswer: 281008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (5 + -12 - -6)\/((-2)\/(-50)). What is the common denominator of 9\/10 and (i\/54 + 0)\/((-3)\/45)?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -178.13 - -178.23. What is the nearest to 24 in 0.3, -12, -1\/4, k?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(i) = -2*i + 3. Let v be ((-2)\/2)\/((-13)\/91). Let m(o) be the first derivative of -3*o**2 + 9*o - 3. Give v*d(z) - 2*m(z).\nAnswer: -2*z + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 672 minutes before 3:31 AM?\nAnswer: 4:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -13747 or -13748?\nAnswer: -13748","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: -275 divided by -55\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 5143 - 5143.06083. What is d rounded to 3 dps?\nAnswer: -0.061","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 5859898, 5859899, 5859902, 5859907, 5859914, 5859923?\nAnswer: 5859934","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -3381952.05 + 3381767.050037. Let t = x - -185. Round t to six dps.\nAnswer: 0.000037","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 149425592*m**5 + 52092*m**2 - 3965?\nAnswer: 8965535520*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 12340\/5119 or 3?\nAnswer: 12340\/5119","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -2230 + 5462. What are the prime factors of v?\nAnswer: 2, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*d + 17 = 4*h - 2*d, -5*h = 5*d - 25. Let n be (-6)\/4*((-70)\/21 + h). Let y(i) = -5*i**2 + 4*i - 2. Give y(n).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*d - 32 = -0*j + j, 3*j = -4*d + 18. Let k be (20\/6)\/(1\/d). Suppose -57*m + 1193 = -2227. Calculate the highest common divisor of k and m.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -95068224*y**3 - 9*y**2 + 3*y - 388295.\nAnswer: -570409344","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 3, -38, -151, -372, -737, -1282?\n\"Answer: -6*b**3 + b + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from bbbbbbbbb. What is prob of picking 3 b?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (72\/32)\/((-3)\/(-16)) + 0. Suppose -2*t = 2*i - 36, 2*i = 2*t + i - 27. What is the highest common factor of t and h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-204)\/(-21) + 2\/7. Solve 2 = 3*m - 4*m, 0 = 2*v - 3*m - x for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*n + 510 = -5*n - 4*g, 0 = 5*g. Let c = n - -99. Let l be (18\/2)\/c*(-10)\/6. Solve -14 = -l*f - 3*o, -4*o - 3 - 5 = 0 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.1 times -80?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Convert 29 (base 14) to base 12.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -28302, -28534, -28800, -29100, -29434, -29802, -30204?\nAnswer: -30640","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.11 and -297448?\nAnswer: 32719.28","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"}
{"text":"Question: Let m = -138 - -397. Suppose r - m = -r + 5*x, -4*r = -x - 509. What is the hundreds digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(q) = q**2 + 12*q - 8. Let z(d) = -3*d + 1. Let p be z(3). Let n be y(p). Let s = 85 + n. What is the units digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in 9161.46 decades?\nAnswer: 91614.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o(c) be the second derivative of -2\/15*c**5 + 2*c - 1\/18*c**3 + 0*c**2 + 7\/36*c**4 - 8\/45*c**6 + 0. Factor o(q).\nAnswer: -q*(q + 1)*(4*q - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(i) be the first derivative of i**3\/3 + i**2\/2 - 16*i - 31. Let j be u(-7). Calculate the greatest common divisor of j and 286.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose v + 2*y - 5 = 0, 5*v - 18 = 3*y - 6*y. Let m be (-1)\/((3\/(-675) - -1) + -1). Let n = m - 206. Solve -31 = -5*u + 3*l, 0*u - 2*l = -v*u + n for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-2)\/5)\/(154\/(-490)*-7)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is nine tenths of a millimeter in micrometers?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 496\/(-6)*-28*(-96)\/3584.\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 1117 and 11372177?\nAnswer: 1117","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is -68404000 rounded to the nearest one million?\nAnswer: -68000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let n(v) = -2*v**2 + 2*v - 3. Let k = 2 - -2. Let m(g) = -4994*g + 1 - 3 + 4996*g - 2*g**2. Give k*m(p) - 3*n(p).\nAnswer: -2*p**2 + 2*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -1424 - -102?\nAnswer: -1322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 6596343 and 637?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1451*m + 4*i = 1463*m + 92, -34 = -2*i for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -72 - -65. Let y be k\/(4*2\/72). List the prime factors of (2 + y)*((-7 - -1) + 5).\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -101010 (base 2) in base 16?\nAnswer: -2a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.9517 and 0.3?\nAnswer: 0.28551","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 7747?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*n + 9 = -5*c, 8 = -5*c + 5*n + 3. Let b be c*(-200)\/(-45)*-6. Suppose a + 2*d = 31 - 0, 5*a - b = 5*d. Does 7 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1\/2?  (a) 1  (b) -51  (c) -0.4  (d) 3.554\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"}
{"text":"Question: Let x be 214\/6 - 17\/(663\/26). Solve 20*v - 2*y - 1 = 21*v, x = 4*v - 5*y for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.9 * -0.773\nAnswer: -0.6957","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let w(a) be the third derivative of a**5\/15 + a**4\/24 - a**3 + 19*a**2. Let x be w(5). What is the highest common divisor of x and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in 0, 0.5, -586, 2\/5, 3?\nAnswer: -586","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 17 - 14. Suppose 0 = 4*t - j, -3*t + 0*t + d*j = 0. Is t less than 4\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(r) = r**2 - 14*r - 17. Let z be g(16). Let h be (-5)\/(-25) - (-597)\/z. Calculate the greatest common factor of 8 and h.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.4 take away -413?\nAnswer: 413.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -15\/520586 and -9\/118315.\nAnswer: 2602930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let m(c) = 1719*c + 3495. Give m(-2).\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Find c, given that -6*c**5\/5 - 8736*c**4\/5 + 35028*c**3\/5 - 17544*c**2\/5 - 35022*c\/5 + 5256 = 0.\nAnswer: -1460, -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 r and 1 a when two letters picked without replacement from {a: 1, r: 1, s: 1, e: 1, h: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4 + 55454522*p**3 + 4 - 55454453*p**3.\nAnswer: 69*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let q(z) be the third derivative of 0 + 0*z + 1\/6*z**4 + z**2 + z**3. Determine q(-4).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(l) = l**3 + 5*l**2 + 2*l - 5. Let j be u(-4). Let h be (j\/(-3))\/(2\/(-8)). Suppose -3*x - h + 16 = 0. Is 3 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(f) = 4*f - 3*f + 4*f**2 + 1 - 2*f - 5*f**2. Let v(n) = -5*n**2 - 6*n + 4. Suppose 0 = 3*m + 4*t + 11, -2*m - 3*t = -7*t - 6. Give m*v(j) + 4*x(j).\nAnswer: j**2 + 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 0.31 - 0.11. Let x = 4.39 + 0.61. Suppose 5*d - 25 = 0, 4*k - 6 = -5*d + 11. Which is the third smallest value?  (a) k  (b) x  (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(b) be the third derivative of -3*b**6\/20 + 13*b**4\/24 + 9*b**2. What is the second derivative of m(y) wrt y?\nAnswer: -108*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*a = 270 - 57. Let l = -32 + a. Calculate the remainder when 113 is divided by l.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*r**3 + r**2 - r**2)*(3 - 3 + 2)*(-r + 0*r - 3*r).\nAnswer: 16*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let a(s) = -s**2 + 16*s - 12. Let c be a(14). What is the third derivative of 24 + 5*r**4 + c*r**4 + 2*r**2 - 4*r**4 wrt r?\nAnswer: 408*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 51494\/115 - -42\/23. Let j = k - 9061\/20. Calculate the common denominator of -17\/14 and j.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 43 - 30. What are the prime factors of w?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 189 less than or equal to 187?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 1342 and 4137142?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*u - 23 = -4*s, -s + 5*s + 4 = 4*u. Suppose 3*w = -4*y + 139, -6*w + 3*w = -u*y - 132. Calculate the greatest common factor of w and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 7 a factor of 609?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let n(w) = w**3 + 6*w**2 + 5*w - 10. Let p(g) = g**3 - g - 2. Let o(m) = -n(m) + 2*p(m). Let u be (8\/(-12))\/((-1)\/(-9)). Let f = u + 13. Calculate o(f).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 54770 + -54714. Let v = -250 + 530. Calculate the highest common divisor of v and l.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 744 and 24084672.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 34939901.2 rounded to the nearest one million?\nAnswer: 35000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 21 + -18. Let h(k) = -k**3 + k**2 - k + 4. Determine h(x).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -26173 - -43948. List the prime factors of j.\nAnswer: 3, 5, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (5 + -23)*15\/((-45)\/2).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 20698?\nAnswer: 2, 79, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let x be -11 + 8 + 2*3. Suppose 0 = x*w + i - 1407, 0*w - 461 = -w - 3*i. Let j(r) = w*r - 470*r + r**2. Let t(c) = -11*c**2. Determine t(j(h)).\nAnswer: -11*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1\/4 in 535, -0.1, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 110300950*t**3 + 79502633*t**2?\nAnswer: 661805700","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 22252?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {b: 4, t: 2, s: 2, z: 1}. What is prob of picking 1 b and 1 z?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is -3 (base 15) in base 10?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 20345045 - 1314?\nAnswer: 20343331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: How many kilograms are there in 892661.9 tonnes?\nAnswer: 892661900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -4\/23  (b) 0.3  (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: -3*6651.3\nAnswer: -19953.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let u(f) = -4*f**2 + 40*f + 10. Calculate u(10).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-59)\/(-4 - (-40)\/8). Which is bigger: d or 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 6174 and 7686.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5 + 4 = -f. Let o be f\/3 + 995106\/(-9). Let y = o + 223567. What is y rounded to the nearest ten thousand?\nAnswer: 110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -9 - (-9 + (3 - -3)) - (-58 + 35)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 105 is divided by 41.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.4*-3910.\nAnswer: 1564","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let f(i) = i**3 + 67*i**2 - 81*i - 658. Give f(-68).\nAnswer: 226","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: -212 divided by -2\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is -63 (base 11) in base 2?\nAnswer: -1000101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z(n) = 11*n + 2 + 7*n + 4 - 22*n. Suppose 0*t - t + 7 = 0. Let f(o) = 9*o - 13. Calculate t*z(c) + 3*f(c).\nAnswer: -c + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4 = 4*w, 5*t - 9388 = 5*w + 9022. Suppose -5*d + 12 + t = 0. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2 = s + 1, 2*v + 3*s = -3. Suppose 2*d - v - 3 = -y, 2*d = 2*y - 18. Let m(j) = j**2 + j + 2. Calculate the least common multiple of y and m(-5).\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 14596335 at least 14596318?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, -17, 3, -2 in decreasing order.\nAnswer: 3, -1, -2, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*t - 9297 + 9283 = -w, w - 12 = 2*t for w.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 355201 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 5544 and 354?\nAnswer: 327096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00243 rounded to 3 decimal places?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 1 + 11 + (0 - 0). Suppose -4*h + k = -28. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 0 + 149 + (4 - 4).\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 0*i - 2*i + 3*i - 10 wrt i.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3920*r**3 - 3184*r**3 + 1253*r**3.\nAnswer: -5851*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-18)\/(-15) - (-1)\/(-5). Suppose -m - 1 - h = 0. Let n = -4 + 2. Is m smaller than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 12 divided by -162.\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Divide 0 by 3756.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let a(v) = v**3 + 2*v**2 - 22*v - 52. Let r be a(-4). Put 3, 73, 1, r in decreasing order.\nAnswer: 73, r, 3, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*f - 12 + 32. Let h(l) = -3*l**3 - 6*l**2 - 4*l - 3. Let m be h(f). Suppose -o + m = 6*u - u, 85 = 4*u + 3*o. What is the units digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -26\/2830093 and -60\/12691.\nAnswer: 2830093","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve s + 12 = 17 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-6*(-6)\/(-9))\/(-2). Suppose c*q - 5*u = 15, 2*q + 3*u + 3 = -6. Let o(y) = y - 1. Let k be o(1). Is q greater than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -0.0831 and -16049?\nAnswer: 16048.9169","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 18?  (a) -9  (b) 30  (c) -62  (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let y(x) be the third derivative of x**5\/30 - 7*x**4\/24 - 19*x**3\/6 + 140*x**2. Determine y(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7 + 7 = 2*a - 3*p, 3*a = 3*p + 18 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Sort -6, 3, -5 in descending order.\nAnswer: 3, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -6 and 26468?\nAnswer: 26474","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: 407939 divided by 186\nAnswer: 407939\/186","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is (-14)\/(-8) + -2 + -18 + (258951\/(-76))\/59?\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be ((-10)\/4)\/(1290\/516). What is the nearest to c in -3, -2\/69, -0.1, 0.4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (5\/(-2))\/(1\/2). Suppose -2*l = 5*u + 8, 0 = -3*l - 5*u - 3 + 1. Suppose -p + 31 = -4*v - l*p, -4*v - 13 = -p. Is v greater than y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 2, 11, 24, 41?\n\"Answer: 2*n**2 + 3*n - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -239\/1496 + -3\/136. Let q be 1*(66\/42 + -2). Let u = 0.5 - 0. What is the biggest value in q, c, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -87914\/7 - -12559. Let i = 50.1 - 53. Let r = 3 + i. Which is the nearest to r?  (a) 1\/6  (b) g  (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 176 or 71861?\nAnswer: 176","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 2\/(-9) + -111*36\/(-486).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(k) = k**3 - 10*k**2 - 25*k + 8. Let q be t(12). Sort q, 5, 1 in ascending order.\nAnswer: q, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -7 - -8. Let g(u) = q - 5 + 5 - 3*u + 4*u. Let y be g(-1). Solve -2*a - 3*j - 23 = y, 10*a = 5*a + j - 15 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 79945.71 litres in millilitres?\nAnswer: 79945710","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 58 + -55. Suppose x*h = h - 34. What is the third biggest value in h, -4\/5, -3?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3344067?\nAnswer: 3, 43, 8641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 276552 a multiple of 167?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -24 = 2*q - 4*j, -63*j + 59*j + 7 = 3*q - 7 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -90 - (50 + -52 - (9 - (6 + 1) - 5)).\nAnswer: -91","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-2 + sqrt(1100))*2)**2*6.\nAnswer: -960*sqrt(11) + 26496","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -24, -33, -56, -99, -168?\n\"Answer: -l**3 - l**2 + l - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 s and 2 w when three letters picked without replacement from vdwvwevdwdvds?\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1913753.\nAnswer: 61, 137, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -8800, -17646, -26492, -35338, -44184?\nAnswer: -53030","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (6392\/(12502\/(-133)))\/(12\/15)?\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w(b) be the third derivative of b**4\/24 + b**3\/3 - 2*b**2 + 21*b. Let g be w(1). Solve 2*y + g*q = -2*q + 25, -4*y - 25 = -5*q for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 13995 - 11141. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(z) = -z**3 + 30*z**2 + 94*z + 94. What is the thousands digit of k(-19)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -28*185\/(55685\/258)?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*b**3 - 856*b**2 + 43910*b - 351500.\nAnswer: -2*(b - 37)*(b - 10)*(b + 475)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -2 - -1 - (-32 - -28)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*j = 25, -3*u = -0*u - 4*j + 32. Let d be 442 - 4\/8*u. Does 9 divide -1*d\/(-7) - (-9)\/(-21)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -3\/47?  (a) 1\/8  (b) -0.4  (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w**(3\/4)*w*w**2)\/(w**(-2)*w**(2\/17)\/w) assuming w is positive.\nAnswer: w**(451\/68)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -69*q + 27*q + 29*q.\nAnswer: -13*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 10245, 9504, 8239, 6426, 4041, 1060, -2541?\nAnswer: -6786","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j(t) = -2*t**3 - 2*t**2 + t - 2. Let n be j(-2). Let i = -2401 - -2906. Suppose -k = n*k - i. What are the prime factors of k?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*m = 4*u + 88, -38 = 4*m + u + 35. Let w = -13 - m. Suppose -2*a - 5*r = -4 - 2, -w*r + 32 = 5*a. What is the highest common divisor of a and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 273 and 73086?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -103 - -122. Which is smaller: l or 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 1485 and 21?\nAnswer: 10395","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 138 = 75*r - 52*r for r.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Divide 79 by -103.\nAnswer: -79\/103","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f**(1\/13)*f**(3\/5))\/(f**(2\/7)*f**(12\/5)*f*f) assuming f is positive.\nAnswer: f**(-1824\/455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -4*c + 12, -5*g + 2*c - 14 = -c for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00016685004 rounded to 7 dps?\nAnswer: -0.0001669","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2*d - 182 + 0*d + 184 + 0*d to the form i + r*d and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let q(t) = t**2 - 9*t - 8. Let h be -3 + 16*1 + -3. Let a be q(h). Solve 2*c - 6 = -a for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 176*c**4 - 356*c**3 - 78932*c**2 + 686036*c + 176436 = 0. Calculate c.\nAnswer: -261\/11, -1\/4, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 679 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -3810894.81 rounded to the nearest one hundred?\nAnswer: -3810900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t**(1\/4)*t)**20\/(t**(-19)\/(t\/(t*t\/(t\/((t*t**(-6\/11))\/t))))) assuming t is positive.\nAnswer: t**(490\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Convert 75 (base 12) to base 14.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 5\/(-2)*(-44)\/5. Calculate the highest common factor of h and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, 2\/19, 0.69, -0.33 in decreasing order.\nAnswer: 0.69, 2\/19, -0.33, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let g(x) = x**3 + x**2 - 5*x - 14. Let b be g(-4). Let r be (-2128)\/b - (2 - 8\/6). Calculate the greatest common factor of 20 and r.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(x) = -2*x**2. Let d(g) = 20*g**2 - g + 26. Calculate d(n(s)).\nAnswer: 80*s**4 + 2*s**2 + 26","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 45*p + 1277 = 352*p - 565 for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence zz when two letters picked without replacement from zoozoozzzz.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let z(o) be the third derivative of -13*o**5\/60 - 166*o**2 - 5. Let b(g) = -g**2 - 56*g. Calculate b(z(u)).\nAnswer: -169*u**4 + 728*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 63*i + 116890 = 67*i - 3*s, 3*s + 58448 = 2*i. What is the ten thousands digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence yc when two letters picked without replacement from ywcwyzcywcocwcycocox.\nAnswer: 7\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let m(r) = -r - 9. Let f be m(-9). Suppose -15 = -y - f*y. Solve 0 = -3*g - 2*h, -4*h + y = h for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 4014 is divided by 1335.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 183404 to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: 5499809 divided by -6\nAnswer: -5499809\/6","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"}
{"text":"Question: Let d(k) = -k**3 + 5*k**2 + 6*k - 3. Let u be d(6). Suppose y - 9 = -2*i - 0*y, 3*y - 21 = -3*i. Suppose i*n = 3*n. Sort n, -1, u.\nAnswer: u, -1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -110202*n + 3*n**2 + 110202*n.\nAnswer: 3*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*q - f + 12, -4*f = 4*q - 7 - 1. Suppose 12 = 4*a + 2*b, -2*a - 6 = -4*a + q*b. Let g be (a - -2)\/(1 + 0). Put 2, g, 3 in descending order.\nAnswer: g, 3, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c**(1\/4)\/(c\/c**(-1)))\/(c**0*c**(-3))*(c**(1\/2)*c)**(-1\/18)*(c**1)**(-2) assuming c is positive.\nAnswer: c**(-5\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let h(l) = 32*l - 10. Let z be h(6). Let g be 10\/(-65) - (-80)\/z. Determine k, given that -g*k**4 + 2\/7*k + 6\/7*k**3 + 0 - 6\/7*k**2 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 18618 is divided by 252?\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Put -229, 10, 564, -5, -4 in descending order.\nAnswer: 564, 10, -4, -5, -229","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 5 - -12?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let r(v) be the second derivative of 10*v**2 - 2\/3*v**3 - 6 + 1\/60*v**4 - 11*v. Factor r(f).\nAnswer: (f - 10)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(l) = 1 - 8 + l - l**3 + 7*l**2 - 3. Suppose -2*b = 2*b - 16. Suppose 5*t + 4*p = 51, -2*t - b*p + 3*p = -18. Give v(t).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express j**2 + 3*j**2 - j**2 + (-2*j - 2*j + 5*j)*(5*j - 4*j + 2*j) - 8*j**2 + 3*j**2 + 3*j**2 in the form k*j**2 + z + x*j and give k.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 584 minutes after 10:09 PM?\nAnswer: 7:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 18*a**2*h**3 - 12*a**2*h - 21*a*h**3 + 2*h - 32 wrt h?\nAnswer: 108*a**2*h - 126*a*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (868 - 427 + 649 + 382 + 1326)*(42 - 8*g**4 - 42) to j*g**4 + k + t*g**2 + d*g**3 + o*g and give j.\nAnswer: -22384","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*y + 4*v - 28 = 0, 0 = -38*y + 40*y - 2*v for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 47 + -54 - ((-1 - -4) + -3 + -4).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence pk when two letters picked without replacement from {m: 4, k: 2, l: 9, p: 1}.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let l(w) = w**2 + 8*w - 4. Let q(k) = 0*k + 3*k**3 + 1 - 2*k - 2 - k**2 + 5*k**3. Let x be q(-1). Let i be l(x). Let f(t) = -3*t. Determine f(i).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -31 = -2*w - 25 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let n(s) be the third derivative of -s**5\/60 + s**2. Let q(o) = -27*o**2 - 12*o - 6. Let j(g) = 26*g**2 + 16*g + 8. Let y(m) = 3*j(m) + 4*q(m). What is n(y(v))?\nAnswer: -900*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let c(z) = 6*z**2. Let m(b) = 3*b**2 - 4*b. Let j(v) be the second derivative of -2*v**4\/3 + 11*v**3\/6 - 15*v. Let n(s) = 4*j(s) + 11*m(s). Determine n(c(w)).\nAnswer: 36*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (3\/(99\/(-2)))\/(7\/21). Let j be (1\/3)\/((-1)\/(-6)). What is the third biggest value in i, -4, j?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (7\/(-4) - 2)\/(63\/(-21504)). Solve -81*s**4 + 80*s**3 - 81*s**4 + 157*s**4 + 1280*s - j - 480*s**2 = 0.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 36, 39, -11, 3, -4.\nAnswer: -11, -4, 3, 36, 39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let o(l) = 2*l + 16. Determine o(0).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0000390919256 rounded to 6 dps?\nAnswer: 0.000039","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of (-92)\/(-11730)*15 + (112147\/17 - -2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: 202.348866 * 0.5\nAnswer: 101.174433","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -0.1 and 14.6131?\nAnswer: 14.7131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 6  (b) 56  (c) -1  (d) -0.16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence yy when two letters picked without replacement from yyyyy?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -23 - -108. Suppose x - 5*t = z + 17, x = 4*t + 99. Is 14 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 2 or 6.225?\nAnswer: 6.225","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1203?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 6 and 143602.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 586 minutes after 1:35 AM?\nAnswer: 11:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -6, 368, -0.5, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 9*y + 61*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 1 + 3. Suppose 0 = -x + m. Suppose 3*i + 9 = 21. What is the greatest common divisor of i and x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*o - 32 = 8. Let c = 6 + o. Let p = 277 + -1113\/4. Sort p, c, 1 in descending order.\nAnswer: 1, p, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -z - 20. Let a be (3\/(-3) - z)*1. Suppose -3*b + 57 = b + 5*r, 3*b - r - a = 0. Calculate the greatest common divisor of b and 72.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -15\/11053084 and 113\/9324.\nAnswer: 99477756","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 945*g = 947*g + 3*m - 121116, -m = -5*g + 302739. What are the prime factors of g?\nAnswer: 3, 20183","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 674 and 3033.\nAnswer: 6066","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:01 AM and 11:29 AM?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let f(d) = 430*d**3 + 591*d + 8. Let y(u) = -428*u**3 - 593*u - 10. Let b(g) = -5*f(g) - 4*y(g). Find the second derivative of b(l) wrt l.\nAnswer: -2628*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(d) = -d**3 - 39*d**2 - 361*d + 152. What is i(-23)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 + 1 - 1 + (-1 + 0 + 0)*(2 + 3 - 4) - 5 + 4 + 2)*(-698*c**5 + 4610*c**4 - 4610*c**4) + 2*c**5 - 2*c**5 + c**5.\nAnswer: -697*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let q(s) be the second derivative of s**8\/840 - s**7\/140 + s**6\/90 + 2*s**3\/3 + 2*s. Let f(o) be the second derivative of q(o). Find a, given that f(a) = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4 = -2*d + 4*d. Let f(x) = 3*x**2 + x - 1. Let y be f(1). Let i be ((-3)\/(-3)*-4)\/y. Which is the second smallest value?  (a) i  (b) d  (c) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 308018881?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: -2+-104257478\nAnswer: -104257480","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 17\/90 - -1\/30. Let l = 277\/380 + 2\/95. What is the third smallest value in -5, r, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 591 minutes before 6:46 PM?\nAnswer: 8:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (86\/(-12))\/((-1240)\/80). Let v = o - 4\/31. Factor -v*p**5 + 0 - p**3 + 0*p + 1\/3*p**2 + p**4.\nAnswer: -p**2*(p - 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((t\/(t**(3\/4)*t*t))\/t**(1\/11))\/(t**(-2\/3)*t)**(29\/3))**43)**(-6) assuming t is positive.\nAnswer: t**(86215\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 6173, 12335, 18499, 24665, 30833, 37003?\n\"Answer: g**2 + 6159*g + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2\/11?  (a) -9  (b) 3\/5  (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-14)\/6*(1900\/(-57))\/((-17)\/((-255)\/70)).\nAnswer: 50\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {k: 2, r: 1, i: 6, q: 5, c: 1, u: 1}. Give prob of sequence ciui.\nAnswer: 1\/1456","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 5.2888 + -0.2888. Which is the nearest to q?  (a) -1\/2  (b) -1\/5  (c) 4  (d) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 m and 2 n when four letters picked without replacement from {m: 11, n: 5}?\nAnswer: 55\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let g(o) = -o**2 - 5. Suppose -5*s - 50 = -0*s. Let p(y) = -1. Let c = 29 - 27. What is c*g(t) + s*p(t)?\nAnswer: -2*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:25 AM and 9:37 AM?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -5 in -3, -3\/10, -472, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let y(b) = 10*b + 509. Let s(g) = -9*g - 420. Calculate -5*s(i) - 4*y(i).\nAnswer: 5*i + 64","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 1\/((4\/6)\/2). Suppose 7*x = p*x. Solve -2*n - 2*n = 2*c + 12, x = -5*n - 5*c - 20 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3*(sqrt(77) + sqrt(77)*4*-2)*3)\/((sqrt(132) + (sqrt(132) - sqrt(132)*2) - sqrt(132))\/sqrt(12) - (sqrt(704) - (-1*sqrt(704) - sqrt(704)))).\nAnswer: 63*sqrt(7)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-166)\/(-3) - 1\/3. Let c(p) = -2*p - 108 + j + 49. Let b(z) = z**3 + 8*z**2 - 19*z + 7. Let q be b(-10). What is c(q)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 7.2 times -6\nAnswer: -43.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Factor -7*v**4 - 646*v**3 - 17236*v**2 - 103656*v - 28224.\nAnswer: -(v + 8)*(v + 42)**2*(7*v + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (170247\/42009)\/((-10)\/(-38)).\nAnswer: 77\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 0.3  (b) 5\/4  (c) 24544  (d) 3  (e) 1  (f) 0.02\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Express (1 - 1 + 2)*(-a + 3*a - 4*a) + (-1050 + 227*a + 1050)*(-4 + 2 + 0) as y*a + j and give y.\nAnswer: -458","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -1432*d**3*p*r**2 - d**2*p*r - 2*d*p*r**2 - 67*d + 34*p - 6*r wrt d?\nAnswer: -8592*d*p*r**2 - 2*p*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -8 or 269?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify c**(1\/6)\/(c*c**1)*(c**(2\/5))**24 assuming c is positive.\nAnswer: c**(233\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -0.05287 - -0.15287. Which is the closest to 0?  (a) -1  (b) -3\/5  (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(l) = 5*l**3 + 112*l - 112. Let x be i(1). Solve 2*f = -x*s + 5, -f + 6*s = 3*s + 3 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 57 - 2. What is the remainder when -1 - -1 - u\/(-5) is divided by 9?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from mssmmss. What is prob of picking 1 m and 3 s?\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-252)\/(-108))\/(3*1\/9).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 892191 and 49.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2729.\nAnswer: 2729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Round -100603.695 to the nearest ten.\nAnswer: -100600","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 637, 2495, 5581, 9895, 15437, 22207?\n\"Answer: 614*u**2 + 16*u + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*a - 2387 = -3*f, 14*f + 2*a = 11*f + 2393. List the prime factors of f.\nAnswer: 797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 2078 + -2077. Which is bigger: 2\/1775 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*h = -250 + 49. Calculate the remainder when h is divided by 23.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: 115.9 + 126143228070\nAnswer: 126143228185.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0800965 to 2 dps.\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 19 + -18.999991. Round t to five dps.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (25 - 39 - -88) + -61?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 141*i**2*p**3 + i**2*p**2 + 3*i**2*p - 13*i**2 + 4*i*p - 27*i + 36*p**3 wrt p.\nAnswer: 846*i**2*p + 2*i**2 + 216*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from cqqcccccccc. Give prob of picking 1 q and 1 c.\nAnswer: 18\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 141 minutes after 4:51 AM?\nAnswer: 7:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (52\/(-12) - -4)*(-1 - 2). Suppose -5*a = 4*b + 11, 3*b + 4*a + 10 - z = 0. Solve 4*d - 4*w + 28 = -0*w, -d - w + b = 0 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -301.99498 to the nearest one hundred.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 1384638259 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Divide 19 by 220.\nAnswer: 19\/220","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in 2\/3, -3, -14, 0.009, 1\/10, 1, 90?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 304064351 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 (base 13) in base 11?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q(h) = 13*h**2 + 4*h. Let t(g) = -14*g**2 - 3*g. Let y(x) = -2*q(x) - 3*t(x). Find the second derivative of y(l) wrt l.\nAnswer: 32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*v + 10 = -5*p + 39, 4*v = 3*p - 27. Is p > 9\/1136?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(r) = 2*r**2 + 49*r - 324. What is n(6)?\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: -535337+5052\nAnswer: -530285","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 5 a factor of 122359?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*i + 6 = 9*i. Suppose 0*g - 6 = -i*g. Differentiate -1 + 8*p**g + 4 - 9 + 0*p**3 with respect to p.\nAnswer: 24*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1186*v + 537*v + 5578*v.\nAnswer: 7301*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: 31680 times -0.1\nAnswer: -3168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 33 + 20 - c**3 - 57 to the form u + x*c**3 + a*c**2 + m*c and give u.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 180\/48 - (-1)\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*s = -i - 7059, 4*s - 4*i - 2250 = 4818. List the prime factors of s.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*w + 155 + 315. Let i be -3 + w + (5 - 3). Calculate the remainder when (i - 4\/2) + -3 is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is 5 divided by 21118?\nAnswer: 5\/21118","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 56.4496 + -56.4. Let m = q + -0.0496. What is the third biggest value in m, -0.5, -1, -5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, 4, 6011 in increasing order.\nAnswer: -3, 4, 6011","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let h(v) = 2*v**2 + 1. Let r be h(1). Let y be (-2)\/(8\/6)*10\/45. Sort y, 0.6, -0.2, r.\nAnswer: y, -0.2, 0.6, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -81*p + 76*p - 2*c = -42204, -p + c + 8438 = 0. What are the prime factors of p?\nAnswer: 2, 5, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 72586 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let y be ((-4)\/(-170))\/(2\/(-10)). Let p be ((-2)\/4)\/((-1)\/6). Let t be 2*((-15)\/6 + p). Is y < t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 0.04 - -2.96. Let f = -1.3 - 1.3. Let g = f + 3.6. What is the closest to g in -1\/6, -2\/3, p?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -11 = -2*z + r, 129*z + 1 = 130*z + 4*r for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -88 + 369. Let g = f + -1970\/7. Which is the second biggest value?  (a) 26  (b) g  (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -16*z - 232 = -3512. Let k = 1643\/8 - z. Which is bigger: -0.1 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -0.13 - -0.53. Suppose -2*z + u = -4 + 1, 0 = -z - u + 3. Let y be ((-3)\/(-18))\/(z + -3). What is the nearest to 0 in 3, f, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 100001000001101001010 (base 2) to base 16.\nAnswer: 10834a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is (-96)\/10 + 889\/(-635)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-1036)\/(-9768)*22*(-102)\/7.\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 8.041082 weeks in seconds?\nAnswer: 4863246.3936","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 558*t + 356 = -30334 for t.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (2 - (-2 + 4))*(-4)\/(-12). Solve -20 = -5*l - w for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 3.81986 - 0.11066. What is t rounded to zero dps?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(n) = -1093*n + 13088. Calculate u(11).\nAnswer: 1065","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*c - 23 = 4*o, 5*o + 0*c = -2*c - 23. Let p(s) = -2*s + 2. Let n(a) = -2*a + 3. What is o*p(j) + 4*n(j)?\nAnswer: 2*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let m(q) = -10*q**2 - 7*q + 51. Let b(x) = -3*x + 2520 - 3*x**2 - 2503 + 0*x**2 + x. Give 7*b(y) - 2*m(y).\nAnswer: -y**2 + 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 4920 - 2803. What is the units digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(45)\/(sqrt(9) - (-2*sqrt(99))\/sqrt(11) - sqrt(9))*2)**2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 18*f - 19*f = g - 7310, 7290 = g - 4*f. What is the hundreds digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1\/4 in -235, 0.2, -3, 2, -4\/9?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Express -7 + 15 - u**2 - 24 - 4*u as l*u**2 + z*u + p and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 0*(2\/(-8) + (-20)\/80). Let j(l) = l**2 - 2*l - 30. Let i be j(g). Let m be (-33)\/4 + i\/(-24). Which is bigger: -6 or m?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 174 and 58.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 24*h**2*v + 90*h**2 - 4*v + 5 wrt v?\nAnswer: 24*h**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -3*8*(-5541)\/(-7388)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 6703727 to the power of 1\/2, to the nearest integer?\nAnswer: 2589","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence foo when three letters picked without replacement from ooofof?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2\/41?  (a) -3  (b) -4  (c) 11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is -485871 divided by -1?\nAnswer: 485871","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y\/y**(-1)*y)**(-22)*(y**(1\/5)\/y)\/(y*y**(1\/3)) assuming y is positive.\nAnswer: y**(-1022\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let v(r) = -43*r + 2. Let k(s) = -41*s + 3. Calculate 6*k(q) - 5*v(q).\nAnswer: -31*q + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let h(x) = 221*x**3 - 39*x**2 + 39*x - 39. Let m(y) = 22*y**3 - 4*y**2 + 4*y - 4. Give -4*h(f) + 39*m(f).\nAnswer: -26*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (44 - 65) + 35 - (3 + -5 - -7 - 103).\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert 122 (base 3) to base 13.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7*h - 36 = 4*h - 4*s, 54*h - 4764*s = -4769*s + 45 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.3 in -1\/2, -0.3, -4, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-50)\/8*(-13808)\/(-17260).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -37728930 rounded to the nearest 10000?\nAnswer: -37730000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 27*((-9282)\/189)\/(-17) is divided by 17.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*t**2\/3 + 160*t\/3 - 52.\nAnswer: -4*(t - 39)*(t - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose o = -5*z + 31, 0 = 3*z - 0*o - 5*o - 13. Let y be (-55)\/15 - (-4)\/z. Sort 2, 4, y in increasing order.\nAnswer: y, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: 976\/3840 - ((-990)\/(-160) - 6)\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -23*x + 4*x = -38 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.2 in 2, 0.24, 0.01, -2?\nAnswer: 0.24","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 57, 239, 617, 1251, 2201, 3527, 5289?\nAnswer: 7547","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (7\/(-2))\/(((-150)\/12)\/(-25)). Let w(f) = -63*f - 448. Give w(j).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-20102)\/(-209) + -1 + (-9)\/(-11). Which is bigger: s or 98?\nAnswer: 98","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:10 AM and 12:06 PM?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let d(o) = -2997*o - 232. What is d(-1)?\nAnswer: 2765","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10*r + 7969 + 10621 = 0. List the prime factors of r.\nAnswer: 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be -2*(60\/(-8) + 0). Suppose 0 = -2*a + j + 13. Let d = a - 11. Let k(z) = 4*z - 1. What is k(d)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 7418376?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-1)\/((-15)\/48) + -3 - 31328\/(-160). Calculate the greatest common divisor of o and 11417.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -f + 2*p + 35 = 0, 2382*f + 4*p = 2379*f - 75 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 + 4 - 5)*(-n**3 - n**2 + n**2) + 35*n**2 - 862 - 6*n**3 - 875 + 1738.\nAnswer: -8*n**3 + 35*n**2 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is -2703.8 rounded to the nearest 1000?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1\/3 in -1\/7, 0, -0.3, 2, -204903?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 5.5 + -2. Let i = -0.5 - q. Which is the second biggest value?  (a) 0.1  (b) 1  (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 21*b = -0*b + 462. Calculate the highest common divisor of 2662 and b.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 16*m - 2*m + 154. Let d(w) = -2*w**3 - 23*w**2 - 17*w + 10. What are the prime factors of d(m)?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 (base 13) in base 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 28508 is divided by 51?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 940 and ((-5345)\/3207)\/((-1)\/135)?\nAnswer: 42300","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 7 - 5. Let l = 11 - k. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 100, 777, 2608, 6169, 12036, 20785?\nAnswer: 32992","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 44176 + -27258. Is 12 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -8?  (a) 3\/4  (b) -5  (c) -8762\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00001751 to 6 decimal places.\nAnswer: -0.000018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5*(-2 + sqrt(833) + 1 + -3 + 1 + (sqrt(833) + -1)*2)*-4*-3)**2.\nAnswer: -756000*sqrt(17) + 27079200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 609\/2 - 303. Find v such that 0 + 1\/4*v**4 - 9\/8*v**3 - 1\/2*v + 3\/8*v**5 - f*v**2 = 0.\nAnswer: -1, -2\/3, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 845734327?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let q(z) = 371*z**2 - 748*z**2 + 380*z**2. Let j(x) be the second derivative of x**4\/12 + 2*x. Give j(q(c)).\nAnswer: 9*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: 5892462 divided by -774\nAnswer: -7613","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 44032 a multiple of 172?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -2 + 0. Let h be 0 + (-1)\/(d\/2). Let m(n) = -1 - 2*n - h - 1. Determine m(-5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 (base 16) in base 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {s: 2, a: 1, k: 1}. Give prob of picking 1 k, 1 a, and 1 s.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 631 + -628. Let x(q) = 8 - 9*q**2 - 2*q + c*q**2 - q**3 - 7*q - 12 + 2*q. What is x(-5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 5620977 to the nearest integer?\nAnswer: 2371","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: 6\/(-22) + (-6958)\/(-65604)\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -3049213 divided by -7?\nAnswer: 3049213\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many kilograms are there in 7\/8 of a tonne?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b(c) = -4*c - 3. Let h be b(-2). Suppose 0 = -6*y + 7 - 7. Solve -h*s - 9 - 6 = y for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 79*f**2 + 99*f**2 + 110*f**2 - 313*f**2 + 15*f to x*f**2 + r*f + u and give x.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -20 + 20. What is the third smallest value in -3, -4\/3, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -15 + 90 + (36 - 62) - (10 + -7)?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 3\/(-2)*638\/(-33). Calculate the highest common divisor of 290 and k.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -340b - d?\nAnswer: -341a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 5.276439 - 0.298079. Let k = -4.95 + v. Round k to three dps.\nAnswer: 0.028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -726 = 2*d - 3470. Let t = -8267\/6 + d. What is the common denominator of t and 143\/24 + (-1)\/2?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(r) = -8*r - 7. Let f(w) = 4*w + 3. Let d(x) = -13*f(x) - 6*n(x). Let u(b) = -2*b + 1. Let y(j) = 2*j**2 + 2*j + 2. Let g be y(-1). Give g*d(z) - 5*u(z).\nAnswer: 2*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 438.252 litres in millilitres?\nAnswer: 438252","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 + 3 + 0)*(p - 2*p + 5*p)*(12 - 2 + 8).\nAnswer: 72*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let y(i) = 1745*i + 1658. Let z(j) = 437*j + 415. Let t(o) = 2*y(o) - 9*z(o). Find the first derivative of t(b) wrt b.\nAnswer: -443","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 10\/(-15) - 26\/(-30). Let u = 4155 + -12466\/3. Let w = 4.6 - 5. Which is the second smallest value?  (a) -6  (b) f  (c) u  (d) w\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3488 divided by -2633.\nAnswer: 3488\/2633","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 235 minutes before 11:06 PM?\nAnswer: 7:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let v(q) = -3*q. Let n(j) = -7. Let x(a) = -a**2 + 1. Let i(y) = -5*n(y) - 35*x(y). Determine i(v(z)).\nAnswer: 315*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.092423087994 - 9958?\nAnswer: -9957.907576912006","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 40710, 40696, 40672, 40638, 40594, 40540?\n\"Answer: -5*j**2 + j + 40714","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*l - 976 - 3376 = 0. List the prime factors of (51 + -52)\/((-2)\/l).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 32534297.\nAnswer: 32534297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 4 q when four letters picked without replacement from qqqqq.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 12125.208ns in minutes?\nAnswer: 0.0000002020868","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c(y) = -y**3 - 10*y**2 + 28*y + 52. Let s be c(-12). Put 0, s, -4, -0.09 in increasing order.\nAnswer: -4, -0.09, 0, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-4)\/36*-6*(-2)\/(-4). Let k = 3 - 4. Sort -2\/9, d, k in decreasing order.\nAnswer: d, -2\/9, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 36258500 to the nearest one hundred thousand.\nAnswer: 36300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*u**3 - 512*u**2 + 2644*u - 2128.\nAnswer: -4*(u - 4)*(u - 1)*(u + 133)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9 = -3*k - 0*w - 3*w, 2*w = -5*k. Solve 0 = -k*j - 0*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(z) be the second derivative of 3*z**6\/2 + 303*z**5\/20 + 31*z**4\/2 - 12*z**3 - 5158*z. Let u(d) = 0. Calculate d.\nAnswer: -6, -1, 0, 4\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in five quarters of a day?\nAnswer: 1800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -5, -160, -885\/4, 1\/4, -2\/7?\nAnswer: -160","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -20259, -20198, -20031, -19704, -19163, -18354, -17223, -15716?\nAnswer: -13779","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 2.9 + -0.9. Let q = 1.9964 - j. Round q to three dps.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -551*o + 8*y + 47 = -548*o, 0 = 3*o - 5*y - 26 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00057 to five decimal places.\nAnswer: 0.00057","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -2 + 1.5. Let s = -10 + 27. Suppose f - 6 = 3*r - s, 5*f + 4*r + 17 = 0. Which is the third smallest value?  (a) -3  (b) z  (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 0.07095 + -0.13095. Which is the closest to -333?  (a) -0.3  (b) 3  (c) n  (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (10 + (-43)\/4)\/((-6)\/(-10)). Which is the third biggest value?  (a) h  (b) 1\/9  (c) 6  (d) 3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many centuries are there in 15.605121 months?\nAnswer: 0.0130042675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*a = 2*z + 411, -2*a + 3*z - 704 = -7*a. Suppose d + a - 48 = 0. Let w = d - -137. What are the prime factors of w?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 307482.\nAnswer: 2, 3, 7, 7321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let q(t) be the second derivative of 3*t**5\/20 - 183*t**4\/4 + 11163*t**3\/2 - 680943*t**2\/2 - 26*t + 1. Factor q(o).\nAnswer: 3*(o - 61)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 0.35803 less than or equal to -339?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2926 is divided by 76.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (4 - 1 - 4)*(-4 - 4 + 5)*(-617 + 1439 - 602)*(5*w + w - 5*w) to v + a*w and give a.\nAnswer: 660","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 3\/15*5*(-2)\/10?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 225873 is divided by 408?\nAnswer: 249","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 3568472 minus -41998?\nAnswer: 3610470","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 781?  (a) 3  (b) 0.1  (c) 5  (d) -25\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 399547 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -y - 7*y + 216 = 0. Let q = 51 - 24. Calculate the greatest common divisor of q and y.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -60 = -778*p + 771*p - 5*n, 2*p = -7*n + 45 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -76 + 8 = -2*s. Let v be s\/6 + 2\/(-3). Suppose -v*w + r = 15, -4*w - 3*r = -4 - 3. Put -3, 1, w in decreasing order.\nAnswer: 1, w, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 18918536 and 553723.\nAnswer: 1999","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is -47283 divided by -15761?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 11038 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -1 - -1.03. Let q = f + -2.03. Let z be (-25)\/(-5) - 37\/7. Which is the nearest to 0.1?  (a) 3\/7  (b) q  (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-4 + -6*3*1*sqrt(1216) + (2 + sqrt(1216) + -3 - ((sqrt(1216) - (2 + sqrt(1216) + 2)) + sqrt(1216))))*1)**2.\nAnswer: 288*sqrt(19) + 393985","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 56\/(-35) - 25749\/1485 - -19?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand w**3 - 4*w**3 + w**3 + (-1 + 2*w**2 + 1)*(-2*w - w + 4*w) - 3*w**3 + 6*w**3 - 2*w**3 + 0*w - 2*w**3 + 0*w - 17570*w**2 + 17570*w**2 + 258*w**3.\nAnswer: 257*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 b when two letters picked without replacement from {z: 4, b: 6}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1793*k = 2077*k + 568. Let a(p) = 0*p**2 - 3*p**2 + 5*p**2 + 2*p + 4*p**3. Let z(r) = 63*r**3 + 33*r**2 + 33*r. Calculate k*z(y) + 33*a(y).\nAnswer: 6*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: 1620 * -1\nAnswer: -1620","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let v(l) = -l**3 - 9*l**2 - 19*l - 1. Let h be v(-6). Solve 2*o + 2*u = -10, -3*u - 25 = h*o - 0*u for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 263824 is divided by 26368.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let k(z) = 9*z - 4*z - 4*z. Let j(g) = 5*g**2 + 158 - 158. Determine k(j(c)).\nAnswer: 5*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -0.1 - -0.1. Let t = w - 1. Let y = -30 - -32. What is the smallest value in 0.5, y, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.89, 5716\/5, -0.6 in increasing order.\nAnswer: -0.6, 0.89, 5716\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2\/9?  (a) 2  (b) -16\/5  (c) 0.0512\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 98406238?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 363837\/205 or 1776?\nAnswer: 1776","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 6 + -4 - -2 - 8. Let d be r\/35 - (-6)\/(-21). Let i be 2\/8*(1 + 2). Which is the second smallest value?  (a) d  (b) i  (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 265\/106*((-16)\/5)\/2?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11*f + 7*f = -16, -3*f = -2*n - 20. Let a(h) = -5*h - 1 - 2*h**3 - 6*h**2 - h + 0*h. Is a(n) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(z) = z**3 + 6*z**2 - 7*z + 6. Let x be g(-7). Suppose -2*m + x*m - 20 = 0. Suppose 3*a = 3*i + 3, m = -i - a + 14. Put -3, i, -2 in decreasing order.\nAnswer: i, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1100 (base 4) to base 7\nAnswer: -143","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1*(sqrt(12)\/sqrt(4) + sqrt(3) + 1) - (-2 + (sqrt(192) - (0 + sqrt(192) + sqrt(192)))**2).\nAnswer: -189 + 2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*w = -u - 15, w - 5 = -0*w for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Product of 834.4 and -3.\nAnswer: -2503.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 12609, 12615, 12625, 12639, 12657, 12679, 12705?\n\"Answer: 2*o**2 + 12607","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Total of 91 and 0.0543486173.\nAnswer: 91.0543486173","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 84.4753 nanograms in kilograms?\nAnswer: 0.0000000000844753","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert -15327011 (base 8) to base 14.\nAnswer: -6780ad","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1233361 is divided by 7806.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Round 8.71448 to the nearest integer.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Factor -32\/15*h + 32\/15 + 8\/15*h**3 + 0*h**2 - 2\/15*h**4.\nAnswer: -2*(h - 2)**3*(h + 2)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -2 - -52. Let j = d - 50.23. Let a = j - 2.87. Which is smaller: -1 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 36 + -18. Let f be (-4)\/6*(-9)\/w. Solve 0*h**2 - f*h**3 + 1\/3*h + 0 = 0 for h.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 13?  (a) 0  (b) -4  (c) 0.4  (d) 0.006  (e) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-1)\/(-6)*-158 - 1\/(-3). Let m = s - -28. Suppose -27 = -5*l - 0*l + 4*w, m*w = l - 9. Solve -l*q + 21 = -3*d, 3*q - 5*d = -q + 31 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {d: 1, m: 1, w: 1}. Give prob of sequence md.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-5*j + 2*j + 0*j)*(-2 + 2*j**3 + 3 - 4*j + 6*j) to w*j**3 + v*j**4 + s + b*j + i*j**2 and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 8\/40 - 26\/5?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(h) = 7*h. Let x(y) = -367*y**2. Calculate x(n(p)).\nAnswer: -17983*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: -22 + 3 - 22 - -22\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(540)*1*3)\/(sqrt(60)\/(sqrt(5)*-2) + sqrt(12)))\/(((-2*sqrt(54))\/sqrt(6) - sqrt(9) - sqrt(90)\/(2*sqrt(10)))*4).\nAnswer: -3*sqrt(5)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 4238 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: Sort -79, -1, 327, -4, 33 in descending order.\nAnswer: 327, 33, -1, -4, -79","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 0.724 - 523.224. Let b = i + 523. Let q be ((-4)\/2 + 0)*-2. What is the second biggest value in b, q, 8?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -3107931, -6215870, -9323809, -12431748?\nAnswer: -15539687","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -8*f - 1251 + 2497 - 1261 to the form u*f + s and give u.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -3 - (-2 + (0 - (-2 - 1)))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 2  (b) -4354.29  (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 2 - (3 + -1 + -153000). What is j rounded to the nearest ten thousand?\nAnswer: 150000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 893003561?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 6410, 6406, 6392, 6362, 6310, 6230, 6116?\n\"Answer: -s**3 + s**2 + 6410","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-2)\/2 - (-2)\/6. Let s be 5\/(-15) - (-109)\/(-69). Let r = s + 2. Which is the second biggest value?  (a) d  (b) r  (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(s) be the first derivative of 0*s**5 + 0*s - s**3 + 1 + 0*s**2 - 2\/7*s**7 + 0*s**4 + 0*s**6. What is the third derivative of i(x) wrt x?\nAnswer: -240*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 7\/((-4)\/((-52)\/(-13))).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12*j - 5*z = -20*j + 675, 0 = -5*j - z + 393. Put 0, -2, j in ascending order.\nAnswer: -2, 0, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 3\/44, 5, -0.02?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let r(t) = 2. Suppose 0 = 3*k - u - 13 - 5, 0 = 5*u. Suppose -3*i - 15 = -k*i. Let c(l) be the first derivative of l**2\/2 + 5*l + 11. Calculate i*r(b) - 2*c(b).\nAnswer: -2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let b(t) = -9*t - 15. Let c = -15 - -13. Let n be b(c). Suppose 0 = -4*v + v - n*k + 6603, -2*k + 8808 = 4*v. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {t: 1, j: 1, y: 1, b: 2}. What is prob of sequence yt?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 16\/((2 + 4)\/3). Let o be 6\/u*(-56)\/(-21). Find the second derivative of 17*d**2 - 5*d - 16*d**o + 10*d wrt d.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -515 + 1153225?\nAnswer: 1152510","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2 = 13*b - 839*d + 844*d, -b - 3*d - 8 = 0 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -12 + 102112?\nAnswer: 102100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:32 PM and 4:44 AM?\nAnswer: 552","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Divide 732720 by -9159.\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -49725686 = -3*l - 9225686. Round l to the nearest 1000000.\nAnswer: 14000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1575 in 2\/7, -5, 0.04485, 1\/4?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -10*k - 13*k + 0*k + 5*k.\nAnswer: -18*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-4)\/((-16)\/180) + -1. Suppose 3*t - 5*s + 8 = 2*t, -5*t + 4*s = -g. Calculate the highest common factor of 108 and t.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.58838+0.15\nAnswer: 0.73838","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose a - 27 = -p, 4*p - 5*a - 70 = 20. What is the lowest common multiple of 10 and p?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*u - 32 = -11. Suppose -5*g - u = 8. Let z = g + 0. Sort 2, 4, z.\nAnswer: z, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2591427 is divided by 515.\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let b(g) be the second derivative of g**5\/20 - g**4\/12 - g**3\/6 + 7*g**2\/2 - 4*g. Calculate b(0).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -39*(-7)\/(-7)*(-30)\/130?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (468\/(-9))\/(40\/12*(-30)\/(-75)).\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 147338971699 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: (-1 - (-1 - (-4 - -5))) + -3\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 818, 519, 202, -133, -486, -857?\nAnswer: -1246","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(68)*1)\/sqrt(4) - (sqrt(17) + 0)*-4)*-3*-4 - -4*(-3 + sqrt(17) + sqrt(425)*2 + 4).\nAnswer: 4 + 104*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let n(z) = 201*z - 1. Let v be n(6). Let f be 2\/9 + v\/45. What is the greatest common divisor of 9 and f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 225 and 631925?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let d(x) = -2*x + 13. Let z be d(8). Let r(c) = -c**2 - 5*c - 2. Let m be r(z). Solve 0 = 4*g + 16 + m for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 8930 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let -4*n**5 + 112*n**4 - 196*n**3 - 312*n**2 = 0. What is n?\nAnswer: -1, 0, 3, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 17790*c**2*q + 2*c**2 - 2*c*q + 13713*q + 4 wrt c?\nAnswer: 35580*c*q + 4*c - 2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let x(d) = 2*d**2 + 28*d - 17. Give x(-12).\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -35180 - -72?\nAnswer: -35107","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand (d + d**2 - d)*(d**3 - d**3 - 2*d**3 + 5*d**3 - 2*d**3 - d**3 + (4 - 3 - 3)*(-2*d**3 + 2*d**3 + 2*d**3) + 54*d**3 + 6*d**3 - 25*d**3).\nAnswer: 31*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*s + 55 = -5*x, s + 4 = 5. Let o be (x\/(-8))\/(1\/4). Suppose i + o*y + 4 = 3*i, 4*i = 3*y + 22. What is the remainder when 12 is divided by i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x**(-1\/5)\/x)**(-17)*(x**3*x)\/(x**(-8)*x*x*x) assuming x is positive.\nAnswer: x**(147\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12 = b + 3*b. Find the common denominator of -16\/15 and (682\/(-33))\/(4\/b).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(r) = -24*r - 8341. Let m(x) = x + 41. What is m(p(l))?\nAnswer: -24*l - 8300","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 3776.8868214545 - -4.1131324855. Let d = r - 3781. Round d to 6 dps.\nAnswer: -0.000046","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: (280\/(-175))\/((-28)\/(-105))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 119 and 119203.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 333, 326, 313, 294, 269, 238?\n\"Answer: -3*m**2 + 2*m + 334","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.1 in -5, 7, -3, 4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Round 62.61913 to the nearest 10.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2490060 is divided by 706?\nAnswer: 704","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -60962, -243877, -548730, -975515, -1524226, -2194857?\nAnswer: -2987402","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i(w) be the second derivative of 376*w**3\/3 + 393*w**2 - 734*w. Differentiate i(x) with respect to x.\nAnswer: 752","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 4836 is divided by 117?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 499064\/35 - 14260. Let s = -1613\/105 - z. What is the common denominator of s and 37\/8?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(i) = -18*i**2 + 6621*i - 13273. Determine o(2).\nAnswer: -103","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is -218940605 >= -218940605?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 355642939 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*c + 5 = 3*j, 4*c + 9*j = 4*j + 11. Let v = 4 - c. Suppose -2*g + 3*g - 1405 = v. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 3059233, 3059237, 3059237, 3059233, 3059225?\nAnswer: 3059213","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k(r) = -5*r**3 - 2*r + 7. Let d be 0 + -1 + -3 + 0 + 1. What is the units digit of k(d)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 416*c**2 - 1121*c**2 - 8042*c**2.\nAnswer: -8747*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: 9 divided by -599\nAnswer: -9\/599","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 33359 - 11140. What are the prime factors of l?\nAnswer: 17, 1307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*f + 5*t = -0*f - 33, -t = -5*f - 15. Which is the nearest to 0.3?  (a) -3  (b) f  (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -6674 by -3337.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Does 8 divide 11531448?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: (4 - (7 - 3))*-1\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 1354760?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*c - 8*c = 1. Let i(k) = 9*k. What is i(c)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -3*(350\/(-21))\/(-10).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*t = 3*h - 333, 333 = 3*h + 4*t - 6*t. Suppose -p = 2*p - h. Round p to the nearest ten.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -10 + -100111010001000011?\nAnswer: -100111010001000101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-5)\/(-20))\/(39\/2184)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express -n**2 + 14 + 4020*n + 73*n**3 + 10 - 4012*n - 23 in the form h*n + t*n**2 + b*n**3 + o and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -b + -21?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -711 + 714. Solve -4*a = -s - 17 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -82492, -659574, -2225922, -5276164, -10304928, -17806842, -28276534?\n\"Answer: -82438*t**3 - 5*t**2 - t - 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -9657.9123 and -0.3.\nAnswer: 2897.37369","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l**(2\/29))**7*l\/((l*l\/(l*l*l**5*l)*l*l*l*l)\/l)*l*l*l**15 assuming l is positive.\nAnswer: l**(623\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 588840 and 196280?\nAnswer: 588840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 55 = 5*c - 85. Suppose c = g + 4*g + 4*b, -4*g + 20 = 4*b. Is g a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 140191486 is divided by 24.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let c(h) = -4*h**3 + 21*h**2 + 63*h - 76. Let b be c(-10). What is the greatest common divisor of b and 155?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2292370387 to the power of 1\/9, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-6)\/(-12))\/(-4 - (1 + -7)).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 551*t**2 + 2642341 - 4305*t**3 - 2642341 wrt t.\nAnswer: -25830","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(b) = b**3 - 5*b**2 + 2*b - 7. Let j be f(5). Suppose -5*x = -3*s + 15, -x - 3 = 3*s - 0*s. Is s > j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -86, 311\/6, 0.02, 1, -1 in descending order.\nAnswer: 311\/6, 1, 0.02, -1, -86","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -97*m = -104*m + 203. Calculate the remainder when 115 is divided by m.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(k) = 21*k**5 + k**3 - 5*k**2. Let h(a) = -a**3 + a**2. Let c(w) = -g(w) - h(w). What is the third derivative of c(r) wrt r?\nAnswer: -1260*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 25*z**2 - 353*z**3 - 6*z**3 + 371*z**3 - 26*z**2.\nAnswer: 12*z**3 - z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let d(u) be the first derivative of u**5\/120 + u**4\/8 - 5*u**3\/3 + 3. Let j(s) be the third derivative of d(s). Find the first derivative of j(h) wrt h.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 61198?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 171207.\nAnswer: 3, 17, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is one fifth of a millennium in decades?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x(m) = -3*m + 9. Let h be (-4)\/(-6)*33*1. Let l be x(h). Let q = -29 - l. Does 7 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(c) be the second derivative of c**4\/3 + c. Let h(q) be the second derivative of q**5\/20 - q**4\/4 + q**3\/6 - q**2 - q. Let o be h(3). Calculate l(o).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3374681 is divided by 1924?\nAnswer: 1909","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let f(t) = -8*t - 41. Suppose -3*l - 27 = 3*w, -4*l = -3 + 11. Let b be f(w). Solve -2*n + 4*o = -5*n - 20, -3*o - b = n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2223 = 7*d - 501. Let u = 255 + d. Solve -j - u + 8 = 0 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-3801)\/1086*(-18)\/168.\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -3715 (base 8) to base 12\nAnswer: -11a5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 6453 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 340 is divided by 85.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -2*(-3)\/2*(-116)\/1392.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 33391.8 + -33392. Which is the nearest to v?  (a) 1  (b) -6\/7  (c) 1\/8  (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(c) = 3*c**2. Let l(z) be the third derivative of z**7\/2520 + z**4\/12 + 8*z**2. Let i(y) be the second derivative of l(y). Calculate i(a(q)).\nAnswer: 9*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -30*n**3 + 583*n**3 + 501*n**3.\nAnswer: 1054*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from jwddgiqj. Give prob of picking 1 j, 1 i, and 1 g.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let c(s) = -s**3 - 7*s**2 - 4*s + 2. What is c(-6)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose l + 4 = 3*l. Let v = l - -2. Calculate the lowest common multiple of v and 14.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (1556\/1167)\/(2\/66).\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000006508349 rounded to 6 decimal places?\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.09 rounded to 1 dp?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 178 and 14416042?\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*m = -m + 5. Let t be 112\/(-21)*3\/(-2). What are the prime factors of -2*((-380)\/t)\/m?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0008128 rounded to four decimal places?\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 i and 3 r when four letters picked without replacement from {m: 3, i: 7, r: 4}.\nAnswer: 4\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 3784437?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 16*q + 23889 = -27311. What is q rounded to the nearest one hundred?\nAnswer: -3200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose y = -4*y + 260. List the prime factors of y.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 a when three letters picked without replacement from yliiaa.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -151 = -7*r - 137. Solve -2 + 3110*k + 165*k**3 + 11*k**4 - 121*k**4 + 25*k**5 - 3090*k + 2 - 100*k**r = 0 for k.\nAnswer: 0, 2\/5, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is ((-15)\/5)\/6*-30332 - 5 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -152 and -9.35?\nAnswer: 1421.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 126 minutes after 1:46 AM?\nAnswer: 3:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 6822, 13655, 20492, 27333, 34178?\nAnswer: 41027","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from jmmmmmjmmmmmm. Give prob of picking 2 m.\nAnswer: 55\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 3308 to the power of 1\/2, to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 23332731 to the nearest integer?\nAnswer: 4830","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, 3, 27 in increasing order.\nAnswer: -1, 3, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Work out -2.230628075761 - -2.\nAnswer: -0.230628075761","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 91 + -88. Factor i**2 + 11*i**3 - 1 + i - 11*i**g - i**3.\nAnswer: -(i - 1)**2*(i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 25106931 to the nearest integer?\nAnswer: 293","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 4 + -1 - 8 - -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 15188 to the nearest integer?\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let z(f) = 6*f - f + 1 + 0*f + f**2. Let b = -78 - -36. Let n = b - -37. Calculate z(n).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 44\/(-7) - 6\/(-21). Let b = 8 + y. Find the third derivative of 0*n**b + 4*n**4 + 2*n**2 - 3*n**4 wrt n.\nAnswer: 24*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose f + 22 = 25. Suppose f*j - m - 94 = -0*m, -3*j = m - 104. Suppose 24 = -2*v + 152. Calculate the remainder when v is divided by j.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 17615667, 17615677, 17615687, 17615697, 17615707, 17615717?\n\"Answer: 10*l + 17615657","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -1413 - -1408. What is the second smallest value in p, -2.8, 4?\nAnswer: -2.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(y) = y**3 + 8*y**2 + 4*y + 1. Let l be b(-3). Let f = 43 - l. What are the prime factors of 10\/(-45) + 470\/f?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1 divided by -1849512.\nAnswer: 1\/1849512","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let f(v) = v**3 + 4*v**2 - 4*v + 1. Let q be f(-5). Let s = -41254\/329 - -5880\/47. Which is the fourth smallest value?  (a) q  (b) s  (c) 0.3  (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 11 + -4. Let i = d + -7.5. Let j = 3 - 2.5. Which is the second biggest value?  (a) 2  (b) i  (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 70*m + 10 + 3 + 38 - 47*m wrt m.\nAnswer: 23","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 102929 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -18*f**3 + 31*f**3 + 64*f**3 + (1 - 1 - f**2)*(0*f + 0*f - f) + 0*f**2 + 2*f**3 + 0*f**2 to v + y*f**3 + t*f + o*f**2 and give y.\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 335223700 and 245.\nAnswer: 245","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:34 PM and 8:17 PM?\nAnswer: 103","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let v(t) = -2422*t + 1266710. What is v(523)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 76 + -14 + -3*1. Suppose -n - g = -5*j, 5*n + 55 = -3*j + 8*j. Suppose i - 2 - j = 0. Calculate the greatest common divisor of 14 and i.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -11 - -25. Suppose 2*y = 4 + s. Calculate the greatest common factor of y and 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put together 22.795 and 4.\nAnswer: 26.795","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 7 - p**2 - 15*p**3 + 0*p**3 - 9 - 2 to the form l*p**3 + n*p + x*p**2 + o and give l.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -38 + 34. Let n(k) = k**2 + 2*k. Calculate n(m).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0000122113083 rounded to 7 dps?\nAnswer: -0.0000122","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -n*q**4 - 3*n + 35006990*q**2 + 4585453 wrt q.\nAnswer: -4*n*q**3 + 70013980*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let d(o) = 2*o**3 - 3*o**2 + 3. Let u = 78 + -75. Let i(h) = 5*h**3 - 10*h**2 + 10. Calculate u*i(x) - 10*d(x).\nAnswer: -5*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 1044*b**2 + 6 - 2 + 63*b**2 + 9*b**4 - 10*b**4 to l*b + g + x*b**2 + y*b**4 + p*b**3 and give x.\nAnswer: 1107","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let o(h) = -h + 9. Let c be o(8). Let v be (-411)\/(3\/12 + -1). Let k be v\/36 + (-2)\/9. Solve 3*a + k = -5*i, 4*a + i + 2 = -c for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(w) = -w**4 - w**3 + 2*w**2 - w. Let n(c) = -9*c**4 + c**3 - 2*c**2 + c + 35. Let v(p) = j(p) + n(p). What is the first derivative of v(h) wrt h?\nAnswer: -40*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(m) be the first derivative of -m**4\/4 + 25*m**3\/3 - 13*m**2 + 57*m + 34. Let f be l(24). Solve -4*d - 20 = 3*p, 4*p + d + 27 = f for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*x = -8, -3*x + 16 = 2*w - 7*x. Let k(l) = l**3 - 10*l**2 - 5*l + 160. Let t be k(8). Put t, 5, w, 4 in descending order.\nAnswer: 5, 4, w, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -27\/315964 and -9\/46760.\nAnswer: 22117480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -w + z + 4*z - 2, 2*w - 9 = -3*z. Suppose -4*f - 2*d - 32 = 0, -w*f - 9 = -2*f + d. Let u = 12 + f. Does 2 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 119 - -4247438060?\nAnswer: 4247438179","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*o - 8*o - 3*r + 35 = -7*o, -r = -2*o - 3*r for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*s**2 + 2004776*s + 502390851272.\nAnswer: 2*(s + 501194)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: 0.4 * -0.003\nAnswer: -0.0012","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 13\/(-195)*-205 - (-3)\/9?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 627.8837 years to decades.\nAnswer: 62.78837","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 49 - -221. Let z(q) = 15*q**2 + 62*q + 18. Let c be z(-4). Calculate the highest common divisor of c and v.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 13 and 116?\nAnswer: 1508","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 72 + 706 - (-2 - 0)\/2?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1198 is divided by 131?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let l(n) = -2*n**2 - 9*n + 139. Calculate l(6).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 203 is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3856 = -38*z - 19854. Let b = z + 421. Solve -d + 0 - 2 = b for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -84 + 83. Let h = 76 + -76. Is 3 a factor of (6*(-24)\/(-16))\/(h - x)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify u**17*u**13*u*(u\/u**(-1\/22))\/u**(-24) assuming u is positive.\nAnswer: u**(1233\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 26208*h**2 - 7302*h?\nAnswer: 52416","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5*sqrt(85)*-1*1)\/((sqrt(60) - (-1*sqrt(60) - sqrt(60)) - sqrt(60))\/sqrt(12) - sqrt(20)*-4).\nAnswer: sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*d - 8 = -4*p, -4*p + 5*d + 1 = 20 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -1  (b) -24  (c) -5  (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let t be -1120 + -1 + 7 + -4. Let n = 1830 + t. List the prime factors of n.\nAnswer: 2, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: 6496 (base 11) to base 9\nAnswer: 12677","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s(w) = w**3 - 2*w**2 + 1. Give s(1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -18 and 157.509?\nAnswer: -2835.162","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -1241*b**5*y + 5*b**5 + 3*b*y - 53*b + 56 wrt b?\nAnswer: -24820*b**3*y + 100*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 0.36, -1\/13, 1\/5, -2\/3, -2\/7, 78?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -28, -323, -1136, -2725, -5348, -9263, -14728, -22001?\nAnswer: -31340","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-8)\/(-4 + 2) - (89 - 87).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify i**(-6\/5)*i**3*(i**2)**(-10\/3)*((i\/i**(-1))\/(i\/i**0))\/((i**(-5)\/i*i*i)\/i**(-4\/7)) assuming i is positive.\nAnswer: i**(-46\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -0.9 - 6.1. Let j = n - -8. Which is the nearest to j?  (a) -0.5  (b) 0  (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -4*z**4 - 148*z**3 - 2*z**2 + 8921.\nAnswer: -16*z**3 - 444*z**2 - 4*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2120 is divided by 31.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3 + sqrt(35)\/sqrt(5))**2 + 6*(0 + sqrt(7))**2 - -6*6*-5*sqrt(7).\nAnswer: -186*sqrt(7) + 58","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 1058514?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1\/12, 128, 12, -19, -0.5 in increasing order.\nAnswer: -19, -0.5, -1\/12, 12, 128","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand 21 - 21 + 11*w + (w + 5*w - 5*w)*(3 + 2 - 4) + 39*w + 32*w - 16*w.\nAnswer: 67*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 1641 and 21.\nAnswer: 11487","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*x + 133 = a, 0 = -3*x - 5*a + 84 - 13. Suppose 0 = -7*v + 10*v - 4*q - 59, 2*v + 6*q - 48 = 0. Calculate the lowest common multiple of x and v.\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*p - 9, -2*d + p + 0 = 63. Let r(a) = a**2 - 8*a + 9. Let l be r(7). What is the common denominator of -71\/12 and (l - d\/48)*2?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 60600995 divided by 13?\nAnswer: 4661615","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let y(c) = 7*c**2 - 7*c - 14. Calculate the remainder when y(6) is divided by 33.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10484 = 6*b - 5800. What is the third derivative of b*h**4 - 2714*h**4 + 43*h**3 + 2*h**5 - 25*h**2 - h**5 wrt h?\nAnswer: 60*h**2 + 258","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2\/11, -2\/3, -0.8, 4.\nAnswer: -0.8, -2\/3, 2\/11, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let b(y) = 198*y + 403. Let i be b(-2). Solve i = 5*k - 8 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-k**2 - k + k)*(4*k**2 - 3*k**2 + 0*k**2)*(481*k + 1677 + 1679 - 3354).\nAnswer: -481*k**5 - 2*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*u = -39 - 9. Let c be (-1 - 2)*u\/(-9). Solve 0 = 3*h - 4*a - 7, h - 3*a - c*a = 6 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(b) = b**3 - 6*b**2 + 9*b - 7. Calculate y(6).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -18 - 3bb301?\nAnswer: -3bb319","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -61\/80 and -79\/8.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 10118?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in 7\/2 of a kilogram?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-81)\/(-15) + (-2)\/5. Let f(k) = -h*k + 3*k - 5*k - 6 - 5*k. What is the tens digit of f(-4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 69 and 2139?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -121038, -484131, -1089284, -1936497?\n\"Answer: -121030*h**2 - 3*h - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b be ((-10000)\/(-2))\/(1\/11). What is b rounded to the nearest 10000?\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -50583 = 41*r - 50009 for r.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Does 12 divide 95?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 84230 is divided by 558?\nAnswer: 530","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 4.74 + 0.26. What is the fourth smallest value in j, 1, -0.1, -5?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 12979 - 6715. Is 27 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence iuu when three letters picked without replacement from {v: 1, u: 2, n: 2, i: 4}?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Are -812\/37 and -22 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-65)\/(-13) - 64\/12. Let m = 2 - 1.6. Which is the fourth biggest value?  (a) m  (b) 1  (c) i  (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(a) = 9*a**2 - 7*a - 43. Let m(n) = 51 - 5*n - 4*n**2 + 28*n - 30 - 20*n. What is -5*m(h) - 2*z(h)?\nAnswer: 2*h**2 - h - 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -13 - -16. Suppose w - 5 = d. What is the lowest common multiple of 1 + d\/(4\/(-18)) and 14?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 36\/24*(-9)\/(-279)*(-18)\/((-81)\/9)?\nAnswer: 3\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s(z) be the third derivative of z**5\/60 - z**3\/2 - 24*z**2. What is the first derivative of s(q) wrt q?\nAnswer: 2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose x - 2*t + 4 = 0, -2*x - t = -0*x + 13. Let g(v) = v**2 + 2*v - 8. Let k be g(x). Solve -a = -5*a - k for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 275291.\nAnswer: 19, 14489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand 245*c**2 - 18*c**3 - 237*c**2 + 40*c**3 + (2 - 3 - 5)*(1 + 2*c**3 - 1).\nAnswer: 10*c**3 + 8*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: (18 - 1) + 18868\/(-1113)\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 609 and 157992?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 574 - -7347. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(n) = -2*n - 2. Suppose -5*l = t - 14 + 41, 0 = 3*t + 5*l + 31. Let o be x(t). Solve 3*v + 1 + o = 0 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.3 * 2743\nAnswer: 822.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: (-1 - (-5 + 2)) + (2 - 3)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c(j) = -j**3 + 8*j**2 - 9*j + 5. Calculate c(6).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 105 and 280.\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let u(g) = -8*g**2 + 4*g - 5. Let a be u(4). Let i be (-10)\/15*a\/(-6). What is the second biggest value in 2, i, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -69444 divided by -216?\nAnswer: 643\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*o = p + 5, -o = 2*p - 5 - 0. Suppose 3 = -p*g - 5. What is the third biggest value in 1\/3, g, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -4710604477\/3201 + 1471604. Calculate the common denominator of -123\/10 and j.\nAnswer: 32010","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 30*s**5\/17 + 178*s**4\/17 + 224*s**3\/17 - 40*s**2\/17 - 32*s\/17 = 0 for s.\nAnswer: -4, -2, -1\/3, 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 705 minutes after 12:11 AM?\nAnswer: 11:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 6 divided by -3.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 102407, 102312, 102155, 101936, 101655, 101312?\nAnswer: 100907","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n(y) = -y - 1. Let m(o) = -o**2 + 9*o + 10. Let c(j) = m(j) + 4*n(j). Let p be c(6). Let q(x) = -x + 46. Is q(p) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(t) be the third derivative of 0*t**3 + 4*t**2 - 1\/20*t**5 - 1\/30*t**6 + 0*t + 0*t**4 + 0. Find the third derivative of h(n) wrt n.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 132 minutes before 2:00 PM?\nAnswer: 11:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: (-34)\/(-1785) + (-204507)\/(-29295)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(f) = f**2 + 10*f + 19. Let n be c(-7). Let d be (-4)\/(-8)*(-1)\/2. What is the biggest value in n, 0.3, d?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -70*9\/(-90)*(-9)\/(-9)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 24*t + 252 = 15*t. Let d = -25 - t. Suppose -5*v - 3*n = 20, -2*v - 10 = 3*v + 5*n. Sort d, 4, v in ascending order.\nAnswer: v, d, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 266676886, 266676884, 266676882, 266676880, 266676878?\n\"Answer: -2*i + 266676888","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 491350 and 24518365.\nAnswer: 245183650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 547 minutes before 9:33 PM?\nAnswer: 12:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand 532126 + 10441*t**2 - 532126 + (-2 + 2 - t)*(t + 2*t - t) + t**2 - 3*t + 3*t - 3*t**2 + 2*t**2 - t**2 + (-t**2 + 0*t + 0*t)*(2 - 1 + 1).\nAnswer: 10436*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -2133230 - -1?\nAnswer: -2133223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 496252148 a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let i(k) = -1 + 1 - 4*k. Let j(p) be the third derivative of 0*p - 65*p**2 + 0 + 0*p**4 + 1\/30*p**5 + 0*p**3. Give j(i(m)).\nAnswer: 32*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 101618768*b**3 - b**2 + 85*b - 465117.\nAnswer: 609712608","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 6 and 350?\nAnswer: 1050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let w(i) = 6*i**2 + 2*i + 1. Let c be w(-1). Suppose h = c*h - 524. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l*l\/l**(13\/4))**(-48) assuming l is positive.\nAnswer: l**60","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from suussss. What is prob of sequence us?\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -603, -612, -621, -630?\n\"Answer: -9*f - 594","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:05 AM and 2:56 AM?\nAnswer: 111","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 0 + 2*sqrt(68) + sqrt(68) + (sqrt(68)*2 + -1)**2.\nAnswer: -2*sqrt(17) + 273","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*v + 6 = 5*y + 1, -6*v + 1 = y. Let c(q) = 3*q**2 - 1. Let o be c(1). Let a be o*(-6)\/404 - 0. Which is bigger: y or a?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -55 + x**5 - 2*x**4 + 55 + (0*x**5 - 3*x**5 + 2*x**5)*(-1 - 1 + 1) - 66*x**2 + 66*x**2 - 5*x**3 - 45*x**5.\nAnswer: -43*x**5 - 2*x**4 - 5*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 1300915542?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 133 and 836?\nAnswer: 5852","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.000017 to 6 dps.\nAnswer: -0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let x(v) = 3*v**2. Let w(g) = -24*g**2. What is w(x(a))?\nAnswer: -216*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -41 + 0.014.\nAnswer: -40.986","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let i(s) = -1675*s - 42. Let x(r) = -559*r - 12. Let n(l) = 4*i(l) - 14*x(l). Let p(g) = -3*g. Calculate p(n(j)).\nAnswer: -3378*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 b when two letters picked without replacement from tgbbgsbsbbbbbtgstgs?\nAnswer: 28\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 48\/10*(2\/(-10))\/(84\/(-1050)).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w be ((-3)\/(-2))\/(3\/8). Solve 4*t - 12 = -w for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -201607509 - 10197?\nAnswer: -201617706","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-9 - 27 - 25)*(5 - 9 + 2 + 4*w)*(-4 + 2 + 0).\nAnswer: 488*w - 244","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 94, 97, 102, 109, 118, 129, 142?\nAnswer: 157","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -4, 0, 0.6006, -0.5, -0.2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -231*f + 236*f - 3*m = -34, -4*f + m - 30 = 0 for f.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 z and 1 m when two letters picked without replacement from {z: 13, m: 6}.\nAnswer: 26\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 2 and 670.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 66, -124, -440, -882, -1450, -2144?\n\"Answer: -63*d**2 - d + 130","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.000748 to 4 dps.\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -3536 - 1?\nAnswer: -3537","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 675 minutes before 6:32 AM?\nAnswer: 7:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2083436 is divided by 61?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -492, -490, -488, -486, -484, -482?\n\"Answer: 2*c - 494","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*w - 9, 126 = -v + 2*v - 4*w. Suppose -v + 124 = 5*r. Solve 5*q - 4*o + 3*o - r = 0, -5*q + 14 = 3*o for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 486815 times 2?\nAnswer: 973630","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: (-25 - -11 - -4) + 11 - (-1 + -3)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put 0, -87, -8 in decreasing order.\nAnswer: 0, -8, -87","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 40583 divided by 30.\nAnswer: 40583\/30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 168 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let b(f) = 26*f**3 - 14*f**2 + 20. Let l(a) = -9*a**3 + 5*a**2 - 7. Calculate 6*b(z) + 17*l(z).\nAnswer: 3*z**3 + z**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c*c*c\/c**2)**(11\/3)*(c\/(c**(-2)\/c*c))**(-10\/9)*(c**5\/c**5)**(-40) assuming c is positive.\nAnswer: c**(1\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0*v**5 + v**5 + 0*v**5 - 372*v + 372*v + 21*v**5 + (v**3 - 1 + 1)*(-51 + 11*v**2 + 51).\nAnswer: 33*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from xhhhhhxhhhhfhmmh. What is prob of picking 1 h, 1 x, and 1 m?\nAnswer: 11\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose s + 1 = -0. Let q = 1 - s. Let i(k) = 724 + 3*k - 372 - 355. Give i(q).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 410 minutes after 8:39 AM?\nAnswer: 3:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let t(a) = -4 + 9*a + 2 + 2. What is the remainder when t(4) is divided by 20?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -10*r**2 + 0*r**2 - 4 + 4.\nAnswer: -10*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {o: 2, s: 5, q: 2}. Give prob of sequence sos.\nAnswer: 5\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let x(n) = -676059*n**2 + 2*n + 1. Let a(k) = -k. Calculate a(x(h)).\nAnswer: 676059*h**2 - 2*h - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*q + 39 = -22*q. Which is the smallest value?  (a) 2  (b) 0.1  (c) 10  (d) q\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -4.34  (b) 3  (c) -2  (d) -99\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 425 + 3179 = 28*w - 1688. What is the remainder when 619 is divided by w?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4406 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 2424210101 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Find k such that k**4\/4 + 205*k**3\/4 - 621*k**2\/4 + 623*k\/4 - 52 = 0.\nAnswer: -208, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand 4*f**4 - f**4 - 2*f**4 + (6*f**2 + 26*f**2 + 8*f**2)*(-5*f**2 + 3*f**2 + f**2).\nAnswer: -39*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let q(y) = -9*y**2 + 10*y - 28. Let o(a) = 41*a**2 - 39*a + 115. Determine 2*o(z) + 9*q(z).\nAnswer: z**2 + 12*z - 22","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -40454, -80839, -121212, -161573, -201922?\nAnswer: -242259","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: 0.1382*1352\nAnswer: 186.8464","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3330*f - 5*i = -3328*f - 7, -5*f - 2*i = -7 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -4.8 and -1.533751?\nAnswer: 7.3620048","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 133965 and 37745.\nAnswer: 1011301785","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -6806 - -6809.9527. Let m = h + 0.0473. Which is the second biggest value?  (a) 2  (b) m  (c) 0.015\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 59*h + 49*h - 130 = 95*h for h.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 261509, 261464, 261415, 261362, 261305, 261244?\n\"Answer: -2*l**2 - 39*l + 261550","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*q + 5*b - 40 = -2*q - 153, 5*q - 11*b = 9*b + 410 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 22079 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 v and 3 r when four letters picked without replacement from hnvnndr.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 11 - (-5 - (-3 + 2) - -5).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify j**2*(j\/j**(-2\/3))\/j*j*(j*(j**(-1)\/j)\/j*j)\/j*(j*j*j\/(j*j**(2\/13))*j)\/j*(j**(-1\/4))**(-31)*j**(-3)*(j*j\/j**(-1\/2))\/j*j assuming j is positive.\nAnswer: j**(1679\/156)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Express s**4 - 1020*s + 0*s**3 + 1077*s + s**2 - 6*s**3 - 3*s**3 - 3*s**4 in the form n + p*s**4 + h*s**2 + d*s**3 + i*s and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 173673.\nAnswer: 3, 23, 839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: 0.08 * -125\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 2 + -4. Let u = 109 - 109. What is the closest to -0.1 in u, -3, d?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -44.79762 + 21.892. Let f = -0.00638 + o. Let b = -23 - f. What is b rounded to 2 decimal places?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(v) = 53618*v - 1662134. Determine c(31).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -16228, -64860, -145924, -259414, -405324, -583648, -794380?\n\"Answer: q**3 - 16222*q**2 + 27*q - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j(u) = u**3 - 27*u**2 + 82*u + 3. What is j(25)?\nAnswer: 803","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 52 + -84. Find the common denominator of 25\/18 and (1680\/b)\/(3*6).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*l**5 - 13705*l**4 - 6609365*l**3 + 6636785*l**2 + 6609370*l - 6623080 = 0. What is l?\nAnswer: -2116, -626, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 - c**2 + 2)*(-83*c**2 + 50*c**2 - 5*c + 35*c**2).\nAnswer: -2*c**4 + 5*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 117 and 39?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -23 = 23*t - 0. Let p be ((-2 - (3 + t)) + 0)*-1. Sort p, -5, 15 in increasing order.\nAnswer: -5, p, 15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express b - 4*b + b - 5 + 5 + 2*b + (29 - 29 + 59*b)*(1 + 2 - 1) as l*b + j and give l.\nAnswer: 118","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 110011101111000110011 - 10?\nAnswer: 110011101111000110001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 7755346?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4811*t**3 - 4807*t**3 - 42*t - 4811*t**3 + 31*t + 11*t + 14428*t**3.\nAnswer: -t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let k(b) = -b**2 + 11*b - 14. Let u be k(5). Let f = 30 - u. Is 3 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 10010 - -110011100?\nAnswer: 110101110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let p(m) = -2*m + 1. Let z be p(-1). Suppose z = -l - 2. Is -4 at least as big as l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(o) = -o**2 - 10*o + 4. Let s be m(-12). Let q be (s\/(-8) - 2)*6. Suppose -z - 29 = -5*g, -z + 8 = -q*z. Solve -3*f + 5*b + 2 = g, -2*b + 2 = -f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 4 - 0. Suppose 0 = 4*q + k - 16. Solve -q*r - 5 = 4*v, -2*r - r - 14 = -5*v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(q) be the second derivative of 0 - 1\/20*q**5 + 1\/3*q**4 + q**3 + 0*q**2 - q. What is p(5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -9 divided by -162.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f\/(f\/(f*f**(1\/5)*f*f)))\/(f**(-7\/5)*f)*(f**(-5\/6)*f)**(22\/5) assuming f is positive.\nAnswer: f**(13\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 5597586 and 162?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -6.3 - 10.3. Let b = -16.64 - o. Suppose 22*f = 21*f - 1. Put f, 0, 5, b in descending order.\nAnswer: 5, 0, b, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5 + (sqrt(72) + sqrt(72) + (-3*sqrt(72) - sqrt(72)) + 3 + -2 + -2*sqrt(72))**2 + (2 + -5 + -4 + 0 + sqrt(72))**2.\nAnswer: -132*sqrt(2) + 1279","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 360*f - 353*f - 168. Suppose -f*d + 69 = -27. Solve -4 = -d*y + 8 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10 = 3*u + 2*g, -4*u + 2*g + 3*g + 21 = 0. Solve -5*t + 6 - 147*t**3 + 22*t + 168*t**u + 7*t - 48*t**5 + 9*t - 12*t**2 = 0 for t.\nAnswer: -1\/4, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 5\/2  (b) 21\/13  (c) 1\/18  (d) 193\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let n(o) be the second derivative of 17*o + 9\/10*o**5 + 7\/3*o**3 + 0 + 0*o**4 + 0*o**2. Find the second derivative of n(r) wrt r.\nAnswer: 108*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -4*n**2 + 2*n**2 + 165215039*n**3 - 165214449*n**3 - 2 - n to x*n + m*n**3 + y + b*n**2 and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let r(q) = -3*q**2 - 21*q + 12. Let t = -7 - -12. Let a(z) = 2*z**2 + 11*z - 6. Let g(y) = t*a(y) + 3*r(y). List the prime factors of g(8).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 18*l - 16 = 17*l. What is the units digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 11433 - 11460. What is the nearest to 3 in c, 1, -2\/9?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 13 - ((-15 - (7 - 8)) + 49)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-119)\/(-56) - 2\/16. Suppose -p*v + k = -2*k - 9800006, 2*v - 9799994 = -3*k. Round v to the nearest one million.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 times 0.035?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -2 - -9. Suppose 0 = r*l - 11 + 32. Suppose w - 2 = 3. Put w, 0, l in increasing order.\nAnswer: l, 0, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sum 80086 and 52790743.44.\nAnswer: 52870829.44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 313531*b**5 + 4*b**4 + 2734897*b**2 wrt b.\nAnswer: 18811860*b**2 + 96*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Express -5*f**2 + 1 + 0 + 3*f**4 + f**2 - 5*f**4 as m*f**4 + g + r*f + k*f**2 + h*f**3 and give k.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from mmwwdwmxxx. What is prob of picking 1 m and 3 w?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 2*s - 224 + 278 for s.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-1)\/(-2)*474\/(-9))\/(1612\/(-4836)).\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 93\/4 and ((-642)\/(-4))\/((-9)\/(-1)).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 3 or -1582?\nAnswer: -1582","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*s**5\/3 + 46*s**4\/3 + 80*s**3 - 96*s**2.\nAnswer: 2*s**2*(s - 1)*(s + 12)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let a(l) be the third derivative of l**7\/1260 + l**6\/84 + 2*l**5\/105 + 13*l**4\/24 - 37*l**2. Let c(h) be the second derivative of a(h). Factor c(v).\nAnswer: 2*(v + 4)*(7*v + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 49861223?\nAnswer: 3967, 12569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 63938*r**3 - 21315*r**3 - 21307*r**3 - 21307*r**3.\nAnswer: 9*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -68 + 73.6. Let u = s + -5.7. What is the nearest to u in -3, -1\/6, 1\/4?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = b + 1 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 4414441 a multiple of 1501?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*j - 123 + 23 = 0. Let b(m) = -14*m - 4. Let z be b(-1). What is the highest common factor of z and j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 18 and 24.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 23571 is divided by 143?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 49 and 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let d(w) = 8*w**3 + 60*w + 127. Give d(-5).\nAnswer: -1173","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -82 - -6. Let r = q + 100. Calculate the lowest common multiple of 40 and r.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 169916.633 to the nearest 10.\nAnswer: 169920","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*((sqrt(228) - sqrt(228)*-1) + sqrt(228)))\/((sqrt(12) - sqrt(300))*-2).\nAnswer: 3*sqrt(19)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 771978359 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 12 and 42?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 11646?\nAnswer: 2, 3, 647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 1771541.9 rounded to the nearest 100000?\nAnswer: 1800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (29 - 2) + (2 - 2). Let c(q) = -q + 2. Let t be c(2). Suppose -v = -t*v - b. Does 9 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4659330.\nAnswer: 2, 3, 5, 13, 919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 9  (b) -0.1  (c) -3  (d) -3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 951 + -937. Solve 5*n - 22 = -4*x + j, 0 = -x + 3*n - 8 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in 18\/5 of a microgram?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 253548 and 1.508.\nAnswer: 382350.384","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Put -18739, -3, 33, -5\/3 in descending order.\nAnswer: 33, -5\/3, -3, -18739","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -13 + (15 - 0) - (0 + -5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1\/3, 0.06, -12.\nAnswer: -12, 0.06, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2\/5?  (a) -0.3  (b) 0.2  (c) -97  (d) 87  (e) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -727 in 1\/15, 4, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -3d - -4a?\nAnswer: c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -455 + 2175. Does 3 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(l) = -l - 2. Let a be x(-2). Suppose z + z - 10 = a. Find the third derivative of s**2 + 0*s**5 + 0*s**z - 2*s**5 wrt s.\nAnswer: -120*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 102*((-56)\/(-63) + -1) + 10. Which is the closest to -2?  (a) -2.5  (b) l  (c) 2\/7  (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 738993 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 944\/6 - 3\/9 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(v) = 26*v + 9. Let m(l) = -13*l - 3. Determine -5*m(g) - 3*r(g).\nAnswer: -13*g - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 471365810 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 467*l**2 - l**3 - 467*l**2.\nAnswer: -l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -0.384 + -0.076. Let n = 3.54 - i. Which is the nearest to -2\/7?  (a) n  (b) 0  (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(r) = r**2. Let o(t) = -325947*t. What is p(o(c))?\nAnswer: 106241446809*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let r(u) = 5*u + 3 + 99*u**2 - 47*u + 6 - 96*u**2 - 4. What is r(14)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -7*f + 38*f - 16*f - 17*f.\nAnswer: -2*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 17 - 11. Suppose l + p = 4, -2*l + 3*p - 6*p + 3 = 0. Calculate the remainder when l is divided by b.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -l = 2*l - 99. Suppose -3*h + 15 = -l. Calculate the highest common factor of 128 and h.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1 - 1 = -2*p. Let w(x) = 2*x - 16. Let i be w(7). Put -1, i, p in decreasing order.\nAnswer: p, -1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -63*(94\/2115)\/((-1)\/5)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14*y - 1597 = -2773. Solve -y*z + 44*z - 200 = 0 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(v) = -136*v**2 + 7*v - 6. Calculate n(1).\nAnswer: -135","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 25*(399\/245 - 9\/21) is divided by 6.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 1 + 6*m**3 - m**2 + 737*m + 5*m**4 - 737*m - 3*m**3 to the form t*m + s + p*m**2 + v*m**3 + f*m**4 and give f.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 1136 and 1136.\nAnswer: 1136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*o + 4*r = -5, -3*o = -r - 8 + 5. Let v = 2154\/11 + -194. Which is greater: o or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -61\/272700 and 13\/4590.\nAnswer: 4635900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5*4*((sqrt(77) - sqrt(77)*1 - sqrt(77)) + sqrt(77) - sqrt(77)))\/((sqrt(275) + 2*sqrt(275))*4).\nAnswer: -sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -77*g**2*k*t**3 - 322*g**2*k*t**2 - 8*g*t + 2*g - k*t**3 - 2*k*t + 57*t**3 wrt g?\nAnswer: -154*k*t**3 - 644*k*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 92977.\nAnswer: 109, 853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: -2 (base 15) to base 10\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 9262 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00025229833 rounded to seven decimal places?\nAnswer: -0.0002523","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let v(b) = -5*b - 31. Let y be v(-8). Find the common denominator of -101\/8 and (460\/30)\/(8\/y).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 3 + 53*b + b**2 + 0 - 6 - 154*b - 226*b**3 - 3*b**2 wrt b.\nAnswer: -1356*b - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -1627411029.843916 + 1483588623.84391565. Let d = q - -143822409. Let n = -3 + d. Round n to seven decimal places.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.143, -1\/48, 0.1 in descending order.\nAnswer: 0.1, -1\/48, -0.143","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1467 is divided by 484.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*v + 45 + 19. Let z = v - 22. List the prime factors of z.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is ((-9)\/9 - 2) + 492*13 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ffwffffffwff. Give prob of sequence wf.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/5 of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-5490)\/(-366))\/((-3)\/((-18)\/(-5))).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 532?\nAnswer: 2, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (b*b*b**3*b*b)\/((b**(-5)*b)\/b) assuming b is positive.\nAnswer: b**12","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 14421512341 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:07 AM and 7:15 AM?\nAnswer: 128","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 131 - 77. Calculate the least common multiple of z and 1503.\nAnswer: 9018","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -168 - -172. Put -6\/11, b, -0.4 in ascending order.\nAnswer: -6\/11, -0.4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.814 in 1\/2, -3\/5, 5?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let z(d) = d + 1. Let v(b) be the second derivative of -5*b + 2\/3*b**3 + 0 + 7\/2*b**2. What is -v(y) + 6*z(y)?\nAnswer: 2*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.2?  (a) -0.1  (b) 0.5  (c) 2  (d) -30\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*z - 16 = 38. Is (68\/6)\/(4\/z) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-z**4 + z**4 + z**4 + z - 2*z**4 - z + (3 - 1 - 3)*(2*z**4 - z**3 + z**3) - 6*z**4 - z**3 + z**3)*(4 - 4 + 3*z).\nAnswer: -27*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 60 is divided by 11?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:30 AM and 10:50 AM?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve l - 7966 = -9*p - 7986, -3*p + 4 = -5*l for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*s - 5*b + 32, -4*s = 4*b - 4 - 0. Let d = s + 1. Let w = 1 + 4. Put d, 0.4, w in ascending order.\nAnswer: d, 0.4, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*o**4 - 40*o**3 - 140*o**2 - 200*o - 96 = 0 for o.\nAnswer: -4, -3, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (53 + -30 - 4) + (2 + -6 - -1)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -20 (base 3) to base 8\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -3111 + 31033?\nAnswer: 22422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let x(k) = 8*k. Let u(d) = 2*d**3 - 6*d**2 + 3*d + 4. Let n be u(4). Let p(j) = n - 9*j**2 - 98 + 50. What is p(x(b))?\nAnswer: -576*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 20 - 16. Let x be t - 7 - (-13)\/4. Let a = -4 - -3.7. What is the nearest to x in 5\/2, -3, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((y**1)**(-5)\/(y**(1\/3)*y**(-7)*y))**(2\/77) assuming y is positive.\nAnswer: y**(4\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many decades are there in one tenth of a century?\nAnswer: 1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 116 and 68.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -15 - -16. Let t be 13 + -3 + d + -3. Let b be -2 - 1 - 0 - -23. Calculate the highest common divisor of b and t.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -55 - -29. Let n = r + 25.9. Let l = 0 + 1. Which is the closest to n?  (a) 0.1  (b) 0  (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(n) = 3*n**2 + 17*n + 5. Let z(u) = -u**2 - 6*u - 2. Give 4*a(o) + 11*z(o).\nAnswer: o**2 + 2*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((1 + -1*2*sqrt(539) + -4 + (sqrt(539) - (sqrt(539)*-1)**2) + ((sqrt(539) + 1)*1 - sqrt(539)) + 5)*5 + -5)*2.\nAnswer: -5370 - 70*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*p + 14*p - 12 = 0. Suppose 0*k - 2*k + 8 = 0. Let f = 2 + 1. Solve 0*t - 2*b - p = f*t, 5*b = -k*t + 9 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15 = 5*m - 0*m. Suppose m*x + 0*x = 48. Suppose l - x = 7. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 5 or 159.4798?\nAnswer: 159.4798","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve d - 2 = -0*d - 17*q + 13*q, -12*d + 70*q + 24 = 2*q for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -247.9899 + -0.0101. Let s = q + 245. Let y = 4448\/13 + -342. Which is the nearest to 1?  (a) 3  (b) s  (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 844113457 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let x(f) = -2*f - 1. Let d be x(0). Let t = d - -5. Suppose 0 = -g + 5*o + 35, t*g - o + 6*o - 40 = 0. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(g) be the first derivative of -14*g**3\/3 - 13. Let p(q) = 7*q**2. Let y(b) = -6*h(b) - 13*p(b). Let l(s) = 4*s**2. What is y(l(v))?\nAnswer: -112*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-2 + 4 - -3)\/(-1). Let r(s) = s**2 - s + 5. Is r(q) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-49)\/4 + 1\/(-20)*-5. Let j = -98 - -108. Let z be s\/(-45)*15\/j. What is the third biggest value in z, 0.5, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 10344 + 3505535?\nAnswer: 3520323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 322022?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 11, 6, 0, -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.6 in -4, -3, -2\/9, 0?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*w + w - 5*y + 11 = 0, 2*y = -10. Let s(a) = -1 - 3*a + 14*a + a**3 + w*a**2 + 5 + 0. Let i be s(-11). Which is smaller: 0 or i?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 q, 2 x, and 1 c when four letters picked without replacement from ugcxgxuuuucuuquxuquc?\nAnswer: 6\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 21616 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -41\/250 and 53\/35.\nAnswer: 1750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 54972.1 rounded to the nearest 1000?\nAnswer: 55000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 21681\/33 - (-9)\/(-1).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 1355690479 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is -21375000 rounded to the nearest 1000000?\nAnswer: -21000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let a(b) = b**2 + 10*b. Let u be a(-10). Let y be ((-15)\/20)\/((-2)\/80). Suppose d + 4*d - y = u. Is d a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-58*i + 10*i**2 + 58*i)*(5*i + 2 - 3*i - 3*i)*(12*i - 2*i + 1 + 24*i).\nAnswer: -340*i**4 + 670*i**3 + 20*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let i(g) = 8*g - 3. Determine i(-1).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: 3252963 divided by 22129\nAnswer: 147","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*w - 27 = -w. Suppose k + 5*v = 94, -5*v - w = -k + 37. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 532.62786 to the nearest integer.\nAnswer: 533","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -7b4b9d3 - -3?\nAnswer: -7b4b9d0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -163, 4, -3\/5, 6?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 53045?\nAnswer: 5, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 359 minutes after 8:25 PM?\nAnswer: 2:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let k(g) = g**2 - 5*g - 279. Calculate k(-14).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1088?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let l(n) be the first derivative of -5\/6*n**3 + 1\/2*n**5 - 1\/2*n**2 - 1 + 0*n + 1\/4*n**4. Factor l(h).\nAnswer: h*(h - 1)*(h + 1)*(5*h + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(v) be the third derivative of -v**8\/50400 + v**7\/6300 - 3*v**5\/20 + v**2. Let j(c) be the third derivative of r(c). Suppose j(d) = 0. What is d?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:54 PM and 11:43 PM?\nAnswer: 589","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -8 + 572*t**2 + 4 - 7 - 75*t + 8 + 76*t.\nAnswer: 572*t**2 + t - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify r**(-1\/77)\/(r*r**(2\/7)) assuming r is positive.\nAnswer: r**(-100\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let u(o) = 5 - 7 + 4*o**2 - o**2 + 268*o - 265*o. Give u(-3).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 1881 + -1879. Let b(a) = -2*a - 5. Let l be b(-4). Solve -u*i + 3*i - 7 = 4*h, h = -l for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.025616 plus -77828566?\nAnswer: -77828565.974384","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 109428 and 528?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -382 - -15660\/41. Let j = -773\/123 + m. Does j = -5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 9541421*z**2 + 2*z - 28319614 wrt z.\nAnswer: 19082842","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from aiakakakaaaaaika. What is prob of sequence kiia?\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: 34147234 - -15\nAnswer: 34147249","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -126 - -150. Calculate the least common multiple of 6 and f.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -19*a**2 - 13*a**2 + 39*a**2.\nAnswer: 7*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 60403 is divided by 2489.\nAnswer: 667","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*f - 66 = -4*p - 2*f, 2*p = 5*f + 53. Calculate the highest common factor of p and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 395.4 + -364. Let d = z + -34. What is d rounded to zero decimal places?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1564 is divided by 256?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -4, -5\/4, 5?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let i(w) = 2*w**2 + 54*w - 101. Let o be i(-29). Solve o*t - 7*t = 24 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -1\/5  (b) 3.44  (c) 1  (d) -0.05  (e) -11  (f) 3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*b**2 + 19953*b + 1411410.\nAnswer: -3*(b - 6721)*(b + 70)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let d(o) = 19107*o + 14483131. Determine d(-758).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*u**2 + 4*u**2 - u**2)*(-63 - 94 - 14 + 26).\nAnswer: -145*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -39 + 3 + -38 + 23 + -2 + 24.\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g(n) = -n**2 - 10*n + 3. Let j be g(-10). Suppose s = -j*s - 4*o + 392, -o = -s + 94. Is s a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -210 + 575. Suppose 4*c - n = -c. What is the tens digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -78412260 divided by 2?\nAnswer: -39206130","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 3*i**3*k**2 - 33*i**3*k - 3*i**2*k - 97*i - 4*k**2 + 1 wrt i.\nAnswer: 18*i*k**2 - 198*i*k - 6*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -264173413*h**2 - 258274859?\nAnswer: -528346826*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -2 - -1.6. Let t(z) = -4*z**3 + z**2 - 2*z + 2. Let r be t(1). Which is the second smallest value?  (a) r  (b) k  (c) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 504 (base 8) to base 13\nAnswer: 1bc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify u**18*u**(-4)*u*u*(u*u*u**(-18))\/u**(3\/8) assuming u is positive.\nAnswer: u**(-3\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 6\/70 - 30\/105. What is the second biggest value in -5\/3, -2, o?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -500 - -1261. Suppose -v = -2*x - 7. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*z - z + 60. Let q be ((-14)\/10)\/(((-5)\/25)\/1). Let p = z - q. What is the lowest common multiple of 12 and p?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is eleven halves of a kilogram in grams?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 67\/51413056 and -11\/21274368.\nAnswer: 616956672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 620942 is divided by 206650.\nAnswer: 992","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let g(l) = 2*l - 2. Determine g(6).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose n - 3*h + 18 = 0, -5*n + h - 9 = 25. What is the closest to -2\/13 in -1\/5, 0, n?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose a + 6*r = 2*r, -a - 9 = -5*r. Let u = 6 + -4. Let f = -9.2 - -12.2. What is the closest to 0 in a, u, f?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 15\/40*1*(3 - 1).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-11)\/(-99))\/((-1145)\/229).\nAnswer: -1\/45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w(y) be the first derivative of 3*y**2\/2 - 8. Let o(i) = 4*i**2. What is w(o(c))?\nAnswer: 12*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -575*t + 504*t + 2619829. List the prime factors of t.\nAnswer: 36899","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -6*r**3 + 55*r**3 + 22*r**3 + 18*r**3.\nAnswer: 89*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-4)\/2*24\/(-3). Suppose 0 = 2*i - 8 - l. List the prime factors of i.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(1250) - (sqrt(1250) + sqrt(1250)*4)*6)\/(3*-2*sqrt(1210)).\nAnswer: 145*sqrt(5)\/66","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 6775325699 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -215 - -214.9. What is the second smallest value in s, 0.1, -0.2, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -151.5483026 rounded to two dps?\nAnswer: -151.55","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 3\/(-21) + (7733\/(-693))\/(-19)?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (0 - 1)*(-1 - -10). Let y be (-4)\/18 - 20\/s. Let n(c) = c**2 + 1. Calculate n(y).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: (5210\/6252)\/((-20)\/888)\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (((-6)\/12)\/((-1)\/(-12)))\/(-4)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3 = r - 2*r. Let t be 3 + 3\/(r + 4). Let a be 1 + (-28)\/t*-3. What is the greatest common factor of 3 and a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -3?  (a) -0.17  (b) -3  (c) 1  (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -12*z - 4 = -8*z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 48*a**3 + 30*a**2 - 237*a + 7892462?\nAnswer: 144*a**2 + 60*a - 237","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -96274, -96004, -95458, -94558, -93226, -91384, -88954?\nAnswer: -85858","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 648*j**2 + 606*j**2 - 2593*j**2 + 638*j**2 + 564*j**2 - j.\nAnswer: -137*j**2 - j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -119574452*u**3 + 117847627*u.\nAnswer: -717446712*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -380 - -542. What is the greatest common factor of 36 and i?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 63408?\nAnswer: 2, 3, 1321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 11505 and 365505?\nAnswer: 885","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let z(v) = 3*v**3 - 45*v**2 - 38*v + 119. What is z(15)?\nAnswer: -451","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.512 rounded to 2 decimal places?\nAnswer: 0.51","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 405 minutes after 12:47 PM?\nAnswer: 7:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -127.29 rounded to the nearest integer?\nAnswer: -127","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 7 a factor of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*t**3 - 420*t**2 - 14112*t - 153664.\nAnswer: -4*(t + 28)**2*(t + 49)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 44 + -39.6. Let h = f - 4. Let p = 31 + -94\/3. Which is the second smallest value?  (a) 0.2  (b) p  (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -14396.971 - -14397. Which is bigger: b or -0.1?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 4 - 123266?\nAnswer: -123262","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*d = -3*d + 4. What is the highest common divisor of d and 36?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-2 + 1 - -6) + (75 - 88)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 49958 is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let n(f) = -5*f**2 + 3*f + 1. Let s(c) = 9*c**2 - 18*c - 3. Let w(x) = -10*x**2 + 16*x + 3. Let r(u) = -4*s(u) - 5*w(u). Determine -8*n(a) - 3*r(a).\nAnswer: -2*a**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let p(j) = -56*j**2 + 2. Let t(v) = v + 2. Let c(k) = -2*k - 8. Let f(a) = c(a) + 4*t(a). Give p(f(x)).\nAnswer: -224*x**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify j**(-1\/5)*j*j*((j\/(j*j\/j**0))\/j)\/j*(j\/((j\/j**(-2\/39))\/j*j)*j)\/(j\/(j*j**(-1\/9))) assuming j is positive.\nAnswer: j**(-212\/585)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*l + 17 + 3. What is the units digit of 44\/8 - 2\/l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -49.4 in 0.4, -2\/5, -0.105?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 19 a factor of 809584?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-11 - 1 - (-180 + 154)) + -18 + -50?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p(g) = g**3 - 4*g**2 + 5*g + 2. Suppose 198 = 16*c - 5*c. What is the smallest common multiple of p(4) and c?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 78130549, 78130575, 78130603, 78130633, 78130665, 78130699?\nAnswer: 78130735","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c(p) = p**3 + 3*p**2 + p + 1. Let l be c(-2). Suppose -5*x - 4 = -y - 15, 3 = 5*x - l*y. What is the units digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -27 + 38. Let y be (-4)\/(-22) + (-354)\/g. Let r = -65\/2 - y. Sort -2\/17, r, 1\/3 in ascending order.\nAnswer: r, -2\/17, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 f, 1 v, and 1 n when three letters picked without replacement from ffhfvfnffvfv.\nAnswer: 21\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 142 and 639?\nAnswer: 1278","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 591 minutes after 4:55 PM?\nAnswer: 2:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0 + 15 - 2*u**3 - 1 - 14.\nAnswer: -2*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 53555977707 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let l(h) = -17*h**2 - 153*h - 1. Let v be l(-9). Which is the nearest to -2?  (a) 0.03  (b) v  (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 135 and 90.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 415564 at least as big as 415602?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 2606 and 20?\nAnswer: 26060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6649*z + 1242*z + 27671 = 2128*z - 386754 for z.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from jhjnjjsnnnnrn. Give prob of picking 3 n and 1 s.\nAnswer: 4\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 27216.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 517488220, 1034976439, 1552464660, 2069952883, 2587441108, 3104929335, 3622417564?\n\"Answer: f**2 + 517488216*f + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 2296147549 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*a = 28*i - 27*i - 144151, 5*a - 5*i = 180170. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-2 - 1) + 2 - 3?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 272576, 272575, 272574, 272573, 272572, 272571?\n\"Answer: -v + 272577","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -100 + 105. Suppose -88 = -5*q + 3*i, 4*i - i - 82 = -g*q. Solve -1 = 4*a - q, a + 8 = 3*n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 2.34545 and 73?\nAnswer: 70.65455","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let c(b) = 430*b - 3908. Give c(9).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-7 + 6)\/(-1 + 3\/2). What is the common denominator of (z\/198)\/(9\/(-1971)) and 28\/27?\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 1069\/9 - 119. Let o = -2.5 - -2. What is the closest to l in -2\/5, o, -2?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -55.48353 plus -0.355?\nAnswer: -55.83853","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Express 2*k**2 - 2*k + 5*k**3 + 424 - 424 as u*k + x + q*k**2 + i*k**3 and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 16 a factor of 26944?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (4\/10)\/((-68)\/85).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2430543.\nAnswer: 3, 71, 11411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let f(d) be the third derivative of -d**7\/840 + d**6\/360 - d**5\/60 + d**4\/24 - d**3\/6 - 2*d**2. Let x(a) be the first derivative of f(a). Calculate x(2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1213 is divided by 50.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 357 - 354. Let k = -30 - -511\/17. Which is smaller: k or t?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -22704.7 rounded to the nearest 10000?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let t(q) = -46*q**3 - 20*q**2 + 11*q + 304. Is t(-10) a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(t) = -25*t**2. Suppose -16 = -4*g, -2*x = -x + 4*g - 21. Suppose 0 = -3*z + z, -w - x*z = -4. Let b(o) = 7*o - w*o + 4 - 4. Give b(s(l)).\nAnswer: -75*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -393761353, -787522709, -1181284065, -1575045421, -1968806777?\n\"Answer: -393761356*d + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert 7.560921 millimeters to nanometers.\nAnswer: 7560921","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 51 a factor of 11000904?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 4469 and 9464276.\nAnswer: 1031606084","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Round 4998505 to the nearest ten thousand.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let y(k) = 7*k**2 - 24*k + 3. Let p(u) = 13*u**2 - 49*u + 7. Give 3*p(o) - 7*y(o).\nAnswer: -10*o**2 + 21*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -17.7 and -32.7337?\nAnswer: 15.0337","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*s + 5*l = -2, -4 = 8*s - 3*s - l. Let j = 115\/7 - 17. Which is the closest to s?  (a) 2  (b) j  (c) 1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 798884, 798916, 798962, 799028, 799120, 799244, 799406, 799612?\nAnswer: 799868","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l(a) = -a + 13. Let i(o) = -2*o + 13. Give 3*i(x) - 4*l(x).\nAnswer: -2*x - 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*t + 45 = -53. Let x be ((-8)\/t)\/(3\/(-21)). Factor -a**4 + 3*a**2 - 3*a + a**x + a**4 + 3*a**3 - 4*a**4.\nAnswer: -3*a*(a - 1)**2*(a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*k + 77 = -3*k + 4*t, -2*k + 178 = -4*t. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*x - t = -0*x - 20, -3*t + 5 = x. Let a be ((-738)\/x)\/((-12)\/2760). Let y = a - 2987329\/88. Calculate the common denominator of 17\/6 and y.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(d) = d**2 - 12*d - 11. Let f be z(13). Suppose -5*p + f*p = 6. Sort 1, 8, p in decreasing order.\nAnswer: 8, 1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence zf when two letters picked without replacement from tfttttzfzzfbzzt.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let y(q) = -417*q + 11311. Let u(d) = -232*d + 5655. Determine -9*u(h) + 5*y(h).\nAnswer: 3*h + 5660","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -41436*z - z**2 + 41436*z.\nAnswer: -z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 1 - -23128ca?\nAnswer: 23128cb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let l(d) = -4*d - 18. Let c = 457 - 463. Let m(b) = -5*b - 19. What is c*l(z) + 5*m(z)?\nAnswer: -z + 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.000001009144585 to 7 decimal places.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let p(i) = -i. Let n be ((-2)\/(28\/3))\/((-92)\/322). Let c(d) be the second derivative of 3*d + 0*d**3 + 0 + 0*d**2 - n*d**4. Give c(p(j)).\nAnswer: -9*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 17617 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 3*b**5 - 494704*b**4 + 11*b**3 + 192262096*b**2?\nAnswer: 180*b**2 - 11872896*b + 66","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-6*-2*5*(-2 + 1 + -4 + 4 + sqrt(405)))**2.\nAnswer: -64800*sqrt(5) + 1461600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 11 + -9. Suppose -2*x - 10 = -3*o, 3*o - z*x - 4 = o. Let b be 0 - o\/(-5 - -3). Solve -j - b*j = -16 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -c = -3 - 1. Does 3 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*h - 6*p = -11*p + 21, 3*h = -p + 51. Solve -557*v + h = -548*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 7739 and 82949?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-7 - -5)\/(4*-1). Suppose 2*s = -23 + 5. Is s equal to x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(l) = -13*l + 33 - 3*l**2 + 4*l**2 - 9. Suppose -1258*x + 1255*x = -30. Let q be t(x). Let p(w) = w**2 + 7*w + 3. Calculate p(q).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(800))**2 - (2 + sqrt(8)\/sqrt(4)) - (-4*(sqrt(98) - sqrt(2)) + 2*sqrt(288) + sqrt(288))) + 3.\nAnswer: -13*sqrt(2) + 801","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*w - 11 - 4. Let i(x) = -5*x + 1. Is i(w) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(d) be the first derivative of d**2 + 15*d + 4. List the prime factors of j(7).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 136243 to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -1.5 and 100.9?\nAnswer: -151.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let q(h) = -43*h - 1244. Let v be q(-31). Calculate the highest common factor of 8633 and v.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {g: 7, w: 9}. What is prob of sequence ggg?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let h(u) = 5*u - 15. Let q be h(24). Suppose q = 5*a - 0. Calculate the remainder when a is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -89*i + 42300 = 5*i. Calculate the remainder when i is divided by 41.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 488.9744cm in meters?\nAnswer: 4.889744","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 18 - -b3?\nAnswer: 10b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 80470895?\nAnswer: 5, 61, 439, 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((42\/120)\/(-7))\/(-16 + 17)?\nAnswer: -1\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Round -35.624 to the nearest integer.\nAnswer: -36","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 206*t - 281 + 409 = -3234 - 964 for t.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:39 AM and 4:38 PM?\nAnswer: 359","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 20\/4 + 6*2\/4 is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -111 (base 4) to base 14.\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5293 - 5589 = -8*m. What is the remainder when 163 is divided by m?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -717 + 717. Solve x = 3*k - 17, m*k - k = -4 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 10665*s**4 + 6124*s**3 + 49241*s + 3728 wrt s.\nAnswer: 127980*s**2 + 36744*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 483 and 1288.\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 435 divided by -87.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 190689482 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -17200197, -17200196, -17200195, -17200194, -17200193, -17200192?\n\"Answer: o - 17200198","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 4\/3 in 1, -8\/3, -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 2\/2405 smaller than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let d(l) = -l**2 - 17*l - 29. Give d(-14).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Work out 2660.2 * -0.038.\nAnswer: -101.0876","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -3?  (a) 0.4  (b) -2\/11  (c) 1  (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -230.5 - -230. Which is the smallest value?  (a) y  (b) -0.4  (c) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-1 + 2 - 0) + 5 + -17\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -68 = -4*r + 4*a - 24, 17 = 4*r + 5*a. Suppose -4*f - 3*i = 914, 4*f - i = 2*i - 902. Let w = f - -251. What is the highest common divisor of w and r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*l + 4*l = 762. Let t = -108 - -300. Suppose 3*o - t - l = 0. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.0629332 and -6?\nAnswer: -0.3775992","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify b**(-8)*((b**10\/b)\/b*b*b)\/b*b*b\/b**11*b**0 assuming b is positive.\nAnswer: b**(-8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 264044 and 28?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1 in -5, 1\/2, 1\/4, 13?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let d(s) = s**2 + 11*s + 14. Let m be d(-10). Suppose -k - 5*f - 11 = 0, 4*f - 6 = -m*k + 30. Is 5 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 61\/182 and -53\/104.\nAnswer: 728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let o be -3*(-3)\/(1 - 2). Let j = o + 11. Suppose -j*u = 3*u - 10. Solve -x - q = x - u, -3*q = 2*x - 6 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0 + (-3 + -1 + -2 + 0 - (601 + -585)).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -2 - 32?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let j(d) = -1029*d - 45277. Determine j(-44).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 2642122453 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 444*p - 9*p + 203*p = 31262 for p.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 18260931?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let m(u) = -2*u. Let v(w) = 27*w**2 - 5*w - 5. Let o(s) = -418*s**2 + 77*s + 77. Let c(f) = 5*o(f) + 77*v(f). Determine m(c(z)).\nAnswer: 22*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.2?  (a) -4\/7  (b) -1\/4  (c) -30  (d) -0.8  (e) -1  (f) -6.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: 806*0.02349\nAnswer: 18.93294","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 3725388 a multiple of 495?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let h(m) = 4709*m. Let x(a) = -149*a**2. Calculate x(h(s)).\nAnswer: -3304027469*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 5*((-36)\/(-27))\/((-20)\/(-18))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c(x) = 24*x. Let a be -2 - (-5)\/((-10)\/(-6)). Is 14 a factor of c(a)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*p + p + 56. Let c = 33 + p. Solve 0 = -4*v + 5*n - c, -4*v = v + 3*n - 4 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (0 - -1) + (1 - -1). Let b be 6\/(-3)*(w - 4). What is the third derivative of 5*i**4 - 18*i**b + 10*i**2 + 5*i**4 wrt i?\nAnswer: 240*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 58 + 6 = 4*d. Let q = 26 + -36. Let p be (q\/8)\/((-4)\/d). Solve 0 = -p*s + 25 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(q) be the second derivative of 5*q**4\/6 + q**3\/2 + 9*q**2\/2 + 15*q. Let f be r(-4). Suppose -9*k - f = -769. Is 11 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 90\/(-25)*(-20)\/6. Suppose y + 25 = 6*y. Suppose 0 = -y*g + n + 3. Solve 3*x - 2*j - 15 = 0, -g*x = -x + 3*j - 10 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 17 a factor of 81 + (1 - -1) - (3 + -5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {g: 3, j: 2, l: 2, b: 1, t: 1, x: 3}. What is prob of picking 1 j, 1 x, 1 g, and 1 l?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let i(t) = t**2 - 18*t + 39. Let m be i(13). Let k = m + 35. Solve 3*u = -k, 20 = -3*s - 2*u - 1 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 1 - -159eed2?\nAnswer: 159eed3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: -2*((-10)\/4)\/5\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose h + 3 = -3*h - 3*y, 4*y = 12. Let m = 0 - -1. Suppose -5*v + s = -6*v - 3, -3*s = -4*v + 2. Sort h, v, m in ascending order.\nAnswer: h, v, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 310545 and 8040.\nAnswer: 1005","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 10 - 0. What is the tens digit of (-158)\/(-14) + x\/(-35)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from sqbawwqs. What is prob of sequence swsq?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -a**3*c - 11*a**3*o - a**2*c + 14*a**2 + 4*c**3*o wrt c.\nAnswer: -a**3 - a**2 + 12*c**2*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -369 + 3653\/10. Let x = 5 - 437\/84. Find the common denominator of h and x.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*h = 10*h - 14. Sort -3, -5, h in increasing order.\nAnswer: -5, -3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(t) = -t**3 - 5*t**2 + 5*t + 3. Let a be x(-6). Suppose -4*m + 0*i = i - 67, -i - 1 = 0. Solve a = -3*v, -2*s - 5*v + m = -10*v for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4 divided by -9686.\nAnswer: 2\/4843","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-2)\/(-46)*(-14)\/(-63)*9. Which is the biggest value?  (a) u  (b) 5  (c) -5  (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 f and 1 s when four letters picked without replacement from {f: 1, w: 1, m: 2, s: 2}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 9\/167 - -6477\/668. Find the common denominator of o and -3\/2.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((0 + 4 - 2)*(0 + t + 0) + (-t - 3*t + 3*t)*(2 + 4 - 4) - t - 1 + 1)*(3314 - 44*t - 3314).\nAnswer: 44*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"}
{"text":"Question: Suppose -160 = 322*w - 242*w. Let i(z) be the first derivative of -2 - 5\/3*z**3 - 3\/2*z**2 + 5*z. Let p(s) = 4*s**2 + 2*s - 4. Determine w*i(x) - 3*p(x).\nAnswer: -2*x**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 5732*a**3 - 46*a**2 + 69332785*a.\nAnswer: 34392*a - 92","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let d(p) = -18*p**2 + 4*p + 2. Let t(g) = -g**2 - g - 1. Determine -2*d(o) - 6*t(o).\nAnswer: 42*o**2 - 2*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let d(v) = -v**3 + 8*v**2 - 7*v + 8. Let g be d(5). Let q(k) = 53*k - 105*k + k**2 - 9 + g*k. Give q(7).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(q) = -q - 6. Let o be x(-5). What is the common denominator of (-138)\/100 - (o - 1) and -51\/55?\nAnswer: 550","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 31270, 62228, 92754, 122632, 151646, 179580?\n\"Answer: -36*t**3 + 31210*t + 96","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 2054720 a multiple of 952?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Work out -472 * -1.55.\nAnswer: 731.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 28*l**3*u**2 + 38*l**3*u + l*u**3 + 2*l*u**2 - 12*u wrt u?\nAnswer: 56*l**3 + 6*l*u + 4*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 1933164 + -3?\nAnswer: 1933161","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -31*t = -34*t + 228. Suppose -t = -j - 3*j. What is the remainder when j is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(i) be the first derivative of 9\/5*i**5 + 0*i**4 + 0*i**3 + 0*i + 10 + 5\/2*i**2. Find the second derivative of x(f) wrt f.\nAnswer: 108*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -524 + 518. Which is the second biggest value?  (a) r  (b) 2  (c) -1\/2  (d) 3\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 46 + -18. Suppose -178 + w = -5*o. Is o a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 16*g - 19*g + 36. What is the derivative of -14*n**2 - 34*n - 39*n + 73*n + g wrt n?\nAnswer: -28*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000543 rounded to 4 decimal places?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Work out -398 * -0.5.\nAnswer: 199","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 433 + 2?\nAnswer: 435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {a: 5}. Give prob of sequence aaa.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -110211002 + -2210?\nAnswer: -110220212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 692 minutes after 9:33 AM?\nAnswer: 9:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 5308 (base 10) in base 14?\nAnswer: 1d12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*u - 4*u - 2*q - 4, -4*u = -q - 16. Factor 24*d**4 + 2*d**3 - 5*d**4 - 6*d**u - 11*d**4.\nAnswer: 2*d**3*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 30 + -12. Let d be (1 - -4)\/(2\/x). Calculate the highest common divisor of d and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -4.92 - 0.08. Let k = -186.1 + 196. Let m = k + -10. Which is the second biggest value?  (a) o  (b) m  (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 59240, 59242, 59244, 59246?\nAnswer: 59248","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*r = -94 - 374. Let b = r - 82. Let s be (7\/5)\/(21\/5 - 4). Calculate the greatest common factor of b and s.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 38 - 34. Let h be (10\/(-3))\/(i\/(-6) + 0). Solve -h*j**4 + 150*j - 359*j**2 + 475*j - 16*j**2 + 75*j**3 = 0.\nAnswer: 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in 5.656036 millimeters?\nAnswer: 5656.036","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 177850024 and 14184.\nAnswer: 1576","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is -5106 (base 8) in base 6?\nAnswer: -20102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y(v) = 9*v**2 + 8*v + 5*v**3 + 15 - 4*v**3 - 5. Let j be y(-8). Let c be 2\/3 - j\/6. Which is smaller: -3\/7 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 2881 - 2436. What is the highest common factor of g and 267?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((672\/(-160) - -5)*33\/4)\/(12\/(-40))?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4317195*-0.099.\nAnswer: 427402.305","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 14 + -13. Let o = 15 - h. Let p be -2*o\/4 + -1. Is -8 <= p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -14 divided by 43.\nAnswer: -14\/43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 16\/(-56) + 12\/(-7). What is the nearest to 0.3 in 5, k, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2\/15?  (a) -0.5  (b) 9.07  (c) -7  (d) -2  (e) 0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*o + 56 = 16. Suppose 5*g = -48 + o. Calculate the common denominator of -57\/14 and (-1)\/(-6)*99\/g.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2456 + 2456 - 2*c**3.\nAnswer: -2*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Put 7, 1, 0, -61 in decreasing order.\nAnswer: 7, 1, 0, -61","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose h - 1140 - 121 = 0. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine s, given that 2*s**4 + 4810*s**3 - 43404*s**2 + 115840*s - 77248 = 0.\nAnswer: -2414, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 22 + -16. Let n = c + -5. Is 22 a factor of 58\/(-2)*(0 - n)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2 + (1*sqrt(20) + 1 - sqrt(20)) + -5 - ((sqrt(45) + sqrt(45) + -1 - (-1 + sqrt(245)))**2*-6 + -5).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 695 and 3336?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 b when three letters picked without replacement from {x: 3, b: 15}.\nAnswer: 455\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1573 - 6*d - 3*d - 1341 + d + 6*d.\nAnswer: -2*d - 2914","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {q: 4, w: 3, e: 2, k: 2}. What is prob of picking 1 w and 2 k?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 290228462 to the nearest integer?\nAnswer: 662","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((1 + sqrt(72) + 5 + sqrt(72))**2 - sqrt(72)) + (sqrt(288) - (-1 + sqrt(288)))**2 + sqrt(16)\/(sqrt(8)*-1))*-3.\nAnswer: -975 - 411*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -171, -4, 449, 1332, 2789?\nAnswer: 4964","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -442000 divided by -89.\nAnswer: 442000\/89","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -2\/9  (b) -4\/7  (c) -1\/9  (d) 4  (e) 2\/9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*x + 2*s = 3*x + 80, -46 = 2*x + 2*s. Let o be (-9)\/6*(-1068)\/x. Let g = o - -128. Is g a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (3\/12 + 2\/56)\/((-3480)\/(-406)).\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -117273*p - 7*p**2 + 117273*p.\nAnswer: -7*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 7*(-430)\/(-3010)*(-4)\/(-250).\nAnswer: 2\/125","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 35\/56116 and -163\/420.\nAnswer: 5892180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*c = -3*c - 8. Let p(o) = -o**3 + 2*o**2 + 2*o. Let b(t) = t**3 - 5*t**2 - 5*t - 1. Let w(l) = c*b(l) + 5*p(l). What is the derivative of w(k) wrt k?\nAnswer: -9*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 164532 (base 9) in base 15?\nAnswer: 20245","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -6653*z**3 + 3 + 6635*z**3 - 2 - 2.\nAnswer: -18*z**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -0.0878156 + 0.0856. Round i to 3 dps.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4 - n + 4)*(310548 - 3824*n**2 - 310548).\nAnswer: 3824*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify i**(1\/17)*i**(1\/13)*i assuming i is positive.\nAnswer: i**(251\/221)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 3117467 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 364196?\nAnswer: 2, 7, 13007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -7.46 - 0.54. What is the smallest value in 3, r, 0?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (((-29700)\/(-18))\/(-33))\/((60\/30)\/((-1)\/1)).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1\/78277, 1, 7, -4, -0.1 in increasing order.\nAnswer: -4, -0.1, -1\/78277, 1, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Convert -4423105 (base 6) to base 10.\nAnswer: -221009","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 1316, 9987, 33384, 78869, 153804, 265551, 421472?\n\"Answer: 1227*o**3 + o**2 + 79*o + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k(s) = -8*s - 6. Let z be k(-1). Let t = 56 - 56. Factor 0 - 3\/4*d**3 + 1\/4*d**5 + t*d**4 - 1\/2*d**z + 0*d.\nAnswer: d**2*(d - 2)*(d + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 49 and 91014.\nAnswer: 637098","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -731*l**3 - 726*l**3 + 1351*l**3 + 102*l**3.\nAnswer: -4*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 10 - (-9 + (-8 - (-4 + -11))) - 18?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: (((-20)\/(-24))\/((-55)\/44))\/((-24)\/(-1296))\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.556638 times -0.3?\nAnswer: 0.1669914","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 69520508?\nAnswer: 2, 43, 404189","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((b\/(b**(-1)*b)*b)**(-4\/7))**(-2\/49) assuming b is positive.\nAnswer: b**(16\/343)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 655 minutes after 11:52 AM?\nAnswer: 10:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let w be ((-2)\/(-48))\/((-632)\/(-49296)). Factor -5*b**2 + 9\/4*b**3 + w*b - 1\/2.\nAnswer: (b - 1)**2*(9*b - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 25134038 is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let q(g) = -29896*g + 9596602. Determine q(321).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0001222887 rounded to 5 dps?\nAnswer: 0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 18892575 divided by 53825.\nAnswer: 351","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -598 - -1190. Suppose x - 448 = 5*x - 4*v, 0 = -5*x - 3*v - w. What are the prime factors of 6\/15 - x\/10?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 62979, 8\/13, -1?\nAnswer: 62979","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*w - 4 = -5*i + 4, 0 = -2*w + 8. Suppose -u + 16 = 3*u - p, i = -p + 4. Suppose -2*c = -u - 1. Solve -5*o - 1 - 5 = c*x, -6 = 3*x + 4*o for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-48)\/264*88\/96.\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, -1635, 4 in decreasing order.\nAnswer: 4, -1, -1635","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand (12*r - 9*r - 4 + 0*r)*(3 + 5 - 2)*(-11 + 5 + 3).\nAnswer: -54*r + 72","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 956510363 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is fourty-five halves of a micrometer in nanometers?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-2)\/3 - (-697376)\/111. Suppose 35*a = 44*a - c. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose k - 4 = -2. Suppose 2*o = 5*o + 5*y + 6, -k*o - 9 = 5*y. Let b(u) = -u - 3. What is b(o)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(x) = x - 1. Let h be r(3). What is the units digit of 1*(3 + -4 + h)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (y**4 + 0*y**4 - 6*y**4)*(2*y - y + y) + (-3*y**3 - 4*y**3 + 4*y**3)*(3*y**2 + 0*y**2 - y**2) + 2*y**5 - 2*y**5 + 2*y**5.\nAnswer: -14*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let m(h) = h**2. Let d(r) = 2*r**3 + 6*r**2 - 2*r - 2. Let j = -3 + 4. Let y = -1061 - -1055. What is j*d(c) + y*m(c)?\nAnswer: 2*c**3 - 2*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 119105 is divided by 8462?\nAnswer: 637","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -20936 = 1105*w + 1512*w for w.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (195\/13)\/(-45)*6*1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i(a) = -a**2. Let d(h) = -6*h**2 - 1846*h + 4. What is d(i(x))?\nAnswer: -6*x**4 + 1846*x**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -0.03202, -2\/11, 0?\nAnswer: -0.03202","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"}
{"text":"Question: Solve 60*s - 43 = -463 for s.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 118307.\nAnswer: 7, 16901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 2*l**2*t**3 - 27*l**2*t**2 + 31*l*t**4 - 34*l - 2*t**4 wrt t.\nAnswer: 12*l**2 + 744*l*t - 48*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 62910 is divided by 1904?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 54*k**3 - 8*k**3 - 13*k**3.\nAnswer: 33*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-7)\/(28\/(-69000))*2. Round k to the nearest one thousand.\nAnswer: 35000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 802.\nAnswer: 2, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.015 - 2121188800?\nAnswer: -2121188800.015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let n(a) = -a + 331. Let w be n(0). Let x = 505 - w. List the prime factors of x.\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-6426*l - 124 - 17 + 6667*l)*(6 - 2 - 3).\nAnswer: 241*l - 141","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((i\/(i*i\/i**(-6\/5)))\/i)\/i*i*i*i\/(i*i**2\/i*i)*i*i*i**(-9)*i*i*i*i\/(i*i*(i**(1\/4)*i)\/i)*i assuming i is positive.\nAnswer: i**(-169\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let o(z) = z**2 - 10*z. Let v be o(10). Let f(b) = -1 + v + 0 - b. Let y(c) = c + 1. Let d(l) = -4*f(l) - 3*y(l). What is d(-2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 152544 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let p(c) = -3*c**2 + 5213*c - 56981. Determine p(11).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 167252753 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: 19 divided by -12573\nAnswer: -19\/12573","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -470 - 3?\nAnswer: -473","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 15100, 15078, 15054, 15028, 15000, 14970?\nAnswer: 14938","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 2132 a factor of 6698744?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -6*o + 4*o + 4*o**3 - 2*o**3 - o**3 to f + z*o**2 + l*o**3 + h*o and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let -4*m**2 + 16*m + 84 = 0. Calculate m.\nAnswer: -3, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0\/(-7)*(-2)\/4.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -22*z + 16*z + 5*z.\nAnswer: -z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (4\/4)\/((-1)\/(-2)). Let d(p) = p**3 - 6*p**2 - p + 6. Let y be d(6). Suppose t*x + x - 255 = y. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -1711.019 - -1711. Sort 3, z, -1, -3 in descending order.\nAnswer: 3, z, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(y) be the third derivative of 0*y + 3\/2*y**3 + 1\/24*y**4 + 0 + 3*y**2. What is c(0)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 3, 24, 67, 144, 267, 448, 699, 1032?\n\"Answer: 2*j**3 - j**2 + 10*j - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r(a) = 41*a + 1. Calculate r(-1).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let w(a) = -2*a**3 - a**2 - 3*a + 2. Let z be w(-2). Factor -z*i + 4*i**2 - 3*i**2 + 19*i**2 - 5*i**2.\nAnswer: 5*i*(3*i - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 22.759  (b) 2\/3  (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let o be ((-1)\/(-4))\/(35\/70) + 69\/(-66). Let t = -5 - -2. Suppose 10 = -6*u + u. Which is the closest to 0?  (a) o  (b) t  (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(v) = 2*v**2 - 24*v - 184. What is the hundreds digit of h(51)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 40 and 140?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3*(4*sqrt(170)*-2)\/(3*sqrt(160)).\nAnswer: 2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let t(y) = -y**3 + 15*y**2 - 15*y + 17. Give t(14).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 817562134?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -1698, -3398, -5100, -6804, -8510, -10218, -11928?\nAnswer: -13640","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-1)\/(-3)*(2 + 16). Let s = x + -1. Let c = -8 - -3. What is the biggest value in s, c, -2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 863 a factor of 1969235?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -2353, -2112, -1871, -1630, -1389?\n\"Answer: 241*w - 2594","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence qqqq when four letters picked without replacement from {j: 2, q: 5}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Express 2*h**4 + h**2 + 5 - 2*h**2 - 3*h + 3 - 2*h + 2*h as i*h**3 + v*h**4 + t*h + o + u*h**2 and give o.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 7 + 4. What is the remainder when 48 is divided by w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 585 minutes before 9:07 AM?\nAnswer: 11:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 4298*c + 977 + 25 + 2715*c - 5481*c wrt c.\nAnswer: 1532","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -19*c + 906 - 792 = 0. Sort c, 1, -19, -4 in descending order.\nAnswer: c, 1, -4, -19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -3.9656 to 2 decimal places.\nAnswer: -3.97","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 12792 is divided by 6390?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:07 AM and 8:55 AM?\nAnswer: 468","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is -1 > 0.38?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0142042 rounded to 3 dps?\nAnswer: -0.014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 182 + -178.61. Let u = 3.175 - w. What is u rounded to two dps?\nAnswer: -0.22","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.3 * -0.5.\nAnswer: 0.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 0.09 + 0.11. Which is the closest to n?  (a) -1  (b) 5  (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be ((-3)\/(-21) - (-22)\/(-7)) + 527. Let r = p + -368. Calculate the highest common divisor of 26 and r.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 539 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5*(-5 + sqrt(275))*1.\nAnswer: -25*sqrt(11) + 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: 2 - (-5 - -16) - (-1499 + 1402)\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1*(sqrt(176) + (sqrt(176) - (sqrt(176)*3 - sqrt(176))))\/sqrt(4)*3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: -11 (base 12) to base 15\nAnswer: -d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 1  (b) 2\/7  (c) -1\/3  (d) -5  (e) 4\/43\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -35 - -34.5. Let d be (-3)\/18 - (-50)\/12. Which is the second smallest value?  (a) 0.6  (b) w  (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 5 + 55. What is the tens digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 8262*r**3*x**4 - 267*r**3*x**3 + 2096*r**3 - 646*r*x wrt x.\nAnswer: 99144*r**3*x**2 - 1602*r**3*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1261?\nAnswer: 13, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is bc6362 (base 15) in base 9?\nAnswer: 17808442","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-1)\/(10\/(-4)) + (-110)\/25. Let i be -4 + m\/((-16)\/28). Suppose 4 = i*a - 26. Calculate the highest common factor of a and 70.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*d**2\/7 + 340748*d + 101595549566.\nAnswer: 2*(d + 596309)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(2736) + 2)**2 + 1*sqrt(19)*3 - -4*(sqrt(19) + (sqrt(19) - sqrt(57)\/sqrt(3)))*3)*2.\nAnswer: 126*sqrt(19) + 5480","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from mhcrrmi. What is prob of sequence hm?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -111 - -187. Calculate the remainder when k is divided by 16.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 66\/23 or -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -z - 8 = -3*z. Suppose 26 = 5*a + 3*y, -3 + 1 = a - 3*y. Let o be a*2*2\/4. Solve -5*i - z*k + 4 = -8, 12 = i + o*k for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 1455, 1456, 1459, 1464, 1471?\nAnswer: 1480","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x(f) = -830*f - 2. Let v(z) = 10*z - 5. Calculate x(v(i)).\nAnswer: -8300*i + 4148","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*r - 4 = r, 4*y - 4*r + 4 = 0. Let u = 32 - 27. Solve 4*s - 6 = -u*n, 5*n + 11 = y for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -32*j + 31*j + 120 = 0. Let b = 291 - j. Is b a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 9.457125 nanograms to kilograms.\nAnswer: 0.000000000009457125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 33298, 33300, 33302, 33304?\n\"Answer: 2*p + 33296","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 34.46 - 0.46. Let u = f - 33.2. Which is the third smallest value?  (a) 0.5  (b) 0.2  (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ppzqqczkuzzucqzzzczz. What is prob of sequence qzzp?\nAnswer: 6\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 31 + -19. Suppose 2*g - 69 + c = -d, d + 4*g = 67. Is 19 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -6 or 9158?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 0 - 55143?\nAnswer: -55143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*q + 0*a = 2*a + 15, -2 = 3*q + a. Let x be (-1 - 0)*-4 - 2. Which is smaller: q or x?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 250328184?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Does 53 divide 13718?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from shshsh. What is prob of sequence shh?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:42 AM and 4:35 AM?\nAnswer: 53","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 255 minutes before 12:07 PM?\nAnswer: 7:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Does -1277 = -1268?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 0.1456 from -82584432.\nAnswer: -82584432.1456","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 1092\/((-104)\/(-8))*(182\/56)\/(-13)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -0.3916 - 0.1084. Put r, -0.2, 2, 1 in descending order.\nAnswer: 2, 1, -0.2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((a**(-1)*(a\/(a**7\/a))\/a)\/(a**7*a*a*a**1))**(-34) assuming a is positive.\nAnswer: a**578","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let s(q) = 3*q**2 - 3*q - 3. Let g(o) = o + 6*o**2 - 14*o**2 + o**2 + 6*o**2 + 1. Let t(f) = 4*g(f) + s(f). Calculate t(3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(n) be the second derivative of n**5\/20 - 5*n**4\/6 + n**3\/6 - 2*n**2 + 8*n. Let v = 7 + 3. List the prime factors of d(v).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -3131 + 6412. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 56\/93105 and 31\/390.\nAnswer: 2420730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 77 + -78.2. Let k = -2.2 - m. Which is the closest to k?  (a) -3  (b) -1  (c) -22\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -1548 - -10816\/7. What is the common denominator of -27\/4 and v?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 30548910?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let g(n) = -n**3 + 6*n**2 - 5*n + 2. Let u be g(5). Suppose 3294 = 4*t - u*c, -t - 4*c - 135 = -981. Suppose -5*p - 191 = -t. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -25431*g**3*j**2 + 20*g**3 + 737*g**2*j wrt j.\nAnswer: -50862*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let t(c) be the second derivative of -c**5\/60 + c**4\/24 + c**3\/6 + 15*c**2\/2 + 5*c. Let o(r) be the first derivative of t(r). Calculate o(0).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-4)\/(-18)*6\/(-10). Suppose -2*i = 2*i - 4. Let r be i\/(-1)*(0 - 5). Which is the smallest value?  (a) r  (b) f  (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0 + -6 + 2 - (0 - 0)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 0, 4, -0.2, -3, -1.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 14013816?\nAnswer: 2, 3, 583909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12 = 1160*s - 1164*s. Which is the biggest value?  (a) s  (b) 14  (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: (2 - 1) + -4 - (247 - 274)\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 3147081?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:44 PM and 12:31 AM?\nAnswer: 587","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5 - 21 = -2*s. Suppose -4*x - 15 = -9*x, 4*y - 12 = 4*x. Calculate the least common multiple of s and y.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*o + 145 = 49. Let m = o + 16. Differentiate -7 - 6 + 3 + m*i**2 wrt i.\nAnswer: 8*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -597 in 7, 0, -1\/4, -21\/16?\nAnswer: -21\/16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 8 and 0.09.\nAnswer: 0.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {c: 2, f: 2, e: 2}. What is prob of sequence cc?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*w - 37 = 9*m, -26*w = -22*w + 3*m + 7 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.8 and -0.3122?\nAnswer: 0.24976","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Does 143 divide 32686065?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*s - 5*s = -14. Suppose 2*m + 5*g + 11 = 5*m, 4*m - 3*g = 33. Suppose 0 = -3*l + m - 0. What is the remainder when s is divided by l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(l) = 3*l - 3*l + l**2. Let y(x) = -x + 1. Let s(z) = z - 1. Let n(a) = 5*a - 4. Let q(o) = n(o) + 2*s(o). Let h(f) = -q(f) - 6*y(f). Give h(p(b)).\nAnswer: -b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 7691 is divided by 179?\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: -4*(((-693)\/(-11))\/7 - 33\/6)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 321 + -314. Find the second derivative of -13*m**2 - 195025 - 185*m - z*m**3 + 195025 wrt m.\nAnswer: -42*m - 26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {u: 1, z: 1, g: 2, i: 3, p: 4}. Give prob of picking 1 p, 1 i, and 2 g.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.000002387 rounded to seven dps?\nAnswer: -0.0000024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -676800 rounded to the nearest 10000?\nAnswer: -680000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1281823?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 5  (b) -207  (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from bbbbdbdbdbbdbddd. Give prob of sequence bbbd.\nAnswer: 21\/260","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let g(y) = -53*y**4 - 7*y**2 + 118*y. Let v(r) = -79*r**4 - 10*r**2 + 178*r. Let j(b) = -7*g(b) + 5*v(b). What is the third derivative of j(s) wrt s?\nAnswer: -576*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*a - 9 - 16. Suppose 0 = 3*l - 0*l + a*x - 5, x + 2 = 0. Suppose 2*h - 5*v = -5, -1 = 5*h + l*v - 6. Which is smaller: h or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-w + 2*w + 0*w)*(4*w**2 - 8*w**2 - 2*w**2)*(0 + 4 - 1) + 178*w - 52*w**2 - 178*w + 5*w**3 in the form z*w + q*w**3 + g*w**2 + k and give g.\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 1005, 1004, 1003, 1002, 1001?\nAnswer: 1000","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert 439.4668 millimeters to centimeters.\nAnswer: 43.94668","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Add -9376.2 and 4220399084.\nAnswer: 4220389707.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 671*j - 18662 = 640*j. Calculate the lowest common multiple of j and 56.\nAnswer: 2408","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00006264 to five dps.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -6*d*k**3 - 3*d - k**3 + k wrt d.\nAnswer: -6*k**3 - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -31884 take away 4?\nAnswer: -31888","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 260 - 3?\nAnswer: 25a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 105910 - 3?\nAnswer: 105907","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Divide -1546 by 21726.\nAnswer: -773\/10863","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let p(r) = 14*r + 4. Determine p(-2).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: (192\/(-4160))\/((3\/15)\/1)\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3*-2*sqrt(4212))\/(sqrt(16)\/(sqrt(4) + sqrt(20)\/sqrt(5))*-1).\nAnswer: 108*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is -1 >= 840\/3257?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4555*k - 174782 - 139055 = 168993 for k.\nAnswer: 106","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 2 - 2 - 3 - (5 + -4)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) 158  (b) 3\/2  (c) 1  (d) 4  (e) -1\/4  (f) 47.64\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 440768921.\nAnswer: 3037, 145133","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -42, -58, -36, 30, 146, 318?\nAnswer: 552","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j(o) = o**3 + 8*o**2 + 8*o + 7. Let q be j(-7). Suppose 0 = 3*s - q*s - 9. What is the first derivative of a + a + s - 6 wrt a?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2230?\nAnswer: 2, 5, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1184298 is divided by 8586.\nAnswer: 8016","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 3.590996 decades in millennia?\nAnswer: 0.03590996","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express (-3 + 0 + 2)*((-11 - 4 - 8)*(-3*w - 5*w + 6*w) - 17*w + 8*w - 8*w) in the form d + l*w and give l.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*l + 3*l - 3 = 11 - 4, -4*w - 4*l + 1308 = -56*w for w.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -x = -6*x - 170. Let f = 38 + x. Suppose -5 = n, 78 = 4*z - 0*n + 2*n. Solve 2*t - l = f, -z = -4*t - 2*l - 3*l for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -41\/7596 and 35\/3512001.\nAnswer: 8892386532","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-18*k - 26*k - k)*((1 + 2 - 5)*(1 - 1 + 1) + 0 + 10 + 13) - 4 - k + 4.\nAnswer: -946*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 13033713 and 1861959.\nAnswer: 13033713","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*n = -c - 11*n + 6608, -4*n = -5*c + 33040. What are the prime factors of c?\nAnswer: 2, 7, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 5549091?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-4590)\/189*(-7)\/2. Calculate the highest common factor of d and 119.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 5 - (-3035)\/(1 - 0)*1 is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -2 - -2. Suppose -1015 = 5*y + 5*v, -v + 190 + 9 = -y. Let n = y - -204. Which is the closest to -0.2?  (a) -5  (b) d  (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 179 divided by 1.\nAnswer: 179","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1 - 4 - (-77 + 70).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 253901 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Convert 3 (base 5) to base 16.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from zzzivviiziwvriv. Give prob of picking 1 i, 2 v, and 1 z.\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -25*v + 97520 = -121792 + 24712. List the prime factors of v.\nAnswer: 2, 7, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: -386 divided by -211993\nAnswer: 386\/211993","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.0572 and 0.1.\nAnswer: 0.00572","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -28 - -48. Let f = i + 11. Suppose -4*c - 3*l = -39, -2*l + 7*l = -c + f. Solve c*z = 2*z + 4 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(q) = 162*q + 163. What are the prime factors of j(22)?\nAnswer: 3727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 454 minutes before 5:37 AM?\nAnswer: 10:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (6 - 4) + (-64)\/30. Let l = 162 - 167. Put l, 2, u in decreasing order.\nAnswer: 2, u, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from vmgxgmdxgmgxxs. What is prob of picking 1 v and 1 m?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -h = -2*u - 0*u - 6, 16 = h - 4*u. Suppose 4*c = 2*i + 2*i - 12, -c + 4*i - 3 = 0. Sort c, h, -21.\nAnswer: -21, h, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(n) = -2*n**3 + 717*n**2 - 1082*n + 3937. Give i(357).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let p be -20 + 3 + (-5 - -3). Let d = -10 - p. List the prime factors of d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 3982?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -287.3 - -266.6. Is y not equal to 0.4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 11\/508 and 68\/381?\nAnswer: 1524","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 2217971465?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*y + 4*u + 36 = 6, 24 = 4*y + 3*u. Let a = y - 5. Sort -2, a, -5.\nAnswer: -5, -2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 936 and 6688.\nAnswer: 782496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0078 times -0.3?\nAnswer: -0.00234","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (16\/40)\/((-2)\/(-5)). Let t be (-1)\/((q - -1)\/4). Which is the nearest to t?  (a) 3  (b) 5  (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5*b + 9*b - 20*b.\nAnswer: -6*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 2 + (0 + 2 - (27 + -23))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*c + 824997 = 3*c + h, 3*h + 4125009 = 5*c. What is c rounded to the nearest ten thousand?\nAnswer: 830000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 20622097879 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 348*l + 168 = -179 - 1045 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -87\/56 and -31\/2316224?\nAnswer: 16213568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Express (86*w + 204 + 279 - 477)*(3 - 4 + 7)*(2 + 3 - 2)*(3*w + 0*w - 2*w) as t + x*w**2 + d*w and give x.\nAnswer: 1548","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-1)\/(-1)*(-1)\/(-5).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 115873 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 547876?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Does 99 divide 20790?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 2, 4, 2\/3, -0.1, 0.033, 5?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*f = 3*d - 10104, -3*f - 10104 = -6*f + 5*d. Is f a multiple of 47?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 17*g + 51 + 136 = 0 for g.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -6 + 8. Solve 0 = v - x + 3 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -4 - -50255a?\nAnswer: 502556","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let r(n) = n**3 + 61*n**2 - 265*n - 258. Calculate r(-65).\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -1\/2, 1.551, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 58 - 35. Suppose 3*i + 4 = -5*c - 4, -2*i = c - 4. Suppose i*s - 61 = w. Calculate the remainder when 60 is divided by s.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 7\/4 of a centimeter in micrometers?\nAnswer: 17500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort -25\/2, -1\/4, -8, 0.3 in increasing order.\nAnswer: -25\/2, -8, -1\/4, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let r(o) = o - 2. Let s be r(4). Suppose 5*p + 47 = s*u, -2*p + 5*p + 30 = 3*u. Is 6\/p - (-285)\/9 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -i - 4*p = -11, -4*i = 5*p - 0*p - 22. Find s such that -3*s**3 + 5*s**i - 2*s - s**5 + s = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 8 is divided by 6\/((-6)\/(-2)) - 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -10040550 - -51?\nAnswer: -10040466","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*r**4 - 3*r**4 + 3*r**4 - r**4 - 5*r**4 + 2*r**4 + (0*r + 2*r + 0*r)*(-r**3 - 2*r**3 + 2*r**3) + 17*r**4 - 40*r**4 - 20*r**4.\nAnswer: -51*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 40 minutes before 5:16 PM?\nAnswer: 4:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*w = 4*c + 104, -3*c + 3982*w - 79 = 3986*w for c.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 2563800 and 80?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let c(o) = -o - 2. Let f(s) be the third derivative of -s**4\/4 - 5*s**3\/3 - 11*s**2. Let j be (6\/(-15))\/((-2)\/(-10)). What is j*f(d) + 11*c(d)?\nAnswer: d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 3\/(-9)*(-2 + -43) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1281*c**2 - 184*c + 94*c + 90*c.\nAnswer: 1281*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 97367, 194773, 292179, 389585?\nAnswer: 486991","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -997 + 992. Suppose 16 = -4*h, -6*p + 2*p + 2*h + 116 = 0. Let z be -3*(0 + (-6)\/p). Sort 1, -0.37, t, z.\nAnswer: t, -0.37, z, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (8\/(-6))\/((-3)\/18). Let y = 23 - t. Suppose -v + 21 = -4*j, 0*j - 4*j = 5*v + y. Solve -3*b + v = 7 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -0.5417 - -0.0417. Let v = 6.4 + -6. Let n = v + -0.4. What is the nearest to n in -4\/7, z, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0023229376 rounded to three decimal places?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(33)\/(2*sqrt(3)) + 2.\nAnswer: sqrt(11)\/2 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*t = 4*t - 5. Is -1119*t\/(-10)*2\/3 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -27 = 4*l + 3*h, 3*h = 10*l - 11*l - 18 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let j(t) = -2*t + 15. Give j(-10).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 1.28 + -1.38. Sort 4\/7, 0.2, c, -13 in decreasing order.\nAnswer: 4\/7, 0.2, c, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((a**0\/a)\/a)**(-10\/3))**(-36)\/(a*a\/(a*(a*a*a\/(a*a**(-3\/8)))\/a)*a*a*a*a\/(a*a**0)*(a*(a**(1\/2)*a)\/a)\/a**0) assuming a is positive.\nAnswer: a**(-1953\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 12242?\nAnswer: 2, 6121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 175\/(-49) - -19 - (-96)\/(-6)?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth biggest value in -3\/8, 2615, -1\/2, 0, 21, 3\/4?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 85.6, -2\/9, 0.213?\nAnswer: 85.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -4 and 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-46)\/(-3) + 2\/(-6). Suppose -3*b = 2*b - i. Suppose 1 + 17 = b*p. Solve 0 = j + 2 - 0, -j + p = -2*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 4 + -1456?\nAnswer: -1452","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let y(z) = -z**4 - 4*z - 2. Let u(i) = 2*i + 2. Let d(m) = -m - 1. Let l(t) = 3*d(t) + u(t). Let q(f) = 4*l(f) - y(f). Differentiate q(c) wrt c.\nAnswer: 4*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(l) = l**2 + 3*l - 4. Let g be k(-4). Find the first derivative of 3*q + 3*q - 3 - 2 + g wrt q.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, 1, -13 in decreasing order.\nAnswer: 1, -3, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let n(q) be the first derivative of 2*q**3\/3 + 7*q**2\/2 + 5*q - 10. Let y(m) be the third derivative of m**4\/24 + m**3\/6 - 2*m**2. Calculate -n(h) + 6*y(h).\nAnswer: -2*h**2 - h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -232, -1095, -3180, -7099, -13464, -22887?\nAnswer: -35980","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 21\/4 of a litre in millilitres?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 181178 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: Calculate the remainder when 56382 is divided by 11.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 371778?\nAnswer: 2, 3, 11, 43, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is -274 minus 54868844312?\nAnswer: -54868844586","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 162938431 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 2*u + 599 + 178*u**4 - 2*u - 398 + 490 wrt u.\nAnswer: 712*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2991.\nAnswer: 3, 997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -41, -204, -491, -902, -1437?\nAnswer: -2096","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 36?  (a) -23.6  (b) 4  (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from crptssa. Give prob of picking 1 s and 1 t.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3\/5, -14\/9, 13, -2, -1\/8.\nAnswer: -2, -14\/9, -1\/8, 3\/5, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let d(o) = -6*o + 92. Let z be d(-28). Suppose 2*u = -z + 2164. What is the hundreds digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 1\/5062 + -167117\/359402. Suppose 5*r = -8*q + 3*q - 225, -4*r = 16. Find the common denominator of s and q.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(g) = g + 12. Let w be x(-9). Suppose -w*d + 12 + 18 = 0. Suppose t + t + 268 = 3*n, -5*t = -5. Calculate the greatest common factor of d and n.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -71.25 - 0.4?\nAnswer: -71.65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 u and 1 r when two letters picked without replacement from prkikreu.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let l(f) be the second derivative of 18*f + 1\/27*f**6 - 5\/54*f**4 + 0*f**2 + 1\/45*f**5 - 2 - 2\/27*f**3. Find t, given that l(t) = 0.\nAnswer: -1, -2\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: 671\/122 - (-1)\/2\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(z) = z**2 - 6*z**2 + 3*z**2. Let v(y) = -8*y + 5. Determine g(v(k)).\nAnswer: -128*k**2 + 160*k - 50","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 28, 266, 702, 1330, 2144?\nAnswer: 3138","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Does 8 divide 380123?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -149, -143, -137, -131?\nAnswer: -125","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y(a) be the third derivative of -a**5\/30 - 2*a**2. Let o(s) = -60*s - 62*s + 5*s**2 + 122*s. Give o(y(p)).\nAnswer: 20*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let j(t) = -2*t + 4. Let y(f) = f - 1. Let p(z) = -j(z) - 4*y(z). Let k(u) = -4 - 13*u**2 + 11*u**2 + 4. Calculate k(p(v)).\nAnswer: -8*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -0.028 + 50.628. Let r = -13.1 + q. Let x = r - 47. What is x rounded to zero decimal places?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1?  (a) -0.8176  (b) -2  (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.3992 rounded to 1 dp?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (2 + 0 - 4)*(63 - 8*x - 63) + 2 - 2 - x - 3*x - x + 2*x + x - 16 + 17 - 12 to j + u*x and give u.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:24 AM and 4:25 AM?\nAnswer: 181","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:14 PM and 10:23 AM?\nAnswer: 669","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -17 - 2?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Does 294 divide 12146316?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1728?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let a(d) = -21*d**3 + 3*d**2 + 3*d - 277. Let g(q) = 26*q**3 - 4*q**2 - 3*q + 276. Calculate -5*a(u) - 4*g(u).\nAnswer: u**3 + u**2 - 3*u + 281","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 19933 divided by -15.\nAnswer: -19933\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*y + 2 = 2*y - 3*r, r = 5*y - 14. What is the closest to 0.1 in y, 5, -4\/5?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 860 and 3010?\nAnswer: 6020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 10909?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5*((sqrt(88)\/sqrt(4))\/sqrt(2) - (-1 + sqrt(1584))).\nAnswer: -5 + 55*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 8*b - 2*x - 42, 3*x - 323 = -326 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 5388*m**2*q**3 + 890*m**2*q + 2*m**2 - 144*q**4 - q - 13 wrt q.\nAnswer: 32328*m**2*q - 1728*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let c(x) = -16*x**2 - 80*x + 2. Let t be c(-5). Solve -7*g + 10*g + t*m + 6 = 0, 0 = -2*g + 2*m + 6 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 144 and 180.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: (-21)\/(-55) - (-2)\/(-10)\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*(-3 + -2*sqrt(567)*5) + (2 + (sqrt(77) + 1*(sqrt(77)*-1 + sqrt(77)))\/sqrt(11))*-4)**2.\nAnswer: 2068*sqrt(7) + 61973","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1808034 = -3*q - 2*h, 3*q - 1808022 = -25*h + 27*h. Suppose 0 = -25*j + 23749 + q. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2212552253 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 86 is divided by 15.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -16341 and -4.\nAnswer: 65364","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -765.8 + 766. What is the third smallest value in -35, 2\/7, c?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -100 divided by 2?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 99320?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 9 + -6. Let g(h) = 2*h - 4. Let f be g(i). Suppose f*m = -2, 2*m = -3*r + r + 352. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 n and 1 o when four letters picked without replacement from {b: 1, o: 1, n: 1, d: 2}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let n(h) = -92*h**3 + 9*h**2 + 22*h - 1. Let y(t) = -184*t**3 + 21*t**2 + 47*t - 2. Calculate -7*n(c) + 3*y(c).\nAnswer: 92*c**3 - 13*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 191650 is divided by 63883?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is -221313 divided by -434?\nAnswer: 221313\/434","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 56085509 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -7 - -11. Let x(n) = 5*n + 4. Let u be x(-2). Let i = u + a. Let h(o) = 6*o + 3. Give h(i).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 346 - 3800\/11. Let b = -315 + 317. Is b not equal to m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 42 - (5 + 4 - (-30 - -49)).\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round -3082.02 to the nearest 10.\nAnswer: -3080","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 300281 + -2?\nAnswer: 300278","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Put 6, 24, 0, 77 in decreasing order.\nAnswer: 77, 24, 6, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 26777 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0000024396 to six dps.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 11 - 2. Does 2 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-1044)\/7308*(-28)\/9\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -2b + 2?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is -1189 != -1188?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -29\/34 and 101\/4872.\nAnswer: 82824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let d(l) = -11*l**3 - l**2 + 3*l + 2. Let c be d(-2). Let m = -82 + c. Is (-84304)\/(-112) + m\/(-7) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -12 + 16. What is the remainder when g is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*y - 8 = 4. Suppose -y*b = 2*v - 15, -b - 2*b = v - 12. Suppose -2*j = s + 34 - 145, 0 = v*j + 5*s - 184. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1249585.515 rounded to the nearest ten thousand?\nAnswer: -1250000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: -43 + 84 + -21 + (102 - 3)\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1268*o + 38180 = -806*o - 794*o for o.\nAnswer: -115","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: -24427 (base 11) to base 2\nAnswer: -1000100100101111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -41971 + 42043.058. Let h = u + -72. Round h to two dps.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -29131 rounded to the nearest one thousand?\nAnswer: -29000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2368241?\nAnswer: 23, 102967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 96*h - 66372 = 92*h - 2*a, -h + 3*a + 16614 = 0. Is h a multiple of 88?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4 = 7*d - 9*d, c - 2*d = -278. Let p be ((-63)\/(-42))\/((-3)\/c). Calculate the greatest common factor of p and 517.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (27\/6)\/(3\/20). Let n = -17 + m. Let l = 11 - n. Sort l, -1, -3 in descending order.\nAnswer: -1, l, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find x such that -3*x**3 - 23403*x**2 + 4702827*x + 4726227 = 0.\nAnswer: -7997, -1, 197","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let g(f) = 2*f**2 - 1. Let w be g(-1). Suppose 0 = 5*o - 26 + 21. Let l(u) = u**3 - u + 1. Let m be l(o). Solve -n = -m - w for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(z) = -z**3 + 10*z**2 - 10*z + 9. Let x be h(9). Solve -s - 4*s - 4*f + 6 = x, -f = -4 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 16938185 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -35 = -6*g + g. Let k(c) = c**2 - 2*c**2 - 2*c + 10*c - 5. Let z be k(g). What is the second biggest value in -3\/8, z, -1?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 143\/60 and -46\/32865?\nAnswer: 131460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*(-2*sqrt(156) + sqrt(156) - sqrt(156)) - ((sqrt(156) - 5*sqrt(156)*-1) + sqrt(156)))\/(sqrt(27) + sqrt(972) - sqrt(3) - (sqrt(36)\/sqrt(2))\/sqrt(6)).\nAnswer: -22*sqrt(13)\/19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 + 0 - 1)*(6*r - 2*r - 2*r) - 784 + 784 - r + 5*r + r + 1 - 4*r.\nAnswer: 5*r + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -50.1 + 50.10613. Round a to 3 decimal places.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 43867169 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*k + w + 5 = 0, 4*w + 14 = -2*k - 0*w for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(22) + (-2*sqrt(352) + sqrt(352) - sqrt(352)) + sqrt(352) + sqrt(22))\/(2*sqrt(1331)).\nAnswer: -sqrt(2)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 44 and 448?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence on when two letters picked without replacement from {s: 2, n: 1, o: 4}.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let b(m) = -10998*m + 3 + 6 - 4 + 1. Let r be b(-3). What is r rounded to the nearest one thousand?\nAnswer: 33000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 29491721 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve -r = 7*s - 11*s - 21, 3*r + 346 = s + 387 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 8\/106005 and 1\/469530?\nAnswer: 89680230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(288) - -4*sqrt(288)*4)**2 + sqrt(288).\nAnswer: 12*sqrt(2) + 83232","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is (((-385)\/(-22))\/5)\/((-1)\/2)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in 2957.2794 months?\nAnswer: 246.43995","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w(c) = -69*c + 53. Let k be w(-19). Suppose 0 = 3*m - f - k, 5*m + 4*f - 1766 - 479 = 0. What is the remainder when m is divided by 35?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*z + 2*j - 174 = 0, -2*z + 64 = 4*j - 6*j. Let x = 33 + -20. Let q = -1 + x. Calculate the remainder when z is divided by q.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.23 and 1.1.\nAnswer: 0.253","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let y(n) be the first derivative of 288 + 1\/3*n**6 + 20\/3*n**3 + 0*n - 4*n**5 - 21*n**2 + 10*n**4. Solve y(u) = 0.\nAnswer: -1, 0, 1, 3, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*g**2 - 5*g**2 + 2*g**2)*(53 + 111 + 33 + (-2 + 1 - 1)*(-1 + 2 - 2)).\nAnswer: -1194*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -31747, -127310, -286689, -509884, -796895, -1147722, -1562365?\nAnswer: -2040824","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*j = 3*z - 3, 30 = -6*j + 18961*z - 18965*z for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 2580*m**2 + 698*m.\nAnswer: 5160","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Convert -101013122 (base 4) to base 2.\nAnswer: -10001000111011010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 4254585080 a multiple of 1426?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 77 at most 79?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let v be -3 + 2\/2 + -1. Let m be v + (0 - 0) + 6. What is the highest common factor of m and 30?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -820.7514697 to 2 decimal places.\nAnswer: -820.75","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let p(o) = -o**2 - 6*o + 6. Let f = 7 - 14. Give p(f).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 23 a factor of 258?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 61088877 to the power of 1\/2, to the nearest integer?\nAnswer: 7816","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 177396, 177392, 177388, 177384, 177380?\n\"Answer: -4*r + 177400","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6 = -q - 5*z, 3*z = q - z - 3. Let u be 19 + q + -3 + -5. Suppose -546 = -u*d + 154. What is the units digit of d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -8*y**4 - 25*y**4 + 4*y**4 + (0 + 2*y**2 + 0)*(-2*y**2 + 2*y**2 - 2*y**2) + 2*y**4 - 4*y**4 + 0*y**4 - 357*y**3 + 357*y**3 + 69*y**4.\nAnswer: 34*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 6227*z**2 + 42*z + 1534 wrt z?\nAnswer: 12454","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 39 - 28. Let v = h + -7. Suppose -65 = -9*i + v*i. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0 + -6 + 3 + (-2 - -7).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.109 and -0.15.\nAnswer: 0.01635","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -p - 3*t + 3 = 0, 0 = 2*p - 3*t - 3 - 3. Let o be p\/(-5)*35\/(-7). Let c(v) = -2*v**3 - 7*v**2 + 7*v + 12. Let l be c(-4). Solve l*n = -3*n + o for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.02 times 26.9517?\nAnswer: -0.539034","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let d(q) = 16*q. Let a(o) = -7*o. Calculate d(a(j)).\nAnswer: -112*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 3081643 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 304 and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 995810 to the nearest integer?\nAnswer: 998","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -35*c**2*f*q**3 - c**2*q**2 - c**2*q + 2*c*f*q**3 + 24*f wrt q.\nAnswer: -210*c**2*f + 12*c*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Convert 15820 (base 13) to base 16.\nAnswer: 9fdc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express -126*o**2 - 4*o + 130*o**2 + 20*o + 386*o as r*o + u*o**2 + b and give u.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -59 - -235\/4. Let b = -3791\/20 - -759\/4. What is the third smallest value in -0.2, 3, j, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -2493783 - -4729467\/2. Let p = -126591 - s. Let x = p + -49273\/20. Find the common denominator of -93\/8 and x.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 6149923.\nAnswer: 13, 467, 1013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -46 = -5*p + 9*q - 6*q, 0 = 3*p - 3*q - 36 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let k(u) = -u**3 - u**2 - u + 1. Let z be k(0). Let m be 8\/4 + 0\/z. Let v be (-114)\/(-2) + (-1)\/(m\/(-6)). What is the greatest common factor of v and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 3\/9 - 20\/15. Let a be (0 - s)\/((-15)\/40035). Let m be 3\/5 + a\/(-85). Calculate the highest common divisor of m and 96.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 3*g**3 - 3*g**3 - 2*g**4 + g**2 - 5*g**4 wrt g.\nAnswer: -168*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 3173*j**3 + 3*j**2*q - 65*j**2 + 2*j*q - 11817413*j wrt j.\nAnswer: 19038*j + 6*q - 130","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 56684, -2\/11, 100?\nAnswer: 56684","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2 + (sqrt(19) + sqrt(171)\/sqrt(9)*-4 - -4*sqrt(19)*1).\nAnswer: -2 + sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 521.52127 rounded to the nearest one hundred?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -5 + 33125532220?\nAnswer: 33125532211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 4480\/42*(103 + -1)*1?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 11 + 17 + -13 + -31.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*z**3\/7 + 387*z**2\/7 + 15345*z\/7 + 172425\/7.\nAnswer: 3*(z + 19)*(z + 55)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 333 is divided by 13.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 3\/5 + 4\/20?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 2*h**3*n**3 + 7537*h**3 - 4*h**2*n - 5306*h*n**3 + 12*h*n**2 + 2*n**3 wrt h?\nAnswer: 12*h*n**3 + 45222*h - 8*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let a(d) = d**2 - d - 1. Let h(b) = 6*b**2 - 6*b - 5. Let n(t) = 5*a(t) - h(t). Let i(k) = -1. Determine i(z) - n(z).\nAnswer: z**2 - z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 66\/(-12474)*-63*12\/(-46)?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is -3 less than or equal to -19\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let y(p) be the first derivative of -127*p**3\/3 + p - 8937. Let x(w) = 42*w**2. Give -7*x(n) - 2*y(n).\nAnswer: -40*n**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 26 + -21. Suppose j + 0*j + 3*h = -2, -h = -4*j + d. Solve j = -2*x - 5 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 13\/26*8\/(-22).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 32 is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 2769529121 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(15) + sqrt(405)\/sqrt(3) + 2*sqrt(15)*-2)\/(5*(sqrt(9) - (sqrt(9) + sqrt(9)*3 - sqrt(9)))\/sqrt(3)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-8)\/(-20)*2\/(-2). Which is the nearest to 0.1?  (a) 2  (b) 2\/9  (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 25?  (a) -0.4  (b) 5  (c) -1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-2)\/(-10) + 76\/20. Suppose -11 = -3*x - 2. Suppose 4*v = -4*l + 20, -x*v - f*l = -v - 14. Is 3 less than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 18 = -4*o + 42. Solve -2*k + 4*v + 3 - 1 = 0, o = -5*k - v for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -76604.54 - -77440. Round n to the nearest ten.\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 64 divide 234279063?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let t(c) = 5*c**2 - 3*c + 45. Let q(g) = 11*g**2 - 7*g + 89. Let i(a) = -4*q(a) + 9*t(a). Calculate the remainder when i(0) is divided by 25.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(n) = 53*n + 6904. Let p(s) = 132*s + 13807. What is -2*p(w) + 5*t(w)?\nAnswer: w + 6906","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-3)\/(-63*(-14)\/(-168))?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m be -2*((-14)\/12 - 2\/(-12)). Suppose -2*y - m*t + 21 = -125, 3*t + 341 = 5*y. Let h = y + 109. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(l) = 4. Let u(j) = 227*j + 12. Calculate -3*g(m) + u(m).\nAnswer: 227*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*z + 1 - 1)*(27*z + z**2 - 27*z) + (-3*z**2 + z**2 + z**2)*(-3 + 3 + 2*z) - 384 + 384 - 28*z**3.\nAnswer: -32*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -g + 5*s = -86, -4*g + 9*g = -3*s + 486. Let p be 1*2*3\/6. Determine d, given that p - 3*d + 0*d + g*d**3 - 93*d**3 - d**2 = 0.\nAnswer: -1, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(h) = -3*h**3 - 14*h**2 + 44*h - 4. Let o be j(-13). Let p = -43739\/12 + o. Calculate the common denominator of 133\/204 and p.\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 6 (base 8) in base 3?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j(b) = b**3 - 9*b**2 - 10*b + 15. Let f be j(10). Let h be (6\/5)\/(6\/15). Suppose 5 = 4*t - h. Solve -v - t*v = f for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -690848903, -1381697804, -2072546705?\nAnswer: -2763395606","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -8627ab - 10?\nAnswer: -8627bb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let k(h) = -3*h. Let x(l) = -342*l**2. Give k(x(y)).\nAnswer: 1026*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: 32\/24*-1*((-30)\/6)\/30\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n(d) be the first derivative of 75\/2*d**2 - 23 - 49*d. Differentiate n(j) wrt j.\nAnswer: 75","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 9, -15261, -2, 5 in descending order.\nAnswer: 9, 5, -2, -15261","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 26375\/28 + -942. Which is bigger: 1 or f?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-2*sqrt(384)*6 + sqrt(384))\/(sqrt(22)\/sqrt(44) - -1*sqrt(98)))**2.\nAnswer: 30976\/75","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 19\/21 - 31\/42. Which is the nearest to s?  (a) 0.3  (b) -10  (c) 4  (d) -2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, -6715, 2, -0.3, 4 in decreasing order.\nAnswer: 5, 4, 2, -0.3, -6715","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(49)\/(5*sqrt(49)\/sqrt(7))*2 + sqrt(28) + (sqrt(140) + sqrt(140) + (sqrt(140) - (-1*sqrt(140) + sqrt(140))))\/sqrt(5) + sqrt(252)*1)**2.\nAnswer: 36288\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.2 in -482\/11, -504, 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -6 + 5.75. Let x = i - -0.15. What is the nearest to -1\/4 in 2\/3, 0, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(v) = v. Let z(t) = 9*t - 187. Let f(a) = -19*a + 376. Let i(w) = -3*f(w) - 7*z(w). Determine s(i(g)).\nAnswer: -6*g + 181","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify d**(23\/2)\/d**(1\/19) assuming d is positive.\nAnswer: d**(435\/38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 98 a factor of 1948159?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -14072, -14066, -14060, -14054?\nAnswer: -14048","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 12\/145 + 109\/435. Let p(i) be the second derivative of f*i**3 + 0 + 0*i**4 - 7*i + 0*i**2 - 1\/4*i**5. What is the second derivative of p(m) wrt m?\nAnswer: -30*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-6 + -1)*(0 + -1). Let g = 98 + -103. Let a = g + i. What is the highest common factor of 3 and a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) 39  (b) -2\/21  (c) 0  (d) 4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Factor z**3\/3 - 5099*z**2\/3 + 307489*z - 14164179.\nAnswer: (z - 4913)*(z - 93)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve l = -2*w + 36 - 28, 4 + 8 = 3*l for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: -6185*535\nAnswer: -3308975","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"}
{"text":"Question: Let m(o) = o**2 + 5*o - 11. Let x be m(11). Suppose 9*l = 4*l + 530. Let g = x - l. Does 4 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 u and 1 c when two letters picked without replacement from {c: 3, u: 6, o: 2, k: 1}?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Express (-3*f + f - f)*(f**3 - 2*f**3 - 5*f**3) + (2 - 2 + 2*f**3)*(-f - 1 + 1) as u*f**3 + p*f**4 + m*f + j*f**2 + s and give p.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*h - 2*a + a = 34000, -h = -5*a - 6776. Let b = 136073\/20 - h. What is the common denominator of (-72)\/468 + (-744)\/(-273) and b?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -548 by 137.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 496\/37 <= 13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 20094\/(-2)*(0 - 11 - (-2436)\/252)?\nAnswer: 2, 17, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -g = -2*p, -4 + 16 = 5*g + 2*p. Let x = 0.02 + 2.98. Let s = 2.9 - x. Is g at most s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 25440\/(-16112)*19\/(-2).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, 4, 21, -5, -8, -43, -496 in increasing order.\nAnswer: -496, -43, -8, -5, 3, 4, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: -2323332 (base 6) to base 10\nAnswer: -120008","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d\/d**(2\/5)*d)**(-31)\/(d**(-2)*d*d**(6\/11)*d*d)*((d*d**5*d)\/(d*d*d*((((d\/((d**(-2\/9)*d)\/d)*d)\/d)\/d)\/d)\/d))\/(d**0\/d*d)**(-2\/9) assuming d is positive.\nAnswer: d**(-22457\/495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence cwc when three letters picked without replacement from dczwdddwwczzzoodod?\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-14)\/(-6) - 1\/3. Suppose 3*u - 4*u = 3*z - 11, -q*z = 5*u - 29. Let l be (2 + 5 - z)*-1. Let m(a) = 2*a + 7. What is m(l)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 35541349021 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -5*8\/(-10)*(-16)\/(-24)?\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {f: 6, w: 1, u: 1, q: 1}. What is prob of sequence wq?\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) -0.049  (b) 674  (c) 8\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 4576 (base 10) in base 12?\nAnswer: 2794","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*p**2 - 113739251823*p + 113739251823*p.\nAnswer: 2*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: -58469829 divided by 957\nAnswer: -61097","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from mkkmkkmmmk. What is prob of sequence kkmk?\nAnswer: 5\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 606372 or 606373?\nAnswer: 606373","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3 + sqrt(27)\/(sqrt(54)\/(sqrt(6)*-1)) + 2 + 1)**2.\nAnswer: -12*sqrt(3) + 39","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 12347 or 283952\/23?\nAnswer: 12347","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*o = 2*o + 180. Let x = 1079\/12 + o. Let v = -4\/489 + -950\/3423. What is the closest to -2\/5 in x, 0, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(v) = v**3 - 11*v**2 - 22*v + 52. Give y(14).\nAnswer: 332","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 292 minutes before 12:57 PM?\nAnswer: 8:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Factor 10*g**3 + 264*g**2 + 806*g + 552.\nAnswer: 2*(g + 1)*(g + 23)*(5*g + 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 2 + (-1 - (0 + 1)). Let t be 0\/(q + -1 + 2). Find f such that 2\/7*f**2 + 2\/7*f**4 + 0*f + t + 4\/7*f**3 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 3707187 or 3707189?\nAnswer: 3707187","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand 175*s + 120*s**5 - 175*s - 2*s**5 - 2*s**5 + 3*s**5 + (3 - s**2 - 3)*(-s**3 + 7*s**3 - 4*s**3) + (s**4 + s**4 + 0*s**4)*(-2*s - s + 5*s).\nAnswer: 121*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.1 + 46412064.\nAnswer: 46412064.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 130047 a multiple of 115?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -95 = -25*j - 3*a, 205*j - 31*a - 305 = 206*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 1530513883 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*m**2 + 216 - 216 - 89*m + 2578*m.\nAnswer: -2*m**2 + 2489*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 3 + 2. Let q be ((-8)\/(-10))\/(((-24)\/(-45))\/(-4)). Let m(v) = 4*v**2 - 2*v + 1. Let i(p) = 2*p**2 + p**2 - p + 1 - p. Give k*m(c) + q*i(c).\nAnswer: 2*c**2 + 2*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 15884 divided by -44?\nAnswer: -361","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 59566 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Does 13 divide 182?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 8*l**3 + 2*l - l**3 + 6*l**3 to d*l**3 + f + v*l + b*l**2 and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 7 + 3*(-4)\/6. Find c such that -z*c**3 - 4*c**4 + 3*c**3 + 10*c**4 - 3*c**5 - c**3 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 8500 and 3189404?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 166*q**3 + 420*q**3 + 257*q**3 - 47*q + 199*q**3.\nAnswer: 1042*q**3 - 47*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 23, 39, 51, 53, 39, 3?\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:26 PM and 6:09 AM?\nAnswer: 703","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*t - 10 + 3 = -3*x, -x + 8 = 4*t. Suppose -w = -10 - t. Let q = 243 + -221. What is the highest common divisor of w and q?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(o) = 30*o**2 - 13*o + 33. Let u(t) = 7*t**2 + 1. Let m(a) = -c(a) + 4*u(a). Determine m(3).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -482 - -482.338. Let d = -0.062 - l. Which is the third biggest value?  (a) 1  (b) d  (c) -0.54\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 108971875 to the nearest integer?\nAnswer: 478","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (1 - 5 + 3)*(-5*d**4 + 3*d**4 + 3*d**4 + (-9*d - 9*d + 23*d)*(3*d**2 - 3*d**3 - 3*d**2)) to p*d**4 + q*d**2 + c + b*d**3 + m*d and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((f\/f**(-25))\/f**(-6\/17)*f**(-19\/3)*((f\/f**(5\/8))\/f)\/f*f*f)**(-26) assuming f is positive.\nAnswer: f**(-108173\/204)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*-4*sqrt(171) - -3*sqrt(171)*4)\/(((2*(-1*sqrt(144) + sqrt(144) - sqrt(144) - sqrt(144)) + sqrt(144) - sqrt(144)) + sqrt(144))*6).\nAnswer: -sqrt(19)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 7*j - 49*j**3 - 7*j.\nAnswer: -49*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((t**(1\/4))**(1\/38))**33 assuming t is positive.\nAnswer: t**(33\/152)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -129 in -46.77, 4, 2\/5?\nAnswer: -46.77","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -49 + 48.5. Let m = 74.8 - 75. What is the biggest value in m, x, -5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.04468929 + 176093600?\nAnswer: 176093599.95531071","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is -251 greater than or equal to -64?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -20*x**3 + 0*x - 11*x**3 + 0*x - 17*x**3.\nAnswer: -48*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3*z - 155071*z**2 - 155090*z**2 - 155090*z**2 + z + 2*z + 465249*z**2.\nAnswer: -2*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -73*c + 76*c + l = -11 - 1, 24 = -2*l for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from labllbovaavllvbl. What is prob of sequence alb?\nAnswer: 9\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 48442174?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -657396*c**3*g**3 - 2*c**3*g**2 - 60*c**3 - 4493*c**2*g + 255*c*g**3 + 145 wrt g?\nAnswer: -3944376*c**3 + 1530*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 4160 is divided by 50?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 725267705 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 63\/4 + -16. Is 0 greater than or equal to j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: -9558 divided by -531\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is -11085923 - 0.1216?\nAnswer: -11085923.1216","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3 + 27 - 3*d - 5.\nAnswer: -3*d + 25","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -31*j = 7 + 72 + 14 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose d - 3 = -4, -2*d + 10 = 4*f. Let z(c) = -c + 2. Let u be z(-5). Let o be 79\/u + (-10)\/35. Solve 0 = -2*l - 3*y + o, 3*y + 3 - 9 = f*l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3298895117 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Convert -114321144 (base 6) to base 15.\nAnswer: -2cda01","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 52517?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 1772 to the power of 1\/4, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 170156 and 230926?\nAnswer: 3232964","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 1\/7, 3, 0.03, 5?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -7.95 + -0.05. Let j = h - -7. Is j smaller than 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -30*f**3*g**2 - 1325185*f**3*g*i + 156*f**2 + 112*f*g**2*i + 275*g**2 wrt f.\nAnswer: -180*g**2 - 7951110*g*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-8)\/100)\/((-1)\/40)*(-5)\/2?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand -5*d**4 + 23*d**4 - 7*d**4 - 69*d**4 - 59*d**4 + 136*d**4 + (4 - 4 - 2)*(d**4 - d**3 + d**3).\nAnswer: 17*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 27071654?\nAnswer: 2, 821, 16487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 4 in -4, 0.4, 4\/9, 22934?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let i(v) be the second derivative of 5\/2*v**2 + 1\/6*v**6 - 5\/3*v**3 - 5\/6*v**4 + 5*v - 5\/21*v**7 + v**5 + 0. Find z such that i(z) = 0.\nAnswer: -1, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 2093 divide 14318213?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Express (3*s - 5*s + 7*s)*(-4 + 2 - 3) + 0 + 0 - s + 2*s + 2*s - 5*s in the form r*s + w and give r.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is -829652.55 rounded to the nearest one million?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 25863925 and 15518355?\nAnswer: 77591775","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.64792 to three decimal places.\nAnswer: 0.648","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 76 a factor of 10826336?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 3, 6, 0.03?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5*(-5 + (sqrt(162) - (sqrt(162) + 1*sqrt(162) + sqrt(162)))*1)*4*3)**2.\nAnswer: 648000*sqrt(2) + 2422800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -1\/2, 122, -39, -2, 0.4?\nAnswer: 122","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Round -36739907.18 to the nearest 1000000.\nAnswer: -37000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -3 + (4 - 1 - (-16 - 1590\/(-100)))?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -2 + 382?\nAnswer: 380","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -17 + 22. Suppose 3*v = -2*v + 275. Calculate the highest common divisor of m and v.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -1\/8  (b) -1\/131  (c) 2\/11  (d) 2\/7  (e) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Does 1511 divide 2655683?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*o + 3*o + d - 3, -3*o + 2*d = -24. Suppose -18 = -2*v - 0. Suppose o*z - 3*z = v. Solve -n + 5*j - 2*j + 11 = 0, 0 = -z*n + 4*j + 13 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(j) = 19*j. Let a(p) = -30002*p**2. Give v(a(n)).\nAnswer: -570038*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 108 a factor of 11123?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let s(x) = 53*x**2 + x + 3. Let c be s(-1). Suppose c = 3*z + 22. What are the prime factors of z?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 10135794?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -16798, -134284, -453096, -1073872, -2097250, -3623868, -5754364?\nAnswer: -8589376","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-3430)\/714)\/(-5)*(-3 + 0) - -3.\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -9.5 and 1198.793?\nAnswer: 1208.293","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let c(d) = 2*d**3 - 149*d**2 + 78*d + 394. Is c(74) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {v: 8, d: 3}. Give prob of sequence vv.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 131, 181, 215, 227, 211?\n\"Answer: -d**3 - 2*d**2 + 63*d + 71","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Express (-4*l**2 + l**2 + 0*l**2)*(0*l + 4*l - 3*l) + (11*l - 11*l + 2*l**2)*(l + 2*l - 2*l) in the form m + a*l**3 + d*l**2 + i*l and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 50121 - 5?\nAnswer: 50119","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 200, 192, 180, 164, 144, 120, 92?\n\"Answer: -2*f**2 - 2*f + 204","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r(n) = -4*n - 28. Let b be (-520)\/78 + (2\/3 - 1). Let w be r(b). Put w, 1, 10, -2 in decreasing order.\nAnswer: 10, 1, w, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -3938 + -253?\nAnswer: -3b8b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let t(y) = -46*y. Let j(h) = -34*h**2 + 26*h. Let c(x) = -4*x**2 + 3*x. Let d(z) = 52*c(z) - 6*j(z). Determine t(d(a)).\nAnswer: 184*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -b + 71 = 4*x, 3*x - 54 = 5*b + 5. Solve 0 = -5*y + x + 2 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3*((0 + sqrt(252))**2 + 2 + 4).\nAnswer: 774","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.000542 rounded to five dps?\nAnswer: -0.00054","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*q + 4*q - 2403 = -5*g, -2400 = -5*g + 5*q. Does 37 divide (g\/(-39))\/((-2)\/6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -78*n = -97*n + 95. Suppose -4*a + 57 = z, n*z - 2*z = a + 158. Calculate the remainder when 177 is divided by z.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -27*p + 7*p + 40 = 0. What is the highest common divisor of p and 66?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -q + 2*q = 0. Let l(s) = -s**3 + s**2 + s. Let o be l(q). Suppose o = -4*h - b + 217, 27 = 4*h - 2*b - 199. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -57\/13291424 and 77\/126268528.\nAnswer: 252537056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let v be ((-87)\/(-2))\/((-1416)\/(-944)). Suppose 3*s = -5*o + 151, 2*o - 6 = -3*s + 130. Let l = -14 + s. Which is smaller: l or v?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -10578.9083 rounded to the nearest ten?\nAnswer: -10580","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 942*h = -2*q + 937*h - 47, 0 = 3*q - 3*h - 45. Factor 2\/3*o**3 + 2\/3*o + q - 8\/3*o**2.\nAnswer: 2*(o - 3)*(o - 2)*(o + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: -142.79 times -0.5\nAnswer: 71.395","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -2.5447003 + -24.6549417. Let x = 14.44 + 12.76. Let w = h + x. Round w to 5 decimal places.\nAnswer: 0.00036","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*j - 104 = -65*l + 63*l, 0 = 4*l - 4*j - 200. What is the greatest common factor of 32 and l?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 116*u = -187*u + 50*u - 2024 for u.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let z(w) = w**2 - w - 5. Calculate z(-3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Divide 79478 by 396.\nAnswer: 39739\/198","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 4.07654km in nanometers?\nAnswer: 4076540000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r(w) = -w**3 - 7*w**2 + 8*w + 8. Suppose 5*s - 467 = -507. Determine r(s).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -f**4 + 92*f**3 + 1 + 1 + 204*f - 47*f**3 - 49*f**3 to the form u*f**2 + k*f + g + x*f**3 + q*f**4 and give k.\nAnswer: 204","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2\/5 in 5, -110\/13, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 n and 3 g when four letters picked without replacement from gggngnggggnggggggngn?\nAnswer: 455\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-249)\/2*(-34)\/(-7). Let q = 606 + b. Which is smaller: 0 or q?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 858721?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 4756179?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let d be ((-6)\/(-2))\/((-7)\/3 - -2). Let u be 24\/d*(6 - 0). What is the remainder when 58 is divided by (62*1)\/(u\/(-8))?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 15e (base 15) in base 10?\nAnswer: 314","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 870, 1737, 2604, 3471, 4338, 5205?\nAnswer: 6072","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -33*j - 14*j + j + 35*j + 194*j**2.\nAnswer: 194*j**2 - 11*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 4505778601 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 9\/11264 and -53\/16896.\nAnswer: 33792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 36\/8 + (-3)\/6.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m**(-41)*m**(-2\/45))\/(m**30*m**(-12)) assuming m is positive.\nAnswer: m**(-2657\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1324*b - 811*b + 52297 = -45394 + 10156 for b.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -2 - -4. Suppose 2*x - 15 = -5*c, q*c = -5*x - 0*x - 15. Suppose c*h + 47 - 172 = 0. Does 15 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -233818, -465996, -698174, -930352, -1162530, -1394708?\n\"Answer: -232178*r - 1640","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1303*k - 2874 - 14908 = 9183 + 31670 for k.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let z(a) = a**3 + 10*a**2 - 3*a + 14. Suppose 0 = -216*w + 211*w + 160. What is the smallest common multiple of z(-10) and w?\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, -4, -70, 275 in descending order.\nAnswer: 275, -3, -4, -70","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 15 + 4. Calculate the remainder when m is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 2709 by 73949.\nAnswer: 2709\/73949","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-8)\/1*((-50995)\/(-564))\/(-217)?\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 2*s**5 - 103940*s**3 - 10*s**2 + 236?\nAnswer: 120*s**2 - 623640","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-2)\/(-6) - 20584\/(-24). Let l = i + -850. Solve 0*k = 2*k + l for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(a) be the first derivative of 0*a**3 + 0*a**2 - 9\/4*a**4 - 32*a - 23. Find the first derivative of q(i) wrt i.\nAnswer: -27*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -4 + -1 + 0 + -2 + 2\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 13 + -59 + (49 - 19)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*k**2 - 4*k - 6.\nAnswer: 2*(k - 3)*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 11*m - 9*m - 42. Let w be (-51)\/(-17) + m + (-2)\/(-2). Solve 4*v = 9*v + w for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 17  (b) -48  (c) 1\/299  (d) -5  (e) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ka when two letters picked without replacement from {a: 8, h: 1, k: 11}?\nAnswer: 22\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let m(c) = -2*c**2 - 5*c + 28. Let h be m(-5). Solve -h*k + 14 = 5*n, -2*k + 0*n + n = 8 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*a**4 + 2*a**4 + 0*a**4)*(3503 - 61 - 1014).\nAnswer: 4856*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 21*z = 5*g + 17*z - 17, -3*z = -6. Suppose 3*k - 1536 = -3*d + g*k, -6*d + 3*k + 3069 = 0. Is 30 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 3 - 3*y**2 - 3*y**2 - y**3 - 1 + (-2*y + y + 2*y)*(1 - 2*y**2 - 1) - 3*y + 3*y - y**3.\nAnswer: -4*y**3 - 6*y**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 617 minutes before 4:25 PM?\nAnswer: 6:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6945*u = -6957*u + 144 for u.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.5*-0.18688.\nAnswer: -0.09344","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((k*k**(-12))\/(k\/k**(4\/3)))**(3\/10))**(-7) assuming k is positive.\nAnswer: k**(112\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Work out -29520.861 * 2.\nAnswer: -59041.722","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 1246 + -896. Calculate the remainder when l is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -1000 + 101010010000001?\nAnswer: 101010001111001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 236906*j**4 - 32640*j**2 wrt j?\nAnswer: 5685744*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (140\/105)\/(13\/3*2)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (67 + -70)*((-6)\/12)\/((-6)\/(-148)). Solve -2*z = -4*g + 2*g - 10, -g + 5*z = u for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((2*v**2 - 4*v**2 + 3*v**2)*(4*v + v - 6*v) - 403*v**3 + 126*v**3 + 95*v**3)*(2*v + 2 - v - 4*v).\nAnswer: 549*v**4 - 366*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 11959555 a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 e, 1 o, and 1 q when four letters picked without replacement from {e: 6, q: 4, w: 1, o: 5}.\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -262140 divided by -12.\nAnswer: 21845","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -15.7 in -1\/7, -5, -290\/7, 0.5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let d(x) be the second derivative of 31*x**3\/3 + 30*x**2 + 2*x - 14. What is the tens digit of d(6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -1307 or -1304?\nAnswer: -1304","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*n + 25 = -35. What is the highest common factor of n and 30?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 920025542?\nAnswer: 2, 809, 568619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 118 and 3257.\nAnswer: 384326","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is -33.11396851 rounded to 3 dps?\nAnswer: -33.114","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -32\/92565 and -62\/30855.\nAnswer: 92565","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -1095393*a**3 - 2*a**2 + 4*a + 66186 wrt a.\nAnswer: -6572358","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 20 a factor of 1527?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -5.0192 - -0.0192. What is the third smallest value in 1\/5, -1\/4, v, 0.32?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 21461?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange j**2 - 3*j**2 + 3*j**2 + 8*j**2 to the form f*j + w + n*j**2 and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 35172620 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -27 + 27. Solve k = -2*m - 4 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 25, 47, 65, 79, 89, 95?\n\"Answer: -2*k**2 + 28*k - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-3 + sqrt(208) + sqrt(208))*-1 - sqrt(117)\/(5*sqrt(324) + sqrt(9)))**2.\nAnswer: -1494*sqrt(13)\/31 + 814662\/961","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 5 + 204?\nAnswer: 210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 87942 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is -20862 less than -333?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (44\/1078)\/((-3)\/7)?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2163.281603 rounded to 1 dp?\nAnswer: 2163.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -579 + 994. Let n = u + 1416. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2112341 (base 5) in base 7?\nAnswer: 205023","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 318, 317, 316?\n\"Answer: -a + 319","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 36 a factor of 1254632?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from aaaddadxasxxaadsaxsa. What is prob of sequence ax?\nAnswer: 9\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.01, -3, 3\/4, 2\/5 in decreasing order.\nAnswer: 3\/4, 2\/5, 0.01, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let u(m) = -8*m + 36. Let i be u(2). Let q(j) = 2*j**2 - 33*j + 25. Let b be q(i). Is b greater than or equal to 165?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -6 divided by -41584.\nAnswer: 3\/20792","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Does 2 divide 390903?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -13 + 18. Let v = -1 + m. Suppose v*k - 8*k = -44. What is the remainder when 20 is divided by k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (16*(-2)\/12)\/((-4)\/6). Suppose 0*s - 4*t = -s + 8, 0 = 5*s - y*t - 56. What is the least common multiple of s and 27?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 741*h**4 - 5*h**3 + 61*h**2 - 2340651 wrt h.\nAnswer: 2964*h**3 - 15*h**2 + 122*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -9 - (5 + -3 + 0 + -6)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.4 times -0.047?\nAnswer: 0.0188","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -292 + -22721?\nAnswer: -23013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-15 - -8 - -2 - -10) + -3 + 9.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -2ca + 24?\nAnswer: -2a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let q(j) = -14542*j - 3. Let w(r) = r. What is q(w(v))?\nAnswer: -14542*v - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 2347.7 + -2347. What is the closest to 0 in y, -5, 0.2, -4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 84 + -77. Which is the biggest value?  (a) w  (b) -1  (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(y) be the first derivative of -5*y**5\/4 - 5*y**4 - 7*y**3\/2 - y**2 - 2*y + 4. Let u(p) be the first derivative of r(p). Find d such that u(d) = 0.\nAnswer: -2, -1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(v) = 159*v**2 - v + 1. Let a be j(1). Is a\/2 - 4\/8 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many meters are there in 1\/5 of a kilometer?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*i + 3*a + 354 - 10 = 0, -4*i = 5*a + 270. What is the hundreds digit of ((-12)\/45*-654)\/((-28)\/i)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of (-630 + 544)*(17\/(-2) + 0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 5199110 is divided by 19?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -14 + 18 + -6 + -7.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 62 + -52. Suppose 3*x = -4*z, -5*z = 2*x - 2*z. Suppose -2*a = o + 1, 2*o + x*o - 2*a = u. Put o, -2, -4 in increasing order.\nAnswer: -4, -2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(11) + (-3*sqrt(22)\/sqrt(2))**2 + sqrt(11) - (sqrt(88)*-2)\/sqrt(8)) + -3 - (-4*sqrt(539)*-2 + (sqrt(539) + 0 + 0)**2).\nAnswer: -443 - 52*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.210279 litres to millilitres.\nAnswer: 210.279","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 2.2 - 2. Let c be (-1*2)\/(-1) + 240\/(-168). Let r = 2\/31 - -56\/93. What is the biggest value in c, r, s?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 353564 is divided by 2586.\nAnswer: 1868","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -1\/104 - -223\/1560. Let o(n) be the first derivative of 2\/5*n + i*n**3 - 2 - 2\/5*n**2. Factor o(h).\nAnswer: 2*(h - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2922 = k - o - 3613, -2*o = -3*k + 19599. Does 28 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((d\/(d\/((d*d**(-1\/2))\/d))*d)**(3\/7))**37 assuming d is positive.\nAnswer: d**(111\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 7037304969 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -2 - -5. Let r = -23 - -35. What is the highest common factor of r and o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*v - 4*v + 4 = 0. Let t(q) = 0*q - q**3 + 4*q**v - q - 2 - q. Give t(3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(y) = y**3 - y**2 + y + 1. Let j(a) = -57*a**3 - 4*a**2 + 5*a + 22. Let c(u) = -j(u) + 6*k(u). What is the second derivative of c(h) wrt h?\nAnswer: 378*h - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 15 divide 270?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -n + 4*p - 6 - 2, -p - 3 = n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 17 + -39. Calculate the lowest common multiple of -3*(o\/6 + 1) and 6.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 11 and 120164.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 14*r**3 - 27*r**3 + 16*r**3.\nAnswer: 3*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:03 AM and 6:11 PM?\nAnswer: 428","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.1 in 0.0473, 0, -1065, -2\/7, -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 11645\/79186*36\/(-15).\nAnswer: -6\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f(z) = -7329*z**3 + 6*z**2 - 12*z - 3. Let a be f(9). Let n = -15042466 - a. What is n rounded to the nearest 1000000?\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 8037022 divided by 67538?\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let j(u) = -u**3 - 6*u**2 + 7. Let g be j(-6). Solve 24 = -5*o - g*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 400651 a multiple of 56?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: (270\/14220*1*6)\/(378\/84)\nAnswer: 2\/79","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 106*-916.44.\nAnswer: -97142.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 6007303 a multiple of 1092?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*g = -g + 12. Suppose 4*m - 3*t + 2 - 24 = 0, -g*t = m + 2. Solve -2*r - 2 = -m*d + 2, -5*d + 6 = -3*r for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose u - 4*b + 6 = 22, 4*u + 4*b = -16. Suppose u*n = -3*n - 3, p + 3*n = -1. Factor -2*j**3 + j**3 + 3*j + j**2 - j**4 - p*j.\nAnswer: -j*(j - 1)*(j + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 104*k - 104*k + 145*k**3.\nAnswer: 145*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:59 PM and 2:24 AM?\nAnswer: 685","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 0.008 and 2811808855627?\nAnswer: 2811808855626.992","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in 6\/11, -3, 1, -1, -2, 0.4, 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 28, 24, 16, 4, -12, -32?\n\"Answer: -2*i**2 + 2*i + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u be -129 + ((-4)\/1)\/(-4). Let o = u - -142. What is the greatest common factor of o and 126?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 769, 761, 753?\n\"Answer: -8*s + 777","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d(l) = -l**3 + 7*l**2 + l + 7. Let r be d(7). Let a be (r\/(-3))\/((-1)\/6). Let n be 13\/2 - 2\/4. Solve a = 4*y - 2*p + n, -y + 1 = 4*p for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express b**2 + 5*b**2 - 4*b**2 + 4*b**2 - 9*b**2 - 8*b**2 + (-1 + b + 1)*(-1 + 1 - b) + (3*b - 6*b + 7*b)*(-b - 3*b + 3*b) as i + y*b + c*b**2 and give c.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 987360 to the nearest integer?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12 = -w + 5*w. Suppose 5*c - 18 = -v - 0*c, -w*c + 9 = 0. List the prime factors of v.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 17077 + -11976. Let k = 7434 - a. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 81*y + 23767 = 140731. What are the prime factors of y?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: -52320055 (base 7) to base 16\nAnswer: -4343d4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 473 - 475. Which is the third biggest value?  (a) g  (b) -6\/11  (c) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12*r - 7*r = 40. Suppose 10*d = r*d. Suppose d = -5*u + 3*z + 5204, 786 = u - 4*z - 265. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 28*n - 31 = 81 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 0.63972892 or -0.2?\nAnswer: 0.63972892","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let k(q) = -28*q. Let s be k(-4). Suppose 2*r + 5 - 37 = 0. What is the highest common divisor of s and r?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 678?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-9)\/(-3)*(-14)\/(-6). Let r(z) = -28 + 7*z - z**3 + 7 + 10 + m*z**2 + 12. Calculate r(8).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(s) = -5*s + 300. Determine f(48).\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 136763 and 33.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence siw when three letters picked without replacement from {i: 1, a: 3, h: 1, s: 2, e: 3, w: 2}.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 117121 and 519?\nAnswer: 351363","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (3 - 9) + -4 + 9.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -992, -1242, -1830, -2894, -4572, -7002, -10322?\n\"Answer: -23*v**3 - 31*v**2 + 4*v - 942","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((l*l*l*l*l**9*l*l*l*l)\/(l*l*l**(-1\/7)\/l*l))\/(((l**(-14)*l*l*l)\/l)\/l**(2\/3)) assuming l is positive.\nAnswer: l**(584\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*m + j = -0*m + 43, -4*m = -5*j - 93. Let p = m - 16. Suppose -p = 5*i - 7*i. Sort i, 4, 5 in decreasing order.\nAnswer: 5, 4, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-11 - -12)\/(2 + (-9)\/5). Solve -p + b*l = 19, 0*l - 5*l = 5*p + 5 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 44910*g**4 + 111*g**2 + 81815876*g wrt g?\nAnswer: 538920*g**2 + 222","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -108, -108, -114, -132, -168, -228, -318, -444?\nAnswer: -612","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in 5\/6 of a week?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*d + 835 = 5*q, 4*q - 8*d - 673 = -3*d. List the prime factors of q.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(t) = -1 - 3*t + 7*t**2 + 4*t - 9*t**2 + 3*t**2. Give u(-1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -13 + 17. Put k, -5, -2 in decreasing order.\nAnswer: k, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 116700.8cm to millimeters.\nAnswer: 1167008","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -2 - 18af0bf?\nAnswer: -18af0c1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 164063625 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.272 and -412.42.\nAnswer: 112.17824","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 141 a factor of 9239?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is -8603 rounded to the nearest one thousand?\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-8*j**2 - 9*j**2 - 6*j**2 + 5*j**2)*(-2057 - 1790*j + 2057).\nAnswer: 32220*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -103, -118, -133, -148, -163?\n\"Answer: -15*r - 88","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*x - 10, 2*p - 4288 = 38*x - 35*x. Let d = p + -240. List the prime factors of d.\nAnswer: 1907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(g) = 9*g - 6. Suppose -10*u + 19 = 3*k - 5*u, 5*k - 5*u = 5. Let m(r) = 5*r - 3. Determine k*i(w) - 5*m(w).\nAnswer: 2*w - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let x(h) = 7*h + 4. Let w be x(0). Suppose 2*y + 10 = 2*c + 2, 3*y = w*c - 15. Solve c*n = -3*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -0.793 + -0.207. Which is the second biggest value?  (a) 0  (b) -5  (c) v  (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(j) = 3*j**2 - 13*j - 31. Let u be v(6). What is the hundreds digit of 102 + 11 - (u - 5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 21.600114 - 21.6. What is w rounded to four dps?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-2)\/9 + 0 - (-80 - 4700\/(-60))?\nAnswer: 13\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -4 - (-7 + 1 + 1 - 0) - 6?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 195 = -13*p + 5*p - 7*p for p.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 1437\/652 at most 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 66504974.\nAnswer: 2, 33252487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 10 + (54\/(-6))\/1. Let y be (6 + (-4)\/1)\/11. What is the nearest to p in 1, -2\/25, 2, y?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(65) + (sqrt(65) - sqrt(65)*-2 - sqrt(65))*6 + (sqrt(65) + ((sqrt(65)*-2 - sqrt(65)) + sqrt(65))*-6 - sqrt(65)))\/(2*-4*-2*sqrt(720)).\nAnswer: 25*sqrt(13)\/192","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 3*p**3 + 105*p**2 + 182*p wrt p?\nAnswer: 18*p + 210","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 30170*x**2 - 20140*x**2 + 148197*x**2.\nAnswer: 158227*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: -11111124 (base 5) to base 8\nAnswer: -276600","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -0.02864 - 0.14131. Let u = r - -0.17. What is u rounded to 5 dps?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of (-375 + -1)*(-29)\/58?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(m) = 3*m + 17. Let i(q) = 2*q + 12. Let n(x) = 5*c(x) - 7*i(x). Let g = -8 - -5. Calculate n(g).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-203)\/(-2088) + (261\/(-216) - (-4)\/3).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (7*d - d + 3*d)*(-d**3 + 4*d**3 - d**3) to n*d**4 + y*d**2 + l + a*d + f*d**3 and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let j(w) be the first derivative of 7\/60*w**5 + w**3 - 3 + 0*w**4 + 0*w + 5\/2*w**2. Let b(t) be the second derivative of j(t). Differentiate b(y) wrt y.\nAnswer: 14*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -3*q + q**2 + 6*q**3 - 3*q**3 - 2*q**3 + 0*q**2 to the form d + m*q**2 + h*q + z*q**3 and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -15.18  (b) 3  (c) 8  (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 divided by 1058?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {q: 9, m: 9}. What is prob of picking 2 m and 1 q?\nAnswer: 27\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -2456148, -4912312, -7368476, -9824640, -12280804?\nAnswer: -14736968","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u(l) = -l**2 + 2*l. Let d be u(2). Suppose 2*j - 7 - 11 = d. What is the greatest common factor of 18 and j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -14522*h**3 + 2436*h**2 - 19664320*h wrt h.\nAnswer: -87132*h + 4872","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in one fifth of a microgram?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 138.85  (b) 4  (c) -2  (d) 0  (e) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 63373052?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {w: 9, l: 9}. What is prob of picking 1 l and 3 w?\nAnswer: 21\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Factor i**3 + 7*i**2 + 10*i.\nAnswer: i*(i + 2)*(i + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 7\/3 or -1659476?\nAnswer: -1659476","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from oioiiiooioooooooooo. Give prob of sequence oiio.\nAnswer: 455\/11628","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Sort 7.3, 17, 5, 2 in increasing order.\nAnswer: 2, 5, 7.3, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 49 - 11 = 43*q - 48 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 11530806 to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 181*t - 184*t + 29 = -4*c, -t - 8 = -3 for c.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let s(z) = -5*z. Let n(o) = 4*o - 1. Let i = 0 - 2. Let a(c) = i*s(c) - 3*n(c). What is the first derivative of a(h) wrt h?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(q) = -4833*q**2 + 58 + q**3 + 14494*q**2 - 4828*q**2 - 4835*q**2 - q. Determine t(0).\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -82, -157, -230, -301, -370, -437, -502?\n\"Answer: b**2 - 78*b - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 3045086?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Express (n - 2 + 2 + (0 + 0 + 5)*(33163*n - 16569*n - 16571*n))*(5 - 5 - n) in the form a*n + q*n**2 + o and give q.\nAnswer: -116","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -443 - -787. Let r = 250 - 247. Let h be 3 + ((-7)\/(-4) - r)*-32. Calculate the greatest common factor of h and y.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 29806481 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 2 a factor of 324?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -60*m + 62 + 58 = 0. Suppose -m*x - 2*i - 2 = 0, 58 = 2*x + i + 59. Factor -3\/4*v**3 + 0*v**2 + 3\/4*v**4 + x*v + 0.\nAnswer: 3*v**3*(v - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 360851745156 - 360849945803.89843. Let p = r + -1799382. Let b = p - -29.9. What is b rounded to four dps?\nAnswer: 0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be ((-2)\/14)\/((-10)\/35). Which is the third smallest value?  (a) -1  (b) 1\/6  (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 46, -3226, -6498, -9770, -13042?\nAnswer: -16314","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -297 + 299. Suppose 22 = 2*j + 3*r, -w*j - 4*r + 11 = -13. Solve -v - 13 = -j for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 40 = 4*r + 4*f, -r = 2*r - 2*f - 5. Suppose -20 = -r*h + 280. Let v be (-2 + 8\/5)*-100. What is the highest common factor of h and v?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(q) = 2*q. Suppose -87 + 83 = -y. Let v(p) be the third derivative of 0*p**3 + 1\/8*p**y + 0*p - p**2 + 0. Determine v(z(g)).\nAnswer: 6*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1759160.\nAnswer: 2, 5, 13, 17, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 82650, 82654, 82658, 82662, 82666, 82670?\nAnswer: 82674","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:27 AM and 11:31 AM?\nAnswer: 124","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"}
{"text":"Question: Let r = -195 - -195.4. Which is the fourth biggest value?  (a) -1  (b) -8  (c) 3  (d) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -29 - (-9 - -4) - -24?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x**(-5)*x)\/x**20 assuming x is positive.\nAnswer: x**(-24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 1.3300635 rounded to 0 dps?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 12*h + 9*h - 105 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Express -3*g**4 - 2*g**4 + g**4 + 2*g - 2*g**3 + 4*g**2 + 13*g**4 - 1 + 7*g**4 as b*g + n + v*g**4 + y*g**2 + p*g**3 and give y.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let j be ((-1)\/2)\/((-1)\/10). Let s = -5 + -3. Let p(b) = -b**2 - 11*b - 9. Let t be p(s). What is the highest common divisor of j and t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*(sqrt(425) + 0) + 5)**2.\nAnswer: 50*sqrt(17) + 450","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -595*a**3*u**3 + 7*a**3*u + 2*a*u**3 + 2*a*u - 3*a + 17 wrt u?\nAnswer: -3570*a**3*u + 12*a*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 2748, -0.2, 3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 77\/228 and -73\/68115.\nAnswer: 272460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Determine z so that 49298*z**4 + 1697232172*z**3 + 14608093519994*z**2 + 186090156744*z + 592643592 = 0.\nAnswer: -17214, -1\/157","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 46 a factor of 685305407?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -s - 5*u = 12, 6*s - 28 = 4*s + 3*u. Suppose -s - 44 = -4*g. Is 3 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(z) = -226*z**2. Let k(r) = 95*r. Calculate k(m(c)).\nAnswer: -21470*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let w(d) = -15*d + 206. Give w(13).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 253 minutes before 5:34 PM?\nAnswer: 1:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 566524.\nAnswer: 2, 7, 20233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 16522961489 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 1680240 and 800?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 191287593.\nAnswer: 3, 7, 229, 13259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -2 - -4. Suppose p*j = j + 2. Suppose 0 = 4*c + 5*x - 43, 5*c = -j*x - 20 + 61. What are the prime factors of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ssssssshsyyyssssyssy. What is prob of sequence ys?\nAnswer: 7\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 744952 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let t(q) be the second derivative of -19*q**7\/42 - q**4\/3 - 20*q. What is the third derivative of t(s) wrt s?\nAnswer: -1140*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(j) = j**2 + 3*j. Suppose -3*o + 0*w = w - 11, -5*o - 10 = -4*w. Suppose 3*z = 5*z + 3*k - 3, o = 3*z + 5*k. What are the prime factors of x(z)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1.4*544.2\nAnswer: -761.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 2610*c**2 - 156 + 156 + 1915*c**5 - 210*c**5 wrt c?\nAnswer: 102300*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -62*i**2*p**3 - 2*i**2*p + 2*i**2 - 2*i*p + 2*i + 428*p**3 + 2*p wrt i.\nAnswer: -124*p**3 - 4*p + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-1*(sqrt(176) + 2*sqrt(176)))\/((sqrt(11) - (-2*sqrt(11) + sqrt(11)))*-3))\/(sqrt(320)\/sqrt(90) + 2*sqrt(32)*-2).\nAnswer: -3*sqrt(2)\/44","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: -391.4 + -513296422\nAnswer: -513296813.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 54 is divided by (-2)\/13 - 2576\/(-182)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*x - 40 = 6*b - 2*b, -x + 2*b = 8. Calculate the remainder when (-4)\/14 + (-32)\/x is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(l) = -l**3 - l**2 - 3*l - 5. Let n be h(-2). Solve n*s = s - 4 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 25879, 103530, 232955, 414154, 647127, 931874?\nAnswer: 1268395","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k be ((-6)\/(-9))\/((-4)\/(-42)). Suppose f - k = 3. Solve 3*a - x - f = -0*x, -3*x = 3 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.2 in -0.04, -0.3, 17, -0.06?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -1978, -3961, -5950, -7945?\nAnswer: -9946","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Divide -165075 by 165075.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 1252516 (base 7) in base 15?\nAnswer: 339c7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1\/19?  (a) 0.5  (b) 0  (c) 20\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (50*f - 29*f - 34*f)*((f - f + 2*f**2)*(2 + 1 - 4) + 4*f + f**2 - 4*f).\nAnswer: 13*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5*(((sqrt(2176) + 3*sqrt(2176) - sqrt(34))\/sqrt(2)*2)**2 + 2) + 4.\nAnswer: -326746","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 3444 and 22.\nAnswer: 37884","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*w - 3*w = 4*b - 140, -5*b = w - 175. Is b - 4\/6*-3 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -2  (b) -1\/3  (c) -167  (d) 1  (e) 0.23  (f) 10.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*v = -4*t + 6, 39048 - 39054 = -t + 3*v for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (312*l + 119*l**2 - 312*l)*(-l**3 - 19*l + 19*l) - l**4 + 3*l**4 - 5*l**5 + 4*l**5.\nAnswer: -120*l**5 + 2*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 179440 and 392?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let q(m) = -m**2 - m + 1. Let w(x) = 3*x**2 + 16*x - 11. Let d(r) = -2*r**2 - 8*r + 5. Let c(k) = -5*d(k) - 2*w(k). Let h(i) = -c(i) - 3*q(i). What is h(-4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -10\/1443 at least as big as -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 3594 and 54?\nAnswer: 32346","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let p(g) = g + 24. Let o be p(-26). Let b(t) = -4*t**2 + 3*t + 1. What is b(o)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -c - 3 - 3*c - 6 - 8910*c**2 + 8.\nAnswer: -8910*c**2 - 4*c - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -193676 + 300640. Let r = k + -106963.829954. Let j = 0.17 - r. What is j rounded to 5 dps?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 316 a factor of 865840?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 60 is divided by 13?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 2547621293 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1422303 (base 6) to base 9.\nAnswer: -132863","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((p*p\/(p**(-1\/2)*p))\/(p\/(((p\/(p*p**(4\/5)\/p*p))\/p)\/p)))\/(p**(3\/5))**(-1\/90))**43 assuming p is positive.\nAnswer: p**(-7396\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*q**4 + 40*q**3 - 95*q**2 + 60*q.\nAnswer: -5*q*(q - 4)*(q - 3)*(q - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let n(y) be the first derivative of -3\/8*y**4 - 3\/10*y**5 + 6 - 1\/12*y**6 + 0*y**2 + 0*y - 1\/6*y**3. Factor n(a).\nAnswer: -a**2*(a + 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -333?  (a) 3  (b) -0.1  (c) 5  (d) 11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -1 + 12. Suppose 7*d - 16 = 19. Calculate the least common multiple of d and b.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(m) = 11*m**3 - 2*m**2 + 2*m - 1. Let t be w(1). Find the third derivative of -t*x**6 + 739*x**4 + 17*x**2 - 739*x**4 wrt x.\nAnswer: -1200*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2562\/5978*(-2)\/(-6).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: (-2)\/34*(-5328)\/(-13320)\nAnswer: -2\/85","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 2.3040639 hours in days?\nAnswer: 0.0960026625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -188.3?  (a) 6\/119  (b) -3\/2  (c) 0  (d) 4  (e) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -104*i + 101*i + 2*p = -17, 4*p = 5*i - 27. Suppose 3*x - 56 = 2*r, 0*x + 4*x = -4*r + 68. Let o = -9 + x. What is the least common multiple of i and o?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -14*c + 45 = -5*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*y**4 - 27093*y**3 + 1754613*y**2 + 76160613*y + 74378910 = 0 for y.\nAnswer: -9095, -29, -1, 94","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many centimeters are there in 208.2063 kilometers?\nAnswer: 20820630","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert 10202 (base 3) to base 9.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from fffjffffjffffjfffffj. Give prob of picking 3 j.\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (-3355185)\/(-54) + -9*(-4)\/(-648)?\nAnswer: 3, 139, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:57 AM and 6:25 AM?\nAnswer: 148","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let 3*u**3 - 1197*u**2 + 2373*u + 3573 = 0. Calculate u.\nAnswer: -1, 3, 397","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 137\/54 and (-386)\/(-72) - 147\/(-42)*-2?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 1208750218?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r*r**10*((r\/r**(-4\/9))\/r)\/r)**21 assuming r is positive.\nAnswer: r**(658\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -20.437 + 18.8283. Let j = 1.61 + q. Round j to 4 decimal places.\nAnswer: 0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 3 - 2*g**2 + 760*g**4 - 762*g**4 + g**3 - 6*g**3 in the form f*g + s*g**2 + i + u*g**3 + m*g**4 and give u.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*a - 1 - 7 = 0. Suppose -4*s = -2*g - s + 16, -a*g - s = -8. Let -4*c**5 - c**3 + c**2 + 2*c**3 + 3*c**g - c**4 = 0. Calculate c.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -129.4 + 129. Which is the smallest value?  (a) 6  (b) 2  (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 1.0266312 to 4 dps.\nAnswer: 1.0266","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Determine s, given that -16*s**5\/11 - 2426*s**4\/11 - 3824*s**3\/11 + 11504*s**2\/11 + 15552*s\/11 - 7200\/11 = 0.\nAnswer: -150, -2, 3\/8, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let g(r) = -4*r + 50. What is g(18)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let v(a) = -9*a - 5. Let i(q) = -9*q**2 + 3*q - 1. Let z be i(2). Let w = z - -29. Calculate the remainder when v(w) is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(m) = -10*m. Let n = -362 - -362. Let a(t) be the second derivative of -21*t + n + 0*t**2 + 1\/3*t**3. Determine a(d(i)).\nAnswer: -20*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 12153 or 12152?\nAnswer: 12153","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 102 = 123*j + 840. Suppose 0 = o - 2*o - 2. Let t be (o\/4)\/((-2)\/4). Sort t, j, -2.\nAnswer: j, -2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(i) = i**3 - 31*i**2 + 27*i + 75. Let g be h(30). Let n(x) = -x**3 - 15*x**2 - 9*x + 10. Let o be n(g). What is the greatest common factor of 29 and o?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: 928 divided by 658\nAnswer: 464\/329","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 6 from -0.0749.\nAnswer: -6.0749","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let 3*k**4\/8 - 26157*k**3\/8 + 130719*k**2\/8 - 78399*k\/8 - 117639\/4 = 0. What is k?\nAnswer: -1, 3, 8714","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 33 + -22. What is the highest common divisor of 44 and f?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 380 and 191790?\nAnswer: 7288020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -q - 64 = -4*q + 5*s, 2*s - 2 = 0. Differentiate 20*y**2 + 7 - 20*y**2 + 2*y**3 - q with respect to y.\nAnswer: 6*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-1)\/7)\/(60\/18 + -3)?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in fifteen quarters of a meter?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -3907486, -3907491, -3907498, -3907507, -3907518?\n\"Answer: -s**2 - 2*s - 3907483","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -704, -817, -930, -1043, -1156, -1269?\n\"Answer: -113*x - 591","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: -2117363 divided by -1763\nAnswer: 1201","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-6 + 0)*(-17)\/(12 - -56).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 33 and (-4)\/6 + (-390)\/(-18)?\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 c when three letters picked without replacement from {d: 1, g: 2, p: 1, c: 4}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let j(c) = 5. Let g(z) = z + 4. Let p(f) = -5*g(f) + 4*j(f). Suppose 0 = 3*w - 3. Calculate p(w).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -1710668 - -4020069919\/2350. Let b = 1\/94 - h. Which is smaller: b or 1?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 223 minutes after 8:06 AM?\nAnswer: 11:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0025604309 to four dps.\nAnswer: 0.0026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 23\/70 - -1\/14. Let o be 22*(462\/12)\/11. Let g = 73 - o. Which is the third biggest value?  (a) -2  (b) g  (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 5.32747 to two decimal places.\nAnswer: 5.33","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -14*c + 110 = -14*c - 11*l, 5*c = 36*l + 350 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2170 is divided by 120.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 842*a - 63 - 27 = 824*a. Put 0, -2, -4, -5, a in ascending order.\nAnswer: -5, -4, -2, 0, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1614*g - 2275*g - 3344*g.\nAnswer: -4005*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7242 = -6*u - 136*u. Calculate the remainder when 644 is divided by u.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*l = -8*r + 3*r - 25, 0 = -r + 4*l. Let t = r - -4. What is the tens digit of (t + 8)*(-15)\/(-12)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 10 divided by -327.\nAnswer: -10\/327","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -5ccbc4 + -29?\nAnswer: -5ccc20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3 = 4*x - m - 1, 0 = m + 2. Let u = 0.1 + -0.3. What is the nearest to x in u, 2\/7, -0.1?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3 = -4*b + 11. Let o(u) = 0*u**3 + u + 0*u**b - u**3 + 2*u**2. Let w be (-3 + 22\/2)*2\/8. Give o(w).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.4767642mg to micrograms.\nAnswer: 476.7642","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -85364 divided by 2.\nAnswer: -42682","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-5*h + 3*h + 4*h)*(0*h + 3*h + 3*h) + (-h**2 - 4 + 4)*(-2 + 0 + 1))*(14 - 42 + 0)*(21 - 21 + 2*h).\nAnswer: -728*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from idgngwyw. Give prob of sequence gd.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -34130, -68272, -102414, -136556, -170698?\n\"Answer: -34142*n + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -3289692*l*v - 39*l - 2335188*v - 10 wrt l.\nAnswer: -3289692*v - 39","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 17236 - 4056 = -4*d. Let c = 5833 + d. Suppose 5*f = -3*t - 2*t + 3165, -4*f = t - c. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (3*5)\/(15\/5). Let q be (8 - o - 11)*39\/(-12). Solve -8*n = 2 - q for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -0.1 or 8\/3429?\nAnswer: 8\/3429","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*g - 7 = 9. Solve -3*o = g*n - 20, 4 = 2*o - 4*n + 24 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -10010 (base 2) to base 14\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sum -0.2008 and -4.\nAnswer: -4.2008","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(132)\/(sqrt(12) - 2*sqrt(588)) + -3 + -5 + (sqrt(11)*-1*-5 - (sqrt(1100) - sqrt(11))).\nAnswer: -53*sqrt(11)\/13 - 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 19\/5 and ((-37)\/(-25))\/(8\/60).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(q) = -3291*q - 210615. Determine b(-64).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(144)\/(sqrt(8) + sqrt(88)\/(sqrt(22)\/sqrt(2))) + 3 + 5)**2.\nAnswer: 24*sqrt(2) + 137\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 404*l**2 - 404*l**2 + 5*l**3.\nAnswer: 5*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -m + 8 - 3 = 0. Suppose m*l - 10 = -4*t, 0*t + 3*t + 10 = 5*l. Let d be (-18)\/(-8)*(-5)\/10. Which is smaller: d or t?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1\/4?  (a) -2\/7  (b) 4  (c) 39\/7  (d) -2\/17\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 242 and 3025?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (534\/1869*14\/(-12))\/(-1*(-3)\/(-4)).\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q(i) = -2*i**3 - 3*i + 40. Is 20 a factor of q(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 + 2 - 2*x)*((3*x - 2*x - 2*x)*(3*x + x - 2*x) + 5*x - 5*x - 7*x**2).\nAnswer: 18*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-6 - 20 + 49)*(-6*l + 26*l + 12*l).\nAnswer: 736*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*r = -20 - 20. Let x(z) = 2*z**2 + 4. Let d(l) = l**2 - l + 5. Let q(b) = 3*d(b) - 2*x(b). Determine q(r).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1109318?\nAnswer: 2, 7, 17, 59, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is (-3066888)\/(-176)*2\/3 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (10\/(-8))\/(6\/(-1056))*(-116)\/(-16). What is the highest common divisor of 29 and n?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -216*w = -245*w - 5162000. Round w to the nearest one thousand.\nAnswer: -178000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 18\/17 - 73\/85. Put s, 4, -2\/9 in ascending order.\nAnswer: -2\/9, s, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:09 PM and 8:05 PM?\nAnswer: 236","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-27 - -6) + -112 + 133.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 559 minutes before 10:18 PM?\nAnswer: 12:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 1157199067 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 5240 to the power of 1\/2, to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*c - 400 = 5*c. Is 20 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(n) = -n. Let s(o) = -323*o + 2. Let x(a) = 6*g(a) - s(a). Is x(3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -16630453 divided by -19?\nAnswer: 875287","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 29 + -24 + ((-770)\/(-7))\/(2\/85).\nAnswer: 2, 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 65281 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 10*w - 8*w - 430. Calculate the remainder when w is divided by 54.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: 910 divided by 91\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -11, -52, -121, -218?\n\"Answer: -14*i**2 + i + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c**(1\/16)*c)**48 assuming c is positive.\nAnswer: c**51","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:16 AM and 9:38 AM?\nAnswer: 142","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -33 in 1\/11, -2\/25, 5?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2115\/(-4653) + 269\/11 + 8.\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be ((-80)\/50)\/(4\/130). Let k = 62 + n. What is the remainder when (-148)\/(-3) - (-8)\/(-6) is divided by k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0 in 2\/33, 5, 232.2, 31, 3\/2, -0.2?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 997\/5?  (a) -1  (b) -0.5  (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 32684288881 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Round -996.99 to the nearest one hundred.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let u(h) = -5*h**2 + 4*h - 2. Let j be u(2). Let q be (1\/j)\/(12\/(-72)). Put q, -4, -1\/4 in decreasing order.\nAnswer: q, -1\/4, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {s: 1, a: 1, h: 12}. What is prob of picking 2 h?\nAnswer: 66\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let y(x) = -x**3 + 8*x**2 + 3*x + 1. Let h be y(8). Let o be (-9)\/(-15) + 35\/h. Determine i so that i**o + 1\/3*i**4 - i**3 - 1\/3*i + 0 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1868 times -15\nAnswer: 28020","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -65 - -69. Suppose 3*l + 2 = -l + 3*d, -l - 3*d = -7. Calculate the highest common factor of g and l.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 0 - 1 - (-68 - -22). Suppose -4*c + 5 = -3*p, -2*c - 2*c = 5*p - m. Suppose -c*a - 182 = -7*a. What is the remainder when a is divided by 23?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.88717985 to three decimal places.\nAnswer: 0.887","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*n + 4*a - 11 = -3, -5*n = 5*a - 10. Solve -8*t = -n*t + 32 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 22 - 12. Let d(b) = 2*b**2 - 10*b + 17. Let i be d(4). Let f = i + z. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 l and 1 j when two letters picked without replacement from jjjljllj.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let p(z) = 518*z - 12953. Calculate p(25).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 6981943?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -5, -58655, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let j(t) = 1. Let a(c) = 6. Let p(z) = -a(z) + 5*j(z). Let u(f) = -f - 1. What is -6*p(n) + 6*u(n)?\nAnswer: -6*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 37414?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 s, 1 j, and 1 h when three letters picked without replacement from jljhhssshasssahhhjs.\nAnswer: 42\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -11356457 divided by -6.\nAnswer: 11356457\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 7 and 749?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0910137504 to 5 dps.\nAnswer: -0.09101","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let d(f) = 17*f**3 + 5*f**2 + 4*f + 6. Determine d(-3).\nAnswer: -420","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 3367, 13628, 30779, 54820, 85751, 123572, 168283?\n\"Answer: 3445*r**2 - 74*r - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y(s) = -s + 3. Give y(6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 11513369 a multiple of 119?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 0\/(4 + (-6)\/2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 2\/9, -0.09, -2.5?\nAnswer: -2.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 37*x + 6*x = -387 for x.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 b and 2 a when four letters picked without replacement from {b: 5, s: 3, p: 6, a: 3}?\nAnswer: 3\/238","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -18, -33, -48?\n\"Answer: -15*y - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4*(5 + ((sqrt(108) + 0 + 3 - sqrt(108)) + sqrt(108) + sqrt(108) + (sqrt(108) + 1)*2 + sqrt(108))**2 + 2)*-6.\nAnswer: 7200*sqrt(3) + 65568","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*j + 2*j + r = -3330159, -3*r = -2*j + 1665087. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(m) = 1907*m**2 + 12*m + 56. Is q(-3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 2 + aa?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 8484514453 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose u + 2*u - 21 = 0. Which is greater: u or 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 28403 to the power of 1\/3, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5*(sqrt(13) + (sqrt(156) + -2*sqrt(156))\/sqrt(12)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 3\/14095  (b) 1\/7  (c) -0.62\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let q(v) = -7*v**3 - 3*v**2 + 2. Let c be q(-1). Suppose 119*u + c = 121*u. Sort u, 0, -8, 2 in descending order.\nAnswer: u, 2, 0, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 242, 226, 202, 170, 130?\nAnswer: 82","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -s = a + 4*s + 10, 4*a = -2*s - 4. Suppose -4*i + 6*i = a. Let 1\/4*y**4 + 0*y + 0*y**3 + 0*y**2 + i = 0. What is y?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*c + 2256 = 6*c. Suppose 0 = -2*f - 6 + c. Does 23 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(b) = -b**2 - 20*b - 16. Let m be p(-19). Let v(k) = 14*k - 8. Let z(h) = -h + 1. Let f(j) = v(j) + 5*z(j). List the prime factors of f(m).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -3 - (20 + -36) - 11?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 1301 + -1206. Solve 90*g = h*g - 5 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of (-20)\/10 - -5 - (-2302)\/(-744) and -137\/336?\nAnswer: 10416","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 46a16 (base 11) to base 14.\nAnswer: 1a9b3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h(o) = 280*o - 838. Let j be h(3). Factor 5\/6*y**3 + 10\/3*y**j + 5\/3 + 25\/6*y.\nAnswer: 5*(y + 1)**2*(y + 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 2 + 2 - (-3 - -4). Let l(u) be the first derivative of -1\/20*u**4 - 1\/15*u**b + 0*u**2 + 1\/25*u**5 + 0*u + 1\/30*u**6 - 1. Determine n so that l(n) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -72 + 124. Let r = -24.0827 - 27.91689. Let o = r + y. What is o rounded to 4 dps?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -0.4  (b) 0.02  (c) -18  (d) 0.148  (e) 14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let v(m) = -m**3 - 20*m**2 - 2*m - 20. Let h be v(-20). Suppose -u - h = -3*u. Is u a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 43*j - 317 - 133 - 109 for j.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.003792 rounded to four decimal places?\nAnswer: 0.0038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*q = 43 + 56. Suppose -30*r = -q*r - 3. What is the nearest to r in -1, 0.4, 4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 194549281 to the power of 1\/5, to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let t(f) = -11*f + 1. Let p(b) = -423*b - 2. Let w(j) = 3*p(j) + 6*t(j). Let i(z) = -3*z. What is i(w(q))?\nAnswer: 4005*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 167 - 172. Let u(b) = -86*b - 55. What is the hundreds digit of u(s)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from dmamadmmaeammdedme. What is prob of picking 2 d and 1 a?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 8*15\/(-24)*-2. Suppose i*v - 169 = 9*v. What is the tens digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(n) be the first derivative of n**2 + 7. Let p be (2 - (3 - 3)) + 1. Let s(g) = 2*g + 3*g - p*g - 6*g. Calculate q(s(a)).\nAnswer: -8*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 7350638413 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -8198, -16422, -24650, -32882, -41118, -49358, -57602?\nAnswer: -65850","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: (4\/10)\/(1\/(5\/1))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y(z) = 3*z**2 + 86*z - 63. Let i be y(-31). Solve -136 + i = 6*g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (11718*o - 108 + 319 - 109 - 102)*(-2*o**2 + 3*o**2 - 2*o**2) in the form u*o**3 + z*o**2 + m + x*o and give u.\nAnswer: -11718","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6 - 10 = 2*v - 3*d, 4*d - 25 = -v. What is the closest to v in 3\/65, 0.1, -0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -28 - 68*c + 28 as s*c + k and give s.\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 3568089 and 42.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let o(q) = -5131*q + 3119643. Calculate o(608).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 49816 to the power of 1\/3, to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 7139221 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 36\/119 - 10\/17. Let q = 2.95 - -0.05. Let b = 2 - q. Put -5\/4, g, b in descending order.\nAnswer: g, b, -5\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(m) = -3*m - 6. Let i(d) = d**2 + 3*d - 1. Let t be i(-4). Suppose -t*y = f - 0*f + 14, 0 = -5*f + 2*y - 53. What is the units digit of w(f)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*l**2\/11 - 2328*l\/11 + 4867002\/11 = 0. What is l?\nAnswer: -2247, 1083","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -4984\/11 or -454?\nAnswer: -454","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 5157936 and 510969?\nAnswer: 2193","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let u be -3 - (-3)\/(-2)*-2. Suppose -t = -5*x - 41, -2*x + 54 = 4*t - u*x. What is the highest common factor of t and 112?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 60 or -5\/53?\nAnswer: 60","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Determine u so that -1\/4*u**3 + 0*u - 1\/8*u**2 + 0 - 1\/8*u**4 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(q) = -5*q**2. Let v(b) = -69*b + 13. Give s(v(c)).\nAnswer: -23805*c**2 + 8970*c - 845","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s**(4\/7))**17 assuming s is positive.\nAnswer: s**(68\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -94636 = 3275*r + 78939 for r.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 38\/14 + 4\/14. Suppose 2 = -2*v, y*o - 4*v = -5*v + 467. Let 16 - 4*f**2 + 156*f - o*f = 0. Calculate f.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(13)*2 + 3 + sqrt(13))**2 + (-3 + sqrt(13))**2*-3 + -3.\nAnswer: 57 + 36*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let r be ((-69)\/46)\/((-18)\/(-8)). Let u = -3 + -13. Let m = u + 16.1. Which is the nearest to r?  (a) -1\/5  (b) m  (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 25498 + -25499. What is the smallest value in 13, z, -0.2, 2\/53?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -5*((-12)\/24)\/(1\/2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7 + 1 = -2*h. Suppose 4*z = -h*y + 4, -7*z - 3*y - 2 = -9*z. What is the greatest common factor of z and 9?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2179377?\nAnswer: 3, 103, 2351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (12\/36)\/((-1)\/15)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -111001101110001111 (base 2) to base 10\nAnswer: -236431","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j(i) = 358*i - 4296. Let s be j(12). Solve s = -z - 3*u - 14, -3*z + 35*u - 40*u = 30 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 23 - 6*x**2 - 27 + 5.\nAnswer: -6*x**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -317\/1976 + 1\/152. What is the closest to 2\/3 in p, 4, -0.11?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 3938828908 to the nearest integer?\nAnswer: 1579","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 14918 is divided by 207.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -5181 - -5180.399. Is 1 <= c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2842 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 66780 and 27560.\nAnswer: 1060","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 123\/(-20)*(45 - 3)\/(-2394) and 119\/90.\nAnswer: 3420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -6637a + 4?\nAnswer: -66376","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let z(l) = -l**2 + 7*l + 3. Let i be z(8). Let w = -6 - -13. Suppose -2*m + 3*j + 14 = 0, 4*m + 2*j - w - 5 = 0. Sort 5, i, m.\nAnswer: i, m, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 99 = -25*b + 1174. Suppose m = 2*l - 6, -5*l + m + 9 = -3*m. Suppose -o = 3*y - 35, -4*y - 4*o - l = -57. What is the remainder when b is divided by y?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:23 AM and 9:50 PM?\nAnswer: 687","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4 + -2 + -1 + (2 - 0).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1 - 6*g + 33*g**2 - 12*g - 7*g**2 + 49*g**2.\nAnswer: 75*g**2 - 18*g + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Convert -31 (base 12) to base 6.\nAnswer: -101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -97810, -393279, -885742, -1575211, -2461698, -3545215?\nAnswer: -4825774","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 11*y + j + 49, 189283*j - 189288*j = -2*y + 74 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let f(u) = u**2 + u - 1. Let y(q) = -q**2. Let l(c) = -9*c**2 - 2*c + 9. Let r(z) = -l(z) + 5*y(z). Let v(g) = -5*f(g) + r(g). Give v(-3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 120 = 19*u + 25. Solve u*l = -2*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from crcccccrrprcrcrpc. Give prob of picking 2 c and 1 p.\nAnswer: 9\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 13 a factor of 1963?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -551\/5 - -111. Sort u, 4, -1 in increasing order.\nAnswer: -1, u, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from iioqoqqiooq. Give prob of sequence ii.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from wvfwx. Give prob of picking 1 x and 1 v.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 750197, 750363, 750527, 750689, 750849, 751007, 751163?\nAnswer: 751317","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*o + 2 = -2*a, -24 = 4*o + a - 35. Solve 0 + 14\/11*i**4 + 150\/11*i**o + 36\/11*i + 8*i**3 = 0.\nAnswer: -3, -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -529*g**4 + 3*g**3 + 266*g**4 - 269*g**4 - 12045 + 26*g**4 wrt g.\nAnswer: -2024*g**3 + 9*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 111020.\nAnswer: 2, 5, 7, 13, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*b + 241 = -5*v, 0 = -3*v + 4*v + 2*b + 53. Let l be 2\/(14\/(-9)) + (-14)\/v. Which is bigger: l or -2?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine z so that -z**4\/3 - 110*z**3\/3 + 1172*z**2\/3 - 1112*z + 960 = 0.\nAnswer: -120, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence lpp when three letters picked without replacement from {p: 4, l: 16}?\nAnswer: 8\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*t + 3*t - 4*t)*(-102*t**3 - 21*t**3 - 14*t**3)*(-12 + 1 + 0).\nAnswer: 1507*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:48 AM and 4:54 AM?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-5 + 4)\/(1\/(-117)). Let z = -1 - -2. Let r be ((-2)\/(-2))\/z + 12. What is the greatest common divisor of o and r?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(w) = -7*w - 17. Let z be i(23). Let p = z - -145. Let a = p + 521\/16. Find the common denominator of a and 27\/56.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6 = 6*u - 3*u, 2*u = -z - 2. Let f = -6 - z. Suppose l - 1 = -f*g + 4*g, -3*l = 3*g - 18. What is the units digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 38*u + 364 = -32*u + 96*u for u.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -1\/5, 0, -4, 15?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -95 + 595 = 4*u - 3*p, -3*p + 652 = 5*u. What is the tens digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -l + g = 0, -6*g = l - g - 24. Suppose l*q - 3 = -t + 7, 0 = -3*q + 5*t - 4. Suppose -q*j + 19 = -1. What is the least common multiple of j and 8?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -4452*k*r - 103*k + 2 with respect to r.\nAnswer: -4452*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 253299, 506611, 759923?\n\"Answer: 253312*b - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (3\/(-21))\/((-50)\/(-140)*-5).\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 14\/159383045 greater than or equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:19 AM and 2:47 PM?\nAnswer: 568","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*r + 30 = -2*j, -5755 = -j - 3*r - 5772 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 25 is divided by 1\/(-2) - 1743\/(-166)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5.084057 + 0.0299?\nAnswer: 5.113957","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let i(z) = 2*z**2. Let u(m) = 1120379*m**2. Determine u(i(b)).\nAnswer: 4481516*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is (626 - 603) + (-2 - 17)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1410?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of (3\/(-2))\/((-180)\/(-192))*-30?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:58 AM and 6:10 PM?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 1984 and 8432?\nAnswer: 33728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1009?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 600\/9*3\/2. Let a = 484 - j. What is the hundreds digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.24 and -0.5?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 37*d + 90 = 534. Solve -d*n + 25 = -13*n - 5*h, -5*n - 5*h = 45 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -9088 + 1884*d**2 + 9088 + d.\nAnswer: 1884*d**2 + d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is a - -948?\nAnswer: 957","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (1\/2)\/(2\/48). Suppose 3 = -t + 6. Suppose -j - 1 = 4*l - 7, j = 5*l - t. Solve j*u + q = -4*m, 9*u - 4*u - 4*m = 40 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5*(-17)\/765*4592\/164?\nAnswer: -28\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 u, 1 j, 1 k, and 1 q when four letters picked without replacement from kaqquaguquuqqjq.\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 0.61 - 1.14. Let c = 0.05 + y. Let g = 5.72 - c. What is g rounded to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be ((-1497)\/(-90) - (-2)\/(-15))*(-68)\/(-1479). Which is smaller: 1 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 432*j - 432*j - 9711251*j**3 + 9711252*j**3.\nAnswer: j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -412 + 412 + 21*t.\nAnswer: 21*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 35*d**2 + 33*d**2 + 29*d - 65*d**2 to i*d + s + j*d**2 and give i.\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let d be ((-8)\/5)\/((-23)\/(-115)). Let k(f) = 5*f**2 + 4*f - 1. Let t(h) = -14*h**2 - 11*h + 3. Calculate d*k(m) - 3*t(m).\nAnswer: 2*m**2 + m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (42\/14)\/(102\/(-4))?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (1\/6)\/(165\/110).\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 30, 0, -30, -60?\n\"Answer: -30*a + 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 294?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 15*j**6 - 44*j**5*v + 91*j**2 - 18*v wrt j.\nAnswer: 1800*j**3 - 2640*j**2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 49 + (-12390)\/252 - (1 + 23042\/(-20244)) and 13\/2410.\nAnswer: 16870","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(j) = -3*j + 3. Let y(s) = -4*s + 4. Let q(x) = -4*x + 4. Let t(p) = 3*q(p) - 4*y(p). Let z(b) = -b + 3. Let a be z(-2). Give a*t(o) + 6*v(o).\nAnswer: 2*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*h + 16 = 4*c + h, 0 = 3*c + 5*h - 12. Put c, 0, 1 in descending order.\nAnswer: c, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 163*u - 3076 - 1488 = 0 for u.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -16 - 0. Let w = 12 + t. Sort 2\/13, 0.5, w.\nAnswer: w, 2\/13, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 218082409?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (3 - (-196)\/(-68))\/(((-30)\/(-6))\/(133 + -48)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 10388 - 10606151\/1021. Let c = 81617\/21441 - t. What is the common denominator of c and -59\/4?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 53 + -51. Let v(i) = -3*i**2 + 2*i - 3. Determine v(n).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(p) = -18*p**2 - 5*p - 22. Determine o(-3).\nAnswer: -169","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5365 - 34388 = -132*t - 774*t - 8043 for t.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 524283892 to the nearest integer?\nAnswer: 22897","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: -3665 (base 7) to base 8\nAnswer: -2532","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g(z) = -13*z - 585. Let s be g(-44). Let f = 1.1 - 5.1. What is the closest to 0.1 in f, s, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*z - 17 = -89. Suppose z = -2*x + 6*x. What is the remainder when 23 - 8 - 1*-2 is divided by x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(d) = -d**2 - 3*d + 4. Let v be q(-4). Suppose -x + 7 + 2 = v. Is 6 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 191 - 147. Let y(a) = -a**3 - 5*a**2 + 32*a + 40. What is the smallest common multiple of h and y(-9)?\nAnswer: 836","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -4267 rounded to the nearest one hundred?\nAnswer: -4300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 7737 is divided by 3814?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let b(u) = u**2 - 33*u - 78. What is b(35)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Express (3*l - 3*l - 7*l)*(94 - 62 + 54 + 66) in the form z + n*l and give n.\nAnswer: -1064","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(24)\/(sqrt(432)\/sqrt(6)))**2 - -6*sqrt(18)\/sqrt(6)*-5)*5.\nAnswer: -150*sqrt(3) + 5\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 189*m - 2052 = -99*m + 60*m for m.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let r(i) = -4*i**2 + 24*i + 7. Let u be r(11). Let b be u\/(-12) - (-3)\/12. What is the greatest common divisor of 12 and b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 51\/7 - 18\/63. Suppose g + 3 = -5*f - 13, -2*f - i = g. What is the closest to g in 0.1, 2\/15, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 228 is divided by 77.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 162879, 162886, 162889, 162888, 162883?\n\"Answer: -2*y**2 + 13*y + 162868","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -378 + 165. Let r = 473 + x. Suppose -593 = -6*p + 31. What is the greatest common divisor of r and p?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*a - f = 3720, 2135 + 5289 = 4*a - 4*f. Solve 1871*i - a*i = -14 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5 divided by 187181?\nAnswer: 5\/187181","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: -6*(-15)\/(-9)*-5*(-14)\/(-12425)\nAnswer: 4\/71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o(g) = -2*g - 2. Let x(y) be the third derivative of -y**4\/24 - y**3\/6 + 5*y**2 - 30. Give -3*o(a) + 5*x(a).\nAnswer: a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*v + 5*i - 31 = 0, 3*v + 3649*i = 3650*i + 9 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 16 divided by 174?\nAnswer: 8\/87","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let r(w) = 3 - w + 2*w - 9 - 4*w. What is the lowest common multiple of r(-4) and (-3 + 2)*-14 + 0?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 280\/6 + (-2)\/(-6). Suppose 50894*y - 50821*y = 3431. Is f > y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -12*o - 5 = -29 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, 0, -948, -4, 15, 2, 3 in descending order.\nAnswer: 15, 3, 2, 1, 0, -4, -948","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -4 and -3134?\nAnswer: 3130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*i = 3*w - 45, 19 = w + 10*i - 7*i. Let q = 159 + -43. Calculate the remainder when q is divided by w.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 19*o**2 - 8*o**2 + 4*o**3 - 2*o**4 - 8*o**2 in the form h + m*o**4 + j*o**3 + w*o + x*o**2 and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*w + 4 = -4*s, -3*w + 2*w - 5*s - 21 = 0. Suppose -h = -46 - 44. Suppose w*r = -r + h. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*j = j - 11082. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(x) be the first derivative of -141*x**2\/2 + 761*x - 314. Differentiate w(r) wrt r.\nAnswer: -141","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 170 minutes after 10:11 PM?\nAnswer: 1:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2 = -2*q - 0*q, -4*t + 4*q - 4 = 0. Suppose -2*f + 38 = -t*f. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -5b3 + 1a5a?\nAnswer: 1477","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let a be -5*(-3 + (3 - 1)). What is the common denominator of 117\/(-12)*(1 - -1) and 17\/a - 2\/(-10)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from dzcbb. What is prob of picking 1 d and 1 b?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 0 + 0 + 2*z + (1 - 1 - 2*z)*(-18 - 7 + 4) to the form f*z + a and give f.\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Find c such that 0 + 1\/5*c**2 - 1\/5*c = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -78, -148, -218, -288, -358, -428?\nAnswer: -498","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a(h) be the first derivative of -3*h**2\/2 - 6*h - 2. Let j be a(-4). What is the third derivative of 0*w**j + 0*w + 2*w**2 + 0*w - w**6 wrt w?\nAnswer: -120*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 272, -4, 1 in decreasing order.\nAnswer: 272, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 0 + -2374?\nAnswer: -2374","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 27 = 5*m - 4*i, 0 = 3*m - 0*i + 5*i + 6. What is the third derivative of -6*g - 3*g**m + 6*g - 3*g**2 wrt g?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -12 + 21. Let c = 8 - s. What is the closest to -3 in -2\/9, -1\/3, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 60963?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -1 - 15. Let u be (i\/(-12))\/((-2)\/(-3)). What is the first derivative of -2 + 2*h + h**u - 2*h wrt h?\nAnswer: 2*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(u) = u**3 - 2*u**2 - 3*u + 3. Let p be s(3). Let z = 12 + -14. What is the nearest to 0.1 in 0, z, p?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.1923341 milliseconds in nanoseconds?\nAnswer: 192334.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence rv when two letters picked without replacement from {r: 1, v: 2}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let l(x) = -707*x. Let z(c) = 82 - 52 - c**2 - 30. Give z(l(h)).\nAnswer: -499849*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -686 - -1801. Let l = y - 602. What is the hundreds digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -43 + 44. Suppose 15*y - 32 = 11*y. Let s be (-1)\/(-4) - y\/32. Which is the nearest to q?  (a) s  (b) -4  (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose s + 533 = 27. Let b = s - -766. Suppose -4*k + 9*k = b. What are the prime factors of k?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 7\/8?  (a) -0.2  (b) 4  (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let l(a) = -1. Let i(r) = 347*r - 1 - 2 - 179*r - 171*r + 6. What is i(j) + 3*l(j)?\nAnswer: -3*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -2 - -103124420103?\nAnswer: 103124420101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 12526741 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (3\/4)\/(5\/20). Suppose t = -m*t. Suppose t = -3*s - s + 16. Calculate the highest common divisor of s and 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 21 and 147.\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11*x + 26 = 202. Let t(m) = -3*m + 52. Let l be t(x). Find s such that -2\/5*s + 7\/5*s**2 + 0 - 3\/5*s**3 - 7\/5*s**l + s**5 = 0.\nAnswer: -1, 0, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 502 - 507. Let w(l) = -1. Let d(i) = -29*i - 15. Let u(g) = d(g) - 2*w(g). Let f be u(r). Calculate the greatest common divisor of 12 and f.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose z = -2*z - 3*n + 120, -140 = -4*z + n. Suppose -3*r + z = d - 5, 0 = -5*d - 2*r + 205. What is the units digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(c) = c**2 - 5*c - 37. Determine t(-5).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -503491, -503477, -503439, -503365, -503243, -503061, -502807, -502469?\n\"Answer: 2*h**3 - 503493","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 60 and 67958320.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 133\/30 and 17\/222670.\nAnswer: 668010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 3 - (1 + (-10 - 1) - -19)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -53895, -216944, -489147, -870504, -1361015, -1960680?\nAnswer: -2669499","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert 5 (base 16) to base 2.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 215 is divided by 102.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00042216646 to six decimal places.\nAnswer: 0.000422","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 672, 2695, 6066, 10785, 16852, 24267, 33030?\n\"Answer: 674*m**2 + m - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 9776?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 8286180.\nAnswer: 2, 3, 5, 7, 109, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 333 and 518.\nAnswer: 4662","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Factor v**3\/5 + 16*v**2\/5 + 48*v\/5.\nAnswer: v*(v + 4)*(v + 12)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let w(y) = -9*y**3 + 4*y**2 + 7*y - 4. Let n(z) = -8*z**3 + 3*z**2 + 6*z - 3. Calculate -7*n(c) + 6*w(c).\nAnswer: 2*c**3 + 3*c**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.222 in 1\/5, 0.3, -2\/3, 2\/7?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let l(d) = -29*d**2. Let q(i) = -14*i**2. What is q(l(k))?\nAnswer: -11774*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -2197 - -2194. Sort 0.2, 6, -9, -4\/3, g in decreasing order.\nAnswer: 6, 0.2, -4\/3, g, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 191\/6898500 and -139\/324.\nAnswer: 20695500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*x + 76 = 3*i - 39, -3*x = -2*i + 75 for i.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from bldbbdlbb. What is prob of sequence lldb?\nAnswer: 5\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 82 a factor of 51164?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((7 - 5) + 3 - -3) + -5.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q(b) = -3*b**3 - 9*b**2 + 1081*b - 7605. What is q(7)?\nAnswer: -1508","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of (-104)\/(-4) + (-38)\/19 and 100.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 250649630 to the power of 1\/2, to the nearest integer?\nAnswer: 15832","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 0.413 - -0.087. Let v = 2.2 + -2. Let l = v + -0.3. What is the closest to l in 2\/13, 1, m?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*r**3 - 95*r**2 + 187*r**2 - 170*r - 92*r**2.\nAnswer: 2*r**3 - 170*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let u(s) = -s**3 - 5*s**2 - 6*s - 6. Suppose 0 = -5*f + 17 + 53. Let o(j) = -9*j - 9. Let h be o(-2). Suppose -22 = h*c + f. What is u(c)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*l + 3 + 7. Let x = l - 4. Let v be (x\/(-5))\/(3\/(-45)). Let j(g) = -7*g**3 - 5*g**2 + 7*g - 6. Let c(t) = t**3 + t**2 - t + 1. Give v*c(r) - j(r).\nAnswer: r**3 - r**2 - r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-4 - 1 - 2)*(-5 + 4 + 2) - 3 + 4 - 2 + (4 + 1 - 3)*(-3 + 5 - 1))*(5 + 9*r - 5).\nAnswer: -54*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -166599, -166596, -166593, -166590, -166587?\n\"Answer: 3*t - 166602","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is (-880)\/(-264)*6*21\/70?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Factor l**2\/5 - 276*l\/5 - 277\/5.\nAnswer: (l - 277)*(l + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 96\/7 - 92\/7. Let f = -0.02 + -0.08. Put n, -5, f in descending order.\nAnswer: n, f, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 23061 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 768*x = 24*x - 808*x + 37248 for x.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*r = -d - 22, -48*r + 53*r = -4*d + 2. Let b(x) be the first derivative of 7\/2*x**2 + d + 6*x. What is the first derivative of b(k) wrt k?\nAnswer: 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose k - 2155 = 4*o + 1796, 5*k + 3*o = 19801. What is the thousands digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*s**3\/7 - 902892*s**2\/7 + 7278760596*s - 7278631612.\nAnswer: 4*(s - 112861)**2*(s - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -0.19 - -0.49. Put 1\/5, 5, v in decreasing order.\nAnswer: 5, v, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((k**2\/((k\/k**(-4\/9))\/k*k))\/(k\/k**1*k**(-3\/8)))\/((k\/(k\/(k\/((k**(6\/11)\/k)\/k))))\/(k*(k*k**7)\/k*k))**(2\/53) assuming k is positive.\nAnswer: k**(49429\/41976)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 1545782 and 82?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, -8, -5\/3, -444 in descending order.\nAnswer: 3, -5\/3, -8, -444","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00142115465 rounded to 6 dps?\nAnswer: 0.001421","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.42 and -16?\nAnswer: -6.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:02 PM and 5:25 AM?\nAnswer: 503","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let w(k) = -6*k + 23*k - 18*k - 11. Calculate w(-12).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence tw when two letters picked without replacement from wiwvwwvvwwvwwtwtvv?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*j + 10 = 2*y, -j = -4*y - 0 + 10. Solve 0 = 3*m + 9, 3*m = 3*b - 1 - j for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -i = -2*i + 3. Let m be (3 - 42\/30)\/(1 - (-54)\/(-90)). Is i greater than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.5 and 2159.\nAnswer: -1079.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let q(s) = s**3 + 7*s**2 - s - 19. Let c be q(-6). Which is smaller: 15 or c?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {j: 2, p: 16}. Give prob of sequence jjp.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {u: 1, c: 1, s: 1, y: 1, v: 1}. What is prob of sequence sv?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let y(w) = w**3 + 7*w**2 - w + 5. Let s be y(-7). Let p(q) = q - 1. Let t be p(4). Suppose -3*x - 30 = -t*g, -5*x = -2*x + s. What is the units digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*w + 5 = -14*o + 10*o, -w = -o - 2 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 32\/5 of a decade in years?\nAnswer: 64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2 in 3, -69, 41?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -u = -g - 2*u - 3, 4*g - 2*u = -12 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let j(g) = 253*g**2 + 2778*g - 9. Determine j(-11).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let b(c) = c**2. Let u(l) = l**2 + 168*l. What is u(b(n))?\nAnswer: n**4 + 168*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let k(f) = -2*f. Let z = 34 - 28. What is k(z)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 9250?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Does 7 divide 29663?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Divide 20592 by -6.\nAnswer: -3432","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -3 + 5. Suppose -7*o = -n*o - 85. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -32*o**4 + 5*o**2 - 3*o**2 - 5 + 2*o**3 - o - 38*o**4 + 74*o**4 as p + k*o**2 + z*o**4 + j*o + c*o**3 and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -20 = -8*g + 3*g. Let z(p) be the first derivative of 8\/3*p**3 + 5\/6*p**g + 4\/3*p + 3*p**2 + 2. Suppose z(q) = 0. What is q?\nAnswer: -1, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 737026 is divided by 6952?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let f(k) = 4 + 5 + 0*k - 4 + k. Let h(m) = -m - 6. What is 6*f(c) + 5*h(c)?\nAnswer: c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is -242645 (base 8) in base 15?\nAnswer: -19a7a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 i, 1 y, and 1 s when three letters picked without replacement from iivygss.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -636578, -636579, -636580, -636581, -636582?\n\"Answer: -a - 636577","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (3 + -2)\/(1\/9). Suppose -2*h = -i - h - 1, -5*h = -4*i - p. Solve -2*z = 2*x - i*x + 2, -4*x + 4 = 5*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -70.8 + 40479.831?\nAnswer: 40409.031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 5680 + -2283. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*q - 96 = 144. Let j = 80 - q. Let y(c) = -3*c - j - 2*c + 40. Let z(l) = 4*l**2. What is z(y(f))?\nAnswer: 100*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -166 - -168. Solve 4*h - 4 = -0, -u = -w - h for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -11 - 5. List the prime factors of -4*((-4)\/u - 3).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-2 - -1)*-6*(-1)\/(-2). Calculate the remainder when 19 is divided by (6 + -3 - h) + 14.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence daq when three letters picked without replacement from dxxxlqlqaagqlxlldl?\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1073*w - 106482 = -2*o - 1072*w, 3*w = 3*o - 159726. Calculate the greatest common factor of 10 and o.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -782 - -1567. What is the first derivative of -m*d**2 + 8 + 785*d**2 + 33*d**4 wrt d?\nAnswer: 132*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 46899403 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -0.5 - -1.5. Let p = 25.82 + -26. Let t = p - -0.07. What is the smallest value in s, -2, t?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 20*r**2 - 17*r**2 + 7*r**2.\nAnswer: 10*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 11601699?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 31 a factor of 93?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 5*r + 0 + 0 + r + 3*r - 5*r + (2 - 4 + 0)*(-r - 3 + 3) - 3 + 3 + r - 1 + 1 + 2*r + r - 1 + 1 - 2*r + 0*r - 1656 + 1393 to v*r + x and give x.\nAnswer: -263","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is -7 (base 10) in base 8?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 3740 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Determine r, given that r**3\/5 - 7*r**2\/5 + 3*r - 9\/5 = 0.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 186, 387, 586, 783, 978, 1171, 1362?\n\"Answer: -c**2 + 204*c - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -6*(sqrt(11) + -2) + (sqrt(44)\/sqrt(4) + sqrt(11) + -5)**2 + sqrt(11).\nAnswer: -25*sqrt(11) + 81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let z(k) = 5*k**2 + k. Let r be z(-1). Solve 0 = -u - 1 + r for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 23*i = 256 + 20. Suppose -i = 6*s - 9*s. Let c be (2\/(-3))\/((-12)\/(-90)). Sort s, 2, c in increasing order.\nAnswer: c, 2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.9343054l to millilitres.\nAnswer: 934.3054","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 59 + -61 + -3*(-1 + 0).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*a = 4*j + 38, -2*a + 22 = -j - 10. Suppose 10*r - a = 5*r. Suppose r*p = 8*p - 355. What is the units digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*y + w + 60 = 3*w, 8*y = 5*w + 1195 - 1344 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let x(z) be the third derivative of z**4\/24 + 3*z**3\/2 + 5*z**2. Let p be 1\/(-1 + (-14)\/(-16)). What is the units digit of x(p)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: 28438905 divided by 15\nAnswer: 1895927","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 473 + -471. Suppose 3 = f + 2*w, 5*f + 5*w + 1 - 11 = 0. Put b, 5, f in decreasing order.\nAnswer: 5, b, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 1\/(-3) + 250\/(-15). Let c = 48 + u. Suppose c - 6 = -5*i. What is the third biggest value in 1\/3, 3\/5, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 1*-1 - (-174)\/6. Let q = 28 - b. Solve 2*m = 4*s - 0*s + 10, q = -5*m + s + 7 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 521*l**3 - 261*l**3 - 258*l**3 - 183*l.\nAnswer: 2*l**3 - 183*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: 2\/6 - 7905\/765\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Does 26 divide 2626?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let c(a) = -a**3 - 10*a**2 - 9*a - 9. Let w be c(-9). Let q(z) = -z**2 - 7*z + 13. Let h be q(w). Let n = 6 + -6.3. What is the closest to h in -3, 4, n?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1255459 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, 6, 5, -3, -48 in decreasing order.\nAnswer: 6, 5, 1, -3, -48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -25675, -51216, -76757, -102298, -127839?\n\"Answer: -25541*f - 134","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*y + 2*o + 39, -5*y + 3*o + 22 + 19 = 0. What is the greatest common divisor of 7 and y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 5\/(20\/(-3))*27\/81.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -524765915.9 + -980.1?\nAnswer: -524766896","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2883373 - -2904.14.\nAnswer: 2886277.14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1327564.\nAnswer: 2, 7, 17, 2789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (5 - -5)\/(-1 - 1017\/(-1014)). Suppose 5*z + 0*n = 5*n + a, 1340 = 2*z + 4*n. List the prime factors of z.\nAnswer: 2, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -3\/79 - 4\/1975. Let n(b) = -b**2 + 12*b + 12. Let x be (-3)\/(6*-1)*26. Let y be n(x). Is y >= r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -15, -6, -3425, 0.1, 5?\nAnswer: -3425","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 3223642 to the power of 1\/2, to the nearest integer?\nAnswer: 1795","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 22981?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 77 and 55.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*o = 2*o + 9. Suppose 4*c - 5*c = 5. Put o, 2, c in decreasing order.\nAnswer: o, 2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -65\/226802 and -17\/998830?\nAnswer: 150823330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 1 + 4. Suppose 17 = 2*x - i. What is the highest common divisor of x and 55?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be -1*(-10)\/2 - (-2134)\/194. What is the highest common divisor of f and 304?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 7252261 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand -33*l + 57*l + 118*l + (2*l + 3*l - 4*l)*(6 - 2 - 3)*(17 - 6 + 11).\nAnswer: 164*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let l(h) = -h**3 - 238*h**2 + 1215*h + 126. Determine l(-243).\nAnswer: 126","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 8584 is divided by 1156.\nAnswer: 492","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -15 + 10. Let v(l) = -l**3 - 6*l**2 - 5*l - 1. Let i be v(t). Let n be i\/(-3) - 5\/(-3). Solve -g + 0*g - n = 0 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -21, -48, -93, -162, -261, -396, -573?\nAnswer: -798","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*j = -5*n + 303, j + 2*j - n - 251 = 0. Suppose -s + 432 = j. Suppose -l - s - 780 = 0. What is l rounded to the nearest 100?\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: -493793 (base 14) to base 12\nAnswer: -a0a819","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 3192 and 72138?\nAnswer: 38377416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*t + 28*q + 12 = 29*q, 2*t = -4*q + 8. Solve 0*n + 4 = 3*n - t*u, -u - 20 = 4*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let s(b) = 2*b. Let i(n) = -n + 1. Let r(x) = x - 2. Let z(a) = -2*i(a) - r(a). What is z(s(c))?\nAnswer: 2*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Does 26 divide (-30107)\/(-15) + 304\/(-2280)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(m) = -27 - m + 26 + 2*m. Let w(b) = -2*b - 3. Let u be w(-3). Let y be x(u). Solve -2*i = y*q - 4*i - 4, -4*q = -5*i - 6 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 5.388431 days to nanoseconds.\nAnswer: 465560438400000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 37833 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: -81 (base 9) to base 5\nAnswer: -243","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 72024056053 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -89123.3 + 92936. What is v rounded to the nearest ten?\nAnswer: 3810","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, -1084, -4, -4\/13 in descending order.\nAnswer: -4\/13, -3, -4, -1084","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 428  (b) 1\/11  (c) 26\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*l**5\/7 - 38*l**3\/7 - 68*l**2\/7 + 24*l\/7 + 80\/7 = 0. What is l?\nAnswer: -2, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -8.21 + 8.61. What is the closest to 0 in -0.1, 4, -1, t?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 575 and 46.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -17\/14 and 55\/4277?\nAnswer: 8554","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 2301.557812 rounded to the nearest ten?\nAnswer: 2300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1 in 45, 0, -4, 1\/6, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2 + (sqrt(1008) - (-5 + sqrt(1008) + 1) - (-5 + sqrt(1008) + 0))*-2)**2.\nAnswer: -768*sqrt(7) + 4288","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 64843677?\nAnswer: 3, 7204853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -275604721 - 3?\nAnswer: -275604724","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is -1 greater than 1\/40005?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -3898, -3381, -2504, -1255, 378, 2407?\n\"Answer: 2*y**3 + 168*y**2 - y - 4067","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q(h) be the first derivative of 2*h**3\/3 + 2*h**2 - h - 1. Let f be (2 + -1)*21\/(-7). Let p be q(f). Solve -p*v = -v + 4 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(x) = x**2 + 8*x + 2. Let j be n(-8). Suppose j*u = -c + 601 - 120, -4*u = -4. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -1.5 + 1.2. Let s = y - 0.2. Which is the nearest to 1?  (a) -1  (b) s  (c) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 3013012 - 2203?\nAnswer: 3010203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -1905834 - -1243034. Round n to the nearest 100000.\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 36 (base 9) to base 7.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 32 + -32. What is the closest to p in -2, 1, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 0, 6, 2 in increasing order.\nAnswer: 0, 2, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1659498 divided by 46.\nAnswer: -829749\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Sort 163, 5, 2 in descending order.\nAnswer: 163, 5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*o + 12 = -2*q, -5*q - 4*o - 12 - 1 = 0. Let x = q - -2. Calculate the remainder when 25 is divided by (-1 + x - -13) + 0.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(a) = a**3 - 7*a + 2. Let x be h(-5). Let o = x + 529\/6. Suppose -o*i**4 + 0 + 0*i - 1\/6*i**3 + 0*i**2 = 0. Calculate i.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {p: 1, d: 4, x: 9, u: 1, n: 2}. Give prob of sequence unpx.\nAnswer: 3\/9520","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let g be -5 - (0 - 8\/4). Let d be 15\/g + 3 + 7. Suppose -3*c = 2*c - v - 68, -2*c = d*v - 38. Is 5 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2961*p - 3205*p = -6100 for p.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*w = -2*j - 7, -7*j + 8*j - 3 = 4*w for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -1101110000 + -10?\nAnswer: -1101110010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-4)\/(-3) - 4\/(-6). Let p(k) = -k**2 + 5*k**2 - 2*k**y. Let t(a) = 17*a**2. Give p(t(h)).\nAnswer: 578*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -100111101100111 + 10000101?\nAnswer: -100111011100010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: 59 + -66 + 3 + -8 + 17 + -2\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 6031837 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let t(n) = -27*n. Let c(u) = -325*u. What is -2*c(w) + 25*t(w)?\nAnswer: -25*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (4 + -8 - -4) + (7 - 0). Let f(k) = -k**3 + 7*k**2 + 6*k - 34. What is the remainder when 13 is divided by f(t)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*n**2 + 0*n**2 - 3*n**2)*(4 - 2 + 1)*(3*n + 3*n - 2*n)*(0 + 1 + 0).\nAnswer: -84*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 6530 - 460. What is the units digit of w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 92 and 24.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -21375*q**2 + 7129*q**2 + 7138*q**2 + 7125*q**2.\nAnswer: 17*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand 10*f**2 - 12*f**2 - 3*f**2 + (f + f + 0*f)*(-4*f + 2*f + f) - 2*f - 2*f**2 + 2*f + (-3*f + 0*f + 2*f)*(-2*f + 6*f - 2*f).\nAnswer: -11*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -11 divided by 155.\nAnswer: -11\/155","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00828835 less than 24?\nAnswer: 24.00828835","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1653 = 33*a - 3387 - 2088. What is the remainder when 9071 is divided by a?\nAnswer: 215","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -417 to the nearest ten.\nAnswer: -420","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = a - 1 - 71. Does 30 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -55\/2923962 and -137\/1998?\nAnswer: 26315658","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*x + 5*n + 38 = 0, 23*x - 22*x + 2*n + 2 = 0. Suppose 3*r + 4*l = 119, -3*r = -3*l - 30 - 54. What is the smallest common multiple of x and r?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does -3\/11666 = 2\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -107*-34.\nAnswer: 3638","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*t + 7 + 26 = 0. What is the remainder when 42\/((2*1)\/((-72)\/(-54))) is divided by t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -4, 2\/53, 1?\nAnswer: 2\/53","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1621 is divided by 27.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -97422 + 53213 - 78501 = 2914*n + 5851*n for n.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((f*f**(-2\/3))\/f**5)\/(f*f\/(((f*f*f**(-2\/7)*f)\/f)\/f))**(-36) assuming f is positive.\nAnswer: f**(874\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 2975*w**3 - 8144*w**3 - 11252*w**3 + 1275*w**3 + 10156*w**2 + 3035*w**2 wrt w.\nAnswer: -90876","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -4 times -2\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let a(k) = -k**2 + 2*k - 17. Let i(s) = -2*s + 5. Let j(w) = -a(w) - 6*i(w). Determine j(-10).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many micrograms are there in 3076.97mg?\nAnswer: 3076970","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n(i) = 0 - i**2 + 1 - 2*i**2 + 0. Let c be n(-1). What are the prime factors of (6\/(-15))\/(c\/50)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2238698*u**3 + 0*u + 0*u + 521264*u**3.\nAnswer: -1717434*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let d(y) be the second derivative of 1\/6*y**3 + y**2 + 0 + 2*y. Differentiate d(j) with respect to j.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 6560\/15408 - 92\/207.\nAnswer: -2\/107","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence prr when three letters picked without replacement from ruuuprvrurrpv.\nAnswer: 10\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let o(w) = 22*w + 6. Let r be o(11). Suppose 0 = 5*l - 4*c - 310, 4*l + 3*c + 2*c - r = 0. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 8 in 3, 5, 1\/19, 4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let q(z) be the second derivative of -z**7\/105 + z**5\/15 - z**3\/3 - 3*z**2 + z. Let a(j) be the first derivative of q(j). Factor a(b).\nAnswer: -2*(b - 1)**2*(b + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 277 - 279. Let n(x) be the first derivative of 40*x**3\/3 + x**2\/2 + x - 7. Does 34 divide n(t)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -14233 - -16239894\/1141. Find the common denominator of y and 16.\nAnswer: 1141","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (105\/28)\/(2\/8). Suppose 0 = 3*g + o - 3. Let j = g + 9. Is 3 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:50 AM and 3:13 PM?\nAnswer: 203","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -108975 - 214937*l**2 + 108975.\nAnswer: -214937*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(84) + sqrt(84)*-1 + sqrt(84) + sqrt(84))*5 + sqrt(84) + 4*sqrt(84)*4)\/((sqrt(480)\/(2*sqrt(8)))\/(sqrt(15)\/(sqrt(12)\/sqrt(4)))).\nAnswer: 54*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let v(n) = -n**2 - 6*n + 4. Let f = -91 - -85. What is v(f)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 266*b**2 + 13741*b + b**3 - 6870*b - 6871*b + 0 + 0.\nAnswer: b**3 + 266*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 13 - (22 + 72 + (2 + -3 - 12)) - 6?\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4587813.\nAnswer: 3, 169919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -215.7 and -8852?\nAnswer: 8636.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -d**4 - 146*d**2 + 488*d - 1 wrt d.\nAnswer: -12*d**2 - 292","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -157\/6213480 and -71\/66?\nAnswer: 68348280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((p**6\/p*p**1*p**(-5\/3)\/p**(-1\/12))**(8\/3))**(-3\/13) assuming p is positive.\nAnswer: p**(-106\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 divided by 4511284?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 209 and 5053829.\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:24 PM and 2:58 PM?\nAnswer: 154","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let h(q) = -101*q + 2246. Let t be h(41). Which is smaller: -1894 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*b - b - 48 = 0. Let h(s) = -s**2 + s + 1. Let j(z) = 2*z**3 - 6*z**2 + 6*z + 6. Determine b*h(f) + 2*j(f).\nAnswer: 4*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-6*sqrt(208))**2 - 1*(sqrt(13) + -2)**2.\nAnswer: 4*sqrt(13) + 7471","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1*-83937.\nAnswer: 83937","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: (1035\/5175)\/(((-2)\/10)\/((-2)\/5))\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 36\/12 - (-42)\/3. Suppose -13 = b*v - 115. Let w be (-1 + 1)\/(3\/3). Sort 4, v, w in descending order.\nAnswer: v, 4, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 46500 and 250.\nAnswer: 46500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 137520782176240 + -0.4?\nAnswer: 137520782176239.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f\/((f**(-1\/3)\/f)\/f))**33 assuming f is positive.\nAnswer: f**110","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 44199 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, -4, -5, -385 in ascending order.\nAnswer: -385, -5, -4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is -117465 take away -4?\nAnswer: -117461","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 - -3 - (-13 - -10)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 8*n - 9*n + 3*u = -5, -77*u - 10 = -2*n - 78*u for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Round -5690000 to the nearest one million.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*a**3 - 230364*a**2 - 921492*a - 921504.\nAnswer: 3*(a - 76792)*(a + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 87420 and 9160500?\nAnswer: 1860","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let b(a) = -2*a**2 + 6*a - 4. Let z(o) = -o**2 + 3*o - 2. Suppose 22*r = 25*r - 6. Determine r*b(l) - 5*z(l).\nAnswer: l**2 - 3*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*a - 77 - 3 = 0. Let t be 2\/(-7) - (-148)\/28. Suppose 2*z + 3*x = 45, 3*x - 2 = -t. What is the greatest common factor of a and z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 472 and 1664508?\nAnswer: 3329016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let u(m) = m + 4. Let k(c) = -13*c - 13. Let d(h) = 31*h + 27. Let i(w) = -2*d(w) - 5*k(w). Determine -3*i(z) + 8*u(z).\nAnswer: -z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: (-18)\/3*(((-29070)\/152)\/(-17))\/(33\/(-22))\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 less than -8717799?\nAnswer: -8717799","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand -5*s**3 + 0*s**3 + s**3 + 4*s**3 + 2*s**3 - 4*s**3 + (1 + s**3 - 1)*(-5 + 4 + 3) + s**3 + 0*s**3 + s**3 - 5*s**2 + 5*s**2 - 3*s**3.\nAnswer: -s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand (y**2 + 2*y**2 - y**2)*(-6 + 10 + 7).\nAnswer: 22*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 1013 + -1918. What is n rounded to the nearest one hundred?\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -651291, -1302579, -1953867?\nAnswer: -2605155","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: 2 + (5 - ((-1 - -1) + 3))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 k when two letters picked without replacement from {k: 4, e: 2, l: 2}.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:37 AM and 4:14 AM?\nAnswer: 217","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 3958 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: 0.057 * -5\nAnswer: -0.285","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 1312 and 48?\nAnswer: 3936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*i + 7 = 192*j - 196*j, -3*i = -2*j - 5 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let q be -4 - (108\/3)\/(-6). What is the second derivative of 2946*x**3 - 2946*x**3 + 18*x + q*x**2 - 52*x**5 wrt x?\nAnswer: -1040*x**3 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 3 and 27.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 45\/4 and 65\/68.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 60 - 112. Let l be (-4)\/1*s\/8. Suppose -l*z = -25*z - 533. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 6150008677 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -692\/5 - -139. Let m = -419.4 - -413.4. Let u be (-1)\/(-4)*-9 - -2. Which is the nearest to 0?  (a) m  (b) s  (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(h) = 11*h - 20. Let i be b(4). Calculate the highest common factor of 144 and i.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -8 + 3. Let w be (3 + t)*1\/3. Suppose 2*q + 2*q = 0. Is w bigger than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -3*b**2 + 244*b**4 + 267*b**4 - 770*b**4 - 1 + 3*b + 213*b**4 to n*b**3 + v*b + m + o*b**4 + i*b**2 and give i.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Divide 3 by 148.\nAnswer: 3\/148","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 17 a factor of 6715?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 r and 1 h when two letters picked without replacement from ishrhyk?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:37 AM and 11:22 AM?\nAnswer: 585","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let z(s) = -1483*s + 2040. What is the thousands digit of z(-8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2461.\nAnswer: 23, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 57 and 1158586218?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Put 2056.76, 0.001, -3 in increasing order.\nAnswer: -3, 0.001, 2056.76","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 56722?  (a) 0.2  (b) 1  (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: -1 divided by 1\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 853 to the power of 1\/3, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 5\/24 of a week in minutes?\nAnswer: 2100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10*n + 11*n = 5. Let g = 11 - n. Calculate the smallest common multiple of 2 and g.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 731 is divided by 559.\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -16031419, -32062858, -48094297, -64125736, -80157175, -96188614?\nAnswer: -112220053","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a**1*(a*a*a**7)\/a*a*(a**0)**(-29))\/(a\/a**(-1\/8)*a*(a\/(a*a\/((a\/(a*a**(-5)))\/a)))\/a*a*a*a)**(-37) assuming a is positive.\nAnswer: a**(2189\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 1410 and 210?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -149*s + 427 = 1883 + 481 for s.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 r and 1 h when three letters picked without replacement from {h: 3, r: 4, l: 7}?\nAnswer: 9\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*i = 12*i - 42. What is the remainder when 220 is divided by i?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 10000122 - 22?\nAnswer: 10000100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 122883 to the power of 1\/2, to the nearest integer?\nAnswer: 351","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -3087, -6179, -9273, -12369, -15467, -18567, -21669?\nAnswer: -24773","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -46 - (-13 + 6 + 8 + -1 + 8).\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -1679 - -9959\/6. Find the common denominator of 115\/474 and u.\nAnswer: 474","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -129 + 377. Suppose 3*v = 5*v - c. Is 11 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 3050121143 + 5?\nAnswer: 3050121152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -7836, -31339, -70510, -125349?\nAnswer: -195856","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l(h) = 2*h - 6. Let b be l(3). Solve -3*z + z - 4*m - 2 = b, -9 = 3*z + 3*m for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -112800 to the nearest 1000.\nAnswer: -113000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 72.52 from -10967519281.\nAnswer: -10967519353.52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {q: 4, i: 3, t: 3, j: 4}. Give prob of picking 1 t, 1 i, and 1 j.\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 12003 + -1100. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 317 is divided by 55.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let k(b) = 174*b**3 - 2606*b**2 - 52*b - 126. Determine k(15).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is (-30 + 8693)*(3 - 2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x*x\/x**(6\/7)*x*x*x**(2\/15))\/(x**(-3\/10)\/x**(-2\/55)) assuming x is positive.\nAnswer: x**(8177\/2310)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n**(-1\/12)\/n)**(-30)*(n*n*n*n*n**(-9)*n*n*n)**(1\/22) assuming n is positive.\nAnswer: n**(713\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-2*a + 3*a - 3*a)*(a**2 - a**2 + a**2) + 8*a - 8*a + 5*a**3 - a**2 + 2*a**3 + a**2)*(7 - 1 - 3).\nAnswer: 15*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 596*p + 580*p - 1623*p + 528*p.\nAnswer: 81*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 11121 + -10133200?\nAnswer: -10122013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -z**2 - z + 2*z + 29954*z**3 - 28721*z**3 to the form c + j*z**3 + f*z**2 + l*z and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let h(n) be the third derivative of 2\/65*n**5 + 32*n**2 + 0*n**4 + 0*n + 0 + 1\/195*n**7 - 1\/2184*n**8 - 4\/195*n**6 + 0*n**3. What is x in h(x) = 0?\nAnswer: 0, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4412776 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 683304\/23 at least 3\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Put 37, 10, -10 in descending order.\nAnswer: 37, 10, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Put 217, -18, -4, 2, 3, -5 in descending order.\nAnswer: 217, 3, 2, -4, -5, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 0 + -10021122000010?\nAnswer: -10021122000010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let o(p) = -3*p**2 - 17 - p + 4*p**2 + 0*p**2 + 11. Let h be o(-4). Suppose f - h*f = -195. Calculate the remainder when f is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: (((-27)\/12)\/(-3))\/(((-15)\/(-160))\/(294\/168))\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, 58, -1, -2, 6 in descending order.\nAnswer: 58, 6, -1, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: How many nanometers are there in fourty-six fifths of a micrometer?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*a**4\/9 + 88*a**3 - 532*a**2\/3 + 800*a\/9.\nAnswer: 4*a*(a - 1)**2*(a + 200)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*j + 25 = 2*j. Suppose -576 = v - j*v. What is the highest common divisor of 18 and v?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Do 3503258 and -37 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*h - 21 = -2*j - 7*h, 9 = j + 2*h. Let z = 0.05 - -0.05. What is the nearest to z in 1\/2, 6\/5, j?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(j) = j**2 + 18*j - 5. Let g(s) = 5*s - 1. Calculate -2*c(l) + 6*g(l).\nAnswer: -2*l**2 - 6*l + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let m(r) = r + 51. Let o(k) = -2*k - 4. Let l(u) = 3*u + 5. Let h(n) = -4*l(n) - 5*o(n). Calculate m(h(t)).\nAnswer: -2*t + 51","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1 in 2\/3, 0.4, 2, -0.017, 6.32, 2\/9?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let d(h) = 48*h**3 - h**2 + h + 2. Let b(o) = -o**2 + 12*o + 12. Let f be b(13). Let p be d(f). Let x be (-15)\/(-5) - p\/(-15). Put -3, 0, x in decreasing order.\nAnswer: 0, x, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 5566420 is divided by 2783088?\nAnswer: 244","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 6\/4*(2604\/567 + -4)?\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*t + 8*t + 2*t)*((-1 - 1 + 7)*(5*t + t - 5*t) + 2*t + 5*t - 5*t - 1).\nAnswer: 49*t**2 - 7*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1?  (a) 0.15  (b) -3  (c) 0.4  (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 12 + -7. Suppose -h*j = 3*a + 14, 5*j + 22 = 3*a + j. Suppose 0 = -a*b - 0*b + 18. What are the prime factors of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(t) = 2501*t + 27507. Calculate m(-11).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 446 + -17. Suppose -4*y - 279 - 561 = 0. Let b = s + y. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1.01?  (a) -3\/2  (b) -3  (c) 2  (d) -2\/5  (e) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*m + 3*m = -280. Suppose -w = -4*i - 19, 33*w - 32*w - 3*i = 15. Suppose -45 = w*d - 51. Calculate the smallest common multiple of m and d.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1\/2 in -0.4, 0.3, -9641, 0.4, 0.2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-3)\/9*-3 - (-118 - -9). What is the highest common factor of t and 88?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 0.1  (b) -2  (c) 6  (d) 3  (e) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*g + b - 44 = 62, 3*g - b = 76. Suppose 4*r = -2*w + 10, 0 = 4*r - 5*w + 13 - 2. What is the least common multiple of g and r?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: 349\/(183225\/1350) - 368\/154\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many days are there in 0.6983388 hours?\nAnswer: 0.02909745","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Work out 28.28 * -21.1.\nAnswer: -596.708","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify j**10*(j\/(j*j**(-3\/4)))\/j assuming j is positive.\nAnswer: j**(39\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5*(sqrt(425) + 3)*2 - (0 + sqrt(612)*4 + -1))**2.\nAnswer: 1612*sqrt(17) + 12453","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let j be ((-34)\/(-34))\/(1 + 0\/1). Let s be 2\/(j\/((-15)\/(-70))). Let p = -1 - -1. Which is the nearest to p?  (a) s  (b) -1\/6  (c) 6\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 2231, 4428, 6557, 8588, 10491, 12236, 13793?\n\"Answer: -5*c**3 - 4*c**2 + 2244*c - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r(v) = -272*v + 45717. Calculate r(168).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: 737 - -55\nAnswer: 792","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 w and 1 a when two letters picked without replacement from wawaw?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let c(n) be the third derivative of -n**5\/120 - n**4\/6 + 4*n**3 + 20*n**2. Let j(a) be the first derivative of c(a). Calculate j(-3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 4 + 40c?\nAnswer: 412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, 3, -107.57598 in increasing order.\nAnswer: -107.57598, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 433*n**2 + 1168*n**3 - 883*n**2 + 450*n**2 + 782*n**3.\nAnswer: 1950*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let d(p) = -147*p**3 + 3*p**2 + 2*p - 2. Let i be d(-1). Let w = i + -133. Let f be 2*((-390)\/4)\/(-3). What is the greatest common factor of w and f?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (12\/(-8))\/(1\/184*-6). Suppose -v*r + 50*r - 16 = 0. Suppose r*x - 3*x - 1113 = -5*w, x + 663 = 3*w. Does 24 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 269.9 + -270. Suppose 4*g + 4*k + 478 = 2*g, 5*k = 5*g + 1135. Let w = g + 4387\/19. What is the biggest value in 2\/11, u, w?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((z\/((z*z**(-2\/3))\/z)*z)**(-2\/7))**(-1\/30)\/((z*z\/z**8)\/z*z*z*z**(-6\/11)*(z**(-1\/6)*z)\/(z**(-1\/3)*z)) assuming z is positive.\nAnswer: z**(37451\/6930)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: -1 (base 3) to base 9\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 22*a + 25*a - 15*a + 20.\nAnswer: 32*a + 20","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is (-14)\/(-126)*-1*5\/((-315)\/(-54))?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 217 is divided by 44.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 38 + -27 - (-8 - -10).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 108 = 2*w - 5*w. Let s be w\/(-5) + 1 - 41\/205. Suppose -s*m = 23145 - 73105. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -6.4 and -0.024.\nAnswer: 0.1536","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 1087804?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 (base 11) in base 13?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0002649 to four decimal places.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 36, 13, -90, -273, -536, -879, -1302?\nAnswer: -1805","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -a63870 (base 12) in base 4?\nAnswer: -21333130110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 9 minutes before 5:23 AM?\nAnswer: 5:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -5 - -3. Let g = m + -2. Let y = g - -3.9999999. Round y to seven decimal places.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*m - 45 - 111. Suppose r + 2*p - 8 = -p, 13 = 2*r + 5*p. Is (1\/(-3))\/(r\/m) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(y) = -2*y - 3. Let q(j) = -j - 2. Let o(a) = -13*q(a) + 6*w(a). What is the smallest common multiple of 6 and o(0)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(l) = -3*l + 31. Let w be g(0). What is the first derivative of -33*o**2 - 3 + w*o**2 + 2 wrt o?\nAnswer: -4*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 14 divided by -137633\nAnswer: -14\/137633","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -4\/9?  (a) -2\/7  (b) -26  (c) -2  (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let t(f) be the second derivative of -3*f**5\/20 - f**4\/2 - 5*f**3\/3 - 13*f**2\/2 + 4*f. Is t(-6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1947.4728 rounded to 1 dp?\nAnswer: 1947.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*m - 3*y - 7 = 0, 119*m - 18 = 120*m + 4*y for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 6 - 11. Let f(t) = -2*t - 8. Let x be f(s). Let u(b) = 31*b + 4. Let j be u(x). What is the highest common divisor of j and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2*sqrt(800)*-5 + (4 + sqrt(800))*6.\nAnswer: 24 + 320*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -7.0581*-0.5.\nAnswer: 3.52905","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -9*c - 117 = -189 for c.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -45\/8 and -65\/1498746?\nAnswer: 5994984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 331978233 to the nearest integer?\nAnswer: 135","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*h + 5 = -7. Let n be 0 - (h - -3)\/2. Suppose n = 2*s - 48 - 74. List the prime factors of s.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 30190717 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 2004045 - -10?\nAnswer: 2004055","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -228990, -458272, -687560, -916854, -1146154, -1375460, -1604772?\nAnswer: -1834090","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: -46605528 divided by -3438\nAnswer: 13556","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let c(n) = n**3 - 6*n**2 - 5*n + 4. Let l be -2 + 10\/1 - 1. Suppose 2*k + l = 3*k. Is 9 a factor of c(k)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in s - 31*s**2 - 2*s - 5964 + s.\nAnswer: -31*s**2 - 5964","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -480493661*s**2 - 6*s + 3550904.\nAnswer: -960987322","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -0.3 - -0.2. Let x(u) = -u**3 - 3*u**2 - 2*u. Let a be x(-2). Let s = a - 1. Sort s, q, 5 in descending order.\nAnswer: 5, q, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (48\/40)\/(12*33\/(-2860)).\nAnswer: -26\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z(j) = -16*j**2 - 14*j + 14. Let p(l) = 3*l - 1 + 2272*l**2 - 2*l - 2271*l**2. Let o = 131 - 187. Calculate o*p(s) - 4*z(s).\nAnswer: 8*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 1029\/173021 or 0?\nAnswer: 1029\/173021","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -33, -40, -51, -66?\nAnswer: -85","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -39*p**4 + 711*p**3 + 15583519.\nAnswer: -156*p**3 + 2133*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 32664 - 32628. Let g(k) be the third derivative of -1\/120*k**6 + k**3 + 0*k + 0 + l*k**2 - 1\/15*k**5 + 1\/4*k**4. Calculate g(-5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*k + h = 30, 2*k + 539*h = 538*h + 12. Sort 1, k, -20, -2 in decreasing order.\nAnswer: k, 1, -2, -20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(1573) - ((sqrt(1573) + 1)*2)**2.\nAnswer: -6296 - 77*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: -69 (base 15) to base 9\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 47311 + -3242?\nAnswer: 44058","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is (4 - 1) + 15 + -14 + -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 0.06738 + -0.07738. What is the third smallest value in -5, l, -8.3?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(t) = 11*t - 57. Suppose -4*j - 2*s + 16 = -j, 3*s = 5*j - 33. Calculate l(j).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1 in 4, 1\/829, -2\/9, 0?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let d(y) be the second derivative of -y**4\/12 - 7*y**3\/6 - 7*y**2\/2 - 2*y. Let g be d(-5). Let l = 6 - g. What is the remainder when 5 is divided by l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 813415409?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Convert 3592.276g to micrograms.\nAnswer: 3592276000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*y = -a + 13, 5*y - 13*a = -10*a - 9 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Put -1\/6, -3\/67, -0.197, 0.4 in increasing order.\nAnswer: -0.197, -1\/6, -3\/67, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, 4, -11, -1 in ascending order.\nAnswer: -11, -1, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence jgog when four letters picked without replacement from bjpbbvgvbbobgb?\nAnswer: 1\/12012","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*p - 57 = 8. Let g be (-7 + p)*(-2)\/(-4). Suppose -s + 0*s = g*f + 5, 20 = -f - 4*s. Solve f = -0*v - 3*v + 6 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -22*u = -18*u - 16 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let b(y) = y**3 - 4*y**2 + 2*y - 6. Let a be b(4). Find the common denominator of (4 - a) + 6\/100 and 20 + -4 + -33 + 28 + 1088\/(-90).\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -11395 at least as big as -11390?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let u(i) be the third derivative of i**9\/63 - i**5\/30 - 8*i**2. Find the third derivative of u(b) wrt b.\nAnswer: 960*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -4.04 + 0.04. Let q = 1 - m. Let d = q + -8. Is d at most as big as 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((d\/d**5)\/(d\/(d\/((d\/(d**(-1\/4)\/d))\/d))))\/((d**(3\/2)*d)\/d)**(-1\/4) assuming d is positive.\nAnswer: d**(-39\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -304170258*j*u*v + 2013*j*v - 1162*j + 2*u*v - 4*v + 1 wrt u.\nAnswer: -304170258*j*v + 2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -105 + 54 + 86 - 51?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*i - 5*i = -15. Let v = i + -4. Suppose 0*g - 5 = -g + 2*l, -g = 3*l - 30. Solve -5*u = -4*j - g, u + j + j = -v for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (96 - 46 - 82*l - 50)*(2*l**2 - l**2 - 3*l**2).\nAnswer: 164*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -6\/7313 in -4, -2, 78, -7?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Work out 6 * 385.\nAnswer: 2310","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4 + (-1*-3*(sqrt(108) + sqrt(108)*2 + sqrt(108) + sqrt(108) - sqrt(108)))\/(sqrt(48)\/sqrt(2) - 4*sqrt(18)\/sqrt(3)))**2.\nAnswer: 144*sqrt(2) + 664","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*i + 3*i + f + 29 = 0, i - 3*f = 31. Solve -3*j - i = -5*m, 1 = 2*m + 5*j - 4 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 665*n**4*s**2 - 202*n**4*s - n**4 + 44*n**2 - 20967*n*s**2 wrt n?\nAnswer: 15960*n*s**2 - 4848*n*s - 24*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 84133372381 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let g(n) = -n + 4. Let l(f) = 2*f - 9. Let x(k) = -k**2 - 5*k + 11. Let h be x(-6). Suppose 3*r = 4*m - 59, m + 0*m = h*r + 70. What is r*g(u) - 6*l(u)?\nAnswer: u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (12\/(-9))\/(6\/(-18)). Let b(x) = x - 1. Let c be b(3). Find the third derivative of 3*o**q + o**c - 3*o**4 + 11*o**5 - 7*o**5 wrt o.\nAnswer: 240*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4892077181 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve -47 + 35 = -2*c - 8*h, -5*c - 2*h - 24 = 0 for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -406.1 - -407. Which is the third smallest value?  (a) -1\/25  (b) n  (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 40, 0, 1, 2, -5 in increasing order.\nAnswer: -5, 0, 1, 2, 40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 2 - 11633?\nAnswer: -11631","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -36 + 42. Let k be -2 - (5 - 3 - p). Solve -5*h - 6 = -k*h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 423 is divided by 91?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 2 + -7. Let m = -28 - -24. What is the nearest to 1 in 0, m, a?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -405.42749 * -0.06.\nAnswer: 24.3256494","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -23?  (a) -2\/3  (b) 4  (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -35245249 + 184855.\nAnswer: -35060394","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is (-6 - 1) + (-5 - (-3 + 3 + 4))?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -267, -548, -853, -1194, -1583, -2032, -2553?\nAnswer: -3158","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.1 minus 109546940200?\nAnswer: -109546940200.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 10\/(-165) - (2465\/825 - 3)*(-41 - -211).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: -7 * -6344\nAnswer: 44408","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*w**4 + 8*w**2 - 288*w + 63*w**3 - 422*w**2 + 198*w**2 - 5*w**4 - 6*w**2 = 0. Calculate w.\nAnswer: -1, 0, 6, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 328.183 - 328. Let r = -0.683 + g. Sort r, -9\/16, 1 in ascending order.\nAnswer: -9\/16, r, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 129, 106, 83, 60, 37?\n\"Answer: -23*p + 152","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 9 + -23. Let w = -2 - x. Suppose s - f - w = 3*f, -s + 17 = -3*f. List the prime factors of s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -60.04 + 40.04. Sort 0.3, -2, -2\/3, z, -2\/7 in descending order.\nAnswer: 0.3, -2\/7, -2\/3, -2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 199, 432, 669, 910, 1155, 1404, 1657?\nAnswer: 1914","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -12*b = -285*b - 273 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 13381 - 7231. What is g rounded to the nearest one thousand?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -2.6 - -0.6. Let m = -1.8 - r. Let u = -78 - -81. Which is the third biggest value?  (a) 4  (b) m  (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 e when three letters picked without replacement from krkreeee?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-1259)\/6295)\/((-2)\/(-8)).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(b) be the third derivative of -34*b**7\/15 + b**5\/60 - 165*b**4\/8 - 1417*b**2. What is the second derivative of r(a) wrt a?\nAnswer: -5712*a**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (6*h - 6*h + 5*h**3)*(-3*h + h - 7*h) to k*h + c*h**4 + t + x*h**2 + p*h**3 and give c.\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -658650 - -18.\nAnswer: -658632","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 52*b - 90 = 14 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: 878\/22 + 288\/18 + -3*(-2450)\/(-462)\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 29*k + 192*k + 184*k = -12150 for k.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let c(i) = -16*i**4 + 32*i**3 - i**2 - 19*i - 22. Let j(v) = 5*v**4 - 10*v**3 + 6*v + 7. Let s(z) = 4*c(z) + 13*j(z). Solve s(h) = 0.\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -118, -1, -19, -8 in descending order.\nAnswer: -1, -8, -19, -118","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 1\/2*26*(10 + 0) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -23, -16, -3, 16, 41?\n\"Answer: 3*c**2 - 2*c - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*t = -3*t - 10. Let a(q) = 2*q - 18. Let l be a(t). Differentiate 68*w**2 - 26*w**2 - 27*w**l - 6 with respect to w.\nAnswer: 30*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 10508020 + -10508019.81999993. Let l = 0.18 - z. Round l to seven dps.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -14585\/16 - -911. Let o = 28 + -52. Calculate the common denominator of q and ((-2)\/o)\/((-44)\/2871).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(c) = 3*c**3 - 21*c**2 + 8*c - 30. Let n be y(7). Let u be (18\/(-4))\/((-13)\/n). Solve u - 9 = 6*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -233 in 0.1, 1, 6, 1961?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -421 - -448. Let z(h) = -h**3 + 7*h**2 - h - 3. What is the least common multiple of q and z(6)?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 90, -4, 0, -2, -869, -10 in increasing order.\nAnswer: -869, -10, -4, -2, 0, 90","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 45 = -4*h + 61. Suppose -3*d + y = -4*y - 292, 192 = 2*d - h*y. What is the tens digit of d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 f and 1 z when two letters picked without replacement from zboofzoohobz.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 139\/936 and 73\/8520?\nAnswer: 332280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let q(z) = -z**2 + 6*z - 8. Let a be q(8). Let n = -18 - a. What is the remainder when 2\/n*(47 - -7) is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, 4, 1, -54 in descending order.\nAnswer: 4, 1, -4, -54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 0.022 + -0.01928. Round k to three decimal places.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 44 + -23. Let y be (-248)\/(-280) + (-6)\/h. Which is the biggest value?  (a) 0.14  (b) y  (c) -2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 - 1 - 1 - 7*d)*(10*d - 10*d + 3*d**2).\nAnswer: -21*d**3 + 3*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let o(s) = -5*s - 1. Let l be o(-1). Suppose -16 = l*g + 5*i - i, g = 3*i + 12. Factor g*f + f**3 + f**4 + 0*f.\nAnswer: f**3*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -319 + 514. Is 13 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 6, 3, 731 in decreasing order.\nAnswer: 731, 6, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let s(c) be the first derivative of 168 + 0*c**3 + 0*c + 0*c**2 - 5\/16*c**4 + 1\/20*c**5. Find g, given that s(g) = 0.\nAnswer: 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2056585.2 rounded to the nearest ten thousand?\nAnswer: 2060000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1 = -3*m + 4*m, -379 = -3*n - 2*m. What is the tens digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 836615257 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -160378, -637010, -1431398, -2543542, -3973442, -5721098?\n\"Answer: -158878*f**2 + 2*f - 1502","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 0  (b) 5  (c) -1583185.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let n(t) = 12*t**2 + 3*t + 2. Let f be n(-1). Let u be (-90)\/(f\/(-3) + 3). Let q = -18 + 72. What is the highest common factor of u and q?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 567\/28 - 1113\/53. What is the biggest value in b, -2, 40\/19, 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -67\/435 and 9\/50.\nAnswer: 4350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -14*f**3*m**2*u**2 - 3*f**3*m*u - 4*f**3*m + m**2*u**2 + 3*m**2*u + m*u wrt u?\nAnswer: -28*f**3*m**2 + 2*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -18165 + 18236. Let o(d) = 9*d + 1. Calculate the least common multiple of o(1) and y.\nAnswer: 710","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -358*a**2 + 358*a**2 + 10*a**3.\nAnswer: 10*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -13 = 40*m + 16 + 11. Which is the nearest to 0?  (a) 5  (b) m  (c) 0.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -p + j = -2915, 3*j + 14 = 32. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(t) = -428*t + 15184. Determine v(33).\nAnswer: 1060","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*b + 1 = -b. Let j(l) = -138 - 4*l + 3*l + 270 - 132. Let h(n) be the third derivative of n**6\/60 + n**4\/4 - n**3\/3 + n**2. Give b*h(x) - 5*j(x).\nAnswer: -2*x**3 - x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -20*w - 3*w - 13*w to f + b*w and give b.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 t and 1 f when two letters picked without replacement from {t: 3, f: 7}?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 0.324 - 0.394. Which is the closest to -9?  (a) 4  (b) -2  (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 w and 1 e when two letters picked without replacement from wwuuwewwwwuuvewreew.\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (4\/(-18))\/((-202)\/(-1212))?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0 in 0.2, -0.0445, -0.02?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 27 - 136\/5. Are -1 and v non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 14 - -592956180545.\nAnswer: 592956180559","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -317\/1290 - 50\/129. Calculate the common denominator of j and 27\/175.\nAnswer: 1050","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 l when three letters picked without replacement from {h: 2, l: 3, g: 1, y: 3, n: 3, z: 2}?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:48 PM and 3:04 PM?\nAnswer: 76","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 3015776 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -64\/20655 and -83\/36?\nAnswer: 82620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((w*(w*w**0)\/w)**(-6))**(5\/8))**25 assuming w is positive.\nAnswer: w**(-375\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 1517627 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 4 and 108.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -3, -0.5, 5, 0.2, -573?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -12022 + 31167. What is the thousands digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(y) = y**4 - y**2 + 2*y + 1. Let h(o) = 111*o**4 - 317*o**2 - 6*o - 3. Let s(m) = -h(m) - 3*p(m). Find the third derivative of s(r) wrt r.\nAnswer: -2736*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.1?  (a) -19\/4  (b) 5  (c) 1\/4  (d) 0.1  (e) 1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange ((-v - v + 3*v)*(3 - 8 - 7) + 2*v - v - 3*v)*((-4 + 4 - 7*v)*(20 + 8 - 7) + 3*v - 3*v + 3*v) to the form x*v + t + g*v**2 and give g.\nAnswer: 2016","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let t(v) = -3*v**3 - 6*v**2 + 69*v - 8. Let w(h) = 7*h**3 + 13*h**2 - 138*h + 18. Give 9*t(i) + 4*w(i).\nAnswer: i**3 - 2*i**2 + 69*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {l: 5, k: 4, i: 6}. What is prob of picking 3 l and 1 k?\nAnswer: 8\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let f(t) be the third derivative of -3*t**5\/20 - t**4\/4 - t**3\/6 + 7*t**2 + 6. Factor f(m).\nAnswer: -(3*m + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -162*w**2 - 163*w**2 + 488*w**2 - 153*w**2.\nAnswer: 10*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let g(p) be the third derivative of -25\/96*p**4 - 7*p**2 - 1\/1440*p**6 - 1\/48*p**5 + 0 - 3\/2*p**3 + 0*p. Let f(a) be the first derivative of g(a). Factor f(v).\nAnswer: -(v + 5)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 2543040 and 119520?\nAnswer: 1440","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Determine z, given that 4*z**4\/3 - 8*z**3\/3 - 16*z**2\/3 + 8*z\/3 + 4 = 0.\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -50 - 30 = -8*u - 8*u. Solve 0 = 5*z + 2*b + 26, -3*z - u = -5*b - 8 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -170 + 11*w**3 + 505 - w - 173 - 161 as g*w**2 + b*w**3 + d + v*w and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 87*g - 77*g - 680 = 0. Let l(d) = -d**2 + 6*d - 1. Let f be l(5). What is the remainder when g is divided by f\/6 + (-636)\/(-18)?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose s - 6 = 7. Suppose -80 = -s*t + 21*t. Are -13 and t non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine q, given that -q**2\/4 - 90301*q\/4 + 270921\/2 = 0.\nAnswer: -90307, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 627 minutes before 6:16 AM?\nAnswer: 7:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 630780 (base 11) in base 5?\nAnswer: 224324124","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is twenty-one quarters of a kilogram in grams?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 48429611 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand (160*l + 2600 - 2600)*(3 + 2*l**2 - 3)*(-52 - 14 + 6).\nAnswer: -19200*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 50677 in 3, -1\/3, 11\/243?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 56 - 49 - (13 + -1).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 11131 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -10 - -10. Solve 0 = -w + 4*b - 25, 0 = -i*w - w - b for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1 in -2\/5, -1\/7, 1\/11, -3?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 166245273?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Determine r, given that 4*r**4 + 242*r**3 + 3206*r**2 - 13952*r + 6144 = 0.\nAnswer: -32, 1\/2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {k: 1, s: 2, l: 1, y: 2}. Give prob of sequence sk.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence tatn when four letters picked without replacement from {a: 4, t: 7, g: 3, n: 4}.\nAnswer: 7\/765","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 453 minutes before 2:24 AM?\nAnswer: 6:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 22299 at least as big as 646667\/29?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Determine m so that -m**2\/5 + 379958*m\/5 - 36092020441\/5 = 0.\nAnswer: 189979","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -125201*g**2*i*j + 303390*g**2*j - 3*g**2 + 16*g*j + 282*i*j - 1 wrt i.\nAnswer: -125201*g**2*j + 282*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 6\/(-18)*15 - 39\/(-7).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((1 + 3 - 5)*(2 - 2 + 2) - 31 + 54 - 29)*(l**3 - 1 + 1)*(4 - 1 + 2).\nAnswer: -40*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let p(k) = 5*k - 5. Let y(t) = 6*t - 6. Let c(b) = -5*p(b) + 4*y(b). Suppose -q - 5*i = 3*q - 67, 5*q - 77 = -4*i. Suppose -q*g + 18*g - 15 = 0. Give c(g).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3088 = 145*r + 143 + 335 for r.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 151*o = 72*o - 155*o - 269*o - 5030 for o.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -134*n**2 - 94 wrt n.\nAnswer: -268*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 6450679909*o + 3*o**2 - 6450679909*o.\nAnswer: 3*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 35328250.\nAnswer: 2, 5, 251, 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let a(k) = k**2 + 25*k - 10. Let w be a(-24). Suppose 2*l + 71 - 3 = 0. Let y = l - w. Solve 5*h - 5*u + 0*u = y, -h = -5*u for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence zzf when three letters picked without replacement from zzzjzzzdzfzz.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z**(18\/7)\/(z*z\/(z*z**(4\/7)\/z)*z))\/((z\/(z*z**(-4)\/z))\/z**(-3)) assuming z is positive.\nAnswer: z**(-55\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is -1.94 times 26?\nAnswer: -50.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let x(s) = 14*s**2 - 143*s + 26. Let n(q) = 7*q**2 - 71*q + 13. Let y(p) = 9*n(p) - 4*x(p). What are the prime factors of y(16)?\nAnswer: 733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -g**4\/4 - 91*g**3\/4 + 119*g**2 - 96*g.\nAnswer: -g*(g - 4)*(g - 1)*(g + 96)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let r(k) = 10*k. Suppose -5*m - 4*t - 48 = -0*t, -m + 3*t = 2. Let b = -6 - m. Let p(q) = b*q**2 - 82 + 82. Calculate r(p(d)).\nAnswer: 20*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11*l - 903 = 8*l. What is the hundreds digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(x) be the first derivative of 13*x**8\/1680 + 3*x**4\/8 - 3*x**3 - 10. Let b(j) be the third derivative of p(j). Differentiate b(a) wrt a.\nAnswer: 52*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 233300, 466622, 699946, 933272, 1166600, 1399930, 1633262?\nAnswer: 1866596","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Express (d + 0 + 0)*(-5 + 0 + 3)*(20 + 37 + 52) + (5*d - 5*d + 2*d)*(-3 + 4 + 0) + 1 + 3*d - 1 in the form n + s*d and give s.\nAnswer: -213","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((m*(m*(m**(-12)\/m)\/m)\/m)\/(m*m**(2\/23)))\/(m*m\/(m\/(m\/(m\/m**(-2))))*m\/(m*m**5\/m)) assuming m is positive.\nAnswer: m**(-209\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let o(v) be the first derivative of -v**4\/4 - 5*v**3\/3 + 3*v**2\/2 - 3*v + 2. List the prime factors of o(-6).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(l) be the first derivative of 63 - 5\/3*l**3 + 45\/2*l**2 - 90*l. Let o(g) = 0. Calculate g.\nAnswer: 3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 62306.\nAnswer: 2, 31153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 12*s + 64 = 126 + 82 for s.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 486\/(-99) - (-3 - 2)?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (8*d**3 - 14*d**2 + 14*d**2)*(0 - 2 + 0) - d**3 + 3*d**3 - d**3 + (0*d + d - 2*d)*(3*d**2 - 2*d**2 + d**2) + 0*d - d**3 + 0*d.\nAnswer: -18*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Convert 11000101101010101 (base 2) to base 15.\nAnswer: 1eec0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 18641 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 189 is divided by 179.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 25*b - 30*b = d, 0 = -3*d + 3*b + 18 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 3280 a multiple of 80?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 0.478 - -0.062. Let x be ((-1)\/(-7*1))\/((-23)\/(-46)). Which is smaller: l or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -1 + 0. Let k be -2 - (-2 - -8)\/2. Let a be -582 + (w - (k - -2)). Round a to the nearest 100.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) 4  (b) 0.4  (c) -19  (d) -0.085  (e) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 376 + -396.3. Let v = 25.3 + u. Which is the third smallest value?  (a) 2\/11  (b) 1\/18  (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-4)\/6 + (-2)\/6. Let b = i + 2. Suppose -b = -c + 7. What are the prime factors of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(u) = -u**2. Suppose -5*j + 0*j = -3*t - 16, 4*t - 7 = j. Let k(c) = -1. Let m(x) = x - 119. Let y(l) = j*k(l) - m(l). Determine b(y(n)).\nAnswer: -n**2 + 228*n - 12996","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 511261.\nAnswer: 511261","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 122101 - -210?\nAnswer: 200011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 c when three letters picked without replacement from swsssssxsxssxwwwsswc?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (8 - (1736\/(-49))\/(-4))\/(3\/(-63))?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 92 and 22?\nAnswer: 1012","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -195 - 196 + 384 + 11*f.\nAnswer: 11*f - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from zlzwzwwzzlzz. What is prob of picking 2 l?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let t(w) = 120*w - 306. Let j be t(3). Calculate the highest common factor of j and 1350.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 49256 or 49273?\nAnswer: 49273","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 332368?\nAnswer: 2, 20773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 7 - 6.8. Let s(w) = w**3 + 3. Let x be s(0). Suppose -2*f - 5*l + 17 = -f, 0 = x*f - 2*l. What is the second smallest value in f, 0, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (0 - -4)*(-1940)\/(-40)?\nAnswer: 2, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -75 - -77. Suppose -3*v + s*h + 3*h = 6, -v + 3*h - 2 = 0. Let i = -90\/1343 + -4\/79. Which is the third biggest value?  (a) i  (b) v  (c) 1\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 2*10\/(-8)*12\/(-5). Suppose -2*u = 10*u + z*u. Solve u = 2*p + 2 - 12 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n*n**2*n*n)**(-43)\/(n**(-1\/11)*n**10*n) assuming n is positive.\nAnswer: n**(-2485\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Put -292\/7, -2\/2499, 2.7, 0 in descending order.\nAnswer: 2.7, 0, -2\/2499, -292\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((2*c - 3*c + 0*c)*(-4 + 2 + 4) - 2*c + c + 4*c)*(-2*c**4 + 4*c**4 - c**4).\nAnswer: c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 + 1 + 1)*(-2 + 2 - 7)*(3*w + 3*w - 4*w).\nAnswer: -28*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*l + 2 = 2*f, -5*f + 13 + 17 = 5*l. Suppose 2*s + 2*v = -2*s + 34, -5*s - f*v = -44. Let r be (s\/12 + 28\/(-33))*1. Sort 3\/2, r, 1\/5 in ascending order.\nAnswer: r, 1\/5, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -c - 3 = -3*y, 7*y - 6*y - 5*c - 1 = 0 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Divide -394268 by 437.\nAnswer: -394268\/437","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: -22513 (base 11) to base 8\nAnswer: -77463","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 7.3 - -1.7. Let f = j + -21. Let k = f - -12.02. Is k greater than 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 731 and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*n = 25, -5*n + 85 + 1176 = -2*q. Let c = -645 - q. Let v(w) be the third derivative of w**6\/120 + w**5\/60 - w**4\/12 - w**3\/6 - w**2. Calculate v(c).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 111\/9 - 1 - (6 - 10)*(-1)\/(-6). Find t such that 132\/7*t - h - 3510\/7*t**3 + 1503\/7*t**2 + 243\/7*t**4 = 0.\nAnswer: -2\/9, 1\/3, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 53 a factor of 4395396?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 2632785 plus 71347891?\nAnswer: 73980676","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 1827 and 21141?\nAnswer: 261","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (54 - (-6 - (15 + -3))) + (9 - -11 - 8).\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((c\/((c*c**(-6)\/c*c)\/c))\/c**4)\/(c*c**6\/c*c\/c**(-1\/6)))\/((c\/(c*c**(1\/4)*c*c))\/c*c\/c**4*c**(-1\/2)*c*(c*c**(-4)\/c)\/c) assuming c is positive.\nAnswer: c**(79\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*p + 5*w = 20, 3*p = 4*w - 0*w - 16. Suppose 2*d + 4 = 0, 4*d = -p*z + z - 5. Sort -5, -4, z in decreasing order.\nAnswer: z, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-2 - -5 - 6) + -56. Let z = p - -297\/5. Let y(j) = j**3 - 6*j**2 - 7*j + 29. Let n be y(6). Which is the smallest value?  (a) z  (b) n  (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*t + 4*t + 3 = -o, 2*o + t = 3. Suppose o*b = -0*b. Let k(v) = -v + 5. Let r be k(b). Solve r*j + 40 = -3*x, 0 = -5*x + 3*j - j - 15 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -6 + 1 + 1 + 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {c: 13, k: 1, b: 1}. What is prob of sequence kcb?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 311290358 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -76 - -43. Let w = g + 136. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 1489, 1742, 1997, 2254, 2513, 2774, 3037?\nAnswer: 3302","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 450881?\nAnswer: 450881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 178 - 176. What is the first derivative of p**3 - 10*p + 74 + k*p - 32 + 37 wrt p?\nAnswer: 3*p**2 - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve c + 27 = h, 0 = -53*c + 55*c + 88*h - 2106 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2104*f + 1050*f - 383640 = -182*f for f.\nAnswer: 115","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 s when three letters picked without replacement from assaassassas.\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -220511, -441154, -661795, -882434?\nAnswer: -1103071","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Factor 0 + 40\/3*l + 4\/3*l**2.\nAnswer: 4*l*(l + 10)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.04 * -6336500.\nAnswer: -253460","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 1346188, 1346192, 1346206, 1346236, 1346288, 1346368, 1346482?\nAnswer: 1346636","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -699 - -698. Let u(l) = -l. Let d(p) = -5*p - 1. Let w(a) = -d(a) + 6*u(a). Let c(h) = 2*h**2 - 5*h + 3. Give v*c(r) + 5*w(r).\nAnswer: -2*r**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand (29*v + 4*v - 3*v)*(2*v + 5 - 3 + 0*v).\nAnswer: 60*v**2 + 60*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -777\/2 + 389. Solve 1\/2 - 1\/2*x**2 - 1\/2*x + u*x**3 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(y) = y - 1. Let h(v) = -v - 8. Let g be h(-9). Let b be w(g). Let n(i) = i**2 - 3. Calculate n(b).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 6\/(6\/(-3)) + 5*9. What is the highest common factor of 42 and l?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -69 + 70. What is the fourth smallest value in y, -0.3, 2\/3, -2\/5?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in 83.45967mg?\nAnswer: 0.08345967","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -166154636 (base 7) in base 5?\nAnswer: -10412124313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.39 times 46925?\nAnswer: -18300.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Round -79010 to the nearest ten thousand.\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2979 is divided by 1485?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 9997 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4*a + 2 + 13*a - a + 11*a.\nAnswer: 19*a + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is ((9\/93)\/(63\/(-42)))\/(3\/3)?\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence jj when two letters picked without replacement from {j: 12, p: 7}.\nAnswer: 22\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14 = 4*o - 2*t, 2*o = 5*o + t - 8. Suppose 5*i = 5*v - 1145, 689 = -o*i + 2*v + 2*v. Round i to the nearest ten.\nAnswer: -230","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(a) = -4*a**2 + 11*a + 3. Let x(y) = 5*y**2 - 12*y - 2. Let c be ((-18)\/8)\/(12\/(-32)). Let j be -7*2*c\/(-21). Let z(f) = j*n(f) + 3*x(f). Give z(5).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {s: 2, x: 4, y: 3}. Give prob of sequence sxsy.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -82*n**2 + 32*n**2 + 24*n**2 + 25*n**2 + 17.\nAnswer: -n**2 + 17","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-80)\/(-14)*(-21)\/(-6). Let v be (8\/w)\/((-1)\/(-55)). Suppose -5*l = -5*a + 90, -a - 2*l - v = -2*a. What is the remainder when 27 is divided by a?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -3.0189 + 0.0189. What is the third smallest value in h, 7\/5, -3\/11?\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 119411973289 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.36 and -305.\nAnswer: 109.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 3 - 3 - (0 + -1). What is the remainder when (-1)\/(f\/(-26) + 0) is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: -79293 divided by -3\nAnswer: 26431","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -27 = -3*g + 3*i, 40*g + 188*i - 53 = 35*g + 194*i for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:43 AM and 1:28 PM?\nAnswer: 405","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -9.86708202 rounded to the nearest integer?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -k = -4*k + 6. Suppose -k*f + 29 = 5*s, -3*s + 5 = -5*f - 0. Suppose -6*z + 2*z + 16 = 0. Solve -z = -f*c - 10 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (12\/8*-2)\/(9\/(-15)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f(m) = -3*m + 30. Let g be (-5)\/((22\/77)\/((-12)\/35)). Calculate f(g).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -2  (b) 1.3  (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is b + ed?\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let o(d) = -d**3 + 4*d**2 + 4*d - 1. Determine o(4).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-108)\/(-24))\/(9\/22) - -18.\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 m, 1 y, and 1 w when three letters picked without replacement from ymywzbbyzybbzy.\nAnswer: 5\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.1?  (a) -9  (b) 2.4  (c) 6\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify f**(-36)\/f**(2\/81) assuming f is positive.\nAnswer: f**(-2918\/81)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 4 + 0 + (-137 - -127)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -9 - -9. Solve 0 = -y*d + 4*d - 12 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -2.64951 + -2\nAnswer: -4.64951","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -2349, -9051, -20157, -35697, -55701, -80199, -109221, -142797?\nAnswer: -180957","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1950 is divided by 394?\nAnswer: 374","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -251, -999, -2245, -3989, -6231?\n\"Answer: -249*k**2 - k - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1371*h - 1394*h + 2767*h.\nAnswer: 2*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: -1078 times 21448\nAnswer: -23120944","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -78 = -19*j + 359 for j.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1211212021020 (base 3) to base 7.\nAnswer: -11225211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort 18, 2, -13, -2, -225.\nAnswer: -225, -13, -2, 2, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -161 - -227. Let x = 476 - 311. What is the greatest common factor of s and x?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 5 and 688845.\nAnswer: 688845","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 620 minutes before 5:54 PM?\nAnswer: 7:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let k be -3*(0 + (1 - 2)). Suppose 5*w - 2 - k = 0. Suppose -4*c - 5 = -w. Which is greater: -1\/4 or c?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: -25.83*3.03\nAnswer: -78.2649","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 (base 4) in base 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put together 17121320554 and -1.81.\nAnswer: 17121320552.19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 205*o + 1318 = 498. Let y(h) = h - 75. Give y(o).\nAnswer: -79","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 10\/4*22236\/1853.\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 48 and 3216?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9 = -y - 0. Let g be 4\/3 - 6\/y. Suppose g*q - 2 = 4. What is the units digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 3 + -1. Suppose 34 = 2*l - x, 2*x - 6*x - 22 = -a*l. List the prime factors of l.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 24.1 - 26. Let j = f - -2. Suppose 2*p = 1 - 7. What is the nearest to j in -0.4, 0.2, p?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 481 minutes after 11:41 PM?\nAnswer: 7:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 678 and 678.\nAnswer: 678","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Find t, given that -2*t**2\/5 + 994808*t\/5 - 26852526 = 0.\nAnswer: 135, 497269","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 4 g when four letters picked without replacement from {c: 4, g: 15}?\nAnswer: 455\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -49 - -28. Let w be 4\/14 + (-99)\/s. Suppose w*i = -2*c + 45, c + 3*i - 20 = i. Calculate the least common multiple of 8 and c.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -212186, -424445, -636764, -849149, -1061606, -1274141, -1486760, -1699469?\nAnswer: -1912274","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 441633 to the power of 1\/7, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -100.9 + 10.9. Let q = 90.00124 + a. Round q to three dps.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 32*z**6 + 3*z**5 - 259*z**2 wrt z?\nAnswer: 3840*z**3 + 180*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let o(m) = -m**3 + 7*m**2 + 6*m + 6. Let l be o(6). Let k(u) = -6265*u - 12452. Let c be k(-2). Calculate the highest common divisor of c and l.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(o) = 821*o**4 + 415*o + 24. Let x(c) = 821*c**4 + 415*c + 32. Let a(w) = 4*r(w) - 3*x(w). Find the second derivative of a(l) wrt l.\nAnswer: 9852*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(n) = 3*n + 5. Let j(o) = o**2 - 10*o + 16. Let t be j(11). Suppose t = 4*l + 43. Determine d(l).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(v) = v**2 + v. Let q be i(-6). Let o be ((-3)\/q*-4)\/(2\/10). Let k be -1 + o + 2\/(-5). Which is the nearest to 3\/4?  (a) k  (b) -2\/7  (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 19, -8, -4, -5, 49 in decreasing order.\nAnswer: 49, 19, -4, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Sum 2 and 6163.3.\nAnswer: 6165.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -2157.6981 - -2158. Is 0 bigger than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 1033\/150690 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4235563272.\nAnswer: 2, 3, 59, 2991217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((sqrt(99) - 1*sqrt(99)) + sqrt(99))*-5 - (sqrt(99) - (1*sqrt(99) + sqrt(99))*1))\/(sqrt(81)\/(sqrt(9) - (sqrt(9) - sqrt(144)))*6))**2.\nAnswer: 704\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -6 - (-2 + 8 - 10 - 5) - 17.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*m**3 + 4*m**3 - 6*m**4 + 4*m**4 + 17*m**2)*(-3 - 1 + 10).\nAnswer: -12*m**4 + 12*m**3 + 102*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 4\/9  (b) 1.26  (c) 1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3*(6*(sqrt(39) + sqrt(39)*4*-3)\/(sqrt(6)\/sqrt(2)*4))**2 + 1.\nAnswer: 42475\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let v(u) = 2*u**2. Let i(p) = 2682*p**2 - 10*p - 9. Let l(w) = 2676*w**2 - 8*w - 7. Let t(x) = -4*i(x) + 5*l(x). Calculate t(v(j)).\nAnswer: 10608*j**4 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 42 minutes before 2:43 AM?\nAnswer: 2:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 4\/(-1 - 15\/(-18)). Let i = 42 + k. List the prime factors of i.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: 32 (base 5) to base 10\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from lojyaldjdyylaj. What is prob of sequence ddj?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -4162 - 16612?\nAnswer: -22774","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 200592743 to the power of 1\/3, to the nearest integer?\nAnswer: 585","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 23459?\nAnswer: 23459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (4\/10*-1)\/(1326\/510).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q(m) = -30*m. Let b be 7 - (5 + 3 + -4). Let c(h) = 2*h - 2*h + b*h**2 - 9*h**2 - 4*h**2. Calculate c(q(n)).\nAnswer: -9000*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand (568 - 866 + 5237)*(1 - 2*w**2 - 1).\nAnswer: -9878*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -19*s + s - 27*s - 7*s to the form i + o*s and give o.\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 0*a + 0*a + 21*a**2 - 122*a**2 to d + q*a**2 + w*a and give q.\nAnswer: -101","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Convert 4294 (base 11) to base 15.\nAnswer: 1a2e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence hh when two letters picked without replacement from {k: 5, o: 1, h: 2, a: 1}.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:16 AM and 7:47 AM?\nAnswer: 211","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -6 (base 9) in base 15?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -336 + 340. Solve -2*u - b*c + 5 = u, -5*u - 4*c = -11 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(x) be the second derivative of x**3\/6 - 14*x. Let g(j) = 2*j - 15. Calculate o(g(a)).\nAnswer: 2*a - 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let s(u) = -106*u + 33. Let d(l) = 53*l - 15. Give -9*d(q) - 4*s(q).\nAnswer: -53*q + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -3\/4189 - -305839\/58646. What is the common denominator of t and (9 + -9)\/1 + (-119)\/(-54)?\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -9, 4, 173567 in decreasing order.\nAnswer: 173567, 4, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1445288 is divided by 149.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Put -550\/7, -30.9, -1\/14 in descending order.\nAnswer: -1\/14, -30.9, -550\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*j = g - 2, 19460*g - 19459*g = 2*j + 2 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: 3296715 divided by -12165\nAnswer: -271","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 48 and 48.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*m + 980646 - 984151 + 0*m)*(0 + 0 - 1)*(0*m + 0*m + 2*m).\nAnswer: -4*m**2 + 7010*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 342 + -1242?\nAnswer: -400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2 + 2 + 12 + -16 + 7 - -3.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 - l - 3*l + 2*l)*((2 - 6 + 5)*(l + l + 0*l) + 3*l - 5 + 5).\nAnswer: -10*l**2 + 10*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence fkf when three letters picked without replacement from {k: 2, f: 4}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence vvh when three letters picked without replacement from {u: 9, z: 2, h: 4, v: 4}.\nAnswer: 8\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*f + f + 3*v - 24 = 0, 86575*f - 5*v = 86576*f - 44 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from aoioiimmmriom. What is prob of picking 2 i?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -85591\/3 - -28530. What is the nearest to c in -62, 0, 0.5, 0.1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 11296608 and 648.\nAnswer: 305008416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Factor o**3\/4 + 91*o**2\/4 - 443*o\/2 + 350.\nAnswer: (o - 7)*(o - 2)*(o + 100)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000000533283579 rounded to 7 dps?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -27 = 33*p + 105 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -10346, -10347, -10348?\n\"Answer: -y - 10345","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 45*v - 13*v + 29*v - 3294 = 0. Solve 59*m - 50*m - v = 0 for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -158*n = -152*n - 1038. Let j = -239 + n. Which is the closest to 0.1?  (a) 0  (b) j  (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -6bb28 (base 14) to base 10\nAnswer: -262872","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -5*j*z**3 - 108063*j*z**2 - 4*j*z - 539908*j + 25 wrt z?\nAnswer: -15*j*z**2 - 216126*j*z - 4*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 47768272?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from nwnrrwnnnnrnwwnn. What is prob of sequence ww?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 1687877, 1687879, 1687881, 1687883?\n\"Answer: 2*v + 1687875","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.2 - -3174305.\nAnswer: 3174305.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: 1.4 * 87347\nAnswer: 122285.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is -4.21 rounded to 1 decimal place?\nAnswer: -4.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*n - 24 = -n. Let w = -8 + n. Let t be 1 + (w - -9) + -3. Solve 31 = -t*c + 2*d, 0*c + 19 = -5*c - 2*d for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((t*t**(-2))\/t)\/(t*t\/((t*t\/((t**(1\/4)*t)\/t)*t)\/t)*t)*(t*t**(-1\/2))**30 assuming t is positive.\nAnswer: t**(47\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 17546*d + 14 = -5*a + 17549*d, 0 = -4*a + 3*d - 10 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 1251983 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let b(s) be the third derivative of s**6\/120 - 7*s**5\/60 - 7*s**4\/24 - 11*s**3\/6 - 26*s**2 - 1. Give b(8).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(f) = 49*f**2 - 19*f**2 - 24*f**2. Let o be p(-1). Let a be (-14)\/(-2) + (-16)\/8. Is o greater than a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 304 - 296. Let f(l) be the first derivative of -l**2 - 6*l + 3. What is f(y)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -22 + 33. Solve 4*t = 1 + m for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((g*g*g\/((g**(4\/5)*g)\/g)*g*g)**(-2))**(-3\/2) assuming g is positive.\nAnswer: g**(63\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -76342 + 37789309\/495. Find the common denominator of i and -71\/540.\nAnswer: 5940","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 17432 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 4 greater than 64\/23?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 79066102319 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 115780?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*f - 2*l - 12 = -4*l, -l = 4*f - 24. Suppose -2*k - f = -7*k + 4*p, -3 = -4*k + 5*p. Which is the second smallest value?  (a) -4\/5  (b) k  (c) 0.04\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 1624981, 1624982, 1624983, 1624984?\n\"Answer: t + 1624980","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert -6 (base 13) to base 9.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0*z**3 + 5*z**3 - 13*z**3.\nAnswer: -8*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*l + 3*i - 35 = -19, 0 = -4*l + 4*i - 8 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from qqntittknq. What is prob of sequence iqq?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: (-18)\/(-477) - 2875695\/(-37365)\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 788 is divided by 131?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let s(h) = 7*h - 131. Let p be s(20). Solve -p*w + 27 = 54 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(c) = 6*c**2 + 14*c + 12. Let r = 18 - -9. Suppose 3*b - 4*b + r = 0. What is the remainder when w(-4) is divided by b?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*w - g + 329 = -523, -3*w + 639 = 5*g. Calculate the greatest common factor of w and 426.\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 42084\/38577*(-11)\/26?\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -3 + 1 - (-7 + 74\/14).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 4 + -62 + 3 + (5 + 1 - (-19 - -13)).\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-4)\/(-20) + (-69)\/395. Let l = 683\/1106 + f. Calculate the common denominator of 2\/3 + 82\/12 and l.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -16*b + 10513 - 10513.\nAnswer: -16*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -256 + 255.7. What is the second biggest value in 19, 0.2, 2, v?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 3*(10\/(-24))\/(-5). Let u = 147 + -1909\/13. Which is the third biggest value?  (a) u  (b) n  (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 37.7 + 122.3. Let a = -4406879212 - -4406879372.00000372. Let u = k - a. What is u rounded to 6 decimal places?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 1435*x**3*y - 15*x**3 - 12*x**2 wrt y?\nAnswer: 1435*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 22\/12 - 4\/(-24). Suppose -5*n - 5 = 5*q, -3*q = -u*q + 2*n + 6. Suppose 2*j = -5*i - 0*j + 23, q*i + 4*j = 28. Round i to the nearest ten.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(v) = -v**3 - 7*v**2 - 2*v - 3. List the prime factors of m(-7).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((d**9*d*d)\/(d*d**(-3\/14)\/d*d))**44 assuming d is positive.\nAnswer: d**(3146\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 61, 103, 131, 145, 145, 131, 103?\n\"Answer: -7*k**2 + 63*k + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2?  (a) 1\/6  (b) 15  (c) -2\/21  (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-200)\/80)\/((-2)\/4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 2.8 times 0.02?\nAnswer: 0.056","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -16986 - 19182 = -24*b. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -39, -41, -37, -27, -11, 11?\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify z**(2\/19)*z**(-5)*z*(z*(z\/(z\/((z\/z**(-4\/9)*z)\/z))*z)\/z)\/(z*z**(1\/6)) assuming z is positive.\nAnswer: z**(-895\/342)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let m(z) = -46*z - 1. Let g(t) = t**2 - 7*t - 1. Let v be g(7). Let r be m(v). Suppose 0 = 110*h - 99*h - 330. Calculate the greatest common divisor of r and h.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -15 - -3. Let j be d\/(-1) + (0 - -1). What is the greatest common divisor of 117 and j?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 14645, 29246, 43847, 58448?\n\"Answer: 14601*k + 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z(h) = h**2 + 4*h - 14. Let q(k) = k**2 + 3*k - 13. Calculate 7*q(x) - 6*z(x).\nAnswer: x**2 - 3*x - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 26702137, 53404287, 80106445, 106808617, 133510809, 160213027, 186915277?\nAnswer: 213617565","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*r + 2*r = 8. Let l = r - 0. Suppose -3*c + l*c = 0. Solve 4*s - 5*s + 5 = c for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -112*-2060\nAnswer: 230720","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-48 - 18) + 55 + 19 + 1?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand -75418*j**4 + 75422*j**4 - 4*j**5 - 778 + 731 + (j**2 + 3*j**2 - 2*j**2)*(4*j - 2*j**3 - 4*j) - j**3 + j**3 + 2*j**5.\nAnswer: -6*j**5 + 4*j**4 - 47","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*y**3\/13 + 206*y**2\/13 - 1544*y\/13 + 2280\/13.\nAnswer: -2*(y - 95)*(y - 6)*(y - 2)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let o(j) = 2*j**2. Suppose 34*i - 10 = 29*i. Let h(a) = -140*a**2 - 179*a**i + 357*a**2. Calculate o(h(t)).\nAnswer: 2888*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -2 - -72998?\nAnswer: 72996","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*r + 4*r + 4 = 4*n, -r + 5*n = 24. Let t be 72\/21 - r\/7. Solve t*z + 12 = -0*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 505\/(-55) - (-2)\/11. Let n = x + 9. Suppose -o - 2*o + 72 = n. What is the remainder when o is divided by 7?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000000152807 rounded to seven decimal places?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1 + sqrt(252))**2 + 3 + -1 + -3.\nAnswer: 12*sqrt(7) + 252","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 3*24\/54*(-150)\/20?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f(y) be the first derivative of y**3\/3 - 2*y + 2. Let a = -1 - 2. Calculate f(a).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*q + 2*a = 21, -q + 3 = 2*a - 0. Suppose 5*f + 0*f = -90. Let g = q - f. What is the greatest common divisor of g and 60?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: 831 (base 9) to base 13\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((a*a**2\/a)\/(a*a**(-13\/5))*a**27\/a*a\/a**(-19\/4))**(1\/18) assuming a is positive.\nAnswer: a**(707\/360)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 68451015 to the nearest integer?\nAnswer: 409","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Sum 763524 and 8384.\nAnswer: 771908","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-858)\/(-208))\/((-12)\/(-14)*(-42)\/48)?\nAnswer: -11\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 9*a - 748 + 19*a - 55*a - 4*a**3 - 35*a wrt a.\nAnswer: -12*a**2 - 62","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 41118 and 219142.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let n(f) = -f**2 + f - 3. Let g be n(0). Let a be 63 - (2 - (g + 2)). Suppose -6*q + q = -a. Is q a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-2*h - h + 5*h)*(-2*h - h + 4*h) - 5*h**2 - 19*h**2 + h**2 as t*h**2 + n + u*h and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Divide 11 by -277092.\nAnswer: -11\/277092","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 44 + 4755636?\nAnswer: 4755702","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let g(l) = 7*l + 91. Let i be g(-12). Let m be (-20)\/(-72) + (i\/(-9) - -1). Let 2*d - m*d**2 - 3\/2 = 0. Calculate d.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 2\/4 + 25\/10. Suppose -t*y + 5 = -5*b, y - 3*b - 22 = 3*y. Let x(d) = d**3 + 4*d**2 - 4*d + 7. Give x(y).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 88507832?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 167687 and 67015?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is -2257.58816 plus -1?\nAnswer: -2258.58816","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*a + 5*g - 700 = 6*a, -4*g + 696 = a. Does 8 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 107, 1\/4, 0, -57\/4 in decreasing order.\nAnswer: 107, 1\/4, 0, -57\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let c(z) = -19928360*z**2 + 19928362*z**2 - 2 + 962*z + 2. Let d(t) = -3*t. Calculate c(d(g)).\nAnswer: 18*g**2 - 2886*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -38*y**2 + 21*y**4 + 27*y**4 + 36*y**2 + (-3*y**3 + 4*y**3 + 0*y**3)*(2*y + 0*y - 4*y) to the form x*y**2 + w*y**3 + q*y**4 + m + c*y and give q.\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -5.33 + 1.33. Let x be ((-9)\/(-90))\/((-4)\/10). What is the third biggest value in u, -3, -5, x?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -11 - -8. Let b be f\/12 - (-5)\/20. Solve b = 2*s + 4*o + o + 19, -3 = 4*s + 3*o for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 77 + -44. Suppose 0*q = -q - 2. Let n be 22\/(0 + (-1 - q)). Calculate the highest common divisor of y and n.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 4  (b) -4  (c) 17\/13  (d) 0.3  (e) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 312820662, 312820670, 312820680, 312820692, 312820706, 312820722, 312820740?\n\"Answer: v**2 + 5*v + 312820656","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from uqrqauae. What is prob of sequence ra?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 5333641 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 52*o**2*p**3*v**2 + 5*o**2*p**2*v**2 - 318*o**2 + 2*o*p**3 + 2*o*p + 2*p*v wrt v.\nAnswer: 104*o**2*p**3 + 10*o**2*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 497.2 - 497. Let o = -3148\/11 + 286. What is the biggest value in 1\/10, o, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of (182\/84)\/((-6)\/4) and 5?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (2824\/27181)\/((-2)\/(-7))?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -10.5 + 0.5. Let g = -2 - v. Let q = g + -7.9958. What is q rounded to 3 dps?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-18)\/2*(-220)\/396?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (3 + -1)\/((-10)\/(-15)). What is the derivative of -g - p*g + g - 3 wrt g?\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 3\/2, 2\/11, 2\/5, -2\/145 in descending order.\nAnswer: 3\/2, 2\/5, 2\/11, -2\/145","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -22*y - 1321 = -1299 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 14.74658 rounded to two decimal places?\nAnswer: 14.75","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-39)\/(-26) - (735\/(-10))\/7.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -4 + 10. Find the second derivative of -7*a**3 + 2*a - w*a + 0*a**3 + a**3 wrt a.\nAnswer: -36*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(w) = -22*w - 5*w + 0*w + 13*w - 8*w. Let p(y) = -4*y. Determine m(p(h)).\nAnswer: 88*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -11, 3, 43, 115, 225, 379, 583, 843?\n\"Answer: n**3 + 7*n**2 - 14*n - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (1\/(-2))\/(5\/30). Suppose -4492*a + 20 = -4487*a. Sort f, a, -2 in descending order.\nAnswer: a, -2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 2687881, 2687935, 2687989, 2688043?\nAnswer: 2688097","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, -22516, -4, -11, -2, 3 in ascending order.\nAnswer: -22516, -11, -4, -2, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 120 = 3*m + 105. Suppose m*i - 1228 = -g - 294, 558 = 3*i + 3*g. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 136 minutes before 2:40 PM?\nAnswer: 12:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 457 - 428. Differentiate 58 - b*n**4 + 46 + 72*n**4 + 39*n**4 wrt n.\nAnswer: 328*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 19 + -22. Let t be ((-4)\/q)\/((-6)\/36). Let u be ((-7)\/14)\/((-1)\/t). Put -1, u, 8 in ascending order.\nAnswer: u, -1, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(a) = 5*a**2 - 2. Let t be 0*3\/(-15) + -1. Let s be k(t). Solve -6*y + s*y - 3 = 0 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(z) = -3*z**2. Let r(k) = -12*k - 6. Let g(x) = 5*x - 10. Let m(j) = -j + 2. Let o(n) = 2*g(n) + 11*m(n). Let t(f) = -3*o(f) - r(f). What is h(t(s))?\nAnswer: -675*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*n = n. Suppose g + n*g = 2. Find the second derivative of 3*s + 14*s**3 - g*s**3 - 5*s**3 wrt s.\nAnswer: 42*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of (0 - 1)\/(((-62)\/(-1271))\/(16\/(-360))) and 2\/3 - (-98)\/120.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -694 - -690. Which is the third biggest value?  (a) -1\/4  (b) g  (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 4  (b) -5  (c) -144\/41  (d) 0.2  (e) -0.5  (f) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Round -555348 to the nearest 1000.\nAnswer: -555000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 - 3 + 4)*(-4 - 2 + 2)*(2 - 27 + 2)*((0 + 1 - 2)*(-4 + 2 - 2) - 3 + 3 + 3)*(18*z**2 - 10*z**2 + 2*z - 7*z**2).\nAnswer: 1288*z**2 + 2576*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 58250*f + 3 - 2 + 6 - 4.\nAnswer: 58250*f + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let a(u) = -3*u + 3. Let x be a(1). Suppose x = -7*n + 104 - 27. Let w = n + -5. Solve w = 3*h - 5*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -6134 divided by -6134.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*g = -g - 2*z + 827, z - 163 = -g. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.17 * 0.04\nAnswer: -0.0068","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Express (t**3 - t**3 + 2*t**3)*(-3 - 3*t + 3) + 8*t + 5*t**4 - 5*t**4 - t**4 as q*t**3 + b*t + n*t**4 + z*t**2 + l and give n.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let f(s) = -2*s - 8*s - 20 - 4*s. Suppose q = -q - 34. Let u(t) = -5*t - 7. Let y(w) = q*u(w) + 6*f(w). Give y(5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 5 - (-25 - -25) - (1 - (8 + 1))?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 49 + 171 = 5*f. Calculate the highest common divisor of 4 and f.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 506196 and 5504.\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 26 + -24. Suppose 3*f + i*k = 6, 0 = -0*k + k + 3. Solve 0*d = -f*d - 4 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -10?  (a) 2  (b) -0.5  (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-400)\/(49995\/25000 + -2). What is o rounded to the nearest one million?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 58954448.9999978 + -58954418. Let c = -65 + 34. Let d = w + c. What is d rounded to six dps?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -13*r + 6*r + 14 = 0. Differentiate 0 - r + 13 - 2*v**2 + v**2 wrt v.\nAnswer: -2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(z) = -z. Let k(p) = p**2 + p + 1. Let l be ((-12)\/9)\/(4\/6). Let v be k(l). Let h(x) = 0*x + v*x - 12*x. Give h(b(q)).\nAnswer: 9*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Are -492 and -500 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -8*b**2 + 7*b**2 + 7*b**3 + 19*b**2.\nAnswer: 7*b**3 + 18*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Total of -3 and 0.189886.\nAnswer: -2.810114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 2*k + 59 - 63, -3*o = -4*k + 11 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 100165?\nAnswer: 5, 13, 23, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 + 0 - 2)*(10*k**3 - 92*k**2 + 9*k**3 + 89*k**2).\nAnswer: 19*k**3 - 3*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 1.2 - 24.2. Let h = j - -27. Which is smaller: -9 or h?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 1 + (2\/1 - -1). Let d(w) = -w**3 + 8*w**2 - 2233*w + 22531. Let j be d(10). Put j, 15, x, -2 in descending order.\nAnswer: 15, x, j, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*h + 96830 - 96861 = i, -3*i - 163 = 16*h for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 614*q - 17475 + 1740 = -2533*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -2*h*i**3*x**3 - 19*h*i**3 + 6*h*i**2*x**2 - 125*h*i**2*x - 3*i**3*x**3 - 2*i*x**3 wrt i.\nAnswer: -12*h*x**3 - 114*h - 18*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -0.060443139 + 0.0605. What is c rounded to 5 dps?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(s) = 17*s - 774. Calculate o(44).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let j(x) be the first derivative of -12*x**6 + 5*x**4\/4 + 56*x**2 - 5*x - 640. What is the second derivative of j(c) wrt c?\nAnswer: -1440*c**3 + 30*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.15713 to 3 dps.\nAnswer: 0.157","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let v(g) be the third derivative of g**6\/15 - g**5\/6 + 10*g**2. What is the third derivative of v(l) wrt l?\nAnswer: 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 12325185993 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-168)\/(-9)*(-6)\/(-2). Let x = 9 - 9. Suppose h + 89 = 3*y, x*y + h - m = -2*y. Is 17 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (656\/(-246))\/((-9570)\/(-297)*(-6)\/(-10))?\nAnswer: -4\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is (-6635)\/(-30) - (-2)\/48*-4 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 793187?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 113226816?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x\/x**(-2\/13))\/(x*x**(1\/3))*(x**(2\/3)\/x)**(-6\/11)*((x\/(x*x**1))**(-47))**(-23) assuming x is positive.\nAnswer: x**(-463748\/429)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is -586ba3 (base 15) in base 14?\nAnswer: -7bd8c1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 25 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -4 - -60. Let t = p + -23. List the prime factors of t.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 18\/115, -0.5619, -3, 1\/3 in ascending order.\nAnswer: -3, -0.5619, 18\/115, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -152423 or 1706?\nAnswer: -152423","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (406\/(49\/(-7)))\/((-2)\/4). Let h = 657 - s. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 51, 57, 67, 81, 99, 121?\nAnswer: 147","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 48965754, 48965763, 48965774, 48965787?\nAnswer: 48965802","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Determine n so that -358\/9*n**2 - 176\/9*n - 64\/9*n**3 + 200\/3 - 2\/9*n**4 = 0.\nAnswer: -25, -6, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(x) = -x + 6. Let b be r(6). Suppose b = 3*a - 3*h - 42, 11 = -a - 4*h - 0*h. Let u(i) = i**3 - 10*i**2 + 8*i + 2. Determine u(a).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 3745784?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from offfffoxfffxffvffv. Give prob of picking 2 o and 1 f.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let n(g) = -g**3 + 6*g**2 + 6*g + 7. Let i = -10 + 17. Let f be n(i). Does 17 divide 23 - f\/1*1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z\/z**(-2\/29))**(-43)*(z*z*z**(-2\/27))**(-12\/13) assuming z is positive.\nAnswer: z**(-12461\/261)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 11*m + 5 = -2*t - 44, 0 = m - 2*t + 11 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1490 is divided by 97.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4*sqrt(99)*-2)\/((-2*sqrt(72))\/sqrt(8)).\nAnswer: -4*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Divide 1053 by -23.\nAnswer: -1053\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1\/4, 0.3, -4\/15 in decreasing order.\nAnswer: 0.3, -1\/4, -4\/15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) 3  (b) 0.2  (c) -121  (d) -5  (e) 1  (f) 6\/23  (g) 13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.042 times -0.076475?\nAnswer: 0.00321195","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 207*r**5 - 827*r**3*s - 47*r**2 - 2*r*s + 8*r + 1016495*s - 1 wrt r?\nAnswer: 4140*r**3 - 4962*r*s - 94","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 4470144?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 2020\/18 - 4\/18. Suppose 0 = -6*f + 2*f + d. Calculate the remainder when f is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(b) = -26 + 24 + 11*b - 8. Let k(j) = -13*j + 12. Let z(y) = 5*k(y) + 6*n(y). Let a(u) = -23*u. Give a(z(g)).\nAnswer: -23*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1 + -1*sqrt(1573) - (-1 + (sqrt(26) - (sqrt(26) + sqrt(416)))\/sqrt(2))**2.\nAnswer: -208 - 19*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let g(l) = -l**2 - l + 2. Suppose -5*c = 12 + 3. Let u be c + 2 - (-2)\/2. Let r be g(u). Solve r*s = 6*s - 12 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*l - 6 = 2. Solve 8*a - l = 7*a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (1*2\/10)\/(8\/200)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 291206?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -13 + 22. Calculate the common denominator of 99\/10 and (-2)\/s - 2838\/108.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-10)\/(-1) + (-24 + 7 - -20) + -4. What is the greatest common factor of 1737 and i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 139 - 132. Is t a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(p) be the second derivative of 0*p**2 + p**4 - 59\/3*p**3 + 15 + 3*p. Find the second derivative of c(m) wrt m.\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 26049361, 26049367, 26049373, 26049379, 26049385, 26049391?\n\"Answer: 6*h + 26049355","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1350989 = -169*x + 1343553 for x.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Express -74*d**4 - 1515677*d + 1515677*d - 3*d**3 - 5 in the form s*d + o*d**3 + b*d**2 + n + h*d**4 and give n.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 708380463?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 4 - 3887638?\nAnswer: -3887634","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Do -1 and 26\/4507 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is eighty-one halves of a year in months?\nAnswer: 486","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*m = h + 36, -5*m - h = -0*h - 60. Is m\/18*(-1758)\/(-4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1643061209 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 843.245 rounded to the nearest integer?\nAnswer: 843","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -8 + (2 - 2) + -5 - -24 - -35.\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x(z) = -6201*z**2 - 24705*z + 395. Calculate x(-4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Convert -48 (base 12) to base 15.\nAnswer: -3b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3165 is divided by 354?\nAnswer: 333","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let b(s) = -s**2 + 9*s - 7. Let y be b(6). Suppose -4*n + y = k - 14, 2*k + 2*n - 20 = 0. What is the units digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 301 - 190. Suppose -4*g = 5*o - c, -5*g + 39 = -0*o + o. Suppose 30 = o*i - 18*i. Calculate the greatest common factor of i and 75.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be ((-275)\/110)\/((-1)\/112*10). Is k greater than 38?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -16 = -2*p + 8. Suppose 2*i + 2 = -0*i. Let q be 4\/((-2)\/(-5 - i)). Calculate the greatest common factor of p and q.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 39*d - 31*d = 0 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 61 + -25. Suppose 109*r - 104*r - 3*y = 16, r - 3*y = 8. Put c, r, 4 in decreasing order.\nAnswer: c, 4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -115*a**5 + 329*a**2.\nAnswer: -6900*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let s(l) = 34*l**3 - 323*l**2 + 10*l + 16. Let t be s(8). Is -3167 smaller than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (44\/(-4))\/(3\/4*(-4)\/3).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 1307953 to the nearest integer?\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2 + 15*x**3 - 3*x + 3*x + 5*x**3 to the form u*x**3 + m + g*x**2 + p*x and give u.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -7 + 13. Let w(d) = d**2 - 3*d + 2. Does 10 divide w(g)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(i) be the second derivative of i**6\/30 - 11*i**5\/5 + 73*i**4\/2 + 506*i**3\/3 + 529*i**2\/2 + 89*i. Factor z(p).\nAnswer: (p - 23)**2*(p + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 20 + -14. Suppose -7*m + k*m = 2. Let s = 37 + -35. Which is the third smallest value?  (a) s  (b) -5  (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in three eighths of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-8 - -4 - -13)*(-2)\/(-3) + -4?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 u and 2 k when three letters picked without replacement from {j: 1, u: 1, k: 2}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*l - 9 + 3*l - l)*(2*l**4 + 4*l**4 - 4*l**4) + l**5 + 3*l**5 - 5*l**5.\nAnswer: -3*l**5 - 18*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of i**2*j**3*z**2 + 56*i**2*j**3*z + 2*i**2*z - 3*i*j**3*z + i*j**2 - j**3*z**2 + 2*j**3*z + 2*j**3 + 6094*z**2 wrt z?\nAnswer: 2*i**2*j**3 - 2*j**3 + 12188","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 67348 - 67352. Let l(o) = -8*o**2 - 4*o - 13. Let v(a) = -7*a**2 - 4*a - 12. Let u(z) = -6*l(z) + 7*v(z). Give u(q).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -6 - 3. Let y(a) = a + 16. Let x be y(b). What is the greatest common factor of x and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*h**3 + 0*h**2 + 0*h**2)*(-h + 20*h - 4*h).\nAnswer: 30*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: 91 times 16\nAnswer: 1456","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 0 - 414321?\nAnswer: -414321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify c**3\/(c*c**(1\/8))*(c\/(c\/(c*c\/c**(-4))))\/c**9 assuming c is positive.\nAnswer: c**(-9\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -25 - -68. Suppose 142 = -5*r - o. Is (-1)\/3*(-2 + r) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1135338 is divided by 66784.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: -19 + (-46)\/(-230)*290\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 1 + -1.2. Which is the nearest to -6?  (a) -4  (b) -1  (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 1006, 1001, 996, 991, 986, 981?\nAnswer: 976","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((0 + 0 + sqrt(5) - (sqrt(5) + sqrt(200)\/sqrt(10)) - ((sqrt(320) + -1)*3 + sqrt(320)))*-2)**2.\nAnswer: -816*sqrt(5) + 23156","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let s(d) be the first derivative of 3*d**5\/5 + 93*d**4\/4 + 249*d**3 + 135*d**2\/2 - 4050*d - 1069. Factor s(t).\nAnswer: 3*(t - 2)*(t + 3)*(t + 15)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*w = 18448 - 197958. Let q = w - -25278. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -6 - 1 - (6 + 16 - 30)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -349*y + 373*y = 0 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*j = -3*j - 4. Let u be (14\/28)\/(j\/240). Suppose -6*x + u = -3*x. What are the prime factors of x?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 6757 a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 8.08 + 0.5. Let s = 3.58 - a. Sort s, 7\/3, -0.5, -3 in ascending order.\nAnswer: s, -3, -0.5, 7\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be ((-975)\/(-40))\/39 - (-1)\/((-16)\/(-6)). Let u(t) = -51*t - 2. What is u(l)?\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(y) = -5*y**2 - 4*y. Let g(o) = -468*o + 1. Calculate g(b(c)).\nAnswer: 2340*c**2 + 1872*c + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 9 + -11 + (3 - -1).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*(sqrt(832) + 1) + 4)**2 + 5.\nAnswer: -48*sqrt(13) + 846","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let v(t) = 17*t - 1. Determine v(-3).\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let b(l) = 2 + 9 + 5*l**2 + 6 + l + 1745*l**3 - 12. Let w be b(-5). What is w rounded to the nearest 100000?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*q + 31 = 3*j, 5*j + q + 2*q = 39. Suppose -j*r + 260 = -919. What is the remainder when r is divided by 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 + 1 - 2)*(-m + m + 2*m**4) + 0*m**4 + 2*m**4 - m**4 + (11*m**2 - 7*m**2 + 4*m**2)*(m - 6*m + 3*m)*(-1 + 1 + 2*m).\nAnswer: -27*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, 3, 12\/11, -3 in descending order.\nAnswer: 3, 12\/11, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 222552 - 2?\nAnswer: 222550","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 67766748 to the nearest integer?\nAnswer: 408","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Express (b - b - b + (-7*b + 26 - 26)*(4 + 0 - 5) - 2 + 0*b + 0*b + 3*b + 2 - 2 - 5*b)*(-b - 3*b + 5*b) as o*b**2 + l + i*b and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 20 a factor of 97433631?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -207*g = -51*g + 3276 for g.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let k(o) be the first derivative of -o**4\/12 + 4*o**3\/3 + 13*o**2\/2 - 16*o - 13. Let y(z) be the first derivative of k(z). Give y(9).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 198049 to the power of 1\/3, to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let t(c) = 3*c + 4. Let o be t(3). Let v(z) = -z**2 + 14*z - 11. Let k be v(o). Suppose 4*m - 5 = 7. Calculate the highest common divisor of k and m.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((a**2\/a)**18\/(a\/(a*a**(-2)))**(-28))\/((a*a**(-6\/5)\/a)\/(((a\/(a**(10\/3)*a))\/a*a)\/a))**(16\/7) assuming a is positive.\nAnswer: a**(7018\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2*(-1 + sqrt(125))**2 - (5 + sqrt(5) + sqrt(80))**2*-3.\nAnswer: 198 + 170*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1818026388.\nAnswer: 2, 3, 179, 282127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 14338*r*y - 13*r + 3*y + 4885417 wrt r?\nAnswer: 14338*y - 13","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let d(l) = -l**2 + 18*l + 42. Let m be d(20). Solve -3*k - 2*j + 13 = 0, -4*k + m = -7*j + 2*j for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 142*p**3*t**3 + 4500*p**3*t**2 - 2*p**2*t**3 + 80*p**2*t - 2*p**2 + p*t**3 - 116*p*t**2 wrt p?\nAnswer: 852*t**3 + 27000*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: -6202+2630044\nAnswer: 2623842","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 19 - 0.9. Let o = x - 18. Which is the closest to o?  (a) 3\/2  (b) -3\/2  (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -1, -2, -16527876 in descending order.\nAnswer: -1, -2, -16527876","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 2 - -6. Let i(g) = g**3 - 9*g**2 + 8*g + 5. Let u be i(x). Suppose m + 105 = u*r - 2*m, 0 = -5*r - 3*m + 135. Is r a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in one tenth of a century?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in -4, -8\/15, -2\/3, -3\/5, 0.3, 6\/13?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 1.949 + 0.051. Sort 0, t, 27\/4 in decreasing order.\nAnswer: 27\/4, t, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many kilograms are there in eighteen fifths of a tonne?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 24857835113 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 49*v = 198*v - 50536181. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 3*u + u**2 - 6*u**3 - 2 - 2 + 8*u**3 - 10*u in the form i*u**2 + t*u**3 + n + r*u and give n.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let b(q) = -2*q + 7. Let w be b(3). Let t = -174.16 + -47.74. Let n = -222 - t. What is the closest to n in -2, -13, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 4053 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -12 + 20. Let q = 13 - z. Solve 0 = -q*a + 2*r - 10, -a - 2*a = -4*r + 6 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 1021, 1024, 1027, 1030, 1033, 1036?\n\"Answer: 3*h + 1018","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in one quarter of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -4  (b) -20.7  (c) -216\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, 167, 0 in descending order.\nAnswer: 167, 3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -19\/4710 and -2\/2205.\nAnswer: 692370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is d in -2*d**2\/3 + 238*d\/3 - 236\/3 = 0?\nAnswer: 1, 118","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 32 = -l + 4*n, 50 - 11 = -2*l + 3*n. Which is bigger: -2 or l?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:14 AM and 8:56 PM?\nAnswer: 702","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (((-38)\/(-3))\/1)\/(60\/(-90)). Let c = n - -17. Which is greater: -4 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*i = i - 3. Let g(n) = n**2 - n - 1. Let f be g(i). What is the remainder when 17 is divided by (-6)\/(-3) + f - -5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 38\/3 + -1 + 24\/72. Do y and 18 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 2627952 to the nearest integer?\nAnswer: 138","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Does 7 divide 2\/4*1120\/20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 4450285581?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -50*v**2 - 62*v - 6743.\nAnswer: -100*v - 62","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -879*u + 46156 + 21209 = 6714 for u.\nAnswer: 69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of ((-76)\/76)\/(3\/(-9015))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-6120)\/144)\/((-2)\/(-4))?\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from pipqipphpppiippph. Give prob of sequence ihh.\nAnswer: 1\/510","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7 = -2*r + 7. Let q(x) = x**3 - 8*x**2 + 7*x + 8. Let f be q(r). Suppose 727*c = 718*c. Solve c = 3*g - f*g + 20 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 26542.8202 - 26221.8201601. Let o = -321 + m. What is o rounded to six dps?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {k: 1, a: 2, l: 1, x: 2, z: 2}. What is prob of picking 1 z, 1 l, and 1 x?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1\/8, 47.39, 9\/17, 4 in increasing order.\nAnswer: -1\/8, 9\/17, 4, 47.39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from lyflfyyfqqql. What is prob of sequence yffl?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 540683.1km in centimeters?\nAnswer: 54068310000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 8*y - 122 + 82 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2789.33 micrometers to millimeters.\nAnswer: 2.78933","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 1 + -0.6. Let d = 1.7 - 4.1. Let u = 1.4 + d. Which is the nearest to u?  (a) 4  (b) m  (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(h) = 4*h - 6. Let o(u) = 8*u**2 + 4*u. Suppose 11 = 4*l - 5*g, -3*l = -0*l + 5*g + 18. Let b be l\/(-3) + 40\/(-30). Let w be o(b). Determine s(w).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 11790 and 3.\nAnswer: 11790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 11183 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let c(u) = 11*u**2 + 17*u. Determine c(-2).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 632?\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 67266 is divided by 319?\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {k: 3, e: 4}. Give prob of sequence eee.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 5 - 7. Let h = 6.47 - -0.23. Let i = h - 7. What is the biggest value in g, 0, i?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 9 a factor of 901?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5425*y - 11422 = 5691*y + 11454 for y.\nAnswer: -86","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let n(k) be the third derivative of 0 - 1\/8*k**4 - 14*k**2 - 1\/3*k**3 + 1\/60*k**5 + 0*k. Let g(s) = 2*s + 1. Let q be g(1). Determine n(q).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(k) = k**3 + 2*k**2 + 2*k + 2. Suppose -y - 15 - 4 = 3*v, -3*v = 3. Let x = 14 + y. Determine j(x).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 11110010011110011101 + -1100011?\nAnswer: 11110010011100111010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*o - 2*g + 24 = 0, -5*o + g - 12 = 5*g. Let x be 1*o\/(3 + -7). Let n(q) = 13*q**2 + q. Give n(x).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {i: 3, v: 13}. Give prob of sequence vi.\nAnswer: 13\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let u(q) = 17*q**2 + 35*q. Let j(m) be the first derivative of -3*m**3 - 9*m**2 - 14. Let d(c) = 5*j(c) + 3*u(c). Find the second derivative of d(g) wrt g.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 13479 and 29.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -156 + 221. Suppose 0 = -6*o + 5*o + 4*f - 4, 54 = 3*o - f. What is the smallest common multiple of b and o?\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -135 + 134.7. Put -1\/2, 8, 1, m in decreasing order.\nAnswer: 8, 1, m, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -7 + 7.06. What is the third smallest value in -2, w, 2\/15?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 1442 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 420 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*g - 4*g - 5*g)*(-24*g - 404 + 404).\nAnswer: 120*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is c + 13?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3*(-4*(sqrt(242) + -1) + (sqrt(242)*-1 - sqrt(242)) + 1 + 0 + 1*sqrt(242) + 2))**2*-4.\nAnswer: -219564 + 27720*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -4.9116641258 + -0.6583353922. Let u = -5.57 - h. What is u rounded to seven decimal places?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {a: 1, t: 7, b: 1, k: 7}. What is prob of sequence aktt?\nAnswer: 7\/1040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 16908 and 1032.\nAnswer: 1454088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-2*(sqrt(1029) + sqrt(1029)*2))\/(sqrt(28)\/(sqrt(36)\/sqrt(81))))**2.\nAnswer: 588","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {d: 12, c: 6}. What is prob of sequence ddcd?\nAnswer: 11\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -4\/5  (b) -0.2  (c) 9483\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let o(p) = -4*p + 8. Let d(j) = -j**2 + j - 1. Suppose -36*i + 32 = -68*i. Let r(y) = -3*y**2 - y. Let b be r(1). Let f(a) = b*d(a) + i*o(a). Factor f(t).\nAnswer: 4*(t - 1)*(t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (-2219)\/(-7) + (-3)\/((-3)\/2)?\nAnswer: 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -56397.4 + -1896.31?\nAnswer: -58293.71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -10?  (a) 5  (b) 3  (c) 2\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 849787351?\nAnswer: 7, 17342599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 3 + -11\/3. Let g = -518 - -517.7. Which is the closest to n?  (a) g  (b) -1  (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1 (base 9) to base 2\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -z = 5*v - 1893, 5*z + 3 + 7 = 0. Does 11 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 483\/42 - 1\/(-2). Solve 4*b - 4*p + 8 = 0, -2*p + r = 3*b + p for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 64 - 64. Is f < 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -11437150*d**2 + 6*d.\nAnswer: -2*d*(5718575*d - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3*3*(-1 + (sqrt(1377) - (sqrt(1377) + -3)**2) + sqrt(1377))*-4.\nAnswer: -49932 + 2592*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence zset when four letters picked without replacement from {t: 2, z: 1, e: 1, s: 2}?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 482*j - 477*j - 740 = 0. Which is greater: 2 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -57 in 2\/3, -5, -1, 0.3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*m = 3*m. Solve -2*d + 3*x - 21 = d, m = -3*x + 12 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 37060 is divided by 11412.\nAnswer: 2824","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -102*x = -97*x - 25 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -136 + 4?\nAnswer: -132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let u(o) = 66*o**3 + 33*o**2 + 31. Let r(w) = -132*w**3 - 69*w**2 - 64. Let y(q) = 2*r(q) + 5*u(q). Let p(x) = 5*x**3 + 2*x**2 + 2. What is -27*p(d) + 2*y(d)?\nAnswer: -3*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:43 AM and 11:46 AM?\nAnswer: 303","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 95*p**3 + 143 + 146 - 378 + 89.\nAnswer: 95*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 338679278*a**3 - 278424087*a?\nAnswer: 2032075668*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Express -33*t + 57*t - 34*t**2 - 8*t**3 - 24*t - 2*t**3 as y*t + g + b*t**2 + l*t**3 and give b.\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 12668809913 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -209 + 110 - 3*i**2 + 109.\nAnswer: -3*i**2 + 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Divide 154441 by 22063.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 47, 24, -35, -148, -333, -608?\n\"Answer: -3*r**3 - 2*r + 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h(d) = 2*d - 4. Is h(4) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 1385 and 8555?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let g(n) = -2*n**3 - 12*n**2 - 20*n - 22. Let k(i) = i**3 + i**2 + 2*i + 2. What is -g(w) - 12*k(w)?\nAnswer: -10*w**3 - 4*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-927 - 1314 + 1285)*(-11*b - 2*b + 2*b).\nAnswer: 10516*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 70 - 36 - 44 - y.\nAnswer: -y - 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Are -749 and -749 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2 = 2*x, 4*t + 4*x = -x + 3. Differentiate 2*c**t + 3 + 2*c - 2*c - 3*c**2 wrt c.\nAnswer: -2*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 34861126*i**3 + 742*i + 11694.\nAnswer: 209166756*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let o(p) = p**2 + 19*p + 35. What is o(-10)?\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let x(c) = -63*c. Let o be x(7). Let t = 439 + o. Does t = -8\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4 divided by 746620?\nAnswer: 1\/186655","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 184 a factor of 1438229192?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -26\/33 + 4\/33. Let j be 1 + 0 - (-12)\/(-4). Put j, w, -1 in decreasing order.\nAnswer: w, -1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -5  (b) -3  (c) -4  (d) -256122\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*u + 5 + 20 = 0, 0 = -2*c + 2*u + 32. Suppose w + c + 25 = 0. Calculate the smallest common multiple of 22 and (-1)\/(2*1\/w).\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6*z + 1 = 5*i - 4*i, -4*i + z + 4 = 0 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Express -3*o**2 + 2 - 3 - 16*o - 4*o**3 + 18*o in the form s*o + j*o**2 + v + d*o**3 and give j.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*c - 5*c = 0. Suppose a - 17 = -p + 5*a, c = 4*a + 8. What is the greatest common divisor of p and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -37, -84, -131, -178, -225, -272?\n\"Answer: -47*k + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.4, 70, 4.742, -1 in ascending order.\nAnswer: -1, -0.4, 4.742, 70","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4474125463.\nAnswer: 25121, 178103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let o(d) = -11*d**3 + 8*d + 6. Let v be o(-3). Let u = v + 541. What are the prime factors of u?\nAnswer: 2, 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 15500 and 16500?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -4246969*n**3 + 6464205*n**2.\nAnswer: -25481814","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -59629340700020 from -3.\nAnswer: 59629340700017","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let o(a) be the first derivative of 1\/2*a**2 + 2*a**3 + 1 - a. Calculate o(1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-320)\/(-80)*(-6)\/(-8))\/(3\/(-22))?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -137 - -1874.98.\nAnswer: 1737.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is seven quarters of a litre in millilitres?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many micrograms are there in 17\/4 of a milligram?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 5240061324 - 5240109075.200048. Let o = h + 47745.2. Let w = o + 6. Round w to 5 decimal places.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(u) = u + 10. Let l be s(-6). Solve -18 = 2*t - 4*m - 0*m, 9 = l*t + m for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.1773 less than -96.2?\nAnswer: -96.3773","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Sort -12, -2, 25, 2, -70, -3 in descending order.\nAnswer: 25, 2, -2, -3, -12, -70","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1.4*-29.\nAnswer: 40.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 283 is divided by 41.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is one tenth of a litre in millilitres?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q(f) = -f**2 - 4*f - 3. Let p(t) be the first derivative of -t**3\/3 - 3*t**2\/2 - 3*t - 9. Give -3*p(g) + 2*q(g).\nAnswer: g**2 + g + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 24 and 1200.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 2266, 4429, 6592, 8755, 10918, 13081?\n\"Answer: 2163*b + 103","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 9\/(-2)*22\/(-3). Find the common denominator of (c\/(-36))\/((-2)\/(-42)) and (-595)\/(-56)*(-1)\/2.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*u - 85*u - 27*u)*(31*u - 17*u + 93*u).\nAnswer: -12412*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 218984 + -392984. Let n be -3 - ((3 - 6) + m). Suppose 4*a - 6*a = n. Round a to the nearest ten thousand.\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 28 and -204.77552.\nAnswer: -5733.71456","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let j(k) = -7536 + 2*k + 3770 + 3766. Let g(r) = 1707*r + 1. Calculate j(g(o)).\nAnswer: 3414*o + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -18 + 23. Suppose -b - 515 = -6*b. Suppose -j*z - x + 58 = -60, 5*z - b = 4*x. What is the remainder when 88 is divided by z?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 32 + 25. Suppose 132 = 5*b - 3*x, g = 2*b - 2*x + 5*x. Calculate the remainder when b is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(u) = -5*u**3 - u - 1. Let w be p(-1). Suppose -2*j - 30 = -w*j. Calculate the remainder when j is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*u = 2297*n - 2299*n - 27, 5*u = -2*n + 3 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 6560731 is divided by 3280348.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 5\/4 of a gram in milligrams?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from iiiigigggiiig. What is prob of picking 3 g?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: -25333 (base 6) to base 16\nAnswer: -ed9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 13 + 143134406?\nAnswer: 143134422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 41 - 18. Let h = -15 + r. What is the units digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0014636 to three decimal places.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let a(y) = -5*y**2 + 12*y - 6. Let c(s) = -s**2 + s - 1. Let j(w) = a(w) - 4*c(w). Is 5 a factor of j(6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (226 + 22 + 113)*(-36*m - 13*m + 11*m) to the form x*m + i and give x.\nAnswer: -13718","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-5 + 3 + 5)*(-6*g**2 + g**3 + g**3 + 168 - 169) to the form s*g + a*g**3 + t*g**2 + k and give t.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3599544?\nAnswer: 2, 3, 13, 83, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 7 a factor of ((-231)\/(-4))\/((-21)\/(-56))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -393341*n**3 - 4*n**2 - 21255521?\nAnswer: -1180023*n**2 - 8*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 7359 and -4?\nAnswer: -29436","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 3 + -5 - (0 + -311)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 124*d - 51145113 = -368*d - 9692145. What are the prime factors of d?\nAnswer: 2, 103, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 19365 is divided by 23.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 l and 2 r when three letters picked without replacement from rrrrrrlrrlrllrrllrr.\nAnswer: 156\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -k + 3*k - 18. Let n be (774\/156)\/(5\/130). What is the greatest common divisor of k and n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(w) = -19*w**2 - 4*w - 170. Let o(n) = -255*n**2 - 54*n - 2211. Determine -2*o(j) + 27*v(j).\nAnswer: -3*j**2 - 168","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Round 4.2396 to 1 dp.\nAnswer: 4.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many kilograms are there in sixty-four fifths of a tonne?\nAnswer: 12800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -2 - (9 - (31 + 0 + (-51 - -45))).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (635 - 6421*y - 403 - 233)*(3 - 3 - y)*(2*y**3 - y**3 - 3*y**3).\nAnswer: -12842*y**5 - 2*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 26, 45, 62, 77, 90?\nAnswer: 101","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 4313 - -2?\nAnswer: 4315","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Does 518 divide 11528608?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*h + 86 = -58. Let n = h + -26. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-36)\/336)\/((-42)\/112).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5*3*((sqrt(1300) - (1*(sqrt(1300) + 4))**2) + -5 + (sqrt(1300) + 2)*-1*-4).\nAnswer: -19695 - 450*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 3*t**4 + 24318051*t**3 - 741501429*t**2.\nAnswer: 72*t + 145908306","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is (4 + -1)\/(5\/20) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1414249 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 129 divided by 1?\nAnswer: 129","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 863966*q - 863969*q - 43 = 2*o, -3*o = q + 12 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.4 * 161.\nAnswer: 64.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 e when two letters picked without replacement from qsnsseshstessss.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -125950\/43 + 2930. Find the common denominator of f and 25\/8.\nAnswer: 344","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 2640 and 618750.\nAnswer: 4950000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 56973, 57237, 57501, 57765, 58029, 58293?\n\"Answer: 264*h + 56709","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 308649*h - 308558*h + 11830 = 0 for h.\nAnswer: -130","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is -930 - 1?\nAnswer: -931","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-y**2 + y**2 - y**2)*(-5 + 10 - 1) + (4 + 3*y - 4)*(-y - y + 5*y).\nAnswer: 5*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2 = -i - 2*y, -i - y + 1 = 2*i. Suppose 0*u - u = i. What is the remainder when 95 is divided by 2*(2 + u + 6)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3253*y**2 - 20999*y**2 - 11756*y**2.\nAnswer: -36008*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let q(x) = 12*x**2 - 9*x - 32. Let v = -75 + 84. What are the prime factors of q(v)?\nAnswer: 859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 111\/15 - 2\/5. Let o = f - 4. Suppose -2*r + 9 = -1, o*r = 3*s - 51. Is 14 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 261, -1830, -5309, -10170, -16407, -24014?\n\"Answer: j**3 - 700*j**2 + 2*j + 958","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*g + 0 = l + 499, 5*g - 829 = 3*l. Let h = g + 24. Is (-2 + 5 - 3) + h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -0.0554 + -1.9446. Let q = -117 + 117.3. Which is the nearest to 2\/9?  (a) q  (b) -3  (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -4 times 4426.64?\nAnswer: -17706.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4*sqrt(216))\/(sqrt(72)\/(-2*sqrt(6))).\nAnswer: 24*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1.3, 0.028, 0, -0.4 in ascending order.\nAnswer: -1.3, -0.4, 0, 0.028","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let c(s) be the second derivative of 3*s + 0 + 15\/2*s**2 - 10\/3*s**3 + 5\/12*s**4. Factor c(a).\nAnswer: 5*(a - 3)*(a - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-1)\/((-6)\/4*(2\/(-24))\/(46089\/4552))?\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put -35, -6, -24, 23 in decreasing order.\nAnswer: 23, -6, -24, -35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 divided by -1893486?\nAnswer: 1\/946743","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let b(a) be the second derivative of -a**7\/7 + 107*a**5\/20 + a**4\/6 + a**3\/3 - 1755*a**2\/2 - 18*a - 212. Find the third derivative of b(m) wrt m.\nAnswer: -360*m**2 + 642","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0004752139968 rounded to five decimal places?\nAnswer: -0.00048","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 15*h**2 + 10*h**2 + 42*h**2 + 1.\nAnswer: 67*h**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -8.13 - -8.13000569. Round j to six decimal places.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*s - 4*l = 16, -5*s - 8*l - 87 = -8*s - 50 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is -0.2 at most as big as 18\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 1564 rounded to the nearest one thousand?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many micrograms are there in 4460.675 milligrams?\nAnswer: 4460675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -10158*c**5 + 11*c**3*t + 146*c**2*t + 222*t wrt c?\nAnswer: -609480*c**2 + 66*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Sort -15, -22, -16.\nAnswer: -22, -16, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 0.937566 <= 342?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let o(k) = -7*k - 4. Let a(m) = 8*m + 5. Let r(d) = 5*a(d) + 6*o(d). Let v be r(-2). Suppose -3*p = -4 - v. Solve 4*x + l = 10, 0*x + 13 = p*x - 2*l for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14*x + 36*x - 66 = 0. Solve -4*n = -x*b + 16, 0 = -5*n + 8 - 28 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (96*k - 323*k**4 - 44*k - 52*k)*(-4*k - k + 4*k + (3*k + k - 3*k)*(1 + 1 + 0) + (-14 - 15 + 18)*(2*k + k - k)).\nAnswer: 6783*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Express -23*p**3 - 26*p**3 + 3*p + 74*p**3 - 2 - 25*p**3 + 2*p**4 + 3*p**2 in the form u*p**4 + g*p**2 + h*p + s + l*p**3 and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4 + -34943729.\nAnswer: -34943725","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((3 - 3)\/(-4))\/(-1)*-1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -41.95 + 41.95834. What is n rounded to two decimal places?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11*a = 16 - 38. What is the third derivative of 116*f**3 + 77*f**a - 112*f**3 + 80*f**3 wrt f?\nAnswer: 504","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 15965*k - 70537 - 323430 - 88082 = -66959 for k.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let h(c) = -67*c + 220. Determine h(3).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (349156312\/11)\/((-155)\/10). Let q = 2047842 + i. Let s = 10\/341 - q. Find the common denominator of 87\/2 and s.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2\/3521 less than or equal to -36?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 89.94018 millilitres in litres?\nAnswer: 0.08994018","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n be ((-45)\/90)\/(2\/15)*-8. What is the greatest common factor of n and 534?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 34319 from 202.67.\nAnswer: -34116.33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (-23)\/(3\/5*(-1)\/3)?\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 11 (base 3) in base 11?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 79356.\nAnswer: 2, 3, 17, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Round 36630.78396 to the nearest 100.\nAnswer: 36600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 5130?\nAnswer: 2, 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*c = d + 14, 28 = c + 4*c - 4*d. Solve 4*a + 0*a = -c for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 318 and 139814.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*x + 8 = -18. Put 3, 4, x in descending order.\nAnswer: 4, 3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence udd when three letters picked without replacement from djddquhddhdhhqjhq?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 0 - (-3 + -4 - -7 - -2).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 2763, 2773, 2797, 2835?\n\"Answer: 7*z**2 - 11*z + 2767","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1\/33 in -0.2, -5, -3, 325?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Express (5*u + 3 - 3)*(-2 + 2 - 2)*(9 - 17 - 15) + 2*u - 7*u - 3*u in the form z + d*u and give d.\nAnswer: 222","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 491112619 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let v(f) = -f**3 - 57*f**2 - 271*f - 147. What is v(-5)?\nAnswer: -92","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 34 + -39. Let o(m) = 9*m**3 + 5*m**2 - m - 5. Let r(z) = -5*z**3 - 3*z**2 + z + 3. Calculate k*r(b) - 3*o(b).\nAnswer: -2*b**3 - 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 500033.\nAnswer: 47, 10639","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let w(q) be the third derivative of q**5\/60 - 4*q**2. Let p(u) be the first derivative of 215*u**3\/3 + 776. Give p(w(j)).\nAnswer: 215*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of (-13 - (2 + -5) - -3) + (-524433)\/(-73780) and -143\/1488.\nAnswer: 7440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.427 - 1.168815244.\nAnswer: -1.595815244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many tonnes are there in 494.824ng?\nAnswer: 0.000000000000494824","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2 + 740*o**2 + 6 - 8 + 298*o**2.\nAnswer: 1038*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -0.9 + 1. What is the third biggest value in 2\/7, x, -6\/11?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -89 - 163 + 12 - 427 + a + 0*a.\nAnswer: a - 667","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*y - 4*u + 42 = 0, -102525*u + 102528*u + 26 = -y for y.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let t(i) be the second derivative of -9*i**5\/20 - i**2 - 159*i - 2. Let q(v) = -9*v**3 - 2. Calculate -4*q(m) + 3*t(m).\nAnswer: 9*m**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let q(o) = 4*o - 2. Let g(r) = -8*r + 5. Let s(a) = 3*g(a) + 5*q(a). What is the derivative of s(v) wrt v?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 31.8 + -37. Let x = -4.7 - w. Let h = -2.1 + 2. Which is the smallest value?  (a) h  (b) -0.2  (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 83435+3037\nAnswer: 86472","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: (18 - -2) + (-13 - -5) + 0\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-3*4\/(-36))\/(95\/171). Let s(j) be the first derivative of 12 + 4\/5*j + f*j**2 + 2\/15*j**3. Factor s(w).\nAnswer: 2*(w + 1)*(w + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -6 - -4. Let t be 6*l\/(-1*6). Suppose r - 68 = -t*o - o, -o - r + 26 = 0. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2*(((sqrt(4) - (sqrt(4) + sqrt(484)*1))*-4)\/(sqrt(16)\/(sqrt(640)\/sqrt(5))) + -1).\nAnswer: -352*sqrt(2) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 5569 - 5569.3. What is the closest to j in -1, -0.01, 3\/16?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 6*u + 16 - 16 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -569*x - 15558076076 + 1044024076. Round x to the nearest 1000000.\nAnswer: -26000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 3 + -16*(-1 - 0) - -3. Let i = -22 + k. Suppose 50 = -i*c + 5*c. List the prime factors of c.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from xindduunuddd. What is prob of picking 2 n, 1 d, and 1 x?\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 5.363, 94, 0.2, 1, -0.03?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-1170)\/(-208) - 3\/(-8). Let a = -16701\/8 - -2099. Calculate the common denominator of a and 21\/q*12\/63.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -18926, -37679, -56432?\n\"Answer: -18753*w - 173","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 94806580 and 279528?\nAnswer: 568839480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let p(h) be the second derivative of -3\/20*h**5 + 4\/5*h**3 + 1\/70*h**7 + 1\/50*h**6 + 3*h + 0 - 1\/20*h**4 - 6\/5*h**2. Factor p(k).\nAnswer: 3*(k - 1)**3*(k + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 404315 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -726.6178 rounded to the nearest integer?\nAnswer: -727","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 12814839009 + -12814838933.999999192. Let x = 75 - d. Round x to 7 dps.\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence mr when two letters picked without replacement from amramaamammaaaamaa?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 63\/(-6)*(-12 + (-210)\/(-15))*1.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*s = -5*s - 26. Solve u - 4*z = -u - 18, 2*z = 5*u + s for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(d) be the second derivative of 950*d**7\/21 + 509*d**3\/6 + 259*d + 4. What is the second derivative of s(p) wrt p?\nAnswer: 38000*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -64 in -0.1, 0, 0.3, 0.03?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let s(c) = -c**2 + 9*c + 3. Let b be s(9). Suppose 8*f - 5*f = 0. What is the first derivative of 3 + f*u - b*u + u + 0 wrt u?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(q) = -q + 45. What is the remainder when 292 is divided by y(-15)?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 1 + 2. Suppose 0 = -0*k - c*k + 9. Let u(i) = -i. Let t(n) = -n**2 + 3*n. Calculate k*u(g) + t(g).\nAnswer: -g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 732293\/12 or 2?\nAnswer: 732293\/12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 3710 in -4, 46, 1\/7, -0.2?\nAnswer: 46","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (7*z + 4*z + 2*z)*(0*z - 2*z + 5*z).\nAnswer: 39*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -29*d + 15*d + 1363*d**2 + 14*d.\nAnswer: 1363*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Does 15 divide 4876?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*p - 3 = 1, 0 = 2*q + 5*p + 47. Let v = -61\/3 - q. What is the nearest to -0.1 in 0, v, 0.5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-2)\/(-7)*((-12054)\/(-30996))\/(2\/207).\nAnswer: 23\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((z*z\/(z**(-1\/7)\/z)*z)\/z*z*z)\/z**(-10))**(6\/5) assuming z is positive.\nAnswer: z**(636\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -8?  (a) -1  (b) -3\/2  (c) 0.5  (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let k(n) = -6*n**3 + n**2 + n - 2. Calculate k(-2).\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let x(f) = -f**2 + 38*f - 69. Determine x(36).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 211732?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let z(k) = -767801*k. Let f(m) = 392*m**2. Determine f(z(b)).\nAnswer: 231091203235592*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-q + 4*q - 5*q)*(-220*q - 206*q + 428*q + 45).\nAnswer: -4*q**2 - 90*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(18)\/(sqrt(144) - (1*sqrt(144) - sqrt(144))).\nAnswer: sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence dddo when four letters picked without replacement from {o: 3, d: 3, v: 1}?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let i be ((-12)\/14)\/(3\/(-21)). What are the prime factors of ((-63)\/14)\/((-1)\/i)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(d) = 9*d + 2. Let f be a(-9). Let p = f + 69. Does 13 divide (-272)\/p*(2 - 0 - -3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put together -27.0452248657 and -0.439.\nAnswer: -27.4842248657","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 110 - 222?\nAnswer: -112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 19263222 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -464, -1777, -3980, -7085, -11104, -16049, -21932?\nAnswer: -28765","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 3644557995 to the power of 1\/2, to the nearest integer?\nAnswer: 60370","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -7339 + 36329\/5. Let o = j - -73. Let x = -1 + 1.2. Which is the closest to -1\/2?  (a) o  (b) -0.1  (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 439312039?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 19 + (15 - (40 - 16)) + 26.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:06 AM and 6:10 AM?\nAnswer: 304","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -4222 (base 9) in base 12?\nAnswer: -1962","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-38)\/((-84)\/36 + (-1)\/(-3)). Let w = 106 + 65. What is the highest common divisor of d and w?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -2*g**2 + 3*g**2 - 3 + g**2 - 3 as u*g**2 + m + k*g and give m.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 30220 + 10?\nAnswer: 30230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose t - 2 = -3. Let d be 1\/(t\/3*(-5 + 8)). Put -10, d, 0 in decreasing order.\nAnswer: 0, d, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 12\/75*5*(-135)\/(-36)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*w - 5 - 1 = -4*f, 0 = -f + 4*w + 12. Solve 2*j + o = f, -3*j = -0*j - 5*o + 13 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 3*t**2 - 425 + 354 - t**2 in the form k*t**2 + c + d*t and give c.\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Round 14424754.8 to the nearest one hundred thousand.\nAnswer: 14400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 16\/(-56) - (519\/21 + -2). Let z = 58 + n. List the prime factors of z.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -13*k**2 - 23*k**3 + 60*k**3 + 13*k**2.\nAnswer: 37*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1\/((2\/(-6))\/((-3)\/9)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2\/7 in 0.3, -3\/4, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 89*z**2 - 8864*z - 1979984 wrt z?\nAnswer: 178*z - 8864","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let t(v) = 15*v - 3. Let n(p) = 31*p - 5. Let l(x) = -3*n(x) + 5*t(x). Let j be l(2). Let i = j - -89. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*v = 3*l - 596, 2*v - 2*l + 240 = 4*v. Let m be (-44)\/(-154) + 17*4\/7. Let q = v + m. What is the units digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express r + 4*r - 4*r + 95*r**2 + 15289 - 15287 as m*r**2 + l + x*r and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 201018 = 64*f + 199354 for f.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 233 plus 29?\nAnswer: 262","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7*d**3 + 892286*d**2 + 509883*d - 382410 = 0 for d.\nAnswer: -1, 3\/7, 127470","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from rmmmmmrrnfrnmfynmnmm. What is prob of picking 1 y, 1 n, and 1 r?\nAnswer: 4\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -1867 + 1876.41. What is q rounded to one dp?\nAnswer: 9.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 25134719 is divided by 1590?\nAnswer: 1589","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -j - 10 = -6*j. Factor -2*c**2 + 2 + 2*c**2 - c - c**j.\nAnswer: -(c - 1)*(c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many meters are there in thirty-seven fifths of a kilometer?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert 757001.2 centuries to millennia.\nAnswer: 75700.12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q(w) = w - 10. Suppose 6*b - 61 = 17. What is the units digit of q(b)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -15.1448022 to 1 dp.\nAnswer: -15.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in twenty-nine sixths of a century?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7530*s + 40 = -7525*s. What is the nearest to 3 in -17, 0.05, s?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 130144 by -664.\nAnswer: -196","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 18124593 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 12546565 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 84678227 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is m in 5*m**3\/4 + 357465*m**2\/4 + 1597131270*m - 4792198140 = 0?\nAnswer: -35748, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let b(a) = a**3 - 5430014 + 5430017 + 8*a + 4*a. Let v(k) = k**3 + 11*k + 2. What is 6*b(x) - 7*v(x)?\nAnswer: -x**3 - 5*x + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1\/2?  (a) -5  (b) 1\/6  (c) 0.3  (d) 3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*z + 1178 = -91. What are the prime factors of z?\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: -6652 divided by 236\nAnswer: -1663\/59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 83*v + 2*i = 81*v + 4, -v = -2*i - 17. Let m be 373*1*18\/2. Suppose v*n - 17356 - m = 0. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 11076 to the nearest integer?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 798 - 243. Suppose -5*a - 713 = -4*r, -k = -3*r - 2*a - a. What is the units digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*t + 0*t - 5*l = -26, 4*l - 1 = -5*t. Let c(s) = 2*s**3 + 11*s**2 - 9*s - 3. Let d be c(-6). Let i(y) = -y - 4 - 8*y - 7*y + d*y. Determine i(t).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -2775290 by 5.\nAnswer: -555058","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -21267*t - 2*t**3 + t**3 + 21265*t.\nAnswer: -t**3 - 2*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*m = -186 - 214. Let j be 5*2\/4*8. Calculate the highest common divisor of m and j.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5*l**2 + 0*l**2 + 0*l**2)*(5*l**2 + 0*l**2 - 3*l**2) + 2*l**4 - l**4 - 3*l**4.\nAnswer: -12*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -0.3  (b) -1\/57  (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*m - 3*m + 0*m)*(1 - 1 - 1)*(0 + 2 + 1).\nAnswer: 21*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let s(u) = -u**3 + 7*u**2 - u + 1. Let r be s(7). Let g = r + 8. Solve -5*o + 14 = 4*j, 5*j - j - g*o = 0 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(s) = s - 1. Let f be c(-1). Let w be (f - -2) + 1*-21. Let x = -4 - w. Does 12 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 6 - 3. Let x = -1 + f. Solve 2*y - 4*y - x = 0 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 241 is divided by 61.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Determine o so that -2*o**4 - 92*o**3 - 234*o**2 + 23432*o + 47096 = 0.\nAnswer: -29, -2, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: ((-42)\/(-63))\/(-1)*-9\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:21 PM and 6:12 PM?\nAnswer: 111","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -59\/22004346 and 89\/364.\nAnswer: 44008692","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2264 + 28 = -12*k. Let f = 295 + k. What are the prime factors of f?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000000677 rounded to 7 dps?\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 2 - -12. Let y be (-2 - (-24)\/t)\/(-2). Is -1 less than y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 15.44781 rounded to 2 dps?\nAnswer: 15.45","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 900.0298 + -900. What is f rounded to two dps?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(x) = -2*x. Let f(q) be the third derivative of q**7\/720 + q**5\/10 - 8*q**2. Let u(s) be the third derivative of f(s). Calculate m(u(v)).\nAnswer: -14*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let c(z) = 51*z - 38. Let j be c(12). Suppose -5*q = f - j, -1 = 3*q + 5. Let y be f\/36 + (22\/(-18) - -1). What is the greatest common divisor of y and 24?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be -1 + 0 - (22 + 1). Let s = k + 34. Let z(a) = a**3 - 11*a**2 + 11*a - 5. Calculate the remainder when 13 is divided by z(s).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {c: 4, f: 4, l: 3, n: 6, w: 1, r: 1}. What is prob of picking 2 c?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((f**(-1)\/(f\/(f\/(f*(f\/(f*f**(1\/10)\/f))\/f*f))))\/(f\/((f*f**3)\/f*f*f)*f*f)**(2\/57))**21 assuming f is positive.\nAnswer: f**(-11291\/190)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g\/(g*g*g\/g**(-21)))\/((((g*g**(-1\/27)*g)\/g)\/g)\/g)*(g**(-5)\/g)\/(g**17*g) assuming g is positive.\nAnswer: g**(-1241\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand -6*x - 2*x - 5*x - 2*x + 2*x + 2*x - 2*x - 2*x + 3*x + (2 + 0 - 3)*(-x - x + 0*x).\nAnswer: -10*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence dm when two letters picked without replacement from mmcdcmc?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*i - 16 = 0, 64 = 4*o - i - 0*i. Suppose 2*v + v = o. Suppose v*y = 2*y + 54. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k\/k**(-1))**(12\/13)*((k\/(k*(k**(-2\/7)\/k)\/k))\/k)\/(k**6\/k) assuming k is positive.\nAnswer: k**(-170\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((c**(-3\/8))**(-10\/7))**(-4) assuming c is positive.\nAnswer: c**(-15\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let u(p) = 419 + 1008*p - 1007*p - 429. Let l = 20 - 14. What is u(l)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 816 and 714.\nAnswer: 5712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of i**3*y*z - 2*i**3*y - 157*i**3*z - 5174*i**2*y + 32*i*y*z + 2*i*y wrt z?\nAnswer: i**3*y - 157*i**3 + 32*i*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {k: 1, y: 1, u: 1, d: 1, s: 1}. What is prob of sequence kds?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 408 + -597. Let c = -124 - y. Suppose 64*v = c*v - 3. Solve -v*i = 2*i + 10 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(m) = m**2 + 3*m - 5. Let j be l(-5). Let y = -234 + 238. Is j at least as big as y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*n - 20, 4*y - 5*n - 77 = -32. Suppose y*i + 1 = -3*t, i = -4 + 2. Suppose j = t*d - 19, 3*d - 4*j + 0*j - 13 = 0. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 17587, 35184, 52781?\nAnswer: 70378","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 188, 376, 566, 758, 952, 1148, 1346?\n\"Answer: w**2 + 185*w + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 15\/4 of a litre in millilitres?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -101, -395, -879, -1553, -2417?\nAnswer: -3471","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 2872\/(-76108) - (1131\/(-477) - 0)?\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: 0*8\/208*13\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o(g) = -169. Let h(b) = -2*b - 333. Calculate -3*h(v) + 5*o(v).\nAnswer: 6*v + 154","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3 + ((sqrt(98) + (0 + sqrt(98))*3)*-5)**2.\nAnswer: 39197","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:11 AM and 6:55 AM?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 1313118\/48 + (-3)\/(-8). Is (-1)\/(6\/4*(-22)\/h) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: -44a5c (base 13) to base 3\nAnswer: -20100012012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 414014 is divided by 11826?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5867*h - 58*h - 4441*h.\nAnswer: -10366*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let g(p) = -p**3 + 9*p**2 + 13*p - 2. Let z be (-70)\/4*(-128)\/224. Let o be g(z). Let i be o\/(-40)*(-2)\/1. Which is the closest to -0.1?  (a) 1  (b) i  (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 47.31135cm in nanometers?\nAnswer: 473113500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4551*t + 4545*t + 10932 = 0. What is the tens digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 4071 + -4069. Let i(k) = 10*k + 3. Let s(m) = 11*m + 2. What is a*i(u) - 3*s(u)?\nAnswer: -13*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 506300 and 8961510?\nAnswer: 89615100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Convert 96096.95 decades to centuries.\nAnswer: 9609.695","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.0341479 minutes to seconds.\nAnswer: 2.048874","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.1?  (a) 87  (b) -0.1  (c) 0.11  (d) -7  (e) 3\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10 - 26 = 4*j. Let d(x) = x**2 + 9*x + 13. What is the tens digit of d(j)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1169012 = -28*w + 339656. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 275 or 281?\nAnswer: 281","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -b80c1 (base 15) in base 6?\nAnswer: -20303544","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y(h) = -40*h - 357. Let m be y(-9). Suppose 0 = -2*u + u + 2. Let t = 1 + -1. Sort u, t, m.\nAnswer: t, u, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(m) = -10*m. Let s(j) = j**3 + 5*j**2 - j + 1. Let d be s(-5). Suppose -2*w + d = -w. Let z(c) = -c + 0 + 6 - w. Give u(z(g)).\nAnswer: 10*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 240*t - 16*t - 6990 = -9*t. Calculate the remainder when t is divided by -1 + 1*40\/2.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(r) = r**3 + 7*r**2 - 7*r + 7. Let d be u(-8). Let m = d + 4. List the prime factors of 6 + (-1 + 2 - m).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from baaeebaaebaaaeaa. Give prob of picking 1 e and 1 a.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s**(-7)\/((s\/(s**4*s))\/s*s)*(s\/(s\/(s*(s*s*s**8)\/s*s))*s)\/s**(-1\/4))**44 assuming s is positive.\nAnswer: s**407","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*h + 2*h = -3. What is the smallest common multiple of h and (9\/4)\/((-6)\/(-16))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(n) = 4*n - 25. Let x be j(6). Let v be (x\/(-4))\/(3\/24). Let f = 0.4 + 0.1. Which is the biggest value?  (a) f  (b) 1  (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 13842 + 0?\nAnswer: 13842","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*b + 2*y = 2*b - 7, b - 2*y = -5. Suppose -l - 2*l = -9, -b*n + 15 = -3*l. Is 8 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 289554?\nAnswer: 2, 3, 48259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -63 + 25. Let z = -38 - y. Let n be (-11)\/(-12) - 2\/3. Is z < n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 26 and 181389.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 84233, 84234, 84235, 84236?\n\"Answer: i + 84232","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 0.5 - -0.3. Let b = 58.3 + -57. Let j = h - b. Sort -0.1, j, 1 in descending order.\nAnswer: 1, -0.1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -20*t**3 - 2 + 8*t**3 + 13*t**3 + 2*t**2 to the form m*t**3 + f + a*t**2 + k*t and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -9381713\/108 - -86867. Find the common denominator of y and -127\/24.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(n) be the second derivative of 3*n**4\/2 - 3*n**3\/2 - n**2\/2 + n - 20. Find the second derivative of a(l) wrt l.\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(y) = -y**3 - 11*y**2 - 26*y - 3. What is j(-6)?\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 2*a**4*z + 50614297*a**3*c*z + 39956*a*c*z + 10*a*z - 2*a + 2*c*z + c + 39*z wrt a.\nAnswer: 24*a**2*z + 303685782*a*c*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 10, -116, 0, -2, 0.15, 17, 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*s + 8 = 0, 7*i - 155 = 12*i - 5*s. Let h(d) = d**3 + 2*d**2 - 4*d - 6. Let f be h(-3). Sort i, f, 3.\nAnswer: i, f, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 0, -126676, 16 in ascending order.\nAnswer: -126676, 0, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-6)\/(-27) - 1981\/45. Let l = -752\/15 - m. Calculate the common denominator of l and -71\/15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 312 and 3354?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {d: 3, w: 1, o: 3}. What is prob of picking 2 o?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -245*m - 8856 = 83*m for m.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let o(w) = -54*w**3 + 24*w**2 - 24*w - 24. Let f(k) = 11*k**3 - 5*k**2 + 5*k + 5. Suppose -4*t + 3*g + 23 = 0, -4*g = 2 + 2. Determine t*o(j) + 24*f(j).\nAnswer: -6*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -2 - 2. Let b(d) = 2. Let r(t) = -t**2 - 4. Let i(n) = 4*n + 0 + 0*n**3 + n**3 - 5*n**2 - 2. Let v be i(4). Determine a*b(j) + v*r(j).\nAnswer: 2*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 w and 1 t when four letters picked without replacement from ewtpweetelwe.\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 234917504 to the power of 1\/9, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 336 and 6.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is -17 at least -16?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1483144072?\nAnswer: 2, 311, 596119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 473 - 473. Solve -j - 13 = 2*l, 4*l + j - 5*j - 4 = f for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 884157691 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let z(x) = x**2 - 8*x - 38. Let r be z(-5). Suppose -12*a + r = -3*a. Solve o = 3*c - 13 + 5, -3*o = a*c + 12 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4.013383um in centimeters?\nAnswer: 0.0004013383","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 14548453939 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1120707?\nAnswer: 3, 7, 17789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -14 - -10. Suppose -5*x - 5*q = -15, -3*x + 7*q = 3*q + 26. Let v = x - s. Solve v*k + 5 = k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -32435 (base 7) in base 3?\nAnswer: -102010102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 2 + -3145014541?\nAnswer: -3145014535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: -2.086778413+423\nAnswer: 420.913221587","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 66*g**3 + 0 - 3 + 10*g**3 + 2*g - 14*g**3 to t*g + i*g**2 + f*g**3 + w and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 481 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 e and 1 z when two letters picked without replacement from gegegzzgg.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -35 + 3 = 8*t. Let x be ((-25)\/t - 4)*(-16)\/(-6). Solve -i + x*i = 0 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 7375638.48 times 4\nAnswer: 29502553.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -316 - -318. Solve -l*u = -3*x - 2, 4*u + 37 = -u - 3*x for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 302*z + 175*z - 57*z.\nAnswer: 420*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is -14823 (base 15) in base 4?\nAnswer: -100012212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u(p) = -p + 2. Suppose -2*g = 2*g + 16. Let j = 82 + -78. What is the remainder when u(g) is divided by j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1345 is divided by 39.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9 - 3 = -4*p. Let g(l) = -2*l + 4 - 4*l**2 - p + 8*l**3 - 7*l**3. Suppose -16*o + 11*o = -20. Calculate g(o).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.000122924 to 7 dps.\nAnswer: -0.0001229","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let r(f) = -f**3 + 5*f**2 - f - 4. Let g be r(3). Suppose 3*k + s + 8 = 0, -k - 2*s = -0*k + g. Let i be -1 + (-2)\/(-6) - (-64)\/150. Which is smaller: k or i?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -4 in -2\/69, 5149, 1?\nAnswer: -2\/69","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let j be -4 + 0 - -534 - 3. Let c = j - 274. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (0*1\/3)\/(-2). Suppose 0*b = -4*b + 12, 4*y + 5*b = 15. Suppose v*t + 3*t - 21 = y. Calculate the remainder when 12 is divided by t.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 65  (b) -0.3  (c) -36\/19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 24*c = 26*c + 10, -2*x - c + 1 = 0 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 59247099.\nAnswer: 3, 2194337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2174181.\nAnswer: 3, 17, 89, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 1 - 5. Let u(w) = -w**2 - 6*w - 4. What are the prime factors of u(z)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -57 + 56. Let u be 52670\/20 + c\/(-2). Suppose -u = 4*d + 3*k, 4*k + 654 = -d + k. Round d to the nearest one hundred.\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: -47 + (-44 - (-112 - -83))\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -34, -59, -100, -157, -230, -319?\nAnswer: -424","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 33, -2\/9, -4, 0.2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let s(k) be the third derivative of -3*k**8\/112 - 13*k**5\/60 + 7*k**2. What is the third derivative of s(z) wrt z?\nAnswer: -540*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(q) = q**3 + 11*q**2 - 6*q + 84. What is g(-12)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let g be ((-45)\/(-2))\/(24\/32). Suppose 3*r = -3*r + g. Solve r*w = d + 22, -5*d + 6 = 2*w + 2*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(q) = 3*q**3 + 2*q + 1. Let z be x(-1). Let a = 4 + z. Suppose -2*u - y - 2 = -3*u, a = 2*u - 5*y - 7. What is the greatest common divisor of 10 and u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 20369063 to the power of 1\/6, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let a(m) = -m**3 + 10*m**2 - 8*m - 12. Let f be a(9). Let p be 0\/1*f\/(-6). Let c be -4*3\/(-6) - p. Solve o = -4*x - 19, -c = -x + 2*o - 0 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in 4.955114 centuries?\nAnswer: 495.5114","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 28259?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/8 of a millimeter in micrometers?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in 1\/20 of a kilometer?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*g**2\/5 + 774543*g\/5.\nAnswer: -3*g*(g - 258181)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let n(g) = 4*g**2 - 1 - 1 + 2*g + 4*g**3 + 2*g - 5*g**3. Let l be 51\/15 + 5\/(175\/21). Calculate n(l).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -3562*l**3*z**4 + 11*l**3*z**3 - 25*l**3*z**2 + 316*l**3 - 4*z wrt z.\nAnswer: -85488*l**3*z + 66*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 35576?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 25\/1576 and -99\/2356?\nAnswer: 928264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is -142\/1057 at most as big as 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let j(a) = -a**2 - 10*a - 14. Let b be j(-8). Let p(y) = 4*y**2 - 4*y**2 + 12 - 4*y**b + 5*y**2 + 9*y. Calculate p(-6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from prrrpppjjprrrjrj. What is prob of picking 3 p?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 841757?\nAnswer: 7, 19, 6329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 216196 is divided by 2428.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 10550798 to the nearest integer?\nAnswer: 219","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let p(x) = -7*x - 59. What is p(-12)?\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is (19 + (-29 - -11))\/((-2)\/(-100778)) a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((q\/(q*q**(2\/3)*q))**(-1\/7))**(1\/12) assuming q is positive.\nAnswer: q**(5\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 25 minutes before 11:35 PM?\nAnswer: 11:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Express -5*c - c + 2*c + 4 - 2*c - 4 + (3*c + 2*c + c)*(4 - 2 - 4) + 0*c + 0*c + 2*c + (-2*c - c + c)*(0 + 0 - 1) as n*c + g and give n.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 8009 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 177319, 1416855, 4780825, 11331445, 22130931?\nAnswer: 38241499","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 p and 2 i when four letters picked without replacement from {p: 15, i: 4}.\nAnswer: 105\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let h(l) be the third derivative of 7*l**2 + 0*l + 0 + 1\/60*l**5 - 1\/24*l**4 + l**3. Does 26 divide h(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ueuezbzbzhbehezzb. Give prob of sequence heue.\nAnswer: 1\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -5 + 75?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let r(p) = -p**2 - 4*p + 4. Let d be r(-4). Suppose 0 = d*i - 2*i + 6. Sort i, 1, 2\/7.\nAnswer: i, 2\/7, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*o + 3*w - 25 = 0, 0 = 5*o + 4*w - 25 - 0. Suppose 0 = 2*q - b - 9, -2*b = -o*q + 2 + 18. Solve -6*u + q*c = -3*u - 7, -4*c + 16 = 4*u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -1 - -76785?\nAnswer: 76784","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-32)\/(-16)*2\/(-5).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -45.80000211 + 45.8. What is s rounded to 7 decimal places?\nAnswer: -0.0000021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -13, 105, -1, 4 in descending order.\nAnswer: 105, 4, -1, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let 4*c**5 + 205416*c**4 + 2604575300*c**3 - 838626425200*c**2 + 64950430080000*c + 273386383360000 = 0. Calculate c.\nAnswer: -25835, -4, 160","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-q + 1 - 1)*(1 - 2 + 3 + 2*q).\nAnswer: -2*q**2 - 2*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 67 and -849969?\nAnswer: 850036","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.05, 0, 1 in decreasing order.\nAnswer: 1, 0, -0.05","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: (-6 + 0)\/((-663)\/65 + 13)\nAnswer: -15\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 5 - 3. Suppose -o = m + h, -m - o = m. List the prime factors of (23\/m)\/(2\/4).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1312 divided by -328\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let g(x) = -16*x - 22. Let f be g(-3). Let z be (f\/(-5) + 2)*(-5)\/2. Is z equal to 7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 22 a factor of 124504?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 17446.4 - 17446. Which is the smallest value?  (a) v  (b) -7.9  (c) -2.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 24828 and 84.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 4, 1, 26, 97, 232, 449?\nAnswer: 766","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s(v) = -v**2 + 0*v**2 + 2*v**2 + v**2. Let j(u) = -110*u**2 - u. Determine s(j(m)).\nAnswer: 24200*m**4 + 440*m**3 + 2*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let h(p) be the third derivative of 17*p**9\/252 - 7*p**5\/10 - 25*p**2. Find the third derivative of h(g) wrt g.\nAnswer: 4080*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 36112265389 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let r be -4*(5 + 161\/(-28)). Suppose 513 = r*v + 504. Solve 2*s = 5*s - v for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(k) = -k**2 + 7*k - 6. Let c be y(4). Suppose 0 = f + f - c. Suppose 0 = -f*z + 3*l - 10788, -4*z + l = 5832 + 8564. Round z to the nearest one thousand.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 1 + -113a7?\nAnswer: -113a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2\/43?  (a) -14  (b) 8  (c) 20  (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 652.\nAnswer: 2, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2743 - 2743 + 252*w.\nAnswer: 252*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*n = n - v - 36, 5*n = v + 45. Is 7 > n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 98 divide 1477506898?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6944 - 7231 = -25*r. Let i = 560 + r. What is the tens digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 190660?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let x(p) be the first derivative of 9 + 0*p**2 + 0*p**4 - 12\/5*p**5 + 0*p + 1\/3*p**3. What is the third derivative of x(y) wrt y?\nAnswer: -288*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in 0.5, -3, 1, 0.14, 3, 0.4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let m(v) be the first derivative of -v**4\/4 - 5*v**3\/3 - 2*v**2 - 3*v + 4. Let q be m(-4). Let b be q - (-9 + (-1 - 0)). Solve -d + 2 = b for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ggvxmmxmxvxgmkvmxvv. What is prob of sequence mkg?\nAnswer: 5\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.000001193 rounded to six decimal places?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -65 + 95. Let l = p - 18. Let h = 20 - l. List the prime factors of h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 346015 is divided by 5481?\nAnswer: 712","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -882c + -4?\nAnswer: -8833","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let d(s) = 110112*s - 770805. Give d(7).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -74, -141, -208, -275, -342?\n\"Answer: -67*g - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 938575 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -0.99 - 0.01. What is the smallest value in 3, n, -4, 0?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -24 in 0.4, 2\/19, -0.34, -0.0457?\nAnswer: -0.34","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*g = 5*g - 5. Let q = g + 11. What is the units digit of ((-2)\/(-5))\/(q\/120)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 206 + -116. Let x be ((-56)\/(-12))\/(3\/l). Suppose 46 + x = 2*s. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 175 + -178.3. Let h = 2.992 + u. Round h to one dp.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -2*q**5\/7 + 3424*q**4\/7 - 205408*q**3 - 23611648*q**2\/7 - 118996992*q\/7 - 191102976\/7 = 0. What is q?\nAnswer: -8, -4, 864","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Find k such that 3*k**5\/4 + 63*k**4\/4 - 1761*k**3\/4 + 1737*k**2\/4 + 22803*k\/2 + 17316 = 0.\nAnswer: -37, -3, -2, 8, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2 + (sqrt(500) - (sqrt(500) + 1))**2 + -1.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 189, 366, 533, 690?\n\"Answer: -5*j**2 + 192*j + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0093996 to 5 dps.\nAnswer: 0.0094","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let h be -1*(11 + -7 + -3 + 2). Which is the closest to -2?  (a) -2\/5  (b) h  (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4 + 1 + sqrt(612))**2.\nAnswer: -36*sqrt(17) + 621","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Express -1 + 7*n - 135*n + 43*n + 2*n**2 + 4*n**2 - 53*n in the form k + x*n + p*n**2 and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {k: 1, j: 3, g: 7, w: 2, b: 4}. Give prob of sequence bbb.\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*z**2\/19 - 74682968*z\/19 - 697193213661128\/19 = 0. What is z?\nAnswer: -18670742","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let z(i) = 2*i + 23. Let h(t) = -714447*t**2. Calculate z(h(n)).\nAnswer: -1428894*n**2 + 23","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1423 is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 3*p**2*s**2 - 2*p**2*s + 2839*p + 363*s**3 wrt s?\nAnswer: 6*p**2 + 2178*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let u(w) = -3*w - 3. Suppose 5*v + 20 + 10 = 0. Let c be u(v). Let k = c - -4. Solve -1 - k = -5*a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 12 divide 4\/(-50) + 216314\/175?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(a) = -21*a + 8. Give u(2).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 74\/285 and -37\/902975.\nAnswer: 2708925","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 1 + 3. Suppose -i*w + 0 = -4. Let c be ((-15)\/((-2205)\/(-14)))\/(1 - 11). Does w = c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1 + (4 - -4) + -6\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -12222 + 200321121?\nAnswer: 200302233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let v(r) = -205*r**3 - 2*r**2 - 818*r + 1629. Give v(2).\nAnswer: -1655","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*w + 2*w + 189. Let r = w + -568\/9. Which is greater: r or -3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(b) = b**3 + 2*b**2 + 2. Let k(a) = -4*a**3 + 13*a**2 - 26*a - 57. Let z(i) = -k(i) - 5*s(i). Let l be z(-24). Is l != -2\/251?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*r = -2*r. Suppose -3*j + 2*j - 3 = r. Let u(p) = p**2 + 8*p + 5. Let m be u(-7). Put 0, m, j in increasing order.\nAnswer: j, m, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 596*d + 374 + 444*d + 444*d - 374 as j*d + t and give j.\nAnswer: 1484","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let x(g) = -g**3 - 38*g**2 + 169*g + 56. Give x(-42).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -4, -144, 1\/7, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let d(w) = -w**2 - 17*w + 35. Let m be d(-19). Let k be 55\/5 - 0\/m. Differentiate -16*p**3 - k*p**3 + 27 - 8*p**3 with respect to p.\nAnswer: -105*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -9 + 4 - (11 + -5 + -3 - 1)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 14 in 3, -3, -0.4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 279 = 3*s - 753. What are the prime factors of s?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -26 - -30. Solve -y*i = -4 + 20 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be ((-51)\/(-187))\/((3240\/528)\/45). Let j(l) = 4 - l + 2*l - 3*l + 2*l**3 - 2*l**2. Calculate j(h).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 5430 + 4?\nAnswer: 5434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 17*t = 7*t - 10 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 136.2983 milligrams in tonnes?\nAnswer: 0.0000001362983","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is -22556472 greater than -22556476?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.06744177834 rounded to 4 decimal places?\nAnswer: 0.0674","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 20*k - 10784 = -4204. What is the remainder when k is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(z) = 3*z**3 + z**2 + 2. Let c(d) = 7*d**3 + d**2 + 308. What is c(a) - l(a)?\nAnswer: 4*a**3 + 306","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -3 - -7. Factor -3*u**3 - u**5 + 3*u**4 + 6*u**r - 6*u**4 + u**3.\nAnswer: -u**3*(u - 2)*(u - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4887?\nAnswer: 3, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from uqkkedkedqukddkdukd. Give prob of picking 2 u and 1 q.\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 230 a factor of 10350?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 877*l - 962*l**2 + 954*l**2 - 877*l.\nAnswer: -8*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 623 minutes after 12:20 PM?\nAnswer: 10:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -4.7 - -0.7. Let k = p - -1. Let b = 3\/58 - -101\/290. Sort k, -2, b in descending order.\nAnswer: b, -2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5853*k**3 - 2*k**2 - 5852*k**3 + 2*k**2 + 121.\nAnswer: k**3 + 121","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 782*x**2 + 3*x + 169.\nAnswer: 1564","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -702\/19 + 13340\/361. Let a = o + 5746\/5415. Find the common denominator of -7\/5 and a.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4*(1\/(-2))\/((-21)\/(-42)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 92\/(-9)*(-1)\/(-2) and (-3314)\/156 - (-115)\/1495.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(l) = l**3 + 12*l**2 - 10*l - 46. Let a be g(-12). What is the highest common divisor of a and 740?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(h) = -h**3 - h**2 - h - 1. Let p(m) = 0*m**2 - 6*m**2 - 3 - 9*m - 5*m**3 - 1. Let w be 8\/(-4) - (1 - 0)*-3. Let f(u) = w*p(u) - 6*x(u). Factor f(y).\nAnswer: (y - 1)**2*(y + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1.29 - -33.14726151?\nAnswer: 31.85726151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let u(v) = -2*v**3 - 2*v**2 + 24*v - 4. Determine u(-4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:47 PM and 9:04 AM?\nAnswer: 617","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1675.\nAnswer: 5, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 204 = 24*t - w + 4*w, -4*t + 28 = -w for t.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: -0.37*-18100\nAnswer: 6697","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 3813 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v**(-5)*(v\/v**(4\/5)*v)\/v)**(1\/2) assuming v is positive.\nAnswer: v**(-12\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(1000)*4)\/(sqrt(48)\/(sqrt(30)\/sqrt(5))).\nAnswer: 20*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 514\/21 - 3923\/168. What is the second smallest value in 1, b, -2\/5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(a) = -a**3 + 2*a**2 + a - 3. Determine g(3).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {z: 1, f: 1, d: 2, y: 1}. What is prob of sequence zddy?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 628 minutes after 9:55 AM?\nAnswer: 8:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 812 a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: 10100010 (base 3) to base 9\nAnswer: 3303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 245 is divided by 16.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Are -73319 and -1393057\/19 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 56342437?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"}
{"text":"Question: Round -0.0457415 to 4 dps.\nAnswer: -0.0457","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 30673, 30670, 30665, 30658?\nAnswer: 30649","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 149\/27144 and 23\/12064?\nAnswer: 108576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Put -4\/3, 72, 1, -3, -3\/2 in increasing order.\nAnswer: -3, -3\/2, -4\/3, 1, 72","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Divide 4376 by -602.\nAnswer: -2188\/301","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -37*h*y*z**2 - 139*h*y*z - 75*h*z**3 + 2*y*z**3 - 32*z**3 wrt y?\nAnswer: -37*h*z**2 - 139*h*z + 2*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 61 is divided by 6.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 1517803 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: -400062 times -4\nAnswer: 1600248","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 2 + 2)*((5*m + 0*m - m)*(-4*m**2 + 3*m**2 - m**2) + 7 + 12*m**3 - 7).\nAnswer: 12*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*s + 92 = -2*v, -3*v + 3*s - 2*s + 1406 - 1419 = 2*s for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:42 PM and 5:58 AM?\nAnswer: 496","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 45613531 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let u(o) = -2*o**3 + o**2 - o - 1. Let w = -1 - -6. Let i = w + -6. Calculate u(i).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (75 - 36 + 88)*(8*f + 17*f - 3*f) as m + i*f and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 12 - 458*o + 14 - 438*o - 26.\nAnswer: -896*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 0.2, -2, 884, 1, -1?\nAnswer: 884","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: ((4\/(-8))\/(65\/(-1404)))\/(2\/(-5))\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 31.558665 rounded to 1 dp?\nAnswer: 31.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the sixth smallest value?  (a) 185751  (b) 0.2  (c) -2\/7  (d) -0.4  (e) -5  (f) 0.4  (g) 3\/7\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 52 and 455343772?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 14 + -9. Suppose 4 = -o + b*u - 4, -o = -4*u + 6. Factor -3 - 4*y**4 - o*y + 3 + 2*y**5 + 4*y**2.\nAnswer: 2*y*(y - 1)**3*(y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 355 - 379 = 8*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 174 - 173.9. Which is the closest to -2\/9?  (a) 1  (b) -1  (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.056 + -0.1?\nAnswer: -0.156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 15095, 0, 0.2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 359 - -235. Does 9 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 1434726?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2?  (a) -0.2  (b) 1\/13  (c) 3  (d) 1.8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 139\/18 and -71\/522.\nAnswer: 522","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 7384394 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -1017 - -337. Let c = 680.2 + u. What is the closest to -2\/3 in -6\/5, -4, 2\/7, c?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -0.0555 + 5.2755. Let s = -5 + v. Let p = s - -0.08. Which is greater: p or -0.1?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(a) be the second derivative of -a**3\/2 - 3*a - 18. Let j(r) = 2*r**2 - 17. Give c(j(m)).\nAnswer: -6*m**2 + 51","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 709 + 116 - g**2 - 412*g**4 - g**2 - 31 wrt g.\nAnswer: -1648*g**3 - 4*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*a**2 + 0*a**2 + a**2)*(0*a - a**2 + 0*a) + 2*a**4 + a**3 - a**3 + (0*a + 0*a - 2*a**2)*(0 - a**2 + 0).\nAnswer: 6*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 7*1\/(-3)*(-23)\/(5474\/(-544))?\nAnswer: -16\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*w = 85 + 1. List the prime factors of w.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, 1, 5\/6, -1, -0.2 in decreasing order.\nAnswer: 3, 1, 5\/6, -0.2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let g(w) = -2*w**2 + 75*w - 525. Let c be g(28). Solve c*q + 33 = -2 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(v) = -3*v + 1. Let k be o(-1). Suppose -k = -a - a. Find the third derivative of 4 - a*g**6 - 3*g**2 - 4 wrt g.\nAnswer: -240*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*w + 1 = s, -5*s + 101 - 76 = -5*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is -30677 greater than or equal to -30679?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let w(p) = -165*p - 335. Let z be w(-2). Let b(s) = -s. Let a(x) = 4*x. Give z*a(l) - 30*b(l).\nAnswer: 10*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Sum 0.02 and 1057.\nAnswer: 1057.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 128*m - 4*u = -640, 3*m + 997 = -2*u + 982 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Does 316 divide 559416?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 106917591?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -6705.2 - -6705. Let h = 2 + -6. What is the nearest to h in 5, -0.5, n?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*n - n**4 - 2*n)*(0 + 0 + 1) + (-n**3 + n**3 + 2*n**3)*(5*n - 3*n + 0*n) + 4*n - 4*n - n**3 - 2*n**4.\nAnswer: n**4 - n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 85.18103 litres in millilitres?\nAnswer: 85181.03","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k(j) be the third derivative of 11449*j**6\/420 - 107*j**5 - 71*j**4\/7 - 8*j**3\/21 - 406*j**2. Determine l so that k(l) = 0.\nAnswer: -2\/107, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(z) = -68*z + 28. What is l(-2)?\nAnswer: 164","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 345 minutes after 1:30 AM?\nAnswer: 7:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, 8, -5, -9, 0, -1436 in descending order.\nAnswer: 8, 2, 0, -5, -9, -1436","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:16 PM and 2:39 AM?\nAnswer: 203","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 45318 - 19080.\nAnswer: 26238","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Put -373, 4, 3, -4 in decreasing order.\nAnswer: 4, 3, -4, -373","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Put -25, 2, 69838 in increasing order.\nAnswer: -25, 2, 69838","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -5180, -10876, -16572, -22268, -27964, -33660?\n\"Answer: -5696*n + 516","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f(h) = 3*h - 3. Let v(t) = -30*t + 9. Let s(o) = -3*f(o) - v(o). Let z(w) = w - 60 + 60. Determine z(s(d)).\nAnswer: 21*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let w(y) = -y**3 + 13*y**2 - 12*y + 3. Let c = 22 + -10. Let n be w(c). Suppose i + 13 = -i - 5*p, 3*i = -2*p - n. What is the units digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1279235 = 50*c + 8785. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((f**(-1\/5)*f)**(-2\/17))**(-15))**28)**(20\/9) assuming f is positive.\nAnswer: f**(4480\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (6*4\/6)\/(1 - 0). What is the third derivative of -r*u**5 - 18*u**2 - 6*u**4 - 1 - 2 + 15*u**4 - 8*u**4 wrt u?\nAnswer: -240*u**2 + 24*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 148557, 296973, 445389, 593805, 742221, 890637?\n\"Answer: 148416*h + 141","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*d - 2*n + 6 = 0, -3*n + 1 = 3*d - 2. Let o(q) = 2 + q**d + 2*q - 6*q + 2*q. Let j be o(2). Put -4, j, 4 in ascending order.\nAnswer: -4, j, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 2433*a - 2357*a + 2280 for a.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 336958?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*i + 0*i = -3*x + 567, 0 = -2*x - 4*i + 394. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 2.134 + -1.994. Which is the fourth smallest value?  (a) h  (b) 16  (c) 1\/3  (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are 0.02 and -1720 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1 in 59, 3\/2, 3\/8, -1?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 18429053911 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 209 = 10*m - 5401. List the prime factors of m.\nAnswer: 3, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 100111 + 10110?\nAnswer: 111101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*l = -0*m + 3*m + 2*m - 16, 7*m + 53*m - 18 = 3*l + 96 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.4, -1\/9, 4, 0.2, 217 in decreasing order.\nAnswer: 217, 4, 0.2, -1\/9, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let x(k) = 8*k + 6. Let o(i) = 5*i + 4. What is 7*o(t) - 5*x(t)?\nAnswer: -5*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -0.17 - -0.57. Which is the third biggest value?  (a) -2  (b) -3  (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 534.9kg in milligrams?\nAnswer: 534900000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j be ((-9)\/6)\/1*-4. Let i(z) = z - 3. Let t be i(j). Suppose 0 = 5*b - 3*s - 4, -b + 5*s - s = 6. Which is bigger: t or b?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(1700) + -1 + sqrt(833)*-1 + (4*sqrt(51)\/sqrt(3))**2 + 3.\nAnswer: 3*sqrt(17) + 274","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 35 a factor of -6 - (-2213)\/(-3)*-3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-1)\/(-8))\/((-142)\/(-142))*30.\nAnswer: 15\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p**1)**31\/(p**1)**(-24) assuming p is positive.\nAnswer: p**55","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4*sqrt(156)\/sqrt(432)*1.\nAnswer: 2*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -127\/24750 and -83\/88275.\nAnswer: 2648250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let u(t) = -129 - 2*t + 129. Let m(g) = -23*g**2. Calculate u(m(r)).\nAnswer: 46*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2*(-1*(5 + sqrt(33)\/sqrt(11)) - (sqrt(75)*2*5)**2).\nAnswer: -15010 - 2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from wawwjajjcj. Give prob of picking 1 w and 1 c.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (70\/6)\/5*774\/2408?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose t + 0*t + 3*x - 4 = 0, 0 = -2*x - 8. Suppose -9 = 5*f + t. Let n = f - -9. Solve 7*j - n*j = 3 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5*x - 5*x - 3*x)*(0 + 2 - 4)*(0 + 0 - x).\nAnswer: -6*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: 3*((1400\/1020)\/(-14))\/((-10)\/4)\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 170, 565, 1216, 2117, 3262, 4645, 6260?\n\"Answer: -y**3 + 134*y**2 + 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Round -8214.9316 to the nearest 10000.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let r(w) = 10*w - 101. Let s be r(13). Put -2, -74, s in decreasing order.\nAnswer: s, -2, -74","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(p) be the first derivative of 0*p - 27 - 7*p**3 + 0*p**2 + 19\/4*p**4. Find the third derivative of w(t) wrt t.\nAnswer: 114","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1738725 is divided by 401.\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let t(a) = 85*a + 63. Calculate t(-2).\nAnswer: -107","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 2\/((80\/(-36) - -3) + -1). Let q = -6 - r. What is the derivative of -n + n - q*n - 4*n - 15 wrt n?\nAnswer: -7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -0.7, 21, 5, -25\/2?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 596 minutes after 7:37 AM?\nAnswer: 5:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 450843 and 14837445?\nAnswer: 6729","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let q(o) be the third derivative of 0*o + 7\/8*o**4 - 3*o**3 - 1\/60*o**5 + 0 + 9*o**2. Is 15 a factor of q(9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -41\/5?  (a) -2\/15  (b) -1\/8  (c) 25  (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 7 - 4. Let g = -15 + 5. Let t = -6 - g. What is the smallest value in t, z, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-1 - (-3 - 1)) + 1 + -2?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v(r) = 825*r - 30. Let d(y) = 138*y - 5. Let t(o) = 25*d(o) - 4*v(o). Let i(j) = 3*j**3 - j. Let c be i(1). Is t(c) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 22489.\nAnswer: 43, 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 253 and 5357.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 317 is divided by 105.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let x(o) = -14*o - 59. Calculate the smallest common multiple of 25 and x(-6).\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -3.235 + -0.065. Let n = k + -0.7. Let b = 1 - n. What is the second smallest value in b, 4, -5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 12 - 17. Suppose 0 = -2*n - 2*f + 382, 0 = n + 3*n + 5*f - 767. Let g = 943\/5 - n. Put g, j, -1 in ascending order.\nAnswer: j, -1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/10 of a decade in months?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 22  (b) 0  (c) 2  (d) -57  (e) -0.2  (f) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 10 - 3. What is the highest common factor of 1 and m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 11 - 7 + p + 13 + 9 - 1 - p**2 to f + o*p**2 + w*p and give f.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 909554.1 milligrams in tonnes?\nAnswer: 0.0009095541","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Work out -29 + 1108.\nAnswer: 1079","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:07 AM and 3:01 PM?\nAnswer: 714","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Round 27.27218 to the nearest integer.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is fourty-one halves of a day in hours?\nAnswer: 492","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*(sqrt(405) + 0 + 4)*3)**2*-3.\nAnswer: -11367 - 1944*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 120 + -54. Does 21 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(q) = -376*q - 56783. Determine v(-151).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 3\/(-15) - 1031\/(-5). Let i = -63 + d. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be ((-9)\/3)\/(-1) + 0. Differentiate -c*s + 5*s + 6 + 2*s - 3 wrt s.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -51, -194, -431, -762, -1187, -1706, -2319?\nAnswer: -3026","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -39 + 3*g**2 + 72 - 33.\nAnswer: 3*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let i(s) be the third derivative of -s**6\/1200 + s**4\/240 - 25*s**2. Factor i(b).\nAnswer: -b*(b - 1)*(b + 1)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: -11 divided by -9247\nAnswer: 11\/9247","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let y(n) be the third derivative of -n**4\/4 + 7*n**3 - 19*n**2. What are the prime factors of y(-8)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -501, -478, -439, -384, -313, -226, -123?\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -8777 and -138.\nAnswer: 1211226","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 79880 divided by 7988.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (144\/30)\/4*(-2)\/(-4).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 4585 and 45395.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let p(b) = -2*b + 5. Let i be (-485)\/(-60) + (-72)\/9. Let h(f) be the third derivative of 0*f - i*f**4 + f**3 - 7*f**2 + 0. Determine 5*h(j) - 6*p(j).\nAnswer: 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12*n - 60 = -16*n. Suppose -5*t - 4*o = -n, -2*t - o + 6 = -0. Suppose 0 = 7*s - t*s - 20. What are the prime factors of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.1?  (a) 47  (b) -7  (c) -2\/9  (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 68 - 28. What is the highest common factor of 5 and h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (189\/(-6))\/((-1)\/4). Suppose -5*b + 1 = t, -2*t + 7*t = -2*b + 120. Let l = -12 + t. What is the highest common factor of s and l?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 y when three letters picked without replacement from yyymmymymyxywmyxw.\nAnswer: 7\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let v(r) = 4*r - 1 - 2*r + r. Let c be v(-3). Let j = -5 - c. Solve 2*d - j*s - 1 = 0, -9 = 4*d - 2*d + 5*s for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 25\/(1250\/20)*30?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 119\/6 and 113\/12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let s(l) = -8*l**3 - 5*l**2 + 57*l + 22. What is s(6)?\nAnswer: -1544","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let q(f) = 100*f**3 - 2*f + 2. What is the hundreds digit of q(1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((l**0)**27\/(l**2\/(l**(-4)\/l)))\/((l**(-2\/5))**(1\/32)\/(l**(1\/2))**(-2\/25)) assuming l is positive.\nAnswer: l**(-2811\/400)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -59 + 59.0000082. What is r rounded to 6 dps?\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -r + 3*l + 4133 = -2*l, -2*l + 20800 = 5*r. Solve -5*b**2 - r + 1021 - 12443 + 660*b - 6200 = 0 for b.\nAnswer: 66","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(x) = -x**2 + 2352*x - 90206. Determine o(39).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is (1\/1)\/(-1)*(-14175 - -2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 5753\/2302 + 1\/1151. What is the third smallest value in 0, c, -2\/15, -9?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 873000 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((i**(-4\/11)*i)\/(i*i*i**6))**43\/(((i**(-9\/2)*i)\/i)\/i**(1\/6))**(1\/25) assuming i is positive.\nAnswer: i**(-261071\/825)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {y: 2, h: 2, o: 1, t: 1, u: 4}. What is prob of picking 1 t and 3 u?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 2 - 3. Let z = 7 - h. Let v = 8.4 - z. Which is the closest to -0.1?  (a) 1\/3  (b) v  (c) -3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 16?  (a) -5  (b) 145  (c) -3  (d) 212\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-4)\/(-10) - 46\/(-10). Put -2, 1, w in increasing order.\nAnswer: -2, 1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (15\/5 - 0)*1. Let w be ((-4)\/o)\/(4\/6). Let i(c) be the second derivative of -c**3\/6 - c**2\/2 - 14*c. Determine i(w).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*(-3*sqrt(7) - sqrt(7))*3)**2 - (-2 + sqrt(343))*6.\nAnswer: -42*sqrt(7) + 4044","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -100110 - 11000001?\nAnswer: -11100111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 251*g - 150*g - 3439 - 1409. Suppose -2*p = -l + 4*l - 36, 2*p - 4*l - 36 = 0. Calculate the remainder when g is divided by p.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let k(v) = -v**2 - 30*v + 456. Let b be k(-41). Solve 10*y - b*y + 25 = 0 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*p - 40 = -3*x + 10, -2*x + 29 = 3*p. Let y = x + -14. Suppose y*g - 1627 = -513. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 8948, 17904, 26858, 35810, 44760, 53708?\nAnswer: 62654","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s(d) = 4*d - 2. Let m be s(4). Let z(u) = -2*u**2 + 32*u - 53. Let j be z(m). Suppose n + 15 = 3*k + 3*n, 0 = 5*k + 4*n - 27. Solve j*i = k - 12 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 0.2 - 1.2. Let f = 0.9 + i. Let l be 4*1 - ((7 - -3) + 132\/(-21)). What is the closest to -1 in l, f, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 502 minutes before 4:37 AM?\nAnswer: 8:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 126455.5 - -0.2?\nAnswer: 126455.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let v(j) = -3*j + 1. Let s be v(-1). Let x(i) = -i**3 - i + i + 3. Let g be x(0). Which is greater: g or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*t - 4*m + 8 = -8, m = 7. Put -1, 3, -18, t, -12 in decreasing order.\nAnswer: 3, -1, t, -12, -18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*f + 2*u + 92, 6*u - 3*u = -3*f + 51. Let x be (-2)\/7 - (-13)\/f. Suppose 0 - x*j**2 - 1\/3*j = 0. What is j?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 122 + -42. Suppose x = -3*w + 26. Does 10 divide 2\/9 + (-356)\/w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be -10*((-9)\/5 - -1). Let k(l) = -4 - 4*l**2 - 3*l**2 + x*l**2 + 3*l. Let w(r) = r**2 + 4*r - 4. Let a be w(-4). Determine k(a).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 35 + ((-16 - 0) + -1 - (-2648 + 2640))?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r(f) be the second derivative of -f + 1\/6*f**3 + 0 + 0*f**2. Let k(g) = 3*g. Calculate r(k(n)).\nAnswer: 3*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 4 + a7352a?\nAnswer: a73533","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -4312709 and 0.2?\nAnswer: 4312709.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 4636033867 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: ((-60)\/(-720))\/((-2)\/(-3))\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -k - 7 = 3*v - 6*k, 3*k - 9 = -3*v. What is the units digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -457, -901, -1357, -1831, -2329, -2857, -3421?\n\"Answer: -i**3 - 437*i - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 6923\/43*((-1)\/14)\/((-6)\/12)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 29858 is divided by 622?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 136 minutes after 1:13 AM?\nAnswer: 3:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -15*(-23 - -22) + -24.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 5*z**4 - 67*z + 67*z + (-4*z + z + 2*z)*(-2*z**3 + 2*z**3 - 2*z**3) + 0*z**4 - 6*z**4 + 3*z**4.\nAnswer: 4*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 690240 or 690238?\nAnswer: 690240","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 65 - 47. Suppose -23*k + o = -21*k. Suppose -4*t = -k*t + 10. Solve a - 10 = -4*b - t*a, 0 = 3*b - 4*a - 20 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*u - 9 = n + 4*n, -3 = -5*n + u. Which is the fifth smallest value?  (a) 3  (b) n  (c) -5  (d) -3  (e) -0.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 67, 69, 71, 73, 75, 77?\nAnswer: 79","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Put 0, 10, 26, 4, 34 in decreasing order.\nAnswer: 34, 26, 10, 4, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let s(l) = 119*l. What is the units digit of s(1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, -15743, -4, -3, -194 in ascending order.\nAnswer: -15743, -194, -5, -4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 1428 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*a + 6 + 8 = 0. Let k(j) = j**3 - 7*j**2 - j - 2. Let g be k(a). Let t = g + 17. Calculate the remainder when 22 is divided by t.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4236 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Factor c**3\/2 + 3639*c**2\/2 + 872039*c\/2 - 875679\/2.\nAnswer: (c - 1)*(c + 259)*(c + 3381)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*d - 5*t = 12, -3*d + 0*d + 5*t = -14 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 705610 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 33629.\nAnswer: 33629","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 5, 26, 51, 74, 89?\nAnswer: 90","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-38)\/361 - (39 - 25191\/513).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -y**3 - 1050076*y**2 + 1074*y + 43?\nAnswer: -6*y - 2100152","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-6)\/(84\/(-7)))\/((-1)\/4).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5 = 14*i - 9. Calculate the common denominator of 29\/20 and (i\/28)\/(-1*3\/90).\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (4 - 5 - 6) + 5 - -7?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 130 minutes before 5:39 PM?\nAnswer: 3:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q*((((q\/q**3)\/q)\/q)\/q)\/q)**(-23)\/(q**(-3\/4))**(1\/85) assuming q is positive.\nAnswer: q**(39103\/340)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let l(s) = 9*s**5 + 5*s**3 + 5*s**2 - 10*s. Let j(b) = 5*b**5 + 3*b**3 + 3*b**2 - 5*b. Let x(a) = -5*j(a) + 3*l(a). Find the second derivative of x(v) wrt v.\nAnswer: 40*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 30\/75*1\/2?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 606426.\nAnswer: 2, 3, 53, 1907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Work out -21.2 + -166744963.\nAnswer: -166744984.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -191 + 199. Suppose -s*r + 4*r = -5*q + 8, -8 = -2*q. Solve -3*f = r*f + 30 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -30554 + 5?\nAnswer: -30545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*i = -3*u + 9, -3*i = -6*i - 9. Which is the nearest to 0.1?  (a) -4  (b) u  (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(z) = -610*z + 200076. Give v(328).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3\/8, 4, -279\/7 in descending order.\nAnswer: 4, 3\/8, -279\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -13 + -424142?\nAnswer: -424210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*q - 4*i - 44 = 0, 4*q - 5*i + 151 = -10*i + 107 for q.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (1548\/27)\/43*63\/(-4).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 69778 is divided by 5367.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 55 + -55.01. Which is the third biggest value?  (a) 4  (b) k  (c) 0.4  (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(y) = 2*y**2. Let k(r) = -566*r**2 - 7*r - 2. Calculate k(q(p)).\nAnswer: -2264*p**4 - 14*p**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*j + 9591 = 3*l - 0*l, 3*l = 5*j + 9639. Is l a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1\/(-2)*112\/(-14).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 199?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Convert -9825 (base 13) to base 3.\nAnswer: -1002000120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-6 - -13) + (7 - 4)*-2. Is l bigger than -252\/13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*a - 32 = a - 2*s, 0 = -5*a - 4*s + 84. Solve 6*m - m - a = 0 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 0.4 at least 0.49978?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let q(w) = -7*w**3 - 2*w**2 - 27*w - 318. Does 16 divide q(-11)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 0.467 + -0.167. Which is smaller: k or 6?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange z + 119 - 3*z + 7 to d*z + q and give q.\nAnswer: 126","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 198170*t + 11*t**2 + 198145*t - 396315*t.\nAnswer: 11*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: 1881 divided by -171\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let r(b) = -274*b - 479. What is the units digit of r(-64)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -3136*a**6*n - a**4*n + 33*a**2*n + 410*a**2 wrt a?\nAnswer: -376320*a**3*n - 24*a*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 3251668 greater than 3251668?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let m(c) = 12 - 2*c + 6*c + 15 + 0*c. Let p be m(-6). Determine l so that 1\/4*l - l**2 + 3\/4*l**p + 0 = 0.\nAnswer: 0, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from xeexxtexeex. What is prob of picking 1 t and 3 x?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 0.3 + -0.2. Suppose -2*o + 4*l - 66 = 0, 13301 = 2*o - 5*l + 13368. Which is the nearest to -2?  (a) -5  (b) x  (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(y) = -2*y. Let p(j) be the second derivative of 0 + 5\/6*j**3 + 0*j**2 - j. Give p(k(r)).\nAnswer: -10*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Factor 1\/6*n**2 - 5\/2 + 7\/3*n.\nAnswer: (n - 1)*(n + 15)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1943*k = -2012*k - 828 for k.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*c = -3*j + 3, -j - 4*c - 17 - 7 = 0 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Divide 4 by 3949363.\nAnswer: 4\/3949363","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -12, -21, -28, -33?\n\"Answer: f**2 - 12*f - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a(q) = q**3 + 12*q**2 - 2*q - 17. Let m be a(-12). Let u(o) = o**3 - 12*o**2 - 6*o + 9. Let r be u(m). Let k = r - -401. What are the prime factors of k?\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -662370 = -10*u + 190570. Let b = u + 42706. What is b rounded to the nearest 10000?\nAnswer: 130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1086121588 to the power of 1\/4, to the nearest integer?\nAnswer: 182","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -1010011010010 - 1?\nAnswer: -1010011010011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((w*w\/(w**(3\/7)*w)*w)\/w)\/w**(3\/5))**(-23\/2)\/(w**6\/(w**2*w*w))**(2\/15) assuming w is positive.\nAnswer: w**(13\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -81, -91, -105, -123, -145, -171?\nAnswer: -201","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*u + 71 - 31 = 5*w, 3*w = -3*u - 3 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n**(4\/13))**(3\/23)\/(n\/(n*n**(-2)))**17 assuming n is positive.\nAnswer: n**(-10154\/299)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 9232 and 16733.\nAnswer: 267728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o*o**(-2)*o*o*o**(4\/5)*o)\/((o\/o**8)\/o**(-3\/8))*(o**(-6)\/o**(-3))\/(o**(1\/3)\/(((o\/o**0)\/o)\/o)) assuming o is positive.\nAnswer: o**(611\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*t = 5*i - 67, -9*t + 7*t + 37 = -i. Calculate the remainder when 64 is divided by t.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -986*r + 994*r - 40 = 0 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence bcp when three letters picked without replacement from cbbrepbbbr.\nAnswer: 1\/144","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let v(u) = 372*u**2 + 3*u - 3. Does 15 divide v(1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (4\/(-54))\/(54\/324)?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 13*g + 135*g - 4 + 3*g - 18*g.\nAnswer: 133*g - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let o(r) = 6*r - 1. Let y(q) = -2*q. Suppose -8 = -7*x + 3*x. Let a(h) = x*o(h) + 5*y(h). Differentiate a(m) wrt m.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -476 - -473. Suppose -x = q - 3, 2*q + x = 2*x - 3. Let g be (-6)\/4 + (-5)\/(-10). What is the fourth smallest value in -1\/2, t, q, g?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 178, 173, 166, 157?\nAnswer: 146","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2*l + 3*l + 1 - 4*l + (4*l + 3*l - 5*l)*(-2 + 6 - 3) to the form n + k*l and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1*((2*sqrt(171) + sqrt(171))*-3*-1)\/(-5*1*sqrt(36))*3 + 1.\nAnswer: 1 + 27*sqrt(19)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 201 + -12131021?\nAnswer: -12130220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let i(n) = 2*n**3 - 68*n**2 + 2*n - 66. Let k be i(34). Solve -3*l = -k*m + 3*m - 18, m + 2*l - 13 = 0 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4 + 1 - 6)*(2*w + 2*w + 0*w)*(-918*w + 762*w + 511*w).\nAnswer: -1420*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*p + 25 = 5*t, 3*t - 3*p - 6 = 3. Suppose -2*q = -t - 4. Suppose -2*w + 77 = 13. What is the highest common divisor of w and q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(c) be the first derivative of -4*c**2 - 17*c - 724. Determine t(-2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 581 minutes before 2:44 AM?\nAnswer: 5:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let k(n) = 52*n - 3. Let w(q) = q. Let y(i) = k(i) + 5*w(i). Let p(b) = 2*b. Determine p(y(j)).\nAnswer: 114*j - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n*n*n*n**(-15)*n*(n**(2\/77)*n)\/n)**(-41) assuming n is positive.\nAnswer: n**(34645\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: 3.7 times 1323\nAnswer: 4895.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 259005140?\nAnswer: 2, 5, 431, 30047","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 9846 and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 29407523.\nAnswer: 29407523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 8837.89 and -5.\nAnswer: -44189.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 44 + 2 + (-272)\/17. Solve u*r + 10*r + 80 = 0 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(f) = -21*f**3 - 2*f**2 - f. Let o = -84 - -231. Suppose -o = -g - 148. Give z(g).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, -5, -2, 3, 4, -227, -761 in descending order.\nAnswer: 4, 3, -1, -2, -5, -227, -761","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:04 PM and 9:50 PM?\nAnswer: 406","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*g - 5 = -15. What is the biggest value in -0.08, g, 2\/15?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -1736 + 1735. Sort s, -0.5, 1851.\nAnswer: s, -0.5, 1851","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 33*g = 34*g - 658. Suppose 4*r = 2*r + g. Is r a multiple of 47?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -140*c**2 + 1890*c**2 + 969*c**2.\nAnswer: 2719*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*f - 1 = -4*b + 2*f, -f = -5*b - 1. Are -66 and b nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 46?  (a) 3809  (b) -4\/3  (c) -0.5  (d) 7\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2 in 5, 2\/3, -1\/2, -0.1?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -o = 4, -4*x + 29028 = 2*o - 27896. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1593560 is divided by 436?\nAnswer: 416","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Does 299 divide 13532555?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let w(r) = -r**3 + 14*r**2 + 490*r - 6850. Let y be w(14). Which is bigger: 999 or y?\nAnswer: 999","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 14*d - 13*d - w - 4 = 0, 8 = 2*d + 4*w for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*d - 2*d - 4*d)*(-440 - 431 + 150).\nAnswer: 5768*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in seven sixths of a century?\nAnswer: 1400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -12302 + 1221?\nAnswer: -11021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -10.7911 and -0.5.\nAnswer: 5.39555","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let q(a) be the second derivative of 1\/42*a**7 - 4\/3*a**4 - 3 + 2\/7*a**3 - 9\/35*a**6 + 8\/7*a**2 + 131\/140*a**5 + 4*a. Find g, given that q(g) = 0.\nAnswer: -2\/7, 1, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 3 + 212\/12 - 2\/(-6). Find the third derivative of -f*v**5 - 30*v**2 + 125*v**4 - 125*v**4 wrt v.\nAnswer: -1260*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3492?\nAnswer: 2, 3, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 14833336?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -2*b**5 + 5516*b**4 + 3*b**3 - 120*b**2 - 2*b - 7 wrt b?\nAnswer: -120*b**2 + 132384*b + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1927280?\nAnswer: 2, 5, 24091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(3) - (sqrt(9)\/sqrt(27))**2)*1.\nAnswer: -1\/3 + sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 1065 and 4335?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10 = 4*z + z. Solve -o = z*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*m + b = 2*b - 403, 2*b - 6 = 0. What is the units digit of m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 66366849 = -5*z - 58133151. Round z to the nearest one million.\nAnswer: -25000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (7*b - 9*b - 10*b)*(-2*b**2 - 1 + 1) + (-2*b**2 + 0*b**2 + 0*b**2)*(-5*b + 3*b + 0*b) + 0*b**3 + b**3 - 3*b**3.\nAnswer: 26*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-5568)\/(-4176))\/((-3)\/((-54)\/(-8))).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many millennia are there in 924351.2 decades?\nAnswer: 9243.512","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert 3 (base 16) to base 13.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 387 minutes after 1:28 PM?\nAnswer: 7:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 2004\/659 less than or equal to -7\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -l + 0 + 1 = 2*v, -5*v + 8 = -3*l for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let d(l) be the third derivative of l**7\/630 + l**6\/120 - 3*l**5\/10 - 18*l**2. Let k(w) be the third derivative of d(w). What are the prime factors of k(11)?\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 29\/4?  (a) -1\/2  (b) -6  (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1\/5752 or -33\/19?\nAnswer: -33\/19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -2522, -5123, -7788, -10547, -13430, -16467, -19688?\n\"Answer: -5*j**3 - 2*j**2 - 2560*j + 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -4178 or -8355\/2?\nAnswer: -8355\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 58092134 and 10?\nAnswer: 290460670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*z + 1280 = 508. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 4398142326?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-1 - -2)*(-3 + 7). Suppose 5*j + 0 = 5*l - 105, 2*j - 60 = -x*l. Suppose 5*o - l = 28. Is 9 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 times 5.46?\nAnswer: -5.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4520376 - 4520376 - 108*t + 48*t + 44*t.\nAnswer: -16*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*p + 2 = -0*p. Let h(a) be the first derivative of -15*a**2 - 44. What are the prime factors of h(p)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*f - 5*q + 30 = 0, -f - 4*q = -0*f - 13. Solve 2*p - f = 3*p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, 4, -3562, -36, 1.\nAnswer: -3562, -36, 0, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: 14 + (9 - (-17 - -6 - -33) - 0) + -83\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 0.8099 + -0.5302. Let h = 0.12 - -0.16. Let l = r - h. Round l to 3 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.3*-122\nAnswer: -36.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -3?  (a) -4  (b) -454.1  (c) 0.16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 50932974?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 428 minutes after 8:19 AM?\nAnswer: 3:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 6*c - 0 - 18 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 6140686?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*c + 28 = -5*c + 4*f, -5*f - 11 = 2*c. Let d = -4 - c. Suppose 2*k - 5*k + m = -69, d*k - 76 = -4*m. What is the lowest common multiple of k and 2?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(b) = 5 - 1 + 0*b**3 + 3*b**2 + 7*b - b**3. Let q be h(-4). Suppose 2*i = -2*j - 2*i + 14, 50 = 4*j - 3*i. Calculate the highest common factor of q and j.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(s) = 4*s + 125. Suppose 3*i = -3*l + 63, -4*l + 8*l + 20 = 0. What is the remainder when r(0) is divided by i?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 135136 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 232 + -207. What is the remainder when 71 is divided by v?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -68*f + 1 = -69*f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*k + 39811 + 77279 = 0. Suppose 3*q - 7*x - 11669 = -2*x, 5*x = -5*q + k. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 406 a factor of 14440202?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -2005 - 10023423?\nAnswer: -10025432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -72 = -378*k + 384*k. Let j be (45\/k + 3)\/((-3)\/12). Solve -4*i = -7*i + j for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(q) = 2*q**2 + 8*q - 4. Suppose 15 = 3*o, 2*o - 40 = -0*i + 5*i. Calculate the lowest common multiple of ((-18)\/(-21))\/(6\/42) and h(i).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.08 times -0.1\nAnswer: 0.008","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 405691?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*g + 4*h + 9190 = 0, 4*g + 5*h = -0*h + 7352. List the prime factors of g.\nAnswer: 2, 919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (12\/10)\/(4\/(-10))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x(k) = -28*k + 75. Let n(u) = -9*u + 1. Let b(f) = -4*n(f) + x(f). What is b(-7)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 236333787 is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*y + 3*y - 35 = -5*z, 2*z - 4*y = -4. Suppose 3*c = 5*c - z. Factor 6*m - 4*m - c*m**3 + 3*m**5 + 3*m**5 - 4*m**5.\nAnswer: 2*m*(m - 1)**2*(m + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:16 PM and 4:08 AM?\nAnswer: 292","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*y - 0*y - 8. Let l be y\/10*(-3 + -7). Differentiate 8*c - 3 + 27 - l - 4*c with respect to c.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 h and 2 b when three letters picked without replacement from {l: 1, b: 11, h: 5}?\nAnswer: 55\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2 + 2 + 34*n + 26*n.\nAnswer: 60*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: -ee (base 16) to base 15\nAnswer: -10d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, 25, 1, -7, 5 in descending order.\nAnswer: 25, 5, 1, -1, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 217\/(-310)*8\/14.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 31 - 61\/2. Let z = -125 - -112. Does z = g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-462)\/(-9)*(-50)\/(1100\/33).\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 9 + -12 + (-8 - -20)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i(t) = -26*t - 68. Calculate the smallest common multiple of i(-3) and 10526.\nAnswer: 52630","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w*w**(-8)\/w)\/w*w*(w*w*w\/w**(-11)*w)\/w*(w\/w**6)**(-7) assuming w is positive.\nAnswer: w**41","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 32029088 and 22984?\nAnswer: 1768","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -453365*j**4 + 459882*j**2.\nAnswer: -10880760*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 714 - 716. Which is the nearest to t?  (a) -2\/13  (b) -0.13  (c) 4\/3  (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 1\/155 + -323\/2015. Let i = 0.02 + 4.98. Let u(m) = -28*m - 52. Let g be u(-2). Which is the second biggest value?  (a) x  (b) i  (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sum -13.676 and 0.\nAnswer: -13.676","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 638 is divided by 394?\nAnswer: 244","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let u(z) = -17*z**3 - 87*z**2 + 153*z - 62. Let g(l) = -11*l**3 - 57*l**2 + 102*l - 41. Let y(a) = -14*g(a) + 9*u(a). Give y(-18).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -1739 + 1920. Does 45 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(k) = -24*k**2 + 92*k + 623. Calculate g(-7).\nAnswer: -1197","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is -14020134 (base 6) in base 2?\nAnswer: -1110010100011011010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.01928971 to 5 dps.\nAnswer: -0.01929","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 2103 - 2101. Solve q*m - 30 = 4*m - 5*x, 4*m = -5*x for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7*h - 2*h + 40 = -17*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -34808 + 34810. Solve s - 6 = -5*o + 9, 16 = 4*s - a*o 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 107, 169, 231, 293?\n\"Answer: 62*l + 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Round -3128.6 to the nearest one thousand.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 3493182?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -70*x - 2 + 0 + 4 + 159*x.\nAnswer: 89*x + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*m + 16 = 3*m. Let p = -30 + 35. Let g(s) = -s**3 + 6*s**2 + 6*s - 10. Calculate the remainder when g(p) is divided by m.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 18787 is divided by 86.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 230311534?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: -35514 divided by 10261\nAnswer: -35514\/10261","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.000005565916 to 6 dps.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1084 - -13.798.\nAnswer: 1097.798","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 12\/((-2)\/3*9\/(-76)).\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(d) = -655*d - 5900. Give h(-9).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -v**4 + v**3 + 0*v**2 - 2*v**2 + 11*v - 7*v to the form f*v**2 + s + d*v**3 + n*v + l*v**4 and give n.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let 4*h**2 + 392*h + 3204 = 0. Calculate h.\nAnswer: -89, -9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 242*y = 250*y - 16. Calculate the lowest common multiple of 24 and y.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -139, -149, -159?\n\"Answer: -10*u - 129","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q(n) = -n**3 - 56*n**2 + 117*n + 51. What is q(-58)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let c be ((-54)\/4)\/(-9)*2. What is the tens digit of (3\/c - 0)*49?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (1089\/22)\/(-33)*(110\/102 - 1)?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(b) = b**3 + 2*b**2 - 4*b - 1. Let k be r(-3). Calculate the lowest common multiple of (0 + 60\/9)*3 and k\/(-7) - (-88)\/14.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(d) = 4*d**3 + d - 1. Let o = 4 - 3. Let t be q(o). Suppose -g + t*a + 53 = 0, -3*g + 3*a = -0*g - 159. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 3 - 2.9. Let d = -0.01 + -0.19. Let n = -167\/415 + 1\/415. Which is the closest to n?  (a) d  (b) -4  (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 + 0 - 2*y)*(-13*y + 13*y + 8*y**2).\nAnswer: -16*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*x - 2*x - x)*(-5 - 5 + 3)*(2 - 3 + 2).\nAnswer: -7*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let l(d) = d**3 + 6*d**2 + 5. Let y be l(-6). Suppose 3*k + p - 3*p = -22, -58 = y*k + 2*p. What is the units digit of -2*k\/8*2?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 30812 is divided by 371?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -1 - -5. Let c = 11 - x. What are the prime factors of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n**(-1\/38)\/(n\/(n\/(n**19\/n)*n)*n))**(-2\/109) assuming n is positive.\nAnswer: n**(685\/2071)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let 2*f**3\/13 + 12189204*f**2\/13 + 1428622996800*f + 37144149160000\/13 = 0. What is f?\nAnswer: -3047300, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*p + 5*p - 2*p)*(14*p**2 - 4*p**2 + 2*p**2).\nAnswer: 12*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Sort -13, 2\/7, 0, 0.3, -1120 in descending order.\nAnswer: 0.3, 2\/7, 0, -13, -1120","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from swswjsdiwzwjwjiwizss. Give prob of picking 1 w, 1 i, and 1 d.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1160 = -1072*u + 1112*u for u.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15*r - 7*r = 8. Let i be (r*9\/(-15))\/(-2 + 3). Let m = -1.1 - -1.1. Which is the closest to m?  (a) i  (b) -4  (c) -9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(y) = y**2 + 15*y - 7. Let f be g(-20). Let h be f\/4 - 4\/16. Let a = -13 + h. 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: b\"What is the zth term of 263, 528, 793, 1058, 1323?\n\"Answer: 265*z - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*z + 11603*z**2 + 20048*z**2 + 9*z - 3874*z**2 - 11*z)*(z - z + 2*z).\nAnswer: 55554*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 71530 - 71497 = 11*n. Suppose 9 = 5*f + 3*d, 3*f + 3 = 4*d - 9. Factor -4\/5*w**5 - 1\/5*w**2 + 1\/5*w - 11\/5*w**4 + f - 9\/5*w**n.\nAnswer: -w*(w + 1)**3*(4*w - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -552271*c**2 - 46*c + 2587 wrt c.\nAnswer: -1104542","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let n(g) = -2*g - 11. Let z(h) = -6*h - 32. Let a(d) = -11*n(d) + 4*z(d). Let p be (28\/(-3))\/(10\/(-15)). Suppose -4*r - 2*l = p, -6 = -4*l + 2*l. Give a(r).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-3)\/91*-16*(-70)\/(-480)?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-9)\/(-126)*(-294)\/(-252))\/((-8)\/(-544)).\nAnswer: 17\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n(u) = u**3 - 7*u**2 - 8*u + 2. Let y be n(8). Suppose -42 = y*h + 3*t, -4*h + 0*t + 3*t = 48. Let f = h + 28. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {d: 1, m: 4, s: 2, o: 1}. Give prob of picking 1 o and 2 m.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: -13 * -182\nAnswer: 2366","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let h(j) = 11709171*j. Let n(y) = 14*y**2. Give h(n(c)).\nAnswer: 163928394*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose y - 1036 = 15*y. Let c = y - -169. What is the greatest common factor of c and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*x + 2*x - 4*x)*(0*x + x + x + (x - 4*x + 4*x)*(2 - 1 + 0) - 4*x + 2*x + 0*x)*(100*x - 430*x - 388*x).\nAnswer: 1436*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 84913 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 0.2  (b) 3  (c) 2  (d) -21  (e) 14.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 10791 and 519167?\nAnswer: 4672503","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let m(b) = 106*b**2 - 16*b + 23. Let k be m(7). Calculate the greatest common factor of 5 and k.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -0.15 + 0.12. Let f = -0.83 - x. Let w = f + 0.7999991. Round w to six decimal places.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 24959731 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ks when two letters picked without replacement from sxgkoob.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -146*f**2 - 2*f - 169*f**2 - 88*f**2.\nAnswer: -403*f**2 - 2*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 553 minutes before 4:26 AM?\nAnswer: 7:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 1101121020001 - 2110?\nAnswer: 1101121010121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i*i*i*i**(-1)*i*i)**44*(i\/(i*i**3*i)*i)\/((i*i\/i**6*i*i)\/i)*((i\/(i**(2\/3)*i)*i)**(-3\/22))**8 assuming i is positive.\nAnswer: i**(1932\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*o = 16*u - 97, 394*u - 399*u = 5*o - 20 for u.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -29\/43008 and -13\/6144.\nAnswer: 43008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is -4 times 13.67?\nAnswer: -54.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2484883.2 months to decades.\nAnswer: 20707.36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i(p) = 115*p + 16. Is i(7) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-4 - (2 - 5)) + -22 - (2 - 9)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m(v) = v**3 - v**2 - v + 4. Let y be m(0). Let d(l) be the third derivative of -l**5\/30 + l**4\/12 + l**3 - l**2. Let o(n) = -n**2 + 1. Give y*o(r) - d(r).\nAnswer: -2*r**2 - 2*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 1 + 36*m**4 - 13*m**4 - 15*m**4 + (-3 + 3 - 2*m)*(-24 + 24 - 16*m**3) to r*m**4 + t*m**2 + k*m**3 + q + g*m and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (5 + -8 + 3)\/1. Let o(x) = 800*x**3 - x**2 + 1. Let g be o(1). Suppose -4*v - g = -y*v. What is v rounded to the nearest 1000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 23\/2 + -113\/10. Factor -2\/5 + 2\/5*a**2 + 1\/5*a**3 - r*a.\nAnswer: (a - 1)*(a + 1)*(a + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -903000 to the nearest 10000.\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 29 and 4502071?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -4129, -8256, -12381, -16504, -20625, -24744?\nAnswer: -28861","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3*a - 21124*a**2 - a**3 + 4*a + 21709*a**2.\nAnswer: -a**3 + 585*a**2 + a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: -3010 (base 6) to base 15\nAnswer: -2d9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 - 23*u - 4 + 25*u)*(6*u**3 + 4*u - 4*u**3 - 2*u).\nAnswer: 4*u**4 - 8*u**3 + 4*u**2 - 8*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) 39  (b) -5.3  (c) -4  (d) 18  (e) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let q(x) = 2*x + 2. Let a(b) = -8*b - 263. Let z(w) = -a(w) - q(w). Let t be z(-26). Is 0.2 bigger than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: 99 - -1488896173\nAnswer: 1488896272","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*l + 39 = j + 31, -4*j + 18 = l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is -324\/2801 greater than 2\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 7543259 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Express 7*x**2 + 7*x**2 - x**2 - 2*x**2 in the form a*x + y*x**2 + q and give y.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*n + s - 79 = n, 3*s = 2*n + 41. Let h = n - -20. Let w(k) = -k**2 - 6*k + 9. Calculate w(h).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1000121102001 (base 3) to base 2\nAnswer: -10000100101010101011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 1150 a factor of 1732736231?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 2180 a factor of 945721060?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Convert 520350 (base 7) to base 2.\nAnswer: 10101101110111011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-2)\/(-5) + 8\/5. Suppose 0 = -16*f - 348 + 1068. What is the third derivative of 3*r**6 - 74*r**2 + 8*r**6 + f*r**t + 43*r**2 wrt r?\nAnswer: 1320*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from jjjqjqjjjjjjqqjqjq. Give prob of picking 1 q and 1 j.\nAnswer: 8\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let s(x) = x**2 - 8*x + 8. Let d be s(7). Let f be (976\/(-4026) - 0\/(-1)) + (-3)\/(-9). Let j be 1\/(-4) - 2\/8. Which is the closest to 2?  (a) f  (b) d  (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:29 PM and 11:34 PM?\nAnswer: 485","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -6204, -12441, -18680, -24921, -31164, -37409, -43656?\nAnswer: -49905","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p(v) = 2*v**2. Let l(f) = 2*f**2 - 4*f + 1619603. Determine l(p(d)).\nAnswer: 8*d**4 - 8*d**2 + 1619603","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 53 + -38. What are the prime factors of p?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {k: 1, h: 3, a: 1, m: 1, r: 2, s: 8}. Give prob of sequence arh.\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of (-528)\/(-154)*((-2)\/42)\/(2\/(-8)) and 115\/756?\nAnswer: 5292","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 16*f**3 - 72102*f**2 - 72964270*f?\nAnswer: 96*f - 144204","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 5 plus 2377?\nAnswer: 2382","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let d(p) = -p**2 + 8*p - 1. Let a(z) = 4*z**2 + 4*z. Let j = -18 - -16. Let x be a(j). Determine d(x).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4*(sqrt(1088) + 1*sqrt(1088)) - (2 + (1 + sqrt(1088))**2 + sqrt(1088)).\nAnswer: -1091 - 88*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -444*q + 450*q = 42 for q.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-3)\/(35\/(-10) + 2). Factor 2\/5*z**v - 2\/5*z + 2\/15 - 2\/15*z**3.\nAnswer: -2*(z - 1)**3\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2.8201*0.1.\nAnswer: -0.28201","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 7165*t**6 + 2*t**5 - 22121*t**2 + 2*t + 1?\nAnswer: 859800*t**3 + 120*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -1491696 divided by -18416?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 281, 2238, 7509, 17750, 34617?\n\"Answer: 276*y**3 + y**2 + 22*y - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 divided by -60?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -13*g + 18 + 21. Let n(i) = -i**3 + 2*i**2 + 3*i + 4. Let r be n(g). Solve -r*p + 4*b + 12 = 36, -4*b + 14 = -2*p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(s) = -24*s**2 + 376*s + 5. Let d(i) = 22*i**2 - 188*i - 3. Give 5*d(p) + 3*l(p).\nAnswer: 38*p**2 + 188*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of ((-15)\/9)\/(2*(-2)\/12) and 8?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*x - 3*z + 397, 2*x - 7*x + 398 = 2*z. What are the prime factors of x?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -14772*r**5 + 3*r**3 + 8233*r - 1.\nAnswer: -295440*r**3 + 18*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let j(q) = q**2 - 61*q + 552. Give j(11).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 202 minutes after 3:40 PM?\nAnswer: 7:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 172442156?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 17346631019 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 17813.4 micrometers in centimeters?\nAnswer: 1.78134","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 6256 is divided by 35?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let m(p) = -5*p - 12. Calculate the lowest common multiple of 88 and m(-6).\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 63055169.\nAnswer: 197, 331, 967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 5 - (-26 + 22 - (0 + -5))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 50392 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 88*j - 32*j - 25*j - 32*j.\nAnswer: -j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1251461.\nAnswer: 1251461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -368 = -4*w - 4*l, 2*w = w - 3*l + 88. What is the smallest common multiple of 18 and w?\nAnswer: 846","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1242*s + 300 = -1267*s for s.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 1\/((-3)\/4)*-3. What is the greatest common divisor of b and 16?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2 + sqrt(931))*2.\nAnswer: -4 + 14*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is -27 not equal to -19?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let y(u) = u**2 - 398*u - 10124. Calculate y(-24).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let i(p) = p - 19. Let l = -1838 - -1864. What is i(l)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(p) = -p**3 + p**2 + 7*p + 1. Let f be q(3). Let w(m) be the second derivative of 1\/3*m**f + 3*m + 0*m**2 + 0 + 0*m**3. Let l(r) = 3*r. Calculate w(l(j)).\nAnswer: 36*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t\/t**(-1))**(11\/4)\/((t**8\/t*t)\/(t*t*t**(1\/9))) assuming t is positive.\nAnswer: t**(-7\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 4.275531 millilitres?\nAnswer: 0.004275531","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -38183 divided by -6.\nAnswer: 38183\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Does 21 divide 7349?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -0.78 + -0.25. Let r = -0.03 - w. Which is smaller: -2 or r?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence dn when two letters picked without replacement from ddzzdzlnanyzzddlzdd?\nAnswer: 7\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in 111, -2\/67, 4.3, 1\/5, -3, 0.02?\nAnswer: 4.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -237*g - 193 - 578 = 711 - 297 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: 0.4 * -26\nAnswer: -10.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let b be -1*177 - 0\/1. Let f(k) = -k**2 - 2*k + 21. Let y be f(0). Let u = y - b. What is the tens digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 5902273 to the nearest integer?\nAnswer: 2429","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 945 divided by -7.\nAnswer: -135","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -1673 + 1802. What is the remainder when 514 is divided by c?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-12 - (4 - -7)) + 7 - 1?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 22\/(((-4)\/6)\/(-1))?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Total of -1.66695 and -0.3.\nAnswer: -1.96695","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-20 + 30 + 82)*(3 - 5 + 4)*(t - 3*t + t)*(-15*t + 20*t - 14*t) - 6*t**2 + 4*t**2 + 4*t**2 to the form x*t + p + m*t**2 and give m.\nAnswer: 1658","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 3 a factor of 562?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -15 + 22. Solve -4*t = -1 - p for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -1 + -11. Calculate the remainder when (a\/(-16))\/((-2)\/(-16)) is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(v) = v**3 + 7*v**2 + v + 9. Let i be (-4)\/(-6) - (-77)\/33. Let c be i\/(-4 + 3) - (-16)\/(-4). Calculate x(c).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(o) = -o. Let d(j) = 13452*j. Give d(q(m)).\nAnswer: -13452*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -55*q + 308*q - 253*q + 18*q**2.\nAnswer: 18*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Round 208277.955 to the nearest 10.\nAnswer: 208280","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-42)\/(-49))\/(475\/(-175))?\nAnswer: -6\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be -2 - -2 - (7 + -29). What is the highest common factor of w and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -0.1  (b) -0.5  (c) -20  (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 440 + 1240?\nAnswer: 2230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6512 = 838*t - 6094 + 1712 for t.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 12520, 24918, 37306, 49678, 62028, 74350?\nAnswer: 86638","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is three tenths of a hour in minutes?\nAnswer: 18","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 72846 is divided by 221.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let z(s) = -2*s**3 + 3*s**2 + 44*s - 1. Suppose 141 = -67*f - 72 - 55. Give z(f).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1657 in 2\/251, -4, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1860 is divided by 38.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -78 - -73. Let u(h) = -4*h - 15. Let a be u(q). Suppose -a*i = -d - 369, 3*d + 81 = i + d. What is the units digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 872?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -1\/2633 + -113098\/318593. Let d = -12022\/3 - -1058065\/264. What is the common denominator of g and d?\nAnswer: 968","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: -5375255 (base 9) to base 10\nAnswer: -2884136","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1811?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let v(x) = 29*x + 71. Let h(n) = -22*n - 52. Give -11*h(r) - 8*v(r).\nAnswer: 10*r + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*b + 8 = -2*n, 10*b = 9*b + 5*n + 20. Suppose 0*x + 24 = x. Solve -1 = -3*t - a, -4*a + b*a - x = -2*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 10090 (base 10) to base 3\nAnswer: 111211201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 16 a factor of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3811?\nAnswer: 37, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1\/((-33)\/(-36))*(-253)\/(-46).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -224*o + 232*o = 28304. Is 58 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3*(-10)\/3*(-103)\/(231750\/(-200))?\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1640?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -84 - -679. What is the units digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1653 is divided by 409.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -45 = -3*q + 3*u, 2*u - 3*u + 37 = 3*q. Suppose -h = -x - 6, -5*x - q = 2*h - 2*x. What is the common denominator of -25\/2 and (-500)\/272 + (-10)\/8 + h?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {m: 4, q: 1, r: 1, p: 1, u: 1}. Give prob of sequence qpr.\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 4 + -6. Let v = a + 1. Suppose -3*j + 2*b = -4*j + 1, -5*j + b = -27. What is the third smallest value in v, j, 2\/7?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -658317099 greater than -658317100?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: ((-1)\/(-26))\/(4\/16)*(-19812)\/1524\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (9\/6)\/((-17)\/(-34)) - -1497. What is the greatest common factor of 25 and k?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose s = -3*s + 8. Suppose -26 = 5*u + 2*w, 133*w - 128*w = -5*u - 35. Put 3, s, u, -30 in decreasing order.\nAnswer: 3, s, u, -30","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 8 - 34 - 476163*x + 476163*x - 4*x**2.\nAnswer: -4*x**2 - 26","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 840403172 to the power of 1\/7, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 1.1 and 348.4?\nAnswer: 383.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from xuuuxuxuxxxxxxxxux. Give prob of picking 1 x and 2 u.\nAnswer: 15\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*m + 5*m + 2*p = -7, 5*m = -3*p. Suppose 5*w - 13 = 3*o, 6*o - m*o - 22 = -2*w. Solve -2*u = o*a + 20, 7*a - 2*a = u - 18 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) 2036  (b) -1  (c) -4  (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -41*a + 43 = -285. Let u = 19 - 9. Suppose -a*w = -u*w + 188. List the prime factors of w.\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2?  (a) 2  (b) 6567  (c) -2  (d) -21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 322225 + -322204. Let p = 0.9 - 1. Which is the closest to p?  (a) -3\/4  (b) -2\/7  (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine o, given that 8\/11*o + 2\/11 + 8\/11*o**3 + 2\/11*o**4 + 12\/11*o**2 = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(n) be the first derivative of n**6 - 52*n**5\/5 + 22*n**4\/3 + 208*n**3\/27 - 64*n**2\/9 - 528. Suppose y(p) = 0. Calculate p.\nAnswer: -2\/3, 0, 2\/3, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: 21\/14*40\/15\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l(i) be the second derivative of 1\/3*i**3 - 317*i + 0 - 9\/2*i**2. Calculate l(6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 184 and 18676?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -12051 - 40?\nAnswer: -12131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let w(u) be the first derivative of -u**6\/2 + 21*u**4\/4 - 2*u**3 - 18*u**2 + 24*u + 23. Solve w(s) = 0.\nAnswer: -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(275)\/((sqrt(77)*1)\/sqrt(7)))\/(-4*sqrt(20)*5).\nAnswer: -sqrt(5)\/40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 14989.305 - 3.87?\nAnswer: 14985.435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let c(l) = l**3 - l**2 + 4*l + 8. Determine c(0).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: 14598821 divided by 16\nAnswer: 14598821\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 3045.56126272 from -3985.\nAnswer: -7030.56126272","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 1102826 to the power of 1\/3, to the nearest integer?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -272962 - -701062. What is b rounded to the nearest ten thousand?\nAnswer: 430000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 27634 - -9672. What is the units digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 40055 is divided by 1167?\nAnswer: 377","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -1105*j**6 - 21*j**2 - 7*j.\nAnswer: -132600*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 115127097 divided by -3.\nAnswer: -38375699","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -4 - ((9 - 9) + 0)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-11 + 21 + 28)*(-o**2 + o**2 - 2*o**3) - 8*o**3 + 256*o**3 - 44*o**3 to b*o**2 + u*o + n + y*o**3 and give y.\nAnswer: 128","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 6 + (36\/120)\/(1*(-6)\/1112). Which is smaller: -49 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(m) = m**3 - 13*m**2 + 30*m + 12. Calculate i(10).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let k(p) = -3*p - 105. Let n(b) = -96*b + 2. Give n(k(m)).\nAnswer: 288*m + 10082","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -y + 15*y = 2*f + 315 - 279, -313*y = -f + 3*f - 945 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*k**2 + 30312*k + 544644.\nAnswer: 3*(k + 18)*(k + 10086)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*x + 246 - 231 = -5*y, 14 = -4*y + 2*x for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*h + 0*h = 105. What is the units digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 589 minutes before 9:18 AM?\nAnswer: 11:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Round 1.718745286 to 3 decimal places.\nAnswer: 1.719","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*a - 2*a = 18. Suppose 5*v + a + 57 = 0. What is the tens digit of -5*-16*(-9)\/v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 418773 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -14 + 1122?\nAnswer: 1103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let k(t) be the third derivative of 0*t + 1\/180*t**6 - 2*t**2 - 8\/9*t**3 + 1\/3*t**4 + 0 - 1\/15*t**5. What is b in k(b) = 0?\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8 = 2*v + 5*h, -12*h + 11*h = -v + 4. Suppose 99*u - 95*u + 5*b - 6969 = 0, 0 = -v*u + b + 6963. What are the prime factors of u?\nAnswer: 1741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 54 = 26*y + 2 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -o = -3*o + 4. Let m(d) = 4*d**2 - 5*d - 8. Let l(i) = -1 - i**2 - 54*i + 55*i + 1 + 2. Calculate o*m(x) + 9*l(x).\nAnswer: -x**2 - x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 1162 + 26?\nAnswer: 1188","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 319231849 to the power of 1\/3, to the nearest integer?\nAnswer: 683","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 2092539067 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence fvo when three letters picked without replacement from {o: 1, v: 5, f: 1, u: 2, x: 1}?\nAnswer: 1\/144","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: 52.4 * -0.09\nAnswer: -4.716","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 0*(-2)\/6 - -2. Let z be (13 - 6\/c)\/(-2). Let d(o) = 4*o**2 - o + 6. Let s(l) = l**2 + 1. Give z*s(m) + d(m).\nAnswer: -m**2 - m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 35065 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 9.006 + 301403.8451.\nAnswer: 301412.8511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1 - -1 - (-52)\/(-20)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 780 divided by -3?\nAnswer: -260","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*f = 106 + 50. Suppose 5*t - 21 = -4*b + f, -4*t + 4 = -b. Calculate the remainder when 21 is divided by b.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -115284855358.999998088 + 115284855916. Let j = -557 + a. What is j rounded to seven decimal places?\nAnswer: 0.0000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 141 + -141.302. Let w = 0.02 - 0.042. Let u = w - t. Round u to 1 decimal place.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 - (74 + (-1 - -25 - 24))?\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Does 1028 divide 9189381?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Express -36*a + 3*a**2 + 36*a - 7*a**2 - 6 + 5 as r*a + p*a**2 + l and give p.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4 = 3*c + 14. Let t = c + 9. Suppose -2*u - 3*r - 3 = -4*u, 7 = 3*u - 2*r. Solve 0 = -4*h - 3*f - 28, u*h - 8*h - t*f - 32 = 0 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00000253165 to seven dps.\nAnswer: -0.0000025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let 27*x**4 + 2343*x**3 - 522*x**2 = 0. Calculate x.\nAnswer: -87, 0, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand (57*k + 87*k - 40*k)*(360 + 348 - 708 + 363*k**2).\nAnswer: 37752*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 564*m**5 + 23*m**4 - m**3 - 6441*m wrt m.\nAnswer: 11280*m**3 + 276*m**2 - 6*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 99.5 + -100. Let q be (-1)\/(-2)*(-53 + 54). Sort f, -2\/9, q, 3 in decreasing order.\nAnswer: 3, q, -2\/9, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 16489.24971 to the nearest integer.\nAnswer: 16489","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 14 in 0.23, 2\/39, -0.5?\nAnswer: 0.23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 745 a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -u = -2, -3*y - u + 0*u + 14 = 0. Suppose s + 3*s = y. Let n = s + 35. Does 12 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 416 minutes before 9:46 PM?\nAnswer: 2:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x**12\/x)**21\/((x\/(x\/(x*x**(-1))))\/x*x**(2\/19)) assuming x is positive.\nAnswer: x**(4406\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let f(j) = 4145*j + 16587. What is f(-4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*k - 3 = -5*k + 5*y, 3*k - 25 = -y. Suppose k = -7*s + 22. Factor 13*t + 4*t - t**s - 2*t**2 - 3 - 23*t.\nAnswer: -3*(t + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 975\/(-195) - (0 + -3 + 21)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: 89 - 103 - (-12 + 3)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w(g) = 2*g**2 - 1 + 1. Let o(i) = i - 3. Let r(a) be the first derivative of -a**2 + 7*a - 22. Let k(l) = 7*o(l) + 3*r(l). Determine w(k(u)).\nAnswer: 2*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 217 = -5*x + 467. Suppose 0 = x*b - 57*b + 8141. List the prime factors of b.\nAnswer: 1163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -393053498*a**2*t**3 + a*t**3 + 4*a*t**2 + 687*a*t - a + 157*t wrt a?\nAnswer: -786106996*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 4*(3105\/(-4))\/(-5). Suppose 3*l - 3*x = 9, 13*x = 3*l + 11*x - 10. Suppose 5*z = -0*g - 2*g + 777, -l*z - g = -n. What is the hundreds digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 3*i**4 + 1263*i**3 - 2739189*i**2 - 1512018363*i - 3013069914 = 0. Calculate i.\nAnswer: -709, -2, 999","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*p + 31739 = d, 15 = -3*p + 3. Let q be (-6)\/(-14) + (-22867)\/d. Let w = q + 2\/349. Is 1\/5 greater than w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {l: 4, v: 6, d: 3, h: 2}. What is prob of sequence lh?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let z be ((-1000)\/294)\/(14\/(-21)). Let p = -179\/98 - z. What is the common denominator of 67\/2 and p?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1 - 5 = -3*m. Suppose 3*t = 10*t - 14. Solve -1 + t = k + 4*s, s = m*k + 7 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*h + 12 = -a, -4*a + 17 = 3*h - 4*h. Suppose 0 = -a*k + 46 - 13. What is the second derivative of k*j - 12*j**3 - 73 + 73 wrt j?\nAnswer: -72*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in h**3 + 201*h - 97*h - 104*h.\nAnswer: h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 259\/70 - 98\/28?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 158*q**4 - 201*q**3 - 201*q**3 + 402*q**3 + 193*q**2 wrt q.\nAnswer: 3792*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((g\/g**(-2\/5))\/g**3*g**(-1\/5)\/g**5)\/((g**(-2\/17)*g**(-1\/3))\/((((g**(-3)*g*g*g)\/g)\/g)\/(g\/(g*g*g\/(g**(-1)*g)*g)))) assuming g is positive.\nAnswer: g**(-1364\/255)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 h and 1 p when three letters picked without replacement from {p: 5, h: 5}?\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is -15407155 divided by -3081431?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 256819727?\nAnswer: 256819727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {c: 2, a: 1}. What is prob of sequence ac?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 25687 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3 = 3*z - 5*r + 115, -z = 3*r + 16 for z.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0.02047634 or -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1870 = -19*k - 122*k - 29*k for k.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -51 - 2*n - 146 - 4 - 87 - 120.\nAnswer: -2*n - 408","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -163, -618, -1375, -2434?\n\"Answer: -151*r**2 - 2*r - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 423072 a multiple of 226?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-96)\/(-28))\/(-3) + (312\/126 - 0)?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*n = -2*k, 6*n - n = 5*k - 10. Suppose 9*m - 5 = 4*m. Solve -n*t = m + 9 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -0.0106077 - 7.9900723. Let t = 8 + j. What is t rounded to 4 decimal places?\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -148\/11, -12, 0.04?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 153.8 + -140. Let l = -12 + o. Let q = l + -2. Do -1\/3 and q have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1835 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*k**2 + 21507*k + 1585998.\nAnswer: -3*(k - 7242)*(k + 73)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:08 AM and 7:57 PM?\nAnswer: 709","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -13 + -8 - 20 - (-17 + 26).\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 8697, 8692, 8687, 8682?\n\"Answer: -5*l + 8702","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -869745 and -3.\nAnswer: 2609235","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*b**2 + 2526192*b + 531803835072.\nAnswer: 3*(b + 421032)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 69579 is divided by 34683.\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is -9 - (6 - -5 - (9 + -3)) - 7?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f\/f**(-2\/7)*f*f**(-2\/15))\/(f**(-2\/5))**(8\/3) assuming f is positive.\nAnswer: f**(338\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -38.51 - -39.51. What is the smallest value in a, 0.9, -3\/14, 3?\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 60 and 4065?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in 42\/5 of a millimeter?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 60 - 56. Solve 0 = l + d*u + 7, -5*l - 4*u = -2*l + 13 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -239 - -500. Let d = m + -265. What is the closest to 0.2 in -2, 1\/5, d?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.089 rounded to 2 dps?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let r(j) = -1664*j. Let h(w) = 289*w - 851*w + 283*w + 281*w. Give r(h(u)).\nAnswer: -3328*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 192322 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let o(w) = w**3 + 3*w**2 - 23*w - 53. Let d(g) = -8*g**2 - 64*g - 5. Let h be d(-8). Let r be o(h). Solve -4*m = -r, 2*m = -z - 2*m + 7 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 1424 and 720.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let a(p) = 422*p**2 - 3. Let k(v) = -78*v + 26*v + 54*v. Give a(k(c)).\nAnswer: 1688*c**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2 in -0.3, 9, -2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*y - 5. Let t = -462.15 + 9.15. Let k = t + 453. Which is the second smallest value?  (a) k  (b) y  (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -1, 14, 31, 44, 47, 34, -1, -64?\nAnswer: -161","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-9 - 0) + -3 - (-2 + 2 + 0)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-5)\/((-15)\/6) - -1. Suppose -t*a = -5*a + 16. What is the units digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -4697 - -311.\nAnswer: -4386","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 115 minutes after 11:21 AM?\nAnswer: 1:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 164 + -102. Let c = s - 57. Suppose -u - 3 = -2*h + 2, c = -h + 3*u. Calculate the greatest common factor of h and 28.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((h\/((h*h**(-2\/3))\/h))\/h**(-1))\/(((h*h\/(h*h\/(h\/h**(1\/7))))\/h)\/(((h*h**(1\/3)*h)\/h)\/h)))\/((h*h**(-6)\/h)\/h**6)**(-10) assuming h is positive.\nAnswer: h**(-818\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 73010 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (1\/3)\/(6\/72). Suppose y*o - 8 = 2*o. Let u(d) = -2*d**2 + 4*d + 4. What is u(o)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -169*b + 169*b - 6*b**2.\nAnswer: -6*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (1 - 13)*(-2)\/6. Suppose 4*u = 8 + x. Suppose 2*q + 2 = -0*q - 2*s, u*s = -2*q - 5. Solve a - 4*a = -5*f + 17, 14 = q*f - 3*a for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(21) + sqrt(105)\/(sqrt(5) + sqrt(25)\/sqrt(5)))\/sqrt(7))**2.\nAnswer: 27\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -3 + (35 - (-2 + 19)) + -1 + 5.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose t + 5*n - 15 = 0, 77 = 4*t + 2*n + n. Suppose -6*r = -r - t. Calculate the lowest common multiple of r and 7.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 1201 + -1142. Let d = -6 + 9. Suppose d*j - 36 = 9. Calculate the remainder when l is divided by j.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 67*f = -108*f - 7332 + 2082 for f.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*m = -2*m - 4 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 69805 divided by 115.\nAnswer: 607","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Put 8, -0.3, 6, -3, -25\/3 in descending order.\nAnswer: 8, 6, -0.3, -3, -25\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 131731 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3*sqrt(95)*1)\/sqrt(5) + 3 + sqrt(1539) + sqrt(1539) + 0 + -3 + 4*(0 + sqrt(1539) + -5)**2.\nAnswer: -345*sqrt(19) + 6256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1455 (base 7) to base 2.\nAnswer: 1001000011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z(b) = 0*b**2 + 6*b**2 + 0*b**2. Let q(j) = 2*j - 12. Let d(n) = -2*n + 14. Let o(p) = -6*d(p) - 7*q(p). Determine o(z(u)).\nAnswer: -12*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let z(s) = 48*s**3 - 87*s**2 - 32. Let q(f) = -6*f**3 + 11*f**2 + 4. Calculate -17*q(y) - 2*z(y).\nAnswer: 6*y**3 - 13*y**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((3 + sqrt(19)*3)**2 + -3 + sqrt(1216))*-5.\nAnswer: -885 - 130*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 925, 2195, 3749, 5593, 7733, 10175, 12925?\nAnswer: 15989","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-200)\/(-52) + -2*2\/(-26). Let w(v) = -v**2 - 88*v + 879. Let r be w(9). Solve m - r = -o for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 i, 2 g, and 1 b when four letters picked without replacement from {b: 2, m: 4, g: 3, i: 1, z: 4}?\nAnswer: 6\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let z(o) = o**2 - 9*o - 6. Determine z(-9).\nAnswer: 156","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 28\/32837993 and -53\/7.\nAnswer: 229865951","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 5726686939 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5461*x - 5461*x + 2 - 95*x**2.\nAnswer: -95*x**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 130\/(-1885) - 4171664\/(-203).\nAnswer: 2, 3, 5, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -59, -112, -199, -320, -475, -664, -887?\n\"Answer: -17*l**2 - 2*l - 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (b*b**(-4))\/b**(-1\/4)*(b\/((b\/(b**(-1)\/b*b))\/b))**47 assuming b is positive.\nAnswer: b**(-11\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 2298, 3447, 5420, 8211, 11814, 16223?\nAnswer: 21432","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 217*y = -88*y - 215*y + 154*y - 366 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*x - 13*x + 9 = 0. Let o(a) = -a + a**2 - 4*a**2 + 4*a**2 - 4. Give o(x).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -1780744 + 3573235. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5 + (1 + sqrt(1539))**2 - sqrt(1539).\nAnswer: 9*sqrt(19) + 1535","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 65\/24 and -93\/176.\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let t(b) be the first derivative of b**4\/4 - 16*b**3\/3 + 14*b**2 - 6*b + 316. What is t(14)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 15511 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 111 = 57*d + 111 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 114168317 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let q(w) = -w**3 + 11*w**2 + 18*w - 65. Determine q(12).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 18714766?\nAnswer: 2, 7, 27281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-6*((1*sqrt(36))\/sqrt(3))\/sqrt(2))\/((sqrt(12)\/sqrt(96) + sqrt(64)\/sqrt(2))*-2))**2.\nAnswer: 432\/289","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: (165\/(-4730))\/((6\/(-16))\/((-3)\/(-6)))\nAnswer: 2\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 35 + 48. Suppose 8*k = g + 21. Suppose 1 = -h + 8. Calculate the least common multiple of h and k.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 60 divide 169380?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -9683, -19226, -28769, -38312?\nAnswer: -47855","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u(z) be the first derivative of -3*z**5\/10 - 3*z**2 + 13*z - 12. Let t(m) be the first derivative of u(m). Find the first derivative of t(x) wrt x.\nAnswer: -18*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10 - 10 = -5*k. Calculate the common denominator of -81\/4 and (96\/5)\/k - 1.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -97*l + 63*l + 127*l = -416*l + 8144 for l.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: 288 divided by -211641\nAnswer: -96\/70547","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is -2\/21 equal to -0.31?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 0 + -b41?\nAnswer: -b41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 113 - 24?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 x and 1 n when two letters picked without replacement from {x: 6, n: 2}?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 13 = f + 5*v, -120 = 2*f - v - 113 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 15 = -82*i - 168 - 309 for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 165*q**5 + 13*q**2 - 1 wrt q.\nAnswer: 9900*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.007 take away 51807201?\nAnswer: -51807200.993","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from hoaccauccaaaac. Give prob of sequence ca.\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 125520 and 1184595?\nAnswer: 18953520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -35\/3512 and 131\/13992.\nAnswer: 6142488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -1\/9  (b) -249  (c) 4  (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 26421 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.18895657 to two dps.\nAnswer: 0.19","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*k + 3*l = l - 58, 4*l + 31 = -3*k. Sort k, -2, 0 in descending order.\nAnswer: 0, -2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 23*y = -3*z + 20*y + 9, 0 = 5*z - y - 33. Which is the biggest value?  (a) 0.07  (b) 24  (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 393374*y - 24945*y + 5170*y + 51031*y.\nAnswer: 424630*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -h = 2*b - 371, -130 = -5*b - 3*h + 796. Is b a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 535a4 (base 11) to base 15.\nAnswer: 18147","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: 6*-8359.77\nAnswer: -50158.62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: ((-3)\/12)\/((77\/4)\/(-7))\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify f\/f**(-3\/2)*f**3*f\/((f\/f**(-6))\/f)*f*f**(-3)\/f assuming f is positive.\nAnswer: f**(-5\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 108*h = 444*h - 24192. Calculate the greatest common factor of 14004 and h.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -982*l = -980*l + 3*w + 14 - 59, 0 = 3*l + 5*w - 69 for l.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -26 + 23. Let g = 12.6 - -2.4. Let r = g - 14.7. Which is the third smallest value?  (a) -4  (b) r  (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 3 - 0*5\/25. Let k be x\/2 + (-26)\/4. What is the biggest value in -3, -1, k?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-15 - 976*k - 1001*k + 1960*k)*(k + k - 4*k) + k**2 - 2*k - 1 + 1 in the form z*k + t*k**2 + d and give z.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-30)\/(-80)*-20*(-6)\/15.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r(d) be the second derivative of -d**4\/3 + 49*d**3\/6 + 147*d**2\/2 - 215*d. Differentiate r(p) wrt p.\nAnswer: -8*p + 49","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 793964260 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: Let h(y) = 2*y**2 + 3*y + 1. Suppose 4*o + 3 = 11. Let c be 1 - (-1 - -9)\/o. What is the tens digit of h(c)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2588?\nAnswer: 2, 647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let x(n) = n**3 - 7*n**2 + 5*n + 9. Let t be x(7). Suppose 5*q - t = -3*s, 2*q = -2*q - 8. Suppose -d + s = d. List the prime factors of d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 265*t + 167*t - 151*t as k*t + a and give k.\nAnswer: 281","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 2419 - 2424.798. Let z = g - -5.8. Round z to two decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"}
{"text":"Question: Rearrange (52 + 86 + 2)*(-t**2 + 3*t**2 - 5*t**2) + 0*t**2 - 2*t**2 + 3*t**2 + (t + 0 + 0)*(-t + 3*t + 0*t) to the form v*t**2 + x*t + p and give v.\nAnswer: -417","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 31\/2 and -93\/10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let p(f) = f**3 - 8*f**2 - 9*f + 1. Let h be p(9). Is (6\/(-8))\/(h\/(-12)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 27 and 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify a**21\/a**(6\/13)*(a*a**(-21)*a)\/(a**(-20)*a) assuming a is positive.\nAnswer: a**(267\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let v(c) = 7*c**3 - 2*c**2 + 4*c - 1. Let a be v(4). Let y(w) = -2 - a*w**3 - 15042*w**3 + w**2 + 1873*w**3 - w. Let t be y(-1). Round t to the nearest 1000.\nAnswer: 14000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2113 is divided by 239.\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 8\/(-14) + 62465\/7 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is twenty-one fifths of a litre in millilitres?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 72284 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -2*a - 2*a - 24 for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 38570 + -12364. What are the prime factors of p?\nAnswer: 2, 13103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {z: 4, q: 3, r: 2}. Give prob of picking 1 q and 1 r.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*y - y = -180. Let i be 14\/(-49) - y\/(-14). Let d be 3\/(-6) + 2\/i. Solve d*h = h - 4 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 51\/27*4428\/(-738).\nAnswer: -34\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 d and 2 v when four letters picked without replacement from vvvdvvddvdv.\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*q - 60 = -4*k - 9*q, 16 = -4*q. Let b(c) = -5*c**2 + c + 4*c**2 - 2 + 2*c**2. Let l be b(2). Calculate the highest common factor of k and l.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((o\/(o\/(o**1*o)*o)*o**(-18))\/(o*o\/(o*o*o\/(((o*o*o*o**(-5\/14)*o)\/o)\/o*o))*o**41))**(2\/31) assuming o is positive.\nAnswer: o**(-835\/217)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1766, -3, 8, 22, -7 in decreasing order.\nAnswer: 22, 8, -3, -7, -1766","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 192640 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 5713 and 5516?\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 2454, 2922, 3392, 3864, 4338, 4814?\n\"Answer: b**2 + 465*b + 1988","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is (-12)\/(-2) - 1769\/244?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-2)\/((-2632)\/(-378) - 7). Is w greater than or equal to 59?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.07 times -60?\nAnswer: 4.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 1.0207 + 26.9353. Let q = 28 - j. Round q to 2 decimal places.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (28\/56)\/((-3)\/(-10))?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ossssbbboossbobsbsob. What is prob of picking 1 b and 1 o?\nAnswer: 7\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let a(q) = 2*q. Let l(x) = -8*x**2 + 3. Let r(i) be the first derivative of 0*i**2 - 7 - 40\/3*i**3 + 16*i. Let n(m) = 16*l(m) - 3*r(m). Give a(n(b)).\nAnswer: -16*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is one tenth of a milligram in micrograms?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l(q) = 7*q - 4. Let u(m) = -3 + 0 + 3*m + 4 - 3. Let a be 3 - (4 + 1)*1. Let x(n) = a*l(n) + 5*u(n). What is x(3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1013808876?\nAnswer: 2, 3, 463, 182471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*j**2 - 150640*j + 2710872.\nAnswer: 2*(j - 75302)*(j - 18)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*n - 23 - 5 + 47 - 19.\nAnswer: 2*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*l = 3*o - 29, 0 = -4*o + 5*l + 1354 - 1362 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*x + 4*u + 34 + 72 = 34, 18 - 127 = x + 5*u for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 2*(24\/(-27) + 2 + 15\/(-45)). Factor 22\/9*z + 2\/9*z**3 - 10\/9 - j*z**2.\nAnswer: 2*(z - 5)*(z - 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -4\/1857 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Sort 142, 5, 1935, -4 in ascending order.\nAnswer: -4, 5, 142, 1935","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 16817, 16840, 16867, 16898, 16933, 16972, 17015?\nAnswer: 17062","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Find y such that 2*y**4\/11 + 234*y**3\/11 - 244*y**2\/11 - 936*y\/11 + 944\/11 = 0.\nAnswer: -118, -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4\/3*o**2 - 4\/3*o**4 + 0*o + 0*o**3 + 0.\nAnswer: -4*o**2*(o - 1)*(o + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is ((-2)\/(-4))\/(3 - (-11026)\/(-3676)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -f - 2*f - d + 4 = 0, 3*f + 5*d + 4 = 0. Suppose q = 2*r - 4*r, 0 = f*q - 3*r + 7. Let x be 1 - -1 - (-2)\/q. Which is greater: x or -1\/17?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be ((-9)\/(495\/(-22)))\/((-1)\/(-10)). Suppose -2*b - o = 0, -2*i + 12*b = 11*b - 2. Sort i, 4, 2, -4 in ascending order.\nAnswer: -4, i, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 116 is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:15 AM and 4:50 AM?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let p(q) be the first derivative of -5738*q**3\/3 - 1227*q - 5272. What is the derivative of p(v) wrt v?\nAnswer: -11476*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -117440, -117353, -117264, -117173, -117080, -116985, -116888?\n\"Answer: q**2 + 84*q - 117525","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 3 take away 704703?\nAnswer: -704700","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 79322911 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 4277?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 403*t + 86768 = -2199*t + 630*t for t.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = v - 7*y + 51, -55 = -3*v - 19*y + 14*y for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is -8 - (-37 - (-11 - 37))?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round 88.613 to the nearest integer.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 69 and 92?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2777*k + 1477*k - 8*k**2 + 1300*k.\nAnswer: -8*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let d(r) = -r. Let t(x) = -10*x - 9*x - x**2 + 2*x. Give t(d(u)).\nAnswer: -u**2 + 17*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-27)\/36)\/((-15)\/(-8)*-1).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((p*p**(3\/2))**(2\/55))**(-3\/32)*(p\/(p**(1\/13)\/p)*p\/p**(-1))\/(p\/(p\/(p\/(p*p**(-2)*p*p)*p)))**(13\/6) assuming p is positive.\nAnswer: p**(23995\/13728)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand (12*w**2 - 7*w**2 + 12*w**2)*(-5*w**3 + 3*w**3 - 7*w - 5*w).\nAnswer: -34*w**5 - 204*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4 + 8 = 2*s. Suppose -4 = -s*f + f. Suppose -a + f = y - 2*a, 0 = -5*y + 3*a + 16. Solve 2*n = -4 - y, 3*n + 8 = o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -25\/5706 and -43\/12.\nAnswer: 11412","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 4118 and 15478.\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 5*(0 + (-4)\/(-5)). Let h(s) = 0 + 2*s + 2 - 7*s + 4*s. Let j be h(-2). Solve -w*d - j = -0 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:11 AM and 3:36 PM?\nAnswer: 385","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -37287 and -0.2.\nAnswer: 7457.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Does 2 divide 2\/(-7) + (-205)\/(-7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(i) = i**2. Let l(y) = 3*y - 116 + 74 + 6*y. Let r(z) = z - 4. Let w(p) = -2*l(p) + 21*r(p). Determine w(f(g)).\nAnswer: 3*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Does -44 = -162?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 14*i - 52 - 18 = 0 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -1754, -3533, -5340, -7175, -9038, -10929, -12848?\n\"Answer: -14*o**2 - 1737*o - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -6.32 - 25.68. Which is the third smallest value?  (a) 5  (b) -0.06  (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -2302, -4623, -6942, -9259, -11574?\nAnswer: -13887","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r(o) be the second derivative of -o**3\/6 - o**2 - 687*o + 1. Calculate r(-3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0*q**3 + 9*q**3 + 5*q**3 - q**3.\nAnswer: 13*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -170.1 - 25.9. Let s = 196 + i. Which is the closest to s?  (a) 1  (b) 2  (c) -49\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (g - 3 - 4 + 3)*(2*g**2 - g**2 + 0*g**2).\nAnswer: g**3 - 4*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let j(a) = -587*a**2 + 6*a + 14. Let r(z) = -1176*z**2 + 13*z + 30. Determine -13*j(i) + 6*r(i).\nAnswer: 575*i**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 5*s - 63*b - 582, 5*s - 5*b - 313 + 253 = 0 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-20)\/(-11) + (-2)\/(-11). Suppose 13 - 1 = 4*v. Suppose -v*b - a - 24 = -5*b, 5*a = x*b - 32. List the prime factors of b.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -k - 12994*v + 12989*v + 24, -8 = -k + 3*v for k.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((p*p**(2\/7)*p*p*p)**(3\/31)\/((p*p**(1\/6))\/p**(-7)))\/(p**(-2\/9)*p**(-7\/4)*p**(-3\/4)*p\/(p**(-2\/21)\/p*p)) assuming p is positive.\nAnswer: p**(-11962\/1953)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of f*v**4 + 2*f*v**3 - 6*f + 23*v**4 - 163*v**2 wrt v?\nAnswer: 24*f*v + 12*f + 552*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let p(j) = -2*j**2. Suppose 0 = -2*l + 6*l - 24. Suppose -7*h + 15 = -l*h. Let z(a) = 4*a + 8*a + 15 - h. Give z(p(n)).\nAnswer: -24*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Express -391*n + 198*n + 229*n in the form y + j*n and give j.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 3beb58 + -1a?\nAnswer: 3beb3d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let c(u) = -84*u - 40*u**2 + 5*u + 141*u. Let p(h) = -21*h**2 + 32*h. Let n(f) = 3*c(f) - 7*p(f). Find the second derivative of n(a) wrt a.\nAnswer: 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -37479, -74940, -112387, -149814, -187215, -224584?\nAnswer: -261915","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*j = 5*s + 6, -j + 4*j = 6. Let w = 1 + s. Let k = 55 + -53. Sort k, w, -4.\nAnswer: -4, w, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -158*c - 158 - 8802 = -438*c. What is the remainder when 2266 is divided by c?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(a) = 24*a**2 + 24798*a + 294117. Give v(-12).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -254 = -4*k + l - 53, 3*k + 5*l = 122. Suppose -47*w = -k*w + 9722. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 1012 or 1011?\nAnswer: 1012","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 300 and 188?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -2504 - 3?\nAnswer: -2507","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*l + 122 = 104. Calculate the least common multiple of 6 and l.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -249 + 253. Find the second derivative of -4*j**5 + 8 - 19*j - 8*j + 22*j - 4*j**p wrt j.\nAnswer: -80*j**3 - 48*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -7 + 2. Let i = 7 + l. Suppose h - i*h = -127. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 44125?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -4 - -14. Put -3, 4, p in descending order.\nAnswer: p, 4, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 280 and 59458?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-32010)\/53350)\/((-9)\/6)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (0 + 2)*1\/(-2). Let v = 4 + b. What is the first derivative of 1 - 4*d**2 - v + 2*d**2 wrt d?\nAnswer: -4*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 9 and 43?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 266721 and 16609?\nAnswer: 977","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (60\/27)\/((-4724)\/(-159435)).\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*u - 83 = b, 90 = -2*b - 5*u - 136. Let k = b - -168. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(o) = 3*o + 86. Let h be x(-21). Solve 0 = -9*g - 22 - h for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-5 - -7)*(-2)\/(-2). What is the biggest value in -0.3, j, 1\/6?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(d) = -6*d**2. Let v(x) = -x**2 + 9*x - 7. Let r be v(8). Let b be 2*(r + 1 - 1). Let h(m) = 20 - 20 + b*m**2. Give h(n(p)).\nAnswer: 72*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 6\/2*1\/1. Let o be (d\/4)\/(1\/4). Differentiate -1 - r**3 - r**o + 5*r**3 wrt r.\nAnswer: 9*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 24*f + p - 13194 = 20*f, -13198 = -4*f - 3*p. Is 194 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -14 + 14. Suppose -8 = 2*y - v, -4*u + 52 = 2*y. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 33.3 less than 1413443?\nAnswer: 1413409.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is (4\/(1*-4))\/((-7)\/7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m(f) be the second derivative of -f**7\/210 + f**4\/12 - 2*f**2 - f. Let n(i) be the first derivative of m(i). What is the second derivative of n(w) wrt w?\nAnswer: -12*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange ((2 - 2 + 3*v)*(-1 - 2 + 0) + 77 + 14*v - 77)*(2*v**2 + 2*v**2 - 3*v**2) to the form r*v**2 + c*v**3 + t*v + f and give c.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 137*z = 225*z - 151*z - 1701 for z.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 4987 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 925, 3759, 8517, 15199, 23805, 34335?\n\"Answer: 962*m**2 - 52*m + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 423221595 and 24?\nAnswer: 3385772760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Find i such that -i**3\/2 + 142*i**2 + 2*i - 568 = 0.\nAnswer: -2, 2, 284","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 2236651 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is -0.045 smaller than 21\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Do 22520 and 247727\/11 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Add -5.181235 and -0.1.\nAnswer: -5.281235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 0.9687762l?\nAnswer: 968.7762","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 159562?\nAnswer: 2, 13, 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 196253 is divided by 55?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -8870170*a*m**2 + 33*a*m + 270*a - 40*m wrt m?\nAnswer: -17740340*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 45417 (base 13) in base 14?\nAnswer: 33c69","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 5981 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-5 - (-3 + 3)) + (7 + -1 - 1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((g\/(g*g**(-24)))\/g*g**(-1\/47)\/g*g*g)**(-20) assuming g is positive.\nAnswer: g**(-22540\/47)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 86 (base 9) in base 12?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v(s) = -4*s**3. Let f be v(-1). Suppose 0 = -r + 2*r - f. Solve -2*k = -2*y - 4, 0*k + 8 = -r*k - 4*y for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 973987421 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -753, -1510, -2267, -3024, -3781?\n\"Answer: -757*t + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.3926795275 rounded to 4 decimal places?\nAnswer: 0.3927","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.52, 0.4, 0.04, 11 in descending order.\nAnswer: 11, 0.52, 0.4, 0.04","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 35\/(-7) + 300 + 3 + 2. Is 14 a factor of 42260\/a - (-8)\/60?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 24, 32, 40, 48?\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, -7, -5, 151.\nAnswer: -7, -5, -1, 151","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from oorooooooorrooooor. Give prob of picking 4 o.\nAnswer: 1001\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -a**4 - 3*a**3 + a**2 + 3*a = 0. Calculate a.\nAnswer: -3, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 10 + -1. Let i = 8.9 - k. Is -5 not equal to i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -4 - -b0?\nAnswer: ab","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is -1101000110111001 (base 2) in base 6?\nAnswer: -1052321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 11551 (base 6) in base 14?\nAnswer: 8b1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*f - 2*p = 22, -5*p - 124 + 152 = 9*f + 95 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 34437?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0001402257 to 5 decimal places.\nAnswer: 0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -11?  (a) 5  (b) 1\/11  (c) 1  (d) -3\/8  (e) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Convert 85.1883 millilitres to litres.\nAnswer: 0.0851883","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g(q) = -6*q**2 - 7*q + 6. Let x = -4 - -1. Let h(c) = -c - 7. Let u be h(x). Let k(s) = -5*s**2 - 6*s + 5. Determine u*g(p) + 5*k(p).\nAnswer: -p**2 - 2*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:52 PM and 8:19 PM?\nAnswer: 207","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 2243844, 4487687, 6731530, 8975373?\nAnswer: 11219216","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d(u) = -46*u + 631. Let z be d(13). Calculate the greatest common divisor of z and 2277.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 119\/950 and -63\/55.\nAnswer: 10450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6 = 10*j - 13*j. Let z(i) = 3 + 0*i**j - 10 + i - 4*i**2 + 0*i. Let u(s) = -3*s**2 + s - 6. Calculate -5*u(p) + 4*z(p).\nAnswer: -p**2 - p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:07 AM and 9:31 AM?\nAnswer: 564","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve r - 3 = p, -2*r + 7 = -0*r - 3*p for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Find l, given that -36*l**5 - 212540*l**4 + 7723260*l**3 + 7481580*l**2 - 16750504*l + 1758240 = 0.\nAnswer: -5940, -2, 1\/9, 1, 37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -56 = -15*k - 11. Solve -4*t + a = 3, 3*t - 9 = -4*a + k for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(t) = 4 + 6 + t**2 + 4 - 3 + 4*t**2. Let g(b) = -27*b**2 - 57. Let x(q) = -2*g(q) - 11*z(q). What is x(0)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 6 - 10. Let r(s) = -s**3 + 7*s**2 - 5*s - 7. Let y be r(6). Let g = 20.7 + -21. Which is the nearest to 0?  (a) g  (b) y  (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d**9*d**7)\/(d**(-3\/7)*d*d**(-10\/7)\/d) assuming d is positive.\nAnswer: d**(125\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -1, 5, 3.7, 0.11?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 32\/16 - (-2 - 0) - -11?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(u) = u + 1. Let j(k) = 3*k. Let c be j(-3). Let h = c - -14. Suppose -h*z = -0*z + 30. Calculate g(z).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 30338 and 104566?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4*k + 23*k - 8*k.\nAnswer: 19*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: 4 (base 11) to base 8\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 5 + -1 + -1 + 63. Calculate the highest common factor of p and 44.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 33 a factor of 66?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 0.6477924 litres?\nAnswer: 647.7924","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3 = -j - 2*t, 4*t = 5*j + t - 15. Find the third derivative of -652*u**j - 709*u**3 + 76*u**2 + 1447*u**3 wrt u.\nAnswer: 516","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose q = 2*q - 1. Suppose 2*j - q - 3 = 0. Let x(f) = f**2 + f + 1. What is the units digit of x(j)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 97207*k + 122523*k - 219735*k.\nAnswer: -5*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (2\/(-2) - 0) + 2. Let t be 408\/(-80) - (-3)\/30. Let q be 5\/(-615)*617 - t. Which is bigger: q or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 6 + 8. Suppose 0 = -k + 3*f + 34, -f - b = -3*k + 88. What is the remainder when 271 is divided by k?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*u = -u + 9. Suppose -m + u = -17. Suppose 4*s - 158 = m. List the prime factors of s.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 6943383 and 370.\nAnswer: 69433830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4 = -3*a + 4*j + 2, 0 = a + 5*j + 7 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let u(g) = -g**2 - 4*g + 1. Let m(c) = 2*c**2 + 4*c - 1. Give -2*m(k) - 3*u(k).\nAnswer: -k**2 + 4*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let n(d) = 2*d**2 + 2 + 13*d**2 - 2*d**2 - 2*d + 0*d + d**2. Let g(u) = -29*u**2 + 5*u - 5. Give -2*g(q) - 5*n(q).\nAnswer: -12*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let i be ((-6)\/15)\/2 + 236\/(-20) + 14. Solve 9 - 19 = s + 4*r, -i = 4*s - 3*r for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((x*x\/x**4*x\/(x**(-3)*x))\/(x**(-2)*x*x\/(x**2\/x)))\/(((x\/x**(-2\/5))\/x*x)**26\/(x**(1\/4)*x*x**(-2\/5))) assuming x is positive.\nAnswer: x**(-671\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*j = 14*q - 13*q - 19881, -j = -4*q - 9936. What are the prime factors of j?\nAnswer: 2, 5, 7, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from bedpnbbdebbbeneee. Give prob of sequence ebed.\nAnswer: 3\/476","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -g**3 + 371428*g**2 + 4828747*g - 5200174 = 0.\nAnswer: -14, 1, 371441","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Put -251695, -1, -3, 4 in increasing order.\nAnswer: -251695, -3, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Determine z so that -49*z**4\/2 - 84*z**3 + 54*z**2 - 8*z = 0.\nAnswer: -4, 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q\/(q\/(q\/(q*q**0*q)))*q*q)**(1\/16)\/((((((q*q*q\/(q\/((q\/q**5)\/q))*q)\/q)\/q*q)\/q)\/q)\/(q\/q**(-1\/3)*q*q))*((q**1*q)**44)**(-38) assuming q is positive.\nAnswer: q**(-160109\/48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((v\/(v*v**(-2\/7)))\/v*v)\/v)\/v**(-6\/5)*v\/(v**(-2\/5)\/v)*(v*v*v**(4\/5)*v)\/v assuming v is positive.\nAnswer: v**(199\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 4*n**2*q**4 - 6408*n**2*q**2 + n*q**2 + 110*n*q + 20609718*q**5 + 14 wrt q?\nAnswer: 96*n**2*q + 1236583080*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is (-24 - -13) + 39 - 1?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from cdrrcrf. Give prob of sequence rf.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: -2 (base 8) to base 14\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p(t) = -2*t - 5. Let g be p(-4). Suppose 53 = 4*b - g*s, 0*s = -4*b - 3*s + 59. What is the units digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*t = -4*l - 28, -3*t - 15 = -4*l + 5*l for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -65 - -280. Calculate the greatest common divisor of w and 301.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 463 minutes after 11:23 PM?\nAnswer: 7:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -19*o*s**3*u**3 - 35*o*s**3*u + 1481*o*s**2*u**3 - 5*o*s + o*u**3 - 9*s**3 + 2*s**2*u**2 wrt s?\nAnswer: -114*o*u**3 - 210*o*u - 54","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Express 16*r + 30*r + 48*r - 53*r + 48 - 48 + (-1 + 2*r + 1)*(-3 + 5 - 4) + 0*r + r + 0*r + 2*r - 3 + 3 in the form j + n*r and give n.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let g(d) = d**3 - 14*d**2 + 12*d + 2. What is g(13)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let j(m) = 722*m**2 - 18059*m - 114. Calculate j(25).\nAnswer: -339","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Express 77*y**2 + 1 - 1 - 284*y**2 - 1 + 2*y in the form p*y + k + m*y**2 and give m.\nAnswer: -207","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 5\/8 of a kilometer in meters?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -v + 3*z + z + 30 = 0, -2*v = -z - 67. Suppose 0 = -v*a + 39*a - 480. What is the units digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -4 + 3*c**3 + 0*c**2 + 5 - 2*c**2 + 7 + 3*c**2 in the form x + g*c**3 + t*c**2 + u*c and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let q(f) = -9*f**3 + 17*f**2 - 5*f - 28. Let h(i) = 4*i**3 - 8*i**2 + 3*i + 13. Calculate -13*h(u) - 6*q(u).\nAnswer: 2*u**3 + 2*u**2 - 9*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 18603 and 1051?\nAnswer: 19551753","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -33 - -35. Let c = 17 - 12. Solve 2*m + n*w = -10, c*m - 8*w = -4*w - 7 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -o**4 - 2*o**3 + 7*o**2 + 20*o + 12 = 0.\nAnswer: -2, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is -4178963 <= -4178968?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 12 + -7. Suppose -7*v - 19 - 9 = 0. Let b = -0.921 - -3.921. Sort v, w, 4, b.\nAnswer: v, b, 4, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(d) = d**3 - 8*d**2 + 8*d - 5. Let r be b(7). Factor -5*i**4 - 4*i**r - 2*i**3 - 5*i**3 + 14*i**4 - 5*i**3 + 7*i**5.\nAnswer: i**2*(i - 1)*(i + 2)*(7*i + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((l**(1\/4)\/l*l*l*(l\/(l*l**(-4)*l*l))\/l*l*(l**(-3))**(-40))**5)**(-25\/4) assuming l is positive.\nAnswer: l**(-61625\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let g(w) = w**2 + 15*w + 20. Let a be g(-14). Suppose i - 2 = a. Suppose i*m + m = 873. Calculate the remainder when m is divided by 25.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2698.294083 rounded to zero decimal places?\nAnswer: -2698","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*h**3 + 0*h + 0*h)*(2*h**2 + 4*h - 4*h)*(252 + 1243 + 1249).\nAnswer: -10976*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 78 divided by -39?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 1454037 and 1196?\nAnswer: 299","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from xxxxxxxxxssxx. Give prob of sequence xs.\nAnswer: 11\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let k(j) = -2*j + j**3 - 4*j**3 + 2*j**3 + 2*j**2 + 3*j. Calculate k(3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be ((-23)\/(-115))\/(1\/(-5)). Let w be s - (-4)\/(3 + 1). Suppose -3*u - 4 + 7 = w. Which is smaller: 5\/9 or u?\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 150 and 197996.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is nine tenths of a litre in millilitres?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 1285 + -1229. Solve 5*j - x = -9*j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 23679 - 23679.014. Is g >= 3\/200?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2*a**4 - 4*a**4 - 9*a**4 + (6*a + 0*a - 2*a)*(16*a**3 - 11*a**3 - 20*a**3) to t*a**4 + w*a + m*a**2 + r + x*a**3 and give t.\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let s(u) = 98*u**2 - 126*u + 2. Give s(2).\nAnswer: 142","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -89147 from -8465022.\nAnswer: -8375875","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is (-43707)\/(-3)*((-32)\/8 - -5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -1 + 2. Suppose y - 9 = -p - 1, -y - 7 = -2*p. Suppose -g = -y*g - 5*b - 10, 31 = 3*g - 4*b. Which is bigger: r or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-1)\/(-1))\/((-2)\/352)*(322\/28)\/23?\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Determine w so that w**4\/2 + 79*w**3\/4 + 259*w**2\/4 + 127*w\/2 + 18 = 0.\nAnswer: -36, -2, -1, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 22 and 4774?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let u(v) = 9*v + 49. Let p = -80 + 75. Let i be u(p). Solve -4*c + i*s + 9 = -3, 3*s = 4*c - 13 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(t) = 568*t - 1133. Let a be q(3). Which is bigger: 1711\/3 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 281922 > 281924?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -16 + 23. Let d = z - 9. Which is the closest to 0?  (a) 3  (b) 2\/11  (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((j**1\/j*j)**(-17)\/(j**(2\/9)\/j**0))**(1\/7) assuming j is positive.\nAnswer: j**(-155\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (48\/18)\/(2\/(-3)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(r) = 10*r - 2. Suppose 4*d - 3*d + 7 = 2*a, 0 = -5*a + d + 10. Let o be h(a). Suppose o*k - 30 = 7*k. What is the remainder when k is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -5, 17, 3002, 0.24?\nAnswer: 3002","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from kukuukukkuuuk. What is prob of picking 2 k?\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -2.4 - -1.602. Let m = -0.8 - j. Round m to three decimal places.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 11352815 = 17*i + 11354600 for i.\nAnswer: -105","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r**1\/r)**(-46)*r**(3\/7)*r\/(r*((r**3\/r)\/r)\/r*r)*((r\/((r\/(r*r**(1\/3)*r))\/r*r))\/((r\/(r\/r**4))\/r))\/(r\/r**(-1\/3))**20 assuming r is positive.\nAnswer: r**(-586\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -231 - -49. Let d = 109 + s. Let o = -68 - d. Solve -2*f = -o*f - 15 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -11.8 - -0.8. Let s = -40.079 - -29.0835. Let r = h - s. What is r rounded to 3 decimal places?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -84075710, -84075709, -84075708, -84075707, -84075706?\n\"Answer: u - 84075711","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2\/9 in -16, -2\/5, 3?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -39\/550 and (-70)\/42*(-18)\/(-8).\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 0 + sqrt(272) - (sqrt(2448) + 1).\nAnswer: -8*sqrt(17) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Put 1427475, 1.2, -5 in descending order.\nAnswer: 1427475, 1.2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let l(m) = 7*m**2 + 7*m + 10. Is 15 a factor of l(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -116?  (a) 4\/7  (b) -7  (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(66)*-3*1 - -2*sqrt(66)*2)\/((sqrt(96) + (sqrt(96) - (sqrt(96) - -3*(2*sqrt(96) - sqrt(96))) - sqrt(96)) - sqrt(96)) + -2*sqrt(96)*2 + sqrt(96)).\nAnswer: -sqrt(11)\/28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from pppprppvvp. What is prob of picking 1 p and 2 v?\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let f(o) be the second derivative of 0*o**2 + 1\/21*o**7 - 15\/4*o**4 + o + 32 + 11\/4*o**5 + 0*o**3 + 0*o**6. Find the third derivative of f(j) wrt j.\nAnswer: 120*j**2 + 330","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*a - a - 12 = 0. Let o = -728 - -731. Let n(s) = -7 + o - 6*s + a*s**2 - 4*s**2 + 11*s. Give n(6).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"}
{"text":"Question: Simplify 2*(4*(sqrt(13) - 1*sqrt(13)) + -3 + -3) - (sqrt(78)\/(1*sqrt(6)*-1) + -1 + -3)**2.\nAnswer: -41 - 8*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 93346844?\nAnswer: 2, 23336711","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let d(l) = -l**2 - 8*l - 5. Suppose 0 = y + 6*y - 21. Let x(n) = n**2 + 8*n + 4. Let a(q) = y*d(q) + 2*x(q). Let s be a(-6). Solve -s*p = -0*p + 25 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -40419 or -40702?\nAnswer: -40702","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 35178 and 2938962?\nAnswer: 3198","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Round -789566.5 to the nearest one hundred thousand.\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -205, -202, -197, -190?\n\"Answer: j**2 - 206","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l(o) = o + 3. Let g be l(12). Suppose -4*c - c = -g. List the prime factors of c.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -5581.80612 rounded to the nearest 10?\nAnswer: -5580","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -162, -422, -904, -1680, -2822, -4402, -6492?\n\"Answer: -12*m**3 - 39*m**2 - 59*m - 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 1101001000011110000010010 + -111?\nAnswer: 1101001000011110000001011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 113152014 (base 6) in base 16?\nAnswer: 2042aa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i(g) be the first derivative of 6 + 19*g - 39\/4*g**4 + 0*g**2 + 0*g**3. Find the first derivative of i(u) wrt u.\nAnswer: -117*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-7)\/490*7*1?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 5\/9*(-7)\/(-210)*6?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify i**(-2\/45)*i**4*i**3\/(((i\/(i**(7\/3)\/i)*i)\/i)\/i) assuming i is positive.\nAnswer: i**(373\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let z(f) = f**3 + 8*f**2 + 12*f + 3. Let q be z(-6). Solve -b + a + q = 0, -4*b - b + 6 = 4*a for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.5 take away 7125594257?\nAnswer: -7125594257.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 113 is divided by 98.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {b: 1, m: 7, g: 8, a: 1}. What is prob of picking 1 b and 1 a?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 80035.9mm in meters?\nAnswer: 80.0359","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 533563093?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 106 - 105.8805. Let t = o + -0.125. Round t to three dps.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -5 + (10 - -4) + (-20 - -14)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 0.52765 times -0.3\nAnswer: -0.158295","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let x(q) = -8*q**3 - 36*q**2 - 56*q + 65. Let d(n) = -3*n**3 - 12*n**2 - 19*n + 22. Let z(m) = 11*d(m) - 4*x(m). Is z(13) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 7 (base 13) to base 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*p - 45 + 216 = 0. Let w be p\/18 - 3\/(-2). Let v = -0.037 + -3.963. What is the biggest value in v, w, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -13221 + 13272. Suppose -22 = -3*f + 5*x, -5 + 33 = 5*f - 4*x. Suppose -f*y + 36 = 4*j, 5*j - 56 = -y + 5. What is the remainder when w is divided by j?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1101, -52, -1633 in ascending order.\nAnswer: -1633, -52, 1101","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:20 AM and 6:50 PM?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (2 - (-1 - -7 - -2))*624\/(-1092). Find t, given that 18\/7*t**4 - 40\/7*t + 6\/7*t**2 - p + 2\/7*t**5 + 38\/7*t**3 = 0.\nAnswer: -6, -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(h) = h**2 - 3*h - 6. Let m be w(7). Let v = m + -7. Does 15 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (5\/(-5))\/((-22)\/(-10) + -2). Let y(h) = h**2 + 8*h + 14. Let d be y(o). Let z be (-6)\/4*(-4)\/(-3). Sort z, d, 0 in descending order.\nAnswer: 0, d, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2713 is divided by 686?\nAnswer: 655","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -127*u**5 - 3319*u**4 - 321592362*u.\nAnswer: -2540*u**3 - 39828*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5*-1*sqrt(13))**2 + sqrt(13) + 5*sqrt(52).\nAnswer: 11*sqrt(13) + 325","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -50*b - 2083 = -7883. What is the units digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(q) = -q - 29. Determine p(-22).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:14 AM and 3:34 PM?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-99)\/(-66)*-4*(-1)\/(-6))\/(2\/74)?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.4?  (a) -5  (b) 5  (c) -6\/17  (d) -1\/39\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let r(a) = a**3 + a**2 - a + 2. Let v be (-22)\/33*90\/(-4). Suppose -v*b - 20 = -5*b. Give r(b).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 823039902.\nAnswer: 2, 3, 1327, 34457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let f(u) = u**2 + u. Let h be -2*1\/2 - -2. Let w be f(h). What is the third derivative of 0*j**3 + j**2 + 2*j**w + 2*j**3 wrt j?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 1834 and 4019080?\nAnswer: 28133560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 1\/4  (b) -76  (c) 998.8  (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Put -1553, -2, 2 in increasing order.\nAnswer: -1553, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 5\/(-3)*240\/(-100).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*b = -3251 - 4237. Suppose -v - b = -3*s, -v + s - 1234 - 22 = 0. Round v to the nearest 1000.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(j) = -3*j + 2*j**2 - 22 - 4 + 2*j. What is the units digit of n(-8)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 94 - 54. Let z = a - 31. What is the greatest common divisor of z and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(z) = 5*z**2 - 29*z + 54. Determine j(8).\nAnswer: 142","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Express (-3 + 2 - 1 + (-1 - 5 + 4)*(2 + 0 - 1) + 0 + 1 + 0 + 2 + 2 - 2)*(-k**4 + 4*k**4 - 4*k**4) in the form g*k + j*k**4 + p*k**3 + l + m*k**2 and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 375*w - 24*y = 378*w + 96, -54 = 3*w + 3*y for w.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2\/13?  (a) -0.1  (b) 3\/2  (c) 3.3  (d) -3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 97361.97 months in centuries?\nAnswer: 81.134975","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 173.\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 1080 - 1078. Solve -6 = 4*m + 2*a, -n*m - a + 7 = -2*a for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be ((-35712)\/(-465))\/((9\/60)\/1). What is the highest common divisor of 704 and h?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -256, -1014, -2278, -4048?\nAnswer: -6324","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-k**3 + k**5 + k**3 - 4*k**3 + 4*k**3 - k**5 + (2 + 0 - 1)*(0*k**5 + 2*k**5 + 0*k**5))*(0 + 0 - 2).\nAnswer: -4*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of j**5 - 191*j**4 + 35*j**3 - 10497*j**2 - 3?\nAnswer: 60*j**2 - 4584*j + 210","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -3893, -8356, -15785, -26174, -39517, -55808, -75041?\n\"Answer: n**3 - 1489*n**2 - 3*n - 2402","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 282419268 a multiple of 538?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let f(k) = 124668*k**2 + 8*k + 6. Let n be f(-6). Let o be 4\/22 + n\/(-33). Round o to the nearest ten thousand.\nAnswer: -140000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 1 - 3. Suppose 9 = -2*o + 3*u, 0 = 2*o - 3*o - 3*u - 9. Let n be (-10)\/3*o\/(-8). What is the second biggest value in n, j, 4?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -20*c**5\/7 - 145212*c**4\/7 - 74087912*c**3\/7 + 327985680*c**2\/7 - 418239392*c\/7 + 119563392\/7 = 0 for c.\nAnswer: -6708, -557, 2\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose i + 4*i - 142 = -4*o, 144 = 5*i + 3*o. Let a = -30 + i. Solve m = -a*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -210, 6, 2.\nAnswer: -210, 2, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -5\/2 and 1\/5.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let c(i) = -i**2 + 24*i - 51. Let f be c(21). Suppose -32 + 250 = 2*r - n, 5*r + 5*n = 530. What is the highest common factor of r and f?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: -3135 (base 6) to base 10\nAnswer: -707","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 13 a factor of 99047?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: 5 - (-4 + (0 - -4) - -7)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t**0)**4\/(t**(12\/7))**7 assuming t is positive.\nAnswer: t**(-12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2 - (-3 - -6) - (2 + -3).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -6727514+-55\nAnswer: -6727569","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:03 PM and 7:31 AM?\nAnswer: 628","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 4*t - 20, -4*x - 8*t = -9*t - 7 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (l**2 - 3*l**2 + l**2)*(0*l + 0*l + 3*l) + 6*l - 2*l - l - 4*l**3.\nAnswer: -7*l**3 + 3*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -13*s**2 + 5*s**2 + 2*s + 6*s**2 + 9*s**2.\nAnswer: 7*s**2 + 2*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let h(r) = 5*r**2 + 13 - 12 - 4*r**2 + 16 + 22*r. Let i(q) = q**2 - 10*q - 6. Let u be i(8). What is the remainder when 30 is divided by h(u)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(f) = -f**3 + 10*f**2 - f + 8. Calculate w(10).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-8)\/(-6)*(0 - 9\/(-6)). Suppose q*z = 7*z - 20. Suppose -5*a = -n - z*n - 730, 5*a + 4*n = 703. Calculate the remainder when a is divided by 36.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -7 + 8. Let z(t) = t + 1. Let j be z(h). Suppose 0 + 0*w - 2\/3*w**j + 2\/3*w**3 = 0. What is w?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 234*g**2 + 237*g + 3.\nAnswer: 3*(g + 1)*(78*g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -13 + 94\/7. Let m = -16\/21 + o. Which is the fourth biggest value?  (a) 0.01  (b) 4  (c) m  (d) -5\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from erbwwbqr. What is prob of sequence eqw?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let a(w) = 9*w**2. Let q(p) be the first derivative of 22*p - 13 + 0*p**2 - 1\/6*p**3. Let i(g) be the first derivative of q(g). Determine a(i(h)).\nAnswer: 9*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 132392561?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 2352566, 4705009, 7057454, 9409901?\nAnswer: 11762350","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Express (-1 - 4 + 2)*(-b**2 + b**2 + b**3)*(-17278 + 17278 - 23*b)*(4 - 2 + 0) as p + x*b**3 + r*b + d*b**4 + m*b**2 and give d.\nAnswer: 138","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 18141391 is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let f(l) = 35*l + 490. What is f(-14)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Express 7 - j + 14 - 15 - 3 + 3*j**2 + 28*j**3 as y*j**2 + s*j**3 + o + m*j and give s.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(72) - sqrt(72)*3)*6)\/sqrt(6).\nAnswer: -24*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 72176 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 16875 and 12933?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Divide 13 by -1330.\nAnswer: -13\/1330","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -56 = 3*m - 6*m - 4*c, -3*c + 3 = -m. Suppose -4*i = 12, -2*w + m = i - 3*i. Suppose -w*x - 2*t + 65 = -6*t, t = -2. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-29*q + 11*q**3 + 29*q)*(0 + 2 - 1)*(8*q + 9*q - 6*q).\nAnswer: 121*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-2248)\/4496)\/(2*(-3)\/(-72))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert -343 (base 10) to base 13.\nAnswer: -205","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -15598 or -22.179?\nAnswer: -22.179","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:54 PM and 7:23 AM?\nAnswer: 689","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Product of 27715 and 0.4.\nAnswer: 11086","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 11 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -816, -2997, -6536, -11427, -17664, -25241, -34152, -44391?\nAnswer: -55952","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p(b) = b**4 + b**3 + b + 2. Let i(x) = -165*x**4 + 5*x**3 + 5*x + 211. Let o(w) = i(w) - 5*p(w). Find the first derivative of o(j) wrt j.\nAnswer: -680*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 15246?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 1664 <= 1673?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 34487 is divided by 886?\nAnswer: 819","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -0.2  (b) -0.5  (c) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 100 - 99.9. Which is the closest to 0?  (a) -4  (b) v  (c) 2.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1674*i**2 - 1533*i**2 - 1546*i**2 + 7781*i**2 - 1644*i**2 - 1700*i**2.\nAnswer: -316*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 269\/(-54) - (-13 + (-200)\/(-25)).\nAnswer: 1\/54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 837 is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -58*v - 290 = u, -4*v - 44 = 4*u - 24 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 1358143 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 82187 and 140892?\nAnswer: 986244","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -314*d + 9420 = 134*d + 337*d for d.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -3175, -3162, -3155, -3154, -3159, -3170?\nAnswer: -3187","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w(v) = v**3 + 13*v**2 + 12*v - 1. Let a be w(-9). Suppose 2*p + 3*q = -2*p + a, 0 = -4*p - 4*q + 216. What are the prime factors of p?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*r - 5*k - 11 = -4*k, -4*k = -5*r + 32. Suppose v = -g + 5, -v = r*v + g - 25. Solve 2*q = -v*i + 8, i + 2*q = -q - 1 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-168)\/256)\/(-21) - 0\nAnswer: 1\/32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -1614127 or -1614130?\nAnswer: -1614127","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4825386?\nAnswer: 2, 3, 193, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Express 1564*x - 29 - 2*x**2 - 3093*x + 1549*x as s + j*x**2 + i*x and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -12*a - 3 + 31*a - 24*a.\nAnswer: -5*a - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Put -2, 53, 800686 in decreasing order.\nAnswer: 800686, 53, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3731 = 194*b + 93*b for b.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {s: 5, k: 5, v: 9, i: 1}. What is prob of sequence vik?\nAnswer: 1\/152","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let d(a) = a**3 + 7*a**2 - 7*a - 9. Let r(m) = m**3 - 13*m**2 + 10*m + 16. Let y be r(12). Determine d(y).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -19 - (-12 + -1) - (-1 + -2) - -16\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w(h) = -12*h**2 - h. Let j be ((-24)\/(-20))\/(2\/10). Let n(p) = p**2 - 8*p + 10. Let v be n(j). Let f be (5\/(-10))\/(v\/(-4)). Give w(f).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (26 - (-22 - -25)) + 4 + 31.\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -20, -73, -162, -287?\n\"Answer: -18*a**2 + a - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 91030 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((z*z\/z**6)**(-2\/33))**(-14\/3))**3 assuming z is positive.\nAnswer: z**(-112\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -23\/468299 and -95\/5542?\nAnswer: 936598","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -107, -338, -835, -1730, -3155?\nAnswer: -5242","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 130804*i - 130808*i = 3*w + 206, 2*w = i - 5*w + 67 for i.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 2514 + -2511. Let i(r) be the second derivative of 0 + 41\/12*r**4 + 0*r**2 - 12*r + 0*r**y. Let h(u) = u**2. Give i(h(b)).\nAnswer: 41*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -10 - -14230?\nAnswer: 14220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let y(t) = 2*t**2 - 3*t - 9. Determine y(4).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 4 + -c73b1?\nAnswer: -c73aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is -1\/15 at most 2842?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 5412 or 1296?\nAnswer: 5412","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-1)\/3 + 4\/(60\/(-445)). Is v <= -32?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(p) = 9221*p - 9. What is b(0)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is -97663 (base 12) in base 6?\nAnswer: -4140203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 5748?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 482.3358m in millimeters?\nAnswer: 482335.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -6*v + 13 + 23 for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -115 + 10 = -15*i. Suppose 0 = -5*a + 4 + 1. Solve 0 = -2*m + i - a for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 12 and 49506.\nAnswer: 99012","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 10300780 and 429580?\nAnswer: 484136660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let g(i) be the first derivative of 5\/16*i**4 + 0*i**3 + 0*i**5 + 0*i - 1\/24*i**6 - 143 - 1\/2*i**2. Determine m so that g(m) = 0.\nAnswer: -2, -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -1.190374 - -1.185. What is z rounded to 4 dps?\nAnswer: -0.0054","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(h) = 7*h - 3*h - 11 + h**2 + 3. Let y be k(-7). What is the highest common divisor of y and 91?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 216 and 216.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 375 - 193. Suppose 0 = 3*t + 130 + o. Let a be t\/88 + 4\/22. Are -7\/4 and a unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 10, 13, 10, 1, -14, -35?\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-17*t - 20*t - 6*t)*(-2*t**3 + t**2 - t**2) - t**4 + 6*t**4 + t**4.\nAnswer: 92*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -r + 27 = -5*d, -4*d + d - 17 = -r. Let h(s) = 3*s**3 - 2*s**2 + 1. Let m be h(1). Suppose -m*z + 6 = z. Solve -z*n - 6 = 0, -r = 4*j + n + 13 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine w so that -5*w**4 - 13160*w**3 - 8223935*w**2 + 33067020*w - 24829920 = 0.\nAnswer: -1604, -1032, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -287 + 478. Let f = -104 + a. Suppose 4*y = 3*o + 6 - f, 0 = 5*y - 15. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 0 - -18*15\/1040 and -11\/8.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(l) = l**2 - 91*l + 1760. What is g(28)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -4 - -13. Let b(v) = -v + 17. Let g be b(l). Is 292\/g - 3\/6 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2351 divided by 2012?\nAnswer: 2351\/2012","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 403 is divided by 102?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((l**(-8\/9))**2\/(((l*l*(l\/((l\/(l\/l**(-8)))\/l))\/l*l)\/l)\/l*l)**(1\/27))**(1\/27) assuming l is positive.\nAnswer: l**(-59\/729)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2*(-4 + 3 + sqrt(684)*-1) + ((sqrt(19) - (sqrt(19) + 1))*-3 - (-3 + sqrt(684)))**2*5.\nAnswer: -372*sqrt(19) + 3598","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 8 + -1 + 4*-1. Solve 16 - 4 = l*m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 9857?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 218*a**3 - 34 - 54*a**3 + 55*a**3 + 36 to the form m + h*a**2 + r*a**3 + q*a and give r.\nAnswer: 219","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 156267 and 1044.\nAnswer: 18126972","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0*-157140.55.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve j - 5853 = 16*f - 5771, 3*j - 6*j = f - 1 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let a(h) = -4*h**3 - 9*h**2 - 6*h - 15. Calculate a(-4).\nAnswer: 121","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -85 - -101. Solve -4*c - i = -2*d, 2*c - 3*d = -7 + 3 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(a) = -28*a + 55. What is the units digit of p(-37)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 66802?\nAnswer: 2, 127, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 119 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -63.38956 - -0.07956. Let c = b - -63. What is c rounded to two decimal places?\nAnswer: -0.31","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((1*sqrt(187)*-2)\/sqrt(11) - (-1 + ((sqrt(153)*-1)**2 - sqrt(153)))) + 3.\nAnswer: -149 + sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let g(t) = 2*t**3 - 18*t**2 + 15*t + 13. Give g(8).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 975, 959, 943, 927, 911?\nAnswer: 895","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 31185497?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let d(v) = 8*v. Let i be d(-1). Let s(g) = -5*g - 10. Let y be s(i). Suppose 2*f + 10 = 3*c + 2, -5*c = 5*f - y. What is the least common multiple of 10 and c?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 22887 and 1323?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -38*d = -i - 40*d + 8, 0 = 4*i - 3*d + 12 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x*x*x**(-9)*x*x*x*x*x**8*(x**2\/x)**(-12\/11))\/(x\/(x\/x**(-9))*x*x**(-5\/2)*x**8*x**(-3\/4)) assuming x is positive.\nAnswer: x**(315\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 3 + -4. Sort -4, p, 2 in descending order.\nAnswer: 2, p, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 5.189 - 0.189. Let m(z) = -2*z + 7. Let i be m(5). Which is the smallest value?  (a) 2\/5  (b) v  (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.2, -1, -0.1, 3\/2, 68 in increasing order.\nAnswer: -1, -0.2, -0.1, 3\/2, 68","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 56825 is divided by 64?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Sort 183, 726, -17.\nAnswer: -17, 183, 726","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 1967.906 years in months?\nAnswer: 23614.872","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -126 = 4*a - 394. Is 9 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(m) = 12*m**3 + 97*m**2 + 116*m + 817. What is r(-8)?\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in 7\/16 of a hour?\nAnswer: 1575","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -5.85 + -0.15. Let g = c - -9. Put 4, 2, g in increasing order.\nAnswer: 2, g, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from dddgo. Give prob of picking 1 g, 1 d, and 1 o.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 109427027.\nAnswer: 109427027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -13, -31, -51, -73, -97, -123, -151?\nAnswer: -181","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 630 minutes before 10:36 AM?\nAnswer: 12:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {i: 1, w: 4, l: 2, h: 3}. Give prob of sequence hw.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 846499 + -846286.0266. Let r = 40 + -253. Let i = m + r. What is i rounded to 3 decimal places?\nAnswer: -0.027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 3 - -3d102a?\nAnswer: 3d102d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: 8 + -7 + 0 + 1 - -8\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1 + -1 + 4 + (-761 - -749) + (1 - -11).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p(h) be the second derivative of -h**3\/6 + h**2\/2 + 89*h. Let g(c) = -2*c**2 + 2*c. Determine -2*g(m) - 4*p(m).\nAnswer: 4*m**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 plus 77934510829?\nAnswer: 77934510830","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 17580, 35278, 53000, 70746, 88516?\nAnswer: 106310","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 3*b*j**2*w**3 - 3*b*j**2*w**2 + 5735*b*j*w**3 - 2*b*j*w + 1308*b*w - j**2*w**2 wrt w.\nAnswer: 18*b*j**2 + 34410*b*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: -18 - (-58 + (11 - 2) + 7)\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence or when two letters picked without replacement from okrkggubrbogbk?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:56 AM and 9:07 AM?\nAnswer: 191","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*i + 41*x - 9 + 2 - 10 = 46*x, 0 = -5*i - 2*x - 11 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let d(n) = 2*n + 26. Let b be d(-9). Let f be -3 - 144\/(-14) - b\/28. Suppose 2*k + 130 = f*k. Solve 0 = -5*p + 5*l - k - 4, l = 2*p + 10 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(s) be the first derivative of 7*s**4\/12 - s**3\/6 + 14*s**2 - 24. Let q(w) be the second derivative of y(w). What is the first derivative of q(b) wrt b?\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 71663 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (39 + 77 - 2)*(-16*t + 27*t + 20*t) to s*t + n and give s.\nAnswer: 3534","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-3300)\/(-228))\/(-5) + 3?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -1247 + 1246.99995991. Round m to six decimal places.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*d - 182 = -2*h, d + 6 - 43 = -h. Suppose 4*g - d = g. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(v) = -v**3 + 2*v**2 + 5*v + 5. Let w(x) = 2*x**3 - x**2 - 5*x - 5. Let q(j) = -3*m(j) - 2*w(j). Is 9 a factor of q(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 3294, 3290, 3284, 3276, 3266, 3254?\nAnswer: 3240","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (9\/6 - 1)*80. Let b = -37 + s. Let x be -4*(1 - (-9)\/(-4)). Solve -5*p + x*z - 6 = 4, 0 = -b*p - 5*z - 6 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -2609, -2619, -2655, -2729, -2853, -3039, -3299, -3645?\n\"Answer: -2*s**3 - s**2 + 7*s - 2613","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose y = -4*b + 3, -2*y + 3 = -b - 3. Suppose -y*k + 5 = -4*j, -5*k + 4*j - 2 + 13 = 0. Suppose -42 = -k*u + 3. Solve 3 - u = c + 4*r, 0 = -2*r - 6 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -186531284 divided by -5.\nAnswer: 186531284\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -92 = -2*x, -3*i - 39*x - 17629 = -19432 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let q(v) = v**3 - 15*v**2 + 18*v - 13. Is 3 a factor of q(14)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-49472)\/(-100))\/(-16) - 2\/25\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (21 + (-35)\/5)\/(4\/(-2)). Let u be (54\/(-336))\/(6\/z). Is u greater than or equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-1 - 4 - (9 - 5))\/(40 + -39). Let l be (-72)\/105 + 2\/7. What is the smallest value in z, l, -0.2, -3\/2?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*w = -21679 + 4231. Suppose -q = -2*q + w. Let b = -2375 + q. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(s) = s + 1. Let m(f) = 1. Let c(i) = -m(i) + x(i). Let a(w) be the first derivative of -w**2\/2 + 5. Give a(c(n)).\nAnswer: -n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*t - 19 = 23. Let h = 24 + t. Suppose 0 = -h*p + p + 68. Is 17 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 4*l**3*t*x**3 - 2*l**3*x**2 + 6*l**2*t**2*x**3 - 7*l**2*t*x**2 + 3*t**2*x**2 wrt x.\nAnswer: 24*l**3*t + 36*l**2*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: 8 - (-2 - -1 - (38 - 60))\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x(u) be the third derivative of u**6\/600 - u**5\/150 + u**4\/120 + 6*u**2. Factor x(b).\nAnswer: b*(b - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 165 and 45.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.099829227 - -3.\nAnswer: 2.900170773","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {b: 7, n: 1, l: 1, q: 6}. Give prob of sequence bbbb.\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*w = -4*c - 1, 3*w + 3*c + 37 = 8*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 57\/20 + -13\/5. Let v = -0.397341 - -0.597341. Which is the third biggest value?  (a) -2\/79  (b) z  (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(y) = -15*y**3 + 6*y - 3. Let q(h) = h - 1. Let a(t) = n(t) - 4*q(t). Let i be a(-1). Let j(u) = -u**3 + 14*u**2 + 3*u - 16. Is j(i) a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence eee when three letters picked without replacement from {e: 4}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 10 smaller than 16?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -78*h**3*u - 78*h**3 - 3*h**2*u - 29*h**2 + 4*u wrt h.\nAnswer: -468*u - 468","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*y + 24 = 3*f, -4*y = 2*f - 10 - 12. What is the remainder when 14 is divided by y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -1042 + 1048.97. Let t = 7 - m. Let x = t - -0.17. Is x smaller than 1\/8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 87\/(-7) - 16\/28. Let p be (-6)\/(-39) - (-288)\/i. Let o = p + 41. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many nanoseconds are there in thirteen quarters of a microsecond?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*j = -z - z + 22, -j = 2. List the prime factors of z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5244*o - 10438*o + 5265*o.\nAnswer: 71*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 2 and 81?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 17 in 2, 0.1, 4, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 41 + -23. Let g = o + -13. Suppose -u - y = 2*u - 14, 2*y - 25 = -g*u. What is the greatest common factor of 33 and u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -181 divided by -1?\nAnswer: 181","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-22)\/(-8) - ((-104)\/32 + 4). Suppose 2*s - 6*k = -3*k + 8, -a*k = -2*s + 6. Solve -6*q + s = -5*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 750 and 30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 divided by -26789837?\nAnswer: 1\/26789837","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-15 + 17)*(-3)\/39.\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -107 + 107 + 30*g.\nAnswer: 30*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:23 AM and 7:25 AM?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 9\/12 - -3 - (-2)\/8. Let p = 0.3 + -0.1. What is the nearest to -1\/4 in 0, v, p?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 486643?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: 206270 (base 13) to base 9\nAnswer: 1372268","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -2.3 - 1.7. Let j = -1\/3 + 5\/6. What is the nearest to 0.1 in l, -0.2, j?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -131312103232 - 1213?\nAnswer: -131312111111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1370 = -224*o + 5091 + 1879 for o.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let i(h) = h**3 + 18*h**2 + 19. Give i(-17).\nAnswer: 308","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -308*z + 285*z = -161 for z.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*q - 5*i + 5 + 4 = 0, 5*q = -4*i + 27. What is the derivative of 0*c**3 - 4 + 4*c**q + 7 wrt c?\nAnswer: 12*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 6 is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 81381482.\nAnswer: 2, 7, 13, 17, 29, 907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 82210359 to the power of 1\/3, to the nearest integer?\nAnswer: 435","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -2*s**4 - 25949*s**2 + 42134.\nAnswer: -8*s**3 - 51898*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.17623359 to 2 dps.\nAnswer: -0.18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 131569.4 rounded to the nearest one thousand?\nAnswer: 132000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let s(o) = -30*o**2 + 1. Let x(p) be the second derivative of -1 + 1\/3*p**3 + 0*p**2 - 17*p. Give x(s(y)).\nAnswer: -60*y**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 25\/2 + -13. Let t be 48\/(-112)*(-4)\/(-6). Put 0.1, t, y, -0.4 in decreasing order.\nAnswer: 0.1, t, -0.4, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -236*m = 61*m - 55*m - 3630 for m.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is -620 times -0.3?\nAnswer: 186","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.7 + -16.6.\nAnswer: -15.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2099 is divided by 28.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2 + (sqrt(10)*1)\/sqrt(2).\nAnswer: 2 + sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from fwfwfbfxwfbfmwxuf. Give prob of sequence ff.\nAnswer: 21\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*y = b - 2*y - 22, b + y = 13. What is the remainder when 45 is divided by b?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0 divided by -1167\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 36 and 24?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -2362  (b) -0.5  (c) 0.4  (d) -2  (e) -4  (f) 17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, 0, -86, -7.\nAnswer: -86, -7, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*m + 7 = -27 + 10 for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Determine q so that 4\/3*q**4 - 2\/3 - 5\/3*q + 1\/3*q**5 - 2\/3*q**2 + 4\/3*q**3 = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 1068 divide 3717979?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let 2*z**3\/5 + 986*z**2\/5 + 12344*z\/5 - 13056 = 0. What is z?\nAnswer: -480, -17, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*b + 3*g = 6, 4*b + 351*g = 357*g - 14 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence vleu when four letters picked without replacement from lzlleluv?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 41686759 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2.0968002 seconds to minutes.\nAnswer: 0.03494667","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 695480.\nAnswer: 2, 5, 17387","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.01112372981 take away 6?\nAnswer: -5.98887627019","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.2 and 0.59.\nAnswer: 0.118","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -80 - -44. Let y = 32 + w. Which is the closest to 0?  (a) 2\/13  (b) y  (c) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 123305015?\nAnswer: 5, 307, 80329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 11109.43 rounded to the nearest 100?\nAnswer: 11100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.5, 0.1, -465 in descending order.\nAnswer: 0.5, 0.1, -465","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -458 - -459. Is z != 3\/8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*a = -y - 3, -4*a + 2*y = 3*y + 3. Suppose -4*c - m + 0*m = -27, -4*m - 4 = a. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(u) = 4*u**2 + 6*u + 4. Let y be h(-3). Suppose -12 - 8 = -4*o. Suppose n = -n - 4, -y = -3*p + o*n. Is p a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put together 3 and -111.3117235.\nAnswer: -108.3117235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of (-23)\/(4 + -3 - 7) and 33\/2*5\/24.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00003294 rounded to 6 decimal places?\nAnswer: 0.000033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 142  (b) -0.06  (c) -2\/13  (d) -25\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*t - 5*t**2 - 4*t)*(-t**2 + 3*t**2 + t**2) - 3*t**4 + 4*t**4 + 4*t**4 + (2*t**3 + 0*t**2 + 0*t**2)*(2*t + 0*t + 0*t) + 0*t**3 - 3*t**4 + 0*t**3.\nAnswer: -9*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let c be ((-63)\/(-35))\/((-9)\/(-105)). Suppose -5*k - 3*g + c = 0, -2*k + 3*g - 4*g + 8 = 0. Sort 2, k, -14 in increasing order.\nAnswer: -14, 2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4*2*sqrt(39))\/(sqrt(3) - 3*sqrt(147)).\nAnswer: -2*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 4428 a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.3 and -17.7?\nAnswer: -5.31","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is thirty-one fifths of a day in minutes?\nAnswer: 8928","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o(x) = 5*x**3 + x**2 + 3*x - 5. Let w(m) = 6*m**3 + m**2 + 4*m - 6. Let b(v) = v + 5. Let r be b(-9). Let l(t) = r*w(t) + 5*o(t). Factor l(g).\nAnswer: (g - 1)*(g + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5*2*(sqrt(78) + 1*(sqrt(78) - 2*sqrt(78))))\/(sqrt(18)\/sqrt(48) + sqrt(18)\/(sqrt(9)\/sqrt(3))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s\/((s*s**(1\/15))\/s)*s*s*s**(-1)*s)**(-39)*((s**(-6\/11)\/s)\/((s*s\/s**2)\/s))**(5\/8) assuming s is positive.\nAnswer: s**(-25243\/220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 7122904?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -43*a + 67*a - 13248. Calculate the greatest common factor of a and 207.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 81 + -75. Let l = 611 + -414. Find the third derivative of l*w**2 + 7*w**f - 209*w**2 + 8*w**6 - 3*w**6 wrt w.\nAnswer: 1440*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -724 (base 10) to base 16\nAnswer: -2d4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -15 - 2577.\nAnswer: -2592","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 626884?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 1470 and 539?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (12\/(-18))\/((-660)\/(-90)).\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((i\/(i\/(i*i\/i**2))*i)\/i*i*(i**9*i)\/i*(i*i**(1\/5)\/i*i)\/(i*i**(-8)*i))**(-43))**32 assuming i is positive.\nAnswer: i**(-118336\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*q - 5 + 53. Suppose q = 2*n + 30. What is the units digit of 4\/(-8) - n\/2?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 39599 is divided by 4575.\nAnswer: 2999","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 6*(2 + 5 + (sqrt(342)\/sqrt(6))\/sqrt(3) + (1*sqrt(190))\/sqrt(10) + sqrt(19)).\nAnswer: 42 + 18*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -23900 - -24069.8. Which is the closest to d?  (a) 3\/4  (b) 1\/5  (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(g) = 2*g**3 - 196*g**2 - 405*g + 1244. Calculate z(100).\nAnswer: 744","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*x + 1 = -4*a, 3*a = a + 5*x - 11 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 626851 divided by 2.\nAnswer: 626851\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 less than -2.2337938848?\nAnswer: -3.2337938848","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 5*((-3)\/((-27)\/12))\/((-650)\/(-1170)).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -21*u + 13*u + 24 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 3733073 to the nearest integer?\nAnswer: 155","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -2\/23 + -65\/46. Let v = -0.41 - -0.31. Sort j, -3, v in increasing order.\nAnswer: -3, j, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence xbc when three letters picked without replacement from {x: 2, c: 2, m: 4, t: 6, b: 3, j: 1}.\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 33474724, 33474685, 33474646, 33474607, 33474568, 33474529?\nAnswer: 33474490","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in 672.9293 nanometers?\nAnswer: 0.6729293","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5 = -h + 3*h + 3*c, 0 = -4*h + 4*c + 20 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Round 6.55083 to 2 dps.\nAnswer: 6.55","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -2141 or -162801\/76?\nAnswer: -162801\/76","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -30891 - -30891. Put 0.4, -95\/6, 3, 7, c in decreasing order.\nAnswer: 7, 3, 0.4, c, -95\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 75\/350464 and 77\/348.\nAnswer: 30490368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 685 minutes after 5:45 PM?\nAnswer: 5:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 8\/360*145 + 4\/(-18). Suppose 4*z - 3*z = 0. Solve -m - k = -z for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(p) = p**3 - 5*p**2 - 2*p + 2. Let o(f) = -3*f**2 - f + 1. Give 3*m(h) - 5*o(h).\nAnswer: 3*h**3 - h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1\/16330 or 1?\nAnswer: -1\/16330","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -50 + 58. What is the smallest common multiple of 12 and w?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(m) = -5*m - 4. Let z be r(3). Let t = 35 + z. What is the remainder when t is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(i) = -4683*i - 2. Let b be m(6). Round b to the nearest one thousand.\nAnswer: -28000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(b) = -b**3 + b**2 + b + 1. Let j be x(-1). Solve -2*v = j*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(c) = 9*c**3 - c**2 - 5*c + 4. Let s(j) = 11*j**3 - j**2 - 7*j + 4. Calculate 3*n(q) - 2*s(q).\nAnswer: 5*q**3 - q**2 - q + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let f(j) be the first derivative of 11 + 2*j**2 - j**3 + j**2 - j**2 - 4. What is the second derivative of f(x) wrt x?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*v = -88 + 100 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 155 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 - (-1 + 8) - 2?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert 997279.5 micrograms to nanograms.\nAnswer: 997279500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c*c*c**(-3\/5))\/(c*c\/(((c*(c*c*c**(2\/9))\/c)\/c)\/c)*c)*c**9*c\/(c\/c**(-2\/37)) assuming c is positive.\nAnswer: c**(12601\/1665)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (b*b\/b**(-25))\/b*b**(-37)*b**(2\/57)*b*b*b\/(b**(-16)*b) assuming b is positive.\nAnswer: b**(401\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: 45\/(-10)*(-16)\/(-120)\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 199549 to the nearest integer?\nAnswer: 447","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let h(r) = 72527*r + 7397782. Determine h(-102).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 1536 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Round -258973 to the nearest one thousand.\nAnswer: -259000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let x(y) = -463*y - 6482. Let b be x(-14). Is b smaller than 1\/4255?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 7.4 * 0.3.\nAnswer: 2.22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -109 - -116. Solve -5*i - j = -4*s, -5*s + 17 + 2 = 4*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -40, -136, -290, -496, -748, -1040, -1366?\nAnswer: -1720","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Express (0*v - v - v)*((-19 + 4 + 6)*(16 - 4*v - 16) + ((-5 + 1 + 5)*(2 - 1 - 2) - 25 - 24 + 58)*(4*v - 3*v - 2*v)) in the form p + l*v**2 + j*v and give l.\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*g + 3*a - 81 = 21, -3*g - 66 = 3*a. Let k = -14 - g. Suppose -r - r = -k. Solve 0*u - r*u = -10 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (1 + 3 - 5)*(1 + 5*k - 1) + 35*k + 487 - 487 - 5*k + 3*k + 3*k + (-6 + 4 + 0)*(-3*k - k + 3*k) - 2 + 2 + 2*k in the form m + z*k and give z.\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let x(y) = y**2 - 3*y - 2. Let f be x(4). Let w(q) = f*q + q + 0*q. Let i(j) = -3*j**2 - 2. Let l(m) = -m**2 - 1. Let z(t) = 2*i(t) - 4*l(t). Give w(z(c)).\nAnswer: -6*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 557981 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 35314186.\nAnswer: 2, 181, 97553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -279034.00696 - -279210. Let u = i + -176. Round u to 4 dps.\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 7\/(2 + (-2 - -1)). Let f(s) = -3*s - 5. Let q(c) be the first derivative of 3*c**2 + 9*c - 224. Determine y*f(z) + 4*q(z).\nAnswer: 3*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 41 + -40.971. Let x = 0.189 - i. Let w = 13.84 + x. Which is the nearest to -0.1?  (a) 2  (b) w  (c) -3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(k) = -2*k**2 + 16*k - 19. Let w be q(2). Put -506, -2, w, 0 in descending order.\nAnswer: w, 0, -2, -506","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be -2 - 1\/((-3)\/12). Solve 0 = -0*a + 2*a - q for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2044 (base 16) to base 15.\nAnswer: 26aa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14*k - 2160 = 12*k - 32*k. Calculate the smallest common multiple of k and 630.\nAnswer: 2520","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*v = w - 14, 5*v = w + 2*w + 2. Solve -4*m = 3*n + 4 + 5, 0 = m + 2*n + w for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 19 - -5?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 23 - 32. Let r = a - -11. Let x(i) = 391*i - 2742. Let n be x(7). What is the second biggest value in 2\/13, n, -4\/5, r?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 5 + -20 - ((11 - 11) + -29).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -151 + 152. Which is the second biggest value?  (a) p  (b) 12  (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 241696438 is divided by 120848216?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 24 a factor of 23956067?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 1 + -5. Let m = 7 + f. Suppose 36 = m*w + w. Does 9 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(v) = -8*v + 1. Suppose -2*d + 26 = -4*l, 3*l = 2*d - 0*l - 22. Suppose -d*i - 1 = -6*i. Give n(i).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 13 a factor of 1935?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ittuttqum. What is prob of sequence ttm?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let s(p) = -3*p + 14. Let f be s(6). Put f, -5, 1 in decreasing order.\nAnswer: 1, f, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*j - 9*j**2 + 2232 - 4*j + 10*j + 8*j**2.\nAnswer: -j**2 + 8*j + 2232","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -164 - 0?\nAnswer: -164","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f*f**3*f)**(-1\/9)\/(f**(4\/7)\/(f*f**(-5\/6))) assuming f is positive.\nAnswer: f**(-121\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose q - 10 = w, 4*q - 6*q = 2*w - 20. Let c be (24\/5)\/(2\/(-10)). Let d = q - c. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 20 and 860.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -1467 + 1503. Let s = -4.4 - -4.1. What is the third smallest value in y, s, -0.1?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(x) = 10*x**3 + 156*x**2 - 1033*x + 2128. Calculate t(-21).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 40851972 and 40851972?\nAnswer: 40851972","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -4 + -1042?\nAnswer: -1101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 15639 is divided by 34?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 91477 to the power of 1\/2, to the nearest integer?\nAnswer: 302","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let q(n) = -n**3 + 25*n**2 + 2*n + 92. What is the remainder when q(25) is divided by (-12)\/(-9)*(34 - -2)?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -718, -3, 0, -2, 3, 2.\nAnswer: -718, -3, -2, 0, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*h + 8683 = 2*m, -5*h + 3*h - 2*m = -5786. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 76 and 2812?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 3.615 rounded to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 564, 539, 510, 477?\nAnswer: 440","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ggugggugggg. Give prob of sequence gg.\nAnswer: 36\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 5 + 206?\nAnswer: 214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (63\/(-6))\/(-7)*2. Suppose -k = -6*g + 5*g. Factor 0*z + 0 + 1\/5*z**4 + 2\/5*z**2 + 3\/5*z**g.\nAnswer: z**2*(z + 1)*(z + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-2)\/(-1) + (0 - -1). Let r be (9\/1)\/c*1. Let b(q) = 4*q - 3*q - 2*q - 5*q**r + 1. Give b(1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from zvvpmpwpwzwppmpv. Give prob of sequence vmvz.\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let r(v) = v**3 - 12*v**2 + v - 9. Let a be r(12). Let q(u) = u**3 - 2*u**2 - 3*u - 1. Determine q(a).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, -74, 5, 3, -1, 0, -39800 in decreasing order.\nAnswer: 5, 3, 0, -1, -2, -74, -39800","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let u(z) = -z - 8. Let x be u(-8). Suppose 3*h + 4*r - 41 = 0, x*h + 3*r = 2*h - 16. Solve -v - 17 = 5*t, -6*v + v + h = t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-6*1*sqrt(1872))\/((sqrt(36) + sqrt(36) + 1*sqrt(108)\/sqrt(3))\/sqrt(9)).\nAnswer: -12*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.024188931 + 16.4124.\nAnswer: 16.388211069","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let t(r) be the second derivative of -1\/6*r**4 + 1\/2*r**3 + r**2 - 1\/10*r**5 + 0 + r. Let j be t(-2). Solve 2*f - 2 = -3*z - 9, f - j*z - 13 = 0 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 182 + -124. Suppose 7*o + 335 = -22. Let l = v + o. Calculate the smallest common multiple of l and 5.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -3372321, -6744641, -10116961, -13489281, -16861601?\n\"Answer: -3372320*w - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (8\/(-18))\/(6\/(-27)). Suppose 2*p - 5*p = -6. Let i be 9\/(-6)*(p - 4). Solve -x*q + 3*y + 10 = 0, -4*q + 9 + i = -2*y for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(88)\/(sqrt(8) + sqrt(72)) + (sqrt(132)\/sqrt(3))\/sqrt(4).\nAnswer: 5*sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 349*c - 6047 + 1510 = 0. Suppose 464 = 2*y + 2*y. Calculate the remainder when y is divided by c.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 4093030 to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Express -1 - 3*p**4 + 25*p**3 - 2*p**2 + 2*p**4 - 18*p**3 - 8*p + 6*p in the form w*p**2 + s*p + t*p**4 + g + h*p**3 and give h.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(90)*-3)\/sqrt(6) + 3*sqrt(1815))\/(-6*4*(sqrt(30)*-1)\/sqrt(6)))**2.\nAnswer: 75\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 423 is divided by 28.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Are 12415856 and 12415870 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2.027162 millilitres to litres.\nAnswer: 0.002027162","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 30 = -57*p + 59*p. Suppose 37*b = 34*b + p. Let u(n) = 17*n + 6. Let a(r) = -11*r - 4. Give b*u(o) + 8*a(o).\nAnswer: -3*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*t = 3*p + 747, 5*t + 0*p = -3*p + 1261. What is the units digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 523 = -9*k + 2080. Suppose -151 + 14 = -4*g + w, -5*g = -3*w - k. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: -6a3d (base 15) to base 2\nAnswer: -101100000011110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*2*(sqrt(847) + 0)*2 - ((sqrt(847) + 0 + 2 - sqrt(847) - sqrt(847) - (sqrt(847) + 4 + (sqrt(847) - (sqrt(847) - 2*sqrt(847))))) + 2))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let w(u) = 10*u**3 + 3*u**2 + 61*u - 63. What is w(1)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 1306*d*n**3 + 8*d*n**2 + 2027*d*n + 3*n**3 wrt n.\nAnswer: 7836*d*n + 16*d + 18*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -36*b**2*c*n - 2562*b**2*c + 2*b**2*n + 148*b*c + b - 4687*n wrt b.\nAnswer: -72*c*n - 5124*c + 4*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Sort 47, 1.326, -0.3, -1.67 in increasing order.\nAnswer: -1.67, -0.3, 1.326, 47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let k(x) = 1514*x + 27362. Let r = -9 + 47. Calculate the remainder when k(-18) is divided by r.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 0 - -192. Let j = u + -125. Does 14 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*r + 2*r = 4. Let g = 3 - r. Suppose g*z - 37 - 7 = 0. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 325790.8 to the nearest one hundred.\nAnswer: 325800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.1?  (a) -1  (b) -2  (c) 2\/21  (d) 1\/11  (e) 6503\/5  (f) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2\/9, 0.2, 2\/17, 0.051 in ascending order.\nAnswer: -2\/9, 0.051, 2\/17, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let 2*i**5\/3 - 2215*i**4\/3 + 12101*i**3\/3 + 23141*i**2\/3 + 1109*i\/3 - 7714\/3 = 0. What is i?\nAnswer: -1, 1\/2, 7, 1102","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0000580742307 to seven dps.\nAnswer: -0.0000581","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -37*g + 28*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 150*v + 2*g - 6 = 151*v, -2*v - 23*g = 120 for v.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 54493570 to the power of 1\/5, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 14047 a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4 + sqrt(1331)*-2.\nAnswer: -22*sqrt(11) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -23134 - -23133.6. Which is the smallest value?  (a) 0.014  (b) h  (c) 4  (d) 0  (e) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(o) = -o**3 + 5*o**2. Let n be j(5). Let z be (-1)\/3 + 2\/(-6). Let q be (-4)\/10*(-7 - -2). Which is the second biggest value?  (a) n  (b) q  (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 17492736.\nAnswer: 2, 3, 22777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -1326, -2674, -4022, -5370, -6718?\n\"Answer: -1348*h + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 26994535.\nAnswer: 5, 19, 284153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let f(o) = 12*o**2 - 4*o - 4. List the prime factors of f(2).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is aa6927 - 4?\nAnswer: aa6923","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 142877?\nAnswer: 7, 20411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 344, 343, 342, 341?\nAnswer: 340","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 67*l + 15 + 13 - 28.\nAnswer: 67*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 87 and 62553.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let j(p) = p**2 + 6*p - 1. Let c be (-162)\/(-15) + 2\/10. Let s = -20 + c. Does 20 divide j(s)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -9 and -4.1.\nAnswer: 36.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 0 - ((-12 - 21) + 33).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -208*n + 126 = -206*n. Suppose n*p - 65513 = 14*p. List the prime factors of p.\nAnswer: 7, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -52*n - 25*n = -313621. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 103113 and 12?\nAnswer: 412452","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 7614 divided by -6.\nAnswer: -1269","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*b = 2*i - 2224096, 0 = 2*i - 17*b + 18*b - 2224095. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 9\/(-180)*988 - -1*(-6)\/(-15)?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1010237 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 4488217667 to the nearest integer?\nAnswer: 1650","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let o(j) = 42*j. Let g(i) = 1554*i. Determine 4*g(a) - 147*o(a).\nAnswer: 42*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in fifteen quarters of a minute?\nAnswer: 225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from cocgocoogoccggc. Give prob of picking 1 o and 1 c.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify v\/(v**(-25\/3)\/v)*v**39*v\/(v*v**(-4\/19))*v*v**(2\/95) assuming v is positive.\nAnswer: v**(14411\/285)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let z(b) = -2*b**2 + b - 4 + 3 - b**3 + b + b. Give z(-3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 2250 by -5.\nAnswer: -450","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let d(u) = 25*u**2 - 7*u + 10. What is the hundreds digit of d(3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -318198, -636440, -954682, -1272924?\n\"Answer: -318242*r + 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r(v) = -9*v - 15. Suppose -6*p - 410 = 4*p. Let o = p + 37. Is r(o) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(z) = -146*z**3 - 8*z**2 + 12*z + 40. Calculate the smallest common multiple of u(-2) and 2880.\nAnswer: 5760","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*t = 13 - 49. Let h be t*1 - ((-333)\/(-117) + 1). Suppose 0 = 2*n - 3*j - 11, -j = 5*n - 2*j - 8. Which is smaller: h or n?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(b) = b**3 - 48*b**2 - 161*b + 3035. Determine p(50).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -o**4*u + 13*o**2*u**2 - 210*u**2 wrt o?\nAnswer: -4*o**3*u + 26*o*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: 25676655 divided by -70347\nAnswer: -365","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let s(u) = -u**2 + 8*u - 9. Let f be s(6). Suppose -5*y + f*y = -6. Let l be -1 + 0 - 6\/(-4). Which is the closest to -0.2?  (a) l  (b) -1\/4  (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 7, 12, 0, -248, 95 in descending order.\nAnswer: 95, 12, 7, 0, -248","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 50\/575 - 6850\/(-1104) and -179\/60?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(l) = 2*l**2 + 13*l + 15. Determine w(-6).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3*((-1*sqrt(192))\/sqrt(12))\/sqrt(8) - (2 + -4 + sqrt(128) + sqrt(128) + 2*sqrt(128)).\nAnswer: -35*sqrt(2) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 4\/30 - (-7)\/10. Let z = k + -7\/12. Are 0 and z equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 + 0 + 0)*(-4 + 4 + 2*z**2) + 1219*z**2 + 1070*z**2 + 856*z**2.\nAnswer: 3141*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 501 - 501. Let l(s) = s - 2. Let c be l(0). Let f be 12\/40 + 1\/2. What is the smallest value in c, u, f?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 44*w - 44*w + 39*w**2.\nAnswer: 39*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 194170 is divided by 10219.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 4 - 8. Let j be 6\/2*(w - -5). Suppose -5*z + 40 = 4*p - 11, j*z = -p + 18. Is p bigger than 10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 459 - 4135\/9. Let f be -15*2\/10*-8. Let a be 1 + f\/(-15) + 0. Put a, q, 0.4 in decreasing order.\nAnswer: 0.4, q, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 151*p**3 + 141*p**3 - 386*p**3 + 136*p**3.\nAnswer: 42*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 2999360383 to the nearest integer?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*h + 5*t = -20, -h + 51 = 3*h + 3*t. Let z = -3 - -2. Is z not equal to h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from jjggjgggggss. What is prob of picking 2 j and 2 g?\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let q(k) = -k**2 - 2*k + 144. Suppose 15*g = -5*g + 2*g. Is 8 a factor of q(g)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -89368.13 times 5?\nAnswer: -446840.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -4 and -32240?\nAnswer: 32236","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2645 divided by -2.\nAnswer: -2645\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: 2\/2*231\/(-77)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 2 less than -6936\/575?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Express -1 - 3511*d**4 - 1263*d**4 - 6179*d + 6178*d as r + j*d + a*d**2 + n*d**4 + h*d**3 and give n.\nAnswer: -4774","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -78 - -91. Solve -4*b = 4*n + 2 - 10, -4*n - p = -3*b for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*x = -5*t + 10, 2*t = -585*x + 581*x for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 154 minutes after 2:01 AM?\nAnswer: 4:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 3149 and 47?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -27\/28 and -4 + 3 + 351\/132 + -3.\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(l) = l**2 + 3*l - 2. Let h be i(2). Suppose -42 = 2*a - h*a. Let o(j) be the third derivative of j**4\/24 - 2*j**2. Determine o(a).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*q**3\/8 - 524619*q**2\/8 + 2864204676*q + 476361930129\/2 = 0.\nAnswer: -83, 87478","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 156203834*b**5 + 23192604*b**2 wrt b.\nAnswer: 9372230040*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from aahhaaalalalh. What is prob of sequence hhah?\nAnswer: 7\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let p(o) be the first derivative of -o**6\/6 - 1816*o**3\/3 + 255*o**2\/2 + o - 1721. Find the second derivative of p(s) wrt s.\nAnswer: -20*s**3 - 3632","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 56 - 56 - 3*w**2 - 6*w**2.\nAnswer: -9*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 4 - 0\/(-1) - (4 + -8). Suppose 5*v = w*v - 12. Suppose 4 = 2*x - 2*l - 2, 2*l = x + 2. Solve 3*d + x = 4*n, 3*d - d + 2*n - v = 0 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(d) = -15*d**2 + 3*d - 12. Let o(u) = 1. Calculate -g(n) - 12*o(n).\nAnswer: 15*n**2 - 3*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (2 + -1)\/(2\/(-58)). Let p = b - -50. Is 7 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-25 - (-441)\/18)*(0 - 10). Solve -k*g - c + 36 = 45, 3 = -g + c for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 9487\/1530 - 46\/153. Find the common denominator of c and 61\/134.\nAnswer: 670","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(k) = k**2 - 6*k. Let u be t(6). Suppose 2*r + 0*r - 3*s - 146 = u, r - 4*s = 83. Let f = -28 + r. Calculate the remainder when f is divided by 21.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -85c04 + ac?\nAnswer: -85b58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -40*m + 3*m + 296. Solve m = 3*j + 2 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -140, -604, -1388, -2498, -3940, -5720, -7844?\nAnswer: -10318","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 10 + -10.2. Let c = -5 + 4. What is the closest to b in c, -1\/3, -3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 300201*d**2 + 4*d + d**3 - 300204*d**2 - 1 + 4*d in the form i*d**3 + s*d + g + z*d**2 and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -2 - 7. Let u = c - -24. What is the units digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -2, -9, 2, -4, -54, 0 in increasing order.\nAnswer: -54, -9, -4, -2, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 16167 and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -26*r - 285 = -441. Solve -8 - 10 = r*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1992247 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -3 - -2?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*y**2 - 3651*y + 100764.\nAnswer: -3*(y - 27)*(y + 1244)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n\/n**(-1)*n)\/((n*n**(2\/9)\/n)\/n)*((n\/(n*n**2*n))\/n)\/((n*(n*n**(-7)\/n)\/n)\/n) assuming n is positive.\nAnswer: n**(70\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 7\/2 + -2. What is the biggest value in -1\/3, -3, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*j + 3*l - 19 = 0, -2*l + 9 + 1 = 0. What is the tens digit of 3\/(j\/(-556)*-6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 286 minutes after 1:38 AM?\nAnswer: 6:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: (-105)\/140 + 9\/36 + (378\/148 - 2)\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 179.297 micrograms in grams?\nAnswer: 0.000179297","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2 + (4 + (2*sqrt(500)*-6 - sqrt(500)) + -3*sqrt(500) + sqrt(500) + 4)**2 + -2)*3.\nAnswer: -7200*sqrt(5) + 337692","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((60\/(-8))\/5)\/((-3)\/2).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((m**(-2)\/(m\/((m*m*m\/(m*(m**(-2\/3)*m)\/m*m))\/m)))\/(((m\/(m*m*m\/m**(-1\/2)*m))\/m*m)\/(m\/(m*(m**(-3)*m*m)\/m))))**(-3) assuming m is positive.\nAnswer: m**(-19\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand (440*m**2 - 1181*m**2 - 1063*m**2)*((2*m - 4*m + m)*(-2*m - 2*m - m) - 2*m**2 + 3*m**2 - 3*m**2 + 2*m**2 + 0*m**2 + 0*m**2).\nAnswer: -9020*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -1893 - -4403?\nAnswer: 2730","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 340.\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 24970 and -5.\nAnswer: -124850","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let b(a) = 9*a**2 - 3*a - 3. Let c = 62 + -65. Let o(r) = 5*r**2 - 2*r - 2. Let s(j) = c*b(j) + 5*o(j). Determine s(2).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 93, 351, 787, 1407, 2217, 3223, 4431?\nAnswer: 5847","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s be ((-4)\/98)\/(-5*15\/175). What is the third biggest value in 24, -0.3, -1\/3, s?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 14 - 7. Suppose w - 2*a = 6 + d, -7 = w + 3*a. What is the units digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -1143\/938 - -2\/469. Find the common denominator of y and 18*2\/(-16)*-9.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(n) = n**3 + 4*n**2 + n - 2. Let s be t(-3). Suppose g - 330 = s*g. Is g*1\/(1*-2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 85 divide 6545?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let j(g) = -285*g + 300. Let s(t) = 383*t - 300. Let d(c) = -4*j(c) - 3*s(c). Determine d(-34).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 6322 is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: -18834672+-3\nAnswer: -18834675","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 7 and 10457001.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 6 - 4. Suppose -f*z - z = -18. Differentiate 3*i**2 - 3 - 6*i**2 + z wrt i.\nAnswer: -6*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(l) = l**2 - 3*l - 5. Does 8 divide y(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(x) = -3*x**2 + 44*x + 131. Let h(i) = 2*i**2 - 19*i - 66. Give 3*f(g) + 7*h(g).\nAnswer: 5*g**2 - g - 69","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (((-11040)\/(-100))\/23)\/(3\/10*(-14)\/(-28))?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 53 - 20. Suppose 7*k - 71 + 22 = 0. Calculate the remainder when x is divided by 12 + k\/((-21)\/9).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 17984 rounded to the nearest 10000?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: -13 - (-25 + (21 - 11))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 21*f - f = -167 - 33 for f.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 24*n**4\/7 - 22*n**3\/7 - 20*n**2\/7 + 22*n\/7 - 4\/7 = 0. Calculate n.\nAnswer: -1, 1\/4, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: 5 divided by 11952629\nAnswer: 5\/11952629","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 6282.\nAnswer: 2, 3, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Does 9 divide 1458674230?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Express 7975*v + 7978*v - 15950*v - 13*v**2 as r + b*v + w*v**2 and give b.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 329, 643, 957, 1271, 1585?\n\"Answer: 314*g + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*z + 16*z - 36. Suppose -3*m + 102 = -2*o + 12, -90 = -3*m - z*o. What is the highest common factor of m and 45?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*y - 14 = -m, -2*m + 3 = -4*y + 35. Find the third derivative of -6*k - 7*k**y + 6*k + 3*k**2 - 39*k**2 wrt k.\nAnswer: -840*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(l) = -l. Let b(a) be the second derivative of -13\/6*a**3 + 16 + a - 7\/2*a**2. Calculate n(b(d)).\nAnswer: 13*d + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 31513101?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*v = 63 + 33. Find the common denominator of 133\/6 and v\/(-20)*310\/(-64).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many nanometers are there in one quarter of a micrometer?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 2*4*(-1)\/(-4). Sort p, -5, -6.\nAnswer: -6, -5, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 7*i - 17*i**3 + 29*i**3 - 22*i**3 wrt i?\nAnswer: -60*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 29.5?  (a) -0.5  (b) -1\/4  (c) -2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let k(u) be the third derivative of u**8\/2520 + u**7\/315 + u**6\/225 - 721*u**2. Factor k(c).\nAnswer: 2*c**3*(c + 1)*(c + 4)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add together -3523880289 and 17.\nAnswer: -3523880272","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 109\/30056 and -143\/204.\nAnswer: 90168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 13352418?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 188\/5 + -37. What is the nearest to 0 in u, -1, -3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -89981, -180027, -270073, -360119, -450165, -540211?\n\"Answer: -90046*q + 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.1?  (a) 1\/3  (b) 0.6  (c) 0.1  (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 7*u**3*v + u**3 - 170*u**2 - 147*u*v - 6*u - 3*v wrt v.\nAnswer: 7*u**3 - 147*u - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:51 AM and 11:46 AM?\nAnswer: 595","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let a be -1*(1 + 0)*11. Suppose -27*c = -736 + 169. Let k = a + c. Calculate the greatest common factor of k and 40.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(a) = 8*a + 52. Suppose -5*y + 3*f = 21, 5*f + 7 = -3*y - 26. Let l be u(y). Is ((-134)\/(-1))\/(l\/14) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1011 (base 2) to base 15.\nAnswer: b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 667 minutes before 12:09 AM?\nAnswer: 1:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 338276 and 9196?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is (21\/77)\/(-42 - -43)?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(i) be the third derivative of -3*i**6\/5 - i**5\/60 - i**4\/24 - i**3\/6 + 3413*i**2. Give s(-1).\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*y - 53*i + 54*i + 4 = 0, -25 = -5*i. Sort y, 5, 2\/2177 in descending order.\nAnswer: 5, y, 2\/2177","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 76 minutes after 9:20 AM?\nAnswer: 10:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:09 PM and 10:26 PM?\nAnswer: 617","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Determine z, given that z**4\/3 + 232*z**3\/3 + 3011*z**2 + 118142*z\/3 + 481712\/3 = 0.\nAnswer: -187, -23, -14, -8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 a and 1 b when two letters picked without replacement from {o: 8, a: 1, b: 1, f: 1, x: 4, q: 1}?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -79.5998577 - -79.6. What is h rounded to five decimal places?\nAnswer: 0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 12504341 + 555?\nAnswer: 12505340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 8265 - 8265 - 7*a.\nAnswer: -7*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 107 = -349*x + 1903 - 51 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let p(o) = 305*o**2 + 2519*o + 29. Is p(12) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: (1\/(-4))\/(((-65)\/9750)\/((-2)\/(-3)))\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 o and 1 h when three letters picked without replacement from caaoccocachabcca?\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2672780 is divided by 1285.\nAnswer: 1265","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let g(y) = y**2 - 3*y - 7. Let u be g(7). Let b = u - 22. Calculate the remainder when (0 + 1)*b + 10 is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -5*c - s - 2, -6*s = 31*c - 26*c + 12 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -276 + 276.04. Which is smaller: -2 or c?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -16541.9 - -16556.8946. Let z = p + -15. Round z to three decimal places.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -222 divided by -7383.\nAnswer: 74\/2461","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 1\/(65\/(-20))*39\/(-6). Solve 13*t + 60 = -q*t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -12*b + 3*b - 45 = 0 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 4 + (-3)\/(6\/8). Suppose f = 2*j - 8 - 2. Find b, given that -18\/11*b**2 - 10\/11*b**3 + 14\/11*b**j + 18\/11*b**4 - 4\/11*b + 0 = 0.\nAnswer: -1, -2\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 76 minutes after 4:38 PM?\nAnswer: 5:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: -7d3a (base 14) to base 4\nAnswer: -11110300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -7.27 - -7.07. Let k = 5\/8 - 7\/8. Which is the closest to k?  (a) -3\/7  (b) s  (c) -35\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 34 a factor of 69224?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -17 - 11 = -28*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Sort -11893356, 65, 5.\nAnswer: -11893356, 5, 65","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 2488 and 56.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) -3  (b) 4  (c) 0.1  (d) -3\/4  (e) -3469\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -220*d**4 - 4*d - 288.\nAnswer: -2640*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 452934 to the power of 1\/2, to the nearest integer?\nAnswer: 673","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let d(g) = 49*g**2 + 5. Let s(v) = 24*v**2 + 3. What is -3*d(h) + 5*s(h)?\nAnswer: -27*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Sort 191, -234, 5, 4 in descending order.\nAnswer: 191, 5, 4, -234","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Sort 7, -2, -5, 3, -1 in descending order.\nAnswer: 7, 3, -1, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 63791721 and 4668?\nAnswer: 1167","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 a, 2 h, and 1 c when four letters picked without replacement from {h: 8, a: 2, w: 3, c: 6}?\nAnswer: 28\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1470\/(-30) + 3 + 18.\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 44 + 58 + 825 + 15 + 437*w**2 wrt w.\nAnswer: 874*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1 + 109 - (196 - (153 + 61)).\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3 + -4 + (1 - 0) + -3.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f(i) = -i**3 + 24*i**2 + 259*i + 6. Let k be f(40). What is k rounded to the nearest one hundred?\nAnswer: -15200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find w, given that -2*w**4\/5 + 158*w**3\/5 - 1852*w**2\/5 - 4352*w\/5 = 0.\nAnswer: -2, 0, 17, 64","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {y: 2, n: 1, h: 11}. What is prob of sequence yn?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1563753 is divided by 521215.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is -113944\/15 equal to -7595?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: -4500 divided by 150\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (13\/(-117))\/((-2)\/(-6))?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 4*s**2 - 17*s**2 + 17*s + 2*s**3 + 23*s**2 - 2 to q*s**3 + o + g*s**2 + z*s and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 42 minutes before 10:20 AM?\nAnswer: 9:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11*z - 1096 = 235. What is the units digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose d - 100 = -3*d. Suppose 20 = 4*l - 4*o, l = 5*l - 5*o - d. Find the second derivative of 9*i - 7*i + 3*i**3 + l*i wrt i.\nAnswer: 18*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -34\/31  (b) -4  (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 119460.\nAnswer: 2, 3, 5, 11, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let w(o) = -62*o - 3 + 121*o - 58*o. Let k(u) = -1. Let h be (6\/18)\/(13\/(-78)). Calculate h*w(g) + 5*k(g).\nAnswer: -2*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let n(m) = -m**2 - 2*m - 2. Let s be n(-3). Let j be (3 + s)\/((-2)\/5). Solve -p - 4 = p, -j*p = 4*v + 14 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-4 - -3)*(7 - 2). Suppose -j - 3*m = 1239 - 1215, 3*j + 2*m = -30. Sort j, i, 9 in decreasing order.\nAnswer: 9, i, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2\/7 in -0.2, -2, -182?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 s and 1 p when two letters picked without replacement from {i: 4, s: 7, p: 5}.\nAnswer: 7\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1230 + 93*a**3 + 1230 + 44*a**3.\nAnswer: 137*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 14146 and 1286?\nAnswer: 14146","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 113231717 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.7008492us to milliseconds.\nAnswer: 0.0007008492","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 910, 7990, 27420, 65374, 128026, 221550, 352120, 525910?\n\"Answer: 1029*k**3 + k**2 - 126*k + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2*s**4 + 3*s**2 - 1313*s**3 - 4 + 2 + 1311*s**3 to the form j + y*s**2 + m*s**3 + h*s + t*s**4 and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 s when three letters picked without replacement from {s: 17, o: 2}.\nAnswer: 40\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1901 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -q**4\/4 + 9*q**3\/4 - 11*q**2\/4 - 21*q\/4 = 0.\nAnswer: -1, 0, 3, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (2*y - 6*y + 3*y)*(y**2 - 4*y**2 + 7*y**2) + (5*y**2 - 27*y**2 + 3*y**2)*(y - y - 2*y) to x*y**2 + f*y + s + j*y**3 and give j.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2 = -c + 3. Let x be 33\/(-22)*(-22)\/3. Let f = x - 8. Calculate the remainder when f is divided by c.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -1016, -1196, -1424, -1724, -2120, -2636?\nAnswer: -3296","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2419, -4, -6, -1, 5 in descending order.\nAnswer: 2419, 5, -1, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is fifteen quarters of a microgram in nanograms?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 5 + 4\/1 + 4. Solve 5*d + 4*z + i = -0*d, 3*z = -d - 7 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*h + 2*j + j + 249 = 0, h = 5*j + 121. What is the highest common divisor of 14 and h?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*p = -2*d - 54, -2*d - 28 = -p + 2*d. Let s be -20*4\/p*-1. Solve -s*i - 5*v = -15, 5*v - 5 = 4*i + 28 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 3001 to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 40001 is divided by 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 q and 1 j when two letters picked without replacement from {c: 6, s: 1, j: 5, q: 2, z: 1, m: 2}.\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -2453.6 + 2460.6. Which is the closest to 2?  (a) 0.1  (b) i  (c) -1  (d) 4\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1408 is divided by 158?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 4590\/1943 or 0?\nAnswer: 4590\/1943","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -61441*w**6 + 6*w**2 - 4628?\nAnswer: -7372920*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 16*s - 138667 = -7*s. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*g = 54 - 64 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence op when two letters picked without replacement from gegojppo?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1159, -1, -133, 4 in increasing order.\nAnswer: -1159, -133, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4 = 2*i + 38. Let m = i + 24. Solve 1 = -m*z - 2 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -169*h**3 + 392*h**3 - 196*h**3.\nAnswer: 27*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 52920 and 31185?\nAnswer: 1746360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let g(u) = 13*u**3 - u**2 - u + 1. Let a be g(1). Suppose -a = 4*i + 8, -m + 2464 = 2*i. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 147284662?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let r(i) = 3*i**3 - 5*i**2 + 4*i - 2. Let f(t) = t**3 - 14*t**2 - 8*t - 88. Calculate the remainder when r(3) is divided by f(15).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(n) be the first derivative of 7*n**3\/3 + 18. Let u(d) = 2*d**2. What is h(u(t))?\nAnswer: 28*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*s = -p - 95, -2*s = 2*s - 3*p - 76. Calculate the greatest common factor of s and 95.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -115\/3216 and 167\/182400?\nAnswer: 12220800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*z - 5 = -5*z. Let v(y) = 2. Let x(d) = 10*d**2 + 2*d + 7. Let p(j) = -4*v(j) + x(j). Let r be p(z). Is 10 at most as big as r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-r + 2*r + r + 4)*(2*r - 2*r**3 - 2*r) to k*r + t*r**3 + m + w*r**2 + v*r**4 and give t.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -5, -0.4, -4, 3, -3, -0.03?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 17980 and 116.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -130 + 220550?\nAnswer: 220420","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -39 + 21. Is j < -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7*l + 41 - 6 = 0 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 15\/(-10)*50*-1. Let y = p - 54. List the prime factors of y.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*n**2\/9 - 370*n\/9 + 57772\/9 = 0. What is n?\nAnswer: -286, 101","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*v - 3 - 27. Let g be ((-44)\/(-10))\/(5\/75). What is the greatest common divisor of g and v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 127 minutes after 4:44 AM?\nAnswer: 6:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-2)\/(-7))\/(77\/(-539))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of n**6 + 214618*n**4 - 9*n**3 - 2*n**2 - 5282434 wrt n?\nAnswer: 120*n**3 + 5150832*n - 54","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 1050*b**2 + 670*b.\nAnswer: 2100","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 32 = 3*m - 7*m. Let c be 3\/(-12) + 14\/m. What are the prime factors of (3 + c)\/((-2)\/(-4))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 25 divide 36675?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -38 - -43. Suppose v + 73 = o*v - 3*q, 0 = -3*q + 15. Let h = v + -19. Solve -2*c + 2 = -h*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 13\/4 of a litre?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -q + 0*q = -p + 2, -3*p + 9 = 0. Let v be (-3 - -4)*(q - -56). Suppose 0 = 3*g - v + 3. Is g a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -42 + 40. What is the third biggest value in i, -1\/4, 2\/7, 5?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3116 to the power of 1\/5, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 102 minutes before 5:42 AM?\nAnswer: 4:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let q(m) = 41*m + 16. Is q(6) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 209860 + -209857.849742. Let c = t - 2.15. Round c to 4 dps.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 660 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -1123 - -1907. What are the prime factors of x?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 482*u - u**2 - 22 + 2105*u + 21 - 25*u**3.\nAnswer: -25*u**3 - u**2 + 2587*u - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is -7698730 > 2\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -765, -767, -771, -777?\n\"Answer: -a**2 + a - 765","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 0.04541953 + -1.64541903. Let m = 0.28 - 1.88. Let z = s - m. What is z rounded to 7 decimal places?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -2*p**2*q*x**2 - p**2*q*x + p**2*x - 16*p**2 - 2*p*q*x + 15664*q*x**2 - 3*x**2 + 24 wrt x.\nAnswer: -4*p**2*q + 31328*q - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -25 + 30. Suppose -a + 696 = 3*a - 5*u, 2*a - 378 = -n*u. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-24)\/(-84)*(-14)\/6. Let b = 0.2 - 1. Let w = -2.8 - b. What is the closest to -0.1 in w, 3, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(s) = s**2 - 2*s + 6. Calculate the remainder when 15 is divided by k(3).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sum -56.8043151374 and -0.04.\nAnswer: -56.8443151374","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {k: 2, t: 1, x: 3, o: 2, a: 4, d: 3}. Give prob of sequence xood.\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, 2, -3, -7, -0.4 in decreasing order.\nAnswer: 2, -0.4, -3, -4, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 51?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*s + z + 4 = 0, 4*z + 3 = 11. Let n be (3 + -3 - 0) + 4. Let i = -2408 + 2404. Put 9, i, s, n in decreasing order.\nAnswer: 9, n, s, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(o) = -o**2 - 5*o + 2. Let c be b(-2). Suppose 44 = -c*z + 292. Does 2 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 8.400021l to millilitres.\nAnswer: 8400.021","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t(p) be the third derivative of -p**6\/720 + p**5\/120 + 25*p**4\/144 + 7*p**3\/12 - 166*p**2 - 2*p. Factor t(m).\nAnswer: -(m - 7)*(m + 1)*(m + 3)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(d) = 19*d - 3. Let i(j) = 21409 - 21405 - 5*j - 15*j. Calculate 5*i(k) + 6*m(k).\nAnswer: 14*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -14435 = -1171*o + 17182 for o.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-12)\/(5\/(-4) - -2). Let u = w + 20. What is n in 9\/5*n - 6\/5*n**3 - 3\/5*n**5 + 9\/5*n**u - 3\/5 - 6\/5*n**2 = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(r) = 4*r**3 + r**2 + 7*r + 4. Suppose -17*y = -42*y - 95*y - 720. Let d(t) = 4*t**3 + t**2 + 8*t + 5. Determine y*d(b) + 7*o(b).\nAnswer: 4*b**3 + b**2 + b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let s(h) = 3*h**2 - 67*h - 49. Let t be s(23). Sort 0, 4, -3\/5, t.\nAnswer: t, -3\/5, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, 4, 2, 77, 1 in descending order.\nAnswer: 77, 5, 4, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of (-2 - 6\/(-15)) + 5 and 11\/25.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1780096033 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 284230245 to the nearest integer?\nAnswer: 16859","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 923 - 929 - 79\/(-26)*2?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(j) be the second derivative of 3*j**5\/100 + 7*j**4\/10 + 49*j**3\/10 + 259*j. Suppose n(t) = 0. Calculate t.\nAnswer: -7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 130 is divided by 176\/(-44) + 62\/2?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -1 not equal to 54956?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*y + 0 = 5*p - 8, -3*y = -p - 6. Suppose p = -3*s + 3, 4*j - 5*j = -3*s - 3043. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((v**(2\/75)\/v*v)**(1\/21))**(5\/13) assuming v is positive.\nAnswer: v**(2\/4095)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 307787 and 3280?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-138)\/(4 + 54\/(-13)). Suppose f - n = -78. List the prime factors of f.\nAnswer: 3, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*x - 3*x + 40. Calculate the lowest common multiple of 4 and x.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 76081?\nAnswer: 76081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (1 + -8)*1*-1. Suppose -6*f + f = -5*u + 325, 4*f = -3*u + 230. Suppose 2*o + 0*o = u. Calculate the highest common factor of h and o.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(q) = 5*q - 5. Let p be r(1). What is the nearest to p in -5, 3, 12?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 351 or -76?\nAnswer: -76","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 5329 and 438?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (102\/8)\/(-10*15\/(-11400)). Let j = u + -974. Let h(d) = 5*d - 7. Calculate h(j).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 32610 - 32610. Let f(s) be the third derivative of -1\/720*s**5 - 1\/144*s**4 + 0 + 19*s**2 + w*s**3 + 0*s. Factor f(o).\nAnswer: -o*(o + 2)\/12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1\/4, 0, -16\/37, 4, 1\/4 in ascending order.\nAnswer: -16\/37, -1\/4, 0, 1\/4, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2\/3, 4, -0.4, -1\/3 in decreasing order.\nAnswer: 4, -1\/3, -0.4, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -343 or -687\/2?\nAnswer: -343","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-1)\/10*-5*42\/(-49). What is the second smallest value in 0.01, m, -1, 2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.1?  (a) -1\/4  (b) -2  (c) -200914  (d) 2\/5  (e) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4*(0 + -2*sqrt(288) + sqrt(288) - sqrt(288))**2 + (sqrt(288) - (0 + (sqrt(288) - (sqrt(288) + -1)))**2) + -2 + 0 + -3 + -1.\nAnswer: 12*sqrt(2) + 4601","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 33 + -47. Let d(u) be the second derivative of u**4\/12 + 7*u**3\/3 - 5*u**2\/2 + 7*u. Let k be d(m). What is the third biggest value in 0.3, -3, k, 1\/8?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 5.8 - -10.2. Let x = o + -15.7. Which is the biggest value?  (a) -4  (b) 5  (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 6*(-2 + (-37)\/(-3)). Suppose x + 3*x - d = 2*s, -78 = -5*x + 2*s. What is the lowest common multiple of x and 20?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 64, 32, -62, -248, -556?\n\"Answer: -5*i**3 - i**2 + 6*i + 64","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 1  (b) 0.1  (c) -0.2  (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*o - 10 - 25. Let w(f) = -f**3 - 6*f**2 + 6*f. Let t be w(o). Let r(i) = 2*i**2 - 4*i - 3. Let n be r(-2). Solve -t = 5*g + n for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1233 - 3321 + 864 = -3773*n + 22721 for n.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 21300 + -10?\nAnswer: 21230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*c + 1186 = 5*u, 13*c = 3*u + 16*c - 699. Does 6 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -8, -2, 4, -108, 5, -102, -6.\nAnswer: -108, -102, -8, -6, -2, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1691611009?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 272449 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (11891\/5405)\/(((-63)\/(-10))\/7).\nAnswer: 22\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -11843, 0.5, 1\/11?\nAnswer: -11843","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*l + 8 = 0, -13 = -5*d - 4*l + 20. Suppose d*r + 0 = 25. Let o = 0.9 + 0.1. What is the nearest to o in -0.4, 6\/7, r?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -4 and 0.93.\nAnswer: -3.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:26 PM and 7:37 AM?\nAnswer: 611","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*q = o - 282, 3*o - 1488 = -2*o - q. Let j = 1096 - o. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 201 + -204. Put 2, -2, a in ascending order.\nAnswer: a, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(b) = -2*b**2 + 9*b + 1. Calculate m(5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (64\/(-112))\/((-6)\/(-651)). What is the biggest value in 3, 2, i?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 13\/5571560 and 91\/80?\nAnswer: 11143120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3405 is divided by 50?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*n = q - 15, 4*n + 0 = 12. Factor -3*b**4 - 8*b**3 + 5*b**3 + q*b**2 + 3*b**2 + 3*b.\nAnswer: -3*b*(b - 1)*(b + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(q) = 9*q**2 - 4*q + 2. Let w be v(3). Let p be (186\/(-8) - 6) + 3\/12. Let i = p + w. List the prime factors of i.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 37 - 57. What is the tens digit of (y\/(-12) - -3)*6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-915*x**2 - 648*x**2 + 353*x**2 - 147*x**2)*(60*x - 30*x - 4*x) to the form i*x + n*x**3 + f + a*x**2 and give n.\nAnswer: -35282","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 8 a factor of -5 + -5 + 3 - -30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from funpfannpfn. What is prob of picking 1 u, 1 p, and 1 n?\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 11*h - 42 = 13 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 0 or -69\/5245?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2209588864.\nAnswer: 2, 7, 1423, 1733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from zelz. What is prob of sequence zzl?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -83 - -88. Let s be -16 + (3 - x - -6)\/2. Let d be (14 + s)*2\/(-4) - 30. Round d to the nearest 10.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 129324864147 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 74 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is (42\/104)\/(-3)*(-3006)\/(-12525)*(-800)\/(-24)?\nAnswer: -14\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-6)\/6 + 1*19 + -5. Solve 3*b - 15 = 2*n, 5*n = 5*b - 12 - m for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 102 + -97. Suppose -4*o + 4*b = 3*b - 14, -3*o = 2*b - 5. Calculate the remainder when r is divided by o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -13.35 - -274.95. Let l = -262 + f. Let n = -2 - 7. Which is the smallest value?  (a) 0.1  (b) n  (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(v) = 4*v + v + 0 - 3. Does 5 divide q(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be -193 + 8\/((-12)\/(-3)). Suppose -563 = 2*m - 0*m - s, -2*m + 4*s - 578 = 0. Let i = p - m. What is the greatest common factor of i and 132?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(y) = -y**2 + 5*y - 6. Determine n(8).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 h and 3 q when four letters picked without replacement from {w: 2, v: 2, q: 3, t: 1, h: 4, j: 2}?\nAnswer: 4\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 12932 and 976?\nAnswer: 244","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (0 + 1*sqrt(98) + sqrt(98) - (sqrt(98)*-3 + 3))**2.\nAnswer: -210*sqrt(2) + 2459","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:21 PM and 3:24 AM?\nAnswer: 243","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {o: 5, r: 3, s: 4}. What is prob of sequence sss?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 14610437 to the power of 1\/7, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 19626?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 60 - (-3 + 1)\/((-18)\/9). Suppose -y = -2*d + 35. What are the prime factors of d?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(i) = 13*i - 68. Let l(n) = 5*n - 227. Let t be l(49). Is k(t) a multiple of 83?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (3 - 33 - 17)*(-2 + 2 - 2)*(10 + 16 - 33)*(-29 + 29 - 16*p) to the form b*p + d and give b.\nAnswer: 10528","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let u(l) = -l**2 + 13*l + 2. Let q = 1 + 31. Let v = q - 19. Let h be u(v). What is the greatest common factor of 16 and h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 5 - -6?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00065736 rounded to four dps?\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-4*(sqrt(66)*2 + sqrt(66)))\/(sqrt(44)*1))\/(-2*-6*(1*sqrt(12))\/sqrt(4)).\nAnswer: -sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 232584 to the power of 1\/7, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let l(f) = -2*f - 3. Let q be l(-5). Let n = 2 + q. What is the units digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, -2\/13, -2\/17, 0 in decreasing order.\nAnswer: 3, 0, -2\/17, -2\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let f be -1 + 6\/2 + (-4)\/2. Suppose f = -5*q + 4*b - 0*b + 482, 5*q + b = 492. List the prime factors of q.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 0.02472 + 372.97528. Is -0.1 greater than or equal to q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(z) = -z**3 - 9*z**2 + 9*z - 3. Suppose 4*f - 16 = 2*f. Suppose 2*c - c = -p - f, 8 = 4*p. What is the units digit of s(c)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: -118 divided by -1\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 77398680 and 465?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -11.99 + -0.01. Let v = -36916 + 36917. What is the nearest to v in n, -4, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 26 a factor of 360673?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -243 - -495. What is the tens digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 0*2\/(-10) + -27. Let n = 168 + t. What are the prime factors of n?\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.62 times 60?\nAnswer: -37.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let n(m) = -27*m**2 + 14*m - 7. Calculate n(1).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -4 - 7087?\nAnswer: -7090","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1752*l**3 - 1 - 3 + 1751*l**3 - 3 + 7.\nAnswer: -l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 438 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, -2.6, 11581 in decreasing order.\nAnswer: 11581, -2.6, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -117 - -117.14. What is a rounded to the nearest integer?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 232 - 232 - 2*q.\nAnswer: -2*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -4 - -3. Let n be (-1*1)\/(1\/s). Let w = 4 + n. Solve 1 = 2*l + 5*t, 0 = 2*l - l + w*t - 3 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {l: 2, y: 2, u: 1}. What is prob of picking 1 y, 1 u, and 1 l?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 7626 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let n(d) = -d**3 - 28*d**2 + 169*d + 131. What is n(6)?\nAnswer: -79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*p**3 + 70 + 13 - 83.\nAnswer: 2*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((w*w**(-4\/3))\/w)\/w)\/(w\/((w\/(w\/(w\/w**(-3)))*w)\/w)*w))**(-2\/19)*(w**(1\/3))**(-1\/23)\/(w**(-5)*w**(-1\/3)) assuming w is positive.\nAnswer: w**(7019\/1311)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4\/19*o**3 + 2\/19*o**4 + 2\/19*o**5 - 4\/19*o**2 + 2\/19*o + 2\/19.\nAnswer: 2*(o - 1)**2*(o + 1)**3\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14*w + 2*i = -668, -5 + 61 = w + 4*i. Calculate the lowest common multiple of w and 96.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(y) = 11*y + 30. Is j(18) a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(v) = v - 2. Let i(t) = -8*t + 12. Let b(d) = i(d) + 6*y(d). Let h(u) = 5 - 5 - 9*u. Calculate h(b(x)).\nAnswer: 18*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of (-2)\/7 - (-312)\/14.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(n) = -3*n**3 + 2*n**3 - 3*n + 1 + 4*n. Suppose -34*r + 26 = -8*r. Let z(d) = -d - 1. Give r*k(v) + z(v).\nAnswer: -v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of (-75)\/(-10)*6678\/35?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:59 AM and 2:43 PM?\nAnswer: 584","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Divide 6009950 by -4.\nAnswer: -3004975\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(720)*1 + 2 - (sqrt(720)*-1*-5)**2 - (-2 + sqrt(320) - sqrt(320))**2*-6*-6.\nAnswer: -18142 + 12*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is -892 times -1589?\nAnswer: 1417388","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Total of -6171458.6 and -27578.\nAnswer: -6199036.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1229 is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {f: 11, z: 9}. What is prob of picking 1 f and 1 z?\nAnswer: 99\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 684600 = -4*m - 2*m. Round m to the nearest 10000.\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 600378 to the power of 1\/3, to the nearest integer?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 78 and 3666.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -12462234515111 + u + 12462234515111.\nAnswer: u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: -1707575 (base 9) to base 3\nAnswer: -1210021122112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -1223, -9541, -32019, -75737, -147775, -255213, -405131, -604609?\n\"Answer: -1180*y**3 - 58*y + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 1645\/9 + -183. Let i = 46\/1007 - 1405271\/11077. Let a = i - -127. What is the third biggest value in j, -2\/21, a?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(u) = -u**2 - 8*u + 2. Suppose -3*w + 4 = -4*w. Let l(m) = -3*m**2 - 23*m + 7. Let j(a) = w*l(a) + 11*y(a). Calculate j(-5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 5 divided by -9.\nAnswer: -5\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-1)\/24*720771\/2. Let z = 15010 + j. Let n = -8091\/16 - -502. Calculate the common denominator of z and n.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 9448?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 12 + -7. Let x = -8 + 18. Let s = x - 6. Solve -s = -3*a + o for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 508 to the power of 1\/2, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:17 PM and 1:49 AM?\nAnswer: 692","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 x when two letters picked without replacement from ppopxxxooxpxopxx?\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let d(b) = 40*b - 70. What is the remainder when d(5) is divided by 68?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -2088 - -2064 - (1 - 20).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 19 - 101 - 1580*a**3 - 34 - 227 with respect to a.\nAnswer: -4740*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 524, 1391, 2260, 3131, 4004?\n\"Answer: x**2 + 864*x - 341","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1897 divided by 3.\nAnswer: 1897\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*s = 4*x - 18 + 39, -5*s = -x + 26. Let k = -6 + 8. Find the first derivative of x - n**2 + 2*n**k - 3*n**2 wrt n.\nAnswer: -4*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -519*b**3*q**2 - 111*b**2*q**2 - b*q**2 wrt b?\nAnswer: -3114*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 0 or -1\/25774?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -25716 - -25757 - (20 + (1 - 1))?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, 10, -11, -2, -3 in increasing order.\nAnswer: -11, -3, -2, 2, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let q(d) = 5*d - 4. Let r be q(3). Let b be (-24 + 0 - -2)\/(-1). Calculate the highest common divisor of b and r.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*q + 18 + 14. Let s be 4\/(-6)*(q + 4). Solve -4*g - s = r, 5*r - 2*g + 21 = -3*g for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 12747 - -38064?\nAnswer: 4a800","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -159.744845842 + 20.\nAnswer: -139.744845842","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 167, 164, 161, 158, 155, 152?\nAnswer: 149","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 8096, 17775, 29018, 41825, 56196, 72131?\nAnswer: 89630","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n(i) = 2*i**3 + 7*i - 17*i + 6 + 8 - i**2 + 11*i**2. Let o be n(-6). Solve -2*j = o*j - 4 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(h) be the third derivative of -h**8\/4 + 41*h**7\/70 + 63*h**6\/10 + 31*h**5\/5 + 2*h**4 - 95*h**2. Find i, given that y(i) = 0.\nAnswer: -2, -2\/7, -1\/4, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -36086, -36088, -36092, -36098?\n\"Answer: -q**2 + q - 36086","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 302 minutes after 12:15 PM?\nAnswer: 5:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*s - 12 = 0, r - 4*s = s - 18. Let v = 28 + -32. Let l be 4\/r - 36\/v. Solve -l = 4*g - 3 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -0.02, 0.8, 16, 0.2?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 1431955 and 2445.\nAnswer: 4295865","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 s and 1 r when two letters picked without replacement from {o: 1, r: 2, t: 2, k: 1, s: 1, y: 1}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 g and 1 y when two letters picked without replacement from {g: 5, c: 10, y: 3, j: 2}?\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-364)\/(-21)*60\/130. Solve 0 = -2*w + l - 0, 0 = 5*s - 5*w + 30 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 58075?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*c**2\/5 - 405*c + 61248\/5.\nAnswer: -3*(c - 29)*(c + 704)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.4, -3, 35308.\nAnswer: -3, 0.4, 35308","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let i(f) = -11*f - 2. Let r(v) = 297*v + 55. Give -55*i(j) - 2*r(j).\nAnswer: 11*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let c(d) = 2*d**2 - 18*d + 64. Let o be c(12). Which is greater: o or 137?\nAnswer: 137","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 3 - 2*d**2 - 3 + (6*d**2 - 17*d**2 + 10*d**2)*(2 + 2 - 2) + (0*d + 2*d - d)*(0*d + 5*d - 4*d).\nAnswer: -3*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Sum -640 and -12669.\nAnswer: -13309","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand -13*i + 7*i + 7*i - 5 + (2*i + 0*i + 0*i)*(1 - 3 + 0) + 4*i + i - 6*i.\nAnswer: -4*i - 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -3 - 9. Let p = -21.1 + -4.9. Let y = p - c. Sort 2, y, 3.\nAnswer: y, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(j) = 16*j**2 + 1059*j - 38. Is w(-75) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 286781296 a multiple of 1564?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 7*s + 7*s - 1176. Suppose 0 = -5*w + 201 + s. List the prime factors of w.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (15\/10)\/1*-4. Let f(c) = 11*c**2 + 8*c. Let u(k) = -10*k**2 - 8*k. Let b(r) = y*f(r) - 7*u(r). Find the second derivative of b(t) wrt t.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 y, 1 w, and 2 r when four letters picked without replacement from yywrwurrrruuwffury?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 947 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let f(w) = 26198*w + 1336100. What is f(-51)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 127 and 2583307?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5\/178, -2, -1\/144 in ascending order.\nAnswer: -2, -5\/178, -1\/144","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -468, -1020, -1572, -2124, -2676?\nAnswer: -3228","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Does 8 divide 960?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {u: 1, d: 1, o: 2, z: 4}. What is prob of picking 2 z and 2 u?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r\/r**(-3)*r**(2\/9))**(-1\/8)\/((r*r*r*r\/r**9*r*r*r**(4\/5))\/(r**0)**(-2\/185)) assuming r is positive.\nAnswer: r**(301\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence qqm when three letters picked without replacement from {m: 2, q: 2, s: 1, d: 1, b: 4, u: 2}?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 79105?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 272*t - 182*t = 1189530. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 20*u = 95*u - 24750. List the prime factors of u.\nAnswer: 2, 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-9)\/12*(-1 + -3). Let o(m) = m**2 - m - 4. Let x be o(c). Solve 21 = -x*b - 7*w + 2*w, -2*w = 10 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 18\/(-117) - 136113\/(-2301)?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0 + -4 + (3 - -2) + -5.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l(w) = w**2 - 9*w + 6. Let v be l(6). What is the units digit of (-83)\/(-4) - v\/(-16)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 4 and ((-1)\/(-2))\/((-10)\/(-820)).\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(x) = 2771*x**2 - 3*x + 5. Let n(r) = -2770*r**2 + 4*r - 5. Let d(s) = 6*j(s) + 5*n(s). Is d(-2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 3240295?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 2*((-4)\/(-14) + 1035\/322). Solve -3*o = -x*o - 4 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -2  (b) 3.1  (c) -50\/359  (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -1015 + 3044\/3. Which is the closest to -12?  (a) -2\/15  (b) p  (c) -4  (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = p + 3*p - 172. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence cco when three letters picked without replacement from cooooococoocoococo?\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 276874?\nAnswer: 2, 13, 23, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-27)\/(-5) - (-6)\/(-15). Let x(p) be the third derivative of -p**2 - 1\/3*p**3 + 0*p - 1\/8*p**4 - 1\/60*p**o + 0. Factor x(i).\nAnswer: -(i + 1)*(i + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(r) be the second derivative of -r**4\/12 + r**3 - 3*r**2\/2 - 2*r. Let l be u(4). Suppose -h + 0 = -l*s + 2, -4*s - 3*h - 6 = 0. Solve 10 = -2*f - s for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (2 - 2 + v + (-3*v + 5*v - 3*v)*(-4 + 3 + 3) - 3*v + 2*v + 0*v)*(-6 + 4 + 4)*(123*v + 194 - 194) to the form c*v**2 + b + a*v and give c.\nAnswer: -492","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 1.5999282 - 1.5985. What is z rounded to four decimal places?\nAnswer: 0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2774727239 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 312, 401, 486, 561, 620, 657, 666?\nAnswer: 641","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y(x) = 34*x**2 + 5*x - 5. Let p be y(1). Let d = p + 137. What is the highest common divisor of 19 and d?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 1 + -1.5. Let o(j) = -j**2 - 10*j - 11. Let d be o(-8). Suppose l + l + 13 = -d*t, 4*l = 5*t + 19. Which is the closest to -0.2?  (a) -4  (b) z  (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(j) = 3*j**2. Suppose 3*t - 7 = 4*w, 3*w - 4*t = t - 19. Suppose 0 = w*d - 2 - 2. Let q(f) = 3*f**2 - 5*f**2 + f**d. Give q(c(m)).\nAnswer: -9*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -2 + 368957?\nAnswer: 368955","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 6242 - 1?\nAnswer: 6241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 691 + -1686?\nAnswer: -aa5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:07 AM and 1:51 AM?\nAnswer: 44","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -1011000011011 (base 3) in base 10?\nAnswer: -610285","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/50 of a litre in millilitres?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -16*o**5 - 56*o**2?\nAnswer: -960*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2 = -6*o - 32 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let s(c) = -29*c**2 + 14*c + 4. Let q be s(3). List the prime factors of (q - -2)*30\/(-45).\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((k**(2\/7))**(6\/13))**(2\/41) assuming k is positive.\nAnswer: k**(24\/3731)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -220476386 or -220476387?\nAnswer: -220476386","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*c + 4937 - 4929 = -2*x, 0 = -11*x + 5*c + 2 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 36 and 12.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 440711 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Express -7*i**4 - 2 + 7*i**4 + 16*i**3 + 2*i**4 as d*i + z*i**4 + u*i**2 + a + w*i**3 and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 89872.2 milliseconds in nanoseconds?\nAnswer: 89872200000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(66) - 6*sqrt(66)*-1 - sqrt(66))\/sqrt(6))**2.\nAnswer: 396","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 28, 36, 44, 52, 60, 68?\n\"Answer: 8*r + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 20*2\/3*((-182 - -200) + 405\/(-20))?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 670 is divided by 221.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1\/4?  (a) -1\/12  (b) 1  (c) -3  (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let o(a) be the third derivative of -a**6\/90 - a**5\/30 + a**4\/3 - a**3\/6 + a**2. Let f(k) be the first derivative of o(k). Factor f(s).\nAnswer: -4*(s - 1)*(s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -8224 + 41119\/5. Which is the closest to 147?  (a) l  (b) 1\/3  (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 11323088 (base 9) to base 14\nAnswer: a34c94","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*s + 63 - 65 = 0. Let h = 0.4 + -0.5. What is the biggest value in h, s, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14*r = -9*r. Suppose r = 2*x - 34 - 72. Suppose -2*l + 119 = -x. List the prime factors of l.\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -16*j + 8*j = 16*j - 7176. Solve -3*s + j = -5*f + 301, -4*s - 12 = -2*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 9*u**2 - 2*u - 3*u**3 + 2*u**3 + 2*u**3 to the form o*u**3 + z*u + g*u**2 + r and give g.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-280)\/84*4\/248*504\/140.\nAnswer: -6\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 363, -4, 0.0511?\nAnswer: 0.0511","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1466 + 1118 = -62*i - 90*i for i.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let x(c) = c + 11. Let z be x(-8). Let o(r) = 2*r**2 - 4*r + 2. What is the smallest common multiple of o(z) and 10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*n - 14 = -7*n + 3*v, -3*n - 4*v - 2 = 0. What is the third derivative of 2*o**3 - 35*o**5 + 44*o**5 + 7*o**n - 2*o**3 + o**4 wrt o?\nAnswer: 540*o**2 + 24*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(w) = 5*w**3 - 2*w**2 - 13*w - 2. What is n(2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1350035.\nAnswer: 5, 193, 1399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -1 - -2. Suppose 4*y - 4 = -0*y. Let c be (-2 - (-3)\/2)\/y. What is the closest to 1 in q, 0, c?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 470 minutes before 7:22 PM?\nAnswer: 11:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -289 - -296. What is the common denominator of 101\/32 and 41\/(-3) - 2 - x?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 6997 - 0.\nAnswer: 6997","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let q(y) = -y. Suppose 0 = 18*x + 133 - 115. Let r(b) = 11*b**3 + 11*b. Calculate x*r(t) - 11*q(t).\nAnswer: -11*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 29 + -17. Suppose 0 = 6*k - 8*k + 162. Suppose 5*u + k = 261. What is the highest common factor of u and m?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -302002 - -1830959\/6. Let i = 3138 - y. Calculate the common denominator of -24 and i.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of (-106304)\/(-99) + 12\/54?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 336 at least 336?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-9)\/3*(-4)\/(-42).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 488*r**3 + 488*r**3 + 527*r**3 - 1505*r**3.\nAnswer: -2*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 13*j + 0 = 39. Put 12, -3, j in ascending order.\nAnswer: -3, j, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -2162*a + 44479 wrt a?\nAnswer: -2162","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let y(r) = 2*r + 3*r**2 - 4 + r**3 + 0*r**3 - r**2 - 6*r**2. Let w be y(4). Solve 5*p + 3 = w*p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3002 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: Collect the terms in -3*h + 1367*h**2 - 2068*h**2 - 4849*h**2 - 1.\nAnswer: -5550*h**2 - 3*h - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth biggest value in -4\/5, -0.06, 25, 1, -84\/5, 1\/5, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 22751 to the power of 1\/2, to the nearest integer?\nAnswer: 151","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.048692 milliseconds to nanoseconds.\nAnswer: 48692","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -0.3  (b) -2\/9  (c) 148  (d) 5  (e) -0.07\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let x(o) = o**2 - 4*o + 4. Let d be x(4). Suppose -b + 8 = q, 5*b = -3*q - 0*b + 20. Let s = q - d. What is the units digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 5696 and 9434?\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 56 + -58. Let k(g) = -6 + 8 + 7 - g. Let o be k(6). Which is the closest to m?  (a) -0.4  (b) 1\/6  (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 102387 is divided by 353?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let d(w) = -5*w**2 - 4*w + 4. Let s(n) = -n**2 - n + 1. Let z(o) = d(o) - 4*s(o). Let b(g) be the second derivative of -g**4\/2 + g. Calculate b(z(q)).\nAnswer: -6*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -30 = 4*q - 4*x + 10, -q + 5*x - 6 = 0. Let u be q\/(33\/54)*(-2)\/6. Let a be 2*u*3\/(-22) - 0. Is a at most as big as -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(p) = -9*p**3. Let h be j(-1). Suppose 4*q + 2 - 3 = -d, -2*d + 15 = -5*q. Suppose h = -d*u - 11. Which is the second biggest value?  (a) 3  (b) u  (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -489, -842, -1163, -1446, -1685?\n\"Answer: n**3 + 10*n**2 - 390*n - 110","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11*x - 7498 = 4228. Let i = x + -688. What is the tens digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(l) = 19*l + 137. Calculate j(-7).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: -4 * 16\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(204) - (sqrt(204) + -2*sqrt(204)*2))\/(sqrt(768)*-2).\nAnswer: -sqrt(17)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*b = -2*h - 8*b + 18, 2*b = 5*h - 16. Suppose 0 = h*s - 587 - 13. Calculate the greatest common factor of 60 and s.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p**18*p*p\/((p*p**(-9))\/p)*p**(-11\/6)*p**(-20))**(-19) assuming p is positive.\nAnswer: p**(-817\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 142 minutes after 11:49 PM?\nAnswer: 2:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 1950 divided by 390?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 54621?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: 1 - -1157.9817569\nAnswer: 1158.9817569","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: 67946 (base 14) to base 5\nAnswer: 31022110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 13*y - 2 = 12*y. Let m(w) = 107*w**3 + 3*w**2 - 3. Is m(y) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(d) = d**3 + 20*d**2 + 16*d - 2. Let p(t) = t**3 - 13*t**2 - 29*t - 34. Let n be p(15). What is the remainder when v(n) is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 66*s - 202*s = 544. Sort s, -2, 239.\nAnswer: s, -2, 239","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -2*c**5 - 116473*c**4 - 25*c**3 + 178990889*c**2?\nAnswer: -120*c**2 - 2795352*c - 150","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -8 + (9 - 2) + -5 + -87 + -10 + -15?\nAnswer: -118","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 272 and 3026?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: -8044 divided by -22634\nAnswer: 4022\/11317","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is -27847499 greater than or equal to -27847498?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let j(i) = -3*i**2. Let r(s) = 6*s + 671. Determine r(j(y)).\nAnswer: -18*y**2 + 671","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000018367822 rounded to 7 dps?\nAnswer: 0.0000184","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let g(f) be the third derivative of -f**7\/168 - f**6\/90 + 5*f**3\/6 - 3*f**2. Let x(p) be the first derivative of g(p). Find the third derivative of x(w) wrt w.\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*t - 28 = -b, 2*b + t + 9 = 20. Suppose 3*r - 18 = -i, -3*i + b*r + r = -15. Let w = -8 - -11. What is the highest common divisor of w and i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -445 - -447. Suppose -159 + 557 = q*c. Is 12 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -6916 + 6736.4. What is l rounded to the nearest 100?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(j) = -14*j**2. Suppose 6*h - 4*w - 71 = h, 3*h - 49 = 4*w. Let z(d) = -h + 28 - d - 17. What is z(a(q))?\nAnswer: 14*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*m = -4 + 24. Let z = -19 - -19.9. Let v = 1.1 + z. Sort v, 0.4, m in ascending order.\nAnswer: 0.4, v, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*s**3 - 573*s**2 - 1155*s - 579.\nAnswer: 3*(s - 193)*(s + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ggbggggggnnbnn. What is prob of picking 1 n and 1 g?\nAnswer: 32\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of (132\/(-56))\/((-200)\/(-140)) and -54\/875?\nAnswer: 3500","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 63\/(-21) - (-164)\/1. Let q = -194 + p. Is -32 at least q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 28 - 25. Suppose -h*q + 10 = -x, 5*q - x - 20 = -0*x. Let t(b) = -3*b - b + 5*b - 1. What is t(q)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 17856 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 9, -0.4, 0.08915?\nAnswer: 0.08915","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4*(sqrt(120)\/sqrt(2) + 1*sqrt(1215)))\/((-1*1*sqrt(12))\/(sqrt(4) + (sqrt(196) - sqrt(196)*-1 - sqrt(4)))).\nAnswer: 616*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence aau when three letters picked without replacement from {u: 1, t: 5, a: 3}?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is -1\/76117 smaller than 6543?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 94668.\nAnswer: 2, 3, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let q(k) = -12*k. Let s(g) be the first derivative of 2*g**2 + 9. Determine s(q(l)).\nAnswer: -48*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let u be ((-2)\/8)\/(12\/(-144)). Solve -2*o = -3 - u for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-591)\/985*(-10)\/(-64).\nAnswer: -3\/32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2?  (a) 1  (b) 0.5  (c) 2  (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 325379\/72 + -4519. Are p and 0 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 567 and 6723?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -19202, -38398, -57594, -76790, -95986?\nAnswer: -115182","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 25 divided by 473.\nAnswer: 25\/473","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let g(t) = 11*t**2. Let h(l) = -7*l**2 - 3*l - 327. Calculate h(g(x)).\nAnswer: -847*x**4 - 33*x**2 - 327","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 27*s = 9*s + 216. List the prime factors of s.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 135, 105, 55, -15?\nAnswer: -105","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -24, -36, -44, -48, -48, -44, -36?\n\"Answer: 2*s**2 - 18*s - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, 75, 2 in increasing order.\nAnswer: 0, 2, 75","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let v(c) = c**2 - 1793*c - 243845. Calculate v(-127).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 258 - 59. Suppose 4*b + b - x = -4*r, -4*r + 5*b + 209 = 0. Is r a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*q - 2*q + 0*q)*(-130 + 144 - 294)*(-2096 + 2096 - 6*q**3).\nAnswer: -3360*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is -204 times -205?\nAnswer: 41820","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let l(b) = b**2 + 4*b + 9. Let y = -215669\/8 - -26781. Let f = -665\/4 - y. Calculate the common denominator of f and l(-7).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 p, 1 q, and 1 d when three letters picked without replacement from {p: 1, d: 5, l: 1, t: 5, q: 3}.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (12 - 6 - 2)*((-u + 5 - 5)*(4 + 1 - 4) + 2*u + 4*u - 4*u + 14 - 14 + 2*u + (4*u - 6*u - 4*u)*(0 - 1 + 3)) to v + p*u and give p.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is -6.14385232 rounded to zero dps?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 0  (b) -15.324  (c) -4\/25\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -11da - -5?\nAnswer: -11d5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let v be ((-3)\/(-2) + -2)*0. Let m(u) = 2*u**3 + 8*u**2 + 5*u + 14. Let g be m(-4). Let n be 2 - (-1)\/(3\/g). Solve r + x = -v*x + 4, -4*r + 5*x - 11 = n for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*r = -5*r + 10. Suppose 3*d = 4 + r. Suppose 0*a + a - d = -2*l, 4*a + 5*l - 20 = 0. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add together -4018539 and 0.554.\nAnswer: -4018538.446","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 60047?\nAnswer: 13, 31, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1143506?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let w(g) = -g + 6. Let x(v) = -2. Let a(s) = -w(s) - 3*x(s). Let o(u) = -272*u - 1. Calculate o(a(j)).\nAnswer: -272*j - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let d(g) = -65*g - 394. Let t be d(-8). What is the greatest common divisor of t and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -3\/5 in 0, 1, 1\/4, -2\/5, -10?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify j**(-4\/3)\/j**4*(j**1)**(-1\/38) assuming j is positive.\nAnswer: j**(-611\/114)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 44 and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5 + -6*((sqrt(68)*2 - sqrt(68) - sqrt(68))**2 - sqrt(68)) + 4)*-4.\nAnswer: -48*sqrt(17) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 427\/(-28) + 18 - 1\/(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*f + 1 - 6 = 5*s, -3*s - 3 = -3*f. Let r be (-2)\/(-3)*(s - -13). Let n(b) = 6*b + 18. What are the prime factors of n(r)?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.004 and 427184.\nAnswer: 1708.736","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"}
{"text":"Question: Solve -v**3\/5 + 3126*v**2\/5 - 172584*v = 0.\nAnswer: 0, 306, 2820","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 21*w - 39 = 24. Suppose w*x - k - 1733 = 3*k, 4*x - 2315 = k. What is the hundreds digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 588, 634, 666, 684?\n\"Answer: -7*u**2 + 67*u + 528","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-6*(sqrt(175) + 3*sqrt(175)*-4) + -5)**2.\nAnswer: -3300*sqrt(7) + 762325","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: -71541720 divided by 23580\nAnswer: -3034","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 1112765650 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 127*f = 126*f + 941. What is the tens digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 4 w when four letters picked without replacement from {m: 3, f: 2, e: 2, w: 7, r: 4}?\nAnswer: 7\/612","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-6*j**2 + 8*j**2 - 27*j**2 - 1)*(1 - 2 - 2).\nAnswer: 75*j**2 + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -308*u + 14*u + 12720 = -29*u for u.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: -107 + 2 + (-739 - -839)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ll when two letters picked without replacement from {l: 6}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 22 + 22 = 22*b. What is the hundreds digit of (-9 + -209)\/(b\/(-6))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*l = -4*g - 51, 3*g = -3*l - g + 27. Let j = l + 0. Suppose -j = -3*m - 4. Solve -2*k = -2*h + 6, -7*k + 2*h = -m*k + 14 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 826, 863, 918, 985, 1058?\nAnswer: 1131","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -81, -170, -261, -354, -449?\n\"Answer: -y**2 - 86*y + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 22.685773 or -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*p - 4*n + 297425 + 52755, -4*n = 0. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 7, -2, 10 in descending order.\nAnswer: 10, 7, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 22293.\nAnswer: 3, 2477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let k(d) = -d**3 + 11*d**2 - 639*d + 5268. Give k(8).\nAnswer: 348","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 11014140201 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 1207974667 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let o(c) = 1 - 10*c + 4 - 7*c - 14. What are the prime factors of o(-7)?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -1599*j - 3132*j - 4779*j + 1378*j in the form q*j + a and give q.\nAnswer: -8132","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 679 a factor of 42387933?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Does 993 divide 486151987?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let n(y) = 425*y**4 - 6*y**3 + 6*y**2 - 6*y + 98. Let q(l) = 851*l**4 - 13*l**3 + 13*l**2 - 13*l + 199. Let g(s) = -13*n(s) + 6*q(s). Differentiate g(c) wrt c.\nAnswer: -1676*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: (20\/(-110))\/(6\/(-3))\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort 16, 0, -10336, 3, -4, -3, -24 in ascending order.\nAnswer: -10336, -24, -4, -3, 0, 3, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -0.1  (b) 41  (c) -2\/5373\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -9776 + 9778. What is the third biggest value in -2\/11, -32, 19, l?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*g - 33 - 15 = 0. Let q = -14 + g. Let k be 10\/6*(5 + -2). Which is the second smallest value?  (a) 0.2  (b) k  (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1955504978 to the power of 1\/4, to the nearest integer?\nAnswer: 210","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 17 - 16 - -13 - (-8 + 1).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -155*z - 3 = -154*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 114 and 172315408?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -3\/844 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 231 and 715833?\nAnswer: 55119141","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let -r**5\/6 + 289*r**4\/3 - 26449*r**3\/6 + 4312*r**2 = 0. What is r?\nAnswer: 0, 1, 49, 528","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let g(n) = -n + 13. Let p(s) = 11*s + 2. What is the remainder when p(2) is divided by g(0)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -4 + 4.4. Let z = -708 + 9921\/14. Let j = 1\/14 - z. Which is the nearest to 1?  (a) j  (b) m  (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 45 - (17 - -13 - 16)?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 14\/(12\/((-12)\/(-2)))*1.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand -638*l - 5*l**3 + 638*l + (-l - l + 0*l)*(-3*l - 1 + 1)*(-3*l + 0*l + 2*l).\nAnswer: -11*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is -16 + (-22 + 4 + 19 - 0)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 2 + -1545323?\nAnswer: -1545321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -21*u - 25*u + 9*u**2 + 46*u.\nAnswer: 9*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -164 = 4*n + 4*b, 35 = -n + 4*b - 2*b. Let m = 42 + n. Suppose -m*k + 45 = -120. Round k to the nearest ten.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1358\/(-291)*(-5 + 63\/14)\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 17174 + 3838. Is 46 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(v) = -5022*v - 1717516. Determine i(-342).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand 109 - 200 + 96 - 5*t + 3*t + 3*t - 5*t + 2*t - 2*t + t + (3 - 6 + 2)*(-t + t + t) - 4*t + t + t.\nAnswer: -6*t + 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*z = 6*z + 32. Let b = 45 + z. What is the tens digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -4*((-100035)\/(-76))\/81.\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 994 + -995. Which is the nearest to -6?  (a) -8  (b) w  (c) 1\/4  (d) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 172 - 180. Calculate the remainder when (-11 - m) + 2 + 103 is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, -2, -780 in increasing order.\nAnswer: -780, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -79b6031 - 4?\nAnswer: -79b6035","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 7 - 3. Solve -8 = 4*n - a*r, 0 = -4*n + 2*n + r - 1 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.5 - 1215564517?\nAnswer: -1215564516.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 3\/5 + -7\/20. Sort 5\/4, 1, 4, j.\nAnswer: j, 1, 5\/4, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: 23337 divided by -58\nAnswer: -23337\/58","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is (1*-2)\/(-5 + 5 + -2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (104\/(-12))\/((-130)\/(-195)).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 538886340?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*w + 4 = 4*h, 0 + 2 = 2*w. Suppose 3 = 3*v - h*v. Find the first derivative of u**2 - 5*u**2 - 1 + v*u**2 wrt u.\nAnswer: -2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-6 - (-12582)\/2070)\/((-6)\/20). Which is the nearest to 1?  (a) m  (b) -0.1  (c) -0.02\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(q) = 1. Let n(z) = z + 8. Let x(p) = -n(p) + 4*v(p). What is the units digit of x(-7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*n - 3*h + 259845, 5*n = -h + 359418 + 73641. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -x**3\/6 + 773*x**2\/6 - 641*x + 768.\nAnswer: -(x - 768)*(x - 3)*(x - 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 10341969 a multiple of 2299?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4447.\nAnswer: 4447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 240197 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.079 and 0.06.\nAnswer: 0.00474","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand -26*k**2 - k**4 - k**4 + 21*k**2 + (-3 - 2*k**4 + 3)*(3 - 4 + 3).\nAnswer: -6*k**4 - 5*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*v + 2*r - 12 = -v, 0 = 2*v - 5*r + 14. What is the tens digit of (-1 - -60) + v*6\/(-4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 l and 1 w when two letters picked without replacement from {s: 1, w: 1, l: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 9, 14, 19?\n\"Answer: 5*l + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 52, 110, 168?\nAnswer: 226","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 20645 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let n(z) = -41*z - 791. What is n(-18)?\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 465006?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 35 a factor of 12638172?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 3682376 (base 9) in base 4?\nAnswer: 13220332323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p(b) = 3*b**2 + 501*b + 3029. Determine p(-161).\nAnswer: 131","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:07 PM and 11:55 PM?\nAnswer: 408","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of (-190)\/4*16692\/(-195)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 271*q**5 + 118*q**2 - 4*q?\nAnswer: 16260*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 22*r - 6*r = 80 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.121?  (a) -0.3  (b) 14\/9  (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ykckr. Give prob of picking 1 r and 1 c.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -48201481\/4 or -12050371?\nAnswer: -12050371","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let f(a) = -a**3 - 12*a**2 + 13*a + 81. Give f(-12).\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let t(n) = n**3 + 18*n**2 - 41*n - 14. Calculate t(-20).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 33\/((-13431)\/(-703)) + 2\/(-1).\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-13)\/(-21) + 6\/(-21). Let t be 30\/120*(-1 + (2 - 2)). Put t, 0, o in descending order.\nAnswer: o, 0, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -42 + 45. Let i be 10*(-1 + (-14)\/(-4)). Solve 2*t = -j*t - i for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 1153 - 1816?\nAnswer: -663","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = n - t + 60, 5*n - n + 4*t = -232. Let l = n - -62. Suppose 0 = d, 2*g - 3*d - 12 = -2*g. Solve 6 = -g*m, r - 2 = l*m + 3 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*q = -5*q. Let n be q\/4 + -3 - -1. What is the remainder when 52 is divided by n\/((-6)\/27) + 2?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*x = 2*q + 2103 - 2109, 5*q - 16 = 6*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -7?  (a) 0.4  (b) -0.5  (c) 0.3  (d) 3\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Express 11*m + 27*m + 17*m - 12*m as b + g*m and give g.\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let b(n) be the first derivative of 2*n**3\/3 - 11*n**2 - 31*n + 2. Calculate b(11).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 661 minutes before 4:55 AM?\nAnswer: 5:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let f(l) = -l**3 + l**2 - l - 1. Let g(q) = 8*q**3 - 8*q**2 + 8*q + 6. Give 6*f(c) + g(c).\nAnswer: 2*c**3 - 2*c**2 + 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 49\/32 and -47\/84.\nAnswer: 672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 59.91 + -110.91. Which is the fourth smallest value?  (a) 4  (b) 3\/2  (c) -1  (d) -1\/8  (e) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 277.4118 litres in millilitres?\nAnswer: 277411.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -34961, -69553, -104157, -138773, -173401, -208041, -242693?\nAnswer: -277357","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify a\/(a\/a**(-14\/9))*a*a*a*a*a**(-1\/4)*a*a**7*a**(-16) assuming a is positive.\nAnswer: a**(-209\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let f(r) = -r**3 + 12*r**2 - 13*r + 6. Let o be f(9). Calculate the highest common factor of 12 and o.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}