{"text":"Question: Let z(y) = 24*y + 9 - 110 - 52 + 9 + 7. Calculate the remainder when z(14) is divided by 50.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*c - 5*j + 164 = -55, 4*j = -2*c + 146. What are the prime factors of c?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2998997 a multiple of 145?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let s(j) = -21*j + 186. Let c(u) = -94*u + 34. Let d(k) = -158*k + 69. Let o(f) = 5*c(f) - 3*d(f). Determine -11*o(w) - 2*s(w).\nAnswer: -2*w + 35","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let g(x) = -x**3 - 6*x**2 + 9. Let q be g(-7). Let m be 3\/9 - q\/(-6). Let u = m - 5. Solve -u*r - a - 11 = 0, 2*a = -2*a + 16 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -3, 5, -99, -4, 1, 0, 9 in decreasing order.\nAnswer: 9, 5, 1, 0, -3, -4, -99","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 1*(-3)\/(0 - 3). Let y be (10\/8)\/((-2)\/(-8)). Let t = -6 - -8. Sort t, y, z.\nAnswer: z, t, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:07 PM and 10:08 PM?\nAnswer: 481","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let y(d) = -d**3 - 42*d**2 - 5*d - 55. Let v be y(-42). Suppose -97 = -x + v. What is the tens digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -0.29 + -5.91. Let k = f - -6. Which is the nearest to 0.4?  (a) 0.4  (b) k  (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 10 = 2*y - 2*g, 0 = -816*y + 819*y - 4*g - 16 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Factor 0*p + 1\/6*p**5 - 1\/6*p**2 + 1\/6*p**4 - 1\/6*p**3 + 0.\nAnswer: p**2*(p - 1)*(p + 1)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 5*7.494.\nAnswer: 37.47","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let x(s) = s**4 - s + 7. Let r(v) = -v**2 + 2*v - 7. Let l(t) = -2*r(t) - 3*x(t). Find the second derivative of l(u) wrt u.\nAnswer: -36*u**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 716081 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -4 + 4.3. Let t = 0.05 + 0.95. Let q = 2 - t. Put 2, q, c in increasing order.\nAnswer: c, q, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*l + 13 = p, l + 2*l = -9. Put 0, -9, 3, p in descending order.\nAnswer: 3, p, 0, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5 = -2*h + 3. Suppose h*z + 68 = n, -5*n + 4*z + 167 = -93. Calculate the remainder when n is divided by 25.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(w) be the first derivative of w**4\/8 + 73*w**3\/2 + 435*w**2\/4 + 217*w\/2 + 638. Suppose d(p) = 0. Calculate p.\nAnswer: -217, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*r + r - 55 = -m, -2*r = -8. Suppose -4*v - 3 = -5*k - 16, -4*v - 5*k = -m. Does 4 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*x + 0*x + 3*x + (2*x + 3*x - 3*x)*(6 - 2 - 3) - 1 + 2*x + 1.\nAnswer: 5*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/50 of a tonne in kilograms?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (2\/3)\/(2\/9). Let z(h) = 3*h**2 + 3*h + 3. Suppose 2*m - 15 = 2*x + 5*m, -2*m = 6. Let t be z(x). What is the highest common factor of t and w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {y: 3, j: 3, z: 12, p: 2}. Give prob of picking 2 y, 1 j, and 1 p.\nAnswer: 6\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 124 and 53692.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {l: 2, g: 2, r: 2}. What is prob of picking 2 l?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1866690 is divided by 753?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -i = -3*f + 7, -2*i + f + 118 - 112 = 0 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -15?  (a) 0.2  (b) 11  (c) -3  (d) 8\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2590?\nAnswer: 2, 5, 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is -7738671 bigger than -7738643?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (0 - 5 - 11)*(-1 + 1 + 1)*(2 - d - 2) to k + y*d and give y.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-8)\/1*45\/(-72)*9\/(-555).\nAnswer: -3\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 67*v**2 - 116*v**2 + 63*v**2.\nAnswer: 14*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 6779 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve -204 = 55*s - 1194 for s.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Work out -1.92 * 1033.\nAnswer: -1983.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((o\/(o**(-3\/16)*o*o))\/o)\/((o*o*o*o*o**(-4)\/o)\/o)*o**5*o**(1\/11) assuming o is positive.\nAnswer: o**(929\/176)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is o in -2*o**2 - 2128*o - 58016 = 0?\nAnswer: -1036, -28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0*t**3 + 2*t**2 + 16*t**2 + 2330 - t**3 - 19*t**2.\nAnswer: -t**3 - t**2 + 2330","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*p = -p + 5. Let c(t) = -4190*t + 8360*t + t**2 - 4177*t - 2. What is c(p)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(t) = -36*t**2. Suppose -14 = -5*h - 4. Let p(g) = -h*g**2 - 8 + 18 - 10. What is p(s(u))?\nAnswer: -2592*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let n(t) = -630*t. Let x(g) = 27*g - 3. Determine x(n(f)).\nAnswer: -17010*f - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let o(m) = m**2 - 2*m. Let f be o(3). Suppose f*g + 2*g + 10 = 0. Sort g, -3, -5 in decreasing order.\nAnswer: g, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -138 divided by -2.\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -7.8 - -8.3. Which is the second smallest value?  (a) -1  (b) 2\/3  (c) 0  (d) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 357*m**4 + 241452*m**3 + 41344608*m**2 + 175085568*m + 54190080 = 0. What is m?\nAnswer: -336, -4, -40\/119","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Convert 115 (base 6) to base 9.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor d**4\/2 + 68671*d**3 + 4716392901*d**2\/2 + 23576814430*d + 58937744450.\nAnswer: (d + 5)**2*(d + 68666)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*s**3\/7 + 34260*s**2\/7 + 101342736*s\/7 + 19973462976\/7.\nAnswer: 3*(s + 212)*(s + 5604)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 80\/105 - 8\/84?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3950?\nAnswer: 2, 5, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 27*l**4 + 8190534*l**3 + 621086822304*l**2 - 10491818158470*l - 1173425300475 = 0. What is l?\nAnswer: -151685, -1\/9, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -43357, -43358, -43359, -43360, -43361?\n\"Answer: -g - 43356","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r(t) = -1686*t - 33202. What is r(-20)?\nAnswer: 518","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence bzk when three letters picked without replacement from {b: 4, r: 3, j: 7, k: 1, z: 3}?\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Determine m so that -40\/3*m + 20\/3 + 445\/3*m**4 - 155*m**2 + 70*m**5 - 170\/3*m**3 = 0.\nAnswer: -2, -1, -2\/7, 1\/6, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 38 divide 344622?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose x - 20*x + 323 = 0. What is the least common multiple of 11 and x?\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 600280171 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Divide 145196 by 219.\nAnswer: 145196\/219","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 90453 - 90449.6. Let p = -2\/11 - -15\/22. Put w, p, -4 in increasing order.\nAnswer: -4, p, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 1027469418*g**2*v**2 - 3*g*v**2 - 5*g - 4*v**2 - 9*v - 9555 wrt g.\nAnswer: 2054938836*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 85*c**3*o**2 - 2*c**3*o*q + 38*c*o*q**2 + 3*c*q**2 - 267*o**2*q**2 - o + 7*q**2 wrt o?\nAnswer: 170*c**3 - 534*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 1162 (base 9) in base 16?\nAnswer: 362","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -19\/1274 and 62\/37583.\nAnswer: 75166","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 45245957?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {r: 10}. Give prob of picking 3 r.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.027, 0.3, -65.6, 0.4, 2 in ascending order.\nAnswer: -65.6, 0.027, 0.3, 0.4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 298 a factor of 394552?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Round 4783.642 to the nearest one hundred.\nAnswer: 4800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 238533467?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (0\/(-4))\/(-4 - -6). Which is greater: 25 or g?\nAnswer: 25","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -31243844*f + 31243840*f + 68 = 5*u, 0 = 6*u - f - 99 for u.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 9197018.\nAnswer: 2, 31, 148339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 12583, 49808, 111685, 198220, 309419, 445288, 605833?\nAnswer: 791060","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q(u) be the first derivative of -53*u**3\/3 + 7*u**2 - 87. Find the second derivative of q(n) wrt n.\nAnswer: -106","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 g and 1 u when two letters picked without replacement from {g: 2, b: 11, u: 6}?\nAnswer: 4\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 0, 2, -0.7, -40\/43, 22?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: -0.8*-0.22\nAnswer: 0.176","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-2)\/(-16)*(-7 - -8).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -9\/8558 and 47\/42790.\nAnswer: 42790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 8*2\/4*(-38)\/152.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express 3*n - 3*n - 6*n as l + d*n and give d.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -23113169*h**2 + 8575310?\nAnswer: -46226338*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*b + 792993 - 3472948 = t, -5*b + 2*t + 6699888 = 0. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*z - c - 14, 0 = c - 1 - 0. Let k(a) = 57*a - 57. Let u(v) = 7*v - 7. Let l be (-60)\/14 + (-6)\/(-21). Let x(t) = l*k(t) + 33*u(t). Determine x(z).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -1301 - -1322. What is the remainder when 331 is divided by i?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 50390, 50393, 50400, 50411, 50426, 50445?\nAnswer: 50468","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is h in -2*h**4\/5 + 4642*h**3\/5 + 13944*h**2\/5 + 8*h\/5 - 18592\/5 = 0?\nAnswer: -2, 1, 2324","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 665 is divided by 159.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 29592 - 29592 - 7*m.\nAnswer: -7*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Express 2*v + 3*v**2 + 3*v**3 + 2*v**4 + 8 - 3 - 7 + 0*v**3 in the form g*v**3 + l*v**4 + k*v**2 + n*v + z and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 21 a factor of 138670?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-3)\/(-1) - (7 + 0). Let i(u) = -u. What are the prime factors of i(m)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 282 is divided by 151?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -75 - -63 - -36 - (0 + 14).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -2 - (4 - (-39 + -9))?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.000000367679608 to 7 dps.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1153.70666 + -1.\nAnswer: -1154.70666","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*m - 6*m + 92. Let p = m + -14. Solve 2*k + p = -3*i, k + 4*i = -k - 10 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -6*m + 27*m - 13*m to b*m + z and give b.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 62.01 - 62. What is the closest to -1 in 0, 1, j?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(y) = -2 + y + 2. Let m be v(2). Suppose 5*c - 2*z - 21 = 29, -m*c + 20 = 2*z. Is c a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 250984317 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: Let h(j) = -j**2 - 10*j + 8. Let l be h(-11). Let y be 2 - l\/(3\/7). Let o = 6 - y. Is -7\/2 < o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add together 45 and 2.49.\nAnswer: 47.49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 5616 and 4992.\nAnswer: 44928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:04 AM and 2:25 PM?\nAnswer: 321","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 3030, -3168, -9366, -15564, -21762, -27960?\n\"Answer: -6198*a + 9228","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p(d) = d**2 - 9*d - 9. Let n be 1 - (6*-5)\/3. What is the units digit of p(n)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 2090, 17962, 61064, 145016, 283438, 489950?\n\"Answer: 2270*u**3 - 5*u**2 - 3*u - 172","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z(t) = -t**3 + 68*t**2 - 1040*t + 3. What is the remainder when z(27) is divided by 84?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -10?  (a) 4  (b) 0  (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 66.78 - 0?\nAnswer: 66.78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*x + 1 = -x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 0.22 - 0.28. Let g = 0 - z. What is the nearest to -2\/7 in -1\/5, -2, g?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*o - 9*f = -11*f - 4, -5*o + 10 = 2*f for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -45\/9308 and -45\/22.\nAnswer: 102388","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 210 and 2\/7 - 89196\/(-336) - (-29)\/116?\nAnswer: 3990","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 32 + 27 - 4407*f - 6199*f - 59 to the form w*f + t and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 2848 - 2848.003826. Round d to 4 dps.\nAnswer: -0.0038","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*l - 6*l = 24. Let u(v) = v**3 + 4*v**2 + 2*v. Give u(l).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many kilograms are there in 5649.5 nanograms?\nAnswer: 0.0000000056495","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -309 = -5*r + f - 3*f, -5*f - 15 = 0. Suppose 0*k + 4*i + 11 = -3*k, 0 = -3*k + i + 14. Calculate the highest common factor of k and r.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1.85172615 rounded to one dp?\nAnswer: 1.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 47789?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 171251518.\nAnswer: 2, 157, 545387","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -8270770*w**3 - 3666479*w.\nAnswer: -49624620*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 252 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (12\/64)\/(918\/(-216)). Suppose -i - 4 = -7. What is the second smallest value in t, i, 2, -2\/7?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(h) = h**3 + 10*h**2 + 8*h - 5. Let u be x(-9). Let n = 330 - 326. Suppose 0 = n*f - 3*g - 605, -9*f + 4*g + 757 = -u*f. What is the units digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (5\/2)\/(9\/18). Suppose -5*k = 3*i - 295, -a*k + 138 + 62 = 2*i. Calculate the highest common factor of i and 57.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -16684 - -24592. Suppose 0 = -p - 2*t + 2646, 2*p - j = -p + 4*t. Calculate the remainder when p\/33 + 0 + 2 + 1 is divided by 21.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1054 is divided by 48.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3145 = 19*w - 14*w. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 4 z when four letters picked without replacement from zzzggzzzzzzzzzzzzz?\nAnswer: 91\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*h = -3*b - 24, -b = 3*h - 0*b + 14. Let r = 12\/11 - 59\/44. Put h, r, 2 in decreasing order.\nAnswer: 2, r, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -2*h**4*y - 35*h**3*y**2 + h**2 + 5*h*y**2 - 18*h*y + 3*y**2 wrt h?\nAnswer: -24*h**2*y - 210*h*y**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify y**(4\/3)\/y**0*(y*y**5\/y)\/y**(-3\/2) assuming y is positive.\nAnswer: y**(47\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -3068  (b) -2  (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 832 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -53513 + 4?\nAnswer: -53508","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let d(v) = 3*v**3 + 2*v - 1. Let s be d(1). Suppose s*p + 3 = -0*q + 3*q, -3*p = 3*q + 18. Is (-34)\/(3\/(-6 - q)) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -32*o + 35*o. Solve v + 4 = -o*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence am when two letters picked without replacement from {z: 3, m: 2, a: 1, u: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 197 + -185. Calculate the remainder when 137 is divided by p.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 58114 and 664160?\nAnswer: 4649120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many days are there in 520.24734 nanoseconds?\nAnswer: 0.00000000000602138125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d(g) = 4 - 7*g + 2*g + 2*g - g**2. Let x be d(-4). Which is greater: x or 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -301 (base 13) in base 10?\nAnswer: -508","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 4 a factor of 3\/7 + 8591\/77?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in one sixteenth of a day?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 132711 - 3*s - 265490 + 132779.\nAnswer: -3*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-18)\/(-1 - 5) + 537*1. Let q be 274\/(-2130) + 72\/s. Which is bigger: -1 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((85 - 204 - 93)*(0 - 1 + 2) + (2 + 0 - 4)*(-2 + 2 + 1))*(4*f**3 - 4*f**3 + 2*f**4).\nAnswer: -428*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -49637\/7890 - 7\/789. Let z be (-8 - (-1 - 6)) + 20372\/(-7990). Let h = z - 1\/3196. Find the common denominator of d and h.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 68*a = 61*a + 3360. Let j = -476 + a. Solve -2*t + 6 = -j*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(g) = -g**3 + 2*g**2 + 5*g - 4. Let k be o(3). Suppose k*t = t - 5. Let i(a) = 20*a**3 - a**2 - 3*a. Let r be i(t). Round r to the nearest 100.\nAnswer: -2500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -t - 2*u + 80805, 2*t - 3*t - 4*u + 80803 = 0. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -12552, -25245, -38074, -51033, -64116, -77317, -90630, -104049?\n\"Answer: g**3 - 74*g**2 - 12478*g - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 126045 divided by -3.\nAnswer: -42015","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6 = -10*k - 14. Is 16 a factor of ((-869)\/33)\/(((-4)\/(-6))\/k)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -381*g + 8 = -386*g + 3*m, 4*m = -5*g - 1 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4*-2*(1*(-5 + (sqrt(208) + 0)**2) + (1 + sqrt(208))*1 + -3).\nAnswer: 32*sqrt(13) + 1608","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 365126.\nAnswer: 2, 17, 10739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 197*w = 164*w + 66 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let v(w) = 10*w**3 + 4*w**2 + 4. Let h(j) = j**3 + j**2 + 1. Let f be 6*21\/(231\/22). Determine f*h(t) - 3*v(t).\nAnswer: -18*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2 in -5, -11, -6\/7, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-9798)\/(-2556))\/(138\/54).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 449.0887 milligrams in kilograms?\nAnswer: 0.0004490887","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: -0.185*81807\nAnswer: -15134.295","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: -7 - -5 - (-2 - (-1 - 3))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 10797 a multiple of 59?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0*c**3 - 1300 + 5*c**3 + 1300.\nAnswer: 5*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 238 = -34*l + 306 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Does 30 divide 258870?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -41\/12 and 13\/24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 29140819, 29140822, 29140827, 29140834?\n\"Answer: o**2 + 29140818","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (0 - (1 - 2) - -9) + (239 - 244).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 16\/(-12)*(-20)\/32*6. Suppose -549 = -o*w - 179. Let g = 29 + -9. What is the remainder when w is divided by g?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 1 + 1 - (35 - 31 - 18\/8). Sort -5, -4, l, 5, -2\/49 in decreasing order.\nAnswer: 5, l, -2\/49, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 618 minutes after 7:08 PM?\nAnswer: 5:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*j + 649 = 28*z + 723, 4*z - 5*j + 251 = 0 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let q(r) = -2*r**2 - 3*r - 12*r**2 + 11*r + 1 + r**3 + 30. Let l(p) = 2*p - 14. Let y be l(14). What is the units digit of q(y)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -230 divided by 230.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 0, -4, -5, 0.08, -1\/4, -194.4, 9?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 32472 and 3628008.\nAnswer: 39908088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 89*n**5 + 1348*n**4 + 4*n**2 + 3822338*n.\nAnswer: 1780*n**3 + 16176*n**2 + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let c(u) = 2*u - 4. Let a be c(6). Suppose -4*q = 850 - 590. Let p be (-4 + q)*(a\/(-6) + 1). Solve 5*o = -3 + p for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (11398\/(-287) + 41)*(-56)\/(-6).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 3 and 233.\nAnswer: 699","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -71*a**2 - 4*a**5 - 3*a**5 + 79*a**2 wrt a?\nAnswer: -420*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-m + m - m)*(-3*m**2 - 2*m**2 + m**2) + 2*m**3 + 4*m**3 - 4*m**3)*(26*m - 8*m - 8*m).\nAnswer: 60*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many weeks are there in 7.2561132 hours?\nAnswer: 0.04319115","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -1.104 and 12.\nAnswer: -13.248","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let b(n) be the third derivative of n**6\/12 - 215*n**5\/12 + 265*n**4\/12 + 535*n**3\/6 - 2636*n**2 - 3. Factor b(o).\nAnswer: 5*(o - 107)*(o - 1)*(2*o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 29682 and 13192.\nAnswer: 118728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let b(h) = -68*h + 1500. What is b(22)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 26692 and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*j = 2*o - 4 + 24, -1 = -8*o + 40*j - 39*j + 9 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 3\/(-6)*(-25 - -3). Calculate the highest common factor of 22 and a.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 392.9729 millilitres?\nAnswer: 0.3929729","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -3 + 4 + -3 + -4?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 121144337 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 33008, 33000, 32986, 32966, 32940, 32908?\nAnswer: 32870","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 2\/(-8) + (-425)\/(-68). Solve v*u - 9*u = -15 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 203 and -174.\nAnswer: -35322","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is -9 - (-12 - -10 - 5)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is -65941 bigger than -65941?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-157920002)\/(-6) - (-4)\/(-12). Suppose 0 = 5*j + 3*j - l. Round j to the nearest one hundred thousand.\nAnswer: 3300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of b*v**5 - 77645*b*v**3 - 3*b*v**2 + 6*b*v + 19*b + 316*v**4 - 19*v**2 + 55*v + 25 wrt v.\nAnswer: 60*b*v**2 - 465870*b + 7584*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -61\/616 and 15\/4.\nAnswer: 616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Round 41.57347 to one decimal place.\nAnswer: 41.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-14)\/3*(-13)\/(52\/(-6))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 1442053 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*g - o = 484, -4*o = 5*g - 3*o - 1196. Let m = 242 - g. Solve 9*c + 14 = m*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -11 and -0.6?\nAnswer: 10.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (82 - ((-4 - -1 - -4) + -1)) + -636 + 647.\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p**(-1\/5)\/p)\/(p\/(p\/(p**(1\/9)\/p*p))) assuming p is positive.\nAnswer: p**(-59\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let r(o) = -o - 4. Suppose 4*p - 13 = 55. Suppose -p*d = -7*d + 70. Calculate r(d).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 10 a factor of 4594345420?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: 1332\/(-259)*(-7)\/(-2)\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 3050, 4822, 7776, 11912, 17230?\n\"Answer: 591*u**2 - u + 2460","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 14 + -12. Let i(m) = -m**2 - 6*m - 4. Let w be i(-4). Suppose -9*b = -w*b - 15. Sort -5, r, b in decreasing order.\nAnswer: b, r, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.43162cm to kilometers.\nAnswer: 0.0000043162","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a(x) = 519*x + 13. Let s(w) = -2081*w - 50. Let p(m) = 9*a(m) + 2*s(m). Differentiate p(c) with respect to c.\nAnswer: 509","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -0.3 - -1.3. Let t = 0.2 + -0.3. Let x = -0.4 + t. What is the third smallest value in x, r, -5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*z = -z - 8. Let m = -3 + 5. Differentiate 3*l**2 + z - 5 + l**4 - 3*l**m with respect to l.\nAnswer: 4*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is (-597916)\/(-66) + (-1)\/3 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i**(2\/3))**(1\/2)*i**(7\/6)\/i**10 assuming i is positive.\nAnswer: i**(-17\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let u(f) = -f**3 + 37. Let j(g) = g**3 + 6*g**2 + 6*g + 5. Let i be j(-5). Is u(i) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(u) = 3*u**2 - 11*u + 56*u + 7 + 10 + 6. Let h be g(-14). Let j be (-2 + -1 + 2)\/2. Put h, j, -0.3 in decreasing order.\nAnswer: -0.3, j, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((2*2*sqrt(190) - sqrt(190))\/(1*sqrt(90) + sqrt(10) - sqrt(10)))**2.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 4095 and 65573550.\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 12079 to the nearest integer?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 t and 2 s when four letters picked without replacement from stststps?\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many decades are there in 3108.121 years?\nAnswer: 310.8121","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5286325*v**2 - 10*v - 10*v - 5286344*v**2.\nAnswer: -19*v**2 - 20*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00001096734 rounded to 6 decimal places?\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 191005 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3*((sqrt(75)*-4 - (sqrt(3) + sqrt(27))*-4) + 4 + (5*sqrt(132))\/sqrt(11)))**2.\nAnswer: 432*sqrt(3) + 1116","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3*(3 + -1*sqrt(1053)).\nAnswer: -9 + 27*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let m(n) be the second derivative of n**5\/24 + n**3\/6 + 2*n. Let o(v) be the second derivative of m(v). Let u(s) = -s**2. Determine u(o(x)).\nAnswer: -25*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -48.066 + 48. Round q to two decimal places.\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -2\/3, 1\/331831, -3 in descending order.\nAnswer: 1\/331831, -2\/3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1220 = -48*u + 76. Solve 0 = 10*o + 17*o + u for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {s: 17, e: 2}. What is prob of picking 2 e?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Divide 1191 by -397.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let p(z) = -z**4 + 1. Let i(o) = 4*o**4 - 5*o**3 + 8*o**2 - 4*o - 3. Let d(g) = 5*i(g) + 15*p(g). Determine t so that d(t) = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence gy when two letters picked without replacement from zyzxfjg?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 141.89222 rounded to the nearest integer?\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Sort -85, 1, -7, -1, 0 in decreasing order.\nAnswer: 1, 0, -1, -7, -85","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let n(i) = -216*i - 8. Let t be n(-13). What is t rounded to the nearest one hundred?\nAnswer: 2800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 15855571 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in 247580.1 decades?\nAnswer: 2475801","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express (4 - 1 - 1)*(5 + 2*f - 5)*(2*f**2 + 0*f**2 + 0*f**2) as c*f + g*f**3 + m + i*f**2 and give g.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-1 + sqrt(13))*4)**2 + -3 + sqrt(637).\nAnswer: -25*sqrt(13) + 221","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*l - 30 = -l - 2*c, 3*c - 30 = -5*l. Let v(a) = -a**3 + 5*a**2 + 6*a + 2. Let r be v(l). Suppose -r*i + 9 = -i. List the prime factors of i.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -173040362\/9 or -19226708?\nAnswer: -173040362\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.53797 rounded to three dps?\nAnswer: -0.538","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 18348736, 18348738, 18348742, 18348748?\nAnswer: 18348756","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort 11300, -0.16, 0.4.\nAnswer: -0.16, 0.4, 11300","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -45*i = 77*i - 651523 - 333749. Is i a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.02986*-162639.\nAnswer: 4856.40054","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 1247 and 172.\nAnswer: 4988","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -15*x + 5*l = -16*x + 15, -5*l = 2*x - 10 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let z(c) = -3*c - 43*c**3 + c + 1 + c**2 + 117*c**3. Let g(k) = -k**3 - 16*k**2 + 1. Let y be g(-16). Is z(y) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 4\/10 - (-126368)\/(-20). Let y = q + 63073\/10. What is the common denominator of -57\/14 and y?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 7155033?\nAnswer: 3, 41, 58171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Round 51.23708763 to 1 decimal place.\nAnswer: 51.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: -3 * -0.0021\nAnswer: 0.0063","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let t(j) be the first derivative of 5*j**3\/27 - 23*j**2\/18 - 28*j\/9 + 279. Suppose t(m) = 0. Calculate m.\nAnswer: -1, 28\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 756 and 336?\nAnswer: 3024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is -948825 + -0.09?\nAnswer: -948825.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 15717 and 507.\nAnswer: 507","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 25\/967614 and 7\/44.\nAnswer: 21287508","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*c - 4*u + 18 = -2*u, -2*c + 5*u - 17 = 0. What is the derivative of c*p + 2*p - 2 - 6 + 9*p wrt p?\nAnswer: 15","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 4b03 (base 13) to base 12\nAnswer: 61b6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -2678369*n**3*t**4 + 2*n**3 - 62*n**2 - 13102*n - 2*t**3 wrt t.\nAnswer: -10713476*n**3*t**3 - 6*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Express -13*r + 23*r**4 - 2*r**2 - 48*r**4 + 27*r**4 in the form u*r**4 + s*r + x*r**2 + k*r**3 + d and give s.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let n(i) = 4*i**3 - 5*i**2 + 5*i - 3. Suppose -26*c + 11*c = -75. Let a(o) = o**3 - o**2 + o - 1. Determine c*a(x) - n(x).\nAnswer: x**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 83 >= 84?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 + 0 - 1 + (2 - 2 + 4)*(2 - 2 - 2))*(-3*h + 3*h + h).\nAnswer: -9*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -23 = 5*v - 143. Calculate the lowest common multiple of v and (-40)\/(-6) + (6 - 140\/21).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 69 - 67. Let l = -1532\/3 + 511. What is the nearest to l in 1\/5, o, -52, -1\/6?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 27677?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*r - 12*r = -3, 0 = -4*o - 4*r + 28. Calculate the greatest common divisor of o and 27.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(q) = -2782*q - 47940. What is s(-17)?\nAnswer: -646","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -11425\/4 - -2856. Which is the smallest value?  (a) 3  (b) 15  (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert aba5e2 (base 16) to base 11.\nAnswer: 63936a5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y(t) = 4*t**2 + 4*t - 9. Let c(p) = -3*p**2 - 4*p + 9. Let w(n) = 5*c(n) + 4*y(n). Let d be w(7). Calculate the greatest common factor of d and 45.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:55 AM and 8:41 PM?\nAnswer: 646","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 i and 1 p when two letters picked without replacement from {h: 1, z: 1, n: 1, u: 1, i: 1, p: 2}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 450067.\nAnswer: 450067","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 13 - 3. Suppose -10 = 3*c + 4*x, d = 3*c - 2*c - 2*x. What is the second derivative of 37 + 50*g**c - 15*g + 14*g - g wrt g?\nAnswer: 100","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 3704 + -3704.5. What is the third smallest value in -20, 2, o?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, 4, -1\/5, 0.42 in ascending order.\nAnswer: -4, -1\/5, 0.42, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let u(i) = 42*i**2 + 853*i + 259. Give u(-20).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*p + 0*z + 4 = 4*z, 5*z = 5*p. Solve 2*n + 2 = -p for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -s + 9 = -w + 3, 4*s + 5*w = 15. Let j be -4 + 2 + -1132532 + s. Let x = 457471 - j. What is x rounded to the nearest 100000?\nAnswer: 1600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 35222 is divided by 18.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let h(g) = g**3 + 7*g**2 + 5*g + 7. Let n = -4 + -2. Is h(n) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -c**4*t + 62*c**4 + 51*c*t + 2*t wrt c?\nAnswer: -12*c**2*t + 744*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 63 and 15113?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {n: 2, h: 11, c: 1, a: 4, j: 1, l: 1}. Give prob of picking 1 l, 1 n, and 1 c.\nAnswer: 1\/570","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 8962?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -3?  (a) -0.5  (b) 0  (c) -3\/4  (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 2557048\/(-8552)*3\/(-69)*1?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 32 - (44 + 7 + -28 + 77).\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {u: 1, i: 2, z: 2}. What is prob of sequence iuz?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: (25\/((-12600)\/(-234)) + 21\/(-98))\/((-22)\/16)\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/8 of a kilogram in grams?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 14 a factor of 42646?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is (6\/(-10))\/(54\/(-225))?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 195*d - 2214 + 459 = 0 for d.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -32754169*n + 14564618 wrt n?\nAnswer: -32754169","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1268978 divided by 53.\nAnswer: 1268978\/53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let z(y) = -y**2 + 55*y + 1106. Calculate z(66).\nAnswer: 380","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 846909?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let -4*r**4 - 26380*r**3 + 184792*r**2 - 422480*r + 316896 = 0. Calculate r.\nAnswer: -6602, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let p(h) = h**3 - 8*h**2 + 6. Let d be p(8). Let x be (-6)\/2*8\/d. Which is the closest to 0.3?  (a) -3  (b) x  (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(o) = -o. Let h(m) = -26986*m. Give a(h(g)).\nAnswer: 26986*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 1.6 - -1.4. Suppose -2*t = -27 + 11. Let l = t - 3. Which is the smallest value?  (a) o  (b) 2\/7  (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 102 - 72. Let b(y) = -13*y**3 + y - 2. Let p be b(1). Let x be -1 - p\/(34\/6 - 5). What is the highest common divisor of n and x?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (66 - 78) + (-1 - 92 - (60 - 65)).\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from knzendky. Give prob of picking 1 e and 1 k.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*m + 4*m - 2*m)*(-38*m**2 - 10*m**2 + 71*m**2)*(-5*m**2 + 4*m**2 - 3*m**2).\nAnswer: -184*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 10007 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-30)\/15*148\/(-8))\/(1\/(23\/23))?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -31897 + 31945. Let f(y) = 41*y**2 - 4*y. Let t be f(3). Let b = -168 + t. What is the remainder when b is divided by a?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 4*d**2 - 5732*d - 516120 = 0. What is d?\nAnswer: -85, 1518","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8 = -8*p + 104. Calculate the remainder when 82 is divided by p.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 124038 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 4 divided by -2261?\nAnswer: -4\/2261","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 90, 214, 374, 570, 802?\n\"Answer: 18*z**2 + 70*z + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -333\/8 - -1099\/24. Calculate the common denominator of k and 81\/46.\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 3*a**2 - 10584*a - 417288 wrt a.\nAnswer: 6*a - 10584","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Find q, given that 0*q**3 + 3*q**3 + 675*q**4 + 2*q**2 - 674*q**4 = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 156 and 1443588.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*x = -4*w + 2*x + 45, 4*x = 5*w - 45. Suppose -5*v + 5*n + 0 = -w, 3*n = 12. Solve 10 = 3*l - v*l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 8009 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 243531294 to the power of 1\/5, to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Round 2.74032 to 0 decimal places.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-42)\/(-15) - (-3)\/15. Let f be u\/(1\/(-1 + 0)). Let o = -1 - f. Do o and 1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 83\/75 and 127\/300.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -3 - -15. Is u a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be ((-25)\/20)\/(2\/(-8)). Let f be (-2)\/3*(-15)\/t. Suppose c - f*c = -13. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*v - 14 = -2*q + 6, -5*q = 0. Which is the third biggest value?  (a) 1\/4  (b) -8  (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2861425777?\nAnswer: 7, 8039, 50849","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 4\/(-14) + (-204)\/(-28). Suppose g - 1 + 5 = 0. Let f = k + g. Calculate the least common multiple of f and 7.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 596005 to the nearest integer?\nAnswer: 772","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, 2, -16, -128711 in increasing order.\nAnswer: -128711, -16, -4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*n**5 + 4*n**5 - 3*n**5 + (-772*n**4 + 230*n**4 + 306*n**4)*(-1 + 1 + n).\nAnswer: -237*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let u(w) be the second derivative of 71*w**4\/4 - w**3\/6 + 22*w. Let m be u(-1). Let z = m - 120. What is the units digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 56, -43, -200, -409, -664, -959, -1288, -1645?\nAnswer: -2024","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2\/(2*(-2)\/10).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 46407 and 5109760?\nAnswer: 499","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 3945, 5412, 6879, 8346, 9813?\nAnswer: 11280","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-39)\/(-18) - 1\/6. Find the second derivative of -3*q**i - 2*q**2 + 2*q - q wrt q.\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 62020 and 52220.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 3 - -3*(-21)\/(-9). Let k be 1*(-3 + -4 + r). Solve -k*l = 2*l - 15 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-2)\/(-6) + (-1)\/9. Let l = 36.5 + -37.5. Which is the third biggest value?  (a) -5  (b) f  (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 265286?\nAnswer: 2, 7, 2707","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Express (-4 + v + 4)*(74 - 1231*v**3 + 522*v**3 + 716*v**3) in the form g*v**2 + c*v**4 + b + m*v + o*v**3 and give m.\nAnswer: 74","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let i(b) = 2*b**2 + 2*b - 1. Let c be i(-2). Let x = 6 - c. Let q(o) = o**3 + 51*o**2 + 519*o + 13299. Let n be q(-46). Are x and n non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -11 - 110110111101010?\nAnswer: -110110111101101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let q(h) be the third derivative of -11*h**4\/12 - h**3\/2 + 24*h**2 + 3. Let c(w) = 3*w**2. Calculate q(c(l)).\nAnswer: -66*l**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.248803 nanograms in grams?\nAnswer: 0.000000000248803","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find s such that -5*s**4 + 50*s**3 + 980*s**2 - 2210*s - 3135 = 0.\nAnswer: -11, -1, 3, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 532 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 830 is divided by 184\/7 - ((-21)\/((-2352)\/32) + 0)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*u - 20 = -3*u. Let r = u - -9. Solve -r*g + 16 = -g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 1\/891 - -27025\/1782. Calculate the common denominator of 114\/(-9)*(356\/336 + -1) and j.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (0 + 3*(((sqrt(13)*1 - sqrt(13))*-2 + sqrt(13) - sqrt(13) - (sqrt(91)*1)\/sqrt(7)) + -2 + 4 + 0 + sqrt(1300) + -2))**2.\nAnswer: 9477","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 117899 is divided by 468.\nAnswer: 431","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"}
{"text":"Question: Add -0.059 and -5563.\nAnswer: -5563.059","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 5 + (-2 - 0) - (-26 - -22)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.9068 rounded to the nearest integer?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1469 is divided by 714.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Round 7.09105536 to the nearest ten.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -39 + 43. Suppose 0 = -5*t + h + 340, w*h - 64 - 140 = -3*t. List the prime factors of t.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 15635648311 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 180 and 10722150.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*i - 9 + 3*i - 2*i)*(2*i + 6*i + 9*i)*(-1 - 1 + 1)*(0 + 0 + i).\nAnswer: 34*i**3 + 153*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 8 + -12. Let b = 5 - 6. Suppose 2*y = 19*y + 51. Put y, -2, g, b in descending order.\nAnswer: b, -2, y, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of (-1245)\/(-60) - (-3)\/(-4) and 8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -2\/19, -0.3, -9319?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*a + 11 - 11)*(3*a - a - a + 0*a - 4*a + 2*a + (a - a - a)*(0 - 2 + 3) + 2*a + 3*a - 6*a + a - a - a).\nAnswer: 8*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -1794 - 877. Let i = s + -700. Is (-4)\/(-24) - i\/6 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-126*p + 1092361 - 1092361)*(4 - 4 - 2)*(6 - 3 - 4) to a + m*p and give m.\nAnswer: -252","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -994*i**2 - 1206 wrt i.\nAnswer: -1988*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1524?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-8 + (-12 - (0 + -3)) - -5) + 12?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {t: 5, d: 1, u: 1, n: 1, l: 1, m: 4}. Give prob of picking 1 d, 1 m, and 1 u.\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 244 and 56.\nAnswer: 3416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:34 AM and 3:49 PM?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 23062216885 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 2338898 a multiple of 305?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 133137 to the nearest integer?\nAnswer: 365","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is -a808 (base 12) in base 2?\nAnswer: -100100000001000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -a6 - -3e?\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 3201562781 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 4 greater than -103?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 24 - 54. Let a be s\/10*2\/16. Let o = 1\/2 - 3\/14. What is the third biggest value in -0.5, o, a?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -116*k**3 - 420*k**2 - k + 113310 wrt k?\nAnswer: -696*k - 840","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Does 25 divide ((-14846)\/156)\/((-1)\/18)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(q) = q**3 - q**2. Let l(g) = 6*g**2 + 24*g**3 + 11*g**2 + 11*g**2 - 35*g**3 - 26*g**2. Calculate -l(v) - 2*o(v).\nAnswer: 9*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.4493842 kilograms to tonnes.\nAnswer: 0.0004493842","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is a - -53?\nAnswer: 5d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1.08?  (a) 0.167  (b) 3  (c) -497\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4252 = -q - o, 2*q - 12214 = -4*o - 3718. Suppose 0 = 41*k - 33*k - q. Calculate the remainder when k is divided by 41.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(o) = o + 14. Let x be g(-8). Suppose -j + x = -4*p + 21, 0 = -4*j + 20. What is the units digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(20)\/(-2*sqrt(30)\/sqrt(3)) + (((sqrt(72) + 1 + sqrt(72))*-6)**2 - sqrt(72)).\nAnswer: 1715*sqrt(2)\/2 + 10404","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 1966 minus 28402.2159?\nAnswer: -26436.2159","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let v(u) = -u - 1225. Let r(n) = n + 1219. What is -5*r(g) - 6*v(g)?\nAnswer: g + 1255","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let b(m) be the first derivative of -m**2\/2 + 1673. Let k(t) be the first derivative of -76*t**3\/3 - t**2\/2 + 1. What is k(b(o))?\nAnswer: -76*o**2 + o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -9 - (-13 + -31 + 11) - 15.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: -1000222 (base 3) to base 6\nAnswer: -3255","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 46 - 31. Let c be -2 - 5\/(r\/(-12)). Let a be c - -1 - 3 - -2. Solve 0 = -i + a*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 + 4 - 3)*(2*o + o - 5*o) - 6*o - 143 + 143.\nAnswer: -10*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 2 + 2967\/(-594) - -3. Let c = 48962651\/24156 - 122133\/61. Let j = c - s. Calculate the common denominator of -113\/18 and j.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 1\/4  (b) -2\/5  (c) 5\/3  (d) -3\/8  (e) -174\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*m = m - 2. Suppose -5*h + 10 = 0, 8*o - 3*o + 4*h - 38 = 0. Let k be ((2 - 6) + 8)\/o. Which is the closest to k?  (a) -0.1  (b) -4  (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 72900?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 13*b**5 - 12*b**5 - 5*b**5 + b**5 + 9*b**4 = 0. What is b?\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 630537112 plus -3?\nAnswer: 630537109","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-21)\/(-4)*(-554)\/(-5817))\/(((-8937)\/12)\/9).\nAnswer: -2\/331","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 37493 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-12)\/14)\/(6\/(-56)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s be -2*9\/6 + (-5 - -5). Let k be 1*(36\/s)\/(-4) - -45. Calculate the highest common factor of 312 and k.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 381049415?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2*x**2 + 144 - 144 - 4*x to c + u*x + k*x**2 and give u.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Work out 29 - 9004347.7.\nAnswer: -9004318.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -82*t**3 + 170*t**3 - 35*t**3 - 2*t**2 + 2*t**2.\nAnswer: 53*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let i(r) = -3*r**3 + 2*r**2 + 7*r. Let v(z) be the first derivative of -3\/4*z**4 + 2\/3*z**3 + 0*z + 23 + 3*z**2. Give 3*i(n) - 4*v(n).\nAnswer: 3*n**3 - 2*n**2 - 3*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let v(r) = -12*r + 19. Let q be v(-9). Let i = 1269\/10 - q. Let m = 2.96 + -3. Which is the smallest value?  (a) i  (b) m  (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are -12692\/45585 and -1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Round -1061.5412 to zero decimal places.\nAnswer: -1062","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from hshvshsssskwcvhv. What is prob of sequence hhw?\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of p**4 + 121*p - 113 - 58 - 79*p - 35 - 101 wrt p?\nAnswer: 4*p**3 + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 3\/(2 + 4)*42*40\/140?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 448 - 598*i**2 + 1132 - 1580.\nAnswer: -598*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 7310*t - 3 + 3 - 7312*t.\nAnswer: -2*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let q(b) = 7 - 3 + 231*b**2 + 18*b + 0 - 9. Is q(-8) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 20 + 40. Suppose -3*i = 12*i + f. Let k(u) = -5*u - 1. What is k(i)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5927 a factor of 352751332?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -4.93 - 0.07. Let v be 186\/(-26) - (2 - 9). What is the third biggest value in -0.06, v, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -24*n - 336 = -31*n. Let h(s) = s**3 + 11*s**2 + 9*s - 5. Let l be h(-10). Does 6 divide (n\/(-14))\/(l\/(630\/(-12)))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence mf when two letters picked without replacement from {m: 3, f: 1, g: 6, s: 1, n: 1}?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -8344 divided by 1192.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 1686700227 to the power of 1\/2, to the nearest integer?\nAnswer: 41069","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -157953, -632645, -1424079, -2532255, -3957173, -5698833?\nAnswer: -7757235","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j(y) = 4*y**2 - 3*y + 1. Let a(k) be the second derivative of -k**3\/6 + k**2\/2 + 8*k. Let b be a(-1). Give j(b).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-8)\/380)\/(5*9\/(-225))?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n(k) = 2*k**3 + k**2 - 1. Let i(t) = -2*t**3 - 2*t**2. What is 3*i(z) + 2*n(z)?\nAnswer: -2*z**3 - 4*z**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: 3136 times 3\nAnswer: 9408","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: -734 - 833\nAnswer: -1567","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*v = k - 2*k + 1, -k + 1 = -2*v for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose v - 4 = -2. Suppose 4*n = -2*t + 22, v*t - 9 = -2*n + 5. Solve n*i - 12 = -0*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -214*y**3 - 298*y**2 + 18*y**2 + 216*y**3 = 0. What is y?\nAnswer: 0, 140","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -271889196\/1229 - -221228. Which is bigger: 0 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*n + 2*l - 8, -5*n + 3*l = -n - 5. Let v be 25 - 4\/(-1 + n). Let i be 1400\/v - (-4)\/(-6). Calculate the greatest common divisor of i and 99.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 12\/(-2) - 46767126\/(-21). Round n to the nearest one million.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 5 * -0.93965.\nAnswer: -4.69825","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 180954628 divided by 112604?\nAnswer: 1607","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 58320166.\nAnswer: 2, 17, 479, 3581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let c(z) = -z**2 - 83*z + 2. Let k(a) = 41*a - 1. What is -2*c(m) - 5*k(m)?\nAnswer: 2*m**2 - 39*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 3.6 - 4. Let f = 39 + -78. Let i = 39.1 + f. Sort s, 5, i.\nAnswer: s, i, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -181, -1152, -2771, -5038, -7953, -11516?\nAnswer: -15727","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-30 - 13 - 2)*(992*l - 1170*l + 542*l)*(2 + 1 - 1) to r*l + i and give r.\nAnswer: -32760","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(65) + (sqrt(65)*-1 + sqrt(65))*-6 + sqrt(65))\/sqrt(5) - (1 + sqrt(1300))*3.\nAnswer: -28*sqrt(13) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Work out 6.156264 + 0.3.\nAnswer: 6.456264","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 18396 a multiple of 73?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 95\/22 and 260\/(-72) + -1*4?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in twenty-three thirds of a century?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-42)\/21*(-14)\/4)\/(47\/(-94)).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -5  (b) -0.4  (c) -70463.77  (d) 6\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -801*w**2 + 478484 - 478484.\nAnswer: -801*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1659?\nAnswer: 3, 7, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 63\/(-36) + (-34)\/1088*-632.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-85)\/(-34)*1\/10. Which is the closest to g?  (a) -2\/3  (b) -0.1  (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(y) = 98*y - 212. Let u be h(4). What is the tens digit of (-24)\/u + (-3 - (-19264)\/30)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 573.359007 to 1 decimal place.\nAnswer: 573.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*r - 4*o = 24, -2*o - 2 = -r - 20. Let i be ((-28)\/35)\/(4\/r). What are the prime factors of 0 - (i - 12)\/1?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -770158, -1540310, -2310462, -3080614, -3850766, -4620918?\n\"Answer: -770152*z - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 829653*0.394.\nAnswer: 326883.282","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-57)\/(-38))\/((-35)\/(-14)).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2747*z**2 + 3013*z**2 - 4 + 4.\nAnswer: 5760*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.181300219 to two dps.\nAnswer: 0.18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -6 + (-5 + 8 + 5 - -12)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-516)\/(-9) + 156\/234 + -1 + 2 + -3.\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is (((-117)\/18)\/((-3)\/(-12)*-2))\/(-1)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t(x) = 31*x + 6. Let v(d) = d - 1. Give t(p) + 6*v(p).\nAnswer: 37*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (f**2 - 2*f + 2*f)*(1573*f + 1085 - 1085 + (5 - 2 - 2)*(-29*f - 42 + 42)) to i*f**2 + l + q*f + o*f**3 and give o.\nAnswer: 1544","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {m: 1, d: 1, v: 1, n: 1, r: 1, x: 2}. What is prob of picking 1 v, 1 n, 1 d, and 1 x?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -0.3  (b) -0.5  (c) -29  (d) 2.2  (e) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -b + 0*z + 4*z = -4, 0 = 3*b + 5*z - 12. Suppose b*f - 24 = 116. Let c = f + -7. What are the prime factors of c?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 4 + 1055471?\nAnswer: 1055475","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let q(r) = 10*r + 335. Calculate q(-31).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from vsvjsvs. Give prob of picking 2 v, 1 s, and 1 j.\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 6544788?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 119977 and 7449481?\nAnswer: 81944291","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 50794 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -50, -60, -72, -86, -102?\nAnswer: -120","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 191947752.\nAnswer: 2, 3, 29, 30643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -30*u - 220*u + 1078986 = -64*u. What are the prime factors of u?\nAnswer: 5801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 14529, 14527, 14513, 14481, 14425, 14339, 14217?\nAnswer: 14053","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {c: 1, n: 3, s: 1}. Give prob of sequence sn.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let k(p) = p**3 + 2*p**2 + 3*p + 3. Let m = -583 + 583. Let w be k(m). Let d(c) = -11*c**3 + 3*c - 3. Let f(u) = 120*u**3 - 32*u + 32. What is w*f(j) + 32*d(j)?\nAnswer: 8*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -7 - -2. Let u = 4.9 + k. Let i = 727\/7 - 104. Which is the third smallest value?  (a) i  (b) 1\/4  (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(h) = 14*h + 187. Let u(n) = 3*n**2. Calculate k(u(z)).\nAnswer: 42*z**2 + 187","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 4 - (-4 - (6\/2 - 11))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 3649?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -22 divided by -20.\nAnswer: 11\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let w(y) be the first derivative of 8*y**3\/3 + 611. Let i(s) be the third derivative of -13*s**4\/24 + 4*s**2 + 1. Give w(i(p)).\nAnswer: 1352*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h\/(h**(-37)*h))**49 assuming h is positive.\nAnswer: h**1813","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Divide 572 by -26.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Express -n**3 + n**4 + n**3 + (5 - 5 + 3*n**2)*(n - n**2 - n) in the form m + w*n**3 + j*n**4 + i*n + o*n**2 and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 13 + 3. Let n = 8 + q. Suppose -3*x - n = x. Let t(v) = v**3 + 6*v**2 - 2*v - 6. Calculate t(x).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(r) = -2*r - 6. Let h(y) be the third derivative of -y**5\/60 - 237*y**2 + y. What is h(d(g))?\nAnswer: -4*g**2 - 24*g - 36","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of (-2*73\/(-72))\/(47880\/7182) and 49\/384.\nAnswer: 1920","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -21 + 8. Let b(j) = -j**3 - 5*j**2 + 4*j - 8. Let s be b(-6). Put s, -3, t in increasing order.\nAnswer: t, -3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1 in -6\/7, -0.6, 31?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let v(z) = z**3 - 3*z**2 - 20*z + 6. What are the prime factors of v(8)?\nAnswer: 2, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 10\/7 of a week in hours?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l(k) = -6*k**2 + 39*k - 136. What is l(5)?\nAnswer: -91","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Factor x**4\/2 + 737*x**3\/2 + 89024*x**2 + 7075482*x.\nAnswer: x*(x + 214)**2*(x + 309)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 221 + 260 + 4*v - 481.\nAnswer: 4*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*a + r = -3*r + 25188, 0 = 4*a + 2*r + 33606. What is a rounded to the nearest one thousand?\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(k) = 8*k**2. Let a(m) be the second derivative of m**4\/4 - 9*m + 1. Give q(a(p)).\nAnswer: 72*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 819816 is divided by 409905?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 157 - 53. Let j = -73 + l. Suppose -4*y + j = -1. Is 3 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -39, -74, -127, -210, -335, -514, -759?\nAnswer: -1082","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Divide -240 by -12.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 0*i + 3*i**3 + 2*i**2 - 8 + 10 - i to the form a*i + f + q*i**3 + v*i**2 and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((n*n*n**(-14))**(-35)\/(n**(-10))**(3\/25))**9 assuming n is positive.\nAnswer: n**(18954\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 144, 597, 1358, 2427, 3804?\n\"Answer: 154*b**2 - 9*b - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*p - 22*l + 14*l + 160, p = l + 22. Solve d = p*d - 54 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -2, -0.183, -6524, -1\/3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 3\/3 - 1*2. Let b be (-6)\/80*((-94)\/(-84) + -1). Let t = b + -779\/560. Are f and t equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*n = 9*n - 24. Let u be (-1)\/(-2)*n\/3. What is the second biggest value in u, -2, -2\/11?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -594 + 1784\/3. What is the second biggest value in -8928, 1\/7, o?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*q**2 + 2*q**2 - q**5 + (6 + 13 - 8)*(-2*q + 2*q + q)*(-q**4 - 2*q**4 + q**4).\nAnswer: -23*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let u(o) = 2*o**2 + 15*o - 1. What is the remainder when u(-12) is divided by 36?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-9)\/(-2) + (-9)\/(-6). Let b(f) = f**3 - 5*f**2 - 6*f + 3. What is the remainder when 9 is divided by b(j)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (6\/10)\/(-8*(-9)\/(-90)).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: (-14*14\/(-294))\/(2\/18)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 443837 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let a(b) = b**2 - b - 37. Let r be a(7). Suppose 0 = q - 4, 7*m - r*q + 18 = 5*m. Which is smaller: 2\/183 or m?\nAnswer: 2\/183","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 115607732 is divided by 5532?\nAnswer: 5528","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 155 or 151?\nAnswer: 155","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 22320*o + 22310*o - 66949*o + 22318*o.\nAnswer: -o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -480, -959, -1432, -1899, -2360?\nAnswer: -2815","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (0 - 7) + (18 - 20). What are the prime factors of 39*(-3)\/c - -3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -0.01, 5, -164?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Round 175010.9013 to the nearest 100.\nAnswer: 175000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 1410310 rounded to the nearest ten thousand?\nAnswer: 1410000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence cbq when three letters picked without replacement from {q: 1, b: 1, c: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1032*a**2 - 7*a - 1029*a**2 + 7*a.\nAnswer: 3*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 10233 and 91339?\nAnswer: 379","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -14 + 19. Suppose -z*k + 33 = 5*g - g, -g - 5*k = -27. Suppose 37 = 4*l - 7*d + 2*d, 5*d + 19 = -2*l. What is the highest common factor of g and l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(s) = -3*s**2 + 16*s + 8. Let g(k) = -2*k + 4. Let b be g(-3). Let r be l(b). Let d = 292 + r. What is the units digit of d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -1\/3456360 smaller than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let o(s) = -108*s**2. Let c(r) = 4*r**2 + 960*r - 2. Calculate c(o(m)).\nAnswer: 46656*m**4 - 103680*m**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let y be -2*5\/4*(-3 + 1). Let n(a) = 3*a**2 + 4*a**2 - y + a - 8*a**2 + 0*a**2 + 7*a. Calculate n(8).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 37157509 to the power of 1\/7, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 10 + -6 + 3\/((-3)\/2). Solve -o*a - 2 = -8 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {x: 1, g: 1, o: 1}. Give prob of sequence gx.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -47\/71976 and -113\/215928.\nAnswer: 215928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Does 15 divide 771?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -13.21*-3.5.\nAnswer: 46.235","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many decades are there in 9.391051 years?\nAnswer: 0.9391051","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ax when two letters picked without replacement from rxjaxpxax?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let q(b) = 2*b**3 + 11*b**2 - 9*b + 11. Let r(p) = 5*p**3 + 24*p**2 - 19*p + 24. Let a(j) = 7*q(j) - 3*r(j). Calculate a(5).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(v) = -2*v**2 - 6*v - 4. Suppose 0 = 13*d + 10681 - 10538. Let c(m) = 5*m**2 + 19*m + 11. Give d*w(a) - 4*c(a).\nAnswer: 2*a**2 - 10*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is -5985 divided by -9?\nAnswer: 665","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let c(r) = -r**2 + 18*r - 5. What is c(17)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Work out -219.64 + 5.\nAnswer: -214.64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 1.872828 rounded to one dp?\nAnswer: 1.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5*o - o - 2*o)*(-6*o + 3*o - 4 + 2*o).\nAnswer: -2*o**2 - 8*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let i(n) = 0*n**2 - 9*n**2 + 6 + n**3 + 0 - 4*n. Let j be i(10). Let h = -24 + j. Calculate the remainder when h is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -13*h + 888 = -7900. Calculate the remainder when h is divided by 36.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(p) = p**3 + 2*p**2 - p + 3. Let x be b(3). Suppose 130 - x = 5*w. What is the remainder when w is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 20 + -20.2. What is the second smallest value in 0.1, g, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -845 - -848. Suppose v*k + o = 394, 3*k + 15*o - 392 = 13*o. Is k a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 42*c*g**2 + 38*c*g + 55*c + g**2 - 2*g + 409 wrt g?\nAnswer: 84*c*g + 38*c + 2*g - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 21 + 0 + -4 + 113 + -99 + -16?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 6.07 - 0.07. Let q = g + -6.084. What is q rounded to 2 dps?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1?  (a) -0.76  (b) 2  (c) -0.3  (d) 211\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: -212e (base 15) to base 12\nAnswer: -408b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify c**(-8)\/(c*c**(-2\/11)*c)*((c\/((c\/c**(-5)*c)\/c*c))\/c*c)**(-1\/34) assuming c is positive.\nAnswer: c**(-1803\/187)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let u(a) = a**2 + 3*a. Calculate u(7).\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 22 - 33. Let r = 21 + t. Let h(k) = -k**3 + 11*k**2 - 8*k + 2. What are the prime factors of h(r)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*w = -3*w + 135. Suppose w = 5*b + 2*r, 5*r = -2*b + 7 + 11. Solve 4*a = b*a - 3*s + 31, 11 = -3*a - 2*s for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from uuugugugguguu. What is prob of sequence gu?\nAnswer: 10\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-30)\/(-735)*((-2)\/30)\/((-54)\/405)?\nAnswer: 1\/49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d(u) = u**3 - 8*u**2 - 28*u + 16. Is d(11) 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 994322160?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let h(l) = -6*l**2. Let y(k) = -2*k + 2. What is y(h(a))?\nAnswer: 12*a**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let s(n) = n**2 - 2*n + 2. Suppose 7*b - 3 = 18. Give s(b).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 8544?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 842*p - 328*p + 1623*p + 14959 for p.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -138 - -238. Suppose 3*h = -17*h + j. Suppose -2*v + 7*v = 85. Calculate the least common multiple of v and h.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*f - 2*k = 4*f + 126, 4*k = f - 52. Solve -22 + 21 = 3*c - 2*h, 5*c = -5*h + f for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(q) = q**3 - 4*q**2 - 8*q + 4. Let t be i(-2). Sort t, -0.5, -0.07, -7 in decreasing order.\nAnswer: -0.07, -0.5, t, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:31 PM and 1:20 AM?\nAnswer: 709","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-10 + d + 12 - 2*d)*(5 - 10 - 3 - 2*d) to the form f*d**2 + t*d + u and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 495?\nAnswer: 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 291204 and 679476.\nAnswer: 2038428","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3821*f + 897 = -3890*f for f.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 5307 and 366?\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*t + s + 4 = -19, -3*s + 11 = -t. Let f(n) = -n - 8. Let i be f(-7). Let a be ((-1)\/i)\/(2\/(-14)). Is a at least t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: -110052 divided by -27\nAnswer: 4076","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -9539 + 12708. What are the prime factors of d?\nAnswer: 3169","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 6094\/4155 - 2\/15?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be ((-2)\/6)\/((-1)\/(-15)). What is the remainder when (-325)\/s - (0 - 2) is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(b) = -b**3 + 22*b**2 + 14*b + 276. Let a be g(23). Suppose 3*w - 154 = 4*i + 56, -120 = -2*w - 4*i. Let q = a - w. Solve 3*c + 9 = q for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (224\/(-20))\/((-17 + 1)*(-49)\/1960)?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 46139376?\nAnswer: 2, 3, 271, 3547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Are 398051 and 398050 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 22*j**3 - 57*j**2 - 11709*j wrt j?\nAnswer: 132*j - 114","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Express 27748*g + 11*g**3 + 39 - 13872*g - 13877*g in the form r*g**3 + f*g + o*g**2 + l and give l.\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*p**4 - p**4 + 2*p**4)*(4*p + 1 + 2 - 1).\nAnswer: -8*p**5 - 4*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: 5.9+-301443600\nAnswer: -301443594.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 16 = 5*g - 3*g. Let s be 3\/((15\/(-32))\/(-5)). What is the greatest common divisor of g and s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 357 is divided by 196.\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3 + 18 = 5*q. Suppose p + 24 = -4*z, 0 = -0*p + 5*p - q*z + 51. Let j(g) = -g + 16. What is the tens digit of j(p)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 7c9d0 - 0?\nAnswer: 7c9d0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*o**2 - 9315*o.\nAnswer: -3*o*(o + 3105)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -178, -183, -200, -235, -294, -383?\nAnswer: -508","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y(f) = 6*f - 42. Let k(x) = -x. Let t(s) = -3*k(s) + y(s). Let h be t(5). Suppose -6 = -h*c, -5*q + 3*c + 586 + 993 = 0. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from gyywwwyygiywyfff. Give prob of picking 1 y, 1 f, and 1 w.\nAnswer: 9\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 24 + -22.88. Let r = 2.12 - q. What is the smallest value in r, 2\/5, 2\/41?\nAnswer: 2\/41","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 155 is divided by 20?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 173034824231 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -43 - -43.1. What is the nearest to 1\/3 in -5, 0, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1124845 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -5489720709 + 5489721770.9998986. Let s = n + -1062. Round s to five decimal places.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 8853 and 3055.\nAnswer: 2080455","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 6\/301843039 or 0?\nAnswer: 6\/301843039","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -70, -84, -116, -172, -258?\n\"Answer: -q**3 - 3*q**2 + 2*q - 68","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3019, 0.1, -1\/8, -4 in descending order.\nAnswer: 0.1, -1\/8, -4, -3019","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let y(i) be the second derivative of 0 - 9\/2*i**3 - 1\/2*i**4 + 27\/20*i**5 + 3*i**2 - 4*i. Factor y(v).\nAnswer: 3*(v - 1)*(v + 1)*(9*v - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be ((-1)\/(2\/(-34)))\/(2\/(-4)). Let a = j - -36. Let n be (1 + -2)\/(5\/(-2) + a). Solve 4*q - 23 + 7 = 2*b, -n*b = 5*q - 29 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -82464, -82459, -82452, -82443, -82432?\nAnswer: -82419","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b(h) = h**3 - h**2 + h. Let l(z) = -2 + 10*z**2 - 21*z - 4*z**2 + 12*z + z - 2*z**3. Give -6*b(o) - l(o).\nAnswer: -4*o**3 + 2*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.7 * -0.03.\nAnswer: -0.021","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let a(v) = 2*v**3 + 11*v**2 + 8*v + 7. Calculate a(-5).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let y(u) = -u**3 + 36*u**2 + 40*u - 100. Let l be y(37). Solve z + l = 16 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(t) = 21*t**2 + 74*t + 7. What is p(-3)?\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -25\/1581088 and -61\/395272.\nAnswer: 1581088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -93746 + 133127. Let j(p) = 39381 - o + 31*p. Let g(k) = 3*k. What is g(j(f))?\nAnswer: 93*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: 29015a7 (base 11) to base 15\nAnswer: 689d59","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v(n) = -14*n**2 + 7*n**2 + 5*n - 5*n + 5*n**2. Let h(q) = -3*q**2 - 27*q**2 - 25 - q + 25. What is v(h(i))?\nAnswer: -1800*i**4 - 120*i**3 - 2*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 13691 less than 15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 1249 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -24458, -57038, -89618, -122198?\n\"Answer: -32580*s + 8122","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 235*d**2 + 7723*d - 88*d**2 - 56*d**2 - 7*d**3 - 90*d**2 + 6*d**5 wrt d?\nAnswer: 120*d**3 - 42*d + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 999c + 2?\nAnswer: 99a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 11306 divided by 14003.\nAnswer: 11306\/14003","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 3679 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let u(y) = -2*y + 6*y + 0*y - 2*y + 2. What is u(-5)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(q) = -q - 7. Let x be c(-9). Suppose -77 = -5*r + 3*u - 0, 0 = 2*r + x*u - 18. What is the remainder when r is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 6348?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence vvv when three letters picked without replacement from qvvvvvvqvqqvqvqvvv.\nAnswer: 55\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -29\/40772 and -5\/33473812?\nAnswer: 33473812","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let j(f) = -f**2 + 5*f + 37. Determine j(5).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence qph when three letters picked without replacement from qxqhxpphmpppppxqpmqq?\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is -18473 minus 0.5?\nAnswer: -18473.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 111 + 700*i - 242*i - 110 to y*i + l and give y.\nAnswer: 458","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 80 and 85?\nAnswer: 1360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Work out -1 * 0.0569.\nAnswer: -0.0569","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 42419 is divided by 404.\nAnswer: 403","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {f: 2, o: 1, u: 2, d: 2, h: 3, q: 2}. What is prob of picking 1 u, 1 h, and 1 f?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let w(x) be the second derivative of x**4\/24 + 19*x**3\/6 + 35*x**2\/2 - 32*x. Let l(v) be the first derivative of w(v). What is l(0)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 0, -0.07, 5755?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is -8 - 489\/(-30) - (6 - -2)?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Determine r, given that -2*r**4\/7 + 1157648*r**3\/7 + 8103604*r**2\/7 + 17364912*r\/7 + 10418958\/7 = 0.\nAnswer: -3, -1, 578831","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -168263.9750458 + 168264. Let g = 0.025 - t. Round g to six dps.\nAnswer: 0.000046","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 6305 + -6305.35. Sort -5\/3, -1, n, -0.1, -0.03.\nAnswer: -5\/3, -1, n, -0.1, -0.03","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 214644 divided by -372.\nAnswer: -577","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 k, 1 u, 1 p, and 1 o when four letters picked without replacement from {k: 5, p: 1, u: 7, o: 3}?\nAnswer: 3\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Find w such that 10*w**5 - 4954*w**4 + 364650*w**3 + 595162*w**2 + 76508*w - 149040 = 0.\nAnswer: -1, 2\/5, 92, 405","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (((-44)\/(-2))\/1)\/2*5989\/(-5989)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z(f) = f - 5. Let w be z(5). Let j(b) be the third derivative of b**2 + 0*b**4 + 1\/20*b**5 + w*b**3 + 0 + 0*b. Let s(o) = -2*o. What is s(j(d))?\nAnswer: -6*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*b**2 - 4*b**2 + 0*b**2)*(3*b + 4*b + b + (2 + 0 + 0)*(-2*b + 0*b + 0*b) - 2*b + 0*b + 0*b).\nAnswer: -8*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -40*c*n - 1043*c - 9*n**3 wrt n.\nAnswer: -40*c - 27*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -19897, -39928, -59959, -79990, -100021?\n\"Answer: -20031*r + 134","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 5 and 13.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -186 = 141*a - 79*a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from pineiieniineiiee. Give prob of picking 1 e, 1 p, and 2 n.\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let o(y) be the third derivative of -y**6\/120 - 9*y**5\/20 - y**4\/24 - y**3\/3 - 2*y**2 + 19. Is o(-29) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*n - 2*n = -22. Suppose -n*p - p = -15. Suppose -p*j + j = -940. List the prime factors of j.\nAnswer: 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-208)\/(-884) + (26 - 6388\/272)?\nAnswer: 11\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 e and 1 k when two letters picked without replacement from {r: 1, v: 2, e: 1, d: 2, k: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 8440 divided by 4220.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is -10111100101000 (base 2) in base 11?\nAnswer: -9085","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*x + 0*x + 0*x)*(4*x + 4*x - 2*x)*(-1 - x + 1).\nAnswer: 18*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*h + 11 = -5*o - 4, -3*h - 13 = 4*o. Let w be (2\/o)\/(1\/(-14)). Let f = w - -24. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*x + 128 = -0*x. Let t = 132 - x. Suppose 222 = 2*n + t. What are the prime factors of n?\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(s) = -15 + 19 - s + 1. What is n(8)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*p - 3*t + 29, 0 = p + p + t - 11. Find the second derivative of -102*k**4 + 2*k + 98*k**p - 4*k wrt k.\nAnswer: -48*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(g) = 3*g + 4. Let p(d) = d**3 + 17*d**2 - 2. Let y be p(-17). Let i be z(y). Calculate the remainder when 36 is divided by -3 - (-12 - (-2)\/i).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2.3 minus -22?\nAnswer: 19.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 391 minutes after 1:09 AM?\nAnswer: 7:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4754737 + 4752819 - 2*m + 0*m.\nAnswer: -2*m - 1918","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence iidu when four letters picked without replacement from {d: 1, i: 2, y: 1, z: 5, u: 1}.\nAnswer: 1\/2520","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let s(j) = -9*j - 9. Suppose 0 = 3*u - 0 - 24. Let r be s(u). What is the common denominator of 72\/r*(-6 + 0) and -23\/12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:42 AM and 10:25 AM?\nAnswer: 103","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -w - 19 + 45 = 0. Let l(n) = n**3 - 4*n**2 + 3*n. Let f(p) be the first derivative of -p**4 + 17*p**3\/3 - 13*p**2\/2 - 6. Calculate w*l(u) + 6*f(u).\nAnswer: 2*u**3 - 2*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 1546336092 a multiple of 42?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((6\/(-112))\/(5 + 2580\/(-420)))\/((-1)\/(-12)).\nAnswer: 9\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5 = 4*o + 47. Let r = o - -16. Suppose -r*i + 9 = 0, 3245 - 12460 = -2*b - 5*i. Round b to the nearest 1000.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.1*9.86.\nAnswer: -0.986","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 1278\/12*4\/6. Let k = q + -41. List the prime factors of k.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(k) = -26*k**2 - 16. Let x be (-46)\/207 + -1 + 32\/(-18). Let d(w) = 5*w**2 + 3. Determine x*y(l) - 16*d(l).\nAnswer: -2*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*v - i = 1 - 6, -3*v + 2*i = 10. Let y(g) = g**3 + 2*g**2 - 3*g + 3. Let q be y(-3). Solve v*s - 6 = q*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -31550000 to the nearest 1000000.\nAnswer: -32000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: -177 times -2\nAnswer: 354","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Factor -27436*j**3 + 12996*j**2 - 2052*j + 108.\nAnswer: -4*(19*j - 3)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let q(x) = 8 + 0*x - 2*x + 5 + 3*x. Let z be q(-9). Let k = 14 + z. List the prime factors of k.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 15002 or -3\/1405?\nAnswer: 15002","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) 0  (b) -3  (c) 2  (d) -32.8  (e) -0.06  (f) 616\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 3700 in -3, -17, -1\/26, -0.8?\nAnswer: -1\/26","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 46 is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -11*t + 18*t - 7 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00011474597 to five dps.\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 128531387 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: -4053054 (base 8) to base 2\nAnswer: -100000101011000101100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 148476999?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let w(h) = -h + 3. Let u be w(13). Let v = u + 8. Let y be (-126)\/66 + v\/(-2). Is y not equal to -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -66, -110, -130, -114, -50?\n\"Answer: 2*o**3 - 58*o - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 595 is divided by -110*10\/(-250) + 6\/10.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5 + sqrt(125) + -2 + sqrt(125) + 0 + -5)**2 - (((sqrt(125) - sqrt(125)*2) + -1 + -2*sqrt(125) + 4)*5)**2.\nAnswer: -27846 + 2210*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 2387642491 to the power of 1\/7, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let h(v) = -v**2 - 11*v + 25. Let l be h(-11). Suppose 5*z - l - 8 = -d, 0 = 2*d + 4*z - 66. Suppose d = 5*k - 37. Is 2 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 0.5 + -3.5. Let i = y - -3. Which is the nearest to 0.1?  (a) -1\/3  (b) 2\/5  (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.3 and -1.6?\nAnswer: 0.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let u(i) = -37*i + 50. Let k(x) = 186*x - 248. Let a(f) = -2*k(f) - 11*u(f). Find the first derivative of a(v) wrt v.\nAnswer: 35","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(r) = -10*r + 1. What is the units digit of s(-9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (0*h - 7*h + 3*h)*(-7 + 5 - 1) + 3*h - 6*h + h + 2*h + 8 - 8 in the form l*h + j and give l.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -258 + 411. Let i be 714\/63*(-1)\/(-2)*3. Calculate the greatest common divisor of i and x.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1?  (a) 7  (b) 1  (c) 81  (d) -139.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let v(d) = 134*d - 16201. What is v(121)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Work out -362.30936632703 + 0.1.\nAnswer: -362.20936632703","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 743537 to the power of 1\/3, to the nearest integer?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:56 AM and 8:52 PM?\nAnswer: 596","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*g = 2*g. Suppose -2*b - 5 + 115 = g. List the prime factors of b.\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 p when two letters picked without replacement from pwwwpwpwwppwpwwwpww?\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 8697244 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let w(b) = -5*b**3 + 13*b**2 - 85*b + 128. Is w(-39) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1 in 2\/3, -1\/2, 5, -5401.3?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.2 and -0.14.\nAnswer: -0.028","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand (597 - 6112*a - 1269 + 672)*(5 - 3 - 1).\nAnswer: -6112*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -822, -815, -796, -759, -698, -607, -480?\nAnswer: -311","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve u - 59 = k - 60, 2*u + 22 = -3*k for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 2608, 2653, 2696, 2737, 2776?\nAnswer: 2813","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2*6*(1 + 2 + sqrt(612))**2 + -1*(sqrt(612)*-5 + 2)**2*-5.\nAnswer: -1032*sqrt(17) + 69068","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -428a7 - 0?\nAnswer: -428a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5*(1*(sqrt(1900)*-2 + -4 - (-1 + sqrt(1900) + -3)) + -3)**2.\nAnswer: -85545 - 900*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 75451929?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1537 is divided by 131.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose x + 70 = 5*l, 1 = -2*l + 5*x + 52. What is the remainder when 214 is divided by l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*b + 2*b + b + (-1 - 2 + 4)*(0 + 0 + b) + b + 2*b - b)*(-41 + 114 - b**2 - 46).\nAnswer: -4*b**3 + 108*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = i + 2*f - 2, 5*f - 5 = -2*i. Suppose -30 = -4*d + 5*b, 2*d - 2 = -4*b - i. List the prime factors of d.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*a - 3*a - 8 + 5 + (10 - 10 - 3*a)*((-3 + 0 + 1)*(-2 - 3 + 6) + 5 + 0 - 1).\nAnswer: -7*a - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 + (-20 - -1 - (-4 - 3))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-136)\/119*14\/(-4). Suppose 0 = b*a - 7*a + 6. Determine w, given that -8 + 36*w**3 - 40*w**3 + 2*w**a - 2*w**2 + 12*w = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(b) = -26*b**3 - b**2 + b + 1. Is q(-1) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(f) be the first derivative of -f**3\/8 - 9*f**2\/16 + 3*f\/2 + 26. Solve u(y) = 0.\nAnswer: -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 634, 1293, 1980, 2695?\n\"Answer: 14*v**2 + 617*v + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -8*h + 26*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*n + 2*i + 22 = 0, 2*n - 8 = 3*i - 2*i. Find the common denominator of 4 - (-277)\/(-35) - n\/(-30) and 59\/114.\nAnswer: 798","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -302.684 + -0.316. Let h = w - -298. Sort h, 6\/7, -2\/21 in increasing order.\nAnswer: h, -2\/21, 6\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 1544762 - 905762. What is d rounded to the nearest 1000000?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -20*t = -5*l - 18*t + 38227, 5*l - 38223 = -2*t. List the prime factors of l.\nAnswer: 5, 11, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 487 a factor of 255207480?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 17093873 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 10749?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 1984090 or 1984091?\nAnswer: 1984091","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from akaaaaaqakaaqkakkaa. Give prob of sequence qkkq.\nAnswer: 5\/11628","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in 12, -0.4, -2, 6692, -0.5, 3, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: (-186)\/(-5)*(1786\/(-2679))\/((-3)\/(90\/8))\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 8848*l**3 + 3*l**2 - l - 471 wrt l?\nAnswer: 53088","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*o - d - 4 = -0*o, 4*o = -d + 10. Suppose 0 = 4*z - 4*g + 108, 3*z + 0*g + 77 = o*g. Let k = -9 - z. Calculate the remainder when 67 is divided by k.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 0\/(-2)*(22 + -23). Let q = y + -4. Let v be 45*q\/24*-2. Solve -p - 4*p = -v for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -66 - 26. Let o = r + 96. Let i = -45 - -66. Solve 9 - i = -o*y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*n - 6*i = -5*i + 7189, n - 3*i = -3598. Let z = n + 43205\/12. Find the common denominator of z and -99\/8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify a**(-2)\/a*a*a**(-8)*a**(-4\/5)*a**(3\/5)\/a*a*(a**7*a)\/a*a*a**0*a*a*a**(-1\/5)*a*a*a**(-4)*a assuming a is positive.\nAnswer: a**(-7\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let w be -8 - (-2)\/(-1)*1*(-11)\/2. Solve 2*z + 4*s = 16, w*s - 21 = 3*z - 0 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 169, 161, 141, 103, 41, -51?\n\"Answer: -f**3 - f + 171","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 6233 + -4328. Suppose -3*x - l = -6*x. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 43812, 340432, 1145542, 2713386, 5298208?\nAnswer: 9154252","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o(m) = -2*m**3 - 4*m**2 - m + 2. What is the remainder when 43 is divided by o(-3)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -142 - -141.92. Which is the closest to 0?  (a) 4  (b) s  (c) 4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.3 in 4, 257, -2, -5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 3.92 - 3.82. What is the smallest value in -5, d, -0.2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 390 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-2)\/((11\/(-429))\/(1\/6)). Let g = w - 12. What is the highest common divisor of 95 and g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose m = -4*a + 1, 2*a + 3 = 3*m - 0. What is the highest common divisor of m and 11?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 0.2 + -0.1. Suppose 9 = 2*o - 1. Which is the second smallest value?  (a) o  (b) n  (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(j) = 18*j**2 + 162*j + 839. What is o(-7)?\nAnswer: 587","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.89 take away -31044801?\nAnswer: 31044800.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -3 and 0.05143?\nAnswer: -0.15429","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 801 and 6813.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 233640 and 8930?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-1 + -4 + sqrt(99) + sqrt(99)*-2*-5)*-1)**2.\nAnswer: -330*sqrt(11) + 12004","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:39 PM and 4:52 AM?\nAnswer: 373","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*u**2 + 2650*u - 351125 = 0.\nAnswer: 265","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 54 is divided by 35?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand -1 + 2*x + 1 + (5*x - 3*x + x)*(2 + 0 - 3) + (2 + 2 - 2)*(x - 5*x + 5*x).\nAnswer: x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-15)\/(-3)*(-2)\/(-15). Let p = -0.5 - -3.5. Let a be (5 + 72\/(-15))\/(8\/15). What is the nearest to 1\/3 in a, p, z?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-300)\/(-135) - 4\/18. Solve r + 9 = d*r + z, -2 = 2*r - 3*z for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {l: 6, w: 12, k: 1}. What is prob of picking 1 w, 1 l, and 1 k?\nAnswer: 24\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, -336, 4, -1, 12090, 1 in ascending order.\nAnswer: -336, -4, -1, 1, 4, 12090","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 37508, 38405, 39302, 40199, 41096, 41993?\nAnswer: 42890","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -127\/2 - -64. Let r(v) = v**2 + 4*v - 1. Let q be r(-6). Put -2, q, p in descending order.\nAnswer: q, p, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(x) = 4*x**2 + 227*x + 2401. Give h(-14).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in ninety-three quarters of a litre?\nAnswer: 23250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -7 - (-67 + 8 + (12 + -14 - -7))?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -2*q + 3*b - 9, -5*q - 3*b + 9 = -21 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 84 and 924?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -398, -434, -474, -518?\nAnswer: -566","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 637\/12 + -53. What is the closest to -2 in -2, d, -4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:13 PM and 5:12 AM?\nAnswer: 539","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 43 - 41. Suppose w + 5 = -v - 0*w, 0 = -v - c*w - 10. Let o = 0 + 5. Solve 5*k + 5 = v, -2 = -2*b - o*k - 1 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -565 (base 7) to base 5.\nAnswer: -2132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v**(-1\/2)*v*v**(-2\/11)\/v)\/(v\/(v\/v**(3\/7)))**(-6\/25) assuming v is positive.\nAnswer: v**(-2229\/3850)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from lulu. What is prob of picking 1 u and 1 l?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 1.0395 - 1.2678. Is -2 bigger than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*b - 12, -2*m - 12 = -3*b - 2*b. Let q(l) be the second derivative of 0 - l**2 + 0*l**3 - 4*l - 1\/3*l**m. Find the first derivative of q(k) wrt k.\nAnswer: -8*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 4861 is divided by 608.\nAnswer: 605","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 1*((-80)\/6)\/(-20). Let q = -12 + 42. Put q, 0.1, t in descending order.\nAnswer: q, t, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1 + 2 + (-2 - 4)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -12\/2012675 and -9\/64925?\nAnswer: 2012675","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let d(i) be the first derivative of -i**5\/30 - i**4\/12 + 4*i**3\/3 + 1. Let y(v) be the third derivative of d(v). Let p(k) = 9*k + 5. Determine 3*p(r) + 7*y(r).\nAnswer: -r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 11222*l + 4575 wrt l.\nAnswer: 11222","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -254 and 215?\nAnswer: -54610","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15*k - 47 = 17053. What are the prime factors of k?\nAnswer: 2, 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 6 in -2, 6, 7.03?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Product of 303 and 0.5.\nAnswer: 151.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 41\/674410 and -97\/10.\nAnswer: 674410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1992 + 320*s - 1001 - 991.\nAnswer: 320*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let v(i) = -i**2 + 6*i + 12. Let z be v(11). Is -43 at most z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 34, 92, 184, 316, 494, 724?\nAnswer: 1012","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 7\/4 of a micrometer in nanometers?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3 = d - 2*j + 4*j, -d + 4*j - 9 = 0 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let -2*o**5\/7 - 346*o**4\/7 - 1462*o**3 + 179194*o**2\/7 - 89916*o = 0. Calculate o.\nAnswer: -127, -59, 0, 6, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 253476469*h**5 + 43377738*h wrt h.\nAnswer: 5069529380*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Determine z, given that z**3\/2 - 54*z**2 + 210*z - 208 = 0.\nAnswer: 2, 104","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Express -5*y**2 + 5*y**2 + 6*y**3 + (1 + 2 - 5)*(5 - 3 - 3)*(-8*y**3 + 93*y**3 + 140*y**3) in the form n + l*y + u*y**2 + m*y**3 and give m.\nAnswer: 456","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 14 + -29. Let d be (-24)\/y*40\/16. What is the second derivative of 2*k**d - k**4 - 3*k + 3*k**4 + 6*k wrt k?\nAnswer: 48*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(z) = -z**2 + 7*z - 4. Let s(m) = -51*m + 5*m**2 + 16*m + 17 + 3. Let w(v) = 11*j(v) + 2*s(v). Is w(5) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 519 * -1.1715.\nAnswer: -608.0085","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15*v = 4*v - 1482. Let l(p) = 2*p**2 - 5. What is the remainder when v is divided by l(4)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2380.\nAnswer: 2, 5, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 5 + -11. Let f = s + 4. Let d(o) = -2*o + 3. Let n(p) be the first derivative of 5*p**2 - 16*p - 1. What is f*n(q) - 11*d(q)?\nAnswer: 2*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose q + 4 + 0 = o, -3*o - 5*q = -12. Let a(s) = 3*s + o*s - 7*s - s - 5. Give a(-4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -50 - -30. What are the prime factors of 1\/1*n\/(-1)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2041887707 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*b + 5*b + 3*f - 48, 0 = -4*b + 3*f + 50. Suppose -s = -3*s + b. What is the least common multiple of 1 and s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(t) = t**3 - 12*t**2 - 16*t + 4. What is s(0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 803171*h*l**3 + 2*h*l**2 - 69*h - 8*l**2 + 10*l wrt l.\nAnswer: 4819026*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let h(w) = -32 + 1 - 5*w - 31 - 2. Suppose r - 15 = 4*r, -m = 4*r - 107. What is the remainder when m is divided by h(-18)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -2.58900378 - 156.37014322. Let q = 46.959033 + v. Let m = 112 + q. Round m to five dps.\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 - 2 - 4*f)*(-4 + 6 + 0)*(19*f**2 - 44*f**3 - 19*f**2) + (1 - 2*f**2 - 1)*(-f**2 + 2 - 2).\nAnswer: 354*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (8\/6)\/(7\/273). Suppose -z = -4*b - 5*n, 3*b - 7*b + 5*n + 52 = 0. What are the prime factors of b?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 6.68 - 13.68. What is the closest to 2 in 0.2, g, -2\/9?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 1\/4  (b) 0.5  (c) -1.08  (d) 0.7  (e) 2  (f) 2.98  (g) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let w(i) = i - 8. Let c = 11 + -4. What is w(c)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*k - 4*t + 5 = 0, -4*t = -k - 5 - 4. Let u be 38\/(-76)*(-2)\/(-241). Do u and k have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let l = 1\/4041 + 16159\/20205. Are l and -4\/95 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 5 - 41. Let k = a + 73. What is the tens digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -111*w - 10325 - 15055 = -675*w for w.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -628*s + 628*s + 72*s**2 + 3 - 3 + s**2 + (-2 + 2 + 2*s)*(2*s - 1 + 1) - 1 + 1 + s**2 + s**2 - s**2 + 2*s**2 to x*s**2 + j + o*s and give x.\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 896.2 times 0.01?\nAnswer: 8.962","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -1.94 + -0.06. Let n = -5 + 6. Suppose -2 = -3*m + n. What is the nearest to m in -1, o, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (7 - 3)*-1 + 1. Let w be (-2)\/i + 1088\/51. Suppose -2*d - w = -36. What is the remainder when 9 is divided by d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*x + 4*s + 526, x + 9*s - 172 = 7*s. Let q = x + -83. Does 30 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -226*h + 226*h - 2 - 181*h**2 + 194*h**2.\nAnswer: 13*h**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -4 + -27513354?\nAnswer: -27513360","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -220377*j*x**2*z - 101*j + 1675*x**2 + 149*x*z wrt j?\nAnswer: -220377*x**2*z - 101","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 0.03 + -0.03. Let m = 2.9 - 1.7. Let s = 1.8 + m. Which is the nearest to h?  (a) 4\/5  (b) -4  (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 177800000 rounded to the nearest 1000000?\nAnswer: 178000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Does 261 divide 170694?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let w(t) = 6*t**2 - 3*t - 2. Let z(s) = -s**2 + s. Suppose -5*l + 2*l + q + 2 = 0, -2*q - 10 = 0. Determine l*w(g) - 5*z(g).\nAnswer: -g**2 - 2*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 b and 1 m when two letters picked without replacement from bknbbomyoyy.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-2*sqrt(187)*-2 + (sqrt(187) - sqrt(187)*3*-1))\/((sqrt(1331) - (sqrt(1331) - -6*sqrt(1331)*2))*-3))**2*1.\nAnswer: 68\/9801","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -590, -685, -844, -1067, -1354, -1705?\nAnswer: -2120","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Round 455519.84 to the nearest one hundred thousand.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 20 = c - 48. Let x = c - 79. Let v be (-65)\/55 - ((-20)\/x + -2). Which is smaller: -3\/26 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4 - 2*t + 4)*((3*t + 5*t - 5*t)*(t - 5*t + 5*t) + (t**2 - 3*t + 3*t)*(1 + 1 - 3)).\nAnswer: -4*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4276*y + 4221*y + 48*y.\nAnswer: -7*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 63 and 0.05297?\nAnswer: 62.94703","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -220014660, -220014669, -220014682, -220014699, -220014720, -220014745, -220014774?\n\"Answer: -2*v**2 - 3*v - 220014655","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Add 414 and -0.024.\nAnswer: 413.976","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -u**3\/3 + 236*u**2 + u\/3 - 236 = 0 for u.\nAnswer: -1, 1, 708","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -4 - 94?\nAnswer: -98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 7 + -1 + -4 + (-8 - -10)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k(q) = 32*q - 358. Give k(11).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 2*g*j**3 - 6*g*j - g + 524*j**5 + 7 wrt j?\nAnswer: 12*g*j + 10480*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let s(o) be the first derivative of 4*o**3\/3 - 421. Let q(k) = 78*k**2. Give q(s(g)).\nAnswer: 1248*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 1*3\/63*-2?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g(y) = y**3 - 5*y**2 - 5*y - 4. Let b be g(6). Let p(w) = 0*w**2 + 4*w**b - 2*w**2. Let f(u) = 4494*u - 2243*u - 2252*u. Give p(f(q)).\nAnswer: 2*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {x: 3, c: 4, n: 1}. Give prob of picking 1 n and 2 c.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 689 - -202. Suppose o = 3*z - 564. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 27744372 and 225564?\nAnswer: 27744372","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1 - (-31 + -5 + 5).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -2\/15  (b) -0.4  (c) 0.18  (d) -120  (e) 18\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 8.088498 years in months?\nAnswer: 97.061976","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 169590150 and 67836060.\nAnswer: 339180300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 151\/6 and 16\/27.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 1865206 and 12138.\nAnswer: 5595618","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -6.1 and 0.269814?\nAnswer: -1.6458654","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let h(z) = z - 6. Suppose -5 = -5*w, -w - 1 = p - 2*p. Let c(u) = -u + 3. Let m be c(-3). Let g(d) = 2. Let s(k) = m*g(k) + p*h(k). What is s(-5)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 540869565?\nAnswer: 3, 5, 36057971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*m - 4*m - 2*y - 79, m + 3*y = 89. What is the remainder when m is divided by 75?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine l, given that -4*l**2 + 1102984*l + 119168928 = 0.\nAnswer: -108, 275854","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -13*v - 6 = -188. Let y be (-4)\/v - 660\/140. Let l(o) = -11*o + 5. Let i(x) = 10*x - 4. Calculate y*l(t) - 6*i(t).\nAnswer: -5*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"}
{"text":"Question: Find b, given that b**2\/3 - 215080*b\/3 - 143388 = 0.\nAnswer: -2, 215082","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 33 - 29. Suppose d*k = 112 - 32. What is the tens digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5 a factor of 861015?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2558098?\nAnswer: 2, 53, 24133","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -72*o**4*u + 1347*o**4 - 287260*u + 3 wrt o.\nAnswer: -288*o**3*u + 5388*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose j - 5*m = -23, 0 = 5*j - m + 4*m + 3. What is the hundreds digit of ((-6)\/4)\/((-307)\/102 - j)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -75*b**2 - 89 + 18*b**3 + 77 - 29*b + 113*b.\nAnswer: 3*(b - 2)**2*(6*b - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 17466579.15 rounded to the nearest one thousand?\nAnswer: 17467000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -k = -3 + 1. Suppose -18 = -2*u - 3*c, k*u + 18 = 4*u + c. Suppose -2*p - 3*v = -3*p + u, 39 = 2*p + v. Is p a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0*v - 182 + 182 - 5*v + 9*v.\nAnswer: 4*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 68045541953 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 0.2836 - 0.20413. Let u = -0.08 + d. Round u to four dps.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((s*s\/s**(-2\/11)*s)\/s**3)\/((s*s**0)\/(s\/(s\/(s*s**(-4\/9))*s*s*s))) assuming s is positive.\nAnswer: s**(-323\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: 23002 (base 4) to base 12\nAnswer: 4aa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000004192 rounded to six decimal places?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -14605767 divided by 18189.\nAnswer: -803","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10*d = 8*d. Suppose -10*k + 6*k = 5*u + 3, -2*k + u + 9 = d. Solve -4*b = -5 - k for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 4*l + 7*m - 20*m + 237, l + 5*m + 89 = 10*m for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 738780519 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Convert 146 (base 7) to base 11.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort -24, -4, -2, 0.3, 1\/4, -37 in ascending order.\nAnswer: -37, -24, -4, -2, 1\/4, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Round 77980000 to the nearest 1000000.\nAnswer: 78000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let t(f) = -f**3 - 7*f**2 - 4*f + 14. Let o = -73 + 64. Let i = -15 - o. Let u be t(i). Solve 4*a - u*s = a + 3, 5*a - 5 = -3*s for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-2)\/(-10) - (-19)\/5. Suppose 961 = 33*x + 4129. Let b = -95 - x. Put 5, -5, c, b in increasing order.\nAnswer: -5, b, c, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 31198974?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -857, -3060, -5265, -7472, -9681, -11892?\nAnswer: -14105","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1178345?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -12376 + 31450. What are the prime factors of l?\nAnswer: 2, 3, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3*sqrt(700) + 1 + sqrt(42)\/sqrt(6).\nAnswer: -29*sqrt(7) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 8563, 9492, 12015, 16930, 25035, 37128?\n\"Answer: 133*s**3 - s**2 + s + 8430","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m(o) be the third derivative of -o**7\/105 - 1499*o**6\/120 + 136*o**3\/3 + 516*o**2. Find the first derivative of m(q) wrt q.\nAnswer: -8*q**3 - 4497*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x**(-2\/11)\/((x**(2\/7)\/x)\/x))**(-48)\/((x**(-1\/2))**(-32)*x*x**(1\/8)*x**(-1\/3)) assuming x is positive.\nAnswer: x**(-166967\/1848)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*h + 17 = 2*s, s + 5*h - 8 = 4*h. Suppose -s*z = -9*z + 10. Suppose -z*p + 8*p - 51 = 0. Solve 0*q = -5*u - 2*q - 10, 0 = 2*u + 5*q - p for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.072 and 20.4.\nAnswer: -1.4688","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -1218691675869895\/12404 - -98249893305. Let k = n + -1\/3101. Let j = -1535\/28 + k. Which is the closest to -22?  (a) -1  (b) j  (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 226 + -218. Calculate the remainder when 35 is divided by 8\/(-14) + (-55)\/(-35)*k.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -r**2 + 0 + 0 - r + 2*r**2 + 0*r**2 - r**2 + (2 - 2 + 2*r)*(56*r + 23*r + 5*r) - 4*r**2 - r**2 + 2*r**2.\nAnswer: 165*r**2 - r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: ((-2280)\/(-96) + -24)\/(-2 + (-6)\/(-4))\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1 = -3*t - 4. Let i(h) = 14*h**2 + 3 + 2 - h**2 - 6. What is the units digit of i(t)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 358434 is divided by 95.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*v**3\/7 - 87*v**2\/7 - 474*v\/7 + 1320\/7.\nAnswer: -3*(v - 2)*(v + 11)*(v + 20)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 75274571 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 156*q + 11208 = 135*q - 446*q for q.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence yyzz when four letters picked without replacement from {l: 1, y: 11, z: 6}?\nAnswer: 55\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 28 divided by 841.\nAnswer: 28\/841","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -80*l - 10980 = 115*l - 439*l. Let s(b) = 4*b**2 - 1. Let q be s(2). What is the highest common factor of q and l?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -7, 34, 13, 3, -12, -5, -3 in decreasing order.\nAnswer: 34, 13, 3, -3, -5, -7, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 61248*i**3 - 2*i**2 + 15*i - 110088 wrt i.\nAnswer: 367488*i - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (10 + -9)*(-6)\/912. Which is bigger: a or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 262851829 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 0.07, 87\/56, 3\/2, -0.3?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Put -255, -0.1, 0, 8956 in descending order.\nAnswer: 8956, 0, -0.1, -255","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 6*(8 + 583\/(-66)). Suppose 3 = -2*i + h, 5*h = i - 0*h + 15. Sort i, 4, 2, v in decreasing order.\nAnswer: 4, 2, i, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((-1*sqrt(360) - sqrt(360) - sqrt(360))\/sqrt(9)*2)\/((sqrt(72)*2 + sqrt(8))*-1))**2.\nAnswer: 180\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 663 and 689.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 200884 is divided by 18173?\nAnswer: 981","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 11028494431 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 - 1 + 1)*(a**3 - 3*a**3 + 5*a**3).\nAnswer: -6*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -815 - -815.2. Put 0.6, z, -0.5, 1 in increasing order.\nAnswer: -0.5, z, 0.6, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 26617\/19 - 1401. Let n = 0.1 + -0.1. Let t = -6 - -1. Which is the nearest to n?  (a) l  (b) -0.4  (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(n) be the first derivative of n**4\/4 - 10*n**3\/3 + 8*n**2 + 5*n + 12. Let i be v(8). Solve -l - 2 = -3*m + 3, -3*l - 15 = i*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3*l - l + 27 - 265*l**2 - 27.\nAnswer: -265*l**2 + 2*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 2549142 divided by 2?\nAnswer: 1274571","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*b + 662 = 222. Calculate the remainder when b is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(y) = 1. Let g(d) = 2*d**2 - 6*d + 10. Let a(k) = -g(k) + 10*z(k). Find the second derivative of a(n) wrt n.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -c**5 - 493*c**4 + 9*c**2 - 3*c wrt c.\nAnswer: -60*c**2 - 11832*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Convert 455.4935 weeks to seconds.\nAnswer: 275482468.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: 4 - ((-14 - (-14 - -10)) + 1)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:41 PM and 2:11 AM?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -366*p - 221 wrt p.\nAnswer: -366","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 674443 and 275.\nAnswer: 16861075","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 2156?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 3473821?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, -17717, -14, -30.\nAnswer: -17717, -30, -14, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -1a - 2?\nAnswer: -1c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {p: 2, c: 7, l: 5}. Give prob of picking 1 l and 1 c.\nAnswer: 5\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let u(z) = -2*z**2 + 3*z. Suppose -d = -6*d + 10. Calculate u(d).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.3830731 rounded to 3 dps?\nAnswer: 0.383","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 171624 and 282.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {x: 7}. Give prob of sequence xx.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 4\/23?  (a) 3  (b) 1\/11  (c) 0.255  (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (14\/77)\/(15\/(-5940))?\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Does 23 divide 409377?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -7.99 - 7.17. Let h = 0.16 + f. Let s = 15.0000082 + h. Round s to 6 decimal places.\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find k such that -k**5\/2 + 150*k**4 + 1823*k**3\/2 + 1983*k**2 + 1834*k + 612 = 0.\nAnswer: -2, -1, 306","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-10)\/8 + 184\/96. Which is the second smallest value?  (a) -2\/51  (b) g  (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -6763, -26303, -58867, -104461, -163091?\n\"Answer: -j**3 - 6506*j**2 - 15*j - 241","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 0 + 3 - (0 + 1). Suppose -y = -u*f - 40, -f + 4*f = 5*y - 67. What are the prime factors of (-2 - f\/3)*3?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -230*k - 479326 = -479786. Let l(h) = -h**3 - 4*h**2. Let z be l(-4). Solve 2 = -z*x - x + 2*t, x + 2 = -k*t for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 111 - -252160?\nAnswer: 252271","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -53, -56, -51, -32, 7, 72, 169, 304?\nAnswer: 483","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 28\/(-96)*(-14560)\/(-12740)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 1.8 + 36.2. Let j = -15 + 18. Which is the biggest value?  (a) k  (b) -2  (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -101 + 105. Sort a, 3\/8, -1\/3.\nAnswer: -1\/3, 3\/8, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*l + 5*i + 617 = 0, -5*i = 4*l + 532 + 289. Let g = -173 - l. Calculate the smallest common multiple of g and 6.\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 176159296 to the power of 1\/4, to the nearest integer?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 15*r - 9*r = 18 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-76109)\/(-12210) - (-136)\/(-40). What is z in 1\/6*z**2 - s*z + 0 = 0?\nAnswer: 0, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*t + 19 + 125 = 0. Let w = t - -82. Suppose -5*p - w = -6*p. Does 17 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 m when three letters picked without replacement from {n: 5, m: 7}?\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 2 + (16 - -1) + (-1 - -1). Suppose i*h - 3115 = 742. What is the remainder when 84 is divided by h\/7 + 0\/1?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from jjmmyooioytymtmt. Give prob of picking 1 i and 1 j.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 260 and 650.\nAnswer: 1300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 divided by -29?\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 1\/3  (b) -0.2  (c) -109  (d) -2\/11  (e) -2\/13  (f) -5\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 77 + -55. Let k = v - 13. What is the least common multiple of 7 and k?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2\/9, -11, 0.3, -4, -5, 12\/5.\nAnswer: -11, -5, -4, -2\/9, 0.3, 12\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 1019924002.08000601 + -1019923995. Let j = u - 7.08. What is j rounded to 7 decimal places?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(s) = 7*s**2 - s + 2. Let h be u(-2). Suppose h = 3*m + 8. Calculate the greatest common divisor of m and 88.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -215 (base 7) to base 12.\nAnswer: -92","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 239*g + 274*g - 162*g + 95*g.\nAnswer: 446*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -41 + -23. Let t = 61 + f. Which is the nearest to 1\/4?  (a) t  (b) 2  (c) -0.23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*o - 12583 = 39798 + 4009. What are the prime factors of o?\nAnswer: 2, 5639","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 minus -3950668121?\nAnswer: 3950668122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(2420)*-1 + sqrt(2420))\/sqrt(10) - (2 + sqrt(72) + -1).\nAnswer: -6*sqrt(2) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let d(r) = r**2 - 17*r - 11. Calculate d(18).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.1043977 kilograms to micrograms.\nAnswer: 104397700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Divide 144213342 by 264127.\nAnswer: 546","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -555\/1471?  (a) -3\/7  (b) 0  (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 69*k - 87*k + 648. Solve k*w = 34*w + 2 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 321 is divided by 157.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -353  (b) -5\/6  (c) -18\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 706 a factor of 427130?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 52*k + 189 = 293 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*sqrt(209))\/sqrt(11) - (-4 + 1 + sqrt(19) + sqrt(19)) - (-1*(sqrt(38)\/sqrt(2) + -3))**2.\nAnswer: -25 + 3*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((o**0)**(-5)\/(o**(-14)\/(o*o**(-3\/14))))**(26\/9) assuming o is positive.\nAnswer: o**(299\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth smallest value in -1, -0.4, 0, 902, -1\/3, 1?\nAnswer: 902","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -8 - 287 = -59*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -5\/103892321 or -1?\nAnswer: -5\/103892321","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 91277 to the power of 1\/6, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (0 + -2)\/(-1) + 15. What is the smallest common multiple of 3 + h\/(-3 + 4) and 2?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -12 - -19. Suppose 2*c + n*x = 3*x + 28, c = -3*x + 16. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 29815463 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is r in 2*r**3\/11 - 184*r**2\/11 + 1640*r\/11 = 0?\nAnswer: 0, 10, 82","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -79.53 + 79. Let p = -161 + 160.67. Let x = p - r. Which is bigger: 9\/4 or x?\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(p) = 5*p**2 + 18*p - 119. Let h(x) = 3*x**2 + 10*x - 60. Determine 4*a(o) - 7*h(o).\nAnswer: -o**2 + 2*o - 56","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 1193*h**2 - 668?\nAnswer: 2386*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(125) + 0 - sqrt(125))*-5)**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (20\/120)\/(12\/(-24)).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -275 + 243. Let x(n) = 4*n - 5. Let a be x(-7). Is a smaller than t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-7 - (4 - -5)) + 7?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 13676083 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-55)\/(-825))\/(1*(-2)\/6).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-x + x + x**2)*(6*x**2 - 3*x**2 + x**2) + 6*x**4 - 3*x**4 - 2*x**4 + (2*x - 3*x + 0*x)*(-x**3 + 0*x**3 + 0*x**3).\nAnswer: 6*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 21.78 + -21. Let z = v - 0.58. Which is the second biggest value?  (a) z  (b) 0.3  (c) 0.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(r) = r**3 + 2*r**2. Let v be s(-3). Let a = -1 - v. What is the units digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {x: 1, v: 5, t: 8, p: 2, g: 1}. Give prob of sequence txvg.\nAnswer: 1\/1428","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = j + 2*j - 6. Suppose -4*z - j*f = -12, 3*f + 0 = -z + 3. Find the first derivative of -2 + 53*i**2 + z*i**3 - 53*i**2 wrt i.\nAnswer: 9*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(k) = 2731*k**2 + 2734*k**2 - 5456*k**2. Let l(i) = 9*i + 4. What is z(l(b))?\nAnswer: 729*b**2 + 648*b + 144","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 482 minutes after 11:41 AM?\nAnswer: 7:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -33 + 448. Suppose 3*o + 4*v + s = 4*o, 5*o = -4*v + 2147. What are the prime factors of o?\nAnswer: 7, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -50*r**2\/3 - 23107910*r\/3 - 5339755045681\/6 = 0. Calculate r.\nAnswer: -2310791\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1563*z - 1553*z = -6597900. What is z rounded to the nearest ten thousand?\nAnswer: -660000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (10\/(-15))\/(((-1)\/24)\/((-6)\/8))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(x) = -4*x**2 - 204*x - 1635. Calculate the lowest common multiple of n(-10) and 17296.\nAnswer: 86480","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1\/3?  (a) -78.2  (b) -24  (c) 6  (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let p be ((-16)\/(-10))\/(18\/135). Let z(c) = c + 8. Let s be z(3). Which is greater: s or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express o**3 + o**2 + 2*o + 10*o - 6*o + o**4 + 43*o**4 + 1 + 12*o**4 as g*o**3 + i + q*o**4 + n*o**2 + a*o and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 3*(-4 + 1 + 24). Differentiate 63*z + 2*z**3 - 8 - i*z wrt z.\nAnswer: 6*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(q) = 10*q - 7*q + 7*q - q**2 + 1. Let c be i(6). Let j be (18\/(-10)*(-40)\/84)\/((-3)\/(-7)). Solve -3*n - 1 = -j*h - 6, c = 5*h for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(a) = -a**3 + 26*a**2 - 51*a - 15. What is the units digit of q(23)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -16, -30, -46, -64, -84?\n\"Answer: -v**2 - 11*v - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (6\/9)\/((-72)\/(-324)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -5479.2 and 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 603048.\nAnswer: 2, 3, 25127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 4 + 24*q - 3 + 239*q + 1 + 8*q - 1341*q**2 wrt q.\nAnswer: -2682","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 105 and 87498579.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 260 is divided by 36.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is -162271 <= 70?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 + 0 + 2)*(2*s**3 - s**3 + 2*s**3 + (0*s - s + 0*s)*(0*s**2 - 3*s**2 - 14*s**2) - s**2 + 2*s**3 + s**2 + 9*s**3 + 17*s**3 + 10*s**3)*(1 + 2 - 1).\nAnswer: -116*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let m(y) = 1 - 34*y**2 - 3*y**3 + 33*y**2 - 3*y**3. Give m(-1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 57, 214, 467, 810, 1237, 1742, 2319, 2962?\nAnswer: 3665","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 34556, 34563, 34574, 34589, 34608, 34631, 34658?\n\"Answer: 2*l**2 + l + 34553","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -4, -5, -2, 5, 16, 31, 50?\nAnswer: 73","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 91 a factor of 21140028?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 182 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence fd when two letters picked without replacement from dddsfssdddfs?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(7) - (sqrt(1372))**2) + sqrt(7) + 3 + (sqrt(7)*3)**2 - (sqrt(378)\/(-2*sqrt(6)))\/(sqrt(45)\/(sqrt(15)\/sqrt(3))).\nAnswer: -1306 + 5*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -19*x**2 + 2 - 8*x**2 - 2.\nAnswer: -27*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -3302736, -3302734, -3302732, -3302730, -3302728, -3302726?\n\"Answer: 2*u - 3302738","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-20)\/(-36))\/(90\/1140480*330).\nAnswer: 64\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 0\/((-1 - 1) + 0). Let q be (r + -1 + 2)*0. Suppose -3*f - 15 = -q*f, u - 2*f = 93. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(b) = -b**3 - 33*b**2 - 36*b - 68. Let w be i(-32). Calculate the highest common divisor of 10 and w.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1 + 0 + 229493*m - 48637*m + 5*m**2.\nAnswer: 5*m**2 + 180856*m + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let t be -2 + (-3 - (-19 + 2)). Let q be 13\/3 - (-8)\/t. Suppose 4*u = 5*r + 2540, -q*u + 3*r = -4*u - 628. Round u to the nearest one hundred.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -23*y - 8107 = -8153 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 371 and 2484269.\nAnswer: 17389883","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -80 divided by 2.\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*u + 25 = 5*j, -2*j - 3*j - 4003 + 4028 = -3*u for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 3267561229 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 8\/(-12)*((-5170)\/(-242) + -20)?\nAnswer: -10\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -11 (base 13) in base 12?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: (-1 - (2 - 4))*5\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 21 + -14. Let x = 2.1888 + -0.1888. What is the nearest to x in 0.1, 4, g, -2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*j - 7 = 4*l, -25 = -4*l + 5*j + 8. Suppose d = a, -d + 4 - 1 = l*a. Solve d = -c - 3 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -9 + 5 + -5 + 5 + 0\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 121206 - 121144.381. Round w to the nearest integer.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 v and 2 t when four letters picked without replacement from vvvvtvtvvtv.\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 272 is divided by 92.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 11\/(22\/(-6)) - 21\/22 and ((-35)\/30)\/(22\/(-18)).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (8399\/(-148))\/((-1)\/20). Which is smaller: 1134 or l?\nAnswer: 1134","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-78441)\/1188 + 68 + -2?\nAnswer: -1\/36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 1596417 or 3192833\/2?\nAnswer: 1596417","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: 5 (base 11) to base 14\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -421 + 167. Let i = h - -6859\/27. Let x be 0 + (-16)\/(-28) + (-3 - (-192)\/56). Which is smaller: i or x?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 51\/11 and -36\/25.\nAnswer: 275","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (16 - 0) + 4 - 10 - 31?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s(v) be the second derivative of 3*v**5\/20 + 403*v**4\/4 + 39991*v**3\/2 - 370881*v**2\/2 + 1847*v + 1. Factor s(c).\nAnswer: 3*(c - 3)*(c + 203)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 15, 31, 45, 51, 43, 15?\n\"Answer: -q**3 + 5*q**2 + 8*q + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:12 PM and 8:57 PM?\nAnswer: 405","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2\/11?  (a) -2  (b) 71  (c) -3\/7  (d) -2\/31\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 8 + -4. Let d(f) = -2 + 6*f - 2*f - k*f + 5*f. What is the units digit of d(2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -41341935*o**4 + 2465947*o**2 - 19*o wrt o.\nAnswer: -992206440*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Round 143.4 to the nearest 10.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let n(h) = -h**3 - 6*h**2 + 2*h - 3. What is n(-5)?\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 975 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4 + (-13 - (-5 + -9)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from kkggkkkbblkwb. Give prob of picking 1 w, 1 l, and 1 k.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 61444?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let f(g) = -10*g - 20. Does 6 divide f(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -311287 * -0.01.\nAnswer: 3112.87","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Convert 16151.442 months to centuries.\nAnswer: 13.459535","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 1708015 to the power of 1\/3, to the nearest integer?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let b(f) = 2*f**2 - 8*f - 18. What is the hundreds digit of b(12)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 72 + 3 = 3*l. Let u = 786 + -780. Solve -u*z = -z - l for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence fy when two letters picked without replacement from yfsywkk?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*o = 3*o + 45. Which is smaller: o or -2?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*u = -3*g - 2166, 0 = 4755*u - 4760*u - 4*g + 2152. Calculate the remainder when 873 is divided by u.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 50558 less than 16616.24?\nAnswer: -33941.76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from uvuvvuuvwmvcuuuwuu. Give prob of sequence mvv.\nAnswer: 5\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -59*c - 293 = -60*c. Suppose 2*q = -q - 4*o + 212, 5*o = 4*q - c. Calculate the remainder when q is divided by 20.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 35 - 103\/3. Let m(b) = -b**2 - 9*b - 6. Let z be m(-8). Which is bigger: r or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve u - 12 + 35 = 5*z, 6*u - 40*z = 34*z - 75*z - 14 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is -3 (base 16) in base 15?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert -4 (base 10) to base 7.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is seven eighths of a week in hours?\nAnswer: 147","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-1)\/(-3)*18\/2. Suppose -2*r + 4*r = 5*l - 32, -2*l - 2*r = -10. Suppose -j + x*j - l = 0. What are the prime factors of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 1 * -257.\nAnswer: -257","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence vb when two letters picked without replacement from {b: 1, w: 2, v: 3, g: 1}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 21 = 4*r - 43. Let f be 6\/r*-5 - -2. Let q = -3 - -3. What is the second smallest value in q, 2\/15, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -124 divided by -128518.\nAnswer: 62\/64259","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-1 - 22) + (7 - (-12 + 32 + -11)).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1\/4?  (a) 1\/126218  (b) -3  (c) 835  (d) 2  (e) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -11 - 202407?\nAnswer: -202420","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-43)\/(-129)*(0 - -885)*(-1)\/1. Sort -3, -2, s in increasing order.\nAnswer: s, -3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 14626?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let n(y) be the second derivative of -7*y + 0*y**2 - 2\/3*y**3 + 0. Let k(m) = -2*m + 4. Let i(p) = -p + 1. Let w(v) = 4*i(v) - k(v). Determine w(n(d)).\nAnswer: 8*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 276 - 401. Let y = i - -222. What is the tens digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 9 + -4 + -13 + 9.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in -0.3, 1, 0.1, -177, -1\/4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 173025486 a multiple of 62?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*u - 81 = 6*u. What is the highest common divisor of 3 and u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, -122, -633.\nAnswer: -633, -122, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 477, 1725, 3749, 6549, 10125, 14477, 19605?\nAnswer: 25509","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 7*k**5 - 2*k**4 + 75*k**2 - 3 wrt k?\nAnswer: 420*k**2 - 48*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -1378, -2756, -4134, -5512, -6890?\nAnswer: -8268","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -3 in -1\/4, 8, 3, -3\/16, 4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -13*t + 451 + 277 = 0. Let p be (-16)\/t - (90\/(-7))\/3. Solve 6*o + 3*l + 9 = 3*o, -20 = p*l for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 59\/3075 and 62\/68265.\nAnswer: 341325","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is (20 - (-91 - -16)) + -5 + -11?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify b**(-1)*b**(-13)*b*b\/(b*b*b*b\/b**(3\/5))*b**(2\/15) assuming b is positive.\nAnswer: b**(-229\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let 0 - 6\/7*h**4 + 48\/7*h**2 - 6\/7*h**3 + 72\/7*h = 0. Calculate h.\nAnswer: -2, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.5798424 rounded to one decimal place?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*h - 35 - 19 = 0. Let x = 0.9 + 9.1. Let v = x - 9.7. Which is the smallest value?  (a) -1  (b) v  (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-f**2 + 2*f**2 + 0*f**2)*(-17 + 17 - 7*f)*(4 - 3 + 0) - 10*f**3 + 7*f**3 + 2*f**3 to r*f**3 + x*f + y*f**2 + n and give r.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-30)\/75 + (6\/(-8))\/(30\/(-16)). Which is the nearest to d?  (a) 1  (b) 5\/3  (c) -5\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*x - 4*x**2 - 6*x**2 - 2 + 8*x**2)*(-12 - 2*x + 10 + 7).\nAnswer: 4*x**3 - 18*x**2 + 24*x - 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let w(m) = 30*m**3 - 80*m**2 + 26*m. Let d(n) = 14*n**3 - 40*n**2 + 12*n. Let k(x) = -13*d(x) + 6*w(x). Factor k(v).\nAnswer: -2*v**2*(v - 20)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(o) = 102*o + 8*o**2 + 4 + 1 - 95*o + o**3. Determine j(-7).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 17 + -6?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 23949 is divided by 140?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let q(h) = -5*h + 7 - 2*h + 5*h + h. Let o be q(6). Let w(g) = -4*g + 2. Let u(c) = c**3 + c - 1. Let i(p) = o*w(p) + 2*u(p). Factor i(r).\nAnswer: 2*r*(r - 1)*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {k: 2, e: 1, s: 2, b: 1}. Give prob of sequence ekks.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let v(t) = 6*t**2 - 3*t - 5. Let a(r) = 3*r**2 - 2*r - 2. Give 5*a(j) - 2*v(j).\nAnswer: 3*j**2 - 4*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -19\/4 or 977?\nAnswer: -19\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 divided by 1164?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let x(n) = 264 + 11*n - 10*n - 263. Let m(f) = -11*f - 3. Give -m(l) - 4*x(l).\nAnswer: 7*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*h + 599925 = 3*d, 0 = 4*h - 5*d + 189762 + 290165. Is (-6)\/21 - h\/28 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(11) + 1 + -2 + 1)**2.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -16 + 20. Solve 5*z + 5 = -r*g - g, 5*z + 8 = -4*g for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0000061734 rounded to six dps?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 231 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, -56, 4, -2 in ascending order.\nAnswer: -56, -2, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {f: 18, o: 1}. What is prob of picking 3 f?\nAnswer: 16\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let j(c) = c**3 + 2*c**2 - c + 1. Let p be j(3). Let u = 81 - p. Calculate the greatest common divisor of u and 418.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 2, 0.5, -5, -48\/11?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((m*((m**(3\/2)*m)\/m)\/m*m)\/(m\/((((((m**(-1\/5)\/m*m*m)\/m*m)\/m)\/m*m)\/m)\/m)))**(-28) assuming m is positive.\nAnswer: m**(98\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 655 minutes after 11:28 AM?\nAnswer: 10:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from yivivn. Give prob of picking 2 i.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) 1  (b) -1.5  (c) -4  (d) 3  (e) -3\/10  (f) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 76522073 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 5528779 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, -60, 3\/4 in descending order.\nAnswer: 2, 3\/4, -60","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -0.3, 4, 2\/7, 1300?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Express t**2 - 3 + 3 + 6*t + (0*t + t - 3*t)*(-3 + t + 3) in the form c + b*t + j*t**2 and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*u + 5*r = 155, 4*u - 23 + 179 = 4*r. Let a = -16 - u. Suppose -q + 3*q - a = 0. Solve 26 = -5*k - 4*f, 0 = -4*k - 3*f + 2*f - q for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0314322 rounded to three decimal places?\nAnswer: -0.031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 360 a factor of 3703858858?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -0.3  (b) 45  (c) -4\/5  (d) -17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -5 + -36000416?\nAnswer: -36000424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 212614 - -110?\nAnswer: 213024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Sum -0.03 and 51160221763.38.\nAnswer: 51160221763.35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 3286333?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Are -80797156 and -80797156 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0000002281 to seven decimal places.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let v(m) = -3*m**2 + 55*m + 40. Let i be v(19). Suppose 17*j = -i*j - 7*j. Let 1\/3*a**2 - 1\/6*a**3 + j - 1\/6*a**4 + 0*a = 0. Calculate a.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 929029.2t to milligrams.\nAnswer: 929029200000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -234, -474, -714, -954?\nAnswer: -1194","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -159*h**2 - 365*h**2 - 775*h**2.\nAnswer: -1299*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 11*f + 28 - 138. Let q be (0 + -5)*4\/(-4). Solve f = q*s - 5 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 117998 to the nearest integer?\nAnswer: 344","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -26064 + -22?\nAnswer: -26116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 4, -0.4, -1622, 0.0461, -1\/5, 2\/13, 0.4?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Express 0*h**4 + 51661*h**2 - 51659*h**2 - 3*h**4 - 84*h + 4*h**3 as i*h + j*h**2 + r*h**4 + u*h**3 + m and give i.\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 348 - 26. Let b = z - 275. Which is bigger: 50 or b?\nAnswer: 50","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -348*j - 198*j - 6008 = 4366 for j.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-6 + 4 - 3*l**2 + 1)*(4 - 3 + 1).\nAnswer: -6*l**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -4  (b) 1\/3  (c) 3\/10  (d) -3  (e) -0.04  (f) 5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Express -11*m**3 + 7*m**3 + 16*m + 2*m**3 - 52*m as p + s*m + w*m**2 + v*m**3 and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let t(s) = -s - 8. Suppose 8 = -4*a - 5*k - 12, -10 = 2*a - k. Let w be t(a). Let l = -1337 - -1335. Sort -4, l, w in ascending order.\nAnswer: -4, w, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 589386641 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let s(u) = u**3 - 24*u**2 - 2*u + 44. Suppose 13*x = 95 + 217. Let p be s(x). Which is the nearest to p?  (a) 0.05  (b) -5  (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 62235*l*y + 2*l - 20966 wrt y?\nAnswer: 62235*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: 29\/(377\/(-78)) - -23\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -28*n**3 + 672580*n - 25075729?\nAnswer: -84*n**2 + 672580","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 273772*c*k**2 - 6*c*k + 61551*c wrt k.\nAnswer: 547544*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*v + 2*v = 10. Suppose -x - 3*n + 19 = -2*n, 0 = 2*x - 4*n - 26. What is the remainder when x is divided by v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 5?  (a) -1  (b) -7  (c) 0.04  (d) 0.1  (e) 0.9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let i(o) = -799*o. Let z(v) = v. Calculate z(i(n)).\nAnswer: -799*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let w(i) be the first derivative of -i**4\/4 + 4*i**3\/3 - 5*i**2\/2 + 3*i + 2. Suppose 0 = -0*h - 8*h + 24. Give w(h).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(s) = 127*s + 1546. What is the smallest common multiple of h(-12) and 811?\nAnswer: 17842","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.9 * -1.15.\nAnswer: 1.035","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Work out 33 * -334.\nAnswer: -11022","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1313*m = 21149 + 38552 - 11120 for m.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-4709)\/11543 - (-23)\/(1932\/36).\nAnswer: 2\/97","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -355*y - 12 = -351*y. What is the closest to y in 0, 4, 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 56740727 by -2.\nAnswer: -56740727\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Work out -143146 * 0.5.\nAnswer: -71573","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -833, -858, -853, -824, -777?\n\"Answer: -v**3 + 21*v**2 - 81*v - 772","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve a = -4*c - 160 + 16, -7*c + 2*c = -5*a + 205 for c.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -26703\/8 + 3348. Calculate the common denominator of -35\/52 and b.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 30.91217um to nanometers.\nAnswer: 30912.17","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 3*(5 + (7\/(-42))\/(6\/(-852))). Solve -30*p - 4 = u for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -3*-1.164944\nAnswer: 3.494832","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let t(j) = 45*j - 49. Let x(m) = -16*m + 16. Determine 3*t(q) + 8*x(q).\nAnswer: 7*q - 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -2, -3\/4, -14\/81, 0, 33, 2, -4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Divide -2 by 30.\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -43\/10 and -89\/112.\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -2 - 5*w + 1 + 0 + 2 wrt w.\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -13957\/2981 or -5?\nAnswer: -13957\/2981","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: (-12)\/(-2)*(-3302)\/574548\nAnswer: -1\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-22*s + 11*s + 20*s + (2*s - 3*s - s)*(2 - 3 - 1) - 2*s + s + 2*s)*(2*s**3 + 4*s**3 - 7*s**3)*(-2 + 4 - 4)*(-2 + 5 - 2).\nAnswer: 28*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 7061 - 14127 - 4628*s + 7066.\nAnswer: -4628*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 59.38477 millennia in centuries?\nAnswer: 593.8477","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -5*a + 2*o - 64, 0 = 925*a - 920*a + 4*o + 82 for a.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (707 - 196 - 78 + 434)*(-1 + 2 - 3)*(0*m - m + 4*m).\nAnswer: -5202*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 8466 and 27?\nAnswer: 76194","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let l(m) be the first derivative of -107*m - 21\/2*m**2 + 50. Differentiate l(p) with respect to p.\nAnswer: -21","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u\/(u*u**(-3))*u**(-3)*(u**(-1))**(-41))\/(u**(-2)*u*u**3)**(-1\/58) assuming u is positive.\nAnswer: u**(1190\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*w - 8. Let r be (-3479)\/(-858) - w\/(-4). Let z = -60\/13 + r. Which is bigger: -1 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 222658 is divided by 45.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 454244200?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let f(h) be the second derivative of -h**4\/12 - h**3 + 15*h**2\/2 - 25*h. Let a be f(-8). Let z = 92 + a. Is 12 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(c) = 2*c**3 + 5*c**2 - 5*c - 2. Determine q(-3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let p(i) = 3*i - 41. What is the remainder when 17 is divided by p(16)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-1)\/((-2)\/(-14)*-1). Let c(z) = 3*z**3 + 9*z - 2*z**3 - 485*z**2 + 1 + 477*z**2. Let a be c(n). Which is bigger: a or 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 0*n**3 - 2*n**3 + 3*n**3 - 3*n + (-1 - 3 + 2)*(2*n**3 - 2*n + 2*n) to the form w*n**3 + g*n + h*n**2 + a and give g.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:06 PM and 5:52 AM?\nAnswer: 406","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:43 PM and 7:46 PM?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let d(v) = 2*v**3 + 2*v**2 - v - 1. Let i be d(1). Solve 0 = -5*f + n - 28, 4*n = -i*f - 1 + 3 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-72)\/30*20\/(-8).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y(w) be the first derivative of 0*w**3 - 1\/2*w**4 - 1 + 2*w**2 - 2*w. Let f(d) = 2*d**3 - 3*d + 1. Suppose -a = 1 - 4. Calculate a*y(v) + 4*f(v).\nAnswer: 2*v**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the sixth smallest value?  (a) -16  (b) 16\/3  (c) 5  (d) -0.5  (e) -1\/286  (f) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -4.3 - -3.8. Let p be 2\/18 - (-3171)\/2079. Let f(t) = t**3 + 5*t**2 + 3*t - 4. Let u be f(-4). Which is the biggest value?  (a) p  (b) u  (c) m  (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 47319615 is divided by 3379969.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 4 a when four letters picked without replacement from ajaajaa.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 2  (b) 1.2  (c) 4  (d) -4943\/210\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Round -60466080 to the nearest 100000.\nAnswer: -60500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {h: 5, q: 1, y: 1, t: 4}. Give prob of picking 1 y and 1 t.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let k(y) = -y**2. Let f(l) = -3*l**2 - 5*l + 5. Let x(q) = -f(q) + 4*k(q). Let h(m) = 2*m**2 - 10*m + 10. Let u(z) = -3*h(z) - 5*x(z). Determine u(4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*w**2 - 72*w - 320.\nAnswer: -4*(w + 8)*(w + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 25867, 26002, 26137, 26272?\n\"Answer: 135*r + 25732","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 3 + (0 - 3\/1). Suppose -3 = -n - r. What is the units digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.3 - -13956.\nAnswer: 13955.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let n(c) = 13*c**3 + 17*c**2. Let v = 42 - 43. Let k(w) = w**3 + w**2. Let l(o) = v*n(o) - 2*k(o). What is the third derivative of l(t) wrt t?\nAnswer: -90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 276, 277, 278, 279, 280?\nAnswer: 281","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange n**2 + n**4 - n**2 + (-5*n**3 + 25*n**3 + 3*n**3)*(1555 - 1555 - 50*n) to v*n**4 + b*n + j*n**3 + f*n**2 + p and give v.\nAnswer: -1149","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"}
{"text":"Question: Solve 2*r**4\/15 + 26*r**3\/15 - 64*r**2\/5 - 2456*r\/15 - 448\/3 = 0 for r.\nAnswer: -14, -8, -1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*g = -2*w - 1077, 2*g + w - 187 = -617. Let f = g + 213. Put -1, 3, f in ascending order.\nAnswer: f, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1704 = -13*v - 28*v + 1786. Factor 0*b**v + 0*b + 0 + 1\/3*b**5 - b**4 + 2\/3*b**3.\nAnswer: b**3*(b - 2)*(b - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(t) = 5*t**2 + 8*t - 5. Let p(f) = 4*f**2 + 7*f - 4. Calculate -6*p(z) + 5*u(z).\nAnswer: z**2 - 2*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 20*(1 - 15\/12) - -3. Let u be ((-1)\/2 + r)*3040\/(-38). Calculate the greatest common factor of u and 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-92)\/(-92)*(3 + -2). Let v(a) = -10*a**3 - a**2. Give v(d).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*z - 10 = 5*w, 5*z + 0 = -2*w - 4. Solve -2 = -2*y - z for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-3*c - 2 + 2)*((3 + 3 - 4)*(5*c**2 - c**2 - 3*c**2) - 2202*c + 2202*c - 1859*c**2) as m*c + g + h*c**2 + n*c**3 and give n.\nAnswer: 5571","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is (-5 - -2 - -13) + (126 - 122)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w(h) be the third derivative of -h**5\/330 + 125*h**4\/66 - 83*h**3\/11 + 10239*h**2. What is k in w(k) = 0?\nAnswer: 1, 249","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -24114000 rounded to the nearest one hundred thousand?\nAnswer: -24100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (4\/6)\/((-10)\/(-90)). Let g be (-20)\/v*(-3)\/2. Suppose 0 = -5*i - 2*q + 8, -q + 12 = g*i + 2*q. Solve -z - 3 = -i*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(g) = g**2 + 9*g - 4. Let z be v(-10). Let o = -2 + z. Sort -4, -1, o.\nAnswer: -4, -1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -21877*h**2*t**5 + 247*h**2*t**2 + 1070*h**2*t + 2*h**2 - 19*h*t - 32*t wrt t.\nAnswer: -437540*h**2*t**3 + 494*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 4*36\/16 + 5. What is the units digit of 2\/(32\/1512)*72\/k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -0.062 - 21.438. Let o = a - -37.4. What is o rounded to zero dps?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 48942 + -48847. Let l = 23 - 61. Let o be 0\/1 - 0 - l. What is the greatest common divisor of o and d?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 5 + (3 - -6) + 2.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 10\/6*((-36)\/5)\/(-2). Suppose 0 = -4*x + v - 3 + 7, 4*v = 5*x + t. Which is the nearest to x?  (a) 0.1  (b) 5\/4  (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence rg when two letters picked without replacement from {r: 5, s: 5, g: 1}.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is -101000011101 (base 2) in base 4?\nAnswer: -220131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -h - h + 154 = 0. Calculate the common denominator of -75\/22 and h\/20*(-1 - -3).\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.01323 to three decimal places.\nAnswer: -0.013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-4)\/16 - (-699)\/12. Let n(d) = -t*d**3 - 12 + 2*d**2 + 59*d**3 + 4*d**2 - 10*d. Is n(-6) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve o + 37 - 26 = 2*w, 0 = -5*o + 9*w - 55 for o.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: 124 (base 8) to base 13\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 2 + -10. Let v = o + 0. Let x = 6 + v. Which is bigger: x or 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2\/5?  (a) -5  (b) -2\/35  (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 50 minutes before 10:02 AM?\nAnswer: 9:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Factor b**3 + 18101*b**2 - 6517150*b - 53295152.\nAnswer: (b - 361)*(b + 8)*(b + 18454)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y**1*y)**(1\/15)*y\/(y*y**5)*y*y\/(y*y**(2\/17)) assuming y is positive.\nAnswer: y**(-1016\/255)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 1.52 - 1.5. Let s = -0.18 - g. Let k = s - 0.6. What is k rounded to the nearest integer?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -28, -120, -278, -502, -792?\n\"Answer: -33*j**2 + 7*j - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o(t) = 23*t**2 - 11*t**2 - 14*t**2. Let p(k) = -141*k. Calculate p(o(j)).\nAnswer: 282*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let o(i) = 2*i. Let r(m) = 2. Let c(g) = g - 9. Let a(w) = -w - 2 - 5 - 3 + 0. Let b be a(-8). Let v(k) = b*c(k) - 9*r(k). What is v(o(n))?\nAnswer: -4*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*m**3 - m**3 + 0*m**3)*(179 + 302 - 103) - 1 + 1 + m**3.\nAnswer: 757*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.1 in 0.362, -4, 0.2, 6\/13, -1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-4 + 8 - 6)*-86. Suppose 5*l - f = -2*i, -4*l = -i + 10 + 50. Solve 72*g = i*g + 16 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5\/4*z**2 + 3\/2*z + 1\/4*z**3 + 0.\nAnswer: z*(z - 3)*(z - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 2159?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-33)\/(-22)*1)\/((-12)\/48).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y(i) = -38*i**2 - 2*i - 9. Let k be y(4). Let o = k + 3122\/5. Which is the third biggest value?  (a) -3  (b) 0.1  (c) o  (d) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(s) be the third derivative of -s**6\/120 - s**5\/30 + s**4\/24 - 7*s**3\/6 + 3*s**2. Let n be u(-3). What is the units digit of n\/4 + 5035\/76?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -5*d**2 + d**3 + 8*d**2 - 1 + 0 to the form w*d**3 + n*d**2 + h*d + p and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let t(s) = 5*s - 122. Let h be t(31). Solve 4*n = -h + 41 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 2070\/(-12)*1\/40*(-1200)\/(-900)\nAnswer: -23\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3 = 5*m - 13. Suppose a + 99 = m*a. Let q = a + -65. Is q a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(u) = u - 1. Let r(c) = 12*c - 9. Calculate 9*p(a) - r(a).\nAnswer: -3*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Put -1294, -23, -3 in increasing order.\nAnswer: -1294, -23, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -2 - -10ba?\nAnswer: 10b8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -119*k + 573 - 6 + 1218 for k.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let r(u) = 9*u - 321. Determine r(36).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -0.2 - -3.2. Let v = -36 - -22. Let l = v + 13.7. Which is smaller: g or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4236.\nAnswer: 2, 3, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 986, 8245, 27998, 66497, 129994, 224741?\nAnswer: 356990","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Put together -6 and -151.0331.\nAnswer: -157.0331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 21\/(-2)*(5 - 124\/24). Let t(s) = 2*s - 7. Let o be t(5). Factor 5\/4*v**4 + 9\/4*v**o + 0 + y*v**2 + 1\/4*v**5 + 1\/2*v.\nAnswer: v*(v + 1)**3*(v + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4076*s + 4068*s + 14448 = 0. What is the highest common divisor of s and 42?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -44.8 - -49. What is x rounded to zero dps?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-2 - -3)\/((-1)\/(-1)). Let g be w + (-2)\/(-5)*5. Suppose -g*x + x = 4*z - 94, -z - 3*x + 31 = 0. What is the units digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(s) = 8*s. Let v(l) = 7*l. Let z(i) = -5*b(i) + 6*v(i). Let y = -85 + 87. Let q(f) = -17*f + 41*f + 49*f**y - 24*f. Determine z(q(u)).\nAnswer: 98*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is -10002202212 (base 3) in base 6?\nAnswer: -1150422","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (876\/2044 - -1*1\/(-7))*-1. Put 1\/8, -3, o, -3\/2 in ascending order.\nAnswer: -3, -3\/2, o, 1\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -2\/5 or 18722261?\nAnswer: 18722261","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*k**5 + 4*k**4 + 16*k**3 = 0. Calculate k.\nAnswer: -2, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand (51*m**3 + 10*m - 4*m - 4*m)*(-2*m + 2*m - 4*m**2).\nAnswer: -204*m**5 - 8*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let z(g) = 577*g + 174258. Determine z(-302).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 11918?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let j(z) = -1348*z + 22618. Determine j(17).\nAnswer: -298","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*c + 111 - 123 = 0. Suppose -3*w - 4 = -4*w. Suppose c*o + 3 = 5*z + 5, -w*z + 56 = 4*o. Solve 3*a + 3*j + o = 0, 6*j = j - 15 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from smssvfvmvmm. Give prob of sequence vf.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0000026462099 to 7 decimal places.\nAnswer: -0.0000026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 7255749948?\nAnswer: 2, 3, 8171, 73999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*n - 5*n - 2*q = -13, -4*n + 2*q = -2. Suppose n*h + h + 6 = -2*r, 3*h = r + 18. What is the units digit of 3\/(r\/(-12)) - 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3557*v**2 - 582*v**2 + 274*v**2.\nAnswer: 3249*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -1205.23519 - -1205.3. Round n to 2 dps.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*v = 6*v - 44. Calculate the lowest common multiple of v and 12.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 31 divide 675524?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -3081 + 1887. Let i = v + 1740. What is the units digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in three tenths of a litre?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y(b) = -1159*b**2 - 244*b + 61. Let x(u) = -58*u**2 - 12*u + 3. Let t(p) = 61*x(p) - 3*y(p). Let f(h) = -18*h**2. Give t(f(l)).\nAnswer: -19764*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand (11*n + 6*n - 24*n + 2)*(-1 - n + 1)*(-3*n**2 - n**2 + 6*n**2).\nAnswer: 14*n**4 - 4*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4\/3, -1, -0.111, 4, -2\/3 in increasing order.\nAnswer: -4\/3, -1, -2\/3, -0.111, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -192.5 - -192. Which is the biggest value?  (a) -3  (b) i  (c) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -5 divided by 56\nAnswer: -5\/56","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*v = 4*f - 4, -4*f - 10 = -3*v + 14. Suppose t = -v*t. Suppose t = 2*g + 2*g - 8. Calculate the remainder when 2 is divided by g.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(b) be the first derivative of -b**3\/3 - b**2\/2 - 2*b + 704. What is p(0)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 9 - 8.91. Let a = t + 0.91. What is the nearest to 0 in -0.2, 0.3, a?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(a) = 206 + 21*a + 24*a - 110*a + 31*a. Let d be s(6). Solve 8 - d = 3*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -5*n**4 + 3*n**3 - 9*n**2 - 2012*n wrt n?\nAnswer: -60*n**2 + 18*n - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from pmwpmpmwmzwpzhhpwzm. Give prob of picking 1 h and 1 p.\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -682\/58051 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.1 in 0.5, -5, 3, -4\/7?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let p(d) = -14*d - 20. Give p(-5).\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Divide -595683 by 99.\nAnswer: -6017","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 5138786 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 2\/35, -2\/3, 0.5, -7\/10, 0.1?\nAnswer: -7\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: -13 + 10 + 0 + 1 + 4\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 236.079427 minus 27345?\nAnswer: -27108.920573","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4756*a**3\/7 - a**2 = 0. Calculate a.\nAnswer: -7\/4756, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5 = -4*g + 7. Let d(x) = -x**6 + 3*x**5 + 6*x**2 + 3. Let w(n) = n**5 + n**2 + 1. Let s(u) = g*w(u) - d(u). What is the third derivative of s(m) wrt m?\nAnswer: 120*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 10101110101101001011 (base 2) in base 15?\nAnswer: e2065","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 578.3 and 3?\nAnswer: 575.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 197777, 197791, 197823, 197879, 197965, 198087, 198251, 198463?\n\"Answer: t**3 + 3*t**2 - 2*t + 197775","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-c + 3 - 3)*(-2 + 1 + 2) - c + 3*c - 5*c - 119 + 119 + 3*c)*(-12 - 6 + 6).\nAnswer: 12*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (4 - (1 - -1))*1. Factor -3*p**2 - 3 + 3*p + 4 - t + p**3.\nAnswer: (p - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -14, -10, -4, 4, 14, 26, 40?\n\"Answer: g**2 + g - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (56\/(-36))\/7 + (-1084)\/(-18). Let r be (-3)\/p*-5 - 9\/(-12). Is -2\/117 less than r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 29884?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {a: 1, y: 6, g: 3, m: 1, n: 1, c: 1}. Give prob of sequence yman.\nAnswer: 1\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 770 in 0, 1, 0.4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*a + 3*c = 34, -4*a = -0*c + 3*c - 29. Sort 1, a, -3, -5 in descending order.\nAnswer: a, 1, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:16 AM and 6:20 AM?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*d - 20 = 2*p - 6*p, -d - 10 = -4*p. Let x = 0 - 0.1. Let m = 0.2 + x. Which is the nearest to 0.1?  (a) -0.1  (b) m  (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -1 + -6 + (10 - (5 - -1)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Determine l so that -3*l**5\/4 + 453*l**4\/2 - 3975*l**3\/2 + 2850*l**2 + 7953*l\/4 - 6153\/2 = 0.\nAnswer: -1, 1, 2, 7, 293","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let k(z) = -2*z**2 + 2. Let h be k(2). List the prime factors of 17\/2 + h\/(-12).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: 8 times -2.05369\nAnswer: -16.42952","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 7?  (a) -0.1  (b) 18  (c) -0.4  (d) 4  (e) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: 5 divided by -425\nAnswer: -1\/85","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0*w**3 - 36*w**2 - 2*w**3 + 53 - 44 - 2*w**3.\nAnswer: -4*w**3 - 36*w**2 + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(1078) + (4*sqrt(1078)*-1 - sqrt(1078)) + sqrt(1078))\/(3*sqrt(242)*2 - sqrt(242)).\nAnswer: -21*sqrt(11)\/55","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let s(z) = 16*z**2 + 14*z + 20. Let u(n) = -3*n**2 - 3*n - 4. Let o(b) = 2*s(b) + 11*u(b). Give o(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -8411833 + 14188029. Let c = -3327090409\/576 + h. Let w = c + 1\/64. What is the common denominator of w and 43\/6?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth smallest value in 3202, -4, 2.5, -2, -3\/11, -5?\nAnswer: 3202","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 9, -3\/2, -4, -3?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 1010429766*b**2 + 6*b - 161554.\nAnswer: 2020859532","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 21113*a**6 + 8*a**2 + 281*a - 1?\nAnswer: 2533560*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-2)\/9*14\/((-280)\/(-30)). What is the nearest to -0.2 in 0, s, 5, 0.28?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 20 = -4*w + 73 - 25 - 4 for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*v + 4*y - 13 - 12 = 0, -2*v - 2*y + 10 = 0. Sort v, 0.03, 2, 4 in increasing order.\nAnswer: 0.03, 2, 4, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*v + 20 = 7*v. Let z(a) = 2*a**3 - a**2 - a + 1. Let r be z(1). List the prime factors of 2\/2*v\/r.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(h) = 42*h**3 + 6*h**2 - 1560*h + 2. Let u(x) = 37*x**3 + 6*x**2 - 1560*x + 2. Let z(f) = -9*g(f) + 10*u(f). Find the second derivative of z(o) wrt o.\nAnswer: -48*o + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve f + 3*f - 12*f - 193 - 31 = 8*h, 6*h - 132 = 4*f for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-279 - -262) + 2 + 6 + -22?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"}
{"text":"Question: What comes next: 1159, 4687, 10579, 18835, 29455, 42439, 57787?\nAnswer: 75499","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*d - 2*d + 35 = 0. Let b(m) = -1227*m - 7 + 2 + 1228*m. Let k be b(d). Is k bigger than 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 490 minutes after 8:07 AM?\nAnswer: 4:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.000122 to five dps.\nAnswer: 0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let s(j) = -j**3 + 8*j**2 - 44*j + 145. Let h be s(5). Which is the biggest value?  (a) h  (b) -14  (c) 0.3  (d) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 205614?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.0301 and -1077.\nAnswer: 32.4177","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 211 - 226.8. Let g = 16.1 + u. What is the nearest to 5\/3 in -3, -2, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*x - v = -9, x + 6 = 4*v - 0. What is the hundreds digit of (x\/(-2))\/(6 + 707\/(-118))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -266660*c**3*w**2 + c**3*w + 2*c**3 + 4*c**2 + 296*c wrt w?\nAnswer: -533320*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let m be ((-16)\/(-4) + 941)\/(-2). Let c = m + 495. Suppose -3*u**2 - 2*u + c*u**3 + 0 - 81\/4*u**4 = 0. Calculate u.\nAnswer: -2\/9, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:09 PM and 10:20 PM?\nAnswer: 251","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*c + 20 = 4*c. Which is bigger: 12 or c?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(d) = -d**2 + 4*d - 2. Let n be a(2). Suppose 0 = -0*f - n*f. What is the third derivative of 3*z**2 + f*z**5 - 4*z**2 + z**5 wrt z?\nAnswer: 60*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 38 a factor of 19322?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 68 = -5*d + 118. What is the lowest common multiple of 6 and d?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 0.8 - 0.828. Let c = t + 0.02837. What is c rounded to four decimal places?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1895 is divided by 439?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in 13\/4 of a minute?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x(m) = 2*m**2 - 123*m + 1265. What is the remainder when 2057 is divided by x(12)?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*z = 58 + 5. Let j = z - -37. Solve 9 = o - 4*o, -2*b - 2*o = j for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose w - 13 = -10. Let o be -9*((-40)\/(-12) + -4). Suppose 2*h = -w*g + 3*h + o, 0 = -g + 4*h + 2. Solve 2*t + n = t - g, 3*t - 2 = -n for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9 - 3 = -l. Let w be (l\/(-3) - 3)*-5. Suppose j = 25 - w. Does 20 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -160 + 161. Let s(c) = c + 4. Let p(y) = -2*y - 2. Let l(d) = q*s(d) + 2*p(d). Determine l(6).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(c) = -18*c + 117. Let z(u) = 4*u. Calculate o(d) + 5*z(d).\nAnswer: 2*d + 117","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 600 is divided by 248.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 5 times 0.0834?\nAnswer: 0.417","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:53 AM and 5:31 PM?\nAnswer: 458","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*l + 3 = -q, 3*l + 2 - 1 = 2*q. Let d be (-66)\/(-45) - 1\/(-3). Which is smaller: d or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 14 + -10. Suppose -3*g - 2*w + 5 = 1, 3*g = -w + 5. Let f(l) = 2*l**3 + 3*l**g - 12 - 12 + 20 - 4*l. Let m(h) = h**3 + h**2 - h - 1. Give a*m(y) - f(y).\nAnswer: 2*y**3 + y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 q and 1 l when four letters picked without replacement from {g: 8, l: 3, q: 7}?\nAnswer: 7\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-251 - -194) + 14 + 2 + 16?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 116 - 696 = -2*h. What is the tens digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are -1 and 488\/74735 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: 2510480 divided by -156905\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-114625)\/(5\/1)*(-48000)\/14. Round t to the nearest 1000000.\nAnswer: 79000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -20 + (-2*(-40015)\/2544)\/(5\/3)?\nAnswer: -9\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4 + (sqrt(30)\/sqrt(6))**2 + 1 + sqrt(20)\/(1*sqrt(324)).\nAnswer: sqrt(5)\/9 + 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*f**2 + 15612*f + 15608 = 0. What is f?\nAnswer: -3902, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12246 = -153*f + 140*f. Is f a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -1 >= 3714\/571?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -26*m**6 + 3*m**5 - 5*m**2 + 23*m wrt m.\nAnswer: -3120*m**3 + 180*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let a(m) = -9*m**2 + 4*m - 3 - 1 - 1 + 2*m**3. Suppose 5*o + 25 = 10*o. Let f(y) = -3*y**3 + 14*y**2 - 6*y + 8. Determine o*f(h) + 8*a(h).\nAnswer: h**3 - 2*h**2 + 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*i**5 + 3*i**4 - 3*i**4)*(-3 - 2 + 6 + 0 + 0 - 1 + (0 + 0 - 1)*(-2 + 0 + 3) - 34 + 225 + 88).\nAnswer: 556*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 10241342, 10241346, 10241352, 10241360, 10241370, 10241382, 10241396?\nAnswer: 10241412","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -2408540, -4817077, -7225614, -9634151, -12042688?\n\"Answer: -2408537*r - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify o**(-1)\/o*(o\/o**(-2))\/o*(o\/(o*(o*o**(-6)\/o*o*o)\/o)*o)\/(o*(o\/(o\/(o**0*o)))\/o)*(o*o\/o**(-4))\/(o\/(o**(-1)\/o*o))*(o**(-1)*o)**27 assuming o is positive.\nAnswer: o**9","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-6)\/(-21)*(-10458)\/65736?\nAnswer: -1\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2*((5*((sqrt(88) - (sqrt(88) + (sqrt(88) - sqrt(88)*-2 - sqrt(88)) - sqrt(88)))*-6 + sqrt(88)))\/((sqrt(48)\/sqrt(6)*-3 - sqrt(8))*5))**2*4.\nAnswer: -539\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3909, -2, 4323 in ascending order.\nAnswer: -2, 3909, 4323","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 2\/18 + 2\/6. Sort w, -5, 0.2 in descending order.\nAnswer: w, 0.2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c*c\/(c**0*c)*c)\/c**0*(c**(-2\/3)*c)\/c**(-5) assuming c is positive.\nAnswer: c**(22\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 4 - 3. What is the nearest to w in -2\/7, 5, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 384 and 896.\nAnswer: 2688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (6 + -6)*(7 + -8). Let c be (4\/(-9))\/(1 + 1). Is a != c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -661.98 - -659. Let k = r + 2.98000323. What is k rounded to six dps?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 172580, 172579, 172578?\n\"Answer: -w + 172581","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: -4148 (base 11) to base 16\nAnswer: -1579","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: 0.4 + -52869\nAnswer: -52868.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let y(v) = -v + 15. Let o be y(10). Suppose 0 = 2*w + w + 2*c - 3, o*w - 4*c = 27. Let r be 1*-12*(-2)\/w. Solve -3 = s - r for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from qubnmbs. What is prob of sequence sbq?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 0.35 + -0.05. Let g = 203.5 - 203. What is the fourth smallest value in -1\/8, l, 2, g?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 93 * 12\nAnswer: 1116","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0002081932 rounded to six decimal places?\nAnswer: -0.000208","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -130004 + -142111?\nAnswer: -322120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 15508055 is divided by 130?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 24749 + 128*i**3 - 49498 + 24749.\nAnswer: 128*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 5 + 50?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -23 - 132101023?\nAnswer: -132101112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*g + 0*g - 5*g)*((-2 + 0 + 4)*(-9 - 2 - 8) - 1 - 1 + 1) - 3*g + g + 0*g + (2*g - 2*g - g)*(-3 - 2 + 6).\nAnswer: 75*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*z + 4*q + 24 = 0, -4*z - q = -5*z + 7. Find the third derivative of 6*w**3 - w**3 - 44*w**3 - z*w**2 wrt w.\nAnswer: -234","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be -19 + -75 + -12 + -17. Sort -4, 1\/12, p.\nAnswer: p, -4, 1\/12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 8\/(-2) - 23\/((-92)\/24). Solve 2*u - x*o + 0 = 4, u - 2*o - 5 = 0 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(a) = a**3 + 5*a**2 + 2*a - 3. Let c be q(-6). Let u be (-340)\/(-7) - 0 - (-240)\/560. Is 8 a factor of u\/3 + 17\/c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*y + 5*n = -60, -2*y + y = 3*n. Let v = -4 - -10. What is the lowest common multiple of y and (22\/6)\/(2\/v)?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.003 times 7626?\nAnswer: -22.878","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -1895, -1611, -1333, -1061, -795, -535, -281?\n\"Answer: -3*k**2 + 293*k - 2185","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {e: 6}. Give prob of picking 2 e.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-5)\/10*(2 + 0). Let l(v) be the second derivative of -v**5\/20 - 20*v - 8. Let f(u) = -2*u**3 - 1. Give n*f(h) + 4*l(h).\nAnswer: -2*h**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let n(j) = -j + 2. Let z be n(0). Suppose z*y = 21 + 19. Suppose 5*q - 3*v - 69 = -11, -3*q - 5*v + 28 = 0. Calculate the remainder when y is divided by q.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 13932819601 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-9)\/(-56) + 105\/840?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(x) be the second derivative of -x**5\/10 - 23*x**4\/12 + 22*x**3\/3 + 32*x**2 + 6*x + 133. Calculate b(-13).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 3097 or 3098?\nAnswer: 3097","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -110123, -220281, -330437, -440591?\nAnswer: -550743","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose p + 43 = 4*l, 2*l = -3*l - 3*p + 41. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 68798366 to the power of 1\/4, to the nearest integer?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 2000313 + 203331?\nAnswer: 2210310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 4401 a factor of 438779700?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let v(u) = -u**3 + 3*u**2 + 3*u + 3. Let i(p) = -2*p**3 + 5*p**2 + 5*p + 5. Determine -3*i(h) + 5*v(h).\nAnswer: h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -31*m + 49*m = 54 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1 in 108, -16, -9.737, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 1.8 + -2. Let t be (2 - 4)\/(54\/9). What is the closest to 1 in 2, w, t?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -0*i + 3*i - 18. Let l be (i\/16)\/((-6)\/4). Suppose -5*q - 2*d + 2 = 0, -2*d = 3*q - 0*d + 2. Is l smaller than q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -196 + 172 = 6*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Do -4\/77 and -1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*k - 2*k + 5*k. Suppose k = 3*i - 5*w - 1826, 5*w - 3*w - 2426 = -4*i. List the prime factors of i.\nAnswer: 607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 103204991 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let q(n) = 8*n - 107. Let c be q(19). Calculate the remainder when 42 is divided by ((-328)\/410)\/((-92)\/c + 2).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (90477\/5585 + (2 + -19)\/1)*155\/(-2)?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 7.31 - 6.91. Which is the second biggest value?  (a) r  (b) -1\/52  (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(j) = -8*j + 69. Calculate n(8).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*l + 54 = 6*a - 2*a, 46 = 5*l - 4*a. Suppose -3*q + l = -17. Calculate the remainder when (0 + 4)*(-323)\/(-38) is divided by q.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -19866 = -512*y - 827*y + 534*y - 1001*y for y.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3*(((sqrt(25) - sqrt(1225) - sqrt(25))*6)\/sqrt(5))**2.\nAnswer: -26460","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -23\/4 and (6 + 204\/(-32))\/((-1)\/(-68))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 5 and -11592.\nAnswer: -57960","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 49259?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -3, -15, -37, -69?\nAnswer: -111","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 73098234 to the power of 1\/2, to the nearest integer?\nAnswer: 8550","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"}
{"text":"Question: Convert -46c2 (base 13) to base 7.\nAnswer: -41016","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -1, -1, -17, -61, -145, -281?\nAnswer: -481","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 4033 - -2426. What is the hundreds digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 7*c - 52 + 45. Solve 5*r = c + 19 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 88252 at least as big as 88252?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -131 = -41*x + 115 for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Put 453, -1, 0.2 in ascending order.\nAnswer: -1, 0.2, 453","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 + -4 + 0 - -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 278 or 279?\nAnswer: 278","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -24*d + 29*d + 12*d. Put 5, -9, -8, d in decreasing order.\nAnswer: 5, d, -8, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(w) = -88*w**3 - 1238*w**2 + 15*w + 15. Let s(j) = 23*j**3 + 310*j**2 - 4*j - 4. What is 4*c(p) + 15*s(p)?\nAnswer: -7*p**3 - 302*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 54  (b) -3  (c) 18.9  (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 548?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -1691, -1699, -1707, -1715, -1723, -1731?\nAnswer: -1739","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-10 - (-3 + (6 - 2))) + (-473 - -563).\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -15.078 + 15. Let i = -0.155 - o. Let x = i + 0.076902. Round x to five decimal places.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 15338\/9 + -1700. What is the common denominator of -37\/3 and x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 41 + -25. Let d = 19 - 6. Let l = d - a. Put 1\/4, l, 5 in decreasing order.\nAnswer: 5, 1\/4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(b) = b**3 + 8*b**2 + 12*b + 1. Let m be u(-6). What is the first derivative of m - 188*f**2 + 0 - 6 + 2 + 2 wrt f?\nAnswer: -376*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((6*sqrt(12)*-1 - sqrt(12))\/((sqrt(324) + sqrt(36))\/sqrt(6)) - (2 + sqrt(14)\/(sqrt(700)*4)))**2.\nAnswer: 71*sqrt(2)\/10 + 8241\/800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -u - u + 2 = -2*q, 2*q - 4*u + 10 = 0 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let h be ((-598)\/(-78))\/(2\/2400). What is h rounded to the nearest 10000?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 865*v**3 - 2308*v**3 + 3211395905*v**2 - 3211395905*v**2.\nAnswer: -1443*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 114995160 a multiple of 164?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-14*h + 3*h - 4*h)*(26*h**2 + 32*h**2 - 80*h**2).\nAnswer: 330*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 7 + (-10 - (-13 + 7)) - -5?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1 + 11 + -3 - 1.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -99\/520 and -8\/39?\nAnswer: 1560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1\/42 in -0.4, 0, -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.5 and 1258445.\nAnswer: 629222.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -393 + 249. Find the common denominator of 87\/2 and (-257)\/p - (-2)\/(-9).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(c) = -3*c**2 + 0*c**2 + 5*c**2. Let d(y) = 8*y**2 - 70*y - 21. Let g(w) = 14*w**2 - 120*w - 34. Let i(m) = -12*d(m) + 7*g(m). What is i(l(u))?\nAnswer: 8*u**4 + 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let o(b) = b + 21. Let m be o(-10). Let p be 24\/m + (-6)\/33. What is the second derivative of -i**5 + 11*i + 0*i + 3*i**2 - 3*i**p wrt i?\nAnswer: -20*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6 - 2 = 185*z - 8 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -1580*n + 1581*n - 4*t - 6, -2*t = 5*n - 30 for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -q + 4*q - 1788 = 0. Suppose -t = -3*t + q. What is the remainder when 41 is divided by t\/14 + 6\/(-21)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(y) = -8*y + 0 + 5 - 3. Let b be i(2). Let r = 0 - b. Is r a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -973152189, -973152190, -973152191, -973152192?\nAnswer: -973152193","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 618277120 to the nearest integer?\nAnswer: 24865","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let l(z) = -7*z - 35. Calculate the least common multiple of l(-6) and 5.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1047?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 4 (base 14) in base 16?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -23308, -46596, -69894, -93208, -116544, -139908?\n\"Answer: -s**3 + s**2 - 23284*s - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-101)\/(-9) + 4\/(-18). Let v be 1 + 3 - 5 - -122. Calculate the greatest common divisor of v and m.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 285\/(-6)*(8\/(-20))\/(-1)*-15641 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -47 - -48. What is the remainder when 56 is divided by m*2 + (1 - -16)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 634 minutes before 2:20 AM?\nAnswer: 3:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -12*m - 3*c = -17*m - 13, -2*m - 8 = -4*c for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -623 and -6597.\nAnswer: 4109931","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 649546.\nAnswer: 2, 324773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-46)\/(-207) + 2*14334\/27. Is x\/27*(-153)\/(-6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 1766 + -1770. Put 4, -1, s, -2 in decreasing order.\nAnswer: 4, -1, -2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(p) = -p**2 + 15*p + 5. Let c be z(8). Let d = -41 + c. Let f = d + -22. Let l(m) = -3*m - 2. Determine l(f).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -102bb (base 14) in base 10?\nAnswer: -38973","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p be ((-3212)\/(-11))\/((-14)\/4). Let t = p + 84. Factor -16\/7 + 2\/7*v**3 + t*v**2 - 8\/7*v.\nAnswer: 2*(v - 2)*(v + 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(t) = t + 15. Let y be b(-9). Suppose -3*v + 0 + y = 0. Suppose -v*z = -5*z + 99. What are the prime factors of z?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: 28\/14*(-117)\/12*1\nAnswer: -39\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 133*m + 1010 - 2154 = 4442 for m.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in seventeen halves of a millennium?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b(u) = 5*u**2 - 440*u - 9. Let o(y) = -2*y**2 + 220*y + 4. Determine -3*b(k) - 7*o(k).\nAnswer: -k**2 - 220*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -12 divided by 74833.\nAnswer: -12\/74833","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 682 minutes after 12:18 PM?\nAnswer: 11:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand (9 + 20 - 4)*(-q + 0*q + 0*q)*(3*q**2 + 5*q**4 - 3*q**4 - 5*q**2) + (-80*q**3 - 12*q**4 + 80*q**3)*(4 - q - 4).\nAnswer: -38*q**5 + 50*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -1845 + 4?\nAnswer: -1841","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve k**3\/3 + 5566*k**2\/3 + 11129*k\/3 + 5564\/3 = 0.\nAnswer: -5564, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 163521075.\nAnswer: 3, 5, 2180281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 234 divided by 15?\nAnswer: 78\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (18\/42)\/((-20)\/14)*-4*(-21)\/(-189).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor -1712*f**2\/7 + 119732*f\/7 + 30040\/7.\nAnswer: -4*(4*f + 1)*(107*f - 7510)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let f(r) = -175*r + 1642. List the prime factors of f(-7).\nAnswer: 47, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4183 = 2*u - 651. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 129*l + 181*l - 202*l - 102492. Calculate the greatest common divisor of l and 65.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -16*c + 180 = 212. Is -10\/19 >= c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 19590 is divided by 1227.\nAnswer: 1185","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let m(z) = -8*z**2 + 2*z + 138. Let i be m(0). Find the second derivative of -132*r**2 - i*r - 58*r**2 - 14*r**2 - 57*r**2 wrt r.\nAnswer: -522","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -8\/11 in 8072, 0, 0.09?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 49\/801 and -53\/5?\nAnswer: 4005","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 4472 and 4212?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is cd + 14?\nAnswer: e2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Express 7 - 74*q - 3 - 5 as l + v*q and give v.\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let c(o) = -o**2. Let f(i) = -2*i**3 - 4*i**2 + 7*i + 2. Suppose 0 = -6*p - 48, 0 = -4*q + 4*p - 5*p - 24. Calculate q*c(k) + f(k).\nAnswer: -2*k**3 + 7*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -5366 + 5370. Solve -o*x - 2*l - 16 = 0, -3*x - 2*x + l = 20 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -13*t + 9*t - 8*t.\nAnswer: -12*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Does 214 divide 1652500213?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 11763568*r**4 + 231587*r**2 wrt r.\nAnswer: 282325632*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -6 + 10. Let a be 6\/y + (-11)\/(-2). Suppose -4*c + a*c = 24. List the prime factors of c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -7 + 4 - (0 - (-2 + 7))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 942326 and 47096.\nAnswer: 406","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 617297 or 2469183\/4?\nAnswer: 617297","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: -2.1*27924\nAnswer: -58640.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -14784, -15542, -16300, -17058, -17816?\n\"Answer: -758*j - 14026","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 164 and 268916?\nAnswer: 11025556","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let w(z) = -z**3 - 3*z**2 + 3*z. Let r be w(2). Let j = 14 + r. Suppose 5*x - 2*g + 8505822 - 805830 = 0, j = x + 5*g + 1540020. Round x to the nearest 100000.\nAnswer: -1500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: 4\/(-2)*((-4)\/(-6) + (-65)\/75)\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 406 by 45816.\nAnswer: 203\/22908","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 4700728 is divided by 235?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 171 a factor of 237787213?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.000374474 to six decimal places.\nAnswer: -0.000374","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 m, 1 z, and 1 u when three letters picked without replacement from {m: 3, z: 1, x: 2, u: 1, c: 2, v: 3}?\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 701.722mm in nanometers?\nAnswer: 701722000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is (-1500)\/(-800)*(1 + -9)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve d + l + 7 = 0, -4*d = -5*l - 10 + 2 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is -444.974721 rounded to the nearest one hundred?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 892473917 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -36*d + 24 = -44*d. Suppose -y + 3*y + 16 = 4*i, -4*y + 4 = i. Let h(u) = 6*u**3 - 4*u. Let x(p) = 5*p**3 - 3*p. Give d*h(l) + i*x(l).\nAnswer: 2*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*j + 79 = -33*t + 6 - 188, -3*j - 11 = -6*j + t for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let v(l) = 2*l**2 + 0*l - 10 - 1 + 6*l. List the prime factors of v(-6).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 26 = 2*h - 4*m + 10, 0 = -m. Suppose 0 = -3*y - 2 + h. Does y = 2\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 170 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 4051767 to the power of 1\/2, to the nearest integer?\nAnswer: 2013","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let z(j) = -90*j + 120. Let l be z(4). Let g = 300 + l. What is the tens digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 6402060646 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 0\/(-1) - 0 - (-16)\/(-24). Which is the smallest value?  (a) -3  (b) -5  (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 142 - 131. Suppose -3*x = v - 108, 189 - n = 5*x + v. Calculate the remainder when 69 is divided by x.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 227333.2 millilitres?\nAnswer: 227.3332","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((p\/(p*p**(-1\/5)))\/p)**(1\/30)*p**(4\/9)\/(p\/p**5) assuming p is positive.\nAnswer: p**(994\/225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2052 = -77*o - 37*o for o.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -454, -910, -1366, -1822, -2278?\n\"Answer: -456*o + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-605980)\/849850 + 8\/10?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 605 minutes before 8:12 PM?\nAnswer: 10:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 132*b**3*p**3 - 146*b**3*p**2 - 7*p**3 + 8*p**2 wrt p?\nAnswer: 792*b**3 - 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 37794?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3559*f + 3557*f - 4*y + 112 = 0, 0 = 3*f + y - 143 for f.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 772398 and 2083134?\nAnswer: 68743422","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 2231 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 q, 1 a, and 1 c when three letters picked without replacement from qkqceaaaqaqqaaac.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 366045 and 25185.\nAnswer: 345","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let i(d) = -12*d**2 - 433*d + 868. Determine i(2).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 120\/90*(-18)\/(-16).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t(z) be the first derivative of -14*z**6\/3 - 267*z**5\/5 - 127*z**4 - 109*z**3 - 29*z**2 + 85. What is h in t(h) = 0?\nAnswer: -29\/4, -1, -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 56.7842 - -0.0158. Let x = v + -58.216. What is x rounded to one dp?\nAnswer: -1.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1070?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 0.142 - -2.488. Let z = r + 0.37. Is 10 at least as big as z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 0.03803377 and -0.3?\nAnswer: 0.33803377","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-21)\/(-14)*(-4)\/3)\/(10\/20)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3*s - 4*s + 1 + 3*s**2 - 13.\nAnswer: 3*s**2 - s - 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -827*y + 822*y - 60 for y.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: 0.19 * 1005398\nAnswer: 191025.62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 269 is divided by 1\/(2\/(-5)*(-315)\/9576)?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add 0.1 and -197.\nAnswer: -196.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let g(y) be the third derivative of -y**6\/120 - y**5\/30 - y**4\/24 - 76*y**2. Calculate g(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -162066 to the nearest 100000.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -5 - -1 - (36 + -43)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*o - 4*o - z = -8, 0 = 5*o + 2401*z - 2399*z - 22 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -801*s = -817*s - 736. Which is the smallest value?  (a) 0.1  (b) 0.5  (c) s  (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-263)\/(15\/9*-3 - -4). Let h = 388 - a. What is the tens digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(l) be the first derivative of 280000*l**3\/3 - l**2\/2 - l + 7. Let c be a(-1). What is c rounded to the nearest ten thousand?\nAnswer: 280000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 831.3 to the nearest ten.\nAnswer: 830","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((k*k**(-1\/29))\/k**(-4))\/(k\/(k\/(k\/(k**30\/k*k*k))*k)*k**(-20)) assuming k is positive.\nAnswer: k**(1623\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 95971 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1\/(((-3)\/3)\/1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 78581 and 2195.\nAnswer: 439","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let o(q) = q**3 - 34*q**2 + 187*q - 19. Give o(7).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((g**(-2)*g*g*g**(-1\/5))\/(g**4\/(g\/(g\/(g**(-1\/8)*g)))))**(4\/25) assuming g is positive.\nAnswer: g**(-133\/250)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 66471341?\nAnswer: 89, 746869","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 69548063 and -11099.41?\nAnswer: 69559162.41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 14*k**3 + 14*k**3 + 21*k**3 - 15*k**3 - 6*k**3 + 3*k**3.\nAnswer: 31*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Work out 4 * -0.97794.\nAnswer: -3.91176","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 943 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 1522 and 12?\nAnswer: 9132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 5 - 2. Suppose -j*d = d - 60. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 0\/(4*3\/(-6)). Suppose -3*o + 0*o + 180 = n. Round o to the nearest 100.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (1175 + 51*f - 1175)*(2 - 1 - 2)*(-4*f**3 + 663*f**2 + 13*f - 663*f**2) in the form g*f**3 + a*f + p*f**2 + s*f**4 + v and give s.\nAnswer: 204","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 2670, 10156, 22670, 40212, 62782, 90380?\nAnswer: 123006","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-5)\/10*(-20)\/1. Suppose -3*m - 45 = 2*m. Let c = m + r. Round c to the nearest 10.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (0 - 3\/48*8)*-10?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(s) = -17*s - 12. Calculate the remainder when a(-14) is divided by 52.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 4\/(-16) + 17\/4. Suppose -x = y*p - 28, 0 = -3*x - p + 8 + 43. What is the greatest common divisor of 144 and x?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 16 = -118*d + 102*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 27035641?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 2844 at least 2\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*g - 32 = -2*j - 2*j, 2*g - 22 = -3*j. Solve j*x = 5*x - 4 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*g - 1042 = -2*x - g, 5*x = -4*g + 2605. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -490655 - 1477801 = -24*u - 0*u. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(h) = -2*h**3 - 2*h**2 - h + 2. Let n be (-4)\/(-30) + 590\/75 + -1. Let o(l) = 6*l**3 + 7*l**2 + 3*l - 7. Give n*i(c) + 2*o(c).\nAnswer: -2*c**3 - c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 11011100100100 + -101000?\nAnswer: 11011011111100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Factor 0*d**3 + 0 + 2\/5*d**5 - 4\/5*d**4 - 2\/5*d + 4\/5*d**2.\nAnswer: 2*d*(d - 1)**3*(d + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 1 + -121d20?\nAnswer: -121d1f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 0.082 + -0.014. Round g to 1 dp.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in one quarter of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a(m) = -5*m + 18. Let b be a(1). Suppose 2539 = b*h - 8914. What is h 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 230, 503, 776, 1049?\nAnswer: 1322","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 52 - 73 - 2*l + 52.\nAnswer: -2*l + 31","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let j(g) = -g**3 - 11*g**2. Suppose -q = -5*r + 31, 0*r + 3*r - 12 = 0. Let b be j(q). Suppose -2*n + 0*n + 20 = b. List the prime factors of n.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-15 + 3 - 6)*(i - 2*i - 4*i) - 1 + 0*i + i + 3)*(-i - 3*i + 6*i) - 2 + 2 - 2*i**2 + (-2 - 1 + 4)*(71*i**2 + 3*i**2 + 74*i**2).\nAnswer: 328*i**2 + 4*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 165091, 330190, 495289, 660388, 825487, 990586?\nAnswer: 1155685","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i(n) = 339*n - 62. What are the prime factors of i(4)?\nAnswer: 2, 647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -14 = -3*u - 24*w + 22*w, 0 = 5*u + 3*w - 23 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*q + 391 = 83. Let r = -24 + q. Let y = -12 + r. What is the units digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*d**2 + 33665976*d + 100997910.\nAnswer: 2*(d + 3)*(d + 16832985)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 557 + -555. Suppose -4*m + 5 = 5*g + w, -3*m + 1 = 4*g. What is the remainder when m is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6 = -o + 10. Let m = -9 - -3. Let j be o + m + -2 + 4. Solve j = -2*t + 2 + 2 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (9 - (-15)\/(-20)*200\/225)*18\/(-10).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(t) = 43*t**2 - 83*t + 877. What is the hundreds digit of i(14)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor f**4 - 124*f**3 - 4*f**2 + 496*f.\nAnswer: f*(f - 124)*(f - 2)*(f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*i**2 + 3*i**2 - 2*i**2)*(53 + 18 - 16).\nAnswer: -110*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -1, 17, 71, 179, 359, 629, 1007, 1511?\n\"Answer: 3*h**3 - 3*h - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is (4 - (21942\/37)\/18) + (-8)\/148?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(z) = z**3 - 5*z**2 - 3*z + 4. Let u be d(6). Let i(s) = -s**3 - 2*s**2 + 3*s + 2. Let j be i(-3). Let h = -4 + 9. Solve h*l - u = -j for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g*g\/g**5*g**(1\/3)*g)**(1\/2) assuming g is positive.\nAnswer: g**(-5\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -4*q + 0*q + 10*q + 12*q to b*q + o and give b.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Express (2 - 2 - o**3)*(3657 - 3659 - 46*o - 15*o) in the form y + d*o**4 + a*o + k*o**3 + m*o**2 and give d.\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -101 - 1211?\nAnswer: -2012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 52*m**3 + 2*m**2 + 87123*m - 273239898 wrt m.\nAnswer: 156*m**2 + 4*m + 87123","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let x(s) = 2*s**3 - 24*s**2 + 410*s - 46. What is the thousands digit of x(11)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 9 in 470, 1\/3, -0.02, 2\/5, 1, 1.4?\nAnswer: 1.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 928321 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Does 141 divide 20786?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 21707, 21450, 21193, 20936, 20679?\n\"Answer: -257*s + 21964","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 7 + -10 + (-4)\/2. Let d(v) = v**3 + 6*v**2 - 3*v - 4. List the prime factors of d(t).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 777797838 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 3\/4 or 50013640?\nAnswer: 50013640","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let c(w) = -11*w**2 + 4*w + 3. Let y(s) = -16*s**2 + 6*s + 4. What is -7*c(p) + 5*y(p)?\nAnswer: -3*p**2 + 2*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*l**2 + 2*l**2 - 2*l**3)*(1 - 1 - 1).\nAnswer: 2*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-702)\/351*(-511)\/12*38\/133?\nAnswer: 73\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -88 in -5, 0.24, -1, -0.1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 39 a factor of 651417?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 795618652 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -5c + 17c?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 1 - -6 - (-112)\/28. What is the derivative of -4*t + 8 - 57 + 1 + y wrt t?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -3246, -6330, -9414, -12498, -15582?\nAnswer: -18666","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.1 in 0.5, -5, 0.1, -2985, -2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 24.1 - 24.6. Let p = -13.99 - 0.01. What is the biggest value in u, 0.1, 3\/2, p?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(30) + (-1*sqrt(30) - sqrt(30)))\/sqrt(10) + sqrt(3) + (sqrt(288)\/sqrt(6))**2 + (((sqrt(3) - sqrt(9)\/sqrt(3)) + 3 - sqrt(3)) + 1)**2.\nAnswer: -8*sqrt(3) + 67","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -147*h**2 - 157 wrt h?\nAnswer: -294*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.000006764875 to 7 decimal places.\nAnswer: -0.0000068","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*q = 4*n - 50, -5*q - 28 = -2*n - q. Let h = n + 48. List the prime factors of h.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 81817 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 231333461761 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 233*a**4 - 2*a**2 - 55*a?\nAnswer: 5592*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let a(o) = -2*o**2 + 3*o**2 + 2*o**2. Let q(v) = -16*v**2. Let f(j) = 11*a(j) + 2*q(j). Let z(d) = -125*d + 239*d - 114*d - 32*d**2. Calculate z(f(n)).\nAnswer: -32*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 15187148768287 minus 0.07?\nAnswer: 15187148768286.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1 + 84*d - 3 + 277*d.\nAnswer: 361*d - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*f**2 + 2*f**2 + f**2)*(19 - 29 + 16 + 2*f + 3*f**3).\nAnswer: 3*f**5 + 2*f**3 + 6*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: -9300 times 0.1\nAnswer: -930","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Express (-51*x**2 + 6*x**2 + 143*x**2)*(-8*x + 10*x + 7*x)*(0*x - 4*x + 2*x) in the form b*x + v*x**2 + k*x**3 + u + c*x**4 and give c.\nAnswer: -1764","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(12) + 1*sqrt(12)*3 + sqrt(12))\/(sqrt(144)*-1 + sqrt(4))*3.\nAnswer: -3*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let k(z) = -z**3 - 23*z**2 + 28*z + 72. Let l be k(-24). What are the prime factors of (3\/l*-158)\/((-12)\/(-240))?\nAnswer: 5, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3 = 2*w + 15. Calculate the least common multiple of 9\/w + (-3)\/(-1) and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, 5, -3, -5, -2 in increasing order.\nAnswer: -5, -3, -2, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*j**2 + 150*j - 432 = 0 for j.\nAnswer: 3, 72","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 512317 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in 1\/15 of a hour?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 255749876 to the nearest integer?\nAnswer: 635","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let b(m) = m**2 - 22*m - 277. Let h be b(31). Suppose -4*u - l + 11 = 0, -u - 2*l = 2*u - 7. Solve 0 = u*a + h*t - 12, -3*a + 5*t + 6 + 6 = 0 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(r) be the first derivative of 634*r**6\/3 + 2*r**3\/3 - 265*r**2\/2 - 1362. What is the second derivative of h(t) wrt t?\nAnswer: 25360*t**3 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -42\/5 in 4, -3\/8, -14?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 2 and -3592.\nAnswer: -7184","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 5905722408 - 20.31.\nAnswer: 5905722387.69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 75 and 90.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*g = r - g - 22, r = -2*g - 6. Suppose -3 = s - 2*s. Let p be (-9)\/(-3) - (s - 0). Put 3, p, r in decreasing order.\nAnswer: 3, r, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 813 (base 9) to base 12.\nAnswer: 470","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -14.47 - -3.44. Let k = r + 11. Round k to two dps.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (2 - 0) + -10 + 6 + -7 + -5?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i(y) = y**2 + y + 3. Let r = 46 - 46. Let p(z) be the first derivative of z**4\/4 - z**3\/3 + z**2\/2 - 1. Let c be p(r). Give i(c).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*b + 950 = 4*o - 13*b, -b = o - 242. What is the greatest common factor of 72 and o?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1144*d = -1134*d - 40 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -11*l - m + 66 = -2*m - 119, -5*m = -l - 12*m - 5*m + 41 for l.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let o(h) = -h**3 + 20*h**2 - 39*h + 57. Let k be o(18). Suppose -4*p - 7 + 23 = 0. Let r(g) = 6*g - 15. Let s be r(p). Sort s, 2, k in increasing order.\nAnswer: 2, k, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r**(-1\/2)*r\/((r\/(r*r**0))\/r*r))\/(r**7*r*(r*r*r**(-5)*r)\/r) assuming r is positive.\nAnswer: r**(-9\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -205 + 205.4. What is the closest to -2 in 2, -20, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence mmm when three letters picked without replacement from {m: 9}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let c(w) = 1. Let p(a) = -3 + 4 + a - 3. Suppose -2*y = -6*y - 3*d - 3, -d = 5*y + 12. Calculate y*c(j) - 2*p(j).\nAnswer: -2*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 953940067 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Express 8*t**3 + 41*t - 672603 + t**2 - t**3 + 672601 in the form b*t**3 + w + s*t + c*t**2 and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 470 and 30.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 22909 to the nearest integer?\nAnswer: 151","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 160*b - 154*b = 24 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -675, -1406, -2175, -2988, -3851, -4770, -5751, -6800?\nAnswer: -7923","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -135, -514, -1145, -2028, -3163, -4550, -6189?\n\"Answer: -126*z**2 - z - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*s = -6*s. Suppose 3*r - 7 - 50 = s. Calculate the remainder when 54 is divided by r.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -r + 5*p - 11 = 0, -3*r - 5*p - 42 = 11. Let x = r - -21. Let a = -880 + 885. Solve -x*m + m - 11 = 5*u, -a = 3*u + 4*m for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(o) = -o**3 + 3*o**2 - 4*o + 5. What is the remainder when 1 + (2 - (-2 + 3)) is divided by m(2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4891 a multiple of 503?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 120 and 312?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let u(y) = 2*y**2 - 29*y + 18. Let o be u(14). Solve 6*g + 10 = 2*p + g, -o*p + 4 = -2*g for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(y) = 553996*y. Let v(c) = 2*c. What is v(n(m))?\nAnswer: 1107992*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand (13*v + 21*v - 25*v)*((0 - 2 + 0)*(4*v - 3*v - 2*v) + 0*v - v - 3*v)*(2222 - 2222 + 14*v).\nAnswer: -252*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -19 - -17. Let v be 0*(-2)\/(t + 0). Solve v = 5*a + 3*p - 1, 3*a + 3*p = a - 5 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from cccxocccccoxccc. What is prob of sequence cccc?\nAnswer: 22\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0 + 168891.\nAnswer: 168891","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.11452 to three decimal places.\nAnswer: -0.115","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -1122, -1118, -1114?\nAnswer: -1110","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -693648 or -11\/23?\nAnswer: -11\/23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-1 - 86\/(-104))*(34 + 6860\/(-210)).\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 133791575.\nAnswer: 5, 23, 232681","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 945 and 25200.\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let h be ((-11)\/((-88)\/16))\/(12\/18). Let x = 7 + 0. Suppose x*b - h*b - 332 = 0. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -2 - 1424?\nAnswer: -1431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -9451, -8645, -7837, -7027, -6215, -5401?\n\"Answer: v**2 + 803*v - 10255","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 16048462.\nAnswer: 2, 2153, 3727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 158, 623, 1398, 2483, 3878?\n\"Answer: 155*i**2 + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1435 is divided by 48?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -q - 2*v + 745 = 0, -5*v = -2*v - 6. Suppose 4*h + q = 5*b, 2*h + 560 = 4*b + 7*h. Calculate the highest common factor of 29 and b.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*j + 30 = k, 2*j - 116 = -3*k - 0*j. Let s be 6608\/132 + 0 + (-116)\/1914. Calculate the highest common divisor of k and s.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (53590 - 53590 - 762*l)*(-16 + 4 - 1) as n + p*l and give p.\nAnswer: 9906","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -19855.17  (b) 0.075  (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 20487 is divided by 23.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: -4 divided by -132\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -11 + 10 + -2 + (2 - 0).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r(z) = -z**3 + 15*z**2 + 17*z - 17. Let v be r(16). Let w be (-1)\/2 - ((-31)\/2 - v). Solve 0 = -2*s - w + 4 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -484*o*z**3 + o*z**2 + 63*o*z + z**4 - 4*z wrt z.\nAnswer: -2904*o*z + 2*o + 12*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 1167018 to the power of 1\/3, to the nearest integer?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -489, -1374, -4, -16?\nAnswer: -489","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 463 and 3776691.\nAnswer: 463","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 556009 or 556005?\nAnswer: 556009","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*m = -2*m - 3. Suppose -m = -j + 1. Find the second derivative of d**2 - j*d**2 + 2*d**2 + d wrt d.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:47 AM and 6:47 PM?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of g**5 - 274206*g**4 + 386213*g.\nAnswer: 20*g**3 - 3290472*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, 2, 185 in decreasing order.\nAnswer: 185, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.5121 rounded to two dps?\nAnswer: 0.51","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0 in 5, -0.22, -3\/4, -6?\nAnswer: -0.22","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-3)\/(-17)*-6 + 1. Let t(s) = 123*s - 1718. Let r be t(14). What is the nearest to 0.2 in i, 0.4, r?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 119822?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 7477046 is divided by 70?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*w + 8*w = -125. Let z = w - -45. Let g = -295794 - -295848. Calculate the remainder when g is divided by z.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 3\/7, -2\/9, -0.17, -1\/3, -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*l + 2*j = 95 - 134, -55 + 4 = 6*l + 2*j + 3 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-259)\/(-777))\/(1\/(-1*39))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 18264173?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 163 - 3?\nAnswer: 160","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Round 25.51 to the nearest integer.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 95172144 + -446702144. Round f to the nearest 1000000.\nAnswer: -352000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1222.28 rounded to the nearest 10?\nAnswer: 1220","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:54 AM and 5:04 AM?\nAnswer: 130","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10*a - 2 = -112. Suppose -a*i = 5*i. Suppose i = -2*p + 89 + 91. What is the units digit of p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 45\/8 - 33\/8. Put 0, -2\/5, o, 1\/4 in decreasing order.\nAnswer: o, 1\/4, 0, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((v\/(v\/((v\/(v*v*v**5))\/v))*v)**(-1\/5))**(-10\/7) assuming v is positive.\nAnswer: v**(-12\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in 3.90812 weeks?\nAnswer: 2363630.976","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 32 + -18. Let q = p - 4. Let s be (1 + 37)*q\/(-80). Is -4 bigger than s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -385598 by 55.\nAnswer: -385598\/55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -1\/3 + -1\/6. Let w = 136\/203 - -431\/1218. Let d = 5\/14 - w. What is the nearest to 1\/3 in z, 3\/5, d?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of (2\/(-28))\/((-3)\/(-249)) and 3*1673\/(-1260) + (-2)\/(-5).\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 4 + (-10 - (1 + 8 - (-9 - -38)))?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -852 divided by 71?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 41 + -38. Suppose 88 + 62 = x*k. List the prime factors of k.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -17887\/42 - -3050\/7. What is the common denominator of -67\/6 and c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: -5481 times -3\nAnswer: 16443","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -24*l + 26*l + 3*y - 8294, 3*l = -5*y + 12440. Is l a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-699)\/(-1165)*(-10)\/72.\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -23335 (base 10) to base 4.\nAnswer: -11230213","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"}
{"text":"Question: Solve w = -w + h + 2, -4*w + 10 = h for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -53, -221, -501, -893?\nAnswer: -1397","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.55 and 0.02.\nAnswer: -0.011","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 13 a factor of 884?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*h + 9912 - 9806 = g, -4*g = -2*h - 46 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 388 minutes before 1:33 PM?\nAnswer: 7:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 128 minutes after 10:27 AM?\nAnswer: 12:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: 182*285\nAnswer: 51870","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let t(g) = -2*g + 3. What are the prime factors of t(0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*o = -c + 13355, 4*o + o + 4*c + 13330 = 0. Let p be (-6)\/(-14) + o\/(-42). Let g = p - 38. Is 24 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (2 - 203\/84) + (-7)\/(34 - 6).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -22 or -108\/5?\nAnswer: -108\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -20 + 32. Let r(v) = -v - 17. Let k be r(j). Does 16 divide -3 + (3 - k) + 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-1 - 0) + -3 + 1 + (5 - 5).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 40 a factor of 42854?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: -56 divided by -4\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(68)*-1*4*-4*6.\nAnswer: 192*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1363163759.\nAnswer: 19, 71745461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Factor -v**3\/4 + 23*v**2\/4 - 21*v\/2.\nAnswer: -v*(v - 21)*(v - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -109*k + 1 + 326 = 0. Solve -7 + 4 = -2*y - t, k*t - 9 = -4*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -0.10362 - -0.08362. Which is the smallest value?  (a) i  (b) 3  (c) 4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 910729 and 223317.\nAnswer: 919","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: -2.0145 * -0.1\nAnswer: 0.20145","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 490895?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 129879369 and 162?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*w + 1 = 4. Let s(d) = -64*d - 418. Let n be s(-3). What is the units digit of n*w*(-1)\/(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(g) = g**2 + 5*g. Suppose 8 = 4*z - 2*z. Let c be ((-14)\/6)\/(z\/12). Let f be n(c). Solve 5*l + 6 = -f for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -5*21\/245 + (-3)\/(-7).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 6\/51 + 94954\/(-40970).\nAnswer: -11\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*q - 9*k + 5*k = 16, 0 = 3*q + 2*k - 14. Solve 13 = -q*b + 9 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 22 and 1661.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(4356) - 2*sqrt(4356))\/((sqrt(72)\/sqrt(3))\/sqrt(2)))**2.\nAnswer: 363","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 926130?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 11 + -303121021001?\nAnswer: -303121020330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Work out -7 * 7.1.\nAnswer: -49.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 2\/13  (b) -898  (c) 5\/4  (d) -1\/3  (e) -1\/6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 82 and 12.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 5893236947 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-10 + 12)\/4 + -30*6\/(-24). Solve -n*b = -65*b + 456 for b.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 122479370?\nAnswer: 2, 5, 13, 23, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10 = 5*a, o + o = -5*a - 4. Let q(f) = -5*f**2 - f - 3*f**3 + 4*f**o + f**2 - f. Let m(g) = -4*g**3 + 13*g**2 + 7*g. What is 2*m(i) + 7*q(i)?\nAnswer: -i**3 - 2*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in 9182.794 nanometers?\nAnswer: 9.182794","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 6478 or 6477?\nAnswer: 6477","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 1004593 greater than 1004603?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let q(s) = -4*s**2 - 3. Let r(o) = 3*o**2 + o + 4. Let i(d) = 4*q(d) + 3*r(d). Let a(p) = -36*p**2 + 16*p. Give -3*a(z) + 16*i(z).\nAnswer: -4*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7 = l + 3*k, 0 = -5*l + 3*k + 35 + 18. What is the greatest common divisor of 15 and l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -0.6 + 4.6. Let r = 3.9 - u. Let q = -4 + 4.3. Which is the nearest to r?  (a) q  (b) 1\/3  (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {h: 2, j: 2, k: 9, p: 2, b: 2}. What is prob of sequence pj?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let t(w) = -w**3 - 7*w**2 + 4*w - 5. Let l(c) = -3*c**2 - 3*c - 3. Let i be l(-2). Is t(i) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-11 + 21*s - 30*s + 15*s)*(2 - 2*s - 2) - 31*s**2 + 20*s**2 - 38*s**2 as j*s**2 + m*s + a and give m.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 0.4 from -0.2117.\nAnswer: -0.6117","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 583 minutes before 7:20 AM?\nAnswer: 9:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 36549 a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 12 a factor of 18072?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 38\/73997 and 1\/6.\nAnswer: 443982","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 1916 - 1841. Let o(h) = -h**3 + 10*h**2 - 13*h + 4. Let n be o(7). What is the highest common divisor of n and u?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 1710, 1707, 1702, 1695, 1686?\nAnswer: 1675","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*u - 5*c + 29241 = 0, -5*u + 12*c - 14*c + 48735 = 0. What is the tens digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(r) = -r**2 + 7*r. Let k(l) = -3*l**2. Give z(k(i)).\nAnswer: -9*i**4 - 21*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: 20dc56 (base 14) to base 3\nAnswer: 2002120202221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 h when three letters picked without replacement from hhhhh.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -116*a - 6 + 6 + 118*a.\nAnswer: 2*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -608, -2115, -4530, -7859, -12108, -17283?\n\"Answer: -g**3 - 448*g**2 - 156*g - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -10345\/6 + 1713. Let q(z) = 528*z**2 + 7*z - 5. Let x be q(4). Let j = x + -84803\/10. Find the common denominator of j and v.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 22\/(-6) + 4\/6. Let q = -3 + 8. Suppose -4*k - q = k. Sort 4, r, k in ascending order.\nAnswer: r, k, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 1101 + -444. Suppose -195 = -4*a + b. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(z) = 4*z - 2. Let t(a) = -2*a + 1. Suppose 5 + 22 = 3*f. Suppose 3*o = -l + 3 - 0, -5*l - f = 3*o. What is l*b(n) - 5*t(n)?\nAnswer: -2*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let b(q) be the second derivative of 1\/3*q**4 - 29*q**2 - 21*q + 0 + 7\/6*q**3. Let j be b(-10). What is the highest common factor of j and 34?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 6\/156 - 2835\/(-8424). What is the smallest value in a, 9\/7, 5?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -4, -1\/2, -3, -261, -0.35?\nAnswer: -0.35","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let q(t) = 5*t**3 - 6*t**2 - t + 21. Determine q(3).\nAnswer: 99","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -20076, -40324, -60572, -80820?\nAnswer: -101068","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 446446 to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let x(y) = -28*y + 62. Let r(n) = 10*n - 21. Let m(g) = -17*r(g) - 6*x(g). Give m(-9).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3740 divided by -5.\nAnswer: -748","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 52 a factor of 1518608?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 83912*t**3 - 2*t**2 - 1708.\nAnswer: 503472","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 3*r**3 - 9*r**2 + 4491*r + 141123.\nAnswer: 9*r**2 - 18*r + 4491","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Convert -6158 (base 13) to base 9.\nAnswer: -20365","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence kki when three letters picked without replacement from {k: 3, i: 4}.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 1 - -1. Let q = -822 - -819. Let v be (18 + q)*(-38)\/(-95). Solve k*o - 5*w + 0 = 13, 0 = o - 2*w - v for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -d**2*f*m - 2*d**2*m*u + 4*d*f*m*u**2 + 4*d*m*u**2 - 81*f*u**2 + 10*m*u**2 with respect to f.\nAnswer: -d**2*m + 4*d*m*u**2 - 81*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let z(h) = 15 - 7 - 8 + 28*h**2 - 2*h. Let v(c) = 3*c**2 + 129369 - 129369. What is z(v(x))?\nAnswer: 252*x**4 - 6*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 1086438 and 4644.\nAnswer: 258","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 16 a factor of 784?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 40*n**2 + 13*n**2 + 34*n**2 - 138*n**3 + 29*n**2 + 4*n - 118*n**2 to b*n**3 + r*n + m*n**2 + y and give b.\nAnswer: -138","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-83)\/(-20252))\/(1*9\/(-216)*6)?\nAnswer: -1\/61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -33*z - 40*z = 73 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in one sixteenth of a meter?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: -2 + 1 - (-2 - (9 - 9))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 23 - -1?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let m be ((-1)\/(-6))\/(-1)*4. Let j = -7\/20 + 1\/10. Let f be 20\/(-72) - ((-28)\/(-8))\/(-7). Which is the nearest to 0?  (a) f  (b) m  (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 7\/10?  (a) 5  (b) -4\/11  (c) 3  (d) -3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand -g**5 - g**5 + 4*g**5 + (-3 + 2*g**2 + 3)*(-5*g**3 + 0 + 0) + 2*g**5 - 2*g**5 - 2*g**5 + 72*g**5 - 209*g**5 - 64*g**5 + 5*g**5 - 8*g**3 + 8*g**3.\nAnswer: -206*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -20  (b) 1.7  (c) 0.1  (d) -0.4  (e) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {w: 3, d: 2, u: 4, b: 2, x: 1, q: 2}. What is prob of sequence qbuw?\nAnswer: 2\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let b(w) = -3*w**2 - 20*w - 8. Let v be b(-6). Solve 7*h = -5*k + v*h + 19, 4*h + 13 = k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 51 minutes after 7:09 AM?\nAnswer: 8:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let k(g) = -g**2 - 8*g - 19. Let z be k(-4). Sort 1, 2, -1, z.\nAnswer: z, -1, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -6240 (base 7) to base 3.\nAnswer: -2222220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 241 + -151. What is the highest common divisor of n and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 4 + -3 + 20\/2. Let b = h - 2. Is (201\/b)\/((-2)\/(-6)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -306 and 0.08?\nAnswer: 306.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (3\/((-9)\/(-6)))\/((-9)\/(-63)). Let j be (-326)\/14 + (-4)\/(-14). Let b = j - -37. Calculate the highest common divisor of q and b.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 10\/4 - ((-8932)\/2255 + 7). Let x = -8\/205 - z. Which is the closest to 0.1?  (a) -3\/4  (b) x  (c) -1\/2  (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-8)\/(5 - (12 + -5)). Let u(j) be the third derivative of 0 - g*j**2 - 1\/20*j**5 + 0*j**3 + 0*j + 1\/6*j**4. Find the second derivative of u(x) wrt x.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -31842 - -38022. Is 23 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 9776 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 3?  (a) -1  (b) -2\/9  (c) -4  (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3474 = -11*v - 7*v. Which is bigger: -192 or v?\nAnswer: -192","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(t) = 23*t. Let x(h) = -5*h + 5*h + h. Determine o(x(p)).\nAnswer: 23*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence sh when two letters picked without replacement from yyeyyeseyhe.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let h(a) = 6*a. Let v(l) be the third derivative of 0*l**3 - 1\/12*l**4 + 0*l + 2*l**2 + 0. Determine v(h(q)).\nAnswer: -12*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*h - 255 = -5*h. Let y = 89 - h. What is the units digit of (-1)\/(y\/(-725)) - 2\/8?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 18 - 23. Let k = -5.2 - x. Let f be (-3 + (2 - 1))*1*-30. Which is smaller: k or f?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-3)\/(-3)*(-17)\/((-136)\/(-48)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 u and 1 d when two letters picked without replacement from cfuucuccdfffffuddd?\nAnswer: 16\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 5\/(-3)*(462\/(-10) + (4 - (128 + -142))).\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Put -2, -4\/3, 1191\/23, 2, 2\/3 in descending order.\nAnswer: 1191\/23, 2, 2\/3, -4\/3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (2\/(-12))\/((-11)\/264).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many centuries are there in 182.07393 months?\nAnswer: 0.151728275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 6480, 25440, 57044, 101298, 158208, 227780, 310020, 404934?\n\"Answer: c**3 + 6316*c**2 + 5*c + 158","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -s + 2*s + 80. Let b be (2403 - 3)\/(4\/s). What is b rounded to the nearest 10000?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -164*b + 189144 = 49*b. Calculate the lowest common multiple of b and 12.\nAnswer: 888","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be -1*(4 + 2)\/(-2). Let q be -4 + 5\/(5\/(-2)). Let n be 12\/r + -3 + q. Sort n, 0, -2 in increasing order.\nAnswer: n, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(d) = -d**4 + d**2. Let b(j) = -4*j**6 - 4*j**4 - 3*j**2. Let v(u) = -b(u) + 4*k(u). Find the third derivative of v(z) wrt z.\nAnswer: 480*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 298*i + 302*i - 585*i.\nAnswer: 15*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Factor c**3\/3 - 234*c**2 - 4320*c.\nAnswer: c*(c - 720)*(c + 18)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-17)\/26 - 1\/(-2). Let c = 26683\/19 - 79973\/57. Sort y, c, 0.078.\nAnswer: y, 0.078, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -206*s + 213*s - 140. Let b(c) = -c**3 + 20*c**2 + 17*c + 52. Is b(s) a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1026*w**2 - 5*w + 1384*w**2 + 5 - 5.\nAnswer: 358*w**2 - 5*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 e, 1 l, and 1 t when four letters picked without replacement from llitielllliiiilelni?\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 16, 74, 170, 304, 476, 686?\nAnswer: 934","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -8199973*b*f**3*w + 66*b*f*w + b + 566*f**2*w + 6*f wrt f?\nAnswer: -49199838*b*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 10 + -13 - (-1 + 4 + -5)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 32592, 34699, 36818, 38955, 41116, 43307, 45534?\n\"Answer: q**3 + 2100*q + 30491","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*y**3\/3 + 1345028*y**2\/3 + 2241730*y = 0. What is y?\nAnswer: -5, 0, 672519","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 4\/7, -0.6, -402\/13, -6?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 36*b**2*q**3 + 21*b**2*q**2 + 11988*b**2*q + 5*b*q**3 - 12716*b*q - b - 75*q**3 wrt b?\nAnswer: 72*q**3 + 42*q**2 + 23976*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1808?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let v(l) = 21*l - 4. Let c be v(2). Suppose 0 = 4*r + 163 - 55. Let w = c + r. Solve 0 = -3*q + q - d - w, d = 5*q + 17 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(v) = v**3 - 11*v**2 - 6*v + 91. Let c be p(11). Suppose -4*w = -a - 18, 0*w - 3*w + c = 5*a. Solve 0 = 4*l - 4*u + 12, w*l = 5*u - u - 12 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -0.65728 and 0.0206?\nAnswer: 0.67788","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 49 + -37. Which is smaller: c or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 257297869 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let m(y) = 1372*y + 100184. Determine m(-73).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: 2 divided by -670\nAnswer: -1\/335","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 11756529 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*a + 3*m - 39 = a, 5*a + 3*m = -51. Let j = a + 6. List the prime factors of 8\/24 + (-26)\/j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-12 - -11 - (0 - -1)) + 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m(s) = -23*s - 24. Give m(-1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let b(x) = 83*x + 27. Calculate b(-4).\nAnswer: -305","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1\/9, 2\/11, -5\/2, 1, -2, 24.89.\nAnswer: -5\/2, -2, 1\/9, 2\/11, 1, 24.89","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Factor -y**2\/5 - 307656*y\/5 - 23663053584\/5.\nAnswer: -(y + 153828)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 164337*x**3 - 82172*x**3 - 82166*x**3.\nAnswer: -x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let p(b) = 3*b**3 + 21*b**2 + 5*b + 6. Let m(v) = -5*v**3 - 21*v**2 - 6*v - 7. What is -2*m(x) - 3*p(x)?\nAnswer: x**3 - 21*x**2 - 3*x - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 30210 - 1?\nAnswer: 30203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*u = 2*h + 16, 5*h - 14*u + 18*u + 23 = 0 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let s(r) = -11*r**2 + 53*r - 36. Let n be s(4). Which is greater: 35\/146 or n?\nAnswer: 35\/146","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 32810761?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let j(b) = 3*b**2 + 2*b - 2. Let z(p) = -9*p + 0 + 16*p + 3 - 10*p - 3*p**2. Let l be ((-2)\/4)\/((-2)\/8). Let d(w) = l*z(w) + 3*j(w). Let d(m) = 0. Calculate m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 162*s**5 - 3*s**4 + s**3 - 373181*s**2?\nAnswer: 9720*s**2 - 72*s + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 635 is divided by 207?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -1 - -2.1. Let q = j - 1.26. Let o = 7450 - 7449.7. What is the second biggest value in -0.5, o, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(s) = s. Let q(y) be the second derivative of -7\/2*y**4 + 0*y**2 + 0*y**3 + 0 + 14*y. Determine o(q(l)).\nAnswer: -42*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 3768 times -5?\nAnswer: -18840","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 75767?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let x(f) = 3*f**3 + 13*f - 24. Let d(p) = -8*p**3 - 38*p + 71. Let t(y) = 6*d(y) + 17*x(y). What is the hundreds digit of t(6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 346*j = 130*j - 536*j + 137616. Suppose 0 = -p + d + 61, 4*d = -p - 0*p + 71. What is the remainder when j is divided by p?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 2*a**4 - 9239*a**2 - 160*a - 20107387?\nAnswer: 8*a**3 - 18478*a - 160","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let k(v) = -v**2 - 11*v + 15. Let l be k(-12). Let h(s) be the first derivative of -30*s + 2*s**l - 22*s + 59*s - 13. Differentiate h(i) with respect to i.\nAnswer: 12*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -16 = 496*d - 498*d for d.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 22 a factor of 14850?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is x in -x**3\/5 - 284504*x**2\/5 - 1138004*x\/5 - 227600 = 0?\nAnswer: -284500, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let f(p) be the first derivative of -p**2\/2 + 17*p - 184. Let x(j) = j**3 + 3*j**2 - 3*j - 2. Let y be x(-2). Determine f(y).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1 + -3 + 4 + 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v(m) = -622*m + 32352. Determine v(52).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Convert -10023020033 (base 4) to base 5.\nAnswer: -240003114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 10\/(-4)*-2 - 2. Which is the third biggest value?  (a) u  (b) -0.5  (c) -5\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1 + ((6*(sqrt(132) - (sqrt(132) + -2*sqrt(132))) + 1*sqrt(132)*3)\/(-2*sqrt(275) + sqrt(1331)*1))**2.\nAnswer: 2701","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is -590322 >= -590316?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-1)\/2 - 2\/4. What is the common denominator of b\/(-2) - (3 - -43) and 74\/9?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 16 divided by -145.\nAnswer: -16\/145","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Round 55473167900 to the nearest 1000000.\nAnswer: 55473000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-4)\/(-14) + (-237)\/21. Let h be 1 - -1 - (-2 + 24). Let k = o - h. List the prime factors of k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 0*s**2 + 3*s**2 - 5*s**2 + (-4*s + 6*s + 2*s)*(2 - 2 + 5*s)*(3 - 4 + 3) as y*s**2 + j*s + h and give y.\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 643 minutes after 4:08 PM?\nAnswer: 2:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 1498 + -1314. What is the highest common divisor of x and 874?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -36.8 - -37.8. Let x(u) = 5*u + 3. Let m(p) = -10*p - 5. Let d(z) = -4*m(z) - 7*x(z). Let h be d(-1). Put h, -5, n in decreasing order.\nAnswer: n, -5, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 2549 - -2301. Is 97 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (203 + 43 - 67)*((2 - 2 - 2)*(-3*v + 3*v - 5*v)*(-5 + 4 + 3) + 2*v - 3*v - v) in the form c*v + y and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let r(t) = t**2 + 14*t + 15. Let b(f) = -14*f**3 - 2*f**2 + 2*f. Let x be b(1). What is the smallest common multiple of r(x) and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -515, -521, -539, -575, -635, -725, -851?\nAnswer: -1019","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*l - 3*l - 3*x = -7, 2*l + 2*x = 10. Suppose -4*m = 4, 0*m - l*m = 3*d + 4. Solve -2*f - 5*f + 21 = d for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 541109582?\nAnswer: 2, 13, 20811907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 1453 - 42742?\nAnswer: -41289","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 4.268 - -8.732. What is the third biggest value in 0.1, -4\/5, b?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*k**2 + 7 + 0*k**2 - 8 - k)*(25118 - 51004 + 23420).\nAnswer: 7398*k**2 + 2466*k + 2466","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 244832 to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*d + 500 = 5*z - 277, 5*z - 771 = 4*d. Solve -z*c = -150*c + 30 for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*m - 6*m. Let l be (m - 0 - 2) + -40. Let s = l + 85. Does 23 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.07, 1\/6, -2, -1, 2 in descending order.\nAnswer: 2, 1\/6, -0.07, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let r(v) be the first derivative of 1\/3*v**3 - 1\/12*v**4 - 10*v - 3\/2*v**2 - 1. Let a(n) be the first derivative of r(n). Let m(z) = 1. Determine a(l) + 4*m(l).\nAnswer: -l**2 + 2*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 35\/412 and 5 + (554*4\/(-160) - -7).\nAnswer: 2060","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify f\/f**(-1\/6)*f*f*f\/f**(-20)*f*f**(-6\/13)\/(f*f\/f**(1\/19)*f) assuming f is positive.\nAnswer: f**(32245\/1482)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -66 = 14*m - 10 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is -18 - (29 + (18 - 26)) - -29?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d(v) = -7*v**3 + 5*v**2 - 7*v + 2. Suppose 0 = -5*k - 6*k - 66. Let p(y) = 8*y**3 - 6*y**2 + 8*y - 2. Give k*d(j) - 5*p(j).\nAnswer: 2*j**3 + 2*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is (-1782)\/(-405) - 3\/(15\/2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -9 + 21. Let s = -11 - -23. What is the highest common factor of s and u?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(v) = -3*v. Let q(i) = -2*i**3 + 223*i**2 + 6*i. Give -3*p(z) - q(z).\nAnswer: 2*z**3 - 223*z**2 + 3*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let i(g) = 14*g + 30. Let y be i(-2). Suppose 1 = -r - b - y, 4*r = 3*b + 9. Solve -4*v + 18 - 26 = r for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 501 minutes before 10:17 PM?\nAnswer: 1:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 567014 to the nearest integer?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 986 less than 1?\nAnswer: -985","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.067 times -0.3?\nAnswer: -0.0201","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: (-4)\/(-6) + (18972\/594)\/(-31)\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*q - 4*q + 8. Suppose 120 = -k + q*k. Does 20 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((g*g\/(g**(1\/3)*g)*g)**(1\/30))**(1\/59) assuming g is positive.\nAnswer: g**(1\/1062)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 19831973?\nAnswer: 7, 2833139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:39 AM and 2:10 PM?\nAnswer: 331","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -175*l = -172*l - 15 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*n - 10*n + 71435 + 62773. What is the tens digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -1, -4, -7?\n\"Answer: -3*d + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 30 + s**2 + 4 - 2*s**2 to d + a*s + f*s**2 and give d.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence hn when two letters picked without replacement from nnntthtngh.\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 12654510 a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -8266976 or -8266978?\nAnswer: -8266976","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 (base 16) in base 2?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -40 = 2*m - 4*m. Let z be (-1 - 1)*(-4)\/m. Let o be (0\/(-1))\/(-1 - -2). Which is smaller: o or z?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(h) be the first derivative of -8*h**7\/7 + 4*h**3\/3 + 2*h**2 - 2. What is the third derivative of u(s) wrt s?\nAnswer: -960*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be ((-6)\/8)\/((-2)\/(-8)). Let r(s) = 10*s - 20. Let c be (8 + 12)*(-116)\/145. Let j(d) = -2*d + 4. Calculate c*j(l) + i*r(l).\nAnswer: 2*l - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 0 + -2c4?\nAnswer: -2c4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -296300\/37 or -8007?\nAnswer: -296300\/37","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 7*t**2 + 2614*t - 2614*t.\nAnswer: 7*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 31, 168, 377, 652, 987?\nAnswer: 1376","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 9 a factor of 24974?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Does 52 divide 936?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 21418035503 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let d(a) = 3*a + 22. Calculate the smallest common multiple of 8 and d(0).\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -3 + 15 + 2 - 14?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*m + 11*m - 60 = 0. Find the third derivative of 1061*t**2 - 2*t**3 + 7*t**6 - 993*t**2 + m*t**3 wrt t.\nAnswer: 840*t**3 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -5 - -3. Let h be (0 - 0)\/((-1)\/1). Let g be (40 + h)*(-1)\/y. Solve -3*k + d - 5 = 0, 0 = 3*k + 2*d + 2*d - g for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*k + k - 294 = -5*u - 199, 0 = 4*u - 84 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (119\/(-51))\/((-2)\/6). Suppose -z + o = -y, 0 = 2*z - 3*y - y - 24. Suppose -z*q + 75 = 71. Which is the nearest to 2?  (a) -4  (b) 5  (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(r) = -r**3 + 21*r**2 + 28*r - 12. Let b be l(22). Let h be (4\/(-10))\/((-12)\/b). What are the prime factors of 2\/(h\/(-9))*(23 - 29)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -8022 - -7968. Put -0.03, 2\/5, m in decreasing order.\nAnswer: 2\/5, -0.03, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -48*z**3 + 49*z**3 - 3*z**3.\nAnswer: -2*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-1416)\/(-10) - (-33)\/(-55). Suppose -o - 2*o + 246 = 0. Let d = l - o. Is 11 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 54861536, 109723071, 164584606, 219446141, 274307676, 329169211?\nAnswer: 384030746","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5*q**3 + 2*q**3 + q**3)*(56 - 51*q - 56)*(3 + 1 + 2).\nAnswer: 612*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let k(h) = 3*h**2 + 4 + 13*h + 4 - 2*h**2. Let g(l) = -2*l**2 - 7*l + 1. Let o be g(-5). Let c be k(o). Are c and 23 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-1)\/(-1) - 4 - (94 + -97).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in s**2 + s**2 - s**2 - 55.\nAnswer: s**2 - 55","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let i(s) = 2*s**2 + 7*s - 2. Let r be (2 + -14)*(-2)\/(-4). Let n(w) = -40*w + 29*w + 26*w + 4*w**2 - 4. Give r*n(o) + 13*i(o).\nAnswer: 2*o**2 + o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence pgz when three letters picked without replacement from {z: 1, p: 1, g: 3}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 10714938?\nAnswer: 2, 3, 13, 10567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*n = -m - n, 0 = -4*m - 2*n + 14. Suppose -x + b + 16 = -0*x, -m*b = -5*x + 76. List the prime factors of x.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 18703, 37247, 55791, 74335?\nAnswer: 92879","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 647107064 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 24 - 6. Let j = -62 + 25. Let r = j + 64. Calculate the highest common divisor of t and r.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00207978699 rounded to three decimal places?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, -1\/5, 2, 0.36.\nAnswer: -1\/5, 0, 0.36, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 10546?\nAnswer: 2, 5273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -14*p - 7*p = -21 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 139*g - 23*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 4530?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (13*-1)\/((-4)\/4). Let l = 18 - k. Suppose l*j - r = 49, -5*r + 4 = -4*j + 39. What are the prime factors of j?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 8\/(32\/60) + -6. Calculate the highest common factor of x and 90.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-1616)\/(-12120))\/(2*-6)*-2\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 10390*l**2 - 24288*l**2 + 6961*l**2 + 6942*l**2.\nAnswer: 5*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -a = 2*h - 106, h + 3*h + 3*a = 216. Is 52 at least as big as h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*r + 33*r**2 + 3*r - r + 3 - 3 - 4*r**2 + (-5 + 4*r + 5)*(-5*r + 4*r - r).\nAnswer: 21*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from nvveemvenne. What is prob of sequence vnm?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 divided by -1049?\nAnswer: -1\/1049","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let r(g) = -32*g**2. Let t(n) be the second derivative of 95*n**3\/2 + 6420*n. What is r(t(z))?\nAnswer: -2599200*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2 in 6\/11, -2, 3, 0?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(468) + (sqrt(468) + -2 + sqrt(468) + 4)**2 + (-2*(-1*sqrt(468) + sqrt(468)))**2.\nAnswer: 54*sqrt(13) + 1876","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -x = 2*x - 12, -168*y + 174*y + 131*x - 566 = 0 for y.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 21  (b) 1  (c) -3\/16\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0*o + o - 22 + 22.\nAnswer: o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 334685951 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 s and 1 b when two letters picked without replacement from spsspsabsbsa?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -4132 - -5923. What are the prime factors of x?\nAnswer: 3, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be -1 + (0 - 0) + 16. Let p be 2\/(-44)*183830\/u. Let m = -557 - p. Which is bigger: 0 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 44186775.\nAnswer: 3, 5, 353, 1669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 1760.5 - 1775. Let k = 17.9 - 2.9. Let f = k + t. What is the smallest value in 2, f, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 0 at most as big as -2\/5793?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let s(k) = -91*k + 593. Calculate s(5).\nAnswer: 138","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*j**2 + 386956*j - 386954 = 0 for j.\nAnswer: 1, 193477","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -3  (b) -4906  (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 434 and 266.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Divide -7498515 by 1.\nAnswer: -7498515","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 30047*p + 46760 wrt p?\nAnswer: 30047","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -4 - -3.94. Let p = 4.9401 - 0.0001. Let a = l - p. Sort 3, 1, a.\nAnswer: a, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (1 - 1)\/(-4)*1. Which is greater: t or -1?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(v) = -14*v - 5 - 3 + 13*v. Let z(d) = d**2 - d + 1. Let b(q) = r(q) + z(q). What is b(5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 0.1969 + -0.196901939. What is p rounded to seven decimal places?\nAnswer: -0.0000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -283, -1202, -2771, -5008, -7931, -11558, -15907?\nAnswer: -20996","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 99 + -49 - (109 - 66)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 b, 2 z, and 1 q when four letters picked without replacement from bqzqqqzb.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let u(c) = -18*c**4 + 8*c**3 + 5*c**2 + 5. Let s(g) = 116*g**4 - 52*g**3 - 32*g**2 - 32. Let x(i) = -5*s(i) - 32*u(i). Solve x(b) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 58425 to the nearest integer?\nAnswer: 242","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -118425480*c*n**3 + 2*c*n**2 + 2802*c*n + 98*c - 3*n**2 - 2 wrt n.\nAnswer: -710552880*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 5693642 is divided by 237.\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 470 a factor of 36791521?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -29*d = -13*d. Solve d = -8*i + 25 - 41 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -8\/15 - -13\/15. Sort 4, -2\/3, y.\nAnswer: -2\/3, y, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence nnnf when four letters picked without replacement from {b: 1, n: 3, f: 2, g: 3, j: 6}.\nAnswer: 1\/2730","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -56*z - 242 = 94 for z.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -91, -92, -101, -124, -167, -236, -337?\nAnswer: -476","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 115.4 rounded to the nearest 10?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 2292 - 2294. Which is smaller: -16.32 or w?\nAnswer: -16.32","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 7 + -10. Let t = -7 - d. Let b be (-16 + -12)*1\/t. Solve w + 3*c - b - 10 = 0, -4*c = 5*w - 30 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -57.52 * -44.\nAnswer: 2530.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -11059*x**4 + 6024 wrt x.\nAnswer: -44236*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from rrhthhhth. What is prob of sequence rtt?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4 + -2*sqrt(117) + sqrt(13) + (-2*sqrt(1872) - sqrt(13)) - (2*sqrt(117)\/sqrt(3))\/(sqrt(48)*-1))**2.\nAnswer: 236*sqrt(13) + 45317\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 15349 + -3980. What is the units digit of s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -826068, -1652114, -2478160?\nAnswer: -3304206","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 2\/(-5)*100\/(-80) - 0.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -17808 (base 12) to base 11.\nAnswer: -235a2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -s = 7*s - 40. Suppose -s*u - 5*p = 70, 5*u + 40 + 39 = -2*p. Which is the nearest to 0.3?  (a) -3  (b) u  (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3 + -2 + (-2*sqrt(475) - sqrt(475)) + -4)*-3 + 0.\nAnswer: 9 + 45*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1931243 + 1931243 - 2*f.\nAnswer: -2*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Does 1253 divide 1663984?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Express a**3 - 4 + 21*a - 2*a**4 + 20*a - 42*a as k + i*a**2 + w*a**4 + f*a**3 + x*a and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is ((69\/(-120))\/23*-8)\/(-5*4\/260)?\nAnswer: -13\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 57315 minus -13223?\nAnswer: 70538","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -84 + 88. Suppose -i*o = 3*c - 10, o + 45 = 3*c + c. Let x be c\/(-30) + (-22)\/(-3) + 0. Do x and 11\/2 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 3 * -110.7.\nAnswer: -332.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is -5 divided by 1480?\nAnswer: -1\/296","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 2687 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let v(l) be the first derivative of l**5\/20 + 5*l**4\/6 + 5*l**3\/2 + 4*l**2 - 19*l - 4. Let x(y) be the first derivative of v(y). Does 10 divide x(-7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -12.1 - -99.1. Let i = 68.4 - q. What is i rounded to the nearest 10?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3458349 is divided by 75.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -1, -1, -49, -181, -433?\nAnswer: -841","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is (87 - 33432\/392)\/(6\/(-224))?\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is (1 + -2 - 1040)*6\/(-9) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ofom when four letters picked without replacement from oofm.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 11, -5, -39, -97, -185?\n\"Answer: -r**3 - 3*r**2 + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 15897618.\nAnswer: 2, 3, 11, 17, 4723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -184275*o**6 + 4*o**2 - 30*o + 39?\nAnswer: -22113000*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3457 is divided by 1286.\nAnswer: 885","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(88)\/(sqrt(32) - sqrt(512)))**2 + 6*(sqrt(44)*2)**2.\nAnswer: 38027\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from lhflpppphfhppjjf. Give prob of sequence jh.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let r be ((-24)\/18)\/((-20)\/15). Suppose 2*v - 4*d - 30 = 0, 4*v - 6*v - d + 50 = 0. Solve 24*n = v*n + r for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-135)\/(-30)*(-2)\/15*(-20)\/42?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -1.662 + 958.662. Let m = p + -957.4. Let a = 0 - 0.1. Are m and a equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 29423 by -244.\nAnswer: -29423\/244","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -27.2 - -26.7. Which is the nearest to 0?  (a) 2\/9  (b) i  (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -99561\/4 or -24889?\nAnswer: -24889","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let t(k) be the second derivative of 1\/12*k**3 - 1\/40*k**5 + 0 - 1\/4*k**2 + 3*k + 1\/24*k**4. Find v, given that t(v) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*r**2 - 23\/3*r - 1\/9*r**3 + 52\/9 = 0. Calculate r.\nAnswer: 1, 4, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 65179, 65180, 65181?\n\"Answer: d + 65178","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 132*h - 240*h + 114*h.\nAnswer: 6*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 143 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 36207 a multiple of 131?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 145 - 87. List the prime factors of i.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -5 - (8 - (13 + 6)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*q - 15 = -5*q. Suppose x = -q*x + 24. Let h(p) = 9*p**2 - 4*p + 7. Is h(x) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(c) = 13*c - 15. Let z(o) = -7*o + 8. Determine 6*l(t) + 11*z(t).\nAnswer: t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 4870519656?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*i = 4*n - 20, -275*n = -275*n + 3*i for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Put 2\/11, -0.2, -5 in ascending order.\nAnswer: -5, -0.2, 2\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 68858014\/15 or 4590533?\nAnswer: 68858014\/15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let l(i) = 11*i - 17. Let w(g) = 4*g - 6. Let q be ((-3)\/5)\/(14\/140). What is q*l(y) + 17*w(y)?\nAnswer: 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 4533 is divided by 72?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, -4, 35, -9, -59.\nAnswer: -59, -9, -4, 5, 35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 175549631 a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 277 minutes before 7:31 AM?\nAnswer: 2:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 0.23 - 0.53. Which is the third smallest value?  (a) k  (b) 4  (c) -9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 98319437300 to the nearest 1000000.\nAnswer: 98319000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 3 - -28. Suppose -16*a = -17*a + m. What are the prime factors of a?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (2*-6)\/(-4)*(-14)\/(-6). Is i not equal to 58\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 0.001 + 0.499. Let s = 7 + -11. Which is the nearest to 4?  (a) d  (b) 0  (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*s + 43 = 35 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1294024 is divided by 415?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.5082432309 rounded to one decimal place?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 j when two letters picked without replacement from {j: 7, d: 7}.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 255503 + 225?\nAnswer: 300132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from lnllnnllln. Give prob of picking 1 l and 2 n.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*t - 55 = -3*o + 7*t, 0 = -3*o - 3*t + 48. Calculate the greatest common divisor of o and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -j + 2*i - 8, 4*j + 4 - 2 = 2*i for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Does 347 divide 10450261?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -g + v = 5*v - 17, 3*g - 35 = -4*v. Let b be ((-2)\/(-3))\/(2374\/474 - 5). Suppose -4*u = b - 95. Solve u*n - 7 = g for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(k) = -5*k + 8. Let z be g(4). Let o be (-91)\/26*z\/7. Solve o*w - 10 = 4*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.163734 and -3682.\nAnswer: -602.868588","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let j(q) = 25*q - 14 - 28*q - 10 - 4 - 10*q. What is j(-8)?\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 22211120 + 1013?\nAnswer: 22212133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -35, -133, -293, -515, -799, -1145?\n\"Answer: -31*q**2 - 5*q + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -0.43 - -13.93. Let d = b - 14. Sort 0.5, d, -0.4.\nAnswer: d, -0.4, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -0.6 - -0.2. Let q = -536\/7 + 76. Which is the smallest value?  (a) q  (b) -1  (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 39822 is divided by 9948?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -16 + 10. Let o(l) = -l**2 - 9*l - 15. Let s be o(q). Let p be s + -5 + (-9)\/(-3). What is the greatest common factor of p and 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*o + 9 + 0 = 0. Is (o - -2)\/((-1)\/1887) - -2 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 12964.\nAnswer: 2, 7, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15*m - 7*m - 88 = 0. Let x = -2 + -3. Let b = m + x. What are the prime factors of b?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -j + 2*j**3 + 2 + 1 - 6 + 3*j as k + o*j + x*j**2 + y*j**3 and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*p - 92 = -4*y - 7, -2*y + 47 = 3*p. Let n(i) = 3*i - 62. Let d be n(y). Calculate the greatest common divisor of 4 and d.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 115975*k*r - 247826*k wrt r?\nAnswer: 115975*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is -568826 bigger than -568667?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1183 is divided by 128.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let g(v) = -v**3 - v**2 + 2*v - 4. Let b be g(-2). Let z(s) = -s**2 + 13*s - 19. Suppose -9*n + 3*n = -66. Let o be z(n). Put o, 1, b in ascending order.\nAnswer: b, 1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-648)\/(-27))\/192*(-24)\/22?\nAnswer: -3\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 143931888 to the power of 1\/5, to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Put 7, 1, -5 in increasing order.\nAnswer: -5, 1, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 180678 is divided by 6218.\nAnswer: 356","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 1442548187 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: 14\/(-35)*(-4)\/6*3\/4\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p(k) = -k**2 - 7*k - 6. Let g be p(-6). Solve -2 + 1 = c - 2*m, g = c - 3*m - 1 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*n - t = 1, 0 = -3*t - 1 - 2. Let u(m) be the first derivative of m**3\/6 - 5*m**2\/2 + 5*m - 6. Let k(g) be the first derivative of u(g). What is k(n)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 8101 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Does 18 divide 234?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 34.189887211 and -8?\nAnswer: 42.189887211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.3 in 4\/13, 3, 3\/2?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let k be -4 - (-3*1 - (-10 - -17)). Suppose -k - 34 = -10*q. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 79039425?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 172*h*v**3*x**3 - 7*h*v**2*x**2 - 8*v**2 - v*x**3 wrt v?\nAnswer: 1032*h*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: How many days are there in 1496.69073ns?\nAnswer: 0.000000000017322809375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 47 - (-22 - (-14 + -25))?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*g - 4 - 14 = 3*r, 2*r = -2*g + 12. Solve -y - y = g for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -3, 742, 2\/9?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let j(s) be the third derivative of -59*s**2 + 5\/24*s**4 - 5\/12*s**3 + 0 + 7\/24*s**5 + 0*s + 1\/12*s**6. Solve j(v) = 0.\nAnswer: -1, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 38 a factor of 70250969?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 360 minutes after 7:09 PM?\nAnswer: 1:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let s(v) = 158*v - 2464. Does 26 divide s(75)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (3\/(-4))\/(20\/16).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 8, -21, -100, -253, -504, -877, -1396, -2085?\n\"Answer: -4*r**3 - r**2 + 2*r + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 337*h**2*k*u**2*y - 149*h**2*k*u*y + 2*h*k*u*y + 4*k*u**2 - 3*k*u - 4*u**2*y - 7*u**2 + y wrt h?\nAnswer: 674*k*u**2*y - 298*k*u*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 0.152 or -2?\nAnswer: 0.152","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-1)\/(-2) + 2\/(-4). Suppose -h - 2*o + 3*o - 4 = a, 0 = -3*h - 5*o + 12. List the prime factors of (-26)\/(-6) - h\/(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-d + 2*d + d + 0 + d + 0 + (-2*d + 3 - 3)*(-1 + 4 - 5) + d - 3*d + d)*(-2*d - 4*d + 4*d) - 33*d**2 - 15*d**2 + 16*d**2.\nAnswer: -44*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -63\/9265880 and 109\/5356.\nAnswer: 9265880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*w - 3*s - 42 = -w, 2*w - 30 = 3*s. Let n(a) = 2058*a + 12414. Calculate the lowest common multiple of n(-6) and w.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:36 PM and 4:52 AM?\nAnswer: 556","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Sort -78, 11, 9 in descending order.\nAnswer: 11, 9, -78","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.1008 to 2 dps.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3920*n - 2467*n - 4297*n.\nAnswer: -10684*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: -604526 - -0.34\nAnswer: -604525.66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*y**4\/7 - 1132*y**3\/7 + 35600*y**2\/7 - 186384*y\/7 - 74880 = 0 for y.\nAnswer: -312, -2, 10, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-903)\/297 - (-8)\/(-44). Let w = 893\/90 + b. Calculate the common denominator of 11\/(1 + 0 + -5) and w.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -162*h**4 + 48442*h**3 - 287450*h**2 + 434262*h - 10548 = 0. Calculate h.\nAnswer: 2\/81, 3, 293","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.7, -2\/5, -253384, 5, 0.5 in decreasing order.\nAnswer: 5, 0.5, -2\/5, -0.7, -253384","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-14)\/(-6))\/(140\/(-56)*322\/(-15870))?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: (-60)\/30*(-68)\/(-8) - 7\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -2*l**4 + 3048*l**3 + 6*l**2 - 45*l - 4 wrt l.\nAnswer: -48*l + 18288","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let f(i) = 33*i**2 - 21*i - 39. What are the prime factors of f(-7)?\nAnswer: 3, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: 3 divided by 6874095\nAnswer: 1\/2291365","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 813*p + 16720 = 68752 for p.\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -46*d + 94*d = 722*d - 2022 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-16)\/3*(-566 - (13 - 3)). Suppose a = 4*s - 528. What are the prime factors of s?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*p = -l + 4, 4*l - 16 = -2*p - 0*p. Let b(x) = 3*x - 10. Calculate the remainder when b(6) is divided by l.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1095072 = -3830*x - 4000*x - 1146*x for x.\nAnswer: 122","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -24.2 + -7. Let i = 0.65 + -31.65. Let h = o - i. What is the second biggest value in 0.3, -0.5, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 79.9 - 80. Let v = 0.72 + 1.28. Let z = 0.38 + 0.02. Which is the closest to v?  (a) z  (b) -0.2  (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -86923875*f**3*o**4 - 35869*f**3*o**2 + 911*o**2 wrt o.\nAnswer: -2086173000*f**3*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 74715 a multiple of 99?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Does -1041 = -922362\/887?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = w + 7*b - 4*b - 4748, 3*b = 3. List the prime factors of w.\nAnswer: 5, 13, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (11*n + 7*n + 11*n)*(n + n - 3*n)*(13754 - 13754 - 119*n).\nAnswer: 3451*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:30 AM and 11:24 AM?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 17628*s + 36695 = 16733*s for s.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 20575?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 10494?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let t(m) = 1369*m - 12417. Calculate t(9).\nAnswer: -96","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let q(l) = 3*l**2 - 21*l + 80. What is q(12)?\nAnswer: 260","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1283.\nAnswer: 1283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 229*h = 222*h - 2*r + 32, 3*h - 10 = r for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(539) - -5*(sqrt(539) + -2*sqrt(539))) + -4 + 1 + sqrt(539))**2.\nAnswer: 126*sqrt(11) + 4860","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -172552, -341181, -509810, -678439, -847068?\n\"Answer: -168629*m - 3923","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*z**3 - 1300*z**2\/3 + 2612*z\/9 - 436\/9 = 0.\nAnswer: -109, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ltxliilbbtiyixb. What is prob of picking 1 l, 1 b, and 1 x?\nAnswer: 18\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 121*a = 95*a - 104 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 + (8\/(-12))\/((-7)\/(-3))?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence lvl when three letters picked without replacement from llvvlvllvvulluttltv?\nAnswer: 56\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 63 + -61. Suppose 0*j = b*j - 368. Let c be (2 - j\/12) + 3\/9. Is c greater than or equal to -12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 + 2 + 1 + (-1 + 2 - 2)*(0 + 3 - 1))*(-1 - 16*h**2 + 1).\nAnswer: -64*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*o**5\/7 + 24*o**4\/7 + 72*o**3\/7 + 102*o**2\/7 + 69*o\/7 + 18\/7.\nAnswer: 3*(o + 1)**3*(o + 2)*(o + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*n - 128 = 2*n. Let a = n - -65\/2. Let z = 0.5 - 0. Is a < z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:51 AM and 8:06 AM?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-6 - 3 + 0)*(-2*o + 2*o - 2*o + (-3 - 1 + 3)*(-4 + o + 4) - 128*o - 83*o + 35*o)*(-2 + 4 + 0) to the form h + n*o and give n.\nAnswer: 3222","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Express x - 10*x**2 - 2*x**4 + 0*x**3 + 3*x**4 - x**3 in the form r*x**3 + w + p*x**4 + b*x + g*x**2 and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 153 and 72.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: -174952 divided by 43738\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*v + 4*g + 19 = v, -4*g = 5*v - 47. Suppose -v*o = 3*o + 14. Which is greater: -3\/14 or o?\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 668*y + 2 - 2 - 671*y.\nAnswer: -3*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15 + 5 = -5*f. Suppose 0 = -p + f*p. Suppose 4*c + 30 = 2*h, p = -2*c + 6 - 14. What is the units digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3*(-21)\/324 - 22\/(-99)?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 231 is divided by 126.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: 42310203 (base 5) to base 11\nAnswer: 2218aa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 e and 2 n when four letters picked without replacement from eleelelnlleenle?\nAnswer: 1\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 23843 and 339.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 36\/(-20)*(106 - 111). Put -3, -8, v, -5 in increasing order.\nAnswer: -8, -5, -3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(s) = -4*s**3 - 6*s**2 - 20*s + 6. Let r be 51\/8 - 3\/8. Let o(i) = i**3 + i**2 - 1. Let t(w) = r*o(w) + z(w). What is the second derivative of t(j) wrt j?\nAnswer: 12*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -32036 < -32030?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 4\/3 + (-77)\/(-21). Let a = 2 - -24. Solve -5*y - a = 3*p, y - r*y = -p + 14 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*c + 442 = -25*c + 1283 for c.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -62 = 33*r + 565 for r.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 10864633?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 93 and 176591593?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 7 + -3. Suppose -t*s = -6*s - 8. Sort s, -2, 0 in increasing order.\nAnswer: s, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-2340)\/720)\/((-13)\/(-4) - 3).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Add together 340599 and -196.\nAnswer: 340403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 0 + 0. Let o be ((-295)\/118)\/(2\/(-4)). Sort h, o, -6 in descending order.\nAnswer: o, h, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(p) = 90*p - 68159 + 68159. Let k(g) be the third derivative of g**4\/24 - 4*g**2. What is k(l(n))?\nAnswer: 90*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 50 + -45. What is the remainder when (j\/15)\/(1\/63) - -3 is divided by 7?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -a - 4 = -3*v, -a + v = -0*v. Let q be (-1)\/(2*1\/a)*1. Let o(h) = 2*h**2 + 1. What is the smallest common multiple of o(q) and 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 9*z - 26251 + 26296 = 0 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let i(k) = -8*k - 53. Let o be i(-7). Solve -61 - 4*x**4 + 152*x**2 - 242*x**2 + 138*x**2 + 16*x + 4*x**o - 3 = 0 for x.\nAnswer: -2, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1113 is divided by 320.\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 12 and (6 - 2)\/((-19)\/(-3) - 6)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:59 PM and 1:48 AM?\nAnswer: 709","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 5 + -4 + -23 + 14.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 128252394 and 342?\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 5148 and 1980.\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let q(f) = f**2 - 5*f + 3*f + 9*f + 8. Let r be q(-6). Solve -r = -3*o - 5 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(s) = s - 3. Let a(q) = 1. Let g be (-2)\/(-1*1*1). Let p be 298\/(6 + -8) - -6. Let h = 150 + p. Give g*u(t) + h*a(t).\nAnswer: 2*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3 divided by -997.\nAnswer: 3\/997","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 81\/(-5)*16\/(-6). Let w = b - 43. Factor 0 - 2\/5*f + w*f**2.\nAnswer: f*(f - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -15 (base 14) to base 8.\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 4 - 5 - 6\/2. Let m = o - -6. What is the units digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 197 is divided by 26?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -9 - -8. Let q be 1 + -2 + (-21)\/(-15). What is the nearest to 1 in q, n, -5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -117, -8, -4, 5, -3, -2 in descending order.\nAnswer: 5, -2, -3, -4, -8, -117","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 5  (b) 645  (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 11637 + -6773. Is 14 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(m) = 53*m. Let u be g(-5). Let k = -54 - u. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*c - 0*c. Suppose -14 = u - c*u + 4*g, g = -4. Suppose -4*q + u*q + 2*m = 14800010, 7400015 = -q + 3*m. Round q to the nearest one million.\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*r = -2*z - 25, 5*z = 4*r - 2*r - 19. Let m be -12 + 6\/(3 + z). List the prime factors of 188\/5 - 6\/m.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 178?  (a) 3\/5  (b) 0  (c) -2  (d) 4  (e) 5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let m(f) = f**3 - 29*f**2 + 52*f + 55. Let l(w) = -w**3 + 16*w**2 - 18*w + 72. Let g be l(15). Calculate m(g).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 38745205 plus -341?\nAnswer: 38744864","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -2\/19, 11, -0.26?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Divide -238 by -53255.\nAnswer: 238\/53255","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 513450 and 63?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -k + 2*k - 25 = 0. Calculate the remainder when k is divided by 15.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find s, given that -121*s**2\/4 + 3641*s - 109561 = 0.\nAnswer: 662\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 56*g**2*x - 5*g**2*y**2 - 3*g**2 - g*x*y**2 - 216*g*x + 29*x*y**2 wrt g?\nAnswer: 112*x - 10*y**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1 + sqrt(448))**2 + -1*(0 + sqrt(7))**2.\nAnswer: -16*sqrt(7) + 442","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((b**(-2\/9)*b)\/(b*b\/(b*b**12)))**(24\/7)*(b**(2\/7))**(-1\/56)*b**4\/(b\/(b**(-2\/7)\/b)) assuming b is positive.\nAnswer: b**(24749\/588)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let k(r) be the third derivative of -r**4\/12 - 2*r**3\/3 + r**2. Let p be k(-3). Let x = -38 - -33. Sort p, x, -4 in descending order.\nAnswer: p, -4, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -750.999892 + 751. Round j to four dps.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -44216 in 4, -5, 3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Does 234 divide 1888484241?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Convert 202 (base 3) to base 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -452054 rounded to the nearest 1000?\nAnswer: -452000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 39541 - 16196. List the prime factors of u.\nAnswer: 5, 7, 23, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-20 - -3) + 6 - -6.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 433*i + 427*i = -1167*i + 22297 for i.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 13 + -20. Let t(w) be the first derivative of -w**2\/2 - 4*w + 1. Let y be t(n). Solve y*r - 4*b - 14 = -5*b, -5*b + 19 = -2*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 0.2  (b) -2  (c) 0.06  (d) 61  (e) -5  (f) 2  (g) 3029\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1590?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 14 + -23 + 2 + -3 + -7 + 3?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -1512 divided by 27?\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 3*g**4 - 7*g**4 + 2*g**4 + (3 - 12 + 25)*(2*g**4 - 2*g**4 + g**4) to j + u*g**2 + l*g**3 + d*g + b*g**4 and give b.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let d be -2002950 + (31 - (13 + -2)). What is d rounded to the nearest 100000?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 26180837?\nAnswer: 41, 59, 79, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let n(j) = j**2 + 29*j + 38. What is the least common multiple of n(-28) and 4?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(n) = n**2 - 1. Let u(q) = -1. Let y(o) = 4*c(o) - 4*u(o). Let l(t) = 34*t + 8. Let p(b) = 12*b + 3. Let w(d) = -3*l(d) + 8*p(d). Calculate w(y(m)).\nAnswer: -24*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let n(u) = -u**2 + 2. What is n(-6)?\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -95\/1453806 and -125\/342072.\nAnswer: 5815224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 2124 and 5291712?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -2721, -5537, -8507, -11709, -15221, -19121, -23487?\nAnswer: -28397","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w(p) = p**3 - 7*p**2 - 20*p + 18. Let b be w(9). Suppose x = -3*x + 12, 3*d - 2*x - 2595 = b. List the prime factors of d.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -5 + -5 + -4 + (1 - -2) + 12.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:43 PM and 12:40 AM?\nAnswer: 237","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let j(t) be the first derivative of -4*t**3\/3 + 272*t**2 - 540*t - 3547. Suppose j(q) = 0. What is q?\nAnswer: 1, 135","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7*j - j = -18 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*i**3 - 4 + 4 - 1.\nAnswer: 2*i**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let v(j) = 14 + 2*j - 1 - j. Let g = 0 - -4. What is the smallest common multiple of v(-9) and g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 686 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 72 - 35 = -58*r + 95 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is -7.634 + -2?\nAnswer: -9.634","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 1161 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: In base 11, what is 83 - 300811?\nAnswer: -300739","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let y(p) = p**2 + 8*p + 13. Suppose 14*g - 10*g + 28 = 0. Let b be y(g). Let c(v) = -v**2 + 6. Let s be c(0). Solve 4*l + b = -2*z, -l + s = -3*z + z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 413.31  (b) -19\/65  (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 2\/(-7) - (-16492)\/98. Let d = r - -230. Is 24 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 9 - 7. Suppose 4*f - 2*r = 36 + 4, -f = -s*r - 13. What is the highest common factor of f and 36?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1?  (a) -38  (b) -0.4  (c) -5  (d) -3  (e) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 3\/20*((-6)\/1 - (141 + -139)).\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (n + 2 - 2)*(-11448*n - 17136*n - 1507*n + 3192*n - 15256*n).\nAnswer: -42155*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 22*h + 19 = 85 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is -60 <= 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -18 - -21. Solve -9 - q = -4*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 16*k = 12*k - 8*l - 44, 3*k + 21 = -3*l. Sort 2, 33, k in decreasing order.\nAnswer: 33, 2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(o) = 2*o - 3*o - 2*o + o**2 + 1. Let a be w(4). Suppose 0 = -a*j + 5*g + 235, 3*g = -0*j - j + 47. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 7?  (a) -2\/7  (b) 9440  (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let t(p) be the second derivative of 1\/12*p**4 - 13\/2*p**2 + 0 - 3\/2*p**3 - 7*p. Let k be t(10). Put 2, -4, k in increasing order.\nAnswer: -4, k, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((p\/(p**(-1)*p))\/p)**7)**(19\/4))**(-21) assuming p is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -10332 + 10667. Calculate the remainder when v is divided by 69.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -50254 - -1?\nAnswer: -50253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 14 minutes before 3:20 AM?\nAnswer: 3:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 4205\/50748 - -2\/4229. Let d(x) be the second derivative of j*x**4 + 0 + 7*x - 1\/2*x**3 + x**2. Give d(3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (4\/10)\/(2\/20). Let p = 5.02 - 1.06. Let y = -0.04 - p. Put y, 0.1, q in increasing order.\nAnswer: y, 0.1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1\/3 in -0.4, 2\/7, 0.5, -2, 0.06, -38\/3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -82 - -82.5. Which is the second smallest value?  (a) 3  (b) -3\/4  (c) 1  (d) v\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -2*s**4 + 41*s**3 + s**2 - 21452*s wrt s?\nAnswer: -24*s**2 + 246*s + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*p - 3 - 7. Let z = 1 + p. Solve -8*l - 2 = -z*m - 3*l, 2*m - 2*l = 0 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 1713319?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let u(c) = 2*c**3 - 3*c**2 - 8*c + 6. Let b be u(4). Let d = 55 - b. Which is smaller: d or 1\/37?\nAnswer: 1\/37","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*v - s - 2020, 19*v - 22*v - 3*s = -1500. Calculate the highest common divisor of v and 63.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(o) = 2*o**2 + 23*o + 30. Let n be 3 + -18 + (0 - -1) + -4. What is the tens digit of i(n)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(p) = 5*p - 4. Let n(t) = 6*t - 5. Let u(v) = -5*g(v) + 4*n(v). Let y(o) = 3*o**2 - 115 + 115. Calculate y(u(s)).\nAnswer: 3*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 11 a factor of 3511220?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is -282 times -5?\nAnswer: 1410","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Divide 1555855485 by -5.\nAnswer: -311171097","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.3*50.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*k + 10 = 0, 35 = -5*x - 4*k + 15. What is the third biggest value in -2, x, -2\/15?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 1979, 2004, 2029, 2054, 2079?\nAnswer: 2104","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j(i) = -1274*i - 2413. Determine j(-2).\nAnswer: 135","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 634 + -320. Let y = w - 311. Sort y, -5, 5 in ascending order.\nAnswer: -5, y, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 1166.7 - -63.\nAnswer: 1229.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose d + 29 + 70 = -5*h, -3*d - 2*h - 245 = 0. Let r = 322 + d. What is the hundreds digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -313 = 22*j - 322 - 585 for j.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 203?  (a) 4  (b) -2\/7  (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*g = -2*g - 200. Let u be (144\/g)\/(2\/10). Let j = 19 + u. Solve 3*k = j + 5 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00640845135 rounded to seven dps?\nAnswer: 0.0064085","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -7 - -34a7b7?\nAnswer: 34a7b0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let j(i) be the third derivative of -2361*i**6\/40 - 173*i**5\/60 - i**4\/6 - i**3\/6 - i**2 - 160*i + 2. What is the third derivative of j(c) wrt c?\nAnswer: -42498","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4 + 0 - 2)*(196 - 74 - 71)*(-l + 0*l + 7*l).\nAnswer: 612*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let w(m) = -2*m**3 - 2*m**2 - 2. Let k(p) = 21 - 4*p**2 - 26 - 281*p**3 + 277*p**3. What is 2*k(r) - 5*w(r)?\nAnswer: 2*r**3 + 2*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {a: 17, k: 1}. What is prob of picking 3 a?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -8929 or -6079?\nAnswer: -8929","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 23 + ((0 - 2) + 4 - (1739 - 1585)).\nAnswer: -129","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 24 a factor of 4783?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-200)\/1400)\/((-1)\/(-7)*-4)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 312 is divided by 66.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 1.2 and 25?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -32a12b - 3?\nAnswer: -32a131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 60*v - 23*v - 29*v.\nAnswer: 8*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let p(h) = -h**2. Let y(i) be the second derivative of -i**5\/10 + 11*i**2 - 15*i. Let t(r) be the first derivative of y(r). Calculate t(p(u)).\nAnswer: -6*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let g(a) = 11*a**3 - 16*a**2 + 99*a + 162. Let w(n) = 5*n**3 - 9*n**2 + 50*n + 80. Let t(k) = 4*g(k) - 9*w(k). Factor t(j).\nAnswer: -(j - 12)*(j - 6)*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -74 = -4*u + x, -2*u - 5*x + 0*x + 26 = 0. Let i(g) = g**3 + 3*g**2 + 7*g - 9. What is the remainder when i(3) is divided by u?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1445.39 rounded to the nearest 10000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Sort -28, 303, 1\/3, 2, -0.3.\nAnswer: -28, -0.3, 1\/3, 2, 303","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand (209*v**3 + 64*v**3 + 38*v**3)*(4 - 4 - 9*v).\nAnswer: -2799*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2\/9*22599\/(-1674).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-15)\/(-4) - 4)*-8 - 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(j) = 4*j**3 - 14*j - 7*j**2 - 7*j**2 - 2*j**3. Let f(n) = n**2 + n. Suppose 0 = -21*z - 3*k - 96, 725 = 5*z + k + 753. What is z*x(l) - 28*f(l)?\nAnswer: -4*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00019284495 to six dps.\nAnswer: -0.000193","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -10727 - 5?\nAnswer: -10732","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 8703?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 3\/178 and -83\/8.\nAnswer: 712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-321)\/14980*14*(-465)\/(-27).\nAnswer: -31\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 49930967981 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 84249 a multiple of 253?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*i + 6, -4*s + 2015 = 2*i - i. Let t = -4523\/9 + s. Let k = 21\/4 - 197\/36. What is the second smallest value in k, t, 2, -4?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(f) be the second derivative of -f + 0 + 1\/4*f**4 + 0*f**2 + 0*f**3. Factor l(r).\nAnswer: 3*r**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -31220 - -12333?\nAnswer: -12221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-19)\/(2964\/(-1118))*-6?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 8 + 1 + -2 + (22 - 32).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -976*w - 284 - 489*w + 286 - 1240*w + 256*w.\nAnswer: -2449*w + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 5*f*h + 1934*f - 49*h + 87 with respect to f.\nAnswer: 5*h + 1934","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 8665 and 493905.\nAnswer: 493905","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 10685800 to the nearest integer?\nAnswer: 220","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let l(c) = -c**3 + 24*c**2 + 50*c + 16. Let k be l(26). Let i = 605 + -640. Are i and k unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 65 in -4\/11, 0.5, -0.4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*r + 4*r = 0. Let b be -246*(r + 1\/(-3)). Suppose 5*j + z = b, 0 = j + 3*z - z - 20. What is the units digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -14717 or -14718?\nAnswer: -14718","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is (-18 - (-4 - -3)) + -5 + (13 - 4)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 30492.\nAnswer: 2, 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 2.53 - 1.51. What is v rounded to 0 decimal places?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 247424 and 512.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 369.6439l?\nAnswer: 369643.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 145424 and 572912?\nAnswer: 976","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*b = -0*b - 30. Let f be ((-4)\/b)\/(1\/(-35)). Let z be 99396\/14 - 4\/f. Round z to the nearest 1000.\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -7.5 + 11.5. Which is the nearest to 0.2?  (a) r  (b) -4  (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(t) = -t**2 - 25*t - 57. Let a be q(-22). Suppose -3*f = -5*c + 19, 2*c + c = 3*f + a. Sort 1, c, 15.\nAnswer: 1, c, 15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*w = w - 2*p + 31, 0 = -w - 4*p + 17. Suppose -3*i + 9 = 0, -o - i - 13 = -3*o. Calculate the remainder when o is divided by w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(g) = g**2 - g - 2. Determine l(2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 149\/1176 and 41\/2156?\nAnswer: 12936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let i(x) = 15*x**2 - 4*x. Let f(p) = 90*p**2 - 25*p. Let l(m) = -4*f(m) + 25*i(m). Suppose 4*b - 13*b = -252. Let v(j) = 13*j + 16*j - b*j. Give l(v(t)).\nAnswer: 15*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: 0.3 * -105084.08\nAnswer: -31525.224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Express (-3*t + 5*t + t)*(-433 + 284 + 678 + 3768) as i*t + m and give i.\nAnswer: 12891","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -1.219 + 1.319. Which is the closest to 0.1?  (a) -5  (b) -0.2  (c) 1\/2  (d) x\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-2*g + 2*g + g)*(3 - 1 - 6)*(1 - 1 + g) as k*g + i + m*g**2 and give m.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Express 5 + 7*c**2 + 1 - c - 13*c**2 + 9*c**2 in the form w*c + k + h*c**2 and give k.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let a(z) = -2*z**2. Let i(m) be the third derivative of m**8\/840 - 13*m**5\/60 + 13*m**2. Let o(j) be the third derivative of i(j). What is o(a(x))?\nAnswer: 96*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (2\/(-18))\/(1\/(20\/(280\/(-42)))).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 1387 to the power of 1\/2, to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let t(c) = c**3 + 4*c**2 - 8*c - 10. Let x be t(-5). Suppose -65 = -x*k - w + 245, -k - 2*w = -53. What is the units digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 4*(44\/(-16) + 3). Put -7, 3, c in decreasing order.\nAnswer: 3, c, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 439430 is divided by 231?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -8*l**2 + 256811737*l - 256811737*l + 2*l**2.\nAnswer: -6*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 10373607449 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*j + 6 = -4*n, -4*n + 0*n - 16 = 0. Let a(r) = -r + 3 - 6 + 5. Give a(j).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -5*g + 1 + 4 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 11052 or 11055?\nAnswer: 11055","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*p**5\/7 + 1196*p**4\/7 - 181170*p**3\/7 + 705672*p**2\/7.\nAnswer: -2*p**2*(p - 297)**2*(p - 4)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 113006*a**3 - 115939*a?\nAnswer: 678036*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 567*d - 525*d + 269 + 2881 = 0 for d.\nAnswer: -75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 3564 and 18709218.\nAnswer: 1782","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 51\/(-36) + 6\/9. Which is the closest to -1?  (a) 5\/4  (b) 5  (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (2\/786)\/(4\/10573). Let p = w - -25\/131. Find the common denominator of 47\/70 and p.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-14 + (7 - -5))*26\/(-4)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(b) = 117*b - 28. What is the units digit of w(2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -691109 > -691108?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let u(c) be the first derivative of -52*c**3\/3 - c**2 - 9. Let j be u(-1). Let i be (-95)\/j - (1 - -1). Sort -3\/7, i, 2 in decreasing order.\nAnswer: 2, i, -3\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12*x + 96 = 444. Suppose -5*o = 15, -2*o + x = 5*g - 30. Calculate the least common multiple of 5 and g.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 128 minutes before 5:12 PM?\nAnswer: 3:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -295*u + 58*u - 296*u - 294*u + 1127*u - 301*u.\nAnswer: -u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10 = m - 4*w, -4*m + 0*m - 10 = -w. Let z be -4*(m + 6\/8). Suppose 2 = 5*j - 8. Solve 3*f - z = j*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -1 + 5. List the prime factors of ((-38)\/q)\/(2\/(-12)).\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 4*(-3 + (33\/12 - 1)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5.164155 rounded to one dp?\nAnswer: 5.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 73*f**2*i**3 + 4*f**2*i**2 + 9*f**2 wrt i?\nAnswer: 438*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 222247 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -743.8 + 52.8. Let q = i - -691.4. What is the biggest value in q, 2, -0.066?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(y) = -y + 2. Let o be t(-7). Let a be -2 - (o\/3 + -10). Solve i + i + 5*c - 2 = 0, a*c - 1 = -i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-650)\/(-15))\/(-26)*18\/(-5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 57*y**2 - 2*y + 3592 wrt y.\nAnswer: 114*y - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 53\/9 - 6. Let t = 9 - 9.4. Let l = 0.3 + -0.5. Which is the biggest value?  (a) v  (b) l  (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2 divided by 28803.\nAnswer: 2\/28803","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let w be -2 - (36324\/(-12110) + 1). Let y be (1441126\/126)\/(8650\/15). Let i = w + y. Calculate the common denominator of -55\/7 and i.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine v, given that v**2 - 44788*v - 447980 = 0.\nAnswer: -10, 44798","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n**(-2))**(-12)*n**7*n*n**6 assuming n is positive.\nAnswer: n**38","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 38 + -35. Suppose -1 = r*t + 11. Does 11 divide 4112\/64 - (-1)\/t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -20, 1, 2 in decreasing order.\nAnswer: 2, 1, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:18 PM and 5:27 PM?\nAnswer: 309","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 36 - (0 - 1)\/(-1). Let y be 182\/i + (-2)\/10. Differentiate y*n**3 - 3 + 9 + 3*n**3 wrt n.\nAnswer: 24*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(o) be the second derivative of 8 - 2*o + 0*o**3 + 0*o**5 + 17\/30*o**6 - 1\/6*o**4 - 33\/2*o**2. Find the first derivative of c(d) wrt d.\nAnswer: 68*d**3 - 4*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.6048111 millennia to months.\nAnswer: 7257.7332","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence jj when two letters picked without replacement from {o: 1, j: 12}?\nAnswer: 11\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -4886, -4885, -4884, -4883?\n\"Answer: h - 4887","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -7205 + 3598 + 3607 + 33182*v.\nAnswer: 33182*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let f(v) = 7*v**2 - 46*v + 132. Let g be f(7). Calculate the highest common divisor of 425 and g.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -846 - -1198. List the prime factors of i.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is thirty-three tenths of a century in months?\nAnswer: 3960","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -11921 + 11921 + z - 3*z.\nAnswer: -2*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let d(s) = 127*s - 15. Let l be d(3). Suppose 52*u = 58*u - l. Does 13 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*i - 3 = -5*x + 2, i - x + 1 = 0 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 45 + -29. Suppose -4*v + 16 = -0. Solve v*t - 5*c - u = 0, -2*c - 5 = 3 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(q) = -q**3 - 6*q**2 - 1. Let z be m(-3). List the prime factors of z\/((1 - 0) + -3).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -134 = -3*d + l, 2*d + 212*l - 216*l - 96 = 0 for d.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is one fifth of a kilometer in centimeters?\nAnswer: 20000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put -9, -178, -12, -15, -2 in increasing order.\nAnswer: -178, -15, -12, -9, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let t(i) = i**2 + 7*i + 8. Let r be t(-4). Let p(c) = -7*c - 21. Let x be p(r). What is the second derivative of o + 2*o - x*o - 18*o**5 - 16*o wrt o?\nAnswer: -360*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 149 - 152 - (7 + 1).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((r**(-5)\/r)\/r**5)\/(r**(-1\/3)*r*r\/r**3))\/(((r\/r**(1\/4))\/r**3)\/(r**(-1\/3)\/r)**(-4\/31)) assuming r is positive.\nAnswer: r**(-2695\/372)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let q(m) = 2*m**2 + 6*m + 33. What is the remainder when q(-10) is divided by 44?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -1742, -1737, -1730, -1727, -1734?\nAnswer: -1757","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 59\/286 and 725\/(-500) + (-1)\/(-5).\nAnswer: 572","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 (base 7) in base 11?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c be -2*(-45)\/10*(-3)\/(-9). Suppose -10 + 19 = c*q. Solve -q*r - 13 = -4 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -1  (b) -3  (c) -2\/11  (d) -35\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Product of 10824 and -5.\nAnswer: -54120","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 0\/((-2)\/(6\/3)). Suppose 4*g - g - 48 = q. What are the prime factors of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1943*z + 19701 + 25207 = 219 for z.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.034812*27.\nAnswer: 0.939924","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(208)*2 + -4*-2*sqrt(13))**2 + -3.\nAnswer: 3325","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is -9315463838924 take away -0.2?\nAnswer: -9315463838923.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 58882.52 litres in millilitres?\nAnswer: 58882520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 490998 and 38763?\nAnswer: 1472994","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 53443083 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {a: 4, c: 1, v: 1, y: 4, n: 7}. What is prob of picking 1 v and 1 a?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -1\/15 - -4\/15. Put h, -1\/6, 0.1 in decreasing order.\nAnswer: h, 0.1, -1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -7 - -12. Suppose -q*u + 118 = -3*u. What is the units digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 4625 and 25125.\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 325023584, 650047163, 975070742?\n\"Answer: 325023579*n + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a(l) = -2*l + 28. Let j be a(7). Solve -2*s = 7*u - 3*u - j, 4*s - 3*u + 5 = 0 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 525 is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let s(w) be the second derivative of 0 + 0*w**2 + 1\/147*w**7 - 11*w + 2\/21*w**4 + 3\/35*w**5 + 4\/105*w**6 + 1\/21*w**3. Solve s(a) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -5 - -22. Suppose 4*d - f = 5*z + d, -2*z = -2*d + 10. Let m(g) = -3*g + 1. Calculate m(z).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.38105 - -2.\nAnswer: 1.61895","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 4 and 175.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: 0.4 times 2.52\nAnswer: 1.008","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.070205 and -4.\nAnswer: -0.28082","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 o and 1 k when four letters picked without replacement from {w: 6, j: 1, k: 4, o: 4, a: 5}?\nAnswer: 16\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from tgtyjdwwjjwttwjgjyd. Give prob of sequence wd.\nAnswer: 4\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Determine o, given that -1713*o**4 + 8563*o**3 - 6842*o**2 - 8*o = 0.\nAnswer: -2\/1713, 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let b(i) = -1128*i - 25939. What is b(-23)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Divide -1754 by -1.\nAnswer: 1754","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 42.7 times -1420?\nAnswer: -60634","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 5 (base 13) in base 4?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 10 - 1 - 9 + 3*n**2.\nAnswer: 3*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let f(i) = i**2 - 4. Let s be (-6)\/(-51) - 352\/(-187). Let q(k) = k**2 - 3. Calculate s*f(h) - 3*q(h).\nAnswer: -h**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 458*r - 3 - 456*r - 39*r**2 - 2 - 44*r**2 - 4.\nAnswer: -83*r**2 + 2*r - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is (268\/201)\/((-5)\/6*-4)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 t and 1 f when three letters picked without replacement from ftuuutuutfuuuuuuuu?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 100000000101 + 101001?\nAnswer: 100000101110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 52020?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is -2\/3 at most as big as 0.0442?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 2701965913 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let d(w) = w. Let u(g) = 4*g**2 + 5*g. Let p(s) = 5*d(s) - u(s). Let c(v) = 6*v**2 + 530*v - 1421*v + 891*v. Give c(p(t)).\nAnswer: 96*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 16792276?\nAnswer: 2, 19, 29, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Express (0 - 2 + 3)*(-3*o + 2*o + 0*o)*(-o + o + 6*o - 10*o - 4*o - 4*o + (-o + 0*o - o)*(-2 + 4 - 1)) as u*o**2 + r*o + n and give u.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let j(n) be the second derivative of 3*n**8\/7 - 257*n**4\/12 - 34*n - 5. Find the third derivative of j(x) wrt x.\nAnswer: 2880*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 12\/15 + 60735631\/(-76134195). Let m = x - -5\/29538. Let o = m - -58244\/3093. What is the common denominator of o and -21\/10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 781*b - 275*b - 4769 + 27763 + 22040 = 0 for b.\nAnswer: -89","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a**(-12)\/a**(-3))\/((a*(a**(1\/14)\/a)\/a)\/((a\/(a\/(a\/(a*(a\/a**(-9))\/a))))\/a)) assuming a is positive.\nAnswer: a**(-253\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*z + 20 + 37 = 0. Let m = -19 + z. Let n be 2 - m - (-15)\/3. Solve 0 = 5*u - 3*y + 19, -3*u + u = -y + n for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(w) = -w - 1. Let q(d) = 68*d**2 + 1. Determine -q(u) - x(u).\nAnswer: -68*u**2 + u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 671*a + 4 = 673*a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 divided by -4170?\nAnswer: -1\/4170","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*a = -7 - 83. Suppose a*b - 4870 = -460. What is the highest common divisor of 49 and b?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -z**4\/2 + 18*z**3 - 211*z**2 + 882*z - 1377\/2.\nAnswer: -(z - 17)*(z - 9)**2*(z - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from aaajaaajaaaaajaa.\nAnswer: 13\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 385?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 13977.3950948406 + 2.0509481594. Let z = p + -13993.446. Let x = 14 + z. Round x to 5 dps.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-6)\/(-2))\/(((-624)\/7800)\/(112\/100)).\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i(n) = 17*n + 42. Let c be i(-2). Let p = -201 + 625\/3. Let k = c - p. Which is smaller: 1 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine y so that 98*y**3\/3 - 116662*y**2\/3 - 66688*y\/3 - 3176 = 0.\nAnswer: -2\/7, 1191","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let k(a) = 6*a - 5. Let x(c) = 4*c - 8. Let t be x(3). Suppose -3*s + 2*s - t = 0. Let h(b) = -b + 1. What is s*h(l) - k(l)?\nAnswer: -2*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2 + 2*x**5 - 2 + (-1 + 1 + 2*x)*(-2*x**4 - 16*x**3 + 20*x**3 + 22*x**3).\nAnswer: -2*x**5 + 52*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -9*b**3 + 5*b**3 - 54*b - 14*b**3 - 13*b**3 + 77*b**3.\nAnswer: 46*b**3 - 54*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*b + 5705 = 4*g - 4863, 2*g + 3*b - 5262 = 0. What is the tens digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(v) = 2*v + 5 + 14*v - 18*v. Suppose 3*a = -4*n + 11, -2*n - 4*a = 3*n - 13. Give x(n).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3374058.\nAnswer: 2, 3, 17, 19, 1741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let t(c) be the first derivative of -c**4\/4 + 4*c**3\/3 + 3*c**2 - 3*c - 1. Let n be (12\/10)\/((-12)\/(-40)). What is the units digit of t(n)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -210.514 to one decimal place.\nAnswer: -210.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of (((-116)\/(-6))\/(-1))\/((-32)\/240)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(130)\/(sqrt(40)\/sqrt(4))*6)**2 + (1 + sqrt(1872) - sqrt(1053)*1)**2.\nAnswer: 6*sqrt(13) + 586","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -914*-0.08.\nAnswer: 73.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*o = -4*g + 20, 4*g + 9*o - 20 = 12*o for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7108*r = 7157*r + 392 for r.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let c(g) = 2*g**2 + 6*g + 1. Let y = -41 - 10. Let s be -4 - ((-2)\/3)\/(34\/y). What is c(s)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 217225 and 5?\nAnswer: 217220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -0.06, -1.9, 41281?\nAnswer: 41281","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Convert -3041 (base 6) to base 13.\nAnswer: -3ca","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k(g) = -26*g**2 - 27*g + 7. Let j(r) = 13*r**2 + 14*r - 3. Let t(u) = 7*j(u) + 3*k(u). Find the second derivative of t(o) wrt o.\nAnswer: 26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 68*p - 70*p - 10 = v, 3*v + 26 = -5*p for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let c(v) = -25*v**2 - 22*v**2 + 46*v**2. Let w(k) = k - k - 3*k**2. Determine w(c(q)).\nAnswer: -3*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence quut when four letters picked without replacement from utuuqquuuuquuutuu.\nAnswer: 33\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: -56553 (base 8) to base 3\nAnswer: -1012210202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 38*c**2 - 69*c**3 - 38*c**2.\nAnswer: -69*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -95 - -58. Let q = 38 + w. What is the closest to q in -1, 2\/7, -4?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 0.03 - 0.16. Let l = -4.87 + y. Let g = 5.08 - 0.08. What is the second smallest value in -4, g, l?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0001941772098 rounded to 6 decimal places?\nAnswer: -0.000194","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 1950939, 3901793, 5852649, 7803507, 9754367?\n\"Answer: j**2 + 1950851*j + 87","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 366 and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is -2\/25 at least as big as -4049?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 228 + -227.42125. Let l = w + -0.57. Round l to three decimal places.\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 25525 and 1034375?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -397 - -556. What is the tens digit of s\/5 - (44\/(-20) + 2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -3, 0, 1, -1\/5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 63 and 147?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -1\/3  (b) 0.2  (c) 1.4274  (d) -0.7  (e) -4  (f) 1\/6  (g) 19\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Express 13*j**2 + j**2 - 2*j + 0*j + 3*j as n*j + a*j**2 + c and give a.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3 - (2 + -1) - 4.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-32)\/(-24)*(-18)\/80. Let k = -22 + 27. What is the closest to 0 in k, t, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2\/7 in 1.86318, -0.2, -2\/5, 10, -3, -1\/4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 99.9445164 rounded to 2 dps?\nAnswer: 99.94","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -55 + 59. Is 1\/(4\/(-202))*(u + -14) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 8*o**2 + 11*o**2 - 39*o**2 + 15*o**2 + 17*o**2.\nAnswer: 12*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 496 minutes before 7:51 AM?\nAnswer: 11:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: -3418754 (base 9) to base 4\nAnswer: -13002011020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1?  (a) -15  (b) -0.2  (c) 5  (d) 21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:04 PM and 3:19 PM?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*-1*sqrt(14))\/(sqrt(7) + sqrt(112)*2).\nAnswer: sqrt(2)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let p(d) be the second derivative of d + 0 + 1\/15*d**6 + 0*d**3 - 1\/6*d**4 + 0*d**2 + 1\/5*d**5 - 2\/21*d**7. Find o, given that p(o) = 0.\nAnswer: -1, 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 77084617 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -4319b - 7?\nAnswer: -431a3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.4, -0.5, 1\/303, 0.3 in increasing order.\nAnswer: -0.5, -0.4, 1\/303, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 38 - 241*w + 30 + 31 - 100.\nAnswer: -241*w - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 4513?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 16*s - 18*s = -188. What is the remainder when s is divided by 21?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 1\/13  (b) 45  (c) -30\/467\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 491, 2222, 5107, 9158, 14387?\nAnswer: 20806","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-27)\/(-9) + (-28)\/7. What is the third smallest value in 0.5, x, 1\/6, 14\/3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 166 divide 1619819?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 21 or 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1 in 2, 2\/7, 27, -0.2, 20?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 1 - 4336343?\nAnswer: -4336342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((0 + sqrt(1216))*-2)**2 - ((sqrt(1216) + sqrt(1216) + -2*sqrt(1216) - sqrt(1216))*4 + sqrt(1216))**2.\nAnswer: -6080","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let i(d) be the third derivative of 1\/20*d**5 + 6*d**3 + 0 - 5\/4*d**4 + 228*d**2 + 1\/80*d**6 + 0*d. Factor i(n).\nAnswer: 3*(n - 2)**2*(n + 6)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 613\/35 + -89\/5. Which is the closest to 2\/13?  (a) x  (b) -0.5  (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 118098 and 8617?\nAnswer: 109481","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 9*c = 13*c - i - 20, -i = 2*c - 10 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*o - 5*o + o - 1 - 4*o + 1 + (-o + 4*o - 4*o)*(0 - 2 + 3) - 6*o + 0*o - 2*o.\nAnswer: -15*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:48 PM and 12:54 PM?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let h be -7 + (-712)\/(-56) + (-4)\/(-14). Let z be (-5)\/(-50)*3*h\/9. Put z, 2, 3 in increasing order.\nAnswer: z, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 66103 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let l(h) be the second derivative of 1\/6*h**4 - 1\/42*h**7 - 18*h - 1\/10*h**5 + 1\/2*h**3 + 1\/2*h**2 + 0 - 1\/10*h**6. Determine n so that l(n) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*i + 8 = -0. Let y be 4 + 2 + 1 + i. Solve -3*n + 5 = -4*o + 13, -2*n + y*o = 17 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are 4\/33 and -1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let w(c) = 5*c**2 - 8*c. Let t(f) be the first derivative of 4*f**3\/3 - 7*f**2\/2 - f - 4. Let h(i) = -4*t(i) + 3*w(i). Calculate h(4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 718742227 and 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*sqrt(1440))\/(sqrt(10)\/(sqrt(8)\/sqrt(4))).\nAnswer: 24*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 1495223 to the nearest integer?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 244 divided by -8252.\nAnswer: -61\/2063","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q**22*q\/q**(-3))\/((q\/q**(-7))\/q)**4 assuming q is positive.\nAnswer: q**(-2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 3*((-385)\/21)\/11?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f(i) = 11*i - 31. Give f(9).\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 11250 bigger than 22501\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Find s such that -5893*s**4 - 11788*s**3 + 53033*s**2 + 106092*s + 36 = 0.\nAnswer: -3, -2, -2\/5893, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Determine h so that 2*h**3 - 94*h**2 - 194*h - 98 = 0.\nAnswer: -1, 49","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5 = -r - y, 5*r - 5*y = -0*r - 5. Which is the closest to 1\/22?  (a) 0.2  (b) 2\/19  (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 8057?\nAnswer: 7, 1151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -1112 + 2060. Suppose -3*d - f = -2934. Suppose a = -a + d. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(x) be the second derivative of -x**6\/30 + 5*x**3\/6 - 3*x**2 - 5*x. Let i(q) be the first derivative of h(q). Find the first derivative of i(v) wrt v.\nAnswer: -12*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -7 - 5*f + 4*f - 5*f wrt f?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 10 and 159772.\nAnswer: 798860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 224975861 to the power of 1\/3, to the nearest integer?\nAnswer: 608","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let i(m) be the first derivative of -m**2\/2 - 666. Let q = 19 - 14. Let w = -8 + q. Let v(c) = -c - 3. What is w*i(k) + v(k)?\nAnswer: 2*k - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*x - 2*v = -v - 11, -5*x = -v + 23. Which is the smallest value?  (a) x  (b) 1\/7  (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(v) = 1414638*v + 8487834. Give n(-6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -127*n - c + 159 = -122*n, -2*n + 28*c = -92 for n.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -119\/72920 and 3\/12896?\nAnswer: 117547040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1896, -27, -267, -1 in ascending order.\nAnswer: -267, -27, -1, 1896","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 72 and 288.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Put -6, 2, -23, 7 in descending order.\nAnswer: 7, 2, -6, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*r**2\/11 - 3694494*r\/11 + 3694492\/11.\nAnswer: 2*(r - 1847246)*(r - 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Express (12604*t**3 - 534*t + 173*t + 361*t)*(1 + 3 - 6) as j*t**2 + n + a*t**3 + l*t and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*b = 11 - 3. Let f = -230 + 240. Suppose -4*g - 30 = -0*u + 2*u, -4*g - f = -2*u. Sort u, b, 0.\nAnswer: u, 0, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 510, 540, 568, 594, 618, 640?\nAnswer: 660","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5*((sqrt(171) + (sqrt(171)*1 - sqrt(171)))*-2 + (-2 + sqrt(171) + sqrt(171)*-2 + sqrt(171) - sqrt(171)))**2.\nAnswer: 180*sqrt(19) + 7715","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 5605 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -18\/295 and 3\/2537413.\nAnswer: 12687065","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 49*f - 46*f - 19*f - 96*f + 5.\nAnswer: -112*f + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in 35.05362 days?\nAnswer: 3028632.768","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*y = 8*m - 10*m - 6, 0 = 5*m + y + 27 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 3712641 to the power of 1\/3, to the nearest integer?\nAnswer: 155","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1896 is divided by (-66030)\/(-70) - ((-11)\/66 + 38\/84).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -243*(-42)\/(-5481)*-29.\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort -298, 3, -5, -3 in descending order.\nAnswer: 3, -3, -5, -298","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 6 + -3. Suppose 50 = i*r + 5*l, -3*r - l + 38 = l. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 9*g - 16*g - 28. Let k be -1*(0 + 2) + g. Let t(x) = -5*x - 31. Let c(u) = -u - 6. Let l(h) = -11*c(h) + 2*t(h). Give l(k).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is a9576 - -1868?\nAnswer: 100333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is -92 times 1.277?\nAnswer: -117.484","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*r - 4*h + 12 = -6, 2*h - 13 = 5*r. Calculate the common denominator of (4\/(-10))\/(12\/(-165)) and (r\/(-8))\/(2\/212).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -1910.4 - -1728. Let y = f - -182. Let g be 8\/18 + 2\/(-3). What is the smallest value in g, 0.4, y, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -22 - -51. Let h = 52 - n. List the prime factors of h.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((v\/(v\/v**(8\/9))*(v\/(v*v\/(v**(-5\/6)\/v)*v))\/v)\/(((v\/v**(3\/7))\/v)\/v**1))**20 assuming v is positive.\nAnswer: v**(-3170\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*j - 20 + 2 = 0. Calculate the remainder when 100 is divided by 34\/j*(-12)\/(-8).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 7262005649 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((1*sqrt(190) - sqrt(190) - sqrt(190))*-1 + sqrt(190) - sqrt(190))\/((sqrt(10) - (sqrt(30)\/(sqrt(9)\/sqrt(3)) - sqrt(10))) + sqrt(10)).\nAnswer: sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 130 = -2*v + 126, 2*r - 2*v = 52. Suppose 162 = -3*n + 6*n. What is the highest common divisor of r and n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(r) be the second derivative of r**7\/126 + r**6\/15 + 7*r**5\/30 + 4*r**4\/9 + r**3\/2 + r**2\/3 - 5*r. Factor h(x).\nAnswer: (x + 1)**4*(x + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(f) = f**3 + 17*f**2 + 46*f - 7. Give d(-14).\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s**(1\/7)*s)**(9\/7)*(s**5*s)**(-17) assuming s is positive.\nAnswer: s**(-4926\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 2\/11, -3, -5?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let q(f) = -5*f - 20. Let c = 19 + -24. Let u be q(c). Let b(z) = -10*z + u*z + 8*z - z**2. Give b(6).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 51.39?  (a) 1986  (b) 0.2  (c) -3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((m\/(m\/m**(-16)))**20)**(-6\/23) assuming m is positive.\nAnswer: m**(1920\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 40 a factor of 17552?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence yfcy when four letters picked without replacement from yyfyaycyf.\nAnswer: 5\/378","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 151*o*p**3*s - 17*o*p*s - o*s + 2*p**3 + 6*p**2*s wrt p.\nAnswer: 906*o*s + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 172461.\nAnswer: 3, 57487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let q(f) = 2*f**3 + 32*f**2 - 926*f + 189. Give q(15).\nAnswer: 249","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 314169 divided by -15?\nAnswer: -104723\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -377540*m**3 - 726668*m wrt m?\nAnswer: -2265240*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -44*d**3 - 2*d + 8*d**3 + 53*d**3 + 2*d + 3.\nAnswer: 17*d**3 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 10 - -203?\nAnswer: 213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w**0*w)**1\/(w*w**(1\/7)*w*w\/w**(1\/3))*w**1\/(w*w*w*w\/(w\/(w*w*w**(-6)))*w)*((w**(-6\/11)\/w)\/w)\/(w*w**2*w) assuming w is positive.\nAnswer: w**(-1699\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Does 16 divide 454139437?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from cvvevvxcccccc. What is prob of picking 1 e, 1 x, and 1 v?\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 28*p - 29*p - 5*b + 9, 4*p + 58 = 27*b for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let i(l) = 3*l**3 - l**2 - 2*l + 1. Let j be i(-2). Let s be 664\/(-72) + (-8)\/(-36). Let z = s - j. Is 13 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 13755108.\nAnswer: 2, 3, 17, 67427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((n**(1\/25)\/n*n*n*n**(2\/27))\/(n**(-12)*n)**(1\/27))**(-4\/11) assuming n is positive.\nAnswer: n**(-4108\/7425)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -66*x**4 + 2*x**2 + 386*x wrt x.\nAnswer: -792*x**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 11928 is divided by 19.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let p(w) = -w**3 + 29*w**2 + 92*w + 160. Let n be p(32). Solve 8*k = n + 16 for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 19 and -4.\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00018809519 rounded to four dps?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*z**2 - 3*z + 5*z - 2*z.\nAnswer: 2*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3777 = -18*r - 375. Does 21 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.000045945 to 6 dps.\nAnswer: -0.000046","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 144.71 - -0.29. Let g = j + -144.9999698. Round g to six dps.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.000052 to five decimal places.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 1786259 and 28.\nAnswer: 50015252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 52 + -47. What is the biggest value in 3, p, 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(y) = 4*y - 1. Let z(n) = 63*n - 15. Calculate -33*j(m) + 2*z(m).\nAnswer: -6*m + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 299583764 is divided by 4377.\nAnswer: 4376","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 91068342, 91068357, 91068372, 91068387?\nAnswer: 91068402","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 21331 - -1303241?\nAnswer: 1330122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -23\/204 and 101\/601630?\nAnswer: 3609780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 46219449 divided by -3.\nAnswer: -15406483","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 + 2 - 1)*(80*j**4 - 649*j + 649*j).\nAnswer: -80*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11*j - 14*j + 29374 = -4*o, 2*o = 4*j - 39172. Does 83 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 679835.8 millennia to centuries.\nAnswer: 6798358","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t(s) = 2*s + 0*s - 2*s - 36*s**2. Let l(w) = 5*w**2. Let y(n) = -15*l(n) - 2*t(n). Let g(r) be the second derivative of r**3\/3 - r. What is g(y(d))?\nAnswer: -6*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 109193611 to the nearest integer?\nAnswer: 478","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (6\/(-9))\/((-4)\/6). Let a = g + 6. Is 2 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*s + 15 = 3*c, -994*c = -989*c - 25 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose h - 21 = 5*u + 73, 0 = -5*u + 4*h - 91. Let s = 21 + u. Suppose 0 = -s*w + w + 17. What is the smallest common multiple of 3 and w?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 43 by 1028323.\nAnswer: 43\/1028323","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*y - y + 8. Suppose 14*f + 29 + 41 = 0. Put -1, y, f in descending order.\nAnswer: -1, y, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 254137572449 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 3154702 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -171 divided by 9581.\nAnswer: -171\/9581","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*z**2 - 891*z = 0. Calculate z.\nAnswer: -297, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t**(-3\/11)\/t)\/(t\/((t*t*t**0)\/t))*t*t**6\/t*t*t**(3\/16) assuming t is positive.\nAnswer: t**(1041\/176)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 0 >= 11523\/23393?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -287*j - 63973 = 416*j for j.\nAnswer: -91","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 2263 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(432)*1)\/sqrt(6)*-6 + -3 + 2*(0 + sqrt(2) + sqrt(2)) + sqrt(64)\/sqrt(8).\nAnswer: -30*sqrt(2) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let y(f) = -f**3 + 12*f**2 + 16*f - 57. Let s be y(13). Let w be (-138)\/s + 6\/(-9). Solve 0*g = w*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 56053 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 2396, 4406, 6416?\nAnswer: 8426","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 448 minutes before 10:39 AM?\nAnswer: 3:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 303 minutes before 4:47 PM?\nAnswer: 11:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z*z**(-1\/63))**(-6\/7) assuming z is positive.\nAnswer: z**(-124\/147)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 210 and 70.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 8568390?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4 + 106 + (1812 - 1863).\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -191*f + 477*f - 286*f + 4*f**2.\nAnswer: 4*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -413, -591, -871, -1253, -1737?\n\"Answer: -51*o**2 - 25*o - 337","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 0 + 63?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -1441, -1552, -1729, -1966, -2257?\n\"Answer: v**3 - 39*v**2 - v - 1402","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*j + 50 = 4*q, 2*j - 5*q - 170 = -3*j. Suppose -4*y - 36 - 4 = b, b + y + j = 0. Let v = b + 34. Calculate the remainder when 15 is divided by v.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -256 - 21438?\nAnswer: -21694","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 39 + -36. Suppose -m - d = -6. What is the common denominator of 37\/6 and 1 + 145\/(-45) - m?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 9 (base 11) in base 15?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*t + 10 = 2*h, 0*t - 4*t + 11 = -5*h. Suppose 8*b = 13*b - 10. Suppose 6*c = b*c + 40. What is the remainder when c is divided by t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 6 - 6. Suppose o + 0*o = h. Solve o = 3*b + b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.1 in 4, 3\/5, 3, -0.0717, 1.19?\nAnswer: -0.0717","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -4 + 2. Let u(t) be the third derivative of -5*t**4\/24 + t**3\/6 - 2*t**2. Let j be u(h). What is the greatest common divisor of 33 and j?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be -2 - 1\/2 - 0. Which is greater: z or -3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(j) be the third derivative of 0 + 2\/3*j**3 + 2*j**2 + 1\/6*j**4 + 0*j. Differentiate m(h) with respect to h.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x\/x**8)\/((x*x*x\/x**(-4\/9)*x*x)\/x)*x**(-4)*x**(-7)\/x*((((x*x\/(x**(-3\/4)*x*x))\/x)\/x)**(-28))**(-1\/11) assuming x is positive.\nAnswer: x**(-2636\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 48 and -107.14375.\nAnswer: -5142.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) 20  (b) -5  (c) 2\/25\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (2\/(-16))\/(19\/((-532)\/98))?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -38424 rounded to the nearest 100?\nAnswer: -38400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 11636100 rounded to the nearest ten thousand?\nAnswer: 11640000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*c + 42 = 2*s, 0 = c + 3 - 0. What is the smallest common multiple of s and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*m + 2*m - 2*m**5 + (2297*m**4 + 2558*m**4 - 5111*m**4)*(-4 + 4 - 3*m).\nAnswer: 766*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: -206 divided by -13\nAnswer: 206\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is (8\/(-10))\/(-2)*(-4 + (-36)\/(-4))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -s**3 + 205938*s**2 - 10603644576*s + 106015852960.\nAnswer: -(s - 102964)**2*(s - 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 4364550 a multiple of 135?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -0.1  (b) 6  (c) 29  (d) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 812088?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, 1, -11 in decreasing order.\nAnswer: 1, -5, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 5*o + 6*o - 165 for o.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 31326, 54984, 78642?\n\"Answer: 23658*t + 7668","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-410)\/(-15) - 3\/45*5. Let v be 4\/(-8) + (-103)\/2. Let z be v*3\/(-6) - -1. Calculate the highest common factor of z and k.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((n**(1\/6)\/(n\/(n*n**(-4))*n))\/(n**0*n)**(5\/2))\/((n\/n**(-1\/3)*n**(1\/9))\/(n\/n**(1\/8)*n\/n**(2\/7))) assuming n is positive.\nAnswer: n**(-3623\/504)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 4 - (5 - (2 - -1) - -5 - 6).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b(x) = -37*x + 550. Let y be b(15). Put y, 5, 2, 1 in increasing order.\nAnswer: y, 1, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-23)\/((5 - 0) + -6). Suppose 5*i - b = 2. Suppose -3*u = -4*f - 214, i*u - f - 345 = -6*f. What is the greatest common factor of u and 35?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 408 + 4 + 8\/4 + 4. Suppose -28*b + v = -27*b. What are the prime factors of b?\nAnswer: 2, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1103*m - 50937 - 155783 = -2127*m for m.\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 14 + -10. Suppose 0*a - 124 = -c*a. Calculate the remainder when a is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 751875761.\nAnswer: 7, 13, 635567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose n - 9 = -11. Let t = n + 44. Suppose t = z + z. Does 8 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence xgrr when four letters picked without replacement from llgxrrrsgrgsglxgllgg.\nAnswer: 7\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.4, 3, 17, 231 in ascending order.\nAnswer: -0.4, 3, 17, 231","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -21e - -25ab5?\nAnswer: 25896","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -6 + -3*(-4)\/(16 + -4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2053 != 1868?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 6288 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -10844*s*z**2 + 821*z**2 with respect to s.\nAnswer: -10844*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 93 (base 15) in base 6?\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 494, 688, 902, 1142, 1414, 1724, 2078, 2482?\n\"Answer: m**3 + 4*m**2 + 175*m + 314","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -97\/56 and 1\/64?\nAnswer: 448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Round 190584.9881 to the nearest 1000.\nAnswer: 191000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many kilograms are there in 9.75681ug?\nAnswer: 0.00000000975681","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 28012596 and 48276?\nAnswer: 1788","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let a(c) = 79*c + 31. Let w be a(-3). Calculate the common denominator of 14\/(-77)*w\/(-8) and -79\/6.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -9 + 8\/(3360\/3804).\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 41*n = 6*n + 12*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 5.51439ml?\nAnswer: 0.00551439","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 660, 1340, 2046, 2790, 3584, 4440, 5370?\n\"Answer: 2*y**3 + y**2 + 663*y - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b(a) = -91*a**3 + 2*a**2 - 3*a - 6. Let q(v) = -183*v**3 + 5*v**2 - 6*v - 15. Give 5*b(f) - 2*q(f).\nAnswer: -89*f**3 - 3*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2 = q + 9. Let s(r) = 13*r - 2. Let t(x) = -7*x + 1. Calculate q*t(j) - 6*s(j).\nAnswer: -j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let t(u) = -u**3 + 2*u**2 - 2*u. Let b be t(0). Let z(x) = 0 + b - 18*x - 4. Is z(-3) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r**(-2\/3))**(-44)\/(r**(2\/3)\/r)**(-2\/57)*((r*r\/((r*r**(8\/3)*r)\/r))\/(r**(-2)*r))**(-4\/11) assuming r is positive.\nAnswer: r**(55610\/1881)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Put 5, 10, 3, -18 in decreasing order.\nAnswer: 10, 5, 3, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let o(r) = r**2 + 14*r - 28. Let i be o(-16). Calculate the remainder when 175 - i - 4\/4 is divided by 58.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"}
{"text":"Question: Sort -3, -11, 0, 100, -12.\nAnswer: -12, -11, -3, 0, 100","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 65\/66 and 64\/9?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.22, 1\/2, -2\/15, 17\/5, 15, -1.\nAnswer: -1, -2\/15, 0.22, 1\/2, 17\/5, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let u(v) = -v. Let q(y) = 16*y - 10. Calculate u(q(h)).\nAnswer: -16*h + 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 1051056 and 3036384.\nAnswer: 27327456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -503581 + 19.\nAnswer: -503562","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5*(sqrt(252) - sqrt(28))\/sqrt(4) + sqrt(14)\/(sqrt(2) - (sqrt(2) + 2*sqrt(8))).\nAnswer: -41*sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let z(r) be the third derivative of -1\/40*r**5 + 0*r + 1\/140*r**7 + 0 + 3\/80*r**6 + 0*r**3 - 1\/224*r**8 - 1\/8*r**4 - 21*r**2. Solve z(j) = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:27 PM and 10:14 AM?\nAnswer: 707","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let r(c) = 4*c**3 - 6*c + 10. Let i(l) = -13*l**3 - l**2 + 17*l - 31. Let o(g) = 4*i(g) + 14*r(g). Let o(u) = 0. Calculate u.\nAnswer: -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 185564282 + 11685*l**2 - 185564282 + (-2 - l + 2)*(-1 - l + 0 + 3*l) in the form b + q*l + j*l**2 and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 106*r - 19984 = 5032. What is the remainder when 952 is divided by r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:45 AM and 11:15 AM?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 181*l = 172*l + 25 - 106 for l.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let t(a) = a**2 + 6*a + 2. Let o be t(-6). What is the third derivative of -6*m**3 + 10*m**3 + 3*m**o + 0*m**2 wrt m?\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-11 - -10) + 2 + 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d(r) = 2*r**3 + 41*r**2 + 22*r - 6. Calculate d(-20).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Does 1177 divide 15632914?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -31 - -31.2. What is the biggest value in 14, r, -2?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 573, 482, 333, 126?\n\"Answer: -29*c**2 - 4*c + 606","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Does 8 divide 504688?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -10 + 10. Let y(o) = -o**3 + o + 3. Let j be y(s). Let x(d) = 3 - d**j - 3*d**2 - d**2 + 0*d**3 - 22*d + 24*d. Give x(-4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -1 - -1343210?\nAnswer: 1343204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 23, 49, 73, 95?\nAnswer: 115","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 64726398 rounded to the nearest 1000000?\nAnswer: 65000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 28626 and 1170?\nAnswer: 429390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -29 - -28. Let v be (-7)\/(-9) + o - (-94)\/18. Find the third derivative of -36*r**2 - 21*r**v - 9*r**5 + 8*r**2 wrt r.\nAnswer: -1800*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -286*t**6*z - 287181*t**3*z + 2*t**3 + 8243*t**2*z - 355*z wrt t.\nAnswer: -34320*t**3*z - 1723086*z + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 24 and 2928.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -253209740*x**2 - 1008405273*x.\nAnswer: -506419480","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 31100467 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let u(n) = n + 516 + 516 - 2*n - 1032. Let i(l) = -l**3 + 2*l**2 + 5*l - 6. Let s be i(4). Let c = s - -11. Calculate u(c).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(y) = -y**2 + 10*y - 12. Let d be g(8). Let b = 66 + 7. Suppose m - b = d. What is the highest common divisor of m and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 73\/10 and 11\/7950?\nAnswer: 7950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*y + 30 = z, 7*z = 3*z - 2*y + 66. Is 15 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 8 a factor of 1984?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -26*t = -141*t + 156860. What is the remainder when t is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 12294 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let b(y) = 1. Let v(a) = -7 + 0*a + 4 + 10 + a. Give 6*b(t) - v(t).\nAnswer: -t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 10304 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -1762, -1763, -1774, -1801, -1850, -1927?\n\"Answer: -v**3 + v**2 + 3*v - 1765","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 150 - -3?\nAnswer: 153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let v(b) be the first derivative of 7*b**2\/2 - 4*b + 3. Let u be v(9). Let m = u + -8. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 9154\/(-40) - (-16)\/160. Let j = 231 + q. Factor -1\/2 - j*w**2 - 11\/4*w.\nAnswer: -(w + 1)*(9*w + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 133858?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 5 a factor of 517832660?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 373505958.\nAnswer: 2, 3, 7, 988111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, 0, -4, -3, -12, -5 in ascending order.\nAnswer: -12, -5, -4, -3, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when (-4676)\/(-3)*39\/52 is divided by 28.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 448 minutes after 1:25 AM?\nAnswer: 8:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand (27 - 27 - 4*d**3)*(-2*d + 3*d - 2*d) + 0*d**4 - 4*d**4 + 5*d**4 + (-4 + 3*d**3 + 4)*(0*d - d + 0*d).\nAnswer: 2*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 128, 115, 102, 89, 76, 63?\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t(o) = -o**3 - 21*o**2 + 16*o - 27. Let y be t(-18). Let u = -682 - y. Is u a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 60 is divided by 31?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let p(n) = -n**2 - 11*n - 18. Let s be p(-8). Suppose -8*f - s + 342 = 0. Suppose 5*k - 378 = -k. What is the highest common divisor of f and k?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(w) = -5*w + 2. Let q be ((-2)\/(-6))\/((-1)\/(-9)). Let g(l) = -4*l + 2. What is q*t(p) - 4*g(p)?\nAnswer: p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12*n + 11319 = -21321. What is the highest common factor of 816 and n?\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t**14)**(-2\/33)\/(t\/(t*t**(24\/5)*t)*t**10) assuming t is positive.\nAnswer: t**(-833\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 48746830309 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Determine o, given that 3*o**2\/2 - 144255*o\/2 + 216369 = 0.\nAnswer: 3, 48082","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let g(a) = a**2 + 52*a - 282. Let n be g(-57). Solve -5*c = n*x + 7, 5*x + 5 = -3*c - 12 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 37030, 73407, 109788, 146173?\nAnswer: 182562","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 11401 + -11400.94351. Round p to 2 dps.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: -10.1693742*1\nAnswer: -10.1693742","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 13, -4, 21\/10, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {z: 3}. Give prob of sequence zz.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 7\/3 of a century in months?\nAnswer: 2800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 13956425 is divided by 19492.\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let q(n) = 3836*n + 13. Let u(i) = 5762*i + 21. Calculate 8*q(b) - 5*u(b).\nAnswer: 1878*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 278\/3 + -2 + 14\/6 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 2*x**2\/3 + 1518*x + 1242640\/3 = 0. What is x?\nAnswer: -1960, -317","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is g in 346443769*g**5 + 2078737066*g**4 + 4157771944*g**3 + 2772443600*g**2 + 595664*g + 32 = 0?\nAnswer: -2, -2\/18613","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Round 1.01844655 to four dps.\nAnswer: 1.0184","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 61602, 246811, 555492, 987645, 1543270?\nAnswer: 2222367","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 0.3 + 0.7. Let f = -3 + w. Let o = -846 - -842. What is the biggest value in f, 2\/3, o?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(i) = -49*i**2 - 6*i - 6. Let f(s) = 735*s**2 + 91*s + 91. Let m = 22 - -69. Let j(d) = m*k(d) + 6*f(d). Let r(x) = -2*x. Determine r(j(b)).\nAnswer: 98*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is -57 (base 10) in base 12?\nAnswer: -49","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c(t) = 4*t + 29. Let b = -39 - -33. Let k be c(b). Suppose -2*i + 13 = 2*o - 7, -5 = -k*i. Solve o*s = 4*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is fifty-one halves of a year in months?\nAnswer: 306","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of ((-12)\/5)\/6*(-54495)\/9?\nAnswer: 2, 7, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 + 0 + 2)*(7*o - o - 3*o) + 2*o + o + o.\nAnswer: 10*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -4\/7, 144\/7, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 1228081 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -14.3 - -18.3. What is the fourth biggest value in 0.9, -6\/7, -3, p?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*b + 8*b + 10 = 0. Let r(f) = f**3 - 5*f**2 + 3*f + 4. Let l be r(4). Sort 3, b, l.\nAnswer: b, l, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 0 or -2\/488191?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in one quarter of a microgram?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 149057788, 149057787, 149057786?\n\"Answer: -y + 149057789","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*f - 5*f = -124. What is the remainder when ((-27)\/(-3)*f)\/(30\/(-20)) is divided by 47?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -32*z + 28*z + 3*y + 1416, -z + 339 = 3*y. Suppose -2*s + 3*x + 70 = 5*x, s - 5*x - 59 = 0. Calculate the highest common divisor of s and z.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 30*m + 29 = -121 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let k(c) = 59*c**2 - 43*c + 19. List the prime factors of k(8).\nAnswer: 7, 17, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (6 + (-34)\/6)\/(10\/(-9)). Let g = 52.2 - 52. Which is greater: k or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i\/((i*i**(2\/31))\/i)*i*i*i\/i**(-21\/5))**(-25) assuming i is positive.\nAnswer: i**(-6305\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let j(k) be the second derivative of 2*k**5\/5 + k**4\/12 - k**3\/6 - k**2\/2 + 2*k. Let y be j(-1). Let s = y + 21. Solve 2 = -3*c + s for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 p and 1 e when two letters picked without replacement from {e: 1, k: 1, s: 2, i: 1, d: 1, p: 2}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: -137422 (base 9) to base 4\nAnswer: -110203103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-12)\/(-63))\/(6396\/1376739).\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor -323*h**2 - 735*h + 18*h**3 - 191 + 6 - 3*h**3 - 212*h**2.\nAnswer: 5*(h - 37)*(h + 1)*(3*h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((4*sqrt(396) + -1)*-5)**2.\nAnswer: -1200*sqrt(11) + 158425","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let c(y) = 8*y**2 + 3*y - 2. Let w(n) = 7*n**2 + 3*n - 2. Let t(z) = -6*c(z) + 7*w(z). Let d be t(7). Calculate the greatest common factor of 17 and d.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 17 + 5041?\nAnswer: 5058","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let r(c) = -c + 14. Let x be r(5). Is x at most as big as 37\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 4275 - 4275.000038641. Round i to 6 decimal places.\nAnswer: -0.000039","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -9, -47, -145, -333, -641, -1099, -1737, -2585?\nAnswer: -3673","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 17057 to the power of 1\/3, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 1100100011001111010111 + -1100101?\nAnswer: 1100100011001101110010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-66)\/22770*69*50\/(-12).\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*k - 18 = -5*f, -f + 3*k = -k - 7. Suppose 0*z + f*z = 15. Suppose -3*r - j = 2*r - 28, -5*r - z*j + 20 = 0. Solve -r*s = -3*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 0 + 30. What is the tens digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 769 to the power of 1\/2, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 418, 835, 1254, 1675, 2098, 2523?\nAnswer: 2950","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b(x) = -x - 904 + 904. Let l(n) = 10*n**2 + 27*n. Calculate b(l(r)).\nAnswer: -10*r**2 - 27*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -20\/9 and -143\/9300.\nAnswer: 27900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*l - 20 = 14*c - 19*c, 5*l + 14 = -c. Let a(b) = 8*b**2 + 7*b + 5. Let k(n) = -n**2 - n - 1. Calculate c*a(v) + 5*k(v).\nAnswer: 3*v**2 + 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the seventh smallest value?  (a) 1\/72  (b) 1  (c) -189  (d) -1\/3  (e) 4  (f) -0.07  (g) 2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*i - 11 = -3*a, 2*i - 6971*a = -6983*a - 16 for i.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify o**(4\/9)*o**(10\/3) assuming o is positive.\nAnswer: o**(34\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let i(f) = -f - 1. Let a be i(0). Let d be -2 + a\/(-2)*4. Suppose -t - 4 = -d*t. Put -0.4, t, -1 in increasing order.\nAnswer: t, -1, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 20\/(-10820)*4*1. Let l = 16783\/1623 + f. What is the common denominator of l and -67\/3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose v - 8 = -v. Suppose -n + v = 3*n. Let w be n + 7 - (-6)\/(-3). Let f(c) = -c + 8. Calculate f(w).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from pccccpppcpcc. What is prob of sequence cpp?\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((a*a**(7\/6)\/a)\/a)\/a*a**17*a*a)\/(a**(-2\/3)*a\/a**18*a) assuming a is positive.\nAnswer: a**(209\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 329*j + 180 = 347*j for j.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -6*q + q - 5*g - 10, -3*g - 5 = 2*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let d(h) = -2*h**3 - 790*h**2 - 5424*h + 3104. Calculate d(-388).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 g and 2 o when three letters picked without replacement from {g: 4, b: 2, o: 4}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 2\/(-1 + 15\/25). What is the tens digit of (-2)\/t + 1265\/25?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: -23 divided by 91\nAnswer: -23\/91","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Express -1768*s**2 - 719*s**2 + 1 + 694*s**2 in the form b*s + r*s**2 + p and give r.\nAnswer: -1793","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((b**(1\/3)*b)**(-23))**(-2\/9) assuming b is positive.\nAnswer: b**(184\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 11 - 201212101?\nAnswer: -201212020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4 divided by 91340373.\nAnswer: -4\/91340373","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let w(q) = 29*q. Let f(u) = 6798838*u. Calculate f(w(l)).\nAnswer: 197166302*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -149\/1462344 and 73\/78480?\nAnswer: 43870320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let f(r) = 16*r + 3. Let l be f(4). Let c = l + -35. Let b = 53 - c. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(t) be the second derivative of 0 + 63*t - 37\/60*t**5 - 2*t**3 - 1\/9*t**6 + 0*t**2 - 1\/126*t**7 - 5\/3*t**4. Factor s(g).\nAnswer: -g*(g + 2)**2*(g + 3)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 250*a = 2895 + 28855 for a.\nAnswer: 127","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -9.6 + 9.661. Suppose 4*m - 17 = 5*h, 1340*h - 1343*h - 4*m + 9 = 0. Put h, t, 4 in descending order.\nAnswer: 4, t, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -b - 2 + 4. Let j be (4 + b)\/(-2) - -3. Let k(z) = z**2 - 14. What is k(j)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*w - w**2 - 2*w + (6*w - 4*w - 4*w)*(6*w - 3*w - 2*w) - 19 + 6 + 11 + 8*w**2.\nAnswer: 5*w**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 y and 2 o when three letters picked without replacement from oyoopooooodooddoooy?\nAnswer: 52\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence zkz when three letters picked without replacement from kzzzkk.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let q(s) = 3*s**3 + 11*s**2 - 23*s + 15. Let c(b) = -5*b**3 - 43 - 8*b - 12*b**2 + 28 + 31*b. Let o(a) = -2*c(a) - 3*q(a). Factor o(m).\nAnswer: (m - 5)*(m - 3)*(m - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.176*-12\nAnswer: -2.112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 293861*a**2*g*h**2 + a*g*h**3 - 2*a + 27*g*h**3 + 2*g*h**2 - 1592*g - 2*h**3 + 18*h**2 + 1 wrt a.\nAnswer: 587722*a*g*h**2 + g*h**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-3)\/(-2)*32\/12. Suppose -64 = -5*j - n. What is the least common multiple of 4 and j?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(p) be the first derivative of -p**4\/3 - 20*p**3\/3 - 24*p - 29. Let i(b) be the first derivative of o(b). What is the second derivative of i(m) wrt m?\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (1 + (-14)\/4 - -1)\/((-115218)\/(-5914524)).\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 127 + 12578*o + 12579*o - 37732*o - 59 + 12587*o - 68.\nAnswer: 12*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 1042301 to the nearest integer?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*b = 4*c - 19, 2*b + 1419245*c - 4 = 1419244*c for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 25*o + 309 - 46*o + 22*o.\nAnswer: o + 309","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 20247, 40502, 60755, 81006, 101255?\n\"Answer: -t**2 + 20258*t - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((c\/c**2)\/c)**15)**(2\/43) assuming c is positive.\nAnswer: c**(-60\/43)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 81\/75260 and -131\/426.\nAnswer: 225780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 3 + -1. Let y be (-56)\/102 + (-2)\/(-3). What is the biggest value in -4, d, y?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(q) = q**2 - 5*q + 5. Let d = 19 - 88. Let z = 39 + d. Let b be z\/(-12) - 3 - (-11)\/2. Give s(b).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 38017.\nAnswer: 7, 5431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*g + g + 15. Let y(b) = -2*b + 4. Let t be y(g). Let a be 74\/t + 4\/(-14). Solve 0 = -a*u + 3*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 0.2 + -0.3. Let f = 100 + -99.8. Which is the closest to h?  (a) -0.3  (b) -3  (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*h - 5*h - h)*(h - 5 + 5 + (-4*h - 3*h + 5*h)*(-5 + 4 + 4)).\nAnswer: 30*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: ((-950)\/49875)\/(44\/2541)\nAnswer: -11\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -1 + 1. Let y = 3.1 + -3.53. Let w = -0.23 - y. Which is the nearest to 1\/3?  (a) -2\/5  (b) w  (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 962 + -463. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 100015.91 and -2.1?\nAnswer: -210033.411","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -16\/13 + 25\/52. Let d = -0.3 + 0.4. Let s = 7 - 3. Which is the closest to d?  (a) -2\/5  (b) s  (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine i, given that i**4\/4 - 20*i**3 + 759*i**2\/2 + 820*i + 1681\/4 = 0.\nAnswer: -1, 41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 101.1 + -107. Let t = -21 - -15.3. Let d = 5.6 + t. Which is smaller: g or d?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 2*b**3*j**3 - 7*b**3*j**2 - 3*b**2*j + b*j**3 + 2*b*j + 14*b wrt b?\nAnswer: 12*b*j**3 - 42*b*j**2 - 6*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-12)\/126)\/((-68)\/595*5)*-666?\nAnswer: -111","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 268475952?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let v(l) = l + 223*l**2 - 203*l**2 - l. Let z(w) = 4*w. What is v(z(a))?\nAnswer: 320*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 41 minutes before 2:07 AM?\nAnswer: 1:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 99571139 to the power of 1\/3, to the nearest integer?\nAnswer: 463","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let h(x) = -x**2. Let k(w) = -4724*w**2. What is k(h(p))?\nAnswer: -4724*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 85118222297 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 936152 to the power of 1\/2, to the nearest integer?\nAnswer: 968","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*i = 3*v - 3, 3*v + 23 - 14 = -4*i for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 57114956 and 31499.\nAnswer: 2423","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand -4*a**2 + 4*a**2 + 2*a**3 + (-3*a + 2*a + 0*a)*(535 + 32*a**2 - 535).\nAnswer: -30*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6*a - 1347*a + 50693 + 10192 = 0 for a.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 472 minutes before 7:58 PM?\nAnswer: 12:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -0.3  (b) -0.01  (c) 139\/315\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:55 PM and 9:04 PM?\nAnswer: 309","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.9, 1, -493, 0.4, -3, 4\/5 in decreasing order.\nAnswer: 1, 0.9, 4\/5, 0.4, -3, -493","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(130)*-1 - sqrt(130))*3)\/sqrt(10) + 3 - ((-2*sqrt(637))**2 + (sqrt(117)*3)**2).\nAnswer: -3598 - 6*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -244*h + 155 = 269 + 618 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: -194 times 0.721\nAnswer: -139.874","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 2\/5111 smaller than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 24*p + 3098 + p - 3101 to the form x*p + d and give x.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let c be ((-3)\/(-2))\/(23\/(-46)). Let g be (8 - 47)*1\/c. Let l = 240 + g. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*d = -3*h - 7*d + 5116, 6792 = 4*h - 2*d. What is h rounded to the nearest one thousand?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 158*h - 204*h + 202400 = 0. List the prime factors of h.\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4 + sqrt(75) + -2 + (3*((-2*sqrt(75) - sqrt(75)) + sqrt(75)) + sqrt(75))**2.\nAnswer: 5*sqrt(3) + 1877","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {o: 7, g: 7, p: 4}. What is prob of sequence gg?\nAnswer: 7\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let a(j) be the second derivative of 0 + 7\/6*j**3 - 1\/10*j**4 + 0*j**5 + 1\/600*j**6 + 4*j + 0*j**2. Let q(m) be the second derivative of a(m). Factor q(v).\nAnswer: 3*(v - 2)*(v + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-x**2 - 2*x**2 + 4*x**2)*(x - 2 + 2) - 3*x**3 + 2*x**3 - 5*x**3.\nAnswer: -5*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -290*h + 2760103 = -878237. Does 9 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose x + 18 = -z - 2*x, 5*z - 2*x = -5. Let g be -2 - (7\/(-1) - z). Solve 0 = -2*a + g*w - 10, 5*w + 5 = -0*a - 5*a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f*f**0*f)**26\/(f**(-7)*f**(-2\/11)) assuming f is positive.\nAnswer: f**(651\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 3\/(-2)*(-8)\/12. Suppose -3*q + 5 = -k, -q + 1 = -x. Calculate the remainder when 9\/6*((-254)\/(-3))\/k is divided by 44.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 332 minutes before 4:21 PM?\nAnswer: 10:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:16 AM and 5:26 PM?\nAnswer: 430","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*b = -5*l - 5, 3*l + b - 11 + 4 = 0 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(140)*1 - sqrt(140))\/sqrt(5))\/(sqrt(12)\/sqrt(3)*-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 34\/30 + 11\/(-33). Which is the third smallest value?  (a) -0.2  (b) -2  (c) l  (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose k = -3*b + 822439, -2*k - 4*b = -4*k + 1644928. Suppose 0 = 4*p - k + 79278. Let m = p + -117794. Round m to the nearest 10000.\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 2\/(-8)*1\/(-2). Let j be (-3)\/(24 - -6) + 4\/8. Put 4, b, j, -0.3 in descending order.\nAnswer: 4, j, b, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(l) = 38312*l + 574660. Give w(-15).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 97*v**2 - 57*v**2 - 122*v**2 - 203*v**2.\nAnswer: -285*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:23 PM and 8:02 PM?\nAnswer: 279","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let g(w) = -6*w + 4. Let c be g(-4). Suppose 0 = 2*x - 8, 2*m - m + 2*x - c = 0. Solve -8*k = -4*k + m for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((g*g\/((g\/g**(2\/7))\/g))**(3\/17))**(-8)\/((g**0)**(-3)*(g*g**6)\/g**(-2\/3)) assuming g is positive.\nAnswer: g**(-3889\/357)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 4 + (0 + 4 - 6). Let s(m) = -6*m**2 + m**3 + 3 + 14*m**2 + m - 9*m**2 + 1. Let l be s(0). Solve g*h - 3*h = -l for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 146356969*z + 1083402617.\nAnswer: 146356969","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*y - 6 + 14. What is the third smallest value in 2, y, 1, 0.02?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(y) = y - 606. What is u(43)?\nAnswer: -563","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let h(r) = -4781*r + 57394. Let s = -22 + 36. What is the lowest common multiple of h(12) and s?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1999880542 is divided by 68?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 89 + -46. Let a = i - 42.9895. Round a to 3 decimal places.\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -20624 = k - 17*k. What is the tens digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 40 and 1734.\nAnswer: 69360","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let r(w) be the first derivative of -w**7\/7140 - w**6\/765 - w**5\/255 + 2*w**3\/3 - 9*w**2\/2 + 74. Let j(g) be the third derivative of r(g). Solve j(n) = 0 for n.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.1?  (a) 0.0267  (b) -5  (c) 61\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 144 - 176. What is the units digit of 1\/(3\/8)*(-3528)\/y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y**(2\/87)\/y**(2\/107))**46 assuming y is positive.\nAnswer: y**(1840\/9309)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:08 AM and 9:47 AM?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1530749.\nAnswer: 11, 31, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -21*n = -13*n - 82*n + 592 for n.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-5*(sqrt(561) - (sqrt(561)*1 - sqrt(561))))\/(5*2*sqrt(11)))\/(((sqrt(36) - sqrt(72)\/sqrt(2) - sqrt(36))*2)\/(sqrt(24)\/sqrt(32) + sqrt(12))).\nAnswer: 5*sqrt(17)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1108.\nAnswer: 2, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -98 and -3?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let n(a) = -5*a**2 - 4*a + 4. Let u be n(-3). Let h = -25 - u. Suppose 51 = h*m + 15. What are the prime factors of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:29 PM and 11:12 PM?\nAnswer: 583","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence jojj when four letters picked without replacement from ooojoojjoo.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 145 + -33. Suppose y = -3*u + 2*b + 1213, -734 = -2*u - b. Is 11 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 173 minutes after 10:07 PM?\nAnswer: 1:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 2280 and 296970?\nAnswer: 570","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let x(z) = -2 + 2 - z. Let i(k) = 2*k**3 + 3*k. Let n = -19 - -22. Give n*x(o) + i(o).\nAnswer: 2*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -752 - 43*d**4 - 1109*d**4 + 1940 wrt d?\nAnswer: -4608*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -62*w - 744 + 1394 = 482 - 4978 for w.\nAnswer: 83","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 2\/32*((-3926)\/78 + 30\/9). Is -3 at least q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 55\/98 and 51\/414259.\nAnswer: 40597382","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*w + 3 = -2*w. Let i(v) = w + 15*v + 1 - 1. Calculate the remainder when i(2) is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -20561522 times 2?\nAnswer: -41123044","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -0.5, 4, 0.1, 1\/7?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 184 and 7222.\nAnswer: 28888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1 in -3\/49, 2\/7, 0.4, -18?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 138296438 to the nearest integer?\nAnswer: 11760","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -265, -226, -159, -58, 83, 270, 509?\n\"Answer: c**3 + 8*c**2 + 8*c - 282","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 37780379 and 1729.\nAnswer: 1729","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1?  (a) -2\/9  (b) 0.25  (c) -5  (d) 181\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is (-12)\/(-8) - 228110\/(-4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2349773 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 4440?  (a) 3\/7  (b) 2\/3  (c) -2\/275\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.7 in -2, -0.045, -0.05, -3\/23, 0.5, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 0.66 - 0.06. Are n and 0.2 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -1300233333 + 11021?\nAnswer: -1300222312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -22, -23, -40, -85, -170, -307, -508?\nAnswer: -785","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert -8 (base 12) to base 7.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (18\/(126\/(-3325)))\/(1\/(-10)). What is the greatest common divisor of g and 76?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0049442738 rounded to six decimal places?\nAnswer: -0.004944","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -14373d3 + -3?\nAnswer: -14373d6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 197 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -c**5\/7 - 957*c**4\/7 - 235079*c**3\/7 - 7353447*c**2\/7 - 58027320*c\/7 + 65616804\/7 = 0 for c.\nAnswer: -561, -361, -18, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 1693 and -129.51305?\nAnswer: 1822.51305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (0 - 1)\/(-20 + (6 - -8)). Let x = 7.1 - 2.1. What is the closest to x in -0.1, -2\/9, r, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2498055258 rounded to the nearest 1000000?\nAnswer: -2498000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 860*u - 856*u + 24 = 0 for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 10 and 14?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 0, -1010\/13, -72?\nAnswer: -72","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 76570980 to the nearest integer?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let j(b) = b**2 + 11*b + 4. Let s be j(-13). What is the highest common factor of 45 and s?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-21)\/(-27) + (-1)\/(-3))\/(215\/9 - 24).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -11 or -12?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from tsyestn. Give prob of sequence enss.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 2671732, 2671664, 2671486, 2671144, 2670584, 2669752, 2668594?\n\"Answer: -9*h**3 - h**2 - 2*h + 2671744","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1029 is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 251 minutes before 6:52 AM?\nAnswer: 2:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let x(c) = 4*c**3 + 2*c - 1. Let m be x(1). Let a = 8 - m. Let w(s) = a - 1 + 16*s**2 + 2*s - 18*s**2 - 2*s**3. Determine w(-2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 h and 1 z when two letters picked without replacement from thzzh?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Round 70 to the nearest one thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1.7 in 3, 2, 5, -1\/2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 144088496 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Divide -203 by -1060.\nAnswer: 203\/1060","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let h(b) = 1764 - 3418 + 1662 - 22*b. What is h(6)?\nAnswer: -124","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 44739844.\nAnswer: 2, 53, 239, 883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 145 minutes after 9:18 PM?\nAnswer: 11:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 165 = 10*s - 8*m + 13*m, 0 = 5*s + 2*m - 83. Suppose 3*t - 4*j = 45 - 11, -2*j = -3*t + 26. What is the lowest common multiple of s and t?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 18, 99, 1, -4 in descending order.\nAnswer: 99, 18, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((v*(v*v**(2\/13))\/v)\/v)\/v)\/v)\/v*v**12*(v**(-1\/4)*v)**(-12) assuming v is positive.\nAnswer: v**(2\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let k be ((-8)\/(-16))\/(-1*1\/(-18)). Suppose -6*h = -k*h + 18. Suppose h*z - 118 = 524. List the prime factors of z.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is eleven quarters of a kilogram in grams?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when (-105)\/175*-335*1 is divided by 54.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 + -7 + 41 + (-13 - 7)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -87*n + 62 - 1175 = -34*n for n.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 6\/10*(-4)\/(-6). Let x = -10 + 15. Let t be (x\/((-15)\/2))\/2. Is t > v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 30 = 9*x - 6. Solve x*z - 9 = -0*z + 3*n, 5 = 5*n for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -613 - 153*z - 374 + 830 wrt z?\nAnswer: -153","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -y = -3*y + 2. Let c(a) be the second derivative of -a**3\/6 + a. Let l be c(y). Put -0.1, 5, l in descending order.\nAnswer: 5, -0.1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((m\/(m*m\/m**0))**8*m*m**(-5)*m*m**2)\/(((m**(-1\/3)*m)\/m**(-1\/2))\/(m**(-3)*m**0)) assuming m is positive.\nAnswer: m**(-79\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (4*a**2 - 8*a**2 + 34*a**2)*(-5*a**2 + 3*a**2 + a**2) to u*a**3 + h*a**4 + f*a + s + d*a**2 and give h.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((q\/q**(-18))\/((q\/(q*q**14))\/q*q))\/(q**(-5)*q**(-23)) assuming q is positive.\nAnswer: q**61","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 552 minutes before 4:24 PM?\nAnswer: 7:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 42908255 is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 2\/21  (b) 46\/7  (c) 4  (d) 0.04\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -21*d**2 - 1 + 8*d + 154*d**2 - 32*d**2 - 132*d**2 - 1.\nAnswer: -31*d**2 + 8*d - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let b be ((-143)\/(-22) - 9)\/(2\/(-12)). Which is greater: b or 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 1*((-378)\/(-45) - 8). Which is the second smallest value?  (a) -16\/5  (b) j  (c) 0  (d) 4\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 27 + (-12 + (-27 - -40) - -14).\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (3*m + m - 7*m)*(6146*m + 43026 - 43026) to the form n*m + d*m**2 + j and give d.\nAnswer: -18438","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Round -2914610 to the nearest one hundred thousand.\nAnswer: -2900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 i and 1 m when three letters picked without replacement from witmiettmermiit.\nAnswer: 18\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Express 335*x - 112*x - 358 - 114*x - 184 - 111*x as t + y*x and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 1929 + -2971. Let g = j + 1677. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-20)\/(-150)*(-2673)\/198)\/(2\/80)\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 5176 is divided by 31.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Express 6*s + 2 - 3*s - s - 3*s**2 + s**4 in the form c*s + z*s**4 + i*s**3 + f + w*s**2 and give w.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let n(y) = 3*y**2 - 2*y - 1. Suppose 0 = j + 4*m + 18, 7*j + 2*m + 24 = 4*j. Let d(v) = v**2 - v. Give j*d(x) + 3*n(x).\nAnswer: 3*x**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 32977044 a multiple of 387?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let p(t) = 28*t - 6*t**2 - 28*t. Let s(k) = -3*k. Give s(p(a)).\nAnswer: 18*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let n(t) = -964565*t**2 - 5425*t - 10850. Let r(y) = -1067*y**2 - 6*y - 12. Determine 6*n(q) - 5425*r(q).\nAnswer: 1085*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 6*((-1*sqrt(245)*5 - sqrt(245)) + -2)**2.\nAnswer: 1008*sqrt(5) + 52944","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 67534106?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 155056*8.22.\nAnswer: 1274560.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 2 and 234740820.\nAnswer: 234740820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 56981.7814 + -56818.8. Let s = -0.87 + 163.87. Let p = s - m. Round p to three dps.\nAnswer: 0.019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 63.01863 - 0.01863. What is the closest to -2\/5 in -6\/11, -0.1, w?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 12\/63*-15*10\/(-100)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 16 - 20. Let w be (-4)\/(-8)*f + 365. Calculate the highest common divisor of w and 33.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (5*o - 11*o + 13*o)*(1 - 2 - 3 + (-2 + 4 + 1)*(2 + 1 - 4) + 3 + 0 - 4) in the form m + p*o and give p.\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 30*i = -9791 + 9281 for i.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-201*90\/15075)\/(1*2\/(-3)).\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -0.27 + -2.93. Let i = d + -2.8. Let x = 7 + i. What is the third biggest value in x, -2\/5, 5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 145 minutes before 6:08 PM?\nAnswer: 3:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -558*z**2 - 262*z**4 - 55*z**4 + 848*z**4 wrt z?\nAnswer: 12744*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(w) be the third derivative of -w**8\/168 + 23*w**7\/210 + w**6\/24 + 11*w**4\/24 - 173*w**3\/6 + 12*w**2 - 10*w. What is the second derivative of u(v) wrt v?\nAnswer: -40*v**3 + 276*v**2 + 30*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 5745300223?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 86 - 671471?\nAnswer: -671374","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: -0.18 times 0.46\nAnswer: -0.0828","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1210391839.\nAnswer: 239, 5064401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*c**2 - c**2 - c**2)*(1 - 4 + 1) + c**2 - 3*c**2 + c**2 + (2*c - c - 3*c)*(-2*c + 2*c - c).\nAnswer: 5*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 2412 - 2452. Let o = 199\/40 + -35\/8. What is the closest to t in -2, -0.3, o?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sum 83 and 39.6.\nAnswer: 122.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in seven quarters of a litre?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: -113 + 39 - (19 + -35)\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*x - 5 = x. Let r be (-6)\/x - (-24)\/30. Suppose -2*u - r*m = -m - 57, 0 = u - 5*m - 45. Calculate the smallest common multiple of 21 and u.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2563948 a multiple of 899?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 203 = 7*a + 63. Solve -a = 4*g - 8*g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -46*d**2 + 50*d**2 + 0 - 10 + 171*d - 172*d + 1 to u*d + t + v*d**2 and give v.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 211 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let t(d) = 2*d. Suppose 25*c - 30*c + 3*v = 16, -c = -3*v - 4. Give t(c).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be ((872\/12)\/(5\/36))\/(-1). Let l = a - -520. Is l greater than 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 19996.\nAnswer: 2, 4999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3*(5 + -5*sqrt(1584) + 5 - ((1 + sqrt(1584) + -5 - sqrt(1584))**2 - (-3*sqrt(1584)*2)**2)).\nAnswer: -180*sqrt(11) + 171054","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 4 - 0 - (103 + -101).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3\/5*c**3 + 0 - 2\/5*c**2 + 12\/5*c**4 + 0*c - 7\/5*c**5 = 0.\nAnswer: -2\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.24 - 213.\nAnswer: -212.76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 13194 + -1794. Round m to the nearest 1000.\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 175 minutes before 10:30 AM?\nAnswer: 7:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -17*g + 385*g - 86567 = 406921. What is the highest common factor of g and 45?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 287 = -2*s + 4*r + 275, 2*s + 2 = -r for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 3 - (3 - (1 + -4 + 4)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -2 + 3 + -4 + 1 - -3\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 496260.\nAnswer: 2, 3, 5, 919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 3510202*m*q*y**2 + 5*m*q + m*y**2 - 7*m*y + 89*m + q - 106*y**2 + 48 wrt q.\nAnswer: 3510202*m*y**2 + 5*m + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let m(i) = -5*i**2 + 184*i - 15. Does 3 divide m(36)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:02 AM and 4:56 PM?\nAnswer: 474","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((-2*sqrt(130)*5 - sqrt(130) - sqrt(130)) + sqrt(130))*-5)\/(2*sqrt(20)\/sqrt(2) + sqrt(110)\/(sqrt(22)\/sqrt(2))))**2.\nAnswer: 39325\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1874?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let k(m) = -m**3 + 7*m**2 + 7*m + 3. Let w(o) = -o**3 + 6*o**2 + 6*o + 3. Let s(f) = -f**2 - 104*f - 298. Let j be s(-101). Calculate j*w(p) - 4*k(p).\nAnswer: -p**3 + 2*p**2 + 2*p + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -1\/3, -0.012, 27\/4, -1\/6, 0.5, -3\/5?\nAnswer: 27\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.2 in 1\/389, -4, 0.5, 3, 336\/11?\nAnswer: 1\/389","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let n(i) = 9 + 0 - 4 + 81*i + 30 + 19. Let g be n(3). Let l = 64 - 37. What is the greatest common divisor of l and g?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -175 + 100. Let m be (-19 - -20)\/(1\/190). Let a = m + t. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (11*v + 5*v**2 - 11*v)*(-6*v**3 + 0*v**3 + 2*v**3) - 5*v**2 + 5*v**2 - v**5.\nAnswer: -21*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let g(z) = -z**2 + 1. Let x be g(2). Let p(l) = -l**3 - 5*l**2 - 3*l - 1. Let n be p(x). Let j(y) = y**2 - 10*y - 6. Is j(n) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*k = -10*k + 40. Suppose -n + 22 = -4*m, 2*n - 1 = m + k. Let j = n + 13. Solve -x = 2*x + j for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 5713543?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let t(r) = -r**3 + r**2 - r - 1. Let j(g) = -4*g**3 + 61*g**2 - 3*g - 3. Determine j(b) - 3*t(b).\nAnswer: -b**3 + 58*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (2 + -1)*-1 + 101400\/(-13104) + 28\/49.\nAnswer: -49\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 12*r - 11*r + r**2 - 3*r**2 + (1 + r - 1)*(2272 - 2272 + 54*r).\nAnswer: 52*r**2 + r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -230 + 141?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0*a + 4*a**2 - a**3 + 938 - 28684 + 0*a - 3*a**2.\nAnswer: -a**3 + a**2 - 27746","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.000009373 to 7 decimal places.\nAnswer: 0.0000094","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*p**4 + p**4 - 2*p**4 + (-3*p**3 + 0*p + 0*p)*(p + 0*p - 4*p).\nAnswer: 10*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 582 minutes before 12:38 AM?\nAnswer: 2:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -12778 - -36311. What is the ten thousands digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are 5 and 13 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 55 and 136499?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of (4\/(-3))\/(54291\/18099 + -3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -6*h**4 + 13*h**3 - 3*h**2 - 9*h + 5.\nAnswer: -(h - 1)**3*(6*h + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-4)\/(-3))\/((-510)\/(-340))?\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 408\/5 - 163\/2. Let l(b) be the second derivative of 3\/10*b**2 + 0 + 0*b**3 - y*b**4 + 0*b**5 + 1\/50*b**6 - 3*b. Determine r so that l(r) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(a) = -2*a**2 + 2*a - 1. Let r = 53 - 22. Suppose -3*u = -12, 4*u + 77 = 4*i - 35. Let v = i - r. Give w(v).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 267044852 to the power of 1\/3, to the nearest integer?\nAnswer: 644","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -153 + 164. Suppose -6*l - y*l = -2*l. Solve 5*j + 2*q = 14, l*j - 3*q + 4 = -j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 1968319879\/1491 - 1320134. Calculate the common denominator of -131\/24 and a.\nAnswer: 11928","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -135878*d + 135892*d - 126 for d.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-122)\/(-8) - 21\/(-28). Suppose 15*x - r*x + 25 = 0. Let g = 110 + x. What is the units digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*g - 335*t + 340*t + 31 = 0, -2*g - 5*t - 46 = 0 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 8112, 8177, 8242, 8307, 8372, 8437?\nAnswer: 8502","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 9*g + 152 - 107 = 0 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -3 + 5. Is 9 a factor of 20 + 1\/i*-4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 18 and 18324.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many millennia are there in 9486.506 years?\nAnswer: 9.486506","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 9 a factor of 311742?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -14?  (a) 3\/5  (b) -10\/3  (c) -3  (d) -1\/2  (e) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 42 minutes before 2:52 PM?\nAnswer: 2:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 4950899745 to the nearest integer?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let l(b) = b**3 - b**2 - 1. Suppose 12 - 21 = -f. Suppose f*o = 2*o. Calculate l(o).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -2*a**5\/5 - 658*a**4\/5 + 6292*a**3\/5 + 70592*a**2\/5 + 96832*a\/5 - 173056\/5 = 0. What is a?\nAnswer: -338, -4, 1, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*t - 197 = -105 - 112, -2*t + 26 = 9*s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-3*b + b + b)*(-5*b + 3*b + 3*b) + (0 + b**2 - 3*b + 0)*(-4 - 2 - 25)*(-4 + 1 + 1)*(5 + 20 + 8) to the form n*b + q + z*b**2 and give z.\nAnswer: 2045","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Convert 5897.275 centuries to years.\nAnswer: 589727.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -4051, -4056, -4061, -4066?\n\"Answer: -5*a - 4046","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -201, -403, -607, -813, -1021?\nAnswer: -1231","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t(r) = -27*r + 193. What is t(0)?\nAnswer: 193","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: -34 - -43 - ((2 - 6) + (-1 - -11))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -599198362, -599198363, -599198366, -599198371, -599198378, -599198387?\n\"Answer: -d**2 + 2*d - 599198363","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: -14031 (base 5) to base 15\nAnswer: -511","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -29  (b) 3\/10  (c) -1  (d) -1\/20\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {h: 5, m: 11, x: 1}. What is prob of picking 2 h?\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 15307639 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.4187192 kilograms in milligrams?\nAnswer: 418719.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1123?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-16 - 91*h**5 + 16 + (3*h + 2*h - 6*h)*(-h**4 - h**4 + h**4))*(4 + 8 - 2 + (-4 + 5 + 0)*(-2 + 3 - 3)).\nAnswer: -720*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*k - k - 12. Let z be (4 - 5\/5) + 2. Suppose z*s = -4 + 79. Solve -k*b - s = b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -97 + 111. Let g = f + 32.7. Round g to the nearest 10.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 26 + -54. Let b = w + 53. Let a = b - 26. What is the second smallest value in -0.4, a, -0.2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 38*n - 19*n - 17*n - 20 as z*n + o and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is (8\/(-336))\/(2\/8)?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*n + 0*n + 23 = 2*v, 31 = v - 4*n. Suppose -5*z - 2*l + 45 = -7*l, -5*z + 4*l = -42. Let f(t) = 85*t - 845. Let q be f(10). Solve -v = -q*h + z for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:32 PM and 2:33 AM?\nAnswer: 181","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Convert -101100000010110 (base 2) to base 12.\nAnswer: -11072","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 68009 is divided by 33?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-5 + (-21)\/(-5))\/(2\/5). Let q be (2 + 0 + -4)\/(-1). Let k be (2\/(-4))\/(q\/4). Put x, 1, k in decreasing order.\nAnswer: 1, k, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-129 - -14) + 1 + 83?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 1 - (0\/(-2) - 2). Let b = 19 + -4. Suppose -m + 0*m = x*n - 40, n + 2*m = b. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3 + 6*((sqrt(425)*-2)**2*-3 + (sqrt(425) - (sqrt(425) + sqrt(425)*-2)*1)).\nAnswer: -30597 + 60*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 0.03 - -1.47. Let m = -1.499824 + w. Round m to five dps.\nAnswer: 0.00018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -50*a = -85*a + 910. Solve a = -n + 25 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -110904 divided by 1115\nAnswer: -110904\/1115","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 14239770 and 30?\nAnswer: 14239770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 151828 to the power of 1\/2, to the nearest integer?\nAnswer: 390","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let r(l) be the third derivative of l**5\/120 - 149*l**3\/3 - 61*l**2. Let q(j) be the first derivative of r(j). Give q(-5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w**(-3\/4))**14 assuming w is positive.\nAnswer: w**(-21\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let g(l) = 7*l. Let d(w) be the third derivative of 0*w + 0 + 0*w**3 - 7\/8*w**4 + 130*w**2. Determine -4*d(n) - 11*g(n).\nAnswer: 7*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Put 28, -8, 4, 9 in descending order.\nAnswer: 28, 9, 4, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 5 in -0.9, -0.1, 0.3, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 310 and 48.\nAnswer: 7440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 10\/15*(-6)\/(-16)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 475 and 44750.\nAnswer: 850250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 k and 1 u when two letters picked without replacement from dkxkxubxububbbbdox.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*k - k - c - 12 = 0, 0 = 4*k + 4*c. Solve 12 = 5*d + k for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -4, -20, -44, -76, -116?\n\"Answer: -4*g**2 - 4*g + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 71 a factor of 1562?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 68 times 398588?\nAnswer: 27103984","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 124742753 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let d(k) = 2*k**2. Let w(p) = 15*p**2. Let u(j) = 18*d(j) - 2*w(j). Let l(b) = -3*b. Calculate u(l(z)).\nAnswer: 54*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 11 - 5. Suppose -l*i + 5*i + 128 = 0. What are the prime factors of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 13\/5 of a milligram in micrograms?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 945, 1425, 1905, 2385, 2865?\n\"Answer: 480*d + 465","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 146*o**6 + 169*o**2 wrt o?\nAnswer: 17520*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*l + l = 2. Suppose l*c + 135 = 5*c. Is c a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are 0.465 and 1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let d(h) = 11*h - 99. Let o be d(10). Let x = -6 + 61. Calculate the highest common divisor of o and x.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(b) = -4*b**2 + 446*b - 900. Calculate g(2).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2 in 0.6, -8.7, -4, -3\/8, 1\/5?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let u(k) = -k**3 - k**2 - k - 1. Let v(i) = -i**2 - 4*i + 5. Let t(n) = u(n) + v(n). Let q be t(0). Let y(m) = -2*m**2 + 2*m - 3. Calculate y(q).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -2 - 0. Let v = -1.973 + 7.102. Let s = v - 0.129. Which is the second smallest value?  (a) r  (b) s  (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((g**(3\/8)\/g)\/g**(-4\/7))\/(g**9\/g**(-6)))**(-38) assuming g is positive.\nAnswer: g**(16017\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 2.37 + 0.13. Let k = w + -2. What is the closest to -1 in 3, k, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(n) = 33165000*n. Let v(u) = 2*u**2. What is k(v(t))?\nAnswer: 66330000*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (17\/((-459)\/(-180)))\/((-1)\/(-22350)). What is t 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 smallest common multiple of 480 and 62240?\nAnswer: 186720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let b(z) = 2*z**2 + 2*z. Let g(a) = -a**3 - 12*a**2 - 21*a - 8. Let w be g(-10). Let q(j) = -2*j**2 - 2*j. Let i = 347 + -344. Calculate i*b(n) + w*q(n).\nAnswer: 2*n**2 + 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand m**5 - 5*m**5 + m**5 - 5*m**5 + 3*m**5 + 0*m**5 - 3*m**5 + 5*m**5 - 4*m**5 + (-2 + 2 + m**2)*(3*m**3 + 5*m**3 - 6*m**3) - m + m - m**5.\nAnswer: -6*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 22987 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 3 - 50c7ea0?\nAnswer: -50c7e9d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let f(i) = 2*i**3 - 14*i - 12. Let l(p) be the third derivative of -p**6\/20 + 7*p**4\/4 + 6*p**3 + 5*p**2. Let q(x) = 8*f(x) + 3*l(x). Factor q(h).\nAnswer: -2*(h - 3)*(h + 1)*(h + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -29*v - x = -26*v - 728, -x = -8. Let a(l) = l**2 - 3*l + 6. Let t be a(6). Calculate the greatest common divisor of t and v.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify k**(2\/43)*(k*k*k*k*k**17)\/k*k**(10\/13)\/k**(-14) assuming k is positive.\nAnswer: k**(19462\/559)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let n(h) = -18*h**2 + 2*h. Let l(g) = 30*g. What is n(l(f))?\nAnswer: -16200*f**2 + 60*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Does 1424 divide 2718959968?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -g + 11 = -4*c, -2*c - 2*g - 2 = 2*c. Let r be -5 - c - (-34)\/10. What is the closest to r in 0.4, 3, -0.3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*d**4 - 18*d**3 - 48*d**2 - 40*d = 0.\nAnswer: -5, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1*((5 + 4*sqrt(1008)*1 + 4 + sqrt(567)*-3)**2 + -5).\nAnswer: -3163 - 378*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 1\/4 and 31\/1904.\nAnswer: 1904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 290*b - 303*b = 825*b + 491*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let m(o) be the second derivative of -69*o - 1\/24*o**4 + 1\/2*o**2 + 0 + 1\/12*o**3. Suppose m(t) = 0. What is t?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 5*d*h**2*p**2 - 23*d*h**2 - h**2*p**2 - 215*h**2*p wrt d.\nAnswer: 5*h**2*p**2 - 23*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 577478101 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let r(x) = 7*x**2 - 85*x + 46. Let h(g) = -3*g**2 + 37*g - 23. Let i(k) = -5*h(k) - 2*r(k). What is i(13)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (2\/(-6))\/(2\/6). Let t(i) be the third derivative of -3*i**6\/10 - i**5\/20 - i**4\/12 + 229*i**2. List the prime factors of t(a).\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3 + sqrt(17) + 1 + 2)**2 + 1.\nAnswer: 12*sqrt(17) + 54","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: -10 (base 14) to base 15\nAnswer: -e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: (2\/28)\/(32\/128)\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 90 + 1605*d**2 - 90 - 794*d**4 + 1148*d**2 wrt d?\nAnswer: -19056*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 4269 - 579 + 4687*l + 1011 - 4685*l to the form o*l + j and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (22\/(-24))\/((345\/60)\/(-23)). Let g(y) be the first derivative of 0*y + 0*y**2 - 14 - i*y**3. Let w(o) = -4*o**2. Give g(w(l)).\nAnswer: -176*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -17 - -23. Let s be -204*(1 - f\/4). What is the tens digit of ((-18)\/(-12))\/(9\/s)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 18 divide 47017240?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d**(2\/15)*d)\/((d\/(d*d\/d**(-5)*d*d*d))\/d*d*d)*d**9\/(d*d**6) assuming d is positive.\nAnswer: d**(167\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*f - 12379243 = -2*p + 6520761, -f + 18900002 = 2*p. Suppose 19*n = 24*n + p. Round n to the nearest 100000.\nAnswer: -1900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2\/3, 6539745, 0.\nAnswer: -2\/3, 0, 6539745","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let f(z) be the third derivative of 0*z + 0*z**3 + 0*z**4 + 2*z**2 - 1\/60*z**5 + 0. Let l(k) = -2*k**2. Determine f(l(u)).\nAnswer: -4*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 2629 and 717.\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 14 and 3706652.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6 - 4 = 2*c, 2*f - 4*c - 36 = 0. Suppose 0 = f*q - 25*q + 51. Factor 5\/3*p**q + 4\/3*p - 13\/3*p**2 + 4\/3.\nAnswer: (p - 2)*(p - 1)*(5*p + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-4 - 40\/(-5)) + 6. Suppose 0 = -z - 2*s - j, -3*s + 15 = -6*s. What is the second biggest value in -4\/9, -2\/11, z?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 - 2 + 0)*(5*f**2 - 2*f**2 - f**2)*(-17 + 17 + 2*f**3).\nAnswer: -8*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let t(d) be the second derivative of -1\/3*d**3 + 0 - 6*d - 4*d**2. Give t(-6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(t) = 242*t**2 + 3 + 243*t**2 - 18*t**3 - 731*t**2 + 246*t**2. Let o(z) = 9*z**3 - 2. Calculate 5*o(y) + 3*q(y).\nAnswer: -9*y**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.4 in 2\/53, -1\/202, 3?\nAnswer: 2\/53","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Product of 31599 and 556.\nAnswer: 17569044","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -9 + 12. Let v(g) = -2*g**2 + 9*g - 3*g + 7 + k*g**2. What is the units digit of v(-8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2 + (sqrt(171) - (sqrt(171) + 2) - (sqrt(133) + 1*sqrt(133))\/sqrt(7)) + -1)**2.\nAnswer: 4*sqrt(19) + 77","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*r + 222*g = 220*g - 14, -2*r + 22 = -4*g for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ebewpbbbwe. What is prob of picking 2 b?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 4848580*u**4 - 2874828.\nAnswer: 19394320*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 9473691 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -0.6, -425, 0.3, 2\/11, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 25\/3?  (a) -0.7  (b) 3  (c) 12  (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -31*u = -24*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 157350?\nAnswer: 2, 3, 5, 1049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 6?  (a) -16  (b) 0.8  (c) 4.3  (d) -2\/11  (e) 4\/15  (f) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Round -980900 to the nearest 10000.\nAnswer: -980000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 79 + -54. Let i = 13 + -8. Suppose -q = -4 - i. Calculate the remainder when v is divided by q.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 74767177 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -0.274 + -61.426. Let y = -62 - s. Which is greater: y or -0.7?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -206*x + 192*x = 84 for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 6 + -13. Let j = -6 - n. Are j and 2 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 657, -3, 0.2, 3?\nAnswer: 657","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 143.4 - 162. Let g = 19 + b. What is the second smallest value in g, 0.06, 0.5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -3505 (base 6) to base 3.\nAnswer: -1010212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -213, -317, -357, -333?\nAnswer: -245","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*p = -37*p + 196. Suppose -p*r - 27 = 5*k - 116, 0 = -3*r - 2*k + 38. Solve -q + 7 - r = 0 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ssnnssssssn. Give prob of sequence sn.\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let u(s) = -30*s**3 - 71*s**2 + 2*s + 4. Let i(p) = -30*p**3 - 70*p**2 + 2*p + 5. Let h(v) = 4*i(v) - 5*u(v). Find the third derivative of h(t) wrt t.\nAnswer: 180","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -9653\/4 or -2412?\nAnswer: -9653\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p**6*p**(2\/11))**(-10\/7)*((p\/(p*p\/p**(-2\/5)*p)*p)**(2\/41))**(-21) assuming p is positive.\nAnswer: p**(-116762\/15785)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*k = -3*k - 21. Which is smaller: -8 or k?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n**(-5))**28*n**(-4)\/n**(-3\/2) assuming n is positive.\nAnswer: n**(-285\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Add together 7 and -341637.81.\nAnswer: -341630.81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-14)\/6 + 7 + -5. What is the closest to -0.2 in -4\/7, -1, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (1 + (-34)\/104)\/(2848\/143557). Let o = s - 1737\/52. Find the common denominator of -131\/6 and o.\nAnswer: 384","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 3\/11?  (a) -3  (b) -5\/2  (c) -26  (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((b**(2\/23)*b*(b*b**(1\/7))\/b)\/(b**(-2\/7)*b**2))\/((b\/b**1)**(-28)\/((((b\/(b\/b**(-1)))\/b)\/b)\/(b\/(b\/b**(-2\/5))))) assuming b is positive.\nAnswer: b**(-2483\/805)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 9269169 and -2.\nAnswer: -18538338","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence fq when two letters picked without replacement from {q: 4, f: 3}?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Work out -353699 * -666.\nAnswer: 235563534","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 114439 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 13*q - 9 - 17 = 0 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 5330\/9 - 592. What is the smallest value in -28, -1, s?\nAnswer: -28","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 185 minutes before 6:07 AM?\nAnswer: 3:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let n(x) = x**2 + 19*x + 57. What is n(-11)?\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 169, 1\/10, 4, 2\/185?\nAnswer: 2\/185","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -578 + 997. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 304\/95*5\/2. Suppose -o + 23639 = -r*o. What is o rounded to the nearest 1000?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 620*4\/128 + -11 + 1\/8.\nAnswer: 17\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1\/626014257 or 1?\nAnswer: 1\/626014257","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let w(x) = 3*x**2 + 1. Suppose 2*u + 3*t - 1 + 3 = 0, 5*t + 6 = -2*u. Let a = 6 - u. Calculate the remainder when w(a) is divided by 26.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 106, 1\/15, 22.1, -3?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -17 - -17.4. Which is the nearest to -2?  (a) -1\/2  (b) 5  (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -12299, -12292, -12275, -12242, -12187?\nAnswer: -12104","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*p + 4 = -16. Suppose -p + 4 = -j - 3*i, 5*i - 2 = -2*j. Is -1*j - (-11 - 1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 3290 - 6197. Let r = 1460 - k. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(b) = 7*b**3 - b**2 + 3*b - 1. Let x be p(1). Let o be (-1)\/4 - 42\/(-8). Let q = x - o. Solve q*n = -n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 63.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 2*j + b + 4, j + 22 - 6 = -4*b for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -7 divided by 31.\nAnswer: -7\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -1314825*u**2 + u - 17683030.\nAnswer: -2629650*u + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, 0, 2947, -9, 1, 16, -2.\nAnswer: -9, -2, 0, 1, 4, 16, 2947","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 1696 and 10123.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 4134 is divided by 1371?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Round -1042.027 to zero dps.\nAnswer: -1042","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 2697000 rounded to the nearest 100000?\nAnswer: 2700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0*q + 6*q = 52*r - 45*r + 117, 12*q + 4*q + 43 = -5*r for r.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-43)\/((90\/(-360))\/(3\/12)).\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 377.2 - 377. Suppose 0 = -3*m + 7*m + 4. What is the closest to m in c, -4, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 16310136.72 to the nearest ten thousand.\nAnswer: 16310000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 249 minutes after 2:22 AM?\nAnswer: 6:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -5981, -11703, -17439, -23195, -28977, -34791?\nAnswer: -40643","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 90?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -79123634 + 79123634 - v.\nAnswer: -v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let p(x) = -x + 46. Let g be p(33). Let c(k) be the first derivative of 2*k**3\/3 - 8*k**2 - 4*k + 1. What is the hundreds digit of c(g)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -20, 3, 14, 141, 0, 5 in descending order.\nAnswer: 141, 14, 5, 3, 0, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let x(c) = 2*c - 16. Let j be x(9). Suppose -j*n - 10 = -7*n. Solve 0*q - 2\/3 + 2\/3*q**n = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -50343*c*o**2 + c*o - 3576*o wrt o.\nAnswer: -100686*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 481472\/15 + -32098. What is the closest to u in -3\/4, 7, -21?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((t*t**(12\/7))\/t)\/((t\/(t\/t**(-7\/4)))\/t))\/(t\/(t*t**(-13\/2)))**(-2\/19) assuming t is positive.\nAnswer: t**(2739\/532)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Total of 0.4 and -541794.\nAnswer: -541793.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 561298705, 561298706, 561298707, 561298708?\n\"Answer: p + 561298704","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2281*t - 3137 + 17137 + 16341 = -1593 for t.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(15)\/sqrt(3))**2*6 + -5.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ngxnnaaagn. What is prob of sequence aag?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 2 != 18?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Work out -52.94 * -24.\nAnswer: 1270.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let -4\/15*i - 2\/15*i**3 + 2\/5*i**2 + 0 = 0. Calculate i.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 3 + -10c09?\nAnswer: -10c06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 22*b - 38*b = -96. What is the greatest common factor of b and 10518?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -178 + 177. Let y = -13 - -24. Let r = y + u. Is r at most -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*h + 8*h = d - 263, 4 = d. Are h and 2\/13 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 2 + 18 - 26 - (-6 - 37).\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -3 - -4. Let p(o) = o - 4. Let a be p(6). Suppose -7*d = -a*d + 20, 4*d = 5*j - 16. Which is smaller: g or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -27\/48950 and 13\/1811150.\nAnswer: 1811150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 38005 is divided by 17.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 40030012 + 1?\nAnswer: 40030013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*p - 3*g + 313, g - 2 = -1. Let c = 43 - p. Let r = 26 + c. List the prime factors of r.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 25\/34 + 353\/17. Find the common denominator of v and 796\/56 + (-8)\/(-28).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 121 and 225709.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is (-73352)\/4844 - (10 + 276\/(-21))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -3 - (-14 - 4) - ((71 - 1) + -12).\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor 1\/8*c**4 + 1\/4*c - 1\/4*c**3 + 0*c**2 - 1\/8.\nAnswer: (c - 1)**3*(c + 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*s = -2*z - 36, 10 = z - 2*s - 18 + 26 for z.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let c(g) be the first derivative of g**6\/6 + 23*g**3\/3 + 36. What is the third derivative of c(t) wrt t?\nAnswer: 60*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 39*f**2 + 36*f**2 - 47*f**2 + 47*f**2.\nAnswer: 75*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 563011763.\nAnswer: 17, 3547, 9337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2 + 218716783*i**2 - 218716747*i**2 - 2.\nAnswer: 36*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 2276721 and 246132?\nAnswer: 9106884","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2640 is divided by 632.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let h(n) = -2*n + 9. Let w be h(0). Let j = w - -3. Let c be (2\/j)\/((-10)\/(-170)). Which is smaller: c or 3?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 160 - 90. Let w = y + -34. Let f = w - -16. Calculate the greatest common divisor of 13 and f.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 1391 - 342. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.36374048 and 1.\nAnswer: -0.36374048","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 88 and 1617?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 232*b + 118*b + 91*b.\nAnswer: 441*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -63 = -5*m + 3835*q - 3833*q, 43*m - 30 = 41*m + 2*q for m.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Round 30.250442 to the nearest integer.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is -451854417 less than or equal to -451854418?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 2562383 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let f(t) be the second derivative of -t**5\/2 - 49*t**4\/3 - 19*t**3\/6 + 15*t**2 + 8380*t. What is the second derivative of f(z) wrt z?\nAnswer: -60*z - 392","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 144 and 150141888.\nAnswer: 150141888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 12897439 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 0 + -0.5. Let m = 0.5 - -2.5. Let x = 2.6 - m. Which is the closest to 0?  (a) x  (b) 0  (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 48 - -23. Calculate the remainder when u is divided by 2\/4 + (-564)\/(-24).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4303*h = -4338*h + 15852 - 1222. Calculate the least common multiple of 418 and h.\nAnswer: 418","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -64 - -62.6. Let o = -0.4 - 0. Let a = o - x. What is the smallest value in a, 0.4, 3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 69\/(-138) + 42\/(-4)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(h) = -h - 4. Let b be i(-10). Let y(m) = m**3 + 6*m**2 + 3*m + 2. Let p be y(-6). What are the prime factors of ((-27)\/b)\/(12\/p)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -7 - -7.3. Let q = -96.47 - -96. Let g = -0.53 + q. What is the smallest value in -3, t, g?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -3125 + 28*u**2 + 3125 + 9*u + (u + u + u)*(-5*u + u + 2*u) - 3*u + 3*u - 2*u**2 in the form c + k*u**2 + l*u and give l.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -1.3 - 10.7. Let w = s + 11. Which is the nearest to w?  (a) -0.02  (b) -1  (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 495956.2 centuries in decades?\nAnswer: 4959562","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*h - 17 - 18 = 0. Let s = 20 - h. Is s a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 135*x + 32 = 119*x. Let t be 1 + ((-54)\/14)\/3. Which is the biggest value?  (a) -4  (b) t  (c) 0.2  (d) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 429019302 to the power of 1\/3, to the nearest integer?\nAnswer: 754","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Divide 5588756 by 4.\nAnswer: 1397189","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((n\/((n\/(n*n**4))\/n))**24\/(n\/n**(3\/8)*(n*n**6)\/n*n*n))**(7\/3) assuming n is positive.\nAnswer: n**(2527\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Divide -1089181621 by 121.\nAnswer: -9001501","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -44 = -p - 3*p for p.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.581 rounded to zero decimal places?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let b be ((-4)\/16 - 43\/4)\/1. What are the prime factors of (-2)\/b + ((-3028)\/(-44) - -5)?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(f) = 1936*f - 4053. What are the prime factors of a(17)?\nAnswer: 28859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(x) = 219*x - 5692. What is the lowest common multiple of v(26) and 13?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-60)\/(-144)*6)\/(2\/(-4))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r(d) = -83*d**2 + 300*d - 3. Let i(j) = 35*j**2 - 151*j + 1. Determine 7*i(b) + 3*r(b).\nAnswer: -4*b**2 - 157*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -204 - 16561326?\nAnswer: -16561533","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Round 16323300 to the nearest 1000000.\nAnswer: 16000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: 5cc (base 16) to base 15\nAnswer: 68e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*z + 15 = -5. Suppose 5*r + 0 - z = 0. Suppose r - 33 = -2*w - y, -55 = -4*w + 5*y. Is w a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 22505587 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-12)\/(-105))\/(68\/(-170)).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*r + 3*l - 579 = 0, -6 = 2*l - 2. What is the greatest common factor of r and 63?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 873.173g in tonnes?\nAnswer: 0.000873173","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t(u) = -14*u**2 - 4*u - 4. Determine t(-1).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 41166 or -2\/5?\nAnswer: 41166","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 20987925835 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 230 = -7*y - 9759. Let m = 3358 + y. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -3 divided by 34851?\nAnswer: -1\/11617","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-3)\/(-3) - (3 - 2). Solve -2*m = 5*p - p + 2, -5*p - 3*m = a for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1\/2 in 0.5, 4, 113, -3.92?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*m - 56 = -5*o, 0 = -2*o - 0*o + 5*m + 10. Let a = 14 - 9. Calculate the lowest common multiple of a and o.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 1254 and -1?\nAnswer: -1254","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let r(h) = -h. Let t = -6 - -8. Let s(l) = 4*l**2 + 1 - 1 - 3*l**t. Give r(s(k)).\nAnswer: -k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 (base 10) in base 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 7 + 7 - 11 - (-2 + -2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: (11\/(-5))\/(-5*(-15)\/750)\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5 - 20 = -5*c. Let y(j) = -j + 3*j**3 + 4 + c*j**3 - 5*j**3 - 2*j**3. Let w be y(0). Let f(r) = r**3 - 3*r**2 - 5*r + 1. Give f(w).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*r - 5*r = -30. Let z = -47084 - -47157. Calculate the remainder when z is divided by r.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 69 and 246?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 82 - 82.064. Let v = 0.112 + w. Let k = 0.101 - v. What is k rounded to 2 decimal places?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -7*((-189)\/(-441))\/((-6)\/(-8)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, 3, 0, 23 in ascending order.\nAnswer: -5, 0, 3, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -7*z + z - 4*z.\nAnswer: -10*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let b(o) = -6*o - 2. Let r(k) = -16*k + 185. Give 4*b(q) - r(q).\nAnswer: -8*q - 193","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -8, 4, 16, 28?\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, 1, 0, 3.\nAnswer: 0, 1, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -o**2 - 2*o**4 + 1 + 85*o**3 - 85*o**3 to l*o + g*o**3 + w + h*o**2 + a*o**4 and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 26 and 4394?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -9 + (6 - 8) + 10?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y(l) = -4*l**2 - 187*l + 444. Let c be y(-49). Solve -c = 3*h - 3*k, 9*k = 4*h + 13*k - 12 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 491635 less than -14.98946?\nAnswer: -491649.98946","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4\/3, 16, 4 in descending order.\nAnswer: 16, 4, -4\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 + 0 + b)*(3 - 3 + 2) - 2*b + 4*b - b + 2*b - b - 3*b - 8 - 4*b + 8 + (b + 4*b - b)*(-2 + 1 - 2) + (-2 + 2 + 1)*(b - b - 3*b).\nAnswer: -18*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -875684 and 1.3?\nAnswer: 875685.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Total of 298 and 587.\nAnswer: 885","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 4125199680 a multiple of 168?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 262900 and 956000?\nAnswer: 10516000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 11\/(23562\/1020)*9\/(-6).\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(g) = 4*g**2 - 6*g + 6. Let k(b) be the first derivative of 7*b - 7\/2*b**2 + 4\/3*b**3 - 2. Determine 6*k(p) - 7*y(p).\nAnswer: -4*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 - 1 - 1)*(-4*o + 6*o + 4*o)*(24*o**3 - 6*o**3 - 7*o**3).\nAnswer: -132*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 16787539.\nAnswer: 23, 157, 4649","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q*q*q**6*q*q*q**6*(q\/q**(2\/13))\/((q*q*q*q**(-2\/13))\/q*q))\/((q\/q**2*q**6)\/(q**(-2)*q\/q**6)) assuming q is positive.\nAnswer: q**2","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 32774?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00066 to 5 dps.\nAnswer: -0.00066","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.192 and -524253.\nAnswer: -100656.576","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -299 = 6*u - 317. Suppose u*w - 93 = 1017. What is the hundreds digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(s) be the second derivative of 7*s**4\/12 - 5*s**3\/6 + s**2\/2 - 10*s - 3. List the prime factors of l(5).\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 392, -3, -5, -1, 5 in decreasing order.\nAnswer: 392, 5, -1, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4 divided by -29.\nAnswer: -4\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -49*w = -46*w + 4*h - 38109, -5*w + 63538 = -h. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (15\/(-6))\/(52\/(-78)).\nAnswer: 15\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.32 - -24687.\nAnswer: 24687.32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: (-1926)\/(-1498) + 96\/7\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5043*d**2 - 3999*d**3 - 5043*d**2 + 1999*d**3 + 1998*d**3.\nAnswer: -2*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 375 or 0.157366?\nAnswer: 375","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 170 is divided by 61?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Factor x**2\/3 - 12586*x - 7324543\/3.\nAnswer: (x - 37951)*(x + 193)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (60\/40)\/((-114)\/8)?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -77\/1053 and 44\/5.\nAnswer: 5265","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Does 49 divide 11456151?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -5 + 11. What is the units digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many nanometers are there in 531.1739mm?\nAnswer: 531173900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 4 + 2086*g**2 + 13 + 21*g**2 + 47*g - 11*g**3 + 12*g**3 wrt g.\nAnswer: 6*g + 4214","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -209*d**3 - 183*d + 60*d**3 + 95*d**3 + 375*d - 192*d + 56*d**3.\nAnswer: 2*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let w(x) = x**2 + 16*x + 81. What is the lowest common multiple of w(-13) and 140?\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 575872220 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -2592, -2399, -2224, -2079, -1976, -1927?\nAnswer: -1944","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: 1 + -20010456\nAnswer: -20010455","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 123 minutes after 7:49 AM?\nAnswer: 9:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let j(q) = -2832*q - 5. Let s(i) = -1643983*i - 2902. What is 2902*j(p) - 5*s(p)?\nAnswer: 1451*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:17 AM and 10:13 AM?\nAnswer: 416","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*f - 8*f - 8740 = -38*f - 43*f for f.\nAnswer: 115","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let a(o) = -6116*o - 1194*o - 2 + 5 - 6573*o. Let j be a(1). Let y = j - -416437\/30. What is the common denominator of y and -79\/8?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from vyyyyoyynvvnyvy. Give prob of picking 1 o and 2 v.\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let m(c) = -7*c**3 + 2*c**2 - c. Let q(i) = -14*i**3 + 4*i**2 - 2*i. Let b(n) = 7*m(n) - 3*q(n). Calculate b(1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 1.86 + -1.24. Let q = -4.38 - s. What is the closest to 2\/5 in -1, q, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -15*y**3 + 260*y**2 + 815*y - 300 = 0.\nAnswer: -3, 1\/3, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand (231*m + 35*m**2 - 231*m)*(-4 + 2 + 6)*(-m + m + m**2)*(-2 + 2 + m) - 6 + 2*m**5 + 6.\nAnswer: 142*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from lllllfllllllllfffll. Give prob of picking 1 f and 1 l.\nAnswer: 20\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 8 and 0.01.\nAnswer: 0.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 647 minutes before 10:33 AM?\nAnswer: 11:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (2 - -31) + -85 - -80.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 226053 - -212368. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(y) be the first derivative of 2*y**3\/3 + 7*y**2\/2 + 8*y + 15. Let q(i) = 2*i**2 + 6*i + 8. Let j(n) = 3*q(n) - 4*r(n). Factor j(k).\nAnswer: -2*(k + 1)*(k + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -1086005*n**5 - 1223929*n**2 - 2*n + 1?\nAnswer: -65160300*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let b(g) = -59*g + 15308. Let i(q) = 79*q - 15310. Calculate -4*b(h) - 3*i(h).\nAnswer: -h - 15302","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let z(x) = -x**3 - 2*x**2 - 2*x + 9. Let b be z(0). Solve 3*o + b = g, -2*o - 15 = 3*o - 2*g for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*j**3\/7 + 1878472*j**2\/7 + 11270778*j\/7 + 16906140\/7.\nAnswer: 2*(j + 3)**2*(j + 939230)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -13*t - 87891 + 162200 = -409824. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -372164 - 16?\nAnswer: -372202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 s and 1 t when two letters picked without replacement from ttttttsttts.\nAnswer: 18\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*k + 2*k - 8 = -4*l, -4*k = 3*l - 6. Suppose k = q - 2*q. Let p(u) = u - 38 + 68 - 37. What is p(q)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(q) = -q**3 - 3*q**2 - 5*q + 2. Let l be j(-2). Which is the nearest to l?  (a) -0.3  (b) 2\/13  (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1632680447+4\nAnswer: 1632680451","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 83138?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 2*k - 4*w - 33 + 25, 3*w = -5*k - 32 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 27698 - -51247. List the prime factors of y.\nAnswer: 3, 5, 19, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*r + 25 = 3*j, -3*r + 20 = 2*j + r. Suppose j*k = -5*k + 135. List the prime factors of k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -164*f + 2150 = -111*f - 66*f - 73*f for f.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*d - 68 = -276. What is the remainder when d is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(i) = 12362*i. Let t(j) = -4*j**2. Calculate s(t(w)).\nAnswer: -49448*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -1612 + 2445. What is the hundreds digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-64)\/12)\/(2\/24*(-668)\/167)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*j - g, 4*j - 2*g = g. Suppose 5*r + 2*w - 11 = j, 3*r + 1 - 19 = -5*w. Which is the smallest value?  (a) r  (b) -0.4  (c) 10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 84 + -84. Suppose 5*j + 3*u - 41 - 31 = m, 4*j + 4*u - 64 = 0. Solve j = -2*v + 6 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 3*f - 2*u + 3, -63*u = -60*u + 9 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in twenty-five halves of a litre?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.6044034l in millilitres?\nAnswer: 604.4034","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -26993300 rounded to the nearest 1000000?\nAnswer: -27000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*w = -w. Suppose 3*y + w*y = 72. What are the prime factors of y?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -125\/372 and -3\/434.\nAnswer: 2604","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.02085 in 2\/3, -3.49, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 10112 (base 3) in base 16?\nAnswer: 5f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*s - t = 11, -3*s + 5*t = -2*s - 17. Suppose -9*i = -7*i - s. What is the units digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-2)\/(-2)*(-1)\/(-12)\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*q = x - 17160 - 2518, 19713 = x - 4*q. What are the prime factors of x?\nAnswer: 47, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 3\/48*2*2. Let v = 2 - -1. Suppose 5 = -2*c + v. Which is smaller: p or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 0.95, 0.3, 2\/9, -17, 5\/8, 0.1?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Find v, given that -6*v**3 - 2*v**2 + 4*v = 0.\nAnswer: -1, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 49\/163704 and 32\/399.\nAnswer: 1145928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let x(u) = u**3 - 274*u**2 - 9454*u - 529. Calculate x(305).\nAnswer: -224","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 104365868, 104365869, 104365870?\nAnswer: 104365871","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 707 is divided by 107?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 12064, 8760, 5456, 2152?\n\"Answer: -3304*a + 15368","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 18, 57, 118, 207, 330, 493, 702?\nAnswer: 963","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert 354a4 (base 15) to base 4.\nAnswer: 221131030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round -36525600 to the nearest 1000000.\nAnswer: -37000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -0.4 + 0.2. Let p(z) = 298*z + 3872. Let h be p(-13). Which is the closest to s?  (a) h  (b) 3\/4  (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(34) + (-1*sqrt(1666) - sqrt(1666)) + sqrt(1666))\/(sqrt(2) + (-4*sqrt(22))\/sqrt(11)).\nAnswer: 2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ul when two letters picked without replacement from sllxlulul.\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 122*b*n**2 + 6*b*n - 6*n wrt n.\nAnswer: 244*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let w(b) = b**2 + 7*b + 7. Let l be w(-5). Let m(u) be the third derivative of -3*u**4\/8 + 7*u**3\/6 + 21*u**2. Let o(x) = -5*x + 4. What is l*m(g) + 5*o(g)?\nAnswer: 2*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 13 - (7 - -13) - -16?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 57 and 9.\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many microseconds are there in 1.393064 minutes?\nAnswer: 83583840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -19 - -15. Let t be 0 + 10*d\/(-8). What is the highest common factor of t and 55?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(q) = 2*q + 5. Let g(j) = -1 - 280*j**2 + 94*j**2 + 90*j**2 + 95*j**2. Give 4*g(v) + z(v).\nAnswer: -4*v**2 + 2*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 259 + -263. Is u equal to -21?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*d + 27378 = 5*d. Suppose -73*g = -46*g - d. What are the prime factors of g?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1042?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: 2 divided by 1215\nAnswer: 2\/1215","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -7\/2?  (a) 0.4  (b) -1  (c) -949  (d) 2\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 34 + -44. Let b = m - -15. Suppose -3*u + 164 = -b*f, 3*u - 3*f = -78 + 252. What is the tens digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 3.9?  (a) 0.4  (b) -11  (c) -1\/10  (d) 0.296  (e) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let x be ((-4)\/2)\/((-10)\/25). Suppose -h + x = 10. Let k = h + 28. What is the units digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 7455 is divided by 686?\nAnswer: 595","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 806.5 - 806.9. Which is the closest to 3?  (a) 0.2  (b) r  (c) 2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -7\/34 and 151\/408?\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1*(-6*(3*sqrt(19)*4 + -4) - (-5 + -6*2*sqrt(1900) + sqrt(1900)))**2.\nAnswer: 2204*sqrt(19) + 28277","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Convert 4 (base 8) to base 9.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0 (base 5) to base 16.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 1081702 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-213)\/1136)\/((-18135)\/(-744)).\nAnswer: -1\/130","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -8, -18, -28, -38, -48, -58?\nAnswer: -68","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -41*j**3 + 97*j**3 - 47*j**3.\nAnswer: 9*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (7 - 3) + (187 - -2). What is the common denominator of j\/20 - (-6)\/(-24) and 6\/15 + (-776)\/90?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -48902052 divided by 12225513?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1364358 is divided by 26734.\nAnswer: 924","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Express -239*t + 484*t - 243*t + 3690*t**2 - 842*t**2 + 422*t**2 in the form w*t**2 + d + n*t and give w.\nAnswer: 3270","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when (-34)\/((-2)\/12*4) is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(b) = -2781*b - 33. Let n(x) = 5550*x + 77. Let l(m) = 7*k(m) + 3*n(m). Let s(p) = 4*p**2. What is l(s(z))?\nAnswer: -11268*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2328*h + 20691 + 35399 = 2546 for h.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Divide -69588 by 4.\nAnswer: -17397","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let z(u) = -u**2 + 4*u - 3. Suppose -r + 57 = 2*r. Suppose -5*k = -30 - 0. Suppose k = 5*w - r. Calculate z(w).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-2)\/(7\/((-84)\/8)). Solve 0 = -l*v + 4*w, v = -w - 1 + 8 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -8*(-10)\/(-70)*14\/(-6).\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 3 - (2 - 1 - -4)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g(d) = 17*d + 5. Let u(p) = 840 - 1714 + 886 + 42*p. Let v = -3 - 9. What is v*g(q) + 5*u(q)?\nAnswer: 6*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*((-2*sqrt(6336) - sqrt(6336)) + 3 + sqrt(44) + (sqrt(88)\/sqrt(2) - sqrt(44)) + 5 + 3))**2*4.\nAnswer: -24640*sqrt(11) + 864336","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -71 - -64. What is the smallest value in 0.2, 2, w, -2\/9?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 2*x**5 + 60*x**4\/7 + 58*x**3\/7 + 12*x**2\/7 = 0. What is x?\nAnswer: -3, -1, -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 v when two letters picked without replacement from {y: 4, u: 2, v: 10}?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-2)\/17 + (3\/68)\/(63\/(-2926)). Which is the nearest to 2?  (a) 9  (b) s  (c) -1  (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 300 and 2785.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let r(c) be the first derivative of c**3\/3 - 2*c**2 - 3*c + 1. Let j be r(-2). Suppose 91*y + 150*y = -81*y + 1610. Solve -2*b + j = -y*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, 2, -13\/204, -1, 1 in increasing order.\nAnswer: -3, -1, -13\/204, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 208377\/(-5292) + (-3)\/9. Let v = d + 159\/4. Which is smaller: v or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 11 divided by 1601?\nAnswer: 11\/1601","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: 211212111 (base 3) to base 5\nAnswer: 1013142","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Divide -29404 by 16.\nAnswer: -7351\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:41 PM and 4:26 PM?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is (-6)\/(-4)*(2\/(-8) - 22\/(-24))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 6?  (a) -0.3  (b) -5  (c) 0.06  (d) 32\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence dd when two letters picked without replacement from zddgdddzgzzgdzgdd.\nAnswer: 7\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 1392\/7 + -533143\/2681. Let u = k - 757\/3447. Let s = -6\/17 - -19\/102. What is the second smallest value in s, u, -0.4?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0039235 to five decimal places.\nAnswer: -0.00392","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let y(l) = -4*l - 12. Let m be y(-4). Suppose 3*f + 17 = m*k - 21, -5*f = -3*k + 45. Calculate the least common multiple of 26\/8 + f\/24 and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -1003918, -1003630, -1003340, -1003048, -1002754?\nAnswer: -1002458","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand -v + 2 - 2 + (22*v + 10*v - 24*v)*(0 + 2 - 4) - 3*v - v + 3*v - 3*v + 2*v + 2*v.\nAnswer: -17*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 883240, 1766484, 2649728, 3532972, 4416216?\nAnswer: 5299460","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 454, 879, 1258, 1585, 1854, 2059, 2194?\n\"Answer: -o**3 - 17*o**2 + 483*o - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 y, 1 j, and 1 n when three letters picked without replacement from njjxxyjjjjnjxnjy.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 5630 and 176689105.\nAnswer: 2815","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 9294?\nAnswer: 2, 3, 1549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Sort -27, 13, -2, 5 in decreasing order.\nAnswer: 13, 5, -2, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*m - 5 - 7. Suppose 0 = -0*z - 2*z + m. Suppose 0 = -2*u + z*l + 36, u - 2*l = 6 + 12. Is 9 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 6\/(-60)*-2368 - (-4)\/(-5). Does 12 divide t - -4 - 0\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (1080\/(-140))\/18 - (76\/(-14) - -1). Solve 4*f = -c*d - 32, -3*d + 7 + 1 = -5*f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -15 = 2*w + j, 2*j + j - 5 = 4*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.001?  (a) -2  (b) -1\/3  (c) -43  (d) 0.026  (e) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Convert 90553.44 millilitres to litres.\nAnswer: 90.55344","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -b - 20 = -2*q + 3*b, -5*b = 25. Let u(y) = -y**3 + q - 2*y**2 - 3 + 11 + 2*y - 6. Calculate u(-2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 47020342?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: -1110111001101111011100 (base 2) to base 10\nAnswer: -3906524","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -6448\/3 - -2148. Which is the fourth smallest value?  (a) v  (b) -0.3  (c) -2\/49  (d) 0  (e) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4 + sqrt(448)*-5.\nAnswer: -40*sqrt(7) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 34194 + -1?\nAnswer: 34193","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let r(v) = -4*v**2 + 5*v - 2. Let y be r(4). Let q = y + 22. Let j = q - -71. Is j 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 97531?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 178 + -182. Suppose 0 = -2*g - 2*g - 356. Let q = g + 263\/3. Which is the nearest to 3?  (a) q  (b) -0.1  (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 17144, 17109, 17074, 17039, 17004?\nAnswer: 16969","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -2  (b) -5  (c) 2\/17  (d) -2692\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -234*j**2 - 228*j**2 + 466*j**2.\nAnswer: 4*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 59.2 + -67. Let h = 2.8 + v. Sort 3, 1, h in descending order.\nAnswer: 3, 1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from pppppppxppppp. What is prob of sequence xpx?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5*(-1*(sqrt(300) + sqrt(300) + 0 + -3) - (sqrt(300)*-1*-2*-1)**2).\nAnswer: -5985 - 100*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 28\/9?  (a) -0.2  (b) 0  (c) -1\/12  (d) 0.16  (e) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x**(2\/7)*x**(1\/4)*x)\/(x\/x**(-2\/15)*x*(x**(-2)\/x)\/x)*(x\/((x**1*x)\/x))**(-5\/4)\/(x**(-5\/4)*x\/(x\/(x*x**(4\/5)*x))) assuming x is positive.\nAnswer: x**(389\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 173 minutes after 7:44 AM?\nAnswer: 10:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*u - 3*u + 0*u + (2 - 1 + 1)*(-u - u + 3*u))*(-366 + 216*u - 105*u - 112*u).\nAnswer: u**2 + 366*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 4210000 rounded to the nearest one million?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 113, 433, 967, 1715, 2677, 3853, 5243?\nAnswer: 6847","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 5\/6 of a minute in seconds?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((y*y**(-3\/2))\/(y**38*y*y))\/(y**(1\/15))**(-2\/25) assuming y is positive.\nAnswer: y**(-30371\/750)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 2\/67, -2\/17, 0.3?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 46810265 divided by 79?\nAnswer: 592535","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: 5 divided by -32754\nAnswer: -5\/32754","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (1 - 32) + (-17 - (23 + -56)).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r be -2 + (-44)\/(-7) - 68\/238. Let a(i) = -i**2 + 10*i + 2. Let g be a(7). Let v be 22\/(-33) - g\/(-3). Solve r*d = -5 - v for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1.43?  (a) 2\/5  (b) 2\/11  (c) 8\/23  (d) -307\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (0*r + r - 2*r)*(-4 + 1 + 1) + (-6440 - 263 + 1246 - 5894)*(r + 0*r - 4*r) to the form n + g*r and give g.\nAnswer: 34055","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is -501 less than 0.02905988?\nAnswer: 501.02905988","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence clnn when four letters picked without replacement from fncnclccl?\nAnswer: 1\/189","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -6*h - 2*h + 3482*h**2 + h + 3*h.\nAnswer: 3482*h**2 - 4*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: 6 (base 16) to base 5\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q(s) = 3*s**2 - 167*s - 44. Let c be q(56). What is the greatest common divisor of 1356 and c?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 72859 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 55 and 23435423?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many decades are there in 15249.36 months?\nAnswer: 127.078","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*w = -z - 0*w - 4, 2*z = -2*w. Suppose z*p + 2 = 4*p. Solve g - p - 4 = 0, -2*l - g = -7 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -1992076.68 to the nearest one thousand.\nAnswer: -1992000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -131 - -488. What is the common denominator of p\/30 + (-6)\/2 and 67\/16?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*m + 2*m + 0*m)*(4*m**3 + 2*m**3 - 4*m**3) + 19*m**4 - 8*m**4 + 0*m**2 + 7*m**2.\nAnswer: 7*m**4 + 7*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -14843, -14814, -14785, -14756, -14727, -14698?\n\"Answer: 29*z - 14872","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -391 - -563. Does 53 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 2423485401 to the nearest integer?\nAnswer: 1343","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2 + (sqrt(85)\/((sqrt(5) + sqrt(45)\/sqrt(9))*-3) - (4*(sqrt(17) - sqrt(170)\/sqrt(10))*3)**2).\nAnswer: -sqrt(17)\/6 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*u = 0, u - 5*u + 141 = 3*z. Let d = z + -23. Suppose -2*i = i - d. What is the units digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12*z + 68 = 56. Solve 11*b + z = 10*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*sqrt(76)*1*2)\/(-3*sqrt(16) + (sqrt(4) - -2*(1*sqrt(4) + sqrt(4) + sqrt(4)))).\nAnswer: 2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.4 * 667.65.\nAnswer: -267.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -58 - -63. Let n be 6\/((-2)\/(-4 - -2)). Let o be ((-4)\/5)\/((-2)\/5). Solve 3*m + o*z = n*z - 35, 5*z = -s*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*g - t = -3*t + 8, -4*g + 4*t + 32 = 0. Suppose -g*z + 4 = 0, m + z - 2 = 3. Let u(v) = v**3 - 5*v**2 + 5*v - 3. Determine u(m).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(p) be the second derivative of 23*p**3\/6 - p**2\/2 + 24*p. Let u be b(-2). Is u != -49?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(k) = 3*k**5 - 3*k**4 - 3*k**3 - 7*k**2 - 5*k - 5. Let t(f) = 2*f**5 - 2*f**4 - 2*f**3 - 6*f**2 - 4*f - 4. Let n(r) = 4*d(r) - 5*t(r). Factor n(a).\nAnswer: 2*a**2*(a - 1)**2*(a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-17 + 17 + 25*f)*(2 + 1 - 2)*(-f - 6*f + 5*f).\nAnswer: -50*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 31\/792 and -37\/190674.\nAnswer: 762696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Add 353424.8 and -0.4.\nAnswer: 353424.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (1 + -2 - (-1)\/(-2))\/6?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1 - (-9 - 3) - ((38 - 14) + 30).\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 2 + 348?\nAnswer: 34a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 320 minutes before 2:01 PM?\nAnswer: 8:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Factor g**4 + 28*g**3\/5 + 28*g**2\/5 - 16*g\/5.\nAnswer: g*(g + 2)*(g + 4)*(5*g - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let o(j) = -1595*j + 11177. What is o(7)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 211 - 211 + p + 0*p.\nAnswer: p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -b + 2?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Does 24 divide 86*(9\/(-6) + 2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 12 in -1\/12581, 0.4, 0, 6, 2?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let h(g) = 5*g**3 + 4*g**2 + 37*g - 8. Let a(z) = -11*z**3 - 9*z**2 - 75*z + 18. Calculate -4*a(k) - 9*h(k).\nAnswer: -k**3 - 33*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11*z = -10*z + 10. Let g = 83 - z. What is the tens digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(h) = h + 29. Let r(w) = 10*w**2. What is r(j(d))?\nAnswer: 10*d**2 + 580*d + 8410","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let t(h) = -h**3 + 438*h**2 - 24181*h - 4153. What is t(65)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from qwjejqqeqjqjw. Give prob of sequence weq.\nAnswer: 5\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 32\/5 of a litre?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -624*p - 62 = -655*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many nanoseconds are there in 8.108361s?\nAnswer: 8108361000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (2\/18*15)\/((-1)\/3).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1439575*d**3 + 719662*d**3 + 719839*d**3.\nAnswer: -74*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 150388.2s in minutes?\nAnswer: 2506.47","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3*(-1 + sqrt(1539)))**2 + sqrt(1539) + -2 + -3.\nAnswer: -153*sqrt(19) + 13855","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is (-12 - (16 - 6) - -13) + (-9 - -6)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many decades are there in 9\/10 of a millennium?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 49 (base 11) in base 7?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 11301, 22554, 33779, 44982, 56169, 67346, 78519, 89694?\nAnswer: 100877","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 62 = 3*h - 2*g, 3*h + 2 = -3*g + 44. Let b be h\/(-8)*80\/(-3). Let t = b - -30. Calculate the highest common factor of 10 and t.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 1\/11*c**3 - 400\/11*c + 0 + 18*c**2.\nAnswer: c*(c - 2)*(c + 200)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:09 PM and 9:52 AM?\nAnswer: 643","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -17 + 19. Factor 4*z**i + 36*z + 4*z**3 - 11*z**4 - 38*z + 9*z**4 - 2*z**5 - 2.\nAnswer: -2*(z - 1)**2*(z + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -6, -1, 36, 123, 278, 519, 864?\n\"Answer: 3*s**3 - 2*s**2 - 10*s + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -83.4893 + 10.4893. Let n = 15 - 11. What is the closest to 0 in b, n, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 11\/10 of a micrometer in nanometers?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -x + 173 = -8. Suppose -205 = -5*d - 5*g, 5*d = 2*g - g + x. Suppose 4*o - 27 = d. Solve 2*m + 10 = 2*t, -5*m - 3*t = -o + 1 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -11362437, -11362435, -11362433, -11362431, -11362429, -11362427?\n\"Answer: 2*j - 11362439","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is (-2)\/96*6984\/(-388)?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((k\/k**(5\/3))\/(k\/(k*k\/(k\/(k*k\/(k\/k**(-1\/4)))*k*k))*k))**(2\/7) assuming k is positive.\nAnswer: k**(-5\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.21 in 9, -0.05, -3138?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 222 is divided by 125?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2 + 7 - 2*x**3 + 2 + 17*x**3 - 11*x - 9 - x**2 to u*x**3 + o*x**2 + b*x + g and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let p(z) = 0 - 3*z - 7 - 2 - 1. Let f(l) = -16*l - 49. Let m(k) = 2*f(k) - 11*p(k). Let i be m(-9). Calculate the highest common divisor of 33 and i.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (2*l**2 + l**2 - 2*l**2)*(-79*l - 26*l + 28*l) + 0*l**2 - 3*l**3 + 0*l**2 to the form k*l**3 + m*l + g*l**2 + i and give k.\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is -6956575 greater than -6956575?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let d(n) = 7*n**3 - 7*n - 8*n**3 - 3 + 4*n**2 - 4 - 10*n**2. Let y be d(-5). Factor 13*f**3 - 15*f**4 - 45*f**3 - 28*f**2 + f + y*f**4 - 9*f.\nAnswer: -4*f*(f + 1)**2*(3*f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 6269 - 6239. Sort 42, m, 1 in decreasing order.\nAnswer: 42, m, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in two ninths of a day?\nAnswer: 19200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (n - n - n**2)*(-11*n**3 - n**3 + 6*n**3) + 4*n**2 + 2*n**5 - 4*n**2 + (2*n**2 - 3*n**2 - n**2)*(2*n**2 - n**3 - 2*n**2).\nAnswer: 10*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Round -1406.335 to 0 dps.\nAnswer: -1406","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Find m such that -41 - 2*m**3 + 69*m - 3*m**2 - 35*m**2 + 59*m - 79 + 4*m**3 = 0.\nAnswer: 2, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -40597.71630412 - 15.38333588. Let n = -40611 - b. Let t = n - 2.1. Round t to 4 dps.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -67, 3, 1\/4, 2, -5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let x(p) = -p**2 + 10*p + 36. Let s be x(13). Let h(f) = -2*f**2 - 4*f. What is h(s)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 218, -317974, -3?\nAnswer: -317974","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -5 - -4. Let u be (-4 - (0 + -2))*-13. Suppose 4*o - u + 2 = 5*k, -4*k - 2*o - 14 = 0. What is the nearest to t in 4, k, 3?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w**(-8\/7)*w**(-2\/13)*w)**(-1\/29) assuming w is positive.\nAnswer: w**(27\/2639)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*k**5 - 6*k**4 + 189*k**3 + 324*k**2 - 2268*k = 0. What is k?\nAnswer: -6, 0, 3, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -703*i - 563 = -681*i - 13 for i.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 300806830?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let r(a) = -3*a**3 - a**2 - 2*a - 1. Let t be r(-1). Suppose 6*j - 3*j + 6 = -3*f, 5*j = 3*f - 10. Suppose f = -t*g + g + 298. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5*(sqrt(2299)*1 + sqrt(2299) + -5 + (sqrt(2299) - (-1 + sqrt(2299))*-1)))**2.\nAnswer: -13200*sqrt(19) + 920500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: (-2)\/(-4) - 270\/252\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 547 - 536 - (-3 - (-2 + -1 + -2)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 2\/9, -7, 0.5?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -2\/69103 and -58\/25459.\nAnswer: 483721","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-3 - -1 - 6 - 0) + 4?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1 + sqrt(272)*3)**2 + 2 - ((sqrt(187)*2 + sqrt(187) - sqrt(187))*-1)\/(1*sqrt(891)).\nAnswer: -214*sqrt(17)\/9 + 2451","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1007*m = 1010*m - 2*a - 3, -2*a = -2*m + 2 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 j and 1 h when three letters picked without replacement from hjhjjj?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-3*t**2 + 12*t**2 + 16*t**2)*(-1 + 5 + t - 1) + 2*t**2 + 2*t**3 + 1 + 85*t + 84*t - 177*t to the form r + h*t**2 + n*t + v*t**3 and give n.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -334 + -127. Let r = f - -860. What is the tens digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(s) = -20*s**2 + 10*s + 4. Let w(n) = 2*n**2 - n - 1. Let y(t) = g(t) + 12*w(t). Let m be y(3). Solve -m*a = -23*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(c) = c**3 - 7*c**2 + 11*c - 7. Calculate the smallest common multiple of t(7) and 70.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(d) = -13*d - 255. Calculate l(-20).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -8783, -17586, -26389, -35192, -43995, -52798?\n\"Answer: -8803*l + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p(g) = -g**2 + g + 1. Let u be p(-1). Let j be 70\/(-22) + 2 - u. Let l = -0.1 - -0.1. Which is the second smallest value?  (a) l  (b) 3\/5  (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 61\/1681955 and -61\/495.\nAnswer: 15137595","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is -64 - 39979614?\nAnswer: -39979678","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let t(w) = -6*w**3 + w**2 - 4*w - 1. Let a(q) = 5*q**3 - q**2 + 3*q + 1. Let f(x) = 4*a(x) + 3*t(x). Give f(-1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 10.65 rounded to one dp?\nAnswer: 10.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -16*x - 2028130 + 364898 = 0. Let b be -2880*(-4 + x\/12). Round b to the nearest one million.\nAnswer: 25000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-1953)\/(-558))\/(4 + 8055\/(-1998))?\nAnswer: -111","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(l) = -13*l**2. Let x(y) = 36*y**2. Determine x(n(m)).\nAnswer: 6084*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 - 3 - 1)*(-2*d**5 + d**3 - d**3) - 618*d**5 - 735*d**5 + 1674*d**5.\nAnswer: 325*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -6101*k**2*p**4 - k**2*p**2 - 2*k**2 + 10*k*p**3 - 3*k - 3*p**2 wrt p.\nAnswer: -146424*k**2*p + 60*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -5*q - 9*q - 21*q - q to i + a*q and give a.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: (-2)\/12 - (-8)\/3 - (-26)\/4\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 136 or 656?\nAnswer: 656","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00051560461 rounded to four dps?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-6*((-5 + (sqrt(168)\/sqrt(3))\/sqrt(7) - (-5 + 0 + sqrt(2) + -2*sqrt(98) + -3)) + -3))**2.\nAnswer: 16200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let u(j) = 2*j**3 + 4*j**2 + j - 11. Let i(x) = 6*x**3 + 13*x**2 + 4*x - 34. Determine 2*i(f) - 7*u(f).\nAnswer: -2*f**3 - 2*f**2 + f + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 224\/(-24) + (-2)\/(-6). What is the common denominator of p\/4*64\/(-12) and 81\/2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*m + 4*h - 11519 = 0, -h + 326 = 320. Calculate the greatest common factor of 242 and m.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 19154850.\nAnswer: 2, 3, 5, 11, 13, 19, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let l(c) be the third derivative of -c**4\/24 - 5*c**3\/3 - 94*c**2 - 3. Give l(-10).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2709744768 a multiple of 423?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*w = 4*o + 132, -2*o - o - 183 = 4*w. Let k be (-3384)\/w*(-296)\/(-6). Suppose 4*z + k = 4*r + z, 3*r = -3*z + 2619. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2\/5 in -2, 5, -0.5, -2\/3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -137584*n**4 - 75658*n**2 + 1 wrt n.\nAnswer: -3302016*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let k(h) = -799*h**2 - 153. Let m(a) = 21*a**2 + 4. Suppose -3*s - 46*g = -41*g - 454, 2*s - g - 307 = 0. Determine s*m(l) + 4*k(l).\nAnswer: 17*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (48\/(-360))\/(2\/(-30)). Sort -6, f, 5, 0 in ascending order.\nAnswer: -6, 0, f, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -89\/924 and 95\/303864?\nAnswer: 2127048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let t(j) = -100*j - 235. Determine t(-2).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 87.2 + -87. Sort -0.7, 2\/9, c, -9 in descending order.\nAnswer: 2\/9, c, -0.7, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -30 + s**2 - 24 + 101 - 32 - 39.\nAnswer: s**2 - 24","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((y**(2\/7)*y)\/y)**(-18\/13)\/(y**0)**26 assuming y is positive.\nAnswer: y**(-36\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-150)\/105 - -2 - 1464\/2464?\nAnswer: -1\/44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (1\/(-3))\/((145\/60)\/29).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Does 254 divide 48768?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let l(v) = 0*v**2 + v**2 + 3*v**2. Let n(m) be the first derivative of 2*m**3\/3 + 5*m + 11. Let y(t) be the first derivative of n(t). Give y(l(j)).\nAnswer: 16*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -935*t - 173618 = -937*t. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -1 - -136687264?\nAnswer: 136687263","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:04 PM and 5:13 AM?\nAnswer: 429","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 2700 and 220142100.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*t = 2*x + 5*t - 76, -5*x - t = -184. What is the lowest common multiple of x and (-2)\/(-14) + (-3263)\/(-91)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -783\/5 - -157. Let z = 0.7 + -1. Let u = -187 - -559\/3. Which is the second biggest value?  (a) u  (b) z  (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*t + 9 = 0, -193*t = 4*q - 198*t + 23 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -30 = -10*z + 50. Solve r + n + 4*n = -4, z = -2*r - 5*n for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -17202900 to the nearest one hundred thousand.\nAnswer: -17200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1\/3 in -5\/63, 1091, -1\/2, -0.01, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 41 minutes after 12:39 AM?\nAnswer: 1:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Add together 0.3 and -114451961.\nAnswer: -114451960.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 14786 - 14781. Let b be (8\/(-26))\/(4\/2). What is the closest to 0 in c, 2\/19, b?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ww when two letters picked without replacement from wwozzozovowwww.\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 1331921 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -489420, -490074, -490728?\nAnswer: -491382","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -253 = -b + 8*x - 225, -2*b + 4*x = -20 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 35 = -6*q + 11*q. Suppose -q = -5*f + 3. Suppose -4*v - 14 = -f. What is the smallest value in -0.5, 0, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(m) be the second derivative of -3*m**4\/2 - 2*m + 4. Let n(p) = -4*p. Give n(l(f)).\nAnswer: 72*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is (-8 + 915\/105)*(-4)\/(-5)?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(n) = -5*n - 3. Let j be q(-2). Let l be 6\/4 + j\/14. Put -2\/45, l, -0.5 in descending order.\nAnswer: l, -2\/45, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*l - 337 = -3*r, 2*l - l + 4*r = 81. Suppose c = p - 6 - 20, 4*c = -5*p + l. What is the remainder when 61 is divided by p?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:48 AM and 9:55 AM?\nAnswer: 127","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 388 is divided by 64?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let s(o) = -o**3 - 5*o**2 - 3*o + 7. Let j be s(-4). What is the tens digit of -4 + (j - 7 - -67)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 23319 bigger than 61206?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*u - j - 34 = 0, -j - j + 28 = -4*u. Let p = -8 - u. Solve -2*m = h - 6*h + 12, 4*h - 5*m - 13 = p for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1434*m - 721*m + 21747*m + 41.\nAnswer: 22460*m + 41","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -2 - 42?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1061618025.\nAnswer: 3, 5, 13, 1088839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Factor -l**2\/9 - 309800*l\/9 - 23994010000\/9.\nAnswer: -(l + 154900)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 207 minutes before 9:16 PM?\nAnswer: 5:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: -9871 (base 16) to base 9\nAnswer: -58471","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s(o) = -4*o - 3. Let y be s(-2). Suppose y*w - 4 = w. Let f = 3 - w. What is the units digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 2  (b) 1  (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 1416365159, 2832730317, 4249095475, 5665460633?\nAnswer: 7081825791","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 339 and 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1 + 5*k**2 + 1 - 15*k**2 + 9*k**2.\nAnswer: -k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -3146 + 3145.7765. What is y rounded to 2 dps?\nAnswer: -0.22","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 204522.\nAnswer: 2, 3, 89, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let f(i) = 5*i**2 - i. Let v be ((-14)\/(-49) + 20\/28)*325. Suppose 319*h = v*h + 12. What is f(h)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(b) = -60*b**2 - b - 1. Determine l(-1).\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 131, 115, 83, 29, -53?\nAnswer: -169","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:54 AM and 7:43 AM?\nAnswer: 289","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let t(n) = -5*n**2 - 4*n + 1. Let h(x) = 3*x**2 + 2*x. Let d(l) = 5*h(l) + 2*t(l). Is d(-4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(s) = -2*s**3 + 4*s**2 - 2*s - 2. Let j be i(2). Let f = 21 + j. Let k = 25 - f. What are the prime factors of k?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(u) = 27*u + 18. Let y be a(-4). What is the remainder when 46 is divided by 24*(y\/(-12))\/15?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 38389?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand k**2 + 4 + 0*k**2 - 2 - 8*k + (-k + 3*k - 3*k)*(0*k - k - k).\nAnswer: 3*k**2 - 8*k + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-4)\/(-28) + 1067\/77. Let w be (0 - 3) + (4 - 2)*u. Calculate the highest common factor of w and 45.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -68*c**3 + 21*c**2 - 23 + 204*c**3 - 65*c**3 - 68*c**3 - 30*c**2 as q*c + x + l*c**3 + z*c**2 and give z.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*l + 2181 = 5*r - 1059, 0 = 2*r - 3*l - 1277. Calculate the remainder when r is divided by 72.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 16 = -21*u + 17*u, -2*y + 2*u + 12 = 0. Calculate the greatest common factor of 6 and y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (11 - -2)*(-2 - -6)\/4. Suppose 117 = 3*x + 4*z + n, 36 = 2*x - 4*z. List the prime factors of x.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -13965331.3 to the nearest ten thousand.\nAnswer: -13970000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify u**(-12)*u**(-19\/4)*(u\/u**8)\/u**(-1) assuming u is positive.\nAnswer: u**(-91\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:39 PM and 3:35 AM?\nAnswer: 416","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let k(q) = 13*q + 15. Suppose 63*y - 49*y - 71 = 27. Let h(w) = -6*w - 7. Give y*h(x) + 3*k(x).\nAnswer: -3*x - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 10014?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Sort -43, -3, 39287, 0, 4, 1 in descending order.\nAnswer: 39287, 4, 1, 0, -3, -43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let p be -5 + 1 - -456 - -3. Let w = 5923\/13 - p. Suppose w*d**5 - 14\/13*d**3 + 2\/13*d**2 - 2\/13 + 0*d**4 + 6\/13*d = 0. Calculate d.\nAnswer: -1, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 3 divide 8732880?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 1193598 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Round -1.478 to 2 dps.\nAnswer: -1.48","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let n(l) = -10*l**4 + 63*l**3 + 4*l + 927. Let x(g) = g**4 - g. Let q(u) = -n(u) - 5*x(u). Find the second derivative of q(i) wrt i.\nAnswer: 60*i**2 - 378*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(b) = -b**2 + 20*b - 11. Let u(g) = -g**2 + g - 1. Let j(k) = t(k) - 3*u(k). Is j(-15) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -600258, 0, -436.\nAnswer: -600258, -436, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (6*n + 3*n + 6*n)*(-2 + 2 - n**2) to p + o*n**3 + h*n**2 + w*n and give o.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 7 - (-5)\/(-5)*(446 - 1). Is 0.6 greater than or equal to l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -0.31 + 0.3. Let r be (-31)\/(-2) - 19\/(-38). Suppose 189 - 141 = r*k. What is the nearest to k in s, -5\/4, -3\/4?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -120.523 rounded to one decimal place?\nAnswer: -120.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -101*l = 291 - 216 + 531 for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 y and 2 a when three letters picked without replacement from aaahyyytdahhyayhyzah.\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {p: 1, t: 2, w: 1, q: 1, h: 1, x: 2}. Give prob of sequence wxx.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 7.89 + -7.935. Which is the third biggest value?  (a) -0.2  (b) -2  (c) g  (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2186329.\nAnswer: 151, 14479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*b = -3*z + 37, -3*b = b - z - 25. What is the closest to -1\/2 in 6\/7, 0.1, b?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(c) = -3*c + 1. Let d be a(4). Let v(b) = b**2 + 2. Calculate the remainder when 1743\/33 + (-2)\/d is divided by v(-4).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2168946.54 rounded to the nearest one hundred thousand?\nAnswer: -2200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let l(w) be the first derivative of -25*w**2\/2 - 84*w + 13. What is the units digit of l(-18)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.12 times 391.07\nAnswer: 46.9284","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 835821461 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 i and 1 y when two letters picked without replacement from {l: 1, i: 5, o: 1, n: 1, y: 3}.\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2360 (base 7) to base 8.\nAnswer: 1553","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1001202 (base 5) to base 12.\nAnswer: -918a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4 + sqrt(363)*-1 + sqrt(363) + 4)**2.\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*v = v + 26. Suppose d = v - 22. Solve -d*u = b + 21, 0*b = -2*u + 3*b - 7 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0 or 392\/1959?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*h + 2 = -4*k + 6, -2*k = 5*h - 11. Let i(p) = 36 + 2*p**h - 15 - p + 2*p**2 - 20. Does 15 divide i(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -122, -159, -198, -239?\nAnswer: -282","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = y - 0*y - 5. Suppose y*m - 79 = 31. What is the smallest common multiple of m and 4?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 23 is divided by 15?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -27, -28, -29?\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve t + 6*o = -22, -4*t - 5*o - 24 = 7 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 5978914 is divided by 305?\nAnswer: 304","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence se when two letters picked without replacement from {e: 13, s: 3, o: 2}?\nAnswer: 13\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-11)\/(-4) + 11\/44. Suppose 0 = -2*v + l*v - 4*j - 20, 2*j = 3*v - 20. Solve 4 = -x + v*n, -x - 2 = 4*n + 2 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 166 minutes before 9:40 AM?\nAnswer: 6:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -5827546, -11655059, -17482572, -23310085, -29137598, -34965111?\n\"Answer: -5827513*b - 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 2928 and 137080176.\nAnswer: 2928","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Find x such that 2*x**5\/7 + 96688*x**4\/7 + 1163040458*x**3\/7 - 133846132548*x**2\/7 = 0.\nAnswer: -24229, 0, 114","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0*i + 4*i - 85*i**2 - 4 + 6 + 4*i - 6*i.\nAnswer: -85*i**2 + 2*i + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 4132105?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is -49252 >= -49256?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose z - 18 = -3*o, -3*o - o = -2*z + 26. Suppose 0 = -3*s - 2*s + 220. Calculate the remainder when s is divided by z.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(m) be the third derivative of m**5\/24 + m**3\/2 - 2*m**2. Let b(w) be the first derivative of y(w). Let p be b(4). Solve -3*n + p = 2*n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -0.0695 - -30.0695. Which is the second smallest value?  (a) t  (b) -0.3  (c) -5\/3  (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(r) = r**2 + 5*r + 4. Let k be b(-6). Suppose -22*i = 3*h - 25*i - 3, 0 = -i + 3. Solve -k + 26 = -h*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 520823*q**3*y**2 + 115*q**3 + q*y**2 - 1185*y wrt y.\nAnswer: 1041646*q**3 + 2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4*sqrt(1088)*2)**2*-3 - (((sqrt(1088) + -1)**2*-5 - sqrt(1088)) + 5).\nAnswer: -203456 - 72*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let m be -2 + (4 - 1) - -1*(-18)\/(-3). Which is smaller: 251\/30 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3780 a multiple of 63?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let c(m) = -168*m - 165. Let y be c(-4). Let d = -166 + y. What is the greatest common divisor of 22 and d?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find v, given that -7946*v**2 + 129344*v - 35328 = 0.\nAnswer: 1104\/3973, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 821?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 292?  (a) -0.3  (b) 94  (c) -1.46\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 0 - (-1)\/2*2. Suppose -3*h = -v - v - 2, 0 = 5*h + 2*v - 14. Let l = h + b. Does 2 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 39599 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 85 - 80. Suppose 0 = 4*i + m*t + 37, 0*t + 10 = -2*t. Suppose 0 = j - 2*j + 3. What is the second smallest value in j, 0.5, i?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 4\/351 - -21059\/30888. Let d = f - -5\/88. Factor -3\/4 - d*h**2 + 3\/2*h.\nAnswer: -3*(h - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.05091 and 0.4.\nAnswer: 0.020364","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*s + 0*s = -2*n - 200, 0 = 3*n + 4*s + 290. Let o = -56 - n. Suppose 214*r - 355*r + 11562 = 0. What is the remainder when r is divided by o?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -155*w**2*z**2 + 9*w*z**2 - 2*w + 10 wrt w.\nAnswer: -310*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1 in -768\/71, -3\/5, 3062?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let h(q) = -3*q**2 - 14*q + 30. Let w(g) = g**2 + 7*g - 15. Let b(a) = -2*h(a) - 5*w(a). Calculate the remainder when 23 is divided by b(6).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 109290 to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l\/(l**5\/l))\/l**(-3)*(l**(1\/5))**(-5) assuming l is positive.\nAnswer: 1\/l","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.5 take away 96003511?\nAnswer: -96003510.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 1827169.8301206603 - -10.1699493397. Let a = z + -1827169. Let o = -11 + a. Round o to five decimal places.\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -f = -45 - 78. Suppose 2*h - b = 251, -h + 2*b = b - f. Does 23 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 51*m**2 + 16 + 88*m**2 + 2*m**3 - 131*m**2 - 28*m + 2*m**3.\nAnswer: 4*(m - 1)**2*(m + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -43 - -63. Let h = o - 11. What are the prime factors of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1483135 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -t - 2 = -2*f - 0, -8 = 4*t. Which is smaller: f or 7\/5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2234577 to the power of 1\/2, to the nearest integer?\nAnswer: 1495","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.000586748587 to seven decimal places.\nAnswer: 0.0005867","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*k = 0, 9*l - 10*l - 4*k + 2 = 0 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 11 - (7 - (4 + -5) - 5).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -27.796694 rounded to 2 decimal places?\nAnswer: -27.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -22162.58054 - -22163. Round p to 2 dps.\nAnswer: 0.42","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -223*u + 188*u + 210 for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is (121 - 93465\/775 - (-29)\/(-60)) + 1009\/12?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 382.9741 - 345.034982. Let j = -0.0608495 - x. Let y = 38 + j. Round y to six dps.\nAnswer: 0.000033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, 4, 827, 1 in descending order.\nAnswer: 827, 4, 3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let d(q) = -3*q - 3. Let t be d(-3). Let z be (4 - t) + (-36)\/(-17). Suppose 0*w + 4*w = 0. What is the third smallest value in z, -0.3, w?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-11)\/(-22)*(-2)\/(-2)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 2466?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let c(v) = v**2 + 14*v - 22. Let b(d) = d + 1. Let r(a) = -6*b(a) - c(a). Let l be (1*(1 + 19))\/(-1). Is 16 a factor of r(l)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(g) = -g**2 - 4*g + 2. Let b be s(-4). Let i(y) = y**2 + 1. Let u(k) = -4*k**2 + 4*k - 4. Let m(q) = -2*i(q) - u(q). Let x be m(b). Solve -o = x*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4637451769 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, 3, 7, 2, -2403 in ascending order.\nAnswer: -2403, 2, 3, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Put -3, 6, -2, -34 in increasing order.\nAnswer: -34, -3, -2, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -0.2 from -10803432592.\nAnswer: -10803432591.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand 3*n - 3*n - 10*n + (-24 + 82 + 109)*(2*n - 3*n + 3*n).\nAnswer: 324*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let o(a) = 8*a - 68. Let l be o(8). Is (-19644)\/8*(l - -2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7\/8*d**2 + 3\/4 - 1\/8*d**3 + 1\/8*d**4 + 1\/8*d = 0 for d.\nAnswer: -2, -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -238481 and -8.9?\nAnswer: 2122480.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -0.44 or 0.083?\nAnswer: 0.083","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 3849074065?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose b + 2*a = 811, -b + 632 + 175 = a. Let o = -813 + b. Is -13 > o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -1150 - -623. Let v = -511 - x. Is 6 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*p + 4*p = 5*j + 15, 5*j = p - 15. Let u(s) be the first derivative of p*s + 4 + 4\/3*s**3 + 3\/2*s**2. What is the second derivative of u(n) wrt n?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many tonnes are there in 51474.75kg?\nAnswer: 51.47475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 5179005 less than -187421.65?\nAnswer: -5366426.65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4 + (sqrt(28)\/sqrt(4) - sqrt(7)) + -2 + sqrt(343) + (1 + -1*sqrt(343) - sqrt(343)))**2.\nAnswer: 70*sqrt(7) + 368","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let u(t) be the third derivative of t**6\/60 + 2*t**5\/15 - t**4\/3 - 4*t**3\/3 + 4*t**2 - 3*t. Let r(a) = a**3 + 5*a**2 - 5*a - 5. Determine 8*r(v) - 5*u(v).\nAnswer: -2*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 18*m - 12*m - 26454. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2667 is divided by 23?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 885, 1969, 3053?\n\"Answer: 1084*q - 199","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -16 + 290*a**3 + 16 + 253*a**3.\nAnswer: 543*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 7 in -6, -0.2, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 59235.\nAnswer: 3, 5, 11, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3 + (sqrt(9)\/(sqrt(9)\/sqrt(108)) - (sqrt(30)\/sqrt(5))\/sqrt(2)*-5).\nAnswer: -3 + 11*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: -364 divided by 4\nAnswer: -91","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*l + 4*l = 40. Suppose 4*j - 14 = l. Let f = -2 + 4. Solve -j = -f*p - 0 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 78301228*w**5 + 11*w**2 - 1880722*w?\nAnswer: 4698073680*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 10066 to the nearest integer?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 (base 8) in base 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 46.73 - 47.73. What is the nearest to -2\/5 in k, -1\/11, 34?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -221, -279, -339, -401, -465, -531, -599?\n\"Answer: -x**2 - 55*x - 165","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -0.5  (b) -4\/7  (c) 4  (d) 9  (e) 1\/2  (f) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 5\/24 - -10*(-9)\/270. What is the second smallest value in -1\/7, z, 0.09, -2?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-44 - -38) + (2 - (-2 - -6)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put -5\/26, 4, -1\/9, -0.193 in increasing order.\nAnswer: -0.193, -5\/26, -1\/9, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:58 AM and 2:47 AM?\nAnswer: 49","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -87\/41720 and 117\/146020.\nAnswer: 292040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-4)\/10 + (-24)\/(-10). Let t be 2 + (1*-2 - -2). Let x be -2*(-1)\/t + q. Solve x*w - 7 = -1 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(o) = o - 17. Let s be w(10). Let y(l) = l**3 + 8*l**2 + 6*l - 2. Calculate y(s).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(n) = 0*n**2 - 7*n**2 - 4*n**2 - 1 + 10*n**2. Let o(c) = -2*c - 5. Let f be o(-4). Let r(i) = i**2 + 4*i + 1. Let k(v) = f*l(v) + r(v). Factor k(j).\nAnswer: -2*(j - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 25.83 - 32.83. Which is the smallest value?  (a) -0.04  (b) 0.3  (c) 0  (d) q\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence cya when three letters picked without replacement from {c: 1, e: 1, y: 1, h: 4, a: 1}.\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 16 - -7. Is 23 <= d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -23.4 + 23. Put 1\/3, i, -2\/11 in descending order.\nAnswer: 1\/3, -2\/11, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 16*k**2 + 251*k**3 - 16*k**2 + 386*k**3 + 382*k**3 - 264*k**3.\nAnswer: 755*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 7396870 divided by -56899.\nAnswer: -130","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 29*g - 6622 - 36008. Suppose 5*w - 5*f + 469 - 7849 = 0, 0 = w - 4*f - g. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -67*q**4 - 66*q**4 + 43*q**4 + (6 - 4 + 8)*(4*q**2 + 0*q**2 - q**2)*(1 + 2*q**2 - 1).\nAnswer: -30*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -7\/464?  (a) -3\/5  (b) -4  (c) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -1 + -4 + (2 - -10 - 10) + 27?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 9*f = 4*f + 15 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let i(g) = 29*g - 827. Let l be i(29). Solve -l = -3*k - 8 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -21 - ((6 - (4 + -15 - -1)) + -5)?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is (-6*4\/14)\/((-10)\/35)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 644 and 1012?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let n(y) = 5*y**2 + 55*y + 106. Let s be n(-9). Solve -s*v + 13*v = -6 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (70*a - 39*a + 58*a)*(-2*a - 4*a + 4*a).\nAnswer: -178*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 6 - 11\/22*1*8. What is the third derivative of -31*p**3 + 74*p**2 - 18*p**m - 38*p**2 wrt p?\nAnswer: -186","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(x) = 3*x - 50. Give p(-9).\nAnswer: -77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 142?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let a(n) be the second derivative of -n**7\/42 + n**4\/2 - 5*n**2\/2 + 14*n. Let l(y) be the first derivative of a(y). What is the second derivative of l(d) wrt d?\nAnswer: -60*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(i) = -4*i + 1. Let a(g) = -g**2 - 2288*g - 1313317. Let k(t) = 5*a(t) + 5*x(t). Suppose k(u) = 0. Calculate u.\nAnswer: -1146","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*y + 2*j - 147, -y - 4*j + 2*j = -23. What is the highest common factor of y and 31?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(p) = -1200*p + 41881. Give y(35).\nAnswer: -119","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3681 divided by 409.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*-5*-1*sqrt(65))\/((sqrt(605) - 2*sqrt(605))*-4)*-2.\nAnswer: -5*sqrt(13)\/22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 381743111 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z**3\/(z\/z**(-1\/2)))\/(z**1*z*z)**(-1\/7)*(z*z**(1\/14)*z*z)\/z*z**(-8)*z*z**(-2)*z*z**(-9)\/z assuming z is positive.\nAnswer: z**(-14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Express -2*g**2 + 170*g**3 - 36*g**3 - 35*g**3 - 7 - 24*g**3 - g - 46*g**3 in the form w + q*g + k*g**2 + c*g**3 and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*t + 14 = f + 5*t, 5*t - 26 = -4*f. Suppose -2*p + 25 = 4*m + 9, 3*m = -f*p + 17. Solve 6 = 2*c - 0, p*o = -5*c + 7 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -13 + 16. Suppose 2*l = -4*j - 2, 0*j + 2*j = n*l - 5. Let g(z) = 6*z**2 + z. What is g(l)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (5 + 45\/(-6))*4\/(-2). Suppose -54 + 14 = -y*j. What is the highest common divisor of j and 216?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(g) = 15*g. Let v(c) be the first derivative of -4*c**3\/3 - 39. Determine v(m(a)).\nAnswer: -900*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*s - 8*a + 3*a + 101 = 0, 4*s + 3*a = 45 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 360 is divided by 14?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -11, -3, 11, 31?\n\"Answer: 3*z**2 - z - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 13 + -7. Suppose 0 = -k + 4*s + 3, 32 = -k + f*k - 3*s. Let a = 8 - 4. Calculate the remainder when k is divided by a.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 40 is divided by 13.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 312 is divided by 74.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: -215104521 (base 6) to base 4\nAnswer: -32303211001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when ((-77478)\/(-10212) + 4\/(-46))\/(6\/172) is divided by 169?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.4 and 200139881.\nAnswer: -80055952.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*i = 3*i + 7. Suppose i*l = 5*l + 6. Solve 4 - 13 = l*d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -257*z + 524*z - 2136 = 0 for z.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0043492444 to four dps.\nAnswer: -0.0043","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 j and 1 f when two letters picked without replacement from {f: 7, n: 1, t: 4, j: 2, m: 3, r: 1}?\nAnswer: 14\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let l be ((-32)\/(-25))\/1 + 0. Let f(v) be the first derivative of 12\/5*v**4 + 0*v - 6\/5*v**3 - l*v**5 + 1\/5*v**2 - 1. Factor f(u).\nAnswer: -2*u*(u - 1)*(4*u - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(y) = -y**3 + 5*y**2 + 2*y - 5. Let k be c(5). Suppose k*u - u - 36 = 0. Calculate the lowest common multiple of 12 - (0 + 4 + -2) and u.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -14 + 29 - 15 + 1074306*a.\nAnswer: 1074306*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 0.9 - 0.8. Let g = 1214\/105 + -80\/7. Let j = 0.1 - -0.4. What is the closest to 0.1 in j, g, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 161, 291, 393, 467?\n\"Answer: -14*o**2 + 172*o + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p*p**(-2\/5)\/p*p*p*(p\/(p\/p**(-8)))\/p*p*p**(-2\/7)\/p**(1\/2))\/((p\/(p**(2\/3)*p))**(-7\/10))**(-47) assuming p is positive.\nAnswer: p**(3097\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 151904982?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 10263 or 10260?\nAnswer: 10260","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -q + 11 = 4300*c - 4301*c, 2*c + 4*q + 16 = 0 for c.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Convert -9087 (base 15) to base 5.\nAnswer: -1434002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 432*u + 4219*u + 760264 = -1903*u for u.\nAnswer: -116","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -34 = 5*d + 2*a, 3*d = 5*a - 3*a - 14. Let o = -9.84 - -10. Let s = 0.04 + o. What is the biggest value in -2\/11, d, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 130?\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 1801 - 937. What are the prime factors of (g\/40 - 0) + (-4)\/(-10)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 1 - -3. Let w be (-1 - -1) + (4 - (-10)\/(-3)). Which is the closest to -0.1?  (a) -3  (b) w  (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(o) be the second derivative of 0*o**2 + 0 - 3*o + 5\/6*o**3 + 1\/6*o**4. What is the second derivative of i(g) wrt g?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.2086537 milligrams in kilograms?\nAnswer: 0.0000002086537","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 372, 798, 1202, 1578, 1920, 2222?\nAnswer: 2478","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence tff when three letters picked without replacement from {t: 1, f: 2}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let y(b) be the first derivative of -b**5\/10 - 3*b**4\/8 - 9*b**2\/2 - 10. Let x(v) be the second derivative of y(v). Find the second derivative of x(o) wrt o.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 503 minutes before 10:32 AM?\nAnswer: 2:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.016391 to 4 decimal places.\nAnswer: 0.0164","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 379 + -374. Let r = 8 - 11. Let x = r + 0. Which is the biggest value?  (a) x  (b) 4  (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -16 = -4*h, -11 = -n - 3*h + h. Suppose -s + 5*r - 89 = s, -86 = n*s + 2*r. Let b = -18 - s. What is the remainder when 40 is divided by b?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(q) = -2*q. Let k(m) = -70*m + m**2 + 70*m. Determine k(n(v)).\nAnswer: 4*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 9\/2 + (-11)\/(121\/33)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 0*u + 0*u - 16*u**2 - 4*u**2 to w + x*u + k*u**2 and give k.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let j(b) be the second derivative of -b**8\/6720 - b**7\/1260 - b**6\/360 - b**5\/120 - b**4\/12 - 2*b. Let m(n) be the third derivative of j(n). Determine m(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 4706 and 1267?\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*a + 0*a = 6. Let y(o) = -14 + 31 - 9 - 7 - a*o. Determine y(-4).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 93*o**4 + 3*o + 70*o**4 - 183*o**2 - 161*o**4 in the form n*o**4 + q*o**2 + s + k*o**3 + m*o and give m.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1\/21 in 1\/7, -0.5, 0.1, -7\/3233?\nAnswer: -7\/3233","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 206 is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4 + 4 + 3)*(-19*x - 6 + 6).\nAnswer: -57*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 5122, 20486, 46092, 81940?\n\"Answer: 5121*f**2 + f","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 266828 to the nearest integer?\nAnswer: 517","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Does 503 divide 273786421?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -9*a*g**2*s**2 - 92962*a*g*s**3 - 373*a*s**3 + 11*a*s**2 + 164*s**3 with respect to g.\nAnswer: -18*a*g*s**2 - 92962*a*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -1 - 101011111111011101101001?\nAnswer: -101011111111011101101010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-6)\/27 + 0 - 4\/(-18). Suppose x = 6*a - 576 + 12. Is 34 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 24 + 305*v + 62 - 38 - 40 to f*v + d and give d.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let o(s) = -s**3 - 5*s**2 + 34*s + 58. Give o(-9).\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -14 - (-27 + (-4 - -5) + 16 + 25 + 8)?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*k**2\/5 - 33168*k - 458381760.\nAnswer: -3*(k + 27640)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 2898?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 20132 is divided by 88.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Express 273460 - 5248*r - 273460 as y + p*r and give p.\nAnswer: -5248","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 33389531 and 49.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let v(f) = 6*f - 31. Let b be v(5). Is 3\/16 at most b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 3 + (1 - -20)\/7. Suppose -5*w = -f - 8, 0 = -9*w + o*w + 2*f + 9. Which is smaller: -6.4 or w?\nAnswer: -6.4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1157 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-p + 4 - 4)*(-186 + 201 - 97)*(3*p - 3*p + 7*p) to the form g*p**2 + u*p + k and give g.\nAnswer: 574","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*w**3 - 6096*w - 46*w**2 + 6136*w + 7*w**3 - 8 = 0. Calculate w.\nAnswer: 2\/7, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 973*p - 863*p + 4873*p + 4 + 73.\nAnswer: 4983*p + 77","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (4\/5)\/(1\/5). Let u be (-3)\/105*5 + 66\/21. Let r be (u + 0 - q) + 27\/33. Sort -0.4, 0, 1\/8, r in increasing order.\nAnswer: -0.4, r, 0, 1\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 252440 (base 16) to base 6.\nAnswer: 124101012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 2\/15, -25, 2\/11, -1\/7, 0.4?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-5220)\/225)\/((-56)\/20) + -8?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 21\/2 of a millennium in centuries?\nAnswer: 105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put -3, -5, -15 in descending order.\nAnswer: -3, -5, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = x + 4*x - 10. Let b(z) = -11*z**2 + 2*z - 5. Let w be 61\/(-7) + (-4)\/14. Let s(k) = 5*k**2 - k + 2. Let t(h) = w*s(h) - 4*b(h). Give t(x).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-4)\/10)\/2*(-39)\/39.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put -3, -10, 5 in ascending order.\nAnswer: -10, -3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -2093 and -0.215672.\nAnswer: 451.401496","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -29668 + 41944. List the prime factors of w.\nAnswer: 2, 3, 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 129, 105, 93, 99, 129, 189?\nAnswer: 285","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 18782997?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((5 - 2) + 4 - -2) + -2 + 0?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -w**2\/5 - 9264531*w = 0 for w.\nAnswer: -46322655, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 4409256460?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let l(r) = r + 3*r**2 + 2 - r**3 - 2 - 5 + 3*r**2. Let o(m) = -2*m. Let j be o(-20). Let z = j + -34. Calculate l(z).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 81\/5 - 241\/15. Which is the nearest to -0.1?  (a) 0.2  (b) v  (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*t, 8*z - 3*t = 3*z + 20. Suppose 6 - 15 = -3*u. Let 3*c**2 - z*c**2 - 81*c + 2 - u + 79*c = 0. Calculate c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 0.21016 - 0.21016. Let c = 0.09 + -5.09. Let i = c + 3.2. Sort i, u, 3, -4 in decreasing order.\nAnswer: 3, u, i, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -693 + 362. Let u = y + 130. What is the second smallest value in 1, -5\/6, u?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 4.3204 + -3.835. Let l = -2.3 + 2.78. Let j = l - i. Round j to three decimal places.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 8228778, 8228764, 8228752, 8228742, 8228734, 8228728, 8228724?\n\"Answer: j**2 - 17*j + 8228794","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.2?  (a) -5  (b) -3\/1751  (c) 1\/3  (d) 0.1  (e) -1\/6  (f) -4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 6 + (5 + (-6 - -1) - 1 - -1).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 4221827 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -3*h**3 - 186474*h - 5880674.\nAnswer: -9*h**2 - 186474","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -3550 - -11757. What are the prime factors of h?\nAnswer: 29, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 33212 and 91333.\nAnswer: 365332","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7*g + 9 = -12 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let m(p) = -3*p**2. Let z(l) = 20*l - 17. Let d(j) = 7*j - 6. Let b(g) = 17*d(g) - 6*z(g). What is m(b(n))?\nAnswer: -3*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(20) + sqrt(2000)*-2 + sqrt(20))\/(sqrt(640)*2) - (0 + (sqrt(128) - (sqrt(128) - sqrt(128)*2) - sqrt(36)\/sqrt(2))))**2.\nAnswer: 12769\/32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -2\/167, -1, -2\/21, -2\/7, 0.3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*y**4 - 4*y**3 + 40*y**2 + 16*y - 96.\nAnswer: -4*(y - 2)**2*(y + 2)*(y + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: (((-35)\/28)\/1)\/(-5)\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f(j) be the second derivative of -j**5\/20 - 5*j**4\/12 - j**3 + 8*j. Suppose -4*w + 6 = -5*l - 22, 0 = 4*w - 8. Calculate f(l).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 37496 is divided by 9373.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) 2\/47  (b) 3  (c) 4563  (d) -3\/7  (e) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -9 - -6. Let d = 32 - 31. Which is the closest to d?  (a) 0.1  (b) 3  (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(b) = 8*b + 33. What is x(-6)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 36 a factor of 9468?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 20370247015 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 2650, 5052, 7460, 9880, 12318, 14780?\nAnswer: 17272","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 1.4 and -13178?\nAnswer: -18449.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 12 + -9 - ((0 - 17) + (-4 - 2))?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j(q) = -164*q - 1807. Determine j(-11).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 8.4, 4\/7, -1\/2, -2.1, -0.1?\nAnswer: 8.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 2721 to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve b = -39*d + 34*d - 20, 5*d + 20 = -3*b for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 357 and 2448?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-1 + 20*k**4 + 1)*(791 + 872 + 1275) to w*k**3 + r*k + b*k**2 + n*k**4 + t and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-5)\/2)\/(33\/22)*897\/2990?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -4*o**2 - 141*o**6 + 152*o**6 + 20*o**2 wrt o?\nAnswer: 1320*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(d) = 2*d**2 + 5*d + 1. Let k be (3 + -3 - 5)*-2. Is v(k) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(g) = g + 10. Let v(u) = u + 5. Let t(d) = 4*s(d) - 7*v(d). Let x be t(-2). Solve -2*m - m = -4*n + x, -5*m = 5*n - 5 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(w) = 8438*w - 2573. Let o(c) = 25308*c - 7717. Let x(m) = -6*o(m) + 17*u(m). What is the derivative of x(g) wrt g?\nAnswer: -8402","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(j) = j**3 + 8*j**2 + 7*j + 17. List the prime factors of a(-7).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2\/2765 in 0.2, 4, 8542?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-1 + 2*l + 1 + (-3 - 3 + 8)*(-1 + 1 + 2*l) - 30 - 3*l - 22 + 98)*(7 + 5*l**2 + 10 - 34) to the form q*l + z*l**3 + d + f*l**2 and give f.\nAnswer: 230","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-630136)\/18980 - (-50 - 0). Find h such that -c - 2\/5*h**2 + 46\/5*h = 0.\nAnswer: 2, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1.468895 * -12\nAnswer: -17.62674","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*i + y = 45, -35 = i - 4*i - 2*y. What is the third derivative of 38*x**2 + 4*x**3 - i*x**2 - 11*x**2 + x - 8*x**2 wrt x?\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 9  (b) -131\/21  (c) -0.1  (d) 1\/2  (e) 0  (f) -3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand -36*s**2 + 51*s**2 + 49*s**2 + (2*s - s - 2*s)*(19 + 6*s - 19).\nAnswer: 58*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -1.3 and 44829998.\nAnswer: -58278997.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let l(k) = k. Let o(r) = -5*r**2 - r - 33. Give l(o(j)).\nAnswer: -5*j**2 - j - 33","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let r(y) = 3*y**2 - 6*y + 3. Let v(p) = 2*p**2 - 10 - 22*p + 39*p - 7*p**2 - 4*p**2 + 2. Determine 17*r(o) + 6*v(o).\nAnswer: -3*o**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1406 = 4*l + g, 0 = 2*l + 2*g - 51 - 649. What is the units digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2178 + 2334 = 4*f - 3*g, 3384 = 3*f - 2*g. What is the hundreds digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((f\/f**0)\/f**(-4))**4 assuming f is positive.\nAnswer: f**20","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let n(d) = 1495*d + 940. Let s be n(-19). What is s rounded to the nearest 10000?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: 10 (base 4) to base 12\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 2*(-4)\/8 + 4. Let a be (216\/(-20))\/(-3) - u. Let i = -0.2 + 0.3. What is the second smallest value in 2\/7, i, a?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(z) = -168*z + 27. Let p(n) = -13*n + 2. Let j(i) = -27*p(i) + 2*t(i). Let k(y) = y. Let x(v) = -2*v. Let o(h) = 3*k(h) + x(h). What is j(o(m))?\nAnswer: 15*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 1\/2 + (-2 - 0). Let n be 680\/440 - (-30)\/(-55). Which is the fourth biggest value?  (a) 13\/6  (b) n  (c) p  (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 12 + -15. Let c = 5 + s. Find the third derivative of -2*h**2 - h**2 + h**c + 3*h**6 - h**6 wrt h.\nAnswer: 240*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7 = 5*q - c, 289*q - 286*q = -2*c - 1 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Determine w, given that -2*w**5\/7 - 21440*w**4\/7 - 171428*w**3\/7 - 385632*w**2\/7 + 54*w\/7 + 578448\/7 = 0.\nAnswer: -10712, -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 76\/646 + (-164)\/238. Let z = -0.43 - -0.13. What is the second biggest value in 2, z, a, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 11\/2 of a litre in millilitres?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k(m) = m**2 - 5*m - 23. Let j be k(8). Which is the third biggest value?  (a) -1\/4  (b) j  (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(363) - (-2 + -2*sqrt(363)))**2 + -3 + (0 + sqrt(363))**2 + sqrt(363).\nAnswer: 143*sqrt(3) + 3631","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 2212503 to the power of 1\/2, to the nearest integer?\nAnswer: 1487","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-54)\/15*55\/110)\/(((-8)\/45)\/8).\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 30574 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -b + 176 = x, -4 = -x - 3. Suppose -b = -5*u - 0*u. Let j(l) = -l**3 + 6*l**2 + 8*l - 35. Calculate the remainder when u is divided by j(6).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 372 is divided by 50.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 + 2 - 6)*(-2*g**3 - g**3 + 5*g**3 + (-18*g**3 + 2*g**3 + 6*g**3)*(-3 - 1 + 5)).\nAnswer: 56*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:21 PM and 6:08 AM?\nAnswer: 707","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Do -326 and -403741 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 23 + -16. Solve 2*v = x + 1 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(h) = -3*h**3 + 8*h**2 + 12*h - 2. Let k(m) = -m**3 + 3*m**2 + 4*m - 1. Let c(i) = -i**2 - 315*i + 1603. Let z be c(5). What is z*p(y) - 8*k(y)?\nAnswer: -y**3 + 4*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 870?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Convert 53 (base 10) to base 5.\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 24351582?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*k - 6*k = 5*a + 287 - 169, 91*a - 4*a = 3*k - 93 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 21846, 87389, 196626, 349557, 546182, 786501, 1070514?\n\"Answer: 21847*u**2 + 2*u - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3389733818.\nAnswer: 2, 1694866909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -18 + 23. Let n be (-2)\/(9\/l + -2). Solve -3*a + 17 = 5*k + 3, 3*k + a - n = 0 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(w) be the first derivative of w**6\/1620 + w**5\/90 + w**4\/12 + 2*w**3 + 4. Let l(h) be the third derivative of t(h). Find v such that l(v) = 0.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(g) be the second derivative of g**9\/15120 - g**7\/1260 + g**5\/120 - g**4\/6 + 2*g. Let d(v) be the third derivative of q(v). Factor d(a).\nAnswer: (a - 1)**2*(a + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -0*l - 13*l. Solve l = 7*s - 10*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(r) = -3*r**2 + 15*r - 10. Let m(s) = -s**2 + 5*s - 3. Give 2*b(o) - 7*m(o).\nAnswer: o**2 - 5*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let p(r) = -7*r**2 + 71*r - 6. Let t be p(11). Let j = -46 - t. What is the remainder when 47 is divided by j?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -3 + -2c2?\nAnswer: -2c5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((b**0)**19\/(b*b\/b**(-11)*b\/(((b**(6\/7)\/b*b)\/b)\/b)))**(-37\/5) assuming b is positive.\nAnswer: b**(3922\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.4, -1\/2, -4\/9 in ascending order.\nAnswer: -1\/2, -4\/9, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 12781810 is divided by 6390826?\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -7 + 7. Suppose -6 = -2*z - 3*q + 1, -4*q = -4. Suppose x = m - 3, -4*x + z*m - 2 - 8 = t. Which is the nearest to -1?  (a) 1  (b) 2  (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(l) = -6*l + 5. Let r be u(2). Let i = r + 10. What are the prime factors of 3\/((-36)\/(-88))*i*3?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in 1\/10 of a gram?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand 21*c + 92 - 47 - 46 + (-2*c + 4*c - c)*(-1 + 0 + 0) - c - 2 + 2.\nAnswer: 19*c - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is p in -3*p**4 - 515355*p**3 + 3607590*p**2 - 7215240*p + 4123008 = 0?\nAnswer: -171792, 1, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let g(b) = 5*b**3 + 12*b**2 + 2*b + 8. Let y(q) = 11*q**3 + 25*q**2 + 3*q + 17. Let j(f) = 9*g(f) - 4*y(f). Let p be j(-7). Solve 0 = 6*k - p*k + 15 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 10 - 5216?\nAnswer: -5206","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 3*(-1 - (-20)\/6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: (1 - 2 - -11) + -5 - 1\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c(n) = 6*n**2. Let o(u) = -53*u**2 - 3*u + 268. Let s(v) = 89*v**2 + 5*v - 537. Let d(y) = -5*o(y) - 3*s(y). What is d(c(k))?\nAnswer: -72*k**4 + 271","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence jq when two letters picked without replacement from qjljjlcjjqbljjl?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = b + 4*a + 559, 0*a - 2*a = -3*b - 1635. Let n = b - -550. Solve n*q + 20 - 5 = 0 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 43*r + 1 + 20*r**2 - 84*r + 43*r to z*r**2 + t*r + u and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 40 a factor of 560?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Does 337 divide 8240324?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 15746861.\nAnswer: 13, 491, 2467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 529076 is divided by 327?\nAnswer: 317","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*n + p + 24 = 0, 7*p - 28 = -5*n + 4*p. Suppose -119 = -n*i - 124. Is i greater than or equal to -0.079?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*f - 14 = 190. Calculate the common denominator of (-12)\/(-36)*(1 + f) and -63\/5.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*j = 2*i - 12, -5*j - 21*i + 19*i = -24. Solve -2*k = j*q - 14, 0 = -12*q + 7*q - 5*k + 20 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*v = -9*v + 2052. Suppose -6*z = 3*z - v. Is z a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(a) = 418*a + 30097. Give o(-72).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (2\/(-8)*-2)\/(6\/(-96)). Let k(l) = -19*l - 142. Let f be k(z). What is the highest common divisor of 730 and f?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*g - 148 = -103 for g.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 0.11901 + -9.88501. Let n = 44.866 + -45. Let k = n + b. What is k rounded to the nearest integer?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -20862155, -20862159, -20862165, -20862173, -20862183?\nAnswer: -20862195","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -1.2 - -1.1. Let x = -92.954 - 0.046. Let i = x + 98. What is the closest to l in i, 4, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(f) be the first derivative of 0*f + 0*f**2 + 1\/3*f**3 + 5. Let b(k) = 14*k**2. Determine b(g(r)).\nAnswer: 14*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 4\/(-3) + (-165)\/(-9). Solve -7*n = -24*n + o for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(r) = -r**3 - 79*r**2 + 1620*r + 30. What is t(17)?\nAnswer: -174","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.163486419 plus 0.28?\nAnswer: 0.443486419","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.010675302 rounded to five dps?\nAnswer: 0.01068","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 12820271 is divided by 30.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from gjjgs. What is prob of picking 2 j?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let m(i) be the third derivative of -i**6\/120 + 13*i**5\/60 + i**4\/24 - 8*i**3\/3 + 3*i**2 - 58*i - 13. Suppose 0*g + 2*g - 26 = 0. Determine m(g).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -2*w**5\/3 + 4*w**4 - 2*w**3\/3 - 16*w**2 - 32*w\/3 = 0. What is w?\nAnswer: -1, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (11 - 13)\/(2\/(-14)). Suppose -q*z + 624 = -6*z. List the prime factors of z.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-390)\/42 - 4\/(-14). Let u be 81\/(-6)*6\/m. Let n = u + 3. Solve -2*z = -0*z + 4*x + 22, n = 3*z - 3*x for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(j) be the third derivative of -j**7\/315 - 13*j**6\/90 + 23*j**5\/30 + 187*j**4\/18 + 280*j**3\/9 + 3*j**2 - 12*j - 34. Find r such that y(r) = 0.\nAnswer: -28, -2, -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 50 + 10 = 15*n. Let c(w) be the third derivative of 0*w + 9*w**2 + 8\/3*w**3 + 0*w**n + 7\/30*w**5 + 0. Differentiate c(y) wrt y.\nAnswer: 28*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -45.29116953 rounded to the nearest integer?\nAnswer: -45","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*f - 23 = 5*g, -3*g + 1 = 2*f + 14. Let p be g\/(87\/(-354)*3). Let b = p - 26885\/5916. What is the common denominator of -83\/20 and b?\nAnswer: 1020","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*t - 10 = -4. Solve -7 = o + 4*j, -2*j - t - 4 = -2*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*h - 48*k = -50*k - 532, 0 = 5*h - 2*k - 666. Calculate the remainder when 268 is divided by h.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -398 less than -397?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Put -2, -184, -108, -3, 0, 1 in decreasing order.\nAnswer: 1, 0, -2, -3, -108, -184","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 s and 1 v when two letters picked without replacement from {m: 2, s: 1, f: 1, l: 3, v: 2, d: 3}?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 1121112302023 + -22?\nAnswer: 1121112302001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 4704965?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3 divided by -23704.\nAnswer: -3\/23704","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 522468898?\nAnswer: 2, 7, 83, 449629","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is -663844 (base 10) in base 9?\nAnswer: -1221554","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -947\/634 + -2\/317. Let p(n) = n**3 - 2*n**2 - 2*n - 3. Let f be p(3). Let r = -10 - -11. Which is the nearest to r?  (a) i  (b) f  (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 2\/(-9) + 0\/1. Let d be 1*(-1)\/(-6 + 1). Let r = -30.1 + 31.1. What is the second smallest value in r, a, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -12*z**2\/5 + 722*z\/5 - 24 = 0. What is z?\nAnswer: 1\/6, 60","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*j - 12 = -2*q, 3*q + j - 31 + 5 = 0. Calculate the lowest common multiple of q and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(u) be the second derivative of 113*u**3\/6 + 21*u**2 - 16*u. What is the derivative of m(f) wrt f?\nAnswer: 113","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 33 a factor of 738?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4*r**3 - 22*r**2 - 12*r**2 + 34*r**2.\nAnswer: -4*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 0 or 77\/1803?\nAnswer: 77\/1803","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Round 274.196 to the nearest 10.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1 in -1\/10, 1, -0.05, -5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let j(o) = 1045*o + 1804. Let s be j(6). Solve s*u = 8066*u + 16 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 l, 1 z, and 1 i when four letters picked without replacement from {e: 4, z: 1, l: 2, i: 4}?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Convert 100101210 (base 3) to base 11.\nAnswer: 516a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0 in 20, -54, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -13\/2 + 7. What is the closest to g in -0.2, 2\/7, -41?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -12 - 3*i**4 + 2*i**3 + 4 + 2*i**4 + 2*i**2 + 4 to the form g + n*i + u*i**4 + y*i**3 + d*i**2 and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -67 in -5, 0.01, 1\/12?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*q + 58 + 54 = -48*b, 2*q = 5*b + 31 for q.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:48 PM and 4:35 AM?\nAnswer: 587","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 303245461 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 50 a factor of 877727600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -54*y = 3403 - 1297 for y.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -423*i - 14*i**3 + 212*i - 12*i**3 + 211*i.\nAnswer: -26*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 5 - 2. Let m = 12 + -3. Suppose 2*g + 3*w = -g - 12, 4*g - m = w. Which is smaller: i or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 4324302 + -20333?\nAnswer: 4303414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*h**4 + 15*h**3 - 20*h**2.\nAnswer: 5*h**2*(h - 1)*(h + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 514*u + 422*u + 19591 = 14777 - 45730 for u.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 1477494?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 1497343718 a multiple of 11479?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 364092.\nAnswer: 2, 3, 30341","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let x(f) = -11*f**2. Let n(u) = -698 + 4*u**2 + 698. Determine x(n(o)).\nAnswer: -176*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-12)\/(-14))\/(14\/(-35)*150\/280).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 0 greater than 13\/21?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 26873.\nAnswer: 7, 11, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let b be -1 - 6\/(-2) - (-4)\/4. Let l be (2 - 36\/b)*-2. Solve 0 = 4*i + i + 2*t + l, -5*t = 0 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00000426624 to seven decimal places.\nAnswer: 0.0000043","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 1 + (1 + -1 - -4). Suppose -15*m - 6 = -18*m. Suppose m*w - 18 = -4*d, -6*w + 10 = -4*w. Solve 0 = -3*i - 2*i - r*h - 10, 2*i + 4*h = d for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4186 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:47 AM and 5:31 PM?\nAnswer: 524","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let n(h) be the second derivative of -9*h**4\/4 - 18*h**2 - 14*h. Find the first derivative of n(k) wrt k.\nAnswer: -54*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*j - 3 = -c, 5*j - 4*c + 2 + 10 = 0. Let h(i) = -i**2 - 8*i - 9. Let t be h(-7). Sort -6, t, 5, j in descending order.\nAnswer: 5, j, t, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*u**4\/9 - 22*u**3\/9 + 6*u**2 - 50*u\/9 + 16\/9.\nAnswer: 2*(u - 8)*(u - 1)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -65.35 rounded to the nearest integer?\nAnswer: -65","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((p*p\/(p*p*p**(-3)*p))\/(((p**(-1)*p)\/p)\/p))\/(p**(-2\/7))**(-49) assuming p is positive.\nAnswer: p**(-10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: -2.56612989 + 5115\nAnswer: 5112.43387011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let h(w) = -7*w**3 - 227*w**2 - 93*w + 98. Calculate h(-32).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is fifty-three quarters of a century in years?\nAnswer: 1325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(1377) - sqrt(1377)*2)*1.\nAnswer: -9*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 75 = -2*v + 799. Let f = 2538\/7 - v. Factor f*g + 0 + 4\/7*g**3 - 8\/7*g**2.\nAnswer: 4*g*(g - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 53*d - 560 = -30*d + 3*d for d.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let p(z) = -z**3 + 4*z**2 - z - 1. Let c = 12 + -8. Calculate p(c).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -291.67 + -3.7. Round d to the nearest 100.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (39\/2)\/((-15)\/(-40)). Suppose 4*d - z = -0*d + 3*a, -2 = d + 3*a. Solve -j = 4*j - 5*p + d, j = -p - 6 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0001981471719 to 5 decimal places.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let t(i) = 67*i + 729. Give t(-11).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 0.991 + 0.129. Let d = a - 96.12. Which is smaller: d or -1\/2?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-22)\/253*3\/54*6?\nAnswer: -2\/69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 4 - ((-19890)\/39)\/(-17).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from hdhhdhhhhhhddd. What is prob of sequence dh?\nAnswer: 45\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 18 + -12. Let t be (-16)\/k + 3 + -1. Which is the nearest to -2?  (a) t  (b) -3  (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(d) = 2982*d + 2. Let w(c) = -912*c**2 + 2. Calculate s(w(n)).\nAnswer: -2719584*n**2 + 5966","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let w(t) = -15*t - 9. Let j be w(-6). Let k be -3*(1 + -2) - -1. Suppose 0 = k*f - 15 - j. What is the tens digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: (3\/36*-4)\/((-1)\/((-6)\/(-10)))\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 26, 12, -38, -148, -342, -644, -1078, -1668?\nAnswer: -2438","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 15034228 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -32\/51 - 2\/51. Let w = -16 - -20. Let i = 56\/3 - 17. Sort w, o, i in increasing order.\nAnswer: o, i, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*n - b + 141 = 0, 0 = -110*n + 108*n - 11*b + 41*b + 40 for n.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*l - t + 15 = -2, 3*l - t + 11 = 0 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from bfyybfbtyfyybttltxy. What is prob of picking 1 y, 1 f, and 1 t?\nAnswer: 24\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -63\/40876252 and 93\/12970?\nAnswer: 204381260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let p(g) be the first derivative of g + 0*g**3 + 21 + 0*g**4 + 27\/5*g**5 + 15*g**2. What is the second derivative of p(q) wrt q?\nAnswer: 324*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*j - 432*o - 2 = -434*o, 2*o - 5 = -j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -0.2 or 191?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Does 2 divide 169?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 30202.\nAnswer: 2, 15101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.7 * -3.\nAnswer: 2.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (99*(1072\/252)\/(-67))\/(1\/7).\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -757.33 + 760. Let u = m + -2.47. Sort 0.1, u, -1\/3, 0 in descending order.\nAnswer: u, 0.1, 0, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(h) = -2*h - 8. Let r(m) = -m**3 - 3*m**2 + 3*m + 2. Let x be 2*(2 - 14\/4). Let k be r(x). List the prime factors of g(k).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -576 divided by 234.\nAnswer: -32\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*u - 4 = -2*c + 4*u, -c - 4 = -5*u. Which is smaller: c or 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -80677, -161708, -242739, -323770, -404801, -485832?\n\"Answer: -81031*y + 354","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p(x) = -x**3 - 6*x**2 - 2*x - 2. Let j be p(-6). Let d be 1655\/25 - 2\/j. Let z be -7*(d\/(-14) - -4). Solve 0 = -5*c + z*i + 30, 2*c - 9 = -0*c - i for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 97604.6292 rounded to the nearest one hundred?\nAnswer: 97600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let r(c) = 5*c**2 - 7*c + 7. Let x(j) = 9*j**2 - 13*j + 13. Determine 11*r(h) - 6*x(h).\nAnswer: h**2 + h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 16.2580699 rounded to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is five halves of a week in minutes?\nAnswer: 25200","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"}
{"text":"Question: Differentiate 187*d*m*w**2 - 3*d*w - d + 18*m*w**2 + 2*w**2 + 81*w wrt m.\nAnswer: 187*d*w**2 + 18*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: 2 (base 5) to base 7\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 2 + 0 + -2 + 4. Suppose 0 = r*h + 3*z - 29, 0 = -3*h + 3*z - 2 + 8. Suppose 50 = 4*a + h*g - 2, 2*a = g + 12. Is a a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-3*sqrt(76) + sqrt(76))*-5)\/(sqrt(4) + sqrt(324) + (sqrt(324) - 4*sqrt(324))).\nAnswer: -10*sqrt(19)\/17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Convert 3017.632 kilograms to grams.\nAnswer: 3017632","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many micrograms are there in 189.888 nanograms?\nAnswer: 0.189888","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 13649 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -3*x**2 + x**3 - 16*x**2 + 1 + 27*x**2 to p + w*x + t*x**3 + c*x**2 and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 339609.\nAnswer: 3, 17, 6659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 25020 divided by -8340?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let i(d) be the second derivative of d**6\/30 - 23*d**5\/10 + 297*d**2\/2 - 245*d. Find the first derivative of i(l) wrt l.\nAnswer: 4*l**3 - 138*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(l) = -3*l. Let t(q) be the second derivative of 0*q**2 + 1\/6*q**3 + 5*q + 0. Calculate t(r(y)).\nAnswer: -3*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let j(o) = -3*o**2. Let t(g) = 2*g - 103. Give j(t(a)).\nAnswer: -12*a**2 + 1236*a - 31827","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let a(y) = -14*y**2 + 8*y**2 + 3*y**2. Let k(u) = -u**2 - 4. Let z(b) = -2*b**2 + 5 + 2 + 5*b**2. Let x(m) = -7*k(m) - 4*z(m). What is a(x(s))?\nAnswer: -75*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 11999?\nAnswer: 13, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*o - g + 1 = 0, 3*o - g + 1 = -0. Let m be 2\/(-2 + (9 - -1)). What is the third smallest value in o, -5, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -389  (b) 3  (c) 2\/15  (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let i(u) = 2159*u + 135430. Give i(-63).\nAnswer: -587","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1501883 - 216841 = 85*o - 233*o. What is the remainder when o is divided by 66?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00007639945 to 6 dps.\nAnswer: -0.000076","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 2896133 to the nearest integer?\nAnswer: 143","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 10300106 + -10?\nAnswer: 10300066","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Round 1033661363.1 to the nearest ten thousand.\nAnswer: 1033660000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: -1034301331 (base 5) to base 4\nAnswer: -20213222013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Determine s, given that -3*s**2 - 280927797*s + 280927800 = 0.\nAnswer: -93642600, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 1132101331 (base 4) in base 11?\nAnswer: 244157","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor 72*g + 28*g**2 + 52*g - 20*g - 32.\nAnswer: 4*(g + 4)*(7*g - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -0.105 - 2.995. Which is smaller: -0.1 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*b**2\/5 - 140768*b - 6192384320 = 0.\nAnswer: -87980","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 2031, 1869, 1593, 1197, 675?\n\"Answer: -g**3 - 51*g**2 - 2*g + 2085","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d(w) = -4*w**2 - 236*w + 107. Let u be d(-59). Suppose 0 = -4*k + k - 306. Let c = u + k. Calculate the remainder when 8 is divided by c.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*h + 3*p - 18 + 33 = 0, -h - 95 = 14*p. Solve 36*o + r - h = 35*o, -17 = o - 4*r for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.18*-4.74064.\nAnswer: 0.8533152","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 742504663 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2410 divided by -2410.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, -39, 32694, 0, -5 in increasing order.\nAnswer: -39, -5, -4, 0, 32694","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*v = -2*v. Suppose v = -4*u + 3 - 19. Is -1796*(5\/u + 1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(g) = -g**2 - 825*g - 256. Give d(0).\nAnswer: -256","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 35 - 25. Let h = r + -8. Suppose 0 = 4*t + 12, 5 = -u - h*t + 2. Solve -u*q + 2*q + 1 = 0 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 568002 is divided by 579?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: cfe8f8 (base 16) to base 15\nAnswer: 12e232c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g(p) = -111*p**2 + 331*p + 4. Let t be g(3). Put t, 0.1, 357\/5 in descending order.\nAnswer: 357\/5, 0.1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-245)\/(-588))\/((-1)\/(-4))?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is -1 < 98\/5304855?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (6\/(-9))\/((-2)\/(-6)). Let i = b + 21. Solve -2*l - 2*y - 2 = 2*y, 5*l - i = -2*y for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -9707099 - -6890188\nAnswer: -2816911","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 22138 is divided by 37.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 99259 is divided by 163.\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let m(p) = -42*p**2 - 17739*p - 52844. What is m(-3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 0  (b) 0.032  (c) -4  (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Does 15 divide 2768687?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -1342 or -179443?\nAnswer: -1342","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 14\/(-63) + 176\/(-18)*1. Let t be 4\/r - 190\/25. Is 189 - ((-18)\/t - 2\/8) a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(k) = -2*k**2 + 10*k. Let t(r) = 5*r**2 - 3*r - 1. Let n(z) = -z**2 + 9*z - 3. Let b(c) = n(c) + 3*t(c). What is w(b(x))?\nAnswer: -392*x**4 + 476*x**2 - 132","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 1001713 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*r = -3*v - 37, 8*v - 18*v - 16 = -5*r - 13*v - 18 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 53*g**2*n*p**3 - 2*g**2*p**3 - 73*g*n*p**3 - 3*n - 24391*p**3 with respect to n.\nAnswer: 53*g**2*p**3 - 73*g*p**3 - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.05856 rounded to 2 dps?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let d(s) = -s**2 - 4*s. Let g be d(-3). Suppose -5*z + g*i = -22, z + 0*i = 2*i + 3. Calculate the remainder when 18 is divided by z.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 10256 at least 9380?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:35 AM and 5:07 AM?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 48, 73, 84, 75, 40, -27?\nAnswer: -132","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 6*q - q + 3*w + 54, -3 = -q + 4*w. Let t be (q\/15)\/(1\/15*-3). Suppose 5*j - t*j - 4 = 0. What are the prime factors of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence nvb when three letters picked without replacement from {v: 1, n: 1, y: 1, m: 2, e: 1, b: 1}.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*w - 3*w = -0*w. Let g(a) = 21*a - 1. Let h be g(-1). Let d = 82 - 79. Sort h, -3, w, d.\nAnswer: h, -3, w, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from bbbbbhbhbhhhb. What is prob of sequence bbh?\nAnswer: 70\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 6756 - 6746. Let t(x) be the third derivative of 0 + 11\/6*x**3 + 0*x**4 + 0*x + z*x**2 + 0*x**5 - 3\/20*x**6. What is the first derivative of t(d) wrt d?\nAnswer: -54*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(x) = -6*x**2 + 4*x. Let i be b(1). Put i, 6, -16 in ascending order.\nAnswer: -16, i, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*u + u + 8 = 0. Let m be (-4)\/(4\/(-491)) - u. Suppose -3*h - 2*h = -5*c + 1170, 2*c + 5*h = m. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1259569 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 31308039?\nAnswer: 3, 7, 55217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 38523 is divided by 86?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 21.153 at least -6\/25?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 448129 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let k(n) = 5*n**3 - 9*n - 143. Let h(q) = -3*q**3 + 5*q + 72. Give -7*h(a) - 4*k(a).\nAnswer: a**3 + a + 68","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 2\/(-3) - 22\/12. Let t = 3780 + -3781. Which is the nearest to t?  (a) 4  (b) -2  (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 5356387*p**4 + 4737536*p + 2.\nAnswer: 64276644*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 13776, -4, 30.3, -48?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 70240 and 16.\nAnswer: 70240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 814 is divided by 21?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -644 = -2*s - 2*s. Let f = -102 + s. What is the remainder when f is divided by 95\/3 - (-10)\/(-15)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence xyx when three letters picked without replacement from dyyxedxdexx?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let q(o) = 4184*o**2 - 2*o + 2. Let z(a) = 341*a**2. Calculate q(z(u)).\nAnswer: 486519704*u**4 - 682*u**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: -1280980 divided by 256196\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is -0.3 > -5327?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 0.2, -10, 0, -9\/5, -2\/5?\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 1650 and 33?\nAnswer: 1650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4 + ((1 + sqrt(68))**2*6 - 3*(sqrt(68) - (sqrt(68) - (sqrt(68) + 2)))**2))*6*4.\nAnswer: 4656","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: 18\/(-12)*(-50)\/15\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (2286\/(-27))\/(2\/(-3)). Let z = h - -153. What is the hundreds digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1896?\nAnswer: 2, 3, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 1725 - 1496*t**3 + 2432*t**3 + t**2 + 205*t**3 - 1706 + 4501*t**3 - 9*t wrt t.\nAnswer: 33852","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -b05645 (base 12) to base 15\nAnswer: -393c8e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*k = -4*n + 32, 5*n - 10 = -k + 21. Suppose u - 19 = -k. Solve 2*o + 0*q - 3*q = 17, -3*q - u = -o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1898792?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 750?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 233 - 156. Calculate the greatest common divisor of 11 and n.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, 218, 8, 4 in decreasing order.\nAnswer: 218, 8, 4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let f(c) = c. Let i = 29822 - 29823. Let w(g) = -4*g + 4. Determine i*w(t) - 6*f(t).\nAnswer: -2*t - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 810 and 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -590 + 595. Suppose 2*m + p = 1864, 23*m = 27*m - t*p - 3714. What are the prime factors of m?\nAnswer: 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 165 - 241. Let s be (-9)\/6 + y\/(-8). What is the highest common divisor of 8 and s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -158*k + 156*k = -16 for k.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 14 divided by -38?\nAnswer: -7\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*q + q = -94. Calculate the remainder when q is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence mkmk when four letters picked without replacement from {k: 5, m: 11}?\nAnswer: 55\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 98 = 4*o + 7*x + 6*x - 15*x, 5*x = -7*o - 211 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 274 + 0*y**3 + 3419*y**2 - 274 + y**3 - 293*y**5 - 4*y**3 wrt y.\nAnswer: -17580*y**2 - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {d: 1, g: 2, p: 1, v: 3}. Give prob of sequence pg.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is -16 (base 16) in base 15?\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -1025 + 1031. Solve 3*u + d = 9*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -3 + 3. Let h = -1 + z. Let k = -1.1 + 0.7. Sort 5, k, h in increasing order.\nAnswer: h, k, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.0788?  (a) 0.1  (b) -1\/13  (c) 2385\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: -6 (base 9) to base 12\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.2 in 4, -1198, -2\/3, -3\/7, -0.039, 2?\nAnswer: -0.039","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 9443?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is -105406040 rounded to the nearest ten thousand?\nAnswer: -105410000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -45592\/3 + 15198. Factor -4\/3 - 2*j**2 - v*j**3 + 2\/3*j**4 + 10\/3*j.\nAnswer: 2*(j - 1)**3*(j + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-8*13\/(-234))\/((-28)\/5040).\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 120 and 7275.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 3190?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2\/3*b**3 + 2\/3*b + 1\/3 - 1\/3*b**4 + 0*b**2.\nAnswer: -(b - 1)*(b + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 18*g - 36 + 36 in the form b*g + q and give b.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 13420 - 12726. What is the remainder when i is divided by 39?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 313117 and 4756?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*s**2 - 145716*s - 291440.\nAnswer: 2*(s - 72860)*(s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from cpcccoocccpo. What is prob of picking 1 c and 1 p?\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-3)\/(-2)*(-32)\/(-12). Suppose 7*u - 18 = 24. Solve z*d + 2 = u for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-11 + 1 - 23)*(k - k + 2*k)*(-3 + 1 - 1) + 2*k + 5*k - 4*k + (0 + 0 + 3*k)*(2 - 1 - 3) - 2 + 2 - k.\nAnswer: 194*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 525 minutes after 5:17 PM?\nAnswer: 2:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let s(z) = z**3 + 13*z**2 + 22*z + 13. Let w be s(-11). Let m = 37 - w. Find the third derivative of -98 - 36*x**3 + m*x**2 + 98 wrt x.\nAnswer: -216","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1786472 is divided by 21768.\nAnswer: 1496","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Divide -43 by -2337273.\nAnswer: 43\/2337273","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.3, -0.5, 2\/13, -75, 47, 4 in descending order.\nAnswer: 47, 4, 2\/13, -0.3, -0.5, -75","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let s(c) = 0*c + 1 - 2 - c. Let r(x) = -2*x**2 + x + 4. Let y(v) = r(v) + 4*s(v). What is the second derivative of y(k) wrt k?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -3 + -9 + -4 + (-1203 - -1284).\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -x - 9*f + 5865 = 0, -3*x + 10558 + 7133 = 3*f. List the prime factors of x.\nAnswer: 3, 7, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from krkkrrrr. Give prob of picking 2 r and 1 k.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify s**11\/s*s\/(s**(-2)\/s)*s**(-5\/3)*s*s*s**(-12)\/s*s*s assuming s is positive.\nAnswer: s**(10\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((3*2*sqrt(110) - 1*sqrt(110)*2) + ((sqrt(110) - 1*sqrt(110))*5 + sqrt(110))*-3)\/((-5*-3*sqrt(100))\/(sqrt(10) - (sqrt(40) + sqrt(200)\/sqrt(5)))).\nAnswer: -sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:15 AM and 7:16 PM?\nAnswer: 661","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let v(o) = 5*o**2 + 7*o + 7. Let c be v(-1). Sort 3, -2, c, 2 in increasing order.\nAnswer: -2, 2, 3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -85*k + 84*k - 2*i = -2, -5*i + 7 = 3*k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let m(r) = -8*r**2 + 3. Let s(o) = -15*o**2 + 5. Let a(j) = -5*m(j) + 3*s(j). Let z(d) = -d. Determine a(z(x)).\nAnswer: -5*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*k - 6 = 2*a, -3*k - 2*a - a - 3 = 0. Let u be k\/(9\/(-6) - -1). Sort -1, u, 1.\nAnswer: -1, 1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 6928?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*d = -2*i - 8, -5*d + 2*i - 7*i = -55. Calculate the lowest common multiple of 12 and d.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*g = 2*t - 2*g - 146, 3*t - 185 = -g. Let q = -38 + t. Let u be (4\/6)\/(5\/30). Solve -2*n + 22 = -0*f - 4*f, u*f - 5*n = -q for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*i - 4*o - 756809, -25*i + 605404 = -21*i + 4*o. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:55 AM and 5:14 PM?\nAnswer: 559","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (4\/(-5))\/((-4)\/10). Let r be 4\/12*(y - -1). Let p be 0\/(r + (-6)\/2). Solve p = 2*o - 4*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11*z + 12 = 56. Let w(c) = 4*c**2 - 12*c - 4. Let v be w(z). Suppose -239 = -5*b + 3*l, 0 = 4*b - 17*l + v*l - 186. 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 the units digit of 49601?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 538 minutes after 6:21 AM?\nAnswer: 3:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let d(o) = -11*o - 8 - 14 + 22*o. Calculate the remainder when d(14) is divided by 27.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -3.59806146 rounded to 2 decimal places?\nAnswer: -3.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*k + 398 = 5*p, 4*p + 0*k - 316 = -3*k. Find the common denominator of -44\/63 and (-564)\/(-9)*(-5 + p\/16).\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 8 - (-6 + 19 - 0) - -8?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 141.736471922 take away -16?\nAnswer: 157.736471922","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 163 - 73. Is 17 a factor of ((-24)\/(-20))\/(3\/h)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {d: 11, z: 1, a: 2}. Give prob of picking 1 d and 1 z.\nAnswer: 11\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:11 AM and 8:50 AM?\nAnswer: 459","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let s(j) = j**3 - 2*j**2 - 5*j + 21. Let w be s(6). Calculate the greatest common factor of w and 54.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(j) be the third derivative of 17\/6*j**3 + 0*j + 1\/3*j**4 + 23*j**2 + 0. Let w be u(-10). Is w > -64?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 1305 and 522.\nAnswer: 2610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 15569 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 3461469227 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -16?  (a) 4  (b) -2  (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -z - 4*z = -20. Solve 5 - 1 = z*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1\/(((-6)\/2)\/(-15))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2666.\nAnswer: 2, 31, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Convert 11.55963 litres to millilitres.\nAnswer: 11559.63","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 1557420, 3114392, 4671362, 6228330?\nAnswer: 7785296","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1638501.\nAnswer: 3, 151, 3617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2879.\nAnswer: 2879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Sort 228, 5\/7, -1\/4, -0.1, 2\/21 in descending order.\nAnswer: 228, 5\/7, 2\/21, -0.1, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let i(v) = -2*v**2 - 9*v + 9. Let f(r) = 31*r - 118. Let p be f(11). Let m = -228 + p. Determine i(m).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ottg when four letters picked without replacement from {t: 9, w: 8, o: 1, g: 1, x: 1}.\nAnswer: 1\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.003399742659 rounded to five decimal places?\nAnswer: 0.0034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 0.2  (b) 1\/2  (c) -3  (d) 309\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2*(sqrt(12)\/(sqrt(24)\/sqrt(4))*2 + 2 + (4*sqrt(200)*1 + sqrt(200) + 2)**2).\nAnswer: -10012 - 404*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*a**4 - 3*a**3 + 96*a**2 - 177*a + 90 = 0. Calculate a.\nAnswer: -5, 1, 3\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -8660*y + 1373*y + 4697*y - 370370 for y.\nAnswer: -143","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 1331 + -3322122032?\nAnswer: -3322120201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1.11, -675, 5 in decreasing order.\nAnswer: 5, -1.11, -675","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 1207*m**2 + 784*m**2 - 561*m**2 to g*m**2 + n*m + a and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: How many decades are there in 7\/4 of a millennium?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*n - 24 = -5*w + 2*w, 3*n - 3*w - 6 = 0. Sort 0.02, n, 1\/2 in ascending order.\nAnswer: 0.02, 1\/2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -g + 3*g + 0*g = 0. Suppose 2*v + 2*v = -g*v. Solve 4*b + 6 = -p + 3*b, v = 5*b + 10 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 34 = -12*w + 10 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5*f + 17*f + 2*f + 18*f.\nAnswer: 32*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let y(n) = n**3 - n**2 + 7. Let k = -2 + 2. Is y(k) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 46*i - 43*i = 39. Find h, given that -h**3 + i*h**2 - h + h**4 + 2*h**3 - 5*h**2 - 9*h**2 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(r) = 1612*r**3 + 100*r**2 - 25*r - 1225. Let g(t) = 403*t**3 + 24*t**2 - 6*t - 307. Let s(x) = 25*g(x) - 6*o(x). Find the first derivative of s(m) wrt m.\nAnswer: 1209*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 53 divide 790?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {d: 5, b: 2, x: 1, z: 5, h: 1, m: 2}. Give prob of sequence mz.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: How many kilometers are there in 0.7805586um?\nAnswer: 0.0000000007805586","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 26 + -4. Let v = -24 + n. What is the nearest to 1 in 0.5, v, -2\/11?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3*n**3 + 42906*n - 42906*n.\nAnswer: -3*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2\/11 in 3, 2, -1\/4, -2?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 5 + -2 + (5 - 3). Solve 0 = -3*h + a + 4 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 23 divide 3318?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 53 a factor of 20764?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -423  (b) 1  (c) 98\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1904353?\nAnswer: 11, 37, 4679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Convert 444 (base 5) to base 13.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose v = -v - 3*n + 11, -5*n = 5*v - 40. What is the first derivative of -524*r + v + 0 + 14 + 518*r wrt r?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1526866 a multiple of 59?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 3495934?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Express (-4*f**2 - 5*f + 3*f + 6*f**2)*(51 - 20*f - 51) as t*f + p + a*f**3 + g*f**2 and give a.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let i(j) be the third derivative of 257*j**4\/12 - 158*j**3\/3 - 359*j**2 + 2. What is the derivative of i(b) wrt b?\nAnswer: 514","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(f) = -23*f - 14. What is the hundreds digit of w(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -179.69 rounded to the nearest 10?\nAnswer: -180","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 0.11 - -2.89. Let v = 0 - r. Let o = 13 + -7. Which is the second smallest value?  (a) 2\/9  (b) v  (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in five eighths of a gram?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g(v) = v - 3. Let x be g(6). Suppose 0 = -x*p - 27 + 15. Let t = 9 + p. Which is the second biggest value?  (a) 8  (b) -4  (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 399*l*o**2 - l*o - 31*l - o wrt o.\nAnswer: 798*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 1824 + -2223.8. Let b = a - -738.5. Let h = b + -447. What is h rounded to the nearest 10?\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(g) be the first derivative of 81*g**2 + g + 5. Is l(1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 169*p + 4187*p = -39204 for p.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let x(g) be the first derivative of -g**3\/3 - 9*g**2\/2 + 29*g - 1. Let p be x(-14). Let z = p + 46. Solve 0 = -z*i + i + 4 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 46495 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 2 + 16?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Does 537 divide 2492936804?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 4\/44 - (-13776)\/(-44). Let k = x - -337. What is the least common multiple of k and 60?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in 996604.1t?\nAnswer: 996604100000000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -3\/26 in 0.5, -334, -31?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 11642, 11574, 11462, 11306, 11106?\n\"Answer: -22*b**2 - 2*b + 11666","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (24\/(-9))\/(6\/(-27)). Suppose 2*a + 5 = 3*p + 26, -3*p = a + q. Suppose -3*x - 2*x - 4*z + 11 = 0, 0 = -3*x + a*z - 15. Which is greater: 1\/14 or x?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(f) = -11*f - 20. Suppose -4*x + 7*x = -18. Let z = 14 + 3. Let q(n) be the second derivative of -2*n**3\/3 - 7*n**2\/2 + 988*n. What is x*t(d) + z*q(d)?\nAnswer: -2*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 3\/2 - (-7 + (-66)\/(-12)). Suppose -4*f - 20 = 0, 0 = -3*j + 2*j - 3*f - 70. Let x be t*(j\/15 + 4). Let b(q) = -11*q**3 + q**2 + q - 1. Give b(x).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 15*(-19)\/950*10\/(-12).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 1538304 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let q(m) = m - 6. Let d = 20 - 19. Let b(z) = -1. Let f = -2 - -8. Suppose 8*g = f*g - 6. What is d*q(o) + g*b(o)?\nAnswer: o - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 22 + -30. Let i(w) = -w**3 - 9*w**2 - 10*w - 2. List the prime factors of i(y).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -41*y + 44*y - 3*k - 51, -2*y + 40 = 4*k. Solve 5*p + 3 = 3*b - 3, -4*p - 2*b - y = 0 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -19146.9975367 - -19147. Round s to four dps.\nAnswer: 0.0025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 153652 and 428.\nAnswer: 428","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let o(m) = 1911*m - 652. Is o(61) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 69639 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: Calculate (2990 - 2988) + (-58 - -1).\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify p**(-2\/29)*p*p**(-10)*p*p**(-8\/7)*p*p**(1\/2)*p assuming p is positive.\nAnswer: p**(-2725\/406)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 26 = -5*u + 76. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -16db61 + 0?\nAnswer: -16db61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let a(j) be the second derivative of -j**9\/2520 - j**5\/24 - j**4\/4 - 3*j. Let h(b) be the third derivative of a(b). Differentiate h(i) with respect to i.\nAnswer: -24*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 30 = -3*k - 4*z + 65, -5*k + 41 = -2*z. Calculate the remainder when 51 is divided by k.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 141764 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let q(a) = -77*a**3 - 35*a**2 + 35*a. Let t(z) = 13*z**3 + 6*z**2 - 6*z. Determine 6*q(r) + 35*t(r).\nAnswer: -7*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -q - 2 + 12 = 0. Let c(o) = o**2. Let l(g) = 2*g**3 - 10*g**2. Let f(n) = q*c(n) + l(n). Find j, given that f(j) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-4 + 2)\/(1 - 2). Suppose 4*x - 34 = -s. What is the units digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 47 - 41.9. Let s = 1.1 - r. Which is smaller: 1 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {l: 3, b: 2, d: 1, w: 2, z: 4}. Give prob of sequence blz.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -354 - -1256. Which is greater: -0.1 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(z) = z**3 - 3 + z + 0 - 2*z + 10*z**2. What is the units digit of x(-10)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((f**(-2\/5)\/f)**19*f**(-7)*f*f**8)\/((f**(-1\/4)*f*f*f\/(f\/(f\/(f\/(f*(f**(-3\/8)*f*f)\/f)))))\/(f**(-2\/7))**10) assuming f is positive.\nAnswer: f**(-8633\/280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 22.08783 days in milliseconds?\nAnswer: 1908388512","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -88 - 0?\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let t(x) = -x + 1. Let y(s) = -23*s**2 + 9*s + 5. Let f(k) = -5*k + 29. Let v be f(6). Let n(d) = v*y(d) + 5*t(d). Find the second derivative of n(m) wrt m.\nAnswer: 46","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(i) = 5*i - 6. Let p be a(6). Suppose 0*u + 4*y = 4*u, -4*u = 4*y + p. Let t(b) = b**2 + b + 4. Let o(c) = c + 1. Let w(l) = u*o(l) + t(l). Factor w(z).\nAnswer: (z - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(d) = -12*d**2 + 2*d - 9. Let n(o) = 14*o**2 - o + 10. Let y(u) = -6*m(u) - 5*n(u). List the prime factors of y(5).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.04 + 8202.867395082.\nAnswer: 8202.827395082","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 1034, 1024, 1012, 998, 982?\nAnswer: 964","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -156 + -3 + (-2 + 35 - 16) - (-17 - -2)?\nAnswer: -127","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*n + 5*i + 9 = -5, n - 2*i - 6 = 0. Suppose 41*c = -18*c + 2124. Sort -5, n, c in increasing order.\nAnswer: -5, n, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -97\/23340 and 157\/70020.\nAnswer: 70020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -469  (b) 1672\/9  (c) -15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 20 and 26755.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 197289, 394578, 591867?\n\"Answer: 197289*l","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 276854?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, -4, -3, -6, -7 in ascending order.\nAnswer: -7, -6, -4, -3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -3  (b) 322  (c) 1\/4  (d) 2  (e) -1  (f) 73\/4  (g) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"}
{"text":"Question: Let f(r) = -r - 7. Let x(i) = i + 6. Calculate -5*f(j) - 6*x(j).\nAnswer: -j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Are 1392\/13 and 106 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Express 168 - 193 - 6*g - 153 - 204 + 4*g - 4*g**2 in the form n*g + j*g**2 + r and give r.\nAnswer: -382","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let j(u) = -u**3 + 13*u**2 - 11*u + 5. Let b be j(11). Suppose -3*r = -b - 417. What are the prime factors of r?\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 465 a factor of 6324455?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 783347069.\nAnswer: 10273, 76253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let w(r) = 32*r - 48215. Let x(t) = 7*t - 12051. Determine -2*w(b) + 9*x(b).\nAnswer: -b - 12029","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let k(i) = -i - 2. Let w be (-1)\/(-1 + 8\/10). Let l(o) = o - 462173 + 462173. Give w*l(u) + k(u).\nAnswer: 4*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 598 to the power of 1\/2, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 1551 a factor of 178223332?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -4943.4541 - -4943. Let k = h + 0.46. What is k rounded to three dps?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1539?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let r(c) = -c**3 + 5*c**2 - 13*c + 7. Let v be r(-8). Suppose 12*b - 11*b - v = 0. What is the hundreds digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -7445*z**4 - 72*z - 7446*z**4 - 820 + 22336*z**4 - 7444*z**4 wrt z?\nAnswer: 4*z**3 - 72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 213237*h**3 - 426314*h**3 + 213636*h**3.\nAnswer: 559*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*k + 15 = 105. Calculate the remainder when k is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 83\/36 and 33\/246646.\nAnswer: 4439628","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Round -934.8294 to the nearest one hundred.\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (60\/(-6))\/(2 + 12\/(-3)). Let j be (-1 + u)\/(7 + -6). Suppose j*i + q - 6234 = 0, 2*q - 583 - 2531 = -2*i. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 321643550*l**3 + 177360*l - 1094 wrt l.\nAnswer: 1929861300*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -1.2783921 rounded to two decimal places?\nAnswer: -1.28","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let s(j) be the third derivative of -j**4\/24 + 2*j**2. Let w = -7 - -1. Let u = w - -1. What is s(u)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(u) = 998*u - 638. Give f(1).\nAnswer: 360","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*g**3 + 2172*g**2 + 144902*g - 147072 = 0 for g.\nAnswer: -64, 1, 1149","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*t + 3*i - 16 = 0, -2 = -t - 0*t - 2*i. Let g be (-6)\/t + (-24)\/(-6). Suppose -9 - g = -4*o. What is the least common multiple of o and 7?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 6  (b) 1  (c) -0.02  (d) 0  (e) -1\/4  (f) -97\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1*-3*(1 + sqrt(500)).\nAnswer: -30*sqrt(5) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*v - 3*w = -6, 0*v + 5*w - 10 = 3*v. Let x = v - -4. Suppose -3*b + 3*a = -3, 2*b - 11 = -x*a + 15. What is the units digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 w when two letters picked without replacement from {m: 2, r: 1, w: 7}.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1526 divided by -36.\nAnswer: 763\/18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let c(a) = 11*a**3 + a**2 + 13*a + 28. Let f(u) = -u**2 + 2. Let y(t) = -c(t) + 3*f(t). List the prime factors of y(-5).\nAnswer: 2, 659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 37.3 - 37.1. Is g smaller than -7\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (4 + 2 + -1)*(-2)\/(-5). Solve -3*v + 20 = -4*x + v, -2*x - 6 = n*v for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 7157 a multiple of 45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: -13 - (10 - 0 - 12 - 1)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -2078639*z**3 - 6*z - 123870.\nAnswer: -12471834*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*p - 5*p = -2*y - 101, -4*p = -3*y - 384. Suppose -5*m + 2*c = -p, 3*m + 5*c + 37 = 4*m. List the prime factors of m\/4 - (-20)\/(-80).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -35*v - 60*v - 1 - 48*v + 1 + 148*v.\nAnswer: 5*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 1575 and 72639?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*t + 0*t = 36. Suppose t = 7*p - 4*p, 4*m = -3*p + 804. Suppose -2*y = -2*k - m, 3*y + 2*k = 393 - 91. What is y rounded to the nearest 100?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-9)\/((-12)\/4)*(-4)\/(-774)*3?\nAnswer: 2\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 s and 2 l when four letters picked without replacement from {s: 17, l: 2}.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is -84 (base 14) in base 16?\nAnswer: -74","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*f + 2*u + 558, 82 + 759 = 3*f + u. Let x be ((-52)\/(-5))\/(14\/f). What is the greatest common factor of x and 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(p) be the second derivative of 41*p**6\/30 - p**3\/3 + 9*p**2\/2 + 442*p. Find the second derivative of b(t) wrt t.\nAnswer: 492*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(y) = -y**2 - 11*y - 14. Let i be m(-9). Suppose 45 = 5*j - 4*t, -i*j + 2*j = -3*t - 18. Let s = 14 - j. Is 4 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from fsfymyssfsysssylym. What is prob of picking 4 s?\nAnswer: 7\/612","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let w(r) = r**3 - 4*r**2 + 1. Let j(z) = -26*z**3 + 8*z**2 - 3*z. What is j(x) + 2*w(x)?\nAnswer: -24*x**3 - 3*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 224329548 divided by 4?\nAnswer: 56082387","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 11 and 2519.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 66434901?\nAnswer: 3, 13, 197, 8647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Put -18, -1, 23, -2, -8, -3 in ascending order.\nAnswer: -18, -8, -3, -2, -1, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: (57 - 63) + 18 + 0 + -1\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -138 = 22*x - 25*x. Let q = x - 44. Which is greater: 3\/5 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 4256 divide 4074350867?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*l = l + 8. Suppose -5*o + k + 388 = 0, -2*o + 103 = l*k - 57. What is the tens digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: 3*4\/(-108)*-15\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((0 - 2 + 0)*(0*j - 2*j + j) - 13 - 19*j + 13 + (-3 - 4 + 3)*(-2*j + 2 - 2))*(-2*j + 2 - 2).\nAnswer: 18*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let h(t) = -t**3 - 7*t**2 - 7*t - 1. Suppose -2*z + 6 = -6. Let k = z - 12. Calculate h(k).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 14 + 47 + -59 + (33 - 4)\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 9757344?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 79723, 318509, 716365, 1273291, 1989287, 2864353, 3898489?\n\"Answer: 79535*c**2 + 181*c + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -719, -694, -667, -638, -607, -574?\n\"Answer: r**2 + 22*r - 742","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -1.6 + 1.56. What is the third biggest value in l, 0, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2*14\/4*8\/((-448)\/24)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -241 - 5?\nAnswer: -250","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -71 - 4 = -15*d. Suppose v = -2*q + 6*v - 23, -4*q - 21 = -d*v. Let t be q + (-4 - (-2 + -9)). Solve t = b + b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -569 - -765. Suppose 55*i - 57*i = -m. Calculate the remainder when i is divided by 28.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 300798217 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let p(r) = r**3 - 3*r**2 - 85*r + 31. Let t be p(-8). Let d(h) = 3*h**2 + 2*h + 4. Let g(b) = -10*b**2 - 5*b - 13. Give t*d(u) + 2*g(u).\nAnswer: u**2 + 4*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (30\/9 + -3)*9. Let w = 0 + -5. Let l(m) = m**3 + 4*m**2 - 6*m + 2. Let b be l(w). Solve -k = 4*q - b for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-51)\/(-34))\/(45\/12)*-20\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -31.54274 + 0.03274. Let b = -0.49 + x. Let h = b + 31.08. Round h to 1 dp.\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-10 + 10 - 19) + 45 + -1.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (46 + -41)\/((-2)\/(-2)). Sort 4, -3, -1, -28, r in decreasing order.\nAnswer: r, 4, -1, -3, -28","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -99.08 - -99. Which is the nearest to 1?  (a) 2  (b) o  (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(x) = 3*x**2 + 12*x - 4. List the prime factors of q(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -5122 + 5122. Solve t = -4*u + 26 - 6 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from qxqxqqqxqqq. What is prob of picking 3 x?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let j(g) = 2*g**2 - 30. Let f be j(7). Suppose 130 = 14*o - 108. What is the greatest common divisor of o and f?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1598301341 a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*k = 3*n - 105, -25 = 3*k - n - 142. Calculate the highest common factor of k and 114.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*m - 334 = -214. Calculate the remainder when m is divided by 18.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 185 = 9*m + 5*j, 2*j - 22 = 30*m - 31*m for m.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0 and -4.886.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let i(a) be the first derivative of a**4\/26 - 7. Solve i(n) = 0 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 386771202 to the power of 1\/3, to the nearest integer?\nAnswer: 729","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let w(d) = -369*d. Let y(g) = -254*g**2 - 19*g + 2. What is w(y(h))?\nAnswer: 93726*h**2 + 7011*h - 738","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -2\/25, -1, 1\/4, -4, 40631?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -720 = -2*d - 2*d. Suppose 3*t - 38 + 143 = g, -4*t = 2*g - d. Suppose 5*b - g = b. Is b a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(i) be the second derivative of 5*i + 0*i**2 + 6 + 1\/4*i**4 - 1\/2*i**3. Let d(p) = -2*p**2. Determine d(g(l)).\nAnswer: -18*l**4 + 36*l**3 - 18*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -98*h**5 - 854*h**4 + 5028*h**3 - 38124*h**2\/7 + 15282*h\/7 - 2106\/7 = 0 for h.\nAnswer: -13, 3\/7, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let x(b) = -b + 5. Let f = 2 - -5. Let w be x(f). Sort 4\/7, w, -0.5 in descending order.\nAnswer: 4\/7, -0.5, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {w: 1, v: 1, g: 2, e: 10}. Give prob of picking 1 g and 1 v.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -22039 + 38066. What is the thousands digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-6 - 6 - -3) + -6 + 44?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z(c) = 2*c - 5. Let p be z(4). Let r be 24\/(-18) + (-11)\/p. Let a(m) = m**3 + 5*m**2 + 3*m + 5. Give a(r).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(l) = -18*l**5 - 3*l**3 - 18*l**2 + 3*l + 3. Let s(a) = a**3 + a**2 - a - 1. Let q(r) = -3*s(r) - t(r). What is the third derivative of q(c) wrt c?\nAnswer: 1080*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(w) = w**2 - 1. Let g be n(-1). Let o = 0 + 5. Put o, 2, g in descending order.\nAnswer: o, 2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 34.561696 - 616.\nAnswer: -581.438304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 1691657753 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 123945, 247889, 371833?\n\"Answer: 123944*z + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -33*c + 30*c + 6 = 0. Suppose n - 617 = c*g + g, 0 = n + 2*g - 612. Suppose 5*d - 426 = -2*y, 3*y - n = -0*y + 5*d. Does 26 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(l) = -3*l**3 - 26*l**2 - 17*l + 5. Let m be 70 + (-3 - (0 + -1)). Let t = -18 + m. Calculate the remainder when t is divided by u(-8).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(k) = -49*k + 21. Let y(m) = -97*m + 42. Let t(n) = -5*b(n) + 2*y(n). Let z(w) = -5*w + 2. Let l(a) = -4*t(a) - 42*z(a). Let g(q) = -q. Calculate g(l(v)).\nAnswer: -6*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -l + 87 = -89. Let z(m) = -36*m + 24. Let c(a) = -12*a + 8. Let j(h) = -7*c(h) + 2*z(h). Let q be j(2). What is the highest common factor of l and q?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {t: 1, g: 7, y: 2, w: 3, d: 4}. Give prob of sequence wdt.\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 715601 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from oowooohhwww. Give prob of picking 2 w.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: 38341 (base 11) to base 13\nAnswer: 1c042","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*p - 1419 = 2381 + 3454. Calculate the greatest common factor of p and 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*p**3 - 2*p**3 - 2*p**3)*(29 - 111 - 90).\nAnswer: 1032*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 87*a + 2427 + 2435 + 2330 - 7192.\nAnswer: 87*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 139\/91464 and -52\/3711.\nAnswer: 113140968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -2101 + 10231?\nAnswer: 2130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 1047 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -51 - -22. Let h be (1*(1 + 13))\/(-1). Let d = y - h. Is -14 < d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*q + 17 - 31 = 0. Let d be -3 - (q\/3 - (-40)\/(-6)). Solve d*a - 1 = -13 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -0.2, -0.3, 3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v**13\/(v*v**(5\/8)\/v))**15 assuming v is positive.\nAnswer: v**(1485\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Express (-2*r**2 - 2*r**2 - r**2)*(-r**2 + r**2 + 2*r**2) - 4*r**4 + 5*r**4 - 4*r**4 as y*r**4 + b + u*r**3 + n*r + l*r**2 and give y.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*t + 2*l + 24 = 0, -l - 4*l = 20 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 1292 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: 10*-66.46\nAnswer: -664.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 914 a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -23b01 - -4?\nAnswer: -23ab9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-10 - (-3 + (1 - 10) + 10)) + 14.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p(u) = -u**2 - 3*u - 4. Let z be p(-3). Let q be z*(2\/4 - 1). Solve 3*j + 7 = t - q*t, -t = 2*j + 5 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 8136*k - 249071 = 27553 for k.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let i(a) = 22*a**2 + 29*a**2 - 82*a**2 + 24*a**2. Let s(c) = -23*c. Determine s(i(d)).\nAnswer: 161*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 113\/2106 and 68\/251875.\nAnswer: 40803750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -4 - 3641333?\nAnswer: -3641337","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: -24 + 19 - (-10 + 1)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, 44, 0.9, -22 in decreasing order.\nAnswer: 44, 1, 0.9, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 2732629?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -p + 45*p**4 + p**3 - 40*p**3 + 2 + p**2 + 39*p**3 to the form b*p**2 + n*p + d + g*p**3 + z*p**4 and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -4 + (-1 - (-4 + -1))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -h - 4*w + 7, -2 = w - 3*w. Let n(l) = -l**2 + 6*l + 7. Let i be n(5). Let d = i + -12. Solve -h + d = c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -4\/3 in 105, -31, 1554?\nAnswer: -31","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -7*u + 5*u + 4. Let z be ((-4)\/(-2))\/((-4)\/(-6)). Solve y**5 - 7*y**5 - u*y**2 + 6*y**3 - 2*y**2 + 4*y**4 + 0*y**z = 0.\nAnswer: -1, 0, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 37 - 37.5. Let x = 0.3 - 0.1. Let w = x + t. Which is the second biggest value?  (a) -0.4  (b) -1  (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(j) = j**2 - 2*j - 3. Let c be -5*(-32)\/(-40)*3\/4. Determine k(c).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 3*h**5 - 2*h**5 - 2*h**5 + (-3*h + 0*h + h)*(5*h**3 - 5*h**3 - 4*h**3)*(-2*h - 5*h + h).\nAnswer: -49*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let -2*c**3 + 92*c**2 - 1144*c + 1936 = 0. Calculate c.\nAnswer: 2, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -45, -158, -371, -696, -1145?\nAnswer: -1730","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2318 divided by -1.\nAnswer: 2318","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-35)\/(-20) - 2\/(-8). What is the first derivative of -q + w + 0 - 2 wrt w?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(r) = 2*r**2. Let g(t) = 46*t - 9 - 51*t + 5. What is g(j(m))?\nAnswer: -10*m**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let d(q) = -9*q**3 + 5*q + 2. Let g be d(-2). What is the greatest common divisor of 4 and g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 156 - 138. Let m(j) = -2*j - 16. Let z be m(-9). Suppose -z*a + 12 = a + n, 4*n = -2*a - 2. Solve a*l - 3 = -d for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*h = 3*u + 13, -5*u + h - 13 = 11 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -39687.1 - -13728085.\nAnswer: 13688397.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 7\/(14\/64) - 3. Which is bigger: 3 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -9 + -13?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*v - 3*m = -8*m - 14, -4*v - 3*m = -9. Suppose v*g + 4 - 10 = 0. Let p(q) = 2*q**3 + q**2 - 2*q + 3. What is the tens digit of p(g)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 4, 3, 5, 1, -969824, -5 in ascending order.\nAnswer: -969824, -5, 1, 3, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 15 - 8. Suppose -4 - a = -m + 3*f, 2*f - 21 = -5*m. Suppose -6*x + 19 = -m*x. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n**5\/6 - 4*n**4\/3 - 581*n**3\/2 + 585*n**2 = 0. Calculate n.\nAnswer: -39, 0, 2, 45","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let h be -2 - 2\/(-2)*6. Suppose -5*b - 2*y = 1031 - 2993, -4*b - 3*y + 1564 = 0. Suppose b*q - 25 = 389*q. Solve 0 = l - q*u + 11, -l - h*u + 20 = l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -h**3\/4 + 3*h**2\/4 + 6107*h\/2 + 6102.\nAnswer: -(h - 113)*(h + 2)*(h + 108)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let f(j) = 84*j**2. Let w(m) = m**2. What is w(f(o))?\nAnswer: 7056*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let l(z) = -3*z + 23. Let d(s) be the second derivative of s**3\/6 - 7*s**2\/2 + 33*s - 4. Let c(w) = 8*d(w) + 3*l(w). Give c(5).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 146*g + 82 + 95*g - 48 - 34 - 383*g + 143*g.\nAnswer: g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let p(t) = -7*t**2. Let v(i) = 4*i + 4170 - 4170. Determine p(v(w)).\nAnswer: -112*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 20*h**3 + 36*h - 74*h + 38*h.\nAnswer: 20*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let p(d) be the first derivative of -d**4\/14 - 38*d**3\/21 - 64*d**2\/7 - 120*d\/7 - 92. Solve p(o) = 0.\nAnswer: -15, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 36771 and 2856?\nAnswer: 357","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let k(n) = n**3 - 10*n**2 - 6. Let t be k(9). Let j = -607\/7 - t. Which is the closest to 2?  (a) 2\/3  (b) j  (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:15 PM and 2:30 PM?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, 2, 49, 5, -1 in decreasing order.\nAnswer: 49, 5, 4, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:24 AM and 7:21 AM?\nAnswer: 117","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 71\/198 - 3\/22. What is the nearest to -0.1 in o, 0.4, -3, -4?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 18224 and 234464?\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2009868?\nAnswer: 2, 3, 7, 71, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -83*j - 20 = -186. Calculate the remainder when 5 is divided by j.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -7*a**4 + 1 + 9*a**4 - 4 + (-2*a**3 - 2*a**3 + 6*a**3)*(5*a - 4 + 4) to the form t*a**3 + p*a**4 + d*a + b + w*a**2 and give b.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 68*p**5 - 3*p**4 + 142*p**2 wrt p?\nAnswer: 4080*p**2 - 72*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let u be ((-1)\/(-2))\/(6\/168). Let v be 6\/21 + (-4)\/u. Suppose 0 = -v*p + p - 37. Is 11 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 70?  (a) -1\/2  (b) 0.4  (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -692*b**4*c**2 + 5*b*c**2 + 31*b - 3*c**2 wrt b.\nAnswer: -8304*b**2*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 0.42  (b) -2\/91  (c) 9\/161\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let b(w) = w**3 - 7*w**2 + 3*w - 9. Calculate the remainder when 46 is divided by b(7).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -73 + 78. Suppose 0 = -3*t - 1 - 2, 3 = 2*k - y*t. Put 2, 1, k in increasing order.\nAnswer: k, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"}
{"text":"Question: Convert 3.08655 days to seconds.\nAnswer: 266677.92","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: 415\/(-166)*16\/(-10)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 5 (base 16) to base 13\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -7 - 1. Let c be 12\/u*(-8)\/6. Let o(g) = -g**c - 8 + 4 + 0*g**2 - 5*g. Determine o(-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -15 - 20 - 12*h + 35 to the form r*h + x and give r.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence wwe when three letters picked without replacement from vvwwewvv?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 603 - 224*g + 289*g - 62*g to the form x + t*g and give x.\nAnswer: 603","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 0.02 - -0.34. Let p = -0.06 + x. What is the closest to -2\/7 in p, 2, -4\/3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((j*j**(3\/7)\/j)\/j*j)\/j)**(-11) assuming j is positive.\nAnswer: j**(44\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let i(p) = -2*p**2 - 4*p - 2. Let x(c) = -192*c**2 + 6*c + 3. Give -2*i(b) - x(b).\nAnswer: 196*b**2 + 2*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -0.38 + -0.12. Let i = p + 0.6. Which is the third smallest value?  (a) 0.4  (b) -0.5  (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 16684 is divided by 8341.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: 77654 (base 9) to base 2\nAnswer: 1100100101101101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 24508847 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let b(g) = 4*g - 2 + 4 - 2. Calculate b(-1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 6\/(-2)*2\/(-3). Suppose -3*y = -d*x - 42, -y + 4 = -0. Let s = 30 + x. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 2\/((-2)\/3)*7\/(-3). Let l(j) = -j**3 - 8*j**2 - 8*j - 1. Let r be l(-7). Is n smaller than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-4*(-2*sqrt(220))\/sqrt(4))\/(-3*(sqrt(33) + sqrt(132))\/sqrt(3)))**2.\nAnswer: 320\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*5*(-4*(3*(sqrt(5) + 0) - -1*(-1 + sqrt(5))) + -4)*-1)**2.\nAnswer: 128000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 33 + -14. Let q = 12 + o. Factor 32*y**2 - q*y**2 - 3*y + 4*y.\nAnswer: y*(y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(h) = -2*h**2 - 13*h - 5. Let u = -109 - -104. Let n be q(u). Suppose -4*d + n*d - 108 = 0. What is the remainder when 122 is divided by d?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -37  (b) 0.3  (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Round 2288.1 to the nearest 10.\nAnswer: 2290","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 c when two letters picked without replacement from rrrrccrrrrrcrrrr?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*z = q + 161, -z - 2*q + 29 = -0*q. Suppose 2*s + 31 = z. Let v = s + -4. Solve v = -4*r + 3*o - 7*o - 24, -4*r - 3*o - 22 = 0 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -35336*m**3 + 4*m**2 - 7*m**2 + 35311*m**3 + 3*m**2.\nAnswer: -25*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 8*k**4 + 21*k - 7*k**4 + 6*k**4 wrt k.\nAnswer: 84*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -1711 - -1713. Put 8, 128, a in descending order.\nAnswer: 128, 8, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1354 - 288 + 273)*(d - 2*d + 0*d).\nAnswer: 1369*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*t - 208237 = p, -5*p - 704 + 669 = 0. What is the tens digit of t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(m) = -7*m**2 + 8 + 208*m + 212*m - 426*m. Calculate s(2).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 252928?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange ((3 + 1 - 5)*(1 + 3 - 3) + (-3 + 3 - 2)*(0 + 2 - 4) - 4 - 1 + 4)*((4 - 4 + 1)*(x - 1 + 1) - 74*x + 23*x - 37*x) to b + o*x and give o.\nAnswer: -174","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand (7 - 12*l - 7)*(46*l - 96*l - 45*l).\nAnswer: 1140*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 l and 3 t when four letters picked without replacement from jljjtlljjlltt?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-2)\/(-9) - (-160)\/(-315). Let i = 2.06 - 30.06. What is the biggest value in i, u, -3\/2?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from gggggggggg. What is prob of sequence gg?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 23009*g**4 + 133*g**2 + 60?\nAnswer: 552216*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 511808 and 4224.\nAnswer: 704","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -2\/85, -6, 0, -3?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 652558?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*a = 7890 + 2126. List the prime factors of a.\nAnswer: 2, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -6.6 + 7. Let h = -0.0498 - 8.9502. Are c and h nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (2 - 0)*8\/(-4). Let y be ((-14)\/a)\/(13\/(-26)). What is the lowest common multiple of 9 and 43\/7 - y\/(-49)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(f) = -4177*f + 60. Let i be n(-2). Suppose 8*j = 4*z + 13*j - i, 2*z - 5*j - 4192 = 0. 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 0 + 4\/6 + 1431\/(-81)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:09 PM and 8:29 AM?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*r - 4*r + 92 = 4*d, -4*r + 5*d - 123 = 0. Let w = r - -54. Suppose 14 = 3*s - w. Does 12 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 362 = -24*d - b, 4*d - 7*d - 19 = -8*b + 7*b - 12*b for d.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -5 in -0.7, 2\/5, 1\/3, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: 175431 (base 8) to base 11\nAnswer: 44328","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 754257 a multiple of 147?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7*t - 111 - 23 = 62 for t.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = m + 2*o + 48, 8401*m + 219 = 8396*m - 3*o for m.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -709 - -21b9?\nAnswer: 18b0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.658 and 0.02.\nAnswer: 0.01316","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 564597 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: Which is the nearest to -6?  (a) 0.5  (b) 0.2  (c) 0  (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1?  (a) -11  (b) 1  (c) -1\/6  (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(36) + sqrt(2916)*-1 + sqrt(2916))\/(sqrt(24)\/sqrt(2)*-3).\nAnswer: -sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 12029184 a multiple of 1562?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 0.5 - 0.6. Let v = -320 - -324. Let m = -0.1 + 0.1. Sort m, v, f in increasing order.\nAnswer: f, m, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 1784, -0.04, 1\/2, 0.267?\nAnswer: 0.267","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let x(v) be the third derivative of v**5\/20 + 15*v**4\/8 + 28*v**3 + 30*v**2. Factor x(h).\nAnswer: 3*(h + 7)*(h + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(n) = 9*n**3 - 5*n**2 - 5. Let q(f) = f**3 + 34*f**2 - 2*f - 64. Let u be q(-34). Let x(o) = -9*o**3 + 4*o**2 + 4. Determine u*p(k) + 5*x(k).\nAnswer: -9*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from sxxxxxxxxssxsx. Give prob of picking 2 x and 1 s.\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 703 divided by 5?\nAnswer: 703\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let s(j) = j**3 - 9*j**2 - 3*j - 1. Let f be s(11). Suppose -17*u**5 - f*u**2 - 268*u**4 - 35*u**3 + 443*u**3 + 32*u + 73*u**5 = 0. What is u?\nAnswer: 0, 2\/7, 1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -3752 - -4890. Calculate the remainder when u is divided by 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 39 and 975?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -0.2 - 2.5. Let x = 2 + w. Let q = x - 0.8. What is q rounded to zero dps?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 46\/727017 and -43\/287.\nAnswer: 208653879","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2326*v - 2255*v - 2166*v + 700*v + 660*v + (-3 + 3 + 2*v)*(-3 + 3 + 5).\nAnswer: -5377*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t**(2\/11))**(-10\/7) assuming t is positive.\nAnswer: t**(-20\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is -20101.25 times -0.77?\nAnswer: 15477.9625","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*h - 11 + 19. Solve 0*b + 5*t = -h*b - 16, -2 = t for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.2?  (a) 2\/3  (b) -0.439  (c) 0.3  (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -15194, -15201, -15210, -15221, -15234, -15249?\n\"Answer: -b**2 - 4*b - 15189","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -3*o*s**3 - 95*o*s**2 - 10*o*s - 2*o - 47*s wrt s.\nAnswer: -18*o*s - 190*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let m(i) = 0*i**2 + 2*i**2 + 3*i - 2 - 1. Let f(z) = z**2 - 5*z - 3. Let c be f(5). What is the units digit of m(c)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(p) = -p - 1. Let d(x) = -4*x - 5. Let t be 1 + 40\/(-8) + (8 - 3). Let f = -12 - -6. Calculate f*b(m) + t*d(m).\nAnswer: 2*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand (138 - 29 + 556 + 402 + 960)*((0 + 0 + 2*i)*(1 - 1 + 3*i**2) - 13*i - 3*i**3 + 13*i).\nAnswer: 6081*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12*o - 399 = -9*o. Suppose -464 = -21*m + o*m. Does 8 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 15 and (-4)\/34 - (-38152)\/34?\nAnswer: 5610","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(r) = r**3 - 13*r**2 + 12*r + 1. Let l be b(12). Let f be 4\/4 - (-2 - l). Suppose 0*q = 4*q - f. Calculate the smallest common multiple of 4 and q.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 249 + -52. Let l = 196.999867 - u. What is l rounded to 5 decimal places?\nAnswer: -0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (10\/(-3))\/(1\/(-3)). Let y(j) be the first derivative of j**4\/4 - 10*j**3\/3 + 2*j**2 - 11*j - 3. Is 14 a factor of y(p)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-4)\/(((-396)\/135)\/(-11)).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 1 - 90793573?\nAnswer: -90793572","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2 + sqrt(147) - sqrt(147))**2 - (sqrt(48) + -1)**2.\nAnswer: -45 + 8*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -56 + 56. Suppose -5*b + 158 = -2*x, -4*x - 4*b - 272 - 16 = l. Let k = 292 + x. What are the prime factors of k?\nAnswer: 2, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 12 a factor of 48519?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -487 = 127*f + 148 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*c + c - 5 = 0. Let y be 1*0*(c + 0). Suppose 0 = 5*s - 3*f - 450015, 3*s + y*s - 4*f = 270020. What is s rounded to the nearest 100000?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 21\/(-147) - 15\/(-7). Solve 5*h = -b*p + 8, 0 = -16*h + 12*h for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 0.4 - 0. Let x = 46798 + -46815. Put k, -1\/3, x in decreasing order.\nAnswer: k, -1\/3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k**(2\/11)\/k*k*k)**(-5\/7)*k**7\/k**(-3\/7) assuming k is positive.\nAnswer: k**(507\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let w(o) = 94*o + 2532. Calculate the least common multiple of 416 and w(-25).\nAnswer: 2912","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 49 - -17. Suppose -l - 3*l - 88 = 0. Is 6192\/j - 4\/l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5 + (sqrt(325) + (5 + -1 + sqrt(325))**2 - (sqrt(325) + ((sqrt(325) + 1 + -5)**2 - sqrt(325))) - ((sqrt(325) - ((2 + sqrt(325))*3)**2) + 3)) + 1 + -2.\nAnswer: 260*sqrt(13) + 2962","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 18 and 1236.\nAnswer: 3708","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (4\/22)\/((-6)\/11)*61*-3. Solve -10*a + 142 = r*a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 13403 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let n(r) = -8*r + 1. Let q(k) = -k. Let x(s) = -n(s) + 6*q(s). Let i(v) = 4*v**2 + v. Let j be i(-1). Let m(f) = 3*f + f - 4 + j*f. What is -6*m(w) + 22*x(w)?\nAnswer: 2*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 743, 744, 747, 752?\nAnswer: 759","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: -6 + -1 - 28 - (-41 - -36)\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 70 or 569\/8?\nAnswer: 569\/8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9 = 5*n - c, 13 = -5*n - 5*c + 2*c. Let i(o) = 23*o**3 + 4*o**2 + 5*o + 3. Let w(a) = 11*a**3 + 2*a**2 + 2*a + 1. Give n*i(l) + 5*w(l).\nAnswer: 9*l**3 + 2*l**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Express -70*f + 45*f + 3*f - 70*f - 73*f in the form z + w*f and give w.\nAnswer: -165","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 4\/10 - 86\/(-10). Suppose u - y = -2*u. Suppose -u*i + 30 = -45. Solve -4*b - b + i = 0 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from qsqquussssqsq. Give prob of picking 1 u and 1 q.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*a - 7*a - 5*a = 0. Solve a = 3*x - 3*b + 27, 4*x - b + 20 + 4 = 0 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1 = 2*y - l + 6*l, 4*y - 17 = -5*l. What is the first derivative of 17*x**4 - y*x**4 + 6 - 19*x**4 wrt x?\nAnswer: -40*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0*p = -p + 2*f + 1, -4*p + 4 = -f for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 132012130 - 13?\nAnswer: 132012111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let a(h) = -1. Let z(p) = -11*p + 19*p - 2*p - 3 - 4*p - 3*p. Suppose 2*c + 14 = 2. Give c*a(l) + 2*z(l).\nAnswer: -2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*w - 15 = -3*k + 1, -3*k + 5*w - 4 = 0. Let f = -0.45 + -0.05. What is the closest to k in f, 1\/7, -2?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*h - 2*h + 2*h)*(-692*h - 320989 + 320989).\nAnswer: -2076*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 148333587 divided by -3.\nAnswer: -49444529","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 21 - 18*3905\/3355.\nAnswer: 3\/61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-12)\/(-21) - 68\/(-28). Sort -3, 0, x in descending order.\nAnswer: x, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 923 and 65.\nAnswer: 4615","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is (3\/(-10))\/(43608\/2528)?\nAnswer: -2\/115","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u(l) = -2*l**2 + 84. Give u(-6).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-20 - -7) + 16 - (1 - 0).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 1265 and 1380?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 3409.21 - 3608.9. Round g to the nearest 10.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1272005 greater than or equal to -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 33244327 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 96 a factor of 11616?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: 5 + -1 + -1 + 6 - 5\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -33 - -32.61. Let p = -0.39000199 - s. Round p to seven decimal places.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 22\/35 - (-18)\/(-90)?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 71 + 65 - 7*v - v**3 + 8*v.\nAnswer: -v**3 + v + 136","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let n(j) = -36*j + 7. Let m(i) = -18*i + 4. Let r(l) = 7*m(l) - 4*n(l). Let o(v) = v - 6. Let g be o(7). What are the prime factors of r(g)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(a) = 34*a**5 + 7*a**4 + 21*a**2 - 7. Let x(h) = 23*h**5 + 5*h**4 + 14*h**2 - 5. Let y(f) = -5*v(f) + 7*x(f). Find the third derivative of y(c) wrt c.\nAnswer: -540*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 4717219?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -m + 5 - 3. Suppose 5*i - 20 = i. Suppose i*f - 4*b - 25 = 0, 10 = 2*f - 2*b + b. What is the smallest common multiple of f and m?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 602 - 4?\nAnswer: 5cb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 323511 - -14?\nAnswer: 323525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 u when two letters picked without replacement from {b: 1, u: 3, r: 5}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 5837.\nAnswer: 13, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let v(d) = -2*d - 44. Let r be v(-41). Suppose 40*o - r*o = 3028. What is the hundreds digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 6\/(-24) - 30\/8. Let b(d) = -10*d + 30. Is 4 a factor of b(s)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 351 and 936?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand -q**2 + q**2 + 2*q**5 + (q + 4*q - 4*q)*(4 + q**4 - 4) - 2047097*q**3 + 7467*q**5 + 2047097*q**3.\nAnswer: 7470*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -p - 9 = 5*r, -3*p + 292 = -5*r + 279 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 17349428 to the nearest integer?\nAnswer: 4165","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 9246 in -13, 6\/43, -3?\nAnswer: 6\/43","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0000002931 rounded to 7 decimal places?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from rnxmmmnnmrxqxqmnnmn. Give prob of picking 1 n and 1 m.\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {j: 9, b: 7}. Give prob of picking 1 j and 1 b.\nAnswer: 21\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in -4, -16, -0.07, -1, -0.029?\nAnswer: -0.029","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let d(f) be the third derivative of f**5\/60 + 2*f**2. Let j be d(0). Factor 5*n - 2 - 7*n**2 + j*n**3 + n**3 + 3*n**2.\nAnswer: (n - 2)*(n - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -467 or -5152\/11?\nAnswer: -467","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 156 minutes before 11:16 AM?\nAnswer: 8:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 127544\/87 + -1466. Is h bigger than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 p and 1 g when two letters picked without replacement from gpppggggppgggg.\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 7 a factor of 13283081?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -7669447*h**2*q**2 - 2*h**2*q - 4*h**2 + 104*h + 4*q + 8 wrt q.\nAnswer: -15338894*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*l = 5*m + 35, -3*l + 45 = -4560*m + 4557*m for m.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -30*t - 3*u = -27*t + 18, 2*u + 17 = -3*t. Suppose -80 = 2*q - 6*q. Sort q, t, 1, 3 in descending order.\nAnswer: q, 3, 1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: 5955 divided by -3\nAnswer: -1985","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: 2265 divided by 3\nAnswer: 755","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -34*n = 38*n - 276624. What is the greatest common factor of n and 170?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 18*(30\/9)\/(-10)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 38 - 5114?\nAnswer: -5076","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 9203?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let l(i) = 5*i + 5. Give l(-4).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:43 PM and 11:07 PM?\nAnswer: 264","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -21 or -109\/5?\nAnswer: -109\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*j = -5*s + 34, -4*s + 18 = 2*j - 3*s. Suppose 187 = j*h + 27. Calculate the remainder when 59 is divided by h.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 2\/5  (b) 7470  (c) -1\/192\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 4 - 1. Suppose -5*z + 2*m = -17, -2*z - 3*m + 12 = i*z. Which is smaller: z or -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -601*o**2 - 610*o**2 + 1189*o**2.\nAnswer: -22*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let a(u) = 311*u**2 + 4972*u + 20. What is the remainder when 1169 is divided by a(-16)?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 9473870?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -6*((1*(sqrt(1100) - -2*sqrt(1100)) + sqrt(1100))**2 - (3 + sqrt(1100) + sqrt(1100)*-2)).\nAnswer: -105582 - 60*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (648\/(-90))\/(1\/(-5)). Let i be (6*2 - -1) + p + -36. Solve 2*u + n - 1 = 0, -4*u - 10 - i = -3*n for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(w) = -5240*w**3 + 6*w + 17. Let x be f(-2). Suppose -25385 = -10*t + x. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 5862760?\nAnswer: 2, 5, 103, 1423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 201602?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2\/13?  (a) 20  (b) -5  (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 4325333?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let p be ((-980)\/(-80) - 11)*132. Calculate the greatest common divisor of 4565 and p.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence aaa when three letters picked without replacement from {a: 3, e: 1}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let k(u) = -u**2 + 47*u - 157. Let h be k(30). Let w be (-114)\/(-266) - (h\/7 - 0). Which is the third smallest value?  (a) 0.2  (b) 3  (c) w  (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 84159113 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4 - 4 - 5*j**3 + (0*j + 3*j - j)*(-2 + 2 - j**2))*(4*j + 0*j + j).\nAnswer: -35*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -5  (b) -18  (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 41301 (base 6) in base 14?\nAnswer: 2017","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert 23ab23 (base 14) to base 15.\nAnswer: 191983","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is one fifth of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -c089b + 6?\nAnswer: -c0895","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 5984?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let g(f) be the second derivative of -f**6\/60 + f**5\/8 + 7*f**4\/24 - 29*f**3\/12 - 15*f**2\/2 - 113*f. Solve g(a) = 0.\nAnswer: -2, -1, 3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, 31, -2, -4 in descending order.\nAnswer: 31, 2, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Does 4 divide 88?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 598120 is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.2 in 5, 2\/3, -7?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let 2*y**5\/9 + 52*y**4 - 944*y**3\/9 + 4*y**2\/9 + 314*y\/3 - 472\/9 = 0. What is y?\nAnswer: -236, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*p**3\/5 + 18627948*p**2\/5.\nAnswer: 2*p**2*(p + 9313974)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 256846 is divided by 18306.\nAnswer: 562","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {n: 2, s: 11, j: 1}. Give prob of sequence sjn.\nAnswer: 11\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let n(j) = 47*j - 34. Let w be n(2). Suppose -107*p + w = -103*p. Solve 5*q = 2*q + p for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(a) = -a**2 - 11*a - 4. Let n be l(-10). Suppose 4*m + 4*m = n*m. Let c be ((-8)\/10)\/((-2)\/10). Solve r + m*r = -c for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*sqrt(114)*-3)\/(-2*(-5*sqrt(6) - sqrt(6) - sqrt(6))).\nAnswer: 3*sqrt(19)\/14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 161164 and 172?\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.3, -45, 0.1, -5\/9, -3\/7 in descending order.\nAnswer: 0.1, -0.3, -3\/7, -5\/9, -45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -8667950, -8667947, -8667944, -8667941, -8667938?\n\"Answer: 3*t - 8667953","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Round 4.7146547 to two decimal places.\nAnswer: 4.71","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 29151748 to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 1157 a factor of 56920343?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let q(l) be the second derivative of 901*l**7\/42 + 116*l**3 - 449*l. Find the second derivative of q(f) wrt f.\nAnswer: 18020*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 0.06207 - 0.01207. What is the nearest to 1\/11 in 0.4, 0.5, -0.3, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 3\/928 and 105\/19402276?\nAnswer: 155218208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -919 - -919. Which is the closest to 1\/3?  (a) p  (b) -4  (c) 5\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {o: 2, m: 3, z: 1, s: 5, a: 1, u: 1}. Give prob of sequence mu.\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:27 AM and 5:34 PM?\nAnswer: 607","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let o(v) = -16*v**3 + 5*v - 3. Let h(i) = 64*i**3 - 22*i + 13. What is -6*h(a) - 26*o(a)?\nAnswer: 32*a**3 + 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-96)\/36*(-6)\/4. Suppose -j + 409 = w*n, 606 - 199 = 4*n - j. Suppose -294 + 90 = -3*m. Calculate the highest common divisor of n and m.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 0 or 1\/5049739?\nAnswer: 1\/5049739","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 5*l**2 + 9*l - 97*l**3 - 3 + 4 - 8*l - 13*l**2 + 10*l**2 to the form n + a*l**3 + h*l**2 + o*l and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*h - 8 = 7*h, 4*q + 4*h + 1048 = 0. Let i be (-2)\/9 + (4 - q\/36). Sort 1, i, -7 in decreasing order.\nAnswer: i, 1, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 314666?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.225 and -0.0242.\nAnswer: -0.005445","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let h(t) = -4 + 1358*t + 3 - 1372*t. Let k(i) = -41*i - 4. What is 7*h(x) - 2*k(x)?\nAnswer: -16*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 times -686.7?\nAnswer: -1373.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 22430 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.626 times 660.68?\nAnswer: 413.58568","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, -2, 0, 3, 41 in increasing order.\nAnswer: -5, -2, 0, 3, 41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:12 AM and 9:22 PM?\nAnswer: 670","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let f(n) = -n**2 - n + 1. Let t(y) = -17*y**2 + 8*y - 26. Let z(w) = 99*w**2 - 49*w + 160. Let q(m) = 37*t(m) + 6*z(m). Give -2*f(v) - q(v).\nAnswer: 37*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-49 - 5) + 50 + -14.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 54662 = 14*u + 384. What are the prime factors of u?\nAnswer: 3877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(r) = r**2. Suppose 4*o + 36 = 5*o. Suppose -5*b - 21 = -o. Let i(g) = -b*g + 6*g + 0*g - g. What is i(t(u))?\nAnswer: 2*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 6\/15*-1 - 13\/5.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -212470*5.\nAnswer: -1062350","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*u - 2 = 7*u. Let m be u\/13 - 123\/(-39). Suppose -3*c + 2*c - 26 = -g, -2*c = 5*g - 116. Calculate the greatest common factor of g and m.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(f) = -2*f. Suppose -702 = 26*r - 32*r. Let g(s) = -115*s - r*s + 225*s. Give g(l(o)).\nAnswer: 14*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let j(d) = 1. Let k(o) = -7*o + 28. Let s(i) = 2*j(i) - k(i). Let n be s(7). Calculate the greatest common factor of n and 92.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 4\/20 - (11\/(-55))\/(-1). Solve -5*g - 5*a + 5 + 30 = x, g = 5*a - 5 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.152 - -110819\nAnswer: 110819.152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let b(o) = 5*o. Let z(f) = 290*f. Give z(b(q)).\nAnswer: 1450*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Express (1 + 0 + 2)*(-2*a + 96*a + 1751*a) as x + f*a and give f.\nAnswer: 5535","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 1108d4 (base 14) in base 12?\nAnswer: 23a5a2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 7339, 29400, 66165, 117634, 183807, 264684?\nAnswer: 360265","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Express f**2 + 1 - 1 + (8*f + 1 - 1)*(2*f - 6*f + 2*f) in the form s*f + m*f**2 + r and give m.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -37 - -87. Let p be 8*((-14)\/8 + 1). What is the remainder when o is divided by ((-68)\/(-6))\/(p\/(-9))?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 19 a factor of 95649?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose j + 25 = 4*j - 2*g, 4*j - g = 25. Let q = 8 - 10. Let r = q + j. Solve 2*l - 10 = -2*l - 5*o, -r*l - 3*o + 6 = 0 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 119228396?\nAnswer: 2, 7, 29, 146833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 15364 to the power of 1\/4, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -s = -3*b - 7, -13*s - 15*s + 58*s + 2*b - 14 = 17*s + 11*s for s.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let k(n) = 38*n**3 + n**2. What is k(1)?\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*h - 1 + 1)*(-33*h**3 + 291 - 291 - 3*h**3 + h**3 - h**3 + (-2 + 4 - 3)*(-2 + 2 - 2*h**3)).\nAnswer: -68*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, 5, -1654410 in ascending order.\nAnswer: -1654410, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -15 - (-44 + (6 - -20)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p(x) = -320*x - 41594. Calculate p(-130).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -85, 295, 675?\nAnswer: 1055","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*q - 13*a + 12*a = -4, -3*q = -a - 8. Solve -q*g - 11 = -1 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 472.\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let n(b) be the second derivative of -7\/15*b**6 + 0*b**4 - 19\/2*b**2 - 23*b + 0 + 0*b**5 + 0*b**3. Differentiate n(k) with respect to k.\nAnswer: -56*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5 - 5 - 3*d + 0.\nAnswer: -3*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 78 + -82. Put 4, q, -2 in increasing order.\nAnswer: q, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 442 a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is twenty-seven halves of a century in years?\nAnswer: 1350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 76015080 + -76015127.000051. Let l = 47 + x. What is l rounded to five decimal places?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(f) be the third derivative of -7*f**6\/60 + f**5\/60 - 3*f**2. Let j be -3*((-48)\/18 - -3). Give x(j).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be ((-1)\/3)\/((-23)\/(-12) + -2). Sort -1, -3, m in increasing order.\nAnswer: -3, -1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 66649201 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -9*o - o - 154*o**2 + 10*o + 158*o**2.\nAnswer: 4*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1536743984.\nAnswer: 2, 6287, 15277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2?  (a) -0.2  (b) -3  (c) 0.328  (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -8, -17, -14, 7, 52?\nAnswer: 127","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 13 + -98 + 69 - (-6 - 0) - (65 - 0).\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 685 minutes before 9:29 AM?\nAnswer: 10:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 3727246?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -2769910 or -2769968?\nAnswer: -2769968","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify p**(-5)*(p**(-6)*p)\/p*p*(p*p**2*p)**15 assuming p is positive.\nAnswer: p**50","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in 5\/24 of a day?\nAnswer: 18000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 1309761 and 269.\nAnswer: 269","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: -4249 (base 13) to base 15\nAnswer: -2ac7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-6)\/(-144)*4616\/20 - 6. Let b = n + -31\/10. Calculate the common denominator of b and -37\/18.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:00 AM and 6:59 PM?\nAnswer: 599","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -83 and 0.4.\nAnswer: -33.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, 2381, 4, -4, -24 in descending order.\nAnswer: 2381, 4, 0, -4, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 898098453 to the power of 1\/10, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Does 145 divide 7487?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 19.7934 + -0.0634. Let h = q + -20. Let t = h - -0.2788. What is t rounded to 3 decimal places?\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {i: 2, l: 3, m: 2, w: 3, q: 4, x: 2}. Give prob of picking 2 x and 2 m.\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -240*p + 11 = -229*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (6 - 2 - 2)*(0 + 0 - 2*x) + 4*x - 2*x - 3*x + (-4*x - 6*x + 2*x)*(1 - 1 + 1) + 0*x + 0*x + x - 3 + 3 + 3*x - x + 4*x - 2*x to c*x + y and give c.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 81, 75, 65, 51, 33, 11?\n\"Answer: -2*g**2 + 83","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 402 minutes before 1:45 AM?\nAnswer: 7:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 59 - 56. Solve u*w = -0 - 9 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*y + 1 = -5*t, -9 = 2*y + 4*t - 1. Put -8, -1, y, 0 in descending order.\nAnswer: 0, -1, y, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 97\/22 and 61\/868.\nAnswer: 9548","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 79\/33 and -103\/94692.\nAnswer: 1041612","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*a - 3*o + 0 = 7, -12*a + 9*a + 99 - 33 = -12*a - 2*o for a.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: -33856 divided by 8464\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand -151*l**2 - 12*l**3 + 151*l**2 + l**3 + 3*l**3 - 3*l**3 + (-l**2 - 3 + 3)*(-1 - 2*l + 1) + l**3 - l**3 + l**3.\nAnswer: -8*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -2 + -3 - ((5 - 11) + (-9 - -16)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (130\/195)\/((-8)\/(-3))?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -11913.88 + -0.19403?\nAnswer: -11914.07403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let x(r) = 425*r**3 + 51*r. Let u be (-460)\/(-276)*(-6)\/5. Let p(n) = 17*n**3 + 2*n. Determine u*x(s) + 51*p(s).\nAnswer: 17*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2864*x**3 - 20241*x**3 - 14498*x**3 - 13239*x**3.\nAnswer: -45114*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 251 minutes before 11:12 PM?\nAnswer: 7:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n**(-10)\/(n\/(n**(-1\/7)*n)))**(-41)*(n**(-2\/17)*n*n*(n\/((n\/(n\/(n**(-1\/2)*n*n))*n)\/n*n*n*n))\/n)**(-37) assuming n is positive.\nAnswer: n**(122025\/238)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let p(u) = -2 - 9*u + u**2 + 9*u + 5. Let v = -1 - -4. Let k(r) = -r**2 - 4. Give v*p(m) + 2*k(m).\nAnswer: m**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4 = -4*m + 3*j, 8*j = -5*m + 9*j - 16 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 0.2, 4\/9, -10, 0, -597, -0.5, 80?\nAnswer: 80","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let o(m) = -m - 4. Let d be o(-6). Find the third derivative of -5*j**2 - d*j**2 - 4*j**5 + 14*j**5 wrt j.\nAnswer: 600*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(r) = -16*r**3 - 2*r**2 + r - 2. Is v(-3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(a) = 2*a**2 + 5*a + 1. Let t(u) = -3*u - 3. Let g be t(-2). Let z(c) = c + 14. Let o be z(-9). Let y(i) = -i**2 - 3*i - 1. What is g*s(h) + o*y(h)?\nAnswer: h**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let j(i) = 3*i + 50. What is the smallest common multiple of j(-14) and 10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(l) = -l**4 + l**3 + l**2 - 1. Let a(d) = 19*d**4 - 2*d**3 - 2*d**2 - 16. Let w(v) = a(v) + 2*b(v). What is the first derivative of w(t) wrt t?\nAnswer: 68*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*k - 6*k + 56. Let m(n) = -n**2 + 467 - 467 - k*n. Let o be m(-14). Solve 0 = 3*b - o*b - 9 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -0.011  (b) -1  (c) -0.05\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Are 0 and 10\/77 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -15.7?  (a) -1\/11  (b) 5\/3  (c) 2  (d) 4\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let l be ((-4)\/10)\/((-448)\/1680). What is the nearest to -4\/5 in -1, -5, -4, l?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 g and 1 d when four letters picked without replacement from {f: 1, d: 6, g: 12}?\nAnswer: 110\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 2 a factor of 40\/(-50) + (-17)\/(-10)*4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 5\/4  (b) 2\/11  (c) 807\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 8419, 8680, 9155, 9880, 10891?\nAnswer: 12224","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Express (-12*o + 28*o + 3 - 19*o)*(-2 + 4 - 4) in the form c + g*o and give g.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.010776968889 rounded to 7 decimal places?\nAnswer: 0.010777","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -6 - -8. Let v be 48\/36*3\/t. Solve -3*h + 2*j = v, 4*h - 3*h + 3*j - 3 = 0 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 23968746919 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let r(h) = h**2 + 54*h + 8. Give r(-7).\nAnswer: -321","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let y(p) = -2*p - 10. Suppose 0*f + 13 = -f + 4*v, -3*f + 5*v = 32. List the prime factors of y(f).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(j) = j**3 - 3*j**2 - 13*j + 3. Is q(10) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1053?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -20297*r**3 + 22626*r**3 - 2326*r**3.\nAnswer: 3*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 1101100000 - 11010000?\nAnswer: 1010010000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let a(d) = -44*d + 65. Let y be a(1). Let p be 0\/((-8)\/((-56)\/y)). Let k be (6\/(-4))\/(1\/(-2)). Solve 4*r - 5*q + 3 = p, r + 6 = 4*q - k for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(t) = t - 10. Let n be z(6). Let g be (-301)\/(-35) - n\/10. Suppose -4*f = -3 - g. Which is the third biggest value?  (a) f  (b) 0.1  (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((q**(-1))**(-3\/4)\/(q**1)**(-1\/12))\/((q*q\/(q**1*q)*q*q)\/q*q**2)**(1\/17) assuming q is positive.\nAnswer: q**(67\/102)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 z and 2 h when four letters picked without replacement from zhhzhhhhzhhzhhhhhhh?\nAnswer: 105\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 507 + -362. List the prime factors of s.\nAnswer: 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-3)\/(-4))\/((-1470)\/(-2450)).\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (3380\/(-12))\/5*(-4)\/6. Let j = -2564\/63 + p. Let x = -16 - -6. What is the common denominator of j and x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -121 + 192 + -105 - 29.\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -7 - -10. Let s = h - 2.8. What is the closest to -1 in 1, -0.2, s?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -33 = -14*l - 47 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 24 and 2424.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*h = -4*z + 496, -h = -z + 158 - 28. Suppose -4*v - 268 = d - 5*d, -d + 335 = -5*v. Let s = v + z. What is the units digit of s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(l) = -l**3 - l**2 - 2*l - 1. Is g(-3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(a) = -a + 6. Let m be n(6). Suppose -t - 8 = -3*w, m = -3*t - w + 6 + 10. Put t, -2, -10 in decreasing order.\nAnswer: t, -2, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -15 - -14.93. Let v = -29774 + 119095\/4. Which is the closest to -0.2?  (a) -4  (b) t  (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 0.09144 or 54.23?\nAnswer: 54.23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3582 is divided by 40.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Find i such that i**3\/5 + 872*i**2\/5 + 37668*i - 767376\/5 = 0.\nAnswer: -438, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let l be ((-3510)\/50)\/((-1)\/(-5)). Let y = 536 + l. Let j = y - 131. Calculate the highest common factor of 36 and j.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 416, 391, 366, 341, 316?\n\"Answer: -25*q + 441","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Round 13816200 to the nearest one million.\nAnswer: 14000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 4985\/1*(-10)\/(-10). Suppose -v = -7*c + 8280. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine c so that 1156*c**4 - 9643624*c**3 + 20094184228*c**2 + 75751233792*c + 71327453184 = 0.\nAnswer: -32\/17, 4173","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let v(f) = 5*f**3 + 2*f**2 - 2*f + 2. Let y be v(2). Suppose -10*c - y = -11*c. What are the prime factors of c?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -37\/30 and 11\/12159.\nAnswer: 121590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*a**4\/11 - 5013906*a**3\/11 - 18*a**2\/11 + 1367430*a - 10027812\/11 = 0. Calculate a.\nAnswer: -2, 1, 835651","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1*-5 - (11 + -497).\nAnswer: 13, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 204406721.\nAnswer: 563, 363067","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let v(x) = -x**3 - 4*x**2 - 9*x + 12. Let y be v(-5). Calculate the highest common factor of y and 246.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in 3\/10 of a gram?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 2897 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*v - 2*s = -16, 0 = v + s - 5 - 1. Let f be (24\/v)\/(2 - 0). Let y be (-1 + 15\/10)*f. Solve -k = -0 + y for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.04 times 9\nAnswer: 0.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -10 - (((-4 - 20) + 31 - 12) + -6).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.04 in 1, -2\/9, -1\/2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let m(f) be the first derivative of f**3\/30 + 383*f**2\/20 + 1131*f\/5 + 15611. Determine k so that m(k) = 0.\nAnswer: -377, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 212 a factor of 245284?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 3382 and 712.\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let d(w) be the second derivative of -37*w**3\/6 + 2*w**2 + 2301*w. Give d(-1).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((375\/(-60))\/5)\/((1\/(-4))\/1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -7 - -12. Suppose a*d = f + 153, 36 = 2*d - 2*f - 22. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 406791?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 5634349873 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let o(u) = 43*u + 4344. Determine o(-104).\nAnswer: -128","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let s(y) = 2*y**2 - 9*y - 2. Let d = -127 - -103. Let r be (d\/9)\/((-2)\/(-3)). Let g(m) = -m**2 + 5*m + 1. Calculate r*s(v) - 7*g(v).\nAnswer: -v**2 + v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -21*w**3 - 32 + 32*w**4 - 15*w**3 + 36*w**3 wrt w?\nAnswer: 128*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-224)\/22 - (1 + (-91)\/77). Let h(n) = -n**3 - 11*n**2 - 7*n + 5. Determine h(l).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -47\/10 and -173\/8340.\nAnswer: 8340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 1073003 to the nearest integer?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.3, 0, -4254, -0.1, 475 in ascending order.\nAnswer: -4254, -0.3, -0.1, 0, 475","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 1713 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: Calculate the highest common divisor of 94415 and 1748.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let g(l) = -2*l**3 + 2*l - 1. Suppose 0 = 4*h - u - 1, h - 3*u + 0 - 3 = 0. Suppose d - 5 + 7 = h. Is 3 a factor of g(d)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -0.053231 or -2\/21?\nAnswer: -0.053231","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: 92\/((-6440)\/(-910))*4\/(-20)\nAnswer: -13\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -1.017 + -0.023. Let q = g + 0.04. Put q, 1\/5, -0.1 in decreasing order.\nAnswer: 1\/5, -0.1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*t = 12*t - 3*h - 19, -2*t = 5*h + 11. Solve -3*g - 2*m = -t, -g + 4*m = g + 4 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 135202 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {i: 1, u: 1, t: 3, a: 2, s: 1, h: 5}. What is prob of sequence atis?\nAnswer: 1\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 602201449?\nAnswer: 659, 913811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 9\/12*(-46)\/(-69)*1?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -8791240*u**5 - 413654*u + 12.\nAnswer: -175824800*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: -5 divided by 169\nAnswer: -5\/169","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*y + 27 = -4*f, -24*y + 27 = -28*y - 5*f for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((z\/((z*z\/z**0)\/z*z))**(-1\/27))**(5\/3)\/((z**(-1\/7)*z*z**4)\/(z**3*z\/(z\/(z**(-1\/3)*z)))) assuming z is positive.\nAnswer: z**(-640\/567)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, 4, 0, 211 in descending order.\nAnswer: 211, 4, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2\/13, -5, 500, -1\/9, -2.79 in ascending order.\nAnswer: -5, -2.79, -1\/9, 2\/13, 500","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*u - 328*n + 642*n - 169 = 313*n, 0 = -5*u - 8*n - 239 for u.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 560 minutes after 6:30 AM?\nAnswer: 3:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 3 + -c4e3?\nAnswer: -c4e0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let k(l) = -l**3 + 4*l**2 - 2*l + 5. Let z be k(4). Let q(u) = -13*u + 4. What is the remainder when q(z) is divided by -2 + (-1 - -4) - -21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 179.\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 1\/8, -1.3, 1\/7, 268\/9, 0.5?\nAnswer: -1.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*l = -l + 38. Suppose -4*o + 6 + l = 0. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*f + 5 = -3*x, 449*f - x - 7 = 448*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 1256 + -260. What are the prime factors of x?\nAnswer: 2, 3, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find n, given that 3*n**5\/5 - 6*n**4\/5 - 48*n**3\/5 + 42*n**2\/5 + 189*n\/5 + 108\/5 = 0.\nAnswer: -3, -1, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 6607536?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the seventh smallest value?  (a) 0.14  (b) 2  (c) 17  (d) -2  (e) 9.3  (f) -0.02  (g) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.449465583 rounded to 1 decimal place?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Put -98, -0.3, 4, 0 in decreasing order.\nAnswer: 4, 0, -0.3, -98","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 127 in -1, 430, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Convert 6723 (base 9) to base 2.\nAnswer: 1001101100010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 27759851233 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let f(h) = 3*h**3 - 2. Let t be (-6)\/42 + 150\/21 + -5. Let y(b) = 3*b**3 - 3. Calculate t*y(i) - 3*f(i).\nAnswer: -3*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 41698439.\nAnswer: 53, 786763","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 3382 - 3315. What is the remainder when p is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 3.6756 and 2174.\nAnswer: 7990.7544","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*i - 9*i = -24. Suppose 0*m + 6 = 2*m. Solve 4*q - 16 = m*w - q, q = -i*w + 17 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(s) = -3*s**4 + 2*s**3 - 3. Let m(b) = 1905*b**4 + 8*b**3 - 20*b**2 - 2. Let o(x) = -m(x) + 4*r(x). Find the third derivative of o(u) wrt u.\nAnswer: -46008*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 764968 and 44.\nAnswer: 8414648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 8 + -1 + 26 + -42.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 130, 156, 228, 370, 606?\n\"Answer: 4*d**3 - d**2 + d + 126","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 2\/56789 + -56811\/624679. Which is the nearest to -4.8?  (a) 10  (b) p  (c) 3  (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 minus -911671593393?\nAnswer: 911671593393","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1258497?\nAnswer: 3, 5179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand (14 + 20 - 1)*((0*o + 5*o - 2*o)*(-1 - 2 + 1) - o - 2*o + 5*o + (-2*o + 2*o - 2*o)*(2 - 1 + 1) + o + 3*o - 7*o).\nAnswer: -363*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 942545*o + 711757?\nAnswer: 942545","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-6)\/(-21) - 8\/(-21). Let n be (8\/10)\/(-3*4\/(-120)*-4). Which is the closest to z?  (a) 16  (b) n  (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -0.578 - -4.578. Which is the nearest to x?  (a) 0.1  (b) -4\/5  (c) 0  (d) 116\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 105722731 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -28*s + 4*g = -25*s - 13, -2*s - g = 6. Which is the third biggest value?  (a) s  (b) 1  (c) 35  (d) -2\/17\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -77 = -6*c - 407. Let x be (c\/(-66))\/(1\/(-3520))*-5400. What is x rounded to the nearest 1000000?\nAnswer: 16000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 741, 1389, 2035, 2679?\n\"Answer: -z**2 + 651*z + 91","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.305 and 2.67?\nAnswer: -0.81435","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*sqrt(243)*-4)**2.\nAnswer: 3888","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = w - 4*w + 3*u + 96, 3*w - 71 = -2*u. Suppose 3*v - 4*v = -14. What is the remainder when w is divided by v?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: -d9b9 (base 15) to base 16\nAnswer: -b3fa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 188*b + 104*b**2 + 564*b - 749*b.\nAnswer: 104*b**2 + 3*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 153199 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let o(r) = -r**2 + 8*r - 10. Let z be o(7). Let a = 18 + -17. Put z, -5, a in ascending order.\nAnswer: -5, z, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*c - 99 = -35*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -5258 and 0.06192?\nAnswer: 5258.06192","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -3242 - -3251. Put b, -4, 5 in increasing order.\nAnswer: -4, 5, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 5 divide (-9)\/3 - (412 - 4)\/(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -w + 0*w + 590 = 0. What is w rounded to the nearest one hundred?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5*(1 + sqrt(2057)*1 - 3*(2*sqrt(119) + sqrt(119))\/sqrt(7))**2.\nAnswer: -345 - 20*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let u(q) = 1 - 2 - 2*q**2 + q**2. Let w(j) be the first derivative of -j**3\/3 - j**2 - 6*j + 14692. Determine -3*u(y) + w(y).\nAnswer: 2*y**2 - 2*y - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*f - 5 = -3*p, 5*p - 5 = 2*f + 10. Suppose j = f*j. Suppose j = -7*l + 4*l - 2*m + 881, 5*l + 4*m = 1469. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-25272)\/2916*(-6)\/(-26).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 341299?\nAnswer: 7, 48757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 975539 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1\/7 in 36, 5, 1\/3, -2\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 3 in 3\/10, 2, 1, 2699?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 2.7 + 0.3. Let f be (0 - 0) + 26\/(-10). Let z = 44\/15 + f. What is the biggest value in 10, j, z?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*a - 665336 = -3*m, 34*a + 399201 = 37*a + 2*m. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 18 divide 20777?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let m(n) = 4*n. Let a(r) = -2*r + 3. Let c(h) = 2*h - 4. Let j(o) = -4*a(o) - 3*c(o). Determine j(m(b)).\nAnswer: 8*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (b\/(b\/b**(3\/5)))\/(b*b*b**20*b) assuming b is positive.\nAnswer: b**(-112\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 1882 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 5 + -7. Find the common denominator of 103\/6 and (o + 1)\/((-8)\/(-106)).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 3?  (a) 1\/5  (b) -16\/5875  (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-k + 3*k - 4*k)*(4 - 2 + 0) + 2*k + 0*k - 4*k - 20*k + 27 - 27)*(-6 - 6 + 5) + (2*k + 3*k - 6*k)*(-2 + 2 + 1).\nAnswer: 181*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is -16 divided by -1?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let m(w) be the first derivative of -w**2 - 297. Let n(s) = -s**2 - 39*s. Calculate n(m(f)).\nAnswer: -4*f**2 + 78*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 24 - -488. What is the highest common factor of 32 and l?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.3 in -9, -17, -1\/3, -3\/2?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from xiilttnnntbil. Give prob of sequence ibti.\nAnswer: 3\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is -930278.9 rounded to the nearest 10000?\nAnswer: -930000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Express 1 + 11*h - 6 + 5 as t*h + a and give t.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: 1101111100 (base 2) to base 8\nAnswer: 1574","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -s + 11 + 94. Let o = 188 - 4. Let v be o\/12 + 2\/(-6). What is the greatest common divisor of v and s?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 11 - 26. Let k(l) be the second derivative of -l**5\/20 - 17*l**4\/12 - 6*l**3 - 15*l**2\/2 + l - 228. What is the tens digit of k(g)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 23\/(1771\/(-42)) + 0?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 24\/(-84)*36099\/382.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 15141544739 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let f(c) = c**3 - 6*c**2 - 7*c + 4. Suppose 0 = 4*i + 4 - 36. Let z = i - 1. Let y be f(z). Put 5, -5, y in descending order.\nAnswer: 5, y, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 258054*v + 208974 wrt v?\nAnswer: 258054","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -356*h**2 - 2*h - 12682?\nAnswer: -712*h - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1503 is divided by 34360\/780 - 10\/195?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify j**(6\/19)*j\/j**(-24) assuming j is positive.\nAnswer: j**(481\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -d = -w + 7, -3*w + 18 = -4*d - 6. Suppose 0 = 2*x - 10 + 14, -w*x = 4*z. Solve z*y + 3*h = y - 16, 4*y + 4*h + 24 = 0 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*y - 7 = 3*i, -2*y - y - 27 = -5*i. Let w = -23.997 - 0.003. Let x = -24.3 - w. Which is the third smallest value?  (a) x  (b) y  (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*h + 2 = 0, 2*u - 110*h = -123*h - 13 for u.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Express -1491*o**3 + 1490*o**3 - 5*o**4 + 0*o**4 - 1 - 5*o**2 as k*o**2 + n*o**3 + l + v*o + r*o**4 and give k.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 1940 and 873?\nAnswer: 17460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -6 - -17. Suppose a = -2*i + 3*i. Let h be (150\/(-40) + 0)*(-264)\/10. Calculate the highest common factor of h and i.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 167*z - 68 wrt z.\nAnswer: 167","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2 + (6*(-5*(sqrt(700) - ((sqrt(700) + (sqrt(700) - (sqrt(700) + -3)) - sqrt(700)) + 1)) + -3 + (-1 + sqrt(700) + sqrt(700) + sqrt(700))*6))**2.\nAnswer: 102960*sqrt(7) + 4263154","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let d(m) be the third derivative of -917*m**5\/30 - 2035*m**4\/24 - 1681*m**2. What is the second derivative of d(l) wrt l?\nAnswer: -3668","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*s - 19 = 4*r, 3*r - 8 = -3*s + 2*r. Let l(i) = 1 - 2*i**s - 3*i**3 - 4*i**2 + i + 4*i**3. Determine l(-4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 7795, 7799, 7807, 7819, 7835?\nAnswer: 7855","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 469503771?\nAnswer: 3, 11, 1051, 13537","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 88152.22 minutes in nanoseconds?\nAnswer: 5289133200000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 742 and 179458?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 2  (b) -5\/162  (c) -2  (d) -2.4  (e) 3\/8  (f) -8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5 + (sqrt(432)*1 - sqrt(432)) - (-3 + 1*sqrt(432)) - ((-3*sqrt(432) + sqrt(432))*-3 + -1 + sqrt(432)*-3).\nAnswer: -48*sqrt(3) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 92393775 and 2820.\nAnswer: 705","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let i(m) = -m**2 + 5*m. Let x(z) = -12*z**2 + 1634*z - 313632. Let a(o) = 20*i(o) - 2*x(o). Factor a(h).\nAnswer: 4*(h - 396)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence sw when two letters picked without replacement from xpesw.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let i(l) = 4*l - 15. Calculate the remainder when i(12) is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(s) be the third derivative of -113*s**8\/24 - 553*s**5\/60 - 18*s**2 - 3*s - 6. What is the third derivative of y(n) wrt n?\nAnswer: -94920*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(z) = -z**3 - 34*z**2 + 244*z + 210. Calculate the remainder when 756 is divided by j(-40).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 111, 97, 71, 27, -41?\nAnswer: -139","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z(l) = l**2 - 3*l + 2. Suppose 5*g + 3*i = 21, -g + 4*i - 2 = 3. Let h be z(g). Let d be 26\/8 - 2\/8. Solve -2*s - h*s + 2*v + 4 = 0, 0 = s - d*v - 6 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(j) = j**3 + 29*j**2 - 2*j + 12. Let r(u) = -u**3 - 28*u**2 + 5*u - 18. Determine 6*l(o) + 4*r(o).\nAnswer: 2*o**3 + 62*o**2 + 8*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -211469*q**3 + 43214*q**2 - 144*q wrt q.\nAnswer: -1268814","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 21204 and 1898781093?\nAnswer: 5301","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-9 + 9 - 5*l**2)*(15*l - 226 + 226) + 2*l**3 - l + 0*l**3 - l.\nAnswer: -73*l**3 - 2*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -30, -35, -40, -45, -50?\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: -732 divided by 244\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let p(a) = -60*a - 6. Let i(f) = -30*f - 3. Give -7*i(c) + 4*p(c).\nAnswer: -30*c - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*r**2\/9 + 7622*r\/9 + 2540\/3.\nAnswer: 2*(r + 1)*(r + 3810)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let o(a) = -29*a**3 - 36*a**2 + 2*a - 2. Let z(p) = 145*p**3 + 180*p**2 - 11*p + 11. Let h(t) = 22*o(t) + 4*z(t). What is the third derivative of h(j) wrt j?\nAnswer: -348","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(y) = -6*y**4 + 53*y**3 - 14*y**2 + 3640*y + 4. Let r(m) = m**4 + 4*m**2 + 4*m - 1. Let h(v) = -p(v) - 4*r(v). Find the third derivative of h(w) wrt w.\nAnswer: 48*w - 318","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 9  (b) -8.07  (c) 2\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 2023457638?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d**3\/(d\/((d*d**3*d)\/d*d)))\/((d\/(d*d*d**9*d))\/d**(-2)) assuming d is positive.\nAnswer: d**16","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence imii when four letters picked without replacement from vieeevmeii?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -2.58408 + -0.76382. Round y to two dps.\nAnswer: -3.35","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be ((-4)\/16)\/((-27)\/12 + 2). What is the second smallest value in -0.3, l, 2.1?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(x) = 339*x**2 + 5*x - 6. Is n(4) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*x + 12 = 3*j, 12 = 5*x - x. Calculate the common denominator of -2 - (j + (-66)\/(-14)) and -26\/7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 343620291?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 37168.\nAnswer: 2, 23, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let a be ((-18)\/(-7))\/(8\/2982). Suppose 7408 = 22*t + 27670. Let p = t + a. Find the common denominator of p and 14\/11.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 8 divide 1374440?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -15?  (a) 1\/10  (b) -0.2  (c) 27\/2  (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -2  (b) 8  (c) 0.09  (d) 5  (e) 5\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 13.04 - 0.04. Let x = -17 + u. What is the closest to 1 in -0.5, -1, x?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -111010101000 (base 2) in base 10?\nAnswer: -3752","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express -p - 115 + 20*p**2 + 5 - 23*p**2 + 9 as l*p + t + j*p**2 and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let r(d) be the second derivative of -493*d**3\/6 - 54*d**2 + 409*d. Differentiate r(a) wrt a.\nAnswer: -493","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*p - 25 = m, p - 3*m - 40 = -3*p. Does 2 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 14903, 29804, 44703, 59600, 74495?\nAnswer: 89388","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3 - 1 = -2*y. Let o(p) = -4*p + 0*p**3 - p**y + 3*p + 5 + p**3. Suppose 5*l - w = -5, 5*l = -2*w + 3 + 7. What is o(l)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -11*q - 55*q**2 + 7*q + 4*q as f*q**2 + m + w*q and give f.\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1 - ((-57)\/72 - (16\/3 + -5)).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*m + 41 = 4*v, 4*m - 5*v = -6*v + 33. Suppose 14390 + 14352 = m*n. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 184.5793m to micrometers.\nAnswer: 184579300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u(p) = p**3 - 4*p**2 + p - 1. Suppose 3*f = 2*i + 6 + 1, 2 = 4*f + i. Suppose -l + f = -3. Suppose l*y = 1 + 7. Give u(y).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 19 divide 12008?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: -5 - (-10 - -2) - (28 - (-48 + 30))\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f(o) = 17*o**2 - 9. Let a(l) = l**2 - 1. What is 36*a(j) - 4*f(j)?\nAnswer: -32*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*h + 10 = -4*q, 3*h + 16*q - 14*q = 6 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -n + 12 = -34*j + 35*j, j = -2*n + 33. Calculate the smallest common multiple of n and 87.\nAnswer: 609","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(s) = 64*s + 371. Determine r(-6).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let s(a) = 2*a**2. Let o(d) be the first derivative of -14*d + 14*d + 4 + d**2. Give s(o(p)).\nAnswer: 8*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 210176113 is divided by 4443?\nAnswer: 4441","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-4 - -7) + -7 + 0.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -3 - -1b?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -2038, -2103, -2214, -2371, -2574, -2823, -3118?\n\"Answer: -23*i**2 + 4*i - 2019","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 37040?\nAnswer: 2, 5, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 28\/9 and 801\/(-162)*(-6)\/(-10).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -5 divided by 169.\nAnswer: -5\/169","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 1.306 + 5.794. Is 0.02 > d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 18803*s - 18784*s + 152 = 0 for s.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 449 - 401. Calculate the greatest common factor of w and 84.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 7441?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Does 61 divide 26626?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-304)\/36)\/(-19)*126\/4.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 28302 is divided by 5638.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let g(h) = -34*h**2 + 1818*h + 426. What is g(54)?\nAnswer: -546","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*l = 4*a + 38, 2*a + 20 = -2*a. What is the remainder when 48 is divided by 3\/18*-4*(-21 + l)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(k) = -8*k + 10. What is j(-7)?\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 116546 is divided by 376.\nAnswer: 362","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -52 - -52.1. Which is greater: z or 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in eighteen fifths of a meter?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (28\/14 - (12 + -4)) + 1 + 2297. Calculate the highest common divisor of y and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose c = 6*c - 5. Let t(v) = 2*v + c + 11*v - 6*v. Let y(b) = b. Determine -t(j) + 5*y(j).\nAnswer: -2*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 27219462499 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let p(m) = 3 + 5*m + 0 + 0*m**2 - 2*m + m**2. Let d be (-5 + -1)\/(-3) + -4. Let w(a) = -3*a - 2. Give d*p(y) - 3*w(y).\nAnswer: -2*y**2 + 3*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -47\/3 + 16. Let m be (2 - 2\/2) + 3. Let u be (-7 - -5) + -2 + m. What is the closest to -0.1 in u, 2\/3, t?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, -4, 2, 0, -1 in decreasing order.\nAnswer: 4, 2, 0, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -2 and 2.6483?\nAnswer: 4.6483","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 144 and 12564.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let h(j) = -10*j**3 - 58. Let u(v) = v**3 + 1. Let p(n) = -2*h(n) + 6*u(n). Find the first derivative of p(r) wrt r.\nAnswer: 78*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 2 - (6\/4)\/(9\/(-12)). Factor 2\/5*b**2 + 0*b + 2\/5*b**i + 0 - 4\/5*b**3.\nAnswer: 2*b**2*(b - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -364 + 364 - 13*h**5 + (-3*h**2 + 3*h**2 - 2*h**2)*(0*h**3 + 2*h**3 + 0*h**3).\nAnswer: -17*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let y(c) = 15*c**3 + 6*c**2 - 46*c. Let m(q) = -27*q**3 - 10*q**2 + 92*q. Give -3*m(j) - 5*y(j).\nAnswer: 6*j**3 - 46*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let f(m) = -m**3 - 6*m**2 + 5*m - 9. Let l be f(-7). Suppose -j + 155 = 4*w, 3*w - j - 125 = -0*j. Let s = -26 + w. Solve 10 = l*o, -z - 4*z - s = 3*o for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -26 + 1508*w + 123*w**2 + 1506*w + 49 - 3014*w - 23.\nAnswer: 123*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 x when two letters picked without replacement from {x: 3, w: 4, a: 9, o: 4}?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 2*s**4 + 26486*s**3 + 15854*s + 2?\nAnswer: 24*s**2 + 158916*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3 = -5*h - 7, -5*h - 94 = -3*q. Suppose -4*y + q = 3*y. Let p(x) = 24*x**2. Calculate the lowest common multiple of p(-1) and y.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -1236358.038 + 1237370. Let u = 1013 - m. Let g = u + -1. What is g rounded to 2 dps?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -3 and -10184?\nAnswer: 10181","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 957.372595 rounded to the nearest 100?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 25183 is divided by 787?\nAnswer: 786","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is -8987850 divided by 1?\nAnswer: -8987850","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let t(i) = 4*i**3 + 83*i**2 + i + 26. Let m be t(-21). Is m <= -435?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*o = -l - 3, -2*l = -9*o + 4*o - 39. Suppose i + 6 = 3*k, 4*i + 6*k - 31 = l*k. Which is the fourth biggest value?  (a) -4  (b) i  (c) 6  (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*d + 36 = 18, 0 = 2*p + 4*d - 86. Solve -p + 25 = 6*n for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 38*p + 10 = 40*p. Suppose p*k - 12138 = -3*a, 3*k = a - 2*a + 7282. Let d = k - 1442. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 204 - 209. Sort 27, 4\/3, f in descending order.\nAnswer: 27, 4\/3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l*l\/(l\/l**36))\/(l\/((l*l**(-47)*l)\/l)*l) assuming l is positive.\nAnswer: l**(-11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let d(a) = 2*a**3 - 2*a**2 - 93*a + 114. What is d(11)?\nAnswer: 1511","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 393617 and 277?\nAnswer: 277","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 1638 and 34623498?\nAnswer: 546","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 46*p**2 - 8*p**2 + 6*p**2 + 5*p**2.\nAnswer: 49*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Divide 141095 by 5.\nAnswer: 28219","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.01360439 to 3 dps.\nAnswer: 0.014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {f: 9, w: 7}. What is prob of picking 2 f and 1 w?\nAnswer: 9\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 1 - 0 - (-3)\/3. Let u(d) = 5*d**n - 2*d**2 + 40*d + 2 - 37*d. Let z(q) = 5*q**2 + 5*q + 3. Calculate 7*u(y) - 4*z(y).\nAnswer: y**2 + y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -338 or -306?\nAnswer: -338","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, 0.418, 1.4, -1, 2, -0.5 in decreasing order.\nAnswer: 2, 1.4, 0.418, 0, -0.5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -8 - 15 - (-16 - -16).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u(c) = 4*c - 51. Let i be u(15). Is (-3)\/i*(-5403 + 0) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 332 minutes before 2:40 PM?\nAnswer: 9:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 447194189 and 806.\nAnswer: 403","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -9042145 - 27?\nAnswer: -9042172","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -27*n = -509 + 455 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let a(p) = -246*p + 6111. What is a(23)?\nAnswer: 453","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 55, 0.1, 8\/27, 33, -2\/5?\nAnswer: 55","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -190 - -334. What is the highest common factor of i and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine i so that 1\/3*i**3 - 1\/6*i**4 + 1\/6 + 0*i**2 - 1\/3*i = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence chhc when four letters picked without replacement from {h: 8, d: 9, c: 2}?\nAnswer: 7\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {u: 2, a: 3, v: 2, y: 1, g: 4, k: 2}. What is prob of picking 2 u?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -47 - -48. Let i(t) = -3*t**2 - t + 1. Let o be i(g). Let m be ((-101521)\/21)\/((-1)\/3) + o. Round m to the nearest one thousand.\nAnswer: 15000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 851087 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 18564629381 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -59*c = -11656 - 332727. What is the highest common divisor of 13 and c?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -2363203, -2363205, -2363207, -2363209?\nAnswer: -2363211","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1?  (a) 5  (b) 3  (c) 2  (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*i + 2*n + 2 = 19, 3*i = -5*n - 5 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*c = c + 4*u - 8, -2*c - 4*u = -26. Find the third derivative of f**2 + 6*f**3 + f**3 - 8*f**c wrt f.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -10 + 7. Suppose 86*y = -246*y - 4648. Sort m, y, -0.2, 0.2 in ascending order.\nAnswer: y, m, -0.2, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -120, -133, -162, -213, -292?\nAnswer: -405","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Round -262764488.8 to the nearest 10000.\nAnswer: -262760000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 3*z + 5*p + 18, 2*z + 7*p + 8 = 5*p for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Put 5\/6, 1, 1\/4, 0.05 in increasing order.\nAnswer: 0.05, 1\/4, 5\/6, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 14 + -11. Suppose 0 = q + 4*b - 21, 2*q = b - p*b + 12. Which is greater: q or 1\/7?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 10604623 at least 44?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let n(i) = 2*i**2 + 141. Determine n(0).\nAnswer: 141","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-2 - 1211\/14)\/(3\/8). What is q rounded to the nearest 10?\nAnswer: -240","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 819500302 to the power of 1\/8, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:41 AM and 2:33 PM?\nAnswer: 652","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-68)\/(-18) + 36\/162?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 0.35 - 3.35. What is the third smallest value in l, -1, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(r) = r - 1. Let h be j(0). Let m = 10 - h. Let g(v) = -v - 3. What is the remainder when m is divided by g(-7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 24150886 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: Evaluate 2\/(14*(-7)\/28).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -5 - -9. Let r(c) be the second derivative of c**3\/6 - 3*c**2 - 2*c. Let j be r(8). What is the highest common divisor of n and j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 617, 622, 631, 644?\nAnswer: 661","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*p**3 + 5 + 13*p**3 - 11*p - 37*p**3.\nAnswer: -22*p**3 - 11*p + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Divide -105065361 by 154281.\nAnswer: -681","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose d + 4*d = 465. Is 14 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -6.3725592 to the nearest integer.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 124*j + 123*j - 245*j + 117*j**2 + 295*j**2 to u*j**2 + w*j + z and give u.\nAnswer: 412","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let y(k) be the third derivative of -k**8\/168 + k**7\/84 - 31*k**2. Solve y(h) = 0.\nAnswer: 0, 5\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(g) = -11*g**3 - 405*g**2 + 4650*g + 221. What is w(-46)?\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let w(c) = c - 5. Let t(r) = -2*r + 12. Let p be 1 - 1\/((-3)\/6). Suppose 15 - p = -d. Give d*w(k) - 5*t(k).\nAnswer: -2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 13 - 11. Let u be (w\/4)\/((-1)\/(-218)). Suppose 5*q = -9 + u. List the prime factors of q.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: 8.18 * -2793\nAnswer: -22846.74","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let c(d) be the second derivative of 0 - d + 1\/6*d**3 + 3*d**2. What is c(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -7938 <= 2\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 315032 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -2\/7, 1\/8, 3\/5, -13?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 20 and 25?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let x(u) = -3*u**2 + 5. Let z(j) = 4*j**2 - 6. Suppose 7 + 18 = -5*t. Let k(r) = t*z(r) - 6*x(r). Let a(y) = 2*y**2. Determine a(k(c)).\nAnswer: 8*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let k(b) = -b**3 + 7*b**2 - 6*b - 5. Let r be ((-4)\/6)\/((-2)\/15). Let t be k(r). Calculate the greatest common divisor of 30 and t.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -12*m**2*t**3 - 6*m**2*t**2 + 21*m**2 + 7*m wrt t.\nAnswer: -36*m**2*t**2 - 12*m**2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -47\/6 + 317\/42. Suppose -4*n = 3*m + 142 + 657, -2*m = 2*n + 400. Let t = n + 2191\/11. Put p, 4, t in increasing order.\nAnswer: p, t, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-4)\/(-20) - (-115)\/(-825). What is the third smallest value in p, -1, 1, -1.1?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15*a + 225134 = -93886. Suppose -48*n = -61*n + a. List the prime factors of n.\nAnswer: 2, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(d) = -5*d + 575. Let p be u(61). Calculate the greatest common divisor of p and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 73223 and 37?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*b - 5*m + 422 = -472, 3*b - 1341 = m. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(t) = -t**2 + 4*t - 3. Let f be x(3). Let v = 610 - 603. Let i = 5.066 - 0.066. Which is the second smallest value?  (a) i  (b) f  (c) -0.2  (d) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(133) + 4*sqrt(133)*4 + sqrt(133))\/sqrt(7).\nAnswer: 18*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose g + r - 17072 = 0, -7*g + 4*r + 85324 = -2*g. What is the ten thousands digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(f) = 15*f + 5. Suppose 16 = 8*u - 8. Let i(j) = -9*j - 6. Let a(t) = -11*t - 8. Let r(q) = u*a(q) - 4*i(q). Calculate r(k(n)).\nAnswer: 45*n + 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -8 - 548*k**2 + 23 + 5 + 3*k**3 + 548*k**2.\nAnswer: 3*k**3 + 20","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: -14226938 divided by -7113469\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*g = 5*h + 24, -91*g + 76*g - 4*h = 54 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 0.0399824 - 0.04. What is s rounded to six decimal places?\nAnswer: -0.000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 5.3469 + -0.0569. Let y = 4.4 - p. Let j = y - -0.93. Put j, 5, 3 in ascending order.\nAnswer: j, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 390 and 1461070?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 309205?\nAnswer: 5, 13, 67, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 806292 to the nearest integer?\nAnswer: 898","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 847147 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 34 + -37 - (1 + 3)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 15\/((-10)\/(-2)) - (3 + 0). Suppose -4*h + 2*p = 20, b*h + p = -h - 2. Let w be (2\/3)\/(-4*h\/120). Solve -w*x + 5 = -0 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1221200 (base 3) to base 15\nAnswer: -64c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -77d6 (base 15) in base 11?\nAnswer: -180a2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 3e2442 - 65?\nAnswer: 3e23dd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 7, -2\/145, -3, 2\/17, 1\/4, -23?\nAnswer: -23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1\/4 in -0.7, -41, 511?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.007695 rounded to 3 decimal places?\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*q - 62 = 2*i, 2*q + i + i = 66. What are the prime factors of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-d**5 - 2105*d + 2*d**5 + 2128*d)*((-2 + 4 - 3)*(0 - 5 + 3) + (3 - 1 + 0)*(-3 + 1 + 1) - 2 + 4 - 4).\nAnswer: -2*d**5 - 46*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -84 = -2*x - 2*x. Let d = x + -13. Suppose -g - z = -1, -3*g + 3*z - 4*z + 5 = 0. What is the greatest common divisor of g and d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -176370*a**3*k**2*q*y + 46244*a**3*q**3 + 3*a**2*q**3 + 2*a**2*y + a*k*y - 5*k**2*q**3 - 3*q**3*y wrt k.\nAnswer: -352740*a**3*q*y - 10*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -p - 113*m = -117*m - 13, -106 = -4*p - 2*m. Solve -23*t + 4*g = -p*t + 16, 0 = -4*t - 3*g + 22 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is (-144)\/(-816) + 8089036\/34 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 110 minutes after 3:18 AM?\nAnswer: 5:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 7980029?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: 2557 (base 11) to base 3\nAnswer: 11120022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 30 = 4*x - 2*z, -z - 23 = -x - 18. Let u(j) = j**2 + 8*j + 15. Let c(t) = -2*t**2 - 9*t - 14. Let y(b) = -2*c(b) - 3*u(b). Does 3 divide y(x)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -4465757.5 to the nearest 100000.\nAnswer: -4500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 78\/(-260)*20\/(-1*4).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -13 = -2*i - y - 2*y, 2*i - 5*y - 5 = 0. Let r(v) = 5*v**3 + 2*v**2 + 4*v. Let b(o) = 4*o**3 - o**2 + 18 + 3*o**2 - 18 + 3*o. Calculate i*r(t) - 6*b(t).\nAnswer: t**3 - 2*t**2 + 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, -1652, 147 in ascending order.\nAnswer: -1652, -5, 147","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4 = -0*u + 2*u. Suppose 5*t - 9 + 39 = 0. Find the common denominator of -1\/10 and (15\/u)\/(t\/(-8)).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-14)\/(-78) + (-35)\/105?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence znh when three letters picked without replacement from znhn?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-154)\/33)\/(2\/3) + 8.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(d) = -1 - 6 + 2*d + d. Let o be j(11). Suppose y = -y + o. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -410 - 76b6?\nAnswer: -7ac6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence spp when three letters picked without replacement from {b: 1, t: 1, p: 4, s: 1, e: 2}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 702236?\nAnswer: 2, 17, 23, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 138 = 37*m - 454. Solve -6 = 2*i, -2*u + 5*i - 3*i = -m for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 41 (base 5) in base 15?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 20 + -42. Let j = t - -28. Is (65\/(-4))\/(j\/(-24)) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (6 + -2)\/((-6)\/183). Let n = o - -216. Suppose f = -0*f - 5*m + 13, -4*f + n = -m. What is the tens digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*t - 3*n + 11 = 0, 0*t + n = 4*t - 1. Let q be t\/(((-20)\/32)\/(-5)). Solve -u + 2*u + q = 3*l, -2 = u + 3*l for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -159*s + 308*s - 154*s - 20 + 39 - 19.\nAnswer: -5*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 17856 and 3720?\nAnswer: 744","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 748 = 3*d + 160*d - 719 for d.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.000000716831897 to 7 dps.\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -14 + -2 + 7 + -5 + 6.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1\/377?  (a) -5\/2  (b) 13  (c) 4  (d) 0.34\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Sort 29245, 2\/7, -5, 0.9, -10\/7 in ascending order.\nAnswer: -5, -10\/7, 2\/7, 0.9, 29245","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.05 + 5493834?\nAnswer: 5493834.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/40 of a week in minutes?\nAnswer: 756","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 81 + -38. Calculate the remainder when w is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*x**3 - 8492955*x**2 + 33971880*x - 33971900.\nAnswer: -5*(x - 2)**2*(x + 1698595)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -11*s**3 + 120184*s + 18888386 wrt s?\nAnswer: -33*s**2 + 120184","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 13121 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3461, -11, -5, -14, 1.\nAnswer: -3461, -14, -11, -5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*z = -l, 2*z = -3*l - l. Find the second derivative of -2*h - 1032*h**5 + 1063*h**5 + z - 45 wrt h.\nAnswer: 620*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"}
{"text":"Question: Solve 5*q + 14 = 4*r + 34, 6 = -3*q + 2*r + 11 + 7 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 - 4 + 1)*(-2 - 2 + 2)*(17909*p**2 - 8*p - 17909*p**2 - p**5).\nAnswer: -2*p**5 - 16*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let r(f) = -471*f + 18. Let i(h) = 474*h - 14. Give 5*i(m) + 4*r(m).\nAnswer: 486*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 1 + 3. Let l(u) be the third derivative of -u**4\/8 - u**3\/3 + 10*u**2. Determine l(x).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 16 divide 96?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 3482722011 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 16183 - 1976?\nAnswer: 1460b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u**1)**(-10\/3)*((u*u\/(u\/u**(2\/5))*u*u)\/u)\/(u**8\/u*u) assuming u is positive.\nAnswer: u**(-134\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 79142 and 91.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 573, 1149, 1729, 2319, 2925, 3553?\n\"Answer: z**3 - 4*z**2 + 581*z - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0 * 191.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let m(d) be the third derivative of -5671*d**7\/210 - 6389*d**4\/24 - 2*d**2 + 2403. Find the second derivative of m(a) wrt a.\nAnswer: -68052*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.5*-93302\nAnswer: 46651","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -1 - -5002042?\nAnswer: 5002041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {x: 1, h: 1, i: 3, n: 4, m: 6}. What is prob of picking 2 i?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: a12c51 (base 14) to base 8\nAnswer: 24542667","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -2669, -2698, -2723, -2744?\nAnswer: -2761","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1?  (a) 20  (b) -1\/5  (c) 1\/5  (d) -9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 420 to the power of 1\/2, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-6)\/(-21) + -65*(-12)\/210. Suppose -5*y = -3*o + 285, 2*o + d*y = 255 - 87. Calculate the smallest common multiple of o and 45.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -167, -3, 19, 0.074 in decreasing order.\nAnswer: 19, 0.074, -3, -167","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 2025 + -1215. Calculate the remainder when ((-1)\/3)\/((-10)\/t) - -5 is divided by 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((5*sqrt(7) + 5)*6)**2 + ((5*sqrt(567) + sqrt(567))*-1)**2.\nAnswer: 1800*sqrt(7) + 27612","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let r(v) = 7*v**2 - 10*v + 6. Let h(q) = q**2 + q + 1. Calculate -6*h(s) + r(s).\nAnswer: s**2 - 16*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -562\/7 + 80. Let w = -44 + 51. What is the third biggest value in -0.1, w, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/((3\/(-9))\/(15\/(-9)))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*c**4 + 397*c**3 + 8*c - 397*c**3)*(2 - c - 2).\nAnswer: -3*c**5 - 8*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 31958*l*n - n - 23012 wrt l.\nAnswer: 31958*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 668173049 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:06 PM and 7:31 AM?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1*(sqrt(468) + 3 + sqrt(468) + 3)**2.\nAnswer: 144*sqrt(13) + 1908","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 4591180 and 63140.\nAnswer: 32138260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1*(((sqrt(30) + (sqrt(30) - sqrt(180)\/sqrt(6)))\/sqrt(6))**2 + (sqrt(10)*3)\/sqrt(2) - ((3*sqrt(125))**2 - (-2*sqrt(720))**2)).\nAnswer: 3*sqrt(5) + 1760","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Factor 102\/11 - 2\/11*h**2 + 28\/11*h.\nAnswer: -2*(h - 17)*(h + 3)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.1 in -2, -3\/1382, 0.5, 75?\nAnswer: -3\/1382","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -0.382 and -0.6?\nAnswer: 0.218","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Express 12 - 14 + 2*v + 2 - 78*v**2 as m*v + b + f*v**2 and give f.\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: 3*212889800\nAnswer: 638669400","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let m(p) = p**3 + 8*p**2 - 3*p - 1. Let x = -13 - -7. Does 17 divide m(x)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*z**3\/19 + 80*z**2\/19 + 9686*z\/19 + 164836\/19.\nAnswer: -2*(z - 98)*(z + 29)**2\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let i(s) = s**3 - 5*s**2 + 5*s + 1. Let l be i(4). Suppose -18 = f + l*f. List the prime factors of ((-7)\/f)\/(2\/30).\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -4.41 and -6097.\nAnswer: 26887.77","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: (56\/14)\/((-150)\/245025*54)\nAnswer: -121","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*x - 3*a + 5 - 49, -a - 28 = -3*x. Suppose -x*n = -8*n - 976. Let g = n + -243. Round g to the nearest 10.\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -10 - -9. Let y(d) = -8*d. What is y(w)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 9\/(-3)*4*(-4)\/80?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 111069 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 4556697 to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -51 - -53. Suppose -i*u + 25 = 3*u. Solve -3*b + 10 = -u for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p*p**(2\/3)*p*p\/((p**5*p)\/p)*(p\/(p\/(p*p*((p\/p**7*p)\/p)\/p)))\/((((p*p**(-3\/7))\/p)\/p*p)\/p))**(-17) assuming p is positive.\nAnswer: p**(1751\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(50)\/(-4*sqrt(5)))\/sqrt(5).\nAnswer: -sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 139.94 - 140. Which is smaller: t or 10?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(h) = -132*h + 138. Let w be n(1). Let y(c) = -c - 4. Let g(l) = -6*l - 21. Calculate w*g(r) - 33*y(r).\nAnswer: -3*r + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from rgrrryryrryyyry. Give prob of picking 2 y.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 21*f + 88 = -4*q + 16*f, 12*q + 264 = -f for q.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"}
{"text":"Question: Express 712*p + 1005*p + 1519*p**2 - 1520*p**2 as s*p**2 + l*p + f and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 480 is divided by 38?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 230115366 a multiple of 51?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 344 minutes before 4:03 PM?\nAnswer: 10:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 14 + -13.982. Let c = -0.0055 + z. What is c rounded to three decimal places?\nAnswer: 0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -546014 = 23*w - 10448126 - 15940688. What is w rounded to the nearest 100000?\nAnswer: 1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(g) = -g**3 + 2*g**2 - 2*g + 613. Is n(0) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 25344 and 1575?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -35713*v - 35707*v - 35710*v + 107133*v.\nAnswer: 3*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -1.54 + 1.540126. Round g to five decimal places.\nAnswer: 0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(o) = -16*o**3 + 10*o**2 - 104*o + 100. Let j(k) = k**3 + k**2 + k. Let h(m) = -2*a(m) - 28*j(m). Find i, given that h(i) = 0.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 3\/12 - 15\/(-4). Which is the closest to 1\/2?  (a) -2\/11  (b) 5  (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-5)\/(-154)*(-1743)\/(-2490)?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5*z**2 + 27 + 33 - 60.\nAnswer: -5*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (2\/(-57) - 0)*9693. Let z = 340 + v. Is 0.1 <= z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -5, -0.5, 940?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1749388 is divided by 1855?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10*k - 78 = -188. Let s = -2 - -5. Suppose -111 = -s*i + 5*d, -3*i + 3*d - 19 = -124. Calculate the remainder when i is divided by k.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -30847.8785730149 take away -0.1?\nAnswer: -30847.7785730149","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let z(v) = v**3 - 3*v**2 + 2*v - 5. Let b be z(3). Is 577 - (3 + (-6 - b)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(f) = 41*f + 277. Let m be p(-7). Let i(n) = n**2 + 7*n + 8. Calculate the remainder when i(m) is divided by 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 201*b*n**3 - 79*b*n**2 + 2*b*n - 5*b + 57402*n**3 - 5*n**2 - 12*n + 3 wrt n.\nAnswer: 1206*b + 344412","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 5.0092 + -5. What is y rounded to three dps?\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -10931377 or 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many micrograms are there in twenty-seven halves of a milligram?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve i + 740 = 20*f + 925, -4*i - 4*f - 16 = 0 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5*(5*(-1 + sqrt(245))*-1 + (sqrt(245) - (sqrt(245) + 2*sqrt(245))*-6) + 4)**2.\nAnswer: -240505 - 8820*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -49c - 1988?\nAnswer: -1e35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*n = -4*k - 7*n + 3618, 5*k = -3*n + 4520. Calculate the smallest common multiple of k and 5.\nAnswer: 4535","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -16361 + 16368. What is the remainder when 671 is divided by o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2 + (sqrt(95)\/(sqrt(5)*-2) + sqrt(19))*6*-5 - -1*sqrt(95)\/(sqrt(10)\/sqrt(2))*-5*2)**2.\nAnswer: -100*sqrt(19) + 11879","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -95\/2 and -5\/773.\nAnswer: 1546","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let l be -2 - ((-3)\/(-2) + -3). Let a = 24 + -31. What is the third biggest value in -0.4, l, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((r\/(r\/(r*r\/(r*r**(-2\/15))))*r)\/r)\/(r*r**9*r)*(r*r**(-1))**(2\/51) assuming r is positive.\nAnswer: r**(-148\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((f**14)**(31\/2))**(-20\/7) assuming f is positive.\nAnswer: f**(-620)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 29*y + 386 = 67. What is the closest to 0.04 in -0.4, y, 4\/7?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) 6  (b) 0.2  (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh biggest value in 5, 0.5, -8, -6\/29, 2, -95, -4?\nAnswer: -95","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 144 + -142. Suppose -7*q - 5 = -2*q + 5*v, -3*q + 3*v - 27 = 0. Sort -1, -4, l, q in decreasing order.\nAnswer: l, -1, -4, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -7, 1\/2, 0.01, -5, 29.9?\nAnswer: 29.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let b(o) = 4*o**2 - 3. Let y(t) = 56*t - 1. Determine y(b(w)).\nAnswer: 224*w**2 - 169","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is -19587 divided by -30?\nAnswer: 6529\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.05 and -11.2.\nAnswer: -0.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1*((sqrt(147) + -2)*-3*-2 + -4)**2.\nAnswer: -5548 + 1344*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 6.0592302 + -9?\nAnswer: -2.9407698","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let u(j) = -787*j + 9. Is u(-3) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {m: 1, p: 2, z: 1, a: 1}. What is prob of picking 2 p?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let u(r) = 541*r**3 + 6*r - 10. Let k(f) = -108*f**3 - f + 2. What is 11*k(i) + 2*u(i)?\nAnswer: -106*i**3 + i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 k and 1 h when three letters picked without replacement from cryokhkh.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -0.2764 + 0.1764. What is the closest to -2\/7 in -0.2, -5, n, 4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence oo when two letters picked without replacement from {o: 7, e: 4}.\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 409856\/5 + -164623\/2. Let j(v) = -40*v**2 + 9*v - 7. Let n be j(3). Let q = l - n. Is q at most as big as -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 4430 + -1695. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -3 + 5. Suppose 6*o - o - n = -20, 2*n = -10. Put o, -2, r, -3 in increasing order.\nAnswer: o, -3, -2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4 = -16*d + 28. Suppose -4*s + 118 = -d*m, 2*s - 3*m - 119 = -2*s. What are the prime factors of s?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*b = -5*j + b + 45, -j + 24 = -4*b. Let u(r) be the third derivative of r**4\/12 - r**3\/6 + 19*r**2. What is the units digit of u(j)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3500650 is divided by 254?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is -2.118 rounded to the nearest integer?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 9233, 9229, 9229, 9233?\n\"Answer: 2*t**2 - 10*t + 9241","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*q**2\/6 - 1259375*q\/6 + 16370185\/3.\nAnswer: 5*(q - 251849)*(q - 26)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t*t**(-5))\/(t\/t**(-32))*(t**(-43)\/t)\/(t**(-8\/7)\/t) assuming t is positive.\nAnswer: t**(-552\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Determine n so that n**4\/4 - 11*n**3\/4 + 8*n**2 - 7*n = 0.\nAnswer: 0, 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 100*a**2 + 0 + 0.\nAnswer: 100*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-2)\/(-4)*2*-6. Let d be ((-10)\/g - 1)*6. Let z(i) be the second derivative of i**4\/12 - i**3\/2 + i**2\/2 - i. Calculate z(d).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(d) be the second derivative of -d**7\/1260 - d**6\/270 - d**5\/180 + d**3\/6 - 4*d. Let h(i) be the second derivative of q(i). Solve h(j) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(w) = w**3 + 5*w**2 + 2*w - 7. Let j(x) = x**3 + 6*x**2 + 3*x - 7. Let c(s) = 3*j(s) - 2*l(s). What is c(-7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1110101001001001 (base 2) to base 6.\nAnswer: 1141401","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -232 and 0.2.\nAnswer: -46.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-3 - -2)\/(7\/(-14)). Suppose -5*o + h + 744 = -2865, 3*h = k*o - 1454. Suppose x - 2*j = -4*x + o, 0 = -x - j + 147. List the prime factors of x.\nAnswer: 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-36)\/10*55\/(-33). Suppose -5*p + 3*p = k. Which is the third smallest value?  (a) 0.2  (b) p  (c) 5\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be -2 - -4*2\/(-4). Suppose -2*a + i - 4 = 0, 34*a - 39*a - i = -4. Sort a, -45, -3, f.\nAnswer: -45, f, -3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -45*d**2 + 12*d**2 - 10*d**2 + 2*d**2 - 2*d**2 + d**2 + 3*d - 3*d + 5*d**2 + (-d + 1 - 1)*(-4*d + 4*d - d).\nAnswer: -36*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 50413 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -3\/4 in 2\/11, 4, -5?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: 184629 (base 11) to base 12\nAnswer: 118604","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*q - 58 = 3*t, -2*t - 203 + 101 = -3*q. Solve 45*l = q*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*q + 2 = -4*b + 22, -2*q - 4*b = 36. Let t be 7\/q + (-36)\/(-40). What is the fourth smallest value in 5, 4, t, 2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 76c2 - -36b5?\nAnswer: b0a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 188703 to the power of 1\/5, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 5596106?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(1512)*-4)\/(sqrt(6) - sqrt(24)\/(-4*sqrt(4))).\nAnswer: -96*sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 34 - 29. Calculate the highest common factor of w and 85.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(v) = -73*v**3 + 8*v**2 - 18*v - 3. Let u(b) = -55*b**3 + 5*b**2 - 14*b - 2. Give -7*d(t) + 9*u(t).\nAnswer: 16*t**3 - 11*t**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -15125*t + 2516 = -15051*t for t.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 1\/278 + 541\/4170. What is the second smallest value in 2, m, -0.5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-4)\/(-6))\/(-8 - 441\/(-54)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 76 and 228?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*d + 5*o = -53, -2*d + 9 = 3*o - 1. Suppose -16 = -d*c + 15*c. Let l = c - -8. What is the remainder when 6 is divided by l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: -10*(-7)\/70*1\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 18990325?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2*3\/(-3)*-2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u(z) = -2*z + 5. Let x be u(-5). Suppose -2*y = 5*f + 2*y - x, -3*y = -f + 3. Suppose f*q - q - 6 = 0. Solve -4 = -q*o + 8 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(k) be the second derivative of -k**4\/30 + 19*k**3\/15 + 216*k**2\/5 - 4729*k + 2. Factor i(t).\nAnswer: -2*(t - 27)*(t + 8)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(f) = 139*f - 2014. Calculate g(14).\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let l be -49*-3*2\/6. Is 14\/l + 73*(-53)\/(-7) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -197715716 and -0.04.\nAnswer: 7908628.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 645 and 40?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Divide 139 by -1.\nAnswer: -139","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*v - 258 = -78. Is v a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -43 less than -43?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is k in 3*k**3\/7 - 402*k**2\/7 + 339*k\/7 + 1140 = 0?\nAnswer: -4, 5, 133","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -i - 2 = -3*i. Calculate the least common multiple of i and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {q: 10, h: 2}. What is prob of sequence hhq?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:47 PM and 2:40 AM?\nAnswer: 353","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 1d - 12?\nAnswer: b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 0.18 + -0.18000144. Round i to seven decimal places.\nAnswer: -0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -733*y - 9261 = 8528*y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -2616 - -2622. Solve g = 3, -4*c + 0*c = 2*g + y for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(x) = -x**2 - 3*x + 2. Let f be j(-3). Suppose -3*t = -q - 2, -3*t + q = -q + f. What is the remainder when t is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.000076069116 to 6 dps.\nAnswer: -0.000076","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -7753*m**3 - 2343 + 7761*m**3 + 2*m - 2*m + 2343.\nAnswer: 8*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let c(h) = 2*h**2 + 19*h - 428. Calculate c(-20).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(187)\/(2*sqrt(33)\/sqrt(3) - sqrt(11)) + 1.\nAnswer: 1 + sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 f and 1 o when three letters picked without replacement from foofoffoooffo?\nAnswer: 105\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 98 - 93. Suppose -4*x = -a + 36804, -3*a - 14703 = r*x + 31285. Round x to the nearest ten thousand.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0 - 10*i**2 - 12 + 12.\nAnswer: -10*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 6749 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 s and 2 f when four letters picked without replacement from {f: 6, j: 2, s: 3, g: 8}.\nAnswer: 15\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 164696?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 20440540 or 20440538?\nAnswer: 20440540","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 5314630241 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 258593 or 28\/3?\nAnswer: 28\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 (base 8) in base 2?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sum 6879 and 315.\nAnswer: 7194","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 29748 = -6*h + 1218. What is the tens digit of h\/(-9) + -6 + 17\/3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0*q**3 + 487*q - 23*q + 221*q - q**3.\nAnswer: -q**3 + 685*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -31\/375666 and -82\/189.\nAnswer: 23666958","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 38417?\nAnswer: 41, 937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is one quarter of a century in years?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 363107 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let u(h) = 2*h**2 - 112*h - 467. Let z be u(60). Which is bigger: 57 or z?\nAnswer: 57","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -24*j - 35*j = 590 for j.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is -1b4 (base 16) in base 12?\nAnswer: -304","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose s + 31 = -2*c, 0*s - 4*s - 59 = 3*c. Let q be (5\/(-15))\/((-1)\/(-37)). Which is bigger: q or c?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(i) = 6*i + 32. Calculate h(6).\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*p - 3*p = 2*d - 7, -4*p + 17 = d. Let s(j) = 876*j + 6162. Let r be s(-7). Solve 12 + 99\/4*l**2 + 3\/4*l**4 - 15\/2*l**p - r*l = 0.\nAnswer: 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 7299 to the power of 1\/2, to the nearest integer?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 3786298223 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*i**2 + 1056*i + 2128 = 0. Calculate i.\nAnswer: -2, 266","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 5 - 466e97b?\nAnswer: -466e976","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -17 + 13 - (-12 - -2).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-320)\/200*60*25\/(-80).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-5 - 66\/(-12))*16. Solve -7*p = -h*p + 4 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 712317564 a multiple of 1458?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 130193501 to the power of 1\/2, to the nearest integer?\nAnswer: 11410","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 19 + (10\/(-25))\/(3\/30). What is the greatest common divisor of 25 and i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 403350860 and 10111860?\nAnswer: 3630157740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 117 - 81. Suppose 11 = 4*i + 4*l - 1, -4*i + q = -2*l. Calculate the remainder when i is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -2\/7  (b) -8\/11  (c) 13  (d) -1\/13  (e) 1\/4  (f) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-14)\/56 - (-10)\/72.\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(s) = s**2 + 11*s - 13. Let k be y(-11). Let z = k - -6. What are the prime factors of (-4 + -3 - -3)*z?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find h such that -11*h**2 - 10*h**2 + 15*h**3 - 15*h + 52*h**2 - 9 - 12*h**2 - 10*h**2 = 0.\nAnswer: -1, -3\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in 14\/9 of a day?\nAnswer: 2240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {s: 1, q: 4, j: 3, i: 6}. What is prob of picking 1 q and 3 i?\nAnswer: 80\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 292?\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: (690\/(-75))\/(((-8)\/14)\/(140\/98))\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 1563324 divided by 1?\nAnswer: 1563324","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.28 times 18.9?\nAnswer: -5.292","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let o(w) = -w**2 + 11*w + 2. Give o(0).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence amx when three letters picked without replacement from xmma.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let i(h) = 2*h**2 - 9*h + 67. Is i(18) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 8 + -21. Suppose -72 = -4*l + l. Let v = s + l. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(r) be the second derivative of 0 + 5\/6*r**3 - 4*r + 24*r**2. Let d be a(-11). Which is bigger: d or -36\/5?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0 + 3 + (6 - (-390)\/(-45))\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(k) = -16*k**3 - k**2 - 2*k - 3. Let l be g(-3). Suppose -3*i + 5*i = l. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose h - 3*p + 6 = -p, h = -4*p + 6. Let a(k) = k**3 + k**2. Let r = 89 - 84. Let m(d) = 3*d**3 + 3*d**2 - d - 1. Let w(q) = r*a(q) - 2*m(q). Give w(h).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (17\/204*-4)\/((-1)\/21*-1).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -23 - -27. Let d be -1 - (24 - u) - 4. Let a = 50 + d. What is the tens digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(c) = 10*c**2 + 8*c - 7. Let v be o(1). Suppose j = -3*i - v, 5*i = -0*i + j - 5. Is ((-1)\/12*-6)\/(i\/(-15244)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(o) = 4227*o**2 + 24*o - 314. Let h(a) = -2115*a**2 - 11*a + 156. Let j(r) = 5*h(r) + 2*u(r). Find the second derivative of j(f) wrt f.\nAnswer: -4242","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -1013 and 0.31.\nAnswer: -314.03","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Round -6.29 to zero dps.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 4*(2 + (-10)\/4). Let k = 8 + h. Let u = 9 - k. Solve 0 = -s + 4*s + u for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2732 in 0.07, -0.2, 3, 2\/11, -8?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 51\/2 of a litre?\nAnswer: 25500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -33, -67, -101, -135?\nAnswer: -169","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -5 - ((-17 - -24) + -3 + -1)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 299994.\nAnswer: 2, 3, 49999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Factor 17 + 12*i**2 - 231 - 1641*i - 197.\nAnswer: 3*(i - 137)*(4*i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from iiiiiiiii. Give prob of sequence iiii.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 234351*n**2*p - 309047*p wrt n?\nAnswer: 468702*n*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Put 15, -14, 4, 3, 5 in ascending order.\nAnswer: -14, 3, 4, 5, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 8\/28*(2 + 5). Let t be 2\/(-3) + 14\/3. Let k(s) = s**2 + 3*s + 4. Let z be k(-2). Solve -13 = -5*a + b - t*b, -q*a = 2*b - z for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(a) = -215*a**2 - 54396*a - 240. What is t(-253)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let s(j) = -j**3 + 12*j**2 + 7*j - 9. Let m be s(7). Suppose -780 = -3*h - m. Suppose 0 = 4*y - 4*f - 952, 5*f - h = -3*y + 525. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 58*g**4\/3 - 326*g**3\/3 + 188*g**2 - 200*g\/3 - 176\/3 = 0. What is g?\nAnswer: -11\/29, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/27 of a week in seconds?\nAnswer: 22400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 61\/214491 and 87\/159182.\nAnswer: 25309938","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let p(r) be the second derivative of 1\/6*r**3 + 0 + 2*r + r**2. Determine p(-5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-3128)\/(-529)*1 + 3*-2\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 2 + -20e0d31?\nAnswer: -20e0d2f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-2)\/(3 + (-77)\/22). Let i(t) = 9*t + 6. What is i(c)?\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify x\/(x\/x**(8\/3))*(x**(1\/6)\/x)\/x*x assuming x is positive.\nAnswer: x**(11\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let u(s) = -s + 1. Let w be (1\/(-5))\/((-99)\/(-1485)). Let y(x) = -8*x + 2*x + 0 + 4. Give w*u(p) + y(p).\nAnswer: -3*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 368831 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let i(b) = -1 - 4*b + b - b + 2*b**2. Let o be 3\/(1 - 0) + 0. Let k be i(o). Calculate the highest common divisor of k and 15.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 7 - 6. Let l be 4\/d*(18 - 0). Let o = l + -49. Does 11 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3*-6*sqrt(468)*-1*-2.\nAnswer: -216*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -3 - 213\/(-90) - ((-14)\/(-10))\/7.\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*p = 9*p - 38. Let y = 243 - p. What are the prime factors of y?\nAnswer: 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*o + 8, 2*o = 3*u + 3*o + 242. Let v = -52 - u. What is the highest common factor of 112 and v?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(v) = v**3 - 23*v**2 - 25*v + 30. Let j be i(24). What is the least common multiple of 50\/3 + (80\/15 - j) and 18?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 402 minutes after 12:21 PM?\nAnswer: 7:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {s: 2, z: 1, u: 2, m: 5, i: 2, y: 2}. What is prob of picking 2 s and 1 m?\nAnswer: 5\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Does 138 divide 3818046?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 43 - 11 = 8*d. Let s(b) = -b**2 + 2*b + 1. What is s(d)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*u + 122 = 2*i, 2*i = 3*u - u + 116. Calculate the least common multiple of 8 and i.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(k) = 3*k**3 - 3*k**2 - 5*k - 7. Let c(n) = n**3 - 8*n**2 - 4. Let u(x) = -x**3 + 10*x**2 - x + 4. Let v(r) = 4*c(r) + 3*u(r). What is 3*m(h) - 5*v(h)?\nAnswer: 4*h**3 + h**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*x + x - x)*(-13*x + 8*x - 2*x)*(2 - 1 + 0).\nAnswer: -28*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1578 = 130*l + 502 for l.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*m - n = 577, 4*m - n - 565 = 4*n. Suppose 2*u + 3*u - m = 0. Which is smaller: 30 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(f) = -4. Let m(c) = 3. Let s(k) = 5*m(k) + 4*q(k). Let y(a) = -2*a + 2. Determine 3*s(v) + y(v).\nAnswer: -2*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let x(u) = -23*u**4 - 5*u**3 + u + 5. Let i(k) = -11*k**4 - 2*k**3 + 2. Let m(b) = -15*i(b) + 6*x(b). Find the second derivative of m(o) wrt o.\nAnswer: 324*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(t) = -t. Let c(n) = -10*n**2 + 6*n. What is -c(a) - 6*m(a)?\nAnswer: 10*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (27*1*(190\/456)\/(-5))\/(115\/46).\nAnswer: -9\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w(d) = -d. Let m be w(-2). Suppose -17 = -m*b - 5. Let a = 22 - b. Does 5 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*i + 162 = -3. Let t be (0 + 4)*i\/12. What are the prime factors of (t - 5) + 2 + 0?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: 94 (base 12) to base 7\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 0.9 - 0.5. Let u = -10 - -9.2. Let r = h + u. Which is the second biggest value?  (a) r  (b) -2\/3  (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(a) = -6 + 1 + 0 - 4*a. What is the units digit of o(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be ((-11)\/(-11))\/((-2)\/(-6)). Suppose 273 = -4*s - z*b, -31 = -3*s - 3*b - 235. Let r = s + 144. Calculate the greatest common factor of r and 25.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 158 - 296. Let h = 78 + a. Let o = -26 - h. What is the remainder when o is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 116101?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 20283 - 20090.83. Let n = 2.83 + l. Let i = 194.999822 - n. Round i to five dps.\nAnswer: -0.00018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -59\/10901592 and 151\/430326.\nAnswer: 32704776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -8219 + 8219 - 2*m**2.\nAnswer: -2*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: -2 + 0 - (-5 - (-10 + 2))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 44876, 89866, 134970, 180182, 225496, 270906, 316406, 361990?\nAnswer: 407652","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -5 + -c0?\nAnswer: -c5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2\/5?  (a) -0.03  (b) -0.04  (c) -4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is -5 < 145\/56?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0000511294 rounded to five decimal places?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Round 1174208700 to the nearest 100000.\nAnswer: 1174200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 2749455 and 435.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let h(i) be the second derivative of -7*i**3\/3 + 17*i**2\/2 - 4*i. Let v be h(-9). Let m = v + -101. What is the tens digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 4\/7 in -1\/6, -1\/3, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Find y such that 196*y**5 + 10828132*y**4 + 71148520*y**3 + 38004528*y**2 + 5302944*y = 0.\nAnswer: -55239, -6, -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-1884)\/(-2512))\/(33\/2).\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(y) = -2*y**3 + 1045*y**2 + 512*y + 5750. What is b(523)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in b**2 - 182*b + 182*b.\nAnswer: b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Factor 14*h**3\/13 - 90*h**2\/13 + 162*h\/13 - 54\/13.\nAnswer: 2*(h - 3)**2*(7*h - 3)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 256.3 - 271. Let h = 15.37 + n. Round h to one decimal place.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 2151125 to the nearest integer?\nAnswer: 129","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -16638*w**2 - 16630*w**2 + 33266*w**2.\nAnswer: -2*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 575 a factor of 104275100?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let y(n) = 7*n**2 + 4*n + 9. Let v = 5562 + -5565. Let x(d) be the second derivative of d**4\/3 + d**3\/3 + 5*d**2\/2 - d. What is v*y(j) + 5*x(j)?\nAnswer: -j**2 - 2*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*x - 1 = 4. Let d(u) = -1. Let f(l) be the first derivative of -l**4\/2 + l**3\/3 - 7*l + 3. Determine x*f(k) + 6*d(k).\nAnswer: 2*k**3 - k**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let u(r) = 11*r**3 + r**2 + 10*r - 4. Let y(v) = 5*v**3 + 5*v - 2. Let a(q) = -4*u(q) + 9*y(q). What is a(3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 7*n**2*u*z + 2*n**2*u - 3*n**2*z**3 - n**2*z**2 + 147*u**3*z**3 + 11*u**3*z**2 wrt z?\nAnswer: -18*n**2 + 882*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 71\/726 and -49\/137042422.\nAnswer: 411127266","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Does 47 divide 114004785?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 20 + -18. Differentiate 1 - r - 4 + 7 - 3*g wrt g.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -4 + -501224?\nAnswer: -501232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-2 - (-3)\/1)\/1. Suppose y + 4 = 5*f. Let v be 0\/(5 + 2 + -6). Solve -m - f = -v for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) 1  (b) -20\/9  (c) 1\/2  (d) 2  (e) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Express (-8*a**3 + 10*a**3 + 0 + 2)*((5*a - 5*a + 2*a)*(-1 + 4 - 2) + (5*a - 5*a + 5*a)*(2 + 3 + 1)) as w + m*a + i*a**2 + r*a**4 + g*a**3 and give m.\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, -21, 2\/9 in descending order.\nAnswer: 3, 2\/9, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let v(g) = -g**3 + 8*g**2 - 8*g - 30. Let p be v(6). What is the fourth smallest value in p, 0, 5, -0.082?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 855\/(-1140)*(-1)\/1*28*6\/(-2).\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {m: 6, e: 13}. What is prob of picking 1 e and 1 m?\nAnswer: 26\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -1226 + 15*b + 1226 + 8*b to h + q*b and give q.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 69\/40 + -9\/8. Let m = -63 + 58.7. Let v = -0.7 + m. What is the closest to 0.1 in 3, v, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 246 and 76506?\nAnswer: 246","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 190?  (a) 35  (b) 3  (c) -3  (d) -5  (e) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, -7614, -14, -3, -5, 18, 3 in ascending order.\nAnswer: -7614, -14, -5, -4, -3, 3, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -384 + 388. Let u(v) be the first derivative of 2 + 0*v**2 + 6\/5*v**5 + 0*v**m + 0*v - 7\/3*v**3. What is the third derivative of u(k) wrt k?\nAnswer: 144*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(n) = 2*n**2 + n - 2. Let c be m(1). Let a be ((-1)\/3)\/(3\/(-36)). Let u(s) = -s + 6. Let l be u(a). What is the biggest value in l, -1\/4, c?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -27 - -52. Suppose -40*r - g = -45*r. Solve r*k = -5 + 15 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1222221323 (base 5) in base 6?\nAnswer: 142442524","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -19 or 0.16?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*t - 2*t - 18 = 3*x, t = 0. Let p be x*(-8)\/6*-1. Let w be 2\/(-4) + (-4)\/p. Solve w = 4*l + 12 - 0 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -2570781, -2570769, -2570755, -2570739, -2570721?\n\"Answer: t**2 + 9*t - 2570791","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 723861.6 centimeters in nanometers?\nAnswer: 7238616000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k(b) be the third derivative of -11*b**5\/60 - 3*b**2 - 39*b. Let f(q) = 2*q**2. Give k(f(a)).\nAnswer: -44*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (70*s + 8940 - 8940)*(3 - 4 - 1)*(-1 + 3 + 4) to the form z + p*s and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 h when two letters picked without replacement from hhhmhmmmmhmmhh?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -200364*d + 200275*d + 4895 for d.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 246 and 2829.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*b - 4*v - 415 = 357, 1345 = 5*b + 5*v. Does 4 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 910758141 to the power of 1\/4, to the nearest integer?\nAnswer: 174","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -530 + 1101. What is the units digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5558 - 747 = -17*f. Let y = -284 - f. Which is the second smallest value?  (a) y  (b) 0.4  (c) -18\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of (-4)\/(-6) - 188\/(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -3754483 + 19291089. Let p = 3015678 - 9279072. Let l = p - u. Round l to the nearest 1000000.\nAnswer: -22000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1 + (-1 + (((sqrt(1700) - 4*sqrt(1700)) + 3)**2 - (-1*sqrt(1700) + -4))*6)*2.\nAnswer: -2040*sqrt(17) + 183753","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*l = 2*l. Let j = 860 - 864. Put l, j, 14 in ascending order.\nAnswer: j, l, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(b) = 20 - 2*b + 29 - 17. Let n be d(8). Suppose -23 - n = -p. What is the tens digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from zirzrziozorzzvr. What is prob of picking 1 i and 1 v?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let v(i) = -i**3 - 5*i**2 + 33*i - 21. Let q be v(-9). Solve 4*f - 6 = -5*x + q*x, -6 = f - 4*x for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0*l**3 - 17*l**3 - 22*l**3.\nAnswer: -39*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*v = 5*d - 3*d + 10, d = -5 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -827 + 828. Which is smaller: l or 9\/76?\nAnswer: 9\/76","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*p - 4*p - 4*z = 36, 3*z - 1 = 4*p. Let y = 81.8 - 1.8. Let q = -80.3 + y. Put -2\/3, q, p in descending order.\nAnswer: q, -2\/3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -137*h**3 + 40519940*h**2 + 24*h - 40519940*h**2.\nAnswer: -137*h**3 + 24*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((j\/((j**(-7)\/j)\/j))\/j)\/(j*j\/j**(1\/5)*j))**(22\/7) assuming j is positive.\nAnswer: j**(682\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x**(-16)*x*x**(-1\/18))\/(x**(16\/3)\/(x**(-5)*x*x*x)) assuming x is positive.\nAnswer: x**(-403\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -4*j - 2*s - 54, 3*j - 8363545*s = -8363555*s - 83 for j.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -10 + 13. Suppose -j*i + 4*b - 5 = 0, -i - 3*b = -0*i - 7. What is the units digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -110323213231 - -10?\nAnswer: -110323213221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let d(i) = 4*i + 1. Let s(n) = -6*n - 2. Let o(g) = -18*g - 6. Let p(u) = 4*o(u) - 14*s(u). Let k(v) = 14*d(v) - 5*p(v). Differentiate k(h) wrt h.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-18)\/(-6) + (-14135)\/143 + 10. Are -86 and o nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 6 and 26862.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: 4\/(-14) - ((-148)\/4 - (-31868)\/1799)\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q*q**(11\/2)*q)**(2\/97) assuming q is positive.\nAnswer: q**(15\/97)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 124, 1.4, -0.1?\nAnswer: 124","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -353*k + 1930*k + 1590*k + 239521 = -108849 for k.\nAnswer: -110","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6 = 4*k - 22. Let m be (-2)\/k*(8 + -2). Let f(w) = w**3 + 3*w**2 - 4*w - 1. What is the tens digit of f(m)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -27*k + 1232 = -16*k. Let f be 17 + (-2)\/(-2) + -2. What is the highest common divisor of k and f?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 24332230 - -10?\nAnswer: 24332240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let m(p) = -5*p - 1. Suppose 2*g + 10 = 4*g. Suppose -g*z - 5 = 5. Determine m(z).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(u) = -u**3 + 3*u**2 + 96. Give a(0).\nAnswer: 96","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let c(f) = 8*f - 5. Let d(s) = -7*s + 4. Let n = -30 - -36. Calculate n*d(w) + 5*c(w).\nAnswer: -2*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange p - 27*p**2 + 0*p + 15*p**2 to the form l*p**2 + w + y*p and give l.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 u and 2 d when three letters picked without replacement from {d: 5, u: 7}.\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:01 AM and 2:51 PM?\nAnswer: 590","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"}
{"text":"Question: Sort -45\/256, 2\/13, 0.4, 0, -6\/5.\nAnswer: -6\/5, -45\/256, 0, 2\/13, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let w(c) = 6*c. Let g(p) = 11*p**2 - 17*p. Let d(o) = -4*o**2 + 6*o. Let u(t) = 17*d(t) + 6*g(t). Give u(w(y)).\nAnswer: -72*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let v(d) be the third derivative of -d**4\/8 + d**3 + 15*d**2 - d. Let x(k) = 2*k - 5. Determine -4*v(t) - 5*x(t).\nAnswer: 2*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let j(w) = w**3 + 6*w**2 + 3*w - 2. Let k = -13 - -8. Let a be j(k). Solve a - 23 = -3*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 264034893 and 21.\nAnswer: 1848244251","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((k**(2\/7))**26\/((k\/(k\/(k*k**(-1\/2)*k)))\/k**6))**0 assuming k is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 0.093 + 59.907. Let y = -59.73 + m. Which is smaller: 1 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 89*c**3 - 163*c**3 + c**2 - 2 + 0 + 78*c**3 - 2*c**4 as h*c + k*c**3 + w*c**4 + r + f*c**2 and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*i + 5*d = 90, -3*i + 60 = -i - 4*d. Suppose -2*o = -2*v - i, -2*o - 2*o + 59 = -v. What are the prime factors of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*i**4 + 6948*i**3 + 2999668*i**2 - 15270372*i - 42483896 = 0.\nAnswer: -871, -2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -182 + 224. What is the greatest common factor of 14 and y?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 405740580 to the power of 1\/3, to the nearest integer?\nAnswer: 740","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -510 + 514. Solve 4*s + 12 = c*f - 2*f, 3*f = -2*s + 10 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 23387951.\nAnswer: 23387951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 1602 and 2492?\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1319354?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -a = -5*w - 23, 5*a + 2*w = 6*w + 31. What is the least common multiple of a and 1?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-918)\/(-152) - 9\/(4104\/(-96))\nAnswer: 25\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(r) = -13*r**2 - 3 - 2 + r**3 + 3*r**2 - 419*r + 418*r. Determine c(10).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be -1 + 2 + 1 + -2. Suppose -10 = -2*o - 0*o. Suppose 4*u - 32 = -4*f - 0*f, -5*f = -o*u. Sort c, -4, f.\nAnswer: -4, c, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 202004334 (base 6) in base 10?\nAnswer: 3453538","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put 4, -2, 7, -1, -33 in decreasing order.\nAnswer: 7, 4, -1, -2, -33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Sum 0.0808 and -65.\nAnswer: -64.9192","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-120*k - 35*k**2 + 120*k)*(-1 + 2 + 0)*(0 + 0 - 1) to the form j*k**2 + q*k + b and give j.\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: 10222221102 (base 3) to base 6\nAnswer: 1404145","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*k**4 + 105448*k**3 - 1853178300*k**2 + 10855300685000*k + 10857153968750.\nAnswer: -2*(k - 17575)**3*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -241004431 + 314?\nAnswer: -241004112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1512 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Put 2\/11, -6, -3, 1\/150, 2 in ascending order.\nAnswer: -6, -3, 1\/150, 2\/11, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -59 + 50. Let r = 15 + q. Let a(t) = -t**2 + t. Let u(m) = 5*m**2 - 4*m - 2. Determine r*a(f) + u(f).\nAnswer: -f**2 + 2*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in twenty-one halves of a century?\nAnswer: 1050","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o(x) be the third derivative of -2\/27*x**5 + 64\/27*x**3 + 1\/180*x**6 + 109*x**2 + 0*x + 1\/945*x**7 + 0 - 4\/9*x**4. Factor o(m).\nAnswer: 2*(m - 4)*(m - 1)*(m + 4)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 261328019 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 9066715, 9066742, 9066769, 9066796, 9066823?\n\"Answer: 27*h + 9066688","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.3?  (a) -1  (b) -0.5  (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -44*u + 88*u = 37*u - 98 for u.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Sum -65224 and 2434218645.\nAnswer: 2434153421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let n(q) = 4*q**2 + 2*q. Let u(d) = -13*d**2 - 6*d - 1. Let l(h) = -h**2 + 4*h - 4. Let j = -9 - -15. Let v be l(j). Let o = v - -9. Determine o*n(x) - 2*u(x).\nAnswer: -2*x**2 - 2*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:34 AM and 2:58 PM?\nAnswer: 204","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of (-269)\/(-40) + 6\/(-10) and -13\/33.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 201521128 by 5.\nAnswer: 201521128\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -15*p - 4*z = 55, 0 = 659*p - 654*p + 6*z + 65 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let g(m) = -590*m - 54200. What is g(-93)?\nAnswer: 670","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let g(i) = -6*i**2 + 3 - 2 - 2*i - 1. Let s(f) = -f**2 + f. Let t(m) = -g(m) - 2*s(m). Let o(h) be the third derivative of -h**5\/60 + 15*h**2. Give t(o(c)).\nAnswer: 8*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 3\/(-15539)*1003290766\/7854. Let w = x + -2\/264163. Let t = 151\/7 + w. What is the common denominator of 67\/6 and t?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -0.385 + -0.015. Which is the closest to -6?  (a) -1  (b) -2  (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 7\/9*z**5 - 56\/9*z**3 + 256\/9 - 128\/9*z**2 + 112\/9*z + 16\/9*z**4 = 0. Calculate z.\nAnswer: -16\/7, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*q - 109 + 37 = -3*p, 5*q - 5 = 0. Calculate the highest common divisor of 253 and p.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -5 by -1168.\nAnswer: 5\/1168","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 276936 and -25035?\nAnswer: 301971","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -19 = 11*b - 30 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*h - 12*h = -75. Which is the biggest value?  (a) -4  (b) -5  (c) -3  (d) h\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 39 is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: 2\/8 + 506\/(-1320)\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -5135, -10269, -15373, -20429, -25419, -30325?\nAnswer: -35129","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 0.0077 - 256.0077. Let u = 256 + x. Are 1\/69 and u non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*j - 3 + 3 + 4*j - 5*j + 3*j + 1 - j - 1 - 2*j + j + 2*j + (2 + 1 - 1)*(-j + 0*j - j) + 2 - 2 - j)*(j + 4 - 4).\nAnswer: -6*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: ((-30)\/(-8))\/(2015\/1612)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 5.6 - 6. Let g = -0.15 - 0.15. Which is the second smallest value?  (a) 0.2  (b) g  (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(l) = -l**2 - 22*l - 11. Let o be n(-19). Is 45 <= o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 z and 1 t when two letters picked without replacement from {d: 2, z: 2, t: 1, o: 1, w: 1}.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let w(z) = -2*z - 6. Suppose 0 = -2*f - 5*l + 8 + 13, 2*f - 3 = l. Suppose -4*y - 14 = -2*r + 12, -f*y = 4*r - 8. Give w(y).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of (8\/(-28))\/(6800\/(-9380)) and 7\/153?\nAnswer: 1530","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"}
{"text":"Question: Round -44618.1 to the nearest 10000.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 384 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) 0  (b) -1\/2  (c) 0.16  (d) 0.1  (e) -20\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.36?  (a) 0.14  (b) 1\/77  (c) -2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let d(u) = -u**3 - 7*u**2 - u. Let r be 285\/(-40) - 1\/(-8). Calculate d(r).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (2 - 6)*(-5)\/4. Suppose -68 = -40*o + 6*o. Solve -2*u = t*q - 22, -o*u + 0*q - q = -6 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 0.04  (b) -7  (c) -4\/7  (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -346 + 346 + 5*g**3.\nAnswer: 5*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is -789.94 rounded to the nearest 100?\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence hqk when three letters picked without replacement from kqqqkkqhqqqqhkqqqh.\nAnswer: 11\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 1061525 to the power of 1\/3, to the nearest integer?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) -7  (b) -25\/7  (c) 32\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1 - -2921.74198.\nAnswer: 2922.74198","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 59480499 is divided by 4248607?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Find q, given that -q**3\/4 - 137*q**2\/4 + q\/4 + 137\/4 = 0.\nAnswer: -137, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*s + 3*b - 34 = 0, -139*s - 4*b = -142*s - 36 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 5*n**3 - 42072*n**2 + 10829767*n wrt n.\nAnswer: 30*n - 84144","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from rytttbyrty. Give prob of sequence rbt.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 6765299*p**2 + 4677902*p?\nAnswer: 13530598","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let r(d) = -d + 14. What is r(6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*o - q = 30, -5*o - 11 = -4*q + 64. Let m(b) = -2*b**2 + 12*b - 26. Let x be m(6). Let f = o - x. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 735843 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let g(f) = -6*f + 13. Suppose -5*j - 8 = -53. Suppose -j*v = -7*v + 10. Let a(m) = -4*m + 9. Let c = 14 - 7. Calculate c*a(p) + v*g(p).\nAnswer: 2*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let f(m) = 5*m**2 + 8 + m**3 - 4*m + m - 2*m. Let a = -57 + 51. What is f(a)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-24)\/13)\/((-76)\/(-494))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w(s) = 4*s + 2. Let x be w(0). Solve x*l - 8*p + 3*p = 6, -3*l + 4*p + 9 = 0 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(y) = y**2 - 9*y + 6. Let o be n(8). Let p(q) = q**3 + 2*q**2 + 2*q + 5. Let z be p(o). Solve -2*s = 4*l - s + 13, -z = s for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -6421\/32055 + 2\/6411. Put g, -2, 2.3, 49 in decreasing order.\nAnswer: 49, 2.3, g, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 3 + 240013301004?\nAnswer: 240013301012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 52 a factor of 1944?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 4.51 rounded to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1\/2?  (a) -7.4  (b) -1  (c) -3\/4  (d) 3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -115\/4460292 and -107\/1296.\nAnswer: 53523504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 1283 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from muummumm. What is prob of sequence mu?\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 1  (b) -0.4  (c) 5  (d) -6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Round 149.3 to the nearest integer.\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let v(i) be the first derivative of -2*i**3\/3 - 2. Let o(f) be the second derivative of 0*f**2 + 0 + 1\/6*f**3 - 16*f. What is o(v(d))?\nAnswer: -2*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is -1101110100101101010 (base 2) in base 16?\nAnswer: -6e96a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 27.34 - -0.66. Let r = 27.6 - t. Suppose 0 = -b - 5, -3*j + 5*b = -9 - 16. Sort -3, r, j in increasing order.\nAnswer: -3, r, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -203 plus 0.4?\nAnswer: -202.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10 = -5*g - 2*p, -4 = 3*g + 3*p - 19. What is the remainder when 12 is divided by -3 + 7 + g\/1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 16 - 0 - 3\/(-3). Suppose k*w + 90 = 12*w. What is the common denominator of 33\/20 and -1 - -2 - (-109)\/w?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3955 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 422\/711 - 3\/79. Is d at least as big as 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 959192?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let z(n) = -n. Let o be z(-6). Suppose 0 = 4*f + 3*b + 23 + 1, -5*f - 3*b - 27 = 0. Let c = f + o. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(o) = 6*o**2 - 28*o + 920. Calculate the remainder when c(26) is divided by 1415.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(g) = -5*g - 23. Let y be v(-5). Let r(w) = 192*w**2 - 4*w - 27 - 94*w**2 - 97*w**y. Let j be r(8). Solve -7 = -f + 4*p, 4*f - j*p - 6 = -0*p for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 2041646 (base 7) to base 9\nAnswer: 413768","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 26558 is divided by 116?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 2.6  (b) 1  (c) -0.4  (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1?  (a) -3\/20  (b) 0.09  (c) -5\/6  (d) 2\/67\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"}
{"text":"Question: Let x = -16\/15 + 2\/3. Let d = -0.02 - 0.08. Is d > x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.29, -0.4, -2\/3, -0.046 in descending order.\nAnswer: -0.046, -0.29, -0.4, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 194708 divided by -1072?\nAnswer: -48677\/268","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (9\/6)\/(63\/216*4).\nAnswer: 9\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 70 a factor of 79824674?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 303, 501, 699?\nAnswer: 897","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v(t) = 46*t**3 - 9*t**2 + 234. Let y(q) = 11*q**3 - 2*q**2 + 59. Let h(j) = -2*v(j) + 9*y(j). What is the derivative of h(u) wrt u?\nAnswer: 21*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose u = 3*q + 8, 5*u + q - 29 = 5*q. Solve -3*l + u*f = 32, 3*l = 2*f - 5*f for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 55 = 16*y - 297. Let k = -264 - -271. What is the remainder when y is divided by k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 6*(1*(sqrt(2448) + 5 + 1 + sqrt(2448) + sqrt(2448) - 3*(sqrt(2448) + 1) - (-1 + sqrt(2448) + 4 + 1*(sqrt(2448) - (sqrt(2448) + 0)))))**2.\nAnswer: 14688","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose m - 6*m = 30. Let a(g) = g + 1. Let s be a(m). Let q be 3 + 292\/(-120) - 2\/5. Sort -3, s, q in descending order.\nAnswer: q, -3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*w + 73 = 5*z, -2*w - 3*z + 43 = -24. What is the lowest common multiple of w and (-8)\/6*1*-3?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 28\/1731 and -169\/17310.\nAnswer: 17310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0519582 to three dps.\nAnswer: 0.052","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -12 - n - 17*n**2 + 5*n**2 + 3*n**2 + 5*n**2 wrt n.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 141918*u + 42 = 141897*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -1 + 100313?\nAnswer: 100312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((s\/s**8)\/s)\/((s*(s*s\/((s\/((s\/(s\/(s\/s**(-1\/9)*s*s)))\/s))\/s))\/s)\/s)*(s*s**(1\/9)*s)\/s**(7\/4) assuming s is positive.\nAnswer: s**(-43\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let u(z) = -87*z**3 - 866*z**2 + 32*z - 52. Determine u(-10).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*h**5 - 1860*h**4 + 365038*h**3 + 32236908*h**2 + 124127496*h + 92257488 = 0.\nAnswer: -62, -3, -1, 498","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1 + -4*sqrt(3) + -2.\nAnswer: -4*sqrt(3) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 16 and 482?\nAnswer: 3856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let c(z) = -9*z**2 - 7*z. Let q(o) = -5*o**2 - 4*o. Let m(p) = -3*p**3 + p**2 + p - 2. Let i be m(1). Determine i*c(u) + 5*q(u).\nAnswer: 2*u**2 + u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let g(t) be the second derivative of t**4\/12 - 10*t**3\/3 - 23*t**2 + 54*t. Let l be g(22). Sort l, 1, 5 in ascending order.\nAnswer: l, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(t) = t**3 + t**2 + t + 9. Let a be l(0). Suppose a = p - 1. What is the units digit of p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-12 + -4 - -12) + (-2 - -2) + 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 42166237051 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is (-1876)\/402*(-18)\/(-21)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*k + 4 - 8 = 0. Suppose 2*r - m = 11, -k*r + 2*m - 3 = -19. Let y = 7 - r. Solve f - y = 0, 4*f = 5*x + f + 2 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.6038757 milligrams to nanograms.\nAnswer: 603875.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-30)\/(-135))\/(1\/18).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r(g) be the third derivative of -g**5\/20 - g**4\/4 - g**3\/2 + 8*g**2. Factor r(x).\nAnswer: -3*(x + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(u) = -u. Let q = 8 + -8. Let r be z(q). Suppose -3 = -a - r. Solve 3*t - 6 = 0, a*d + t - 14 = -0*t for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 454, 273, 92, -89?\nAnswer: -270","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 26 and 1624012.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*b - 86 = 2*h, -2*b + 5*b - 67 = h. Suppose 2*a = 0, 5*u = 3*u - a + b. Is u\/(-78) - (14965\/13)\/(-1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1069093 a multiple of 406?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*u + 51 = 4*m - u, m + u = 6. Let y(d) = d**3 - 9*d**2 + 10*d - 11. Is y(m) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:37 AM and 9:19 AM?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -73667 + -54?\nAnswer: -73732","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 63401976 divided by -12188.\nAnswer: -5202","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let i(m) = 4*m**3 + m**2 - 1. Let z be i(1). Let d(o) = 2*o**2 - o - 5. Let y be d(3). Let j be (120\/(-150))\/((-2)\/y) + 1. Solve -j*q - 6 = z for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 779 is divided by 748.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let a(c) = -8*c - 52. Let q be a(-6). Let o(s) = -7*s + 21. Is o(q) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -78, -236, -474, -792?\nAnswer: -1190","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 72, 146, 220, 294?\n\"Answer: 74*g - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: -5*3\/(15\/2)*4\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4 + (sqrt(77)*-2*6)\/(sqrt(42)\/(-2*sqrt(6))).\nAnswer: -4 + 24*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*d**3\/4 + 42*d**2 + 171*d\/4.\nAnswer: -3*d*(d - 57)*(d + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2080.\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Work out -70277604 + 13.11.\nAnswer: -70277590.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: -5672 divided by -5672\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 7 - (-10 + 3) - (12 - 1 - -3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1 + 11 = -u - 16*f + 11*f, -u - 6 = 2*f for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.5, 3\/5, -2\/9, -4 in increasing order.\nAnswer: -4, -0.5, -2\/9, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 352, -3251, -6854, -10457, -14060?\n\"Answer: -3603*z + 3955","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((h**(-6)\/h)**(-2\/125))**(-32) assuming h is positive.\nAnswer: h**(-448\/125)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence lqj when three letters picked without replacement from {q: 6, j: 1, l: 7}?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.15976833 times 4?\nAnswer: 0.63907332","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 9990.249ml in litres?\nAnswer: 9.990249","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Does 88217 = 88217?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-2)\/42)\/(((-40)\/(-14))\/10).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor -g**5\/4 - 13*g**4\/2 + 27*g**3\/4.\nAnswer: -g**3*(g - 1)*(g + 27)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 273*o + 4166 = -10576 for o.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1861646405.\nAnswer: 5, 372329281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let k(d) be the second derivative of -d**7\/840 + d**6\/60 + d**5\/60 - 3*d**4\/8 + 13*d**3\/6 + 8*d. Let r(i) be the second derivative of k(i). Give r(6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 56\/5 and 9\/308.\nAnswer: 1540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -31 - -54. Suppose -3*t + j = -7*t + n, -4*t + 26 = -2*j. Let v(s) = -s + 2. Determine v(t).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 32 + -20. Let u = -12 + s. Solve 3 = -b - u for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -26 + 28. Suppose -z*q = -0*q. Suppose -2*t - 2*i + 1932 = q, 2*i + 2892 = 3*t - i. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2628288396427 + -1.8?\nAnswer: -2628288396428.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 5 - (1 + 1) - (26 + -23)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (6*q + 8*q - 6*q)*(-3 - 1 + 3) - 2*q + 3 - 3 + 2*q - 3*q + 2*q + (-q + 0*q + 0*q)*(0 - 2 + 3) + 3*q + 0*q - 4*q - 1 - 2*q + 1 - 2*q + 4*q + 5*q.\nAnswer: -6*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let k(s) = -3*s**2 + 4*s - 2. Let p(v) = -v**2 - v + 1. Let z(y) = y**3 + 5*y**2 - 4*y + 6. Let m(i) = -4*p(i) + z(i). Let l be m(-9). Calculate k(l).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -2025 (base 7) to base 6.\nAnswer: -3133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.4, -2, -0.33357, 5 in decreasing order.\nAnswer: 5, 0.4, -0.33357, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Convert 28407796.2 nanoseconds to weeks.\nAnswer: 0.0000000469705625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1194789894?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*t = -t - 6. Let q(j) = -3 - 9*j**2 - j**3 - j**t + 10 + 16*j. Is q(-12) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 423606296 to the power of 1\/2, to the nearest integer?\nAnswer: 20582","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let f(j) = 14*j**2. Let t(q) be the third derivative of 11*q**4\/24 + 621*q**2. Determine f(t(b)).\nAnswer: 1694*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.000001903493 rounded to seven decimal places?\nAnswer: -0.0000019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Convert -2 (base 11) to base 3.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d(x) = x - 3. Let v(k) = -14*k - 4*k - 12*k + 35*k. Calculate d(v(q)).\nAnswer: 5*q - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 21908, 23123, 24340, 25559?\n\"Answer: n**2 + 1212*n + 20695","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5 + ((0 + (sqrt(192) - (-2 + sqrt(192))) + -5*-1*sqrt(192))*-5)**2.\nAnswer: 4000*sqrt(3) + 120095","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:02 PM and 10:44 PM?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2*(sqrt(1216) - sqrt(1216)*-2)*2 + ((sqrt(1216) - 2*sqrt(1216))*-3 + 5 + (sqrt(1216)*2 - sqrt(1216)))**2.\nAnswer: 224*sqrt(19) + 19481","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 r when two letters picked without replacement from rurruuzzr?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let t be ((-25)\/15)\/(35\/(-42)). Suppose 0 = -2*y + t, -5*w + 1759 = -y - 220. What is the units digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -31 - -63. Let r = i - 20. Let d(z) = 3*z**2 + 3*z + 4. What is the remainder when d(-3) is divided by r?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 3*r + 3, -12*r + 130 - 9 = -21*d - 7*r for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 729188 and 4104.\nAnswer: 748146888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -66*p + 61*p = 8*q - 12*q + 83, 22 = -2*p - 4*q for p.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from zqqozqqqwqwovowzqqo. Give prob of sequence zqqq.\nAnswer: 7\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let d(y) = -y**3 + 2*y**2 - 11*y + 35. Let a be -2*((-10)\/(-15) - (-16)\/3). Is d(a) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 131*d + 258*d + 6656 = 645*d for d.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 77 - 54. Let r = p + -24. Is r greater than 12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 55\/3 of a decade?\nAnswer: 2200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 7093192.\nAnswer: 2, 317, 2797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 21 - 12 = 3*g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0006840535405 rounded to six dps?\nAnswer: 0.000684","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -0.2, 0.51, -16, 618, -0.5, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((r*r*r**(-5)*r\/(r\/((r*r**(2\/3)*r)\/r))*r)**(-9))**(7\/3))**(-9) assuming r is positive.\nAnswer: r**(-63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 259597 is divided by 200?\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -109584, -2\/7, -45, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 9, 15, 21, 27, 33?\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5*(0 + (sqrt(18)\/sqrt(6))**2 - (5 + sqrt(3) + 1)**2).\nAnswer: -180 - 60*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*b + v = 7*b - 5, 0 = 5*b + 5*v + 25 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (4 - 6)*-9 + -3. Suppose -4*i - 16 = -104. Let c = d + i. What are the prime factors of c?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 645620, 1291242, 1936864, 2582486?\nAnswer: 3228108","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 58\/116*2\/4.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12 = 14*n - 10*n. Sort 2, n, 4, 0 in increasing order.\nAnswer: n, 0, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g**(-5)\/g**(-12))\/((g*(g\/g**(1\/3))\/g)\/(g*g**(-1\/8))) assuming g is positive.\nAnswer: g**(173\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 745471568?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 250 + -246. Suppose -3*z + 30 = -h, v*z + h - 15 = 18. Let a(l) = -l**3 + 7*l**2 + 14*l - 8. Calculate a(z).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(z) = 8*z**2 + 2*z + 39. Let t be q(-10). Suppose 3*o = 3, 7*r = 2*r - 4*o + t. Is 23 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9 = -2*r + 89. Is 10 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 1.984 and 3.\nAnswer: 5.952","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let i(q) = -13*q + 1 + 9 + 17*q. Let u be i(-5). Sort u, 1, 4, -5 in decreasing order.\nAnswer: 4, 1, -5, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*f**2\/5 + 3772*f\/5 + 5320.\nAnswer: -4*(f - 950)*(f + 7)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 204164163 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 4*a - 16*a - 36 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Round 18.99069464 to zero dps.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 97886 and 18224?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3\/8, -2, 1\/8 in decreasing order.\nAnswer: 1\/8, -3\/8, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 39\/7640 and 73\/220.\nAnswer: 84040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 337298983 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 15599 - 15598.999986688. What is b rounded to 7 decimal places?\nAnswer: 0.0000133","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 7 - -24. Let b = j - 34. Which is smaller: 1 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 10 + 6. Let x = b - 12. Suppose -447 = u - x*u. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -36*-0.9.\nAnswer: 32.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -220 - -266. Solve 14 = -10*d - z for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(b) be the second derivative of 23\/20*b**5 + 0*b**4 - b**3 + 30*b + 0*b**2 + 0. Find the second derivative of n(j) wrt j.\nAnswer: 138*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose a - 8 = -3*a. Let u be ((-2)\/16)\/((-15)\/(-30)). What is the closest to 0.3 in -0.4, a, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -21 + 5355552?\nAnswer: 5355531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let n(l) be the second derivative of 7\/20*l**5 + 0*l**3 + 2\/3*l**4 + 0*l**2 + 0 + 11*l. Find the third derivative of n(d) wrt d.\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*z - 38 + 18. Suppose h - z*h + 48 = 0. What is the remainder when 61 is divided by h?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, -3, -14, -5, 13, -7095, 0 in increasing order.\nAnswer: -7095, -14, -5, -3, -1, 0, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 3397 - 2003. Is q a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*o + 438 = 4. What is the remainder when o is divided by 73?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 0 - -65?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let f be ((-3)\/(-1))\/(-6)*-12. Suppose 0 = -2*k - k + f. What is the second derivative of 0*b**3 - k*b**3 + b + b**3 wrt b?\nAnswer: -6*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-1215)\/33 - 4\/22. Let r = -14 - k. Suppose -7 = 4*m - r. What is the units digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-2)\/14 - (-54992)\/98. Let n = 138 + -213. What is the tens digit of (-10*5\/n)\/(2\/i)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (3 - 2)*5 - 0. Suppose -15 = 5*n + 5*y, 0 = a*y - y + 8. Let g(k) = -55*k - 1. What is the remainder when g(n) is divided by 20?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -8838, -17662, -26486?\nAnswer: -35310","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (4 + -7)\/((-1)\/971). Suppose -3*t = -2*q - 2498, -4*t + 406 + z = -5*q. Suppose 4*f - 1084 - t = 0. What is f rounded to the nearest 100?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -1, 68, 261, 638, 1259?\n\"Answer: 10*t**3 + 2*t**2 - 7*t - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r(o) = 22*o - 29. Let u be r(18). Suppose 0*j - u = -j. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be -22263 + 5\/((-10)\/(-12)). Let t = -200119\/9 - g. Is t at least 22?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 48 divide 12052990?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 5 a factor of 3086?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 745862632?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*q = 0, -3*q + 0*q - 2 = -p. Let k be (1 + p + -11)*-1. Solve u - 5*u + k = 0 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 25 is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 7 - (1 - (15 - 22)) - -6?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h(v) = -v**3 - 52*v**2 - 11*v + 4502. Give h(-50).\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Express 6*x**3 + 0*x**2 + 2*x**2 - 2*x**3 - 6*x**3 as o*x**2 + y + v*x + j*x**3 and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {u: 2, l: 2, e: 8, i: 3}. What is prob of picking 2 u and 2 i?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let c(t) = -t**3 - 7*t**2 - 8*t - 8. Let k be c(-6). Let z be 11\/2 - k\/8. Suppose 41 = -y + 5*f + 31, -f = -2. Solve y*q = q + z for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-49)\/(7203\/(-189)))\/(3\/161).\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -1 and -2700843?\nAnswer: 2700843","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*z - 60*z = 195 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let q(k) = -1 + 5 + 2*k**2 - k - 3*k**2. Let f be q(-3). What is the units digit of -2 + 0 - f*2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 114 + 32*h**3 + 34*h**3 + 36*h**3 - 103*h**3.\nAnswer: -h**3 + 114","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (56\/(-20))\/((-3)\/(-15)). Let k = 9 + u. Sort -1\/5, -2\/7, k.\nAnswer: k, -2\/7, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 66668 - 72*d**2 + 14*d**3 - 66665 - 67*d**3 wrt d.\nAnswer: -318","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*y = a - 2377, -39*y = -44*y - 3*a + 3955. Is 15 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1429580?\nAnswer: 2, 5, 71479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*j - 37*j = -720. Solve q + 3*o = 14 - 2, 2*q - 4*o = -j for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 24, 4, -0.4, 3\/40, -5\/2, -4, 1\/3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*t + 5*l - 155 = 0, -t + 77 = 18*l - 16*l. Calculate the highest common divisor of 2350 and t.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 11 - (-1 + 6) - 7.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 681 minutes after 11:56 PM?\nAnswer: 11:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 1.53 + -1.6. Let g = 3.03 + -0.03. Which is the third smallest value?  (a) x  (b) g  (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(g) be the second derivative of g**5\/20 + 9*g**2\/2 - 2*g. Differentiate y(r) wrt r.\nAnswer: 3*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -1 at most 2\/102257375?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 54*l + 34*l = 2*l - 2580 for l.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -6 + 18. Let d be (-2)\/i - 26\/(-12). Find the second derivative of 5*m - m + m**3 + 2*m**d - 2*m**2 wrt m.\nAnswer: 6*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 38087?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -49\/6 and (3 - (-15)\/(-4)) + 171\/(-28).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -11993 - 21464 + 10567 = 545*p for p.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 58 + -60. Let p(r) = -9*r - 3 + 4 - 3. List the prime factors of p(l).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 83544515 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve -150 = -13*u - 124 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*x + 3*x - 1735 = 0. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(q) = -42*q. What is v(1)?\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let r(x) = x**3 + 5*x**2 + 6*x + 4. Let b be r(-4). Let c be 88\/12 + b\/(-6). Solve 4*o = c - 4 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 33 + -27. Suppose 5*t + 30 = 5*r, 2*t + 0*r - 6 = -4*r. What is the units digit of (1\/t)\/(y\/(-18))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (8 - (-1503)\/(-189))\/(3\/9).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1 in 5, 0.1, -364?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 192*b - 8 = 200*b. What is the closest to b in -2\/13, -11, -4\/3?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 27\/20 and 464\/24*(-9)\/(-8).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 20974448?\nAnswer: 2, 11, 119173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-13)\/((-2691)\/1260) - (-4)\/(-46). Solve 47 = -41*k + a for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 2475\/5176 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -5 + -112221060?\nAnswer: -112221065","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-704)\/9 - 4\/(-18). Let j = 80 + v. Solve 15 = -5*i - 5*h, 4*i - j*i + 14 = -4*h for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(o) be the third derivative of -229*o**4\/24 - 3*o**3\/2 - 31*o**2. What is the units digit of i(-1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 18*(-4)\/(-630)*5?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (2\/7)\/(2\/14). Let w be (2 - 1)\/(r\/10). What is the third derivative of 4*k**6 - 10*k**6 + 5*k**2 + w*k**2 wrt k?\nAnswer: -720*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-5)\/(15\/(-6)) + 2. Suppose c - p*z = 28, -2*c - z - 2*z = -1. Is 4 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -3 - m - 2 + 3 + (-3 + 12 + 21)*(-m - 2*m + m).\nAnswer: -61*m - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(1008) + 1*sqrt(1008))\/sqrt(9).\nAnswer: 8*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1314 or -67060\/51?\nAnswer: -67060\/51","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many meters are there in sixty-three quarters of a kilometer?\nAnswer: 15750","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 574 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Express (4*y + 0*y - y)*(-177 + 334 + 493) in the form o*y + b and give o.\nAnswer: 1950","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 281, 1129, 2541, 4517, 7057, 10161?\nAnswer: 13829","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (48\/(-210))\/((48\/600)\/(-1)).\nAnswer: 20\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h(y) be the first derivative of -y**3\/3 + 2*y**2 + 4. Let v be h(4). Suppose 5*n - 5*x - 215 = v, 0 = -3*n + 2*x + 2*x + 124. Is 11 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(x) = 0*x + 3*x - 1 - 5*x + 15*x**2. Calculate the least common multiple of 4 and c(-1).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.012326 + 8835359?\nAnswer: 8835358.987674","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -37*o - 66 = -34*o. Let r = o - -27. Solve 0 = -r*j + 34 - 9 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*n - 2*n + 4 = 0. Let t be -3 + 6 - (-3 - 0). Let m = -9 + t. Which is the closest to n?  (a) -5  (b) 2\/3  (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-10 + 57*d**2 + 10)*(0 - d + 0) + (0 + 0 - 2*d**2)*(-278 + 278 + 51*d).\nAnswer: -159*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let m(d) = 4*d - 26. Suppose 3*v = -3*w + 15 - 3, 2*v + 10 = 0. Let h be m(w). What is the greatest common factor of h and 80?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(x) = -29*x + 21. Calculate g(-4).\nAnswer: 137","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Put -13, -3, 5, -2 in decreasing order.\nAnswer: 5, -2, -3, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Work out 46.2 * 1239144.\nAnswer: 57248452.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -1979, -1977, -1975?\nAnswer: -1973","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -278508*x**3 + 8046*x - 9.\nAnswer: -1671048*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4 + 1 + 1 + 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 26 + -43. Let o be ((-1433560)\/60)\/((-24)\/h). Let g = 16920 + o. What is the common denominator of -37\/16 and g?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(k) = 12*k**2 + 214*k + 768. Determine r(-5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 2\/9  (b) -2  (c) 0  (d) -1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, 4, -4, 2, -8 in decreasing order.\nAnswer: 4, 2, 1, -4, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -1087 - 45?\nAnswer: -10cc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -33.01 - -30.3. Let a = s + 2.71289. Round a to four dps.\nAnswer: 0.0029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -163*g + 205*g - 20958. Calculate the remainder when g is divided by 39.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 14 - 32 - d + 18 in the form z + w*d and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, 40\/713, -2\/7.\nAnswer: -2\/7, 0, 40\/713","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-10)\/55 - 72\/(-33). Solve g*q + 7 + 3 = 0 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3386 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: Sort 368, 2, -2, 1, -3.\nAnswer: -3, -2, 1, 2, 368","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand b**4 - 11*b**2 + 11*b**2 + (-2*b - 4*b + 5*b)*(b - 3*b + 0*b)*(-2*b - 2*b + 2*b)*(6*b - 7*b + 9*b).\nAnswer: -31*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let b(g) = g**2 - 15*g + 28. Let i be b(13). Suppose -102 = -5*h + 3*c + c, i = c. What is the highest common factor of h and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 1374290092?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -52.56 - -0.5.\nAnswer: -52.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Convert 21253 (base 6) to base 13.\nAnswer: 1431","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Does 1\/23835 = 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 20098 is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (2 + -4)\/((-10)\/15). Let d be (z - 5)\/(-1 + 0). Suppose d*m = 3*c - c + 76, 2*c = -m + 50. Is 28 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {n: 1, d: 3, z: 4, o: 1, h: 5}. What is prob of sequence hzn?\nAnswer: 5\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let v be ((-3)\/(-9))\/((-9)\/(-27)). Suppose -35 = 4*r - 9*r. Calculate the greatest common divisor of v and r.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence nyvw when four letters picked without replacement from {y: 1, v: 1, w: 1, k: 3, n: 1}.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 331285013335 - 6*a - 331285013335.\nAnswer: -6*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Sort -20, -4, -6670, -105 in decreasing order.\nAnswer: -4, -20, -105, -6670","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -2\/9, 2\/9, 3, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Does 42 divide 1092?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((11\/(-33))\/((-2)\/(-12)))\/(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c(n) = -4*n - 3. Let q be (1*9\/3)\/(7 + -6). Let d(b) = -q + 6 + 5*b + 3 - 2. Suppose -3*r = 2*r - 3*v + 14, -5*r = 3*v + 26. What is r*c(h) - 3*d(h)?\nAnswer: h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 72550999 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -45\/2 - -139\/6. Let m = 326312 - 326310.4. Sort w, -0.3, m in decreasing order.\nAnswer: m, w, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -13, -31, -49, -67?\n\"Answer: -18*p + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2\/7 in 1\/3, 0, 7, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*g + 2*x = 16, 0 = g - 4*x + 1 + 1. What is the least common multiple of g and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-543*m**3 - 5*m**2 + 344*m**3 + m + 320*m**3)*(-4 - 1 + 2)*(0*m + 2*m - m).\nAnswer: -363*m**4 + 15*m**3 - 3*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Determine k, given that -3*k**2 - 1238145*k - 2476278 = 0.\nAnswer: -412713, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 126 - 57. Calculate the remainder when x is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*m + 5*o - 142, 4*m - 6*o = -4*o + 128. Suppose r = -4*f - 106, 3*f + r + 42 + 38 = 0. Let u = f + m. List the prime factors of u.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 3484 and 52?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Put together 0.783111063 and -3.\nAnswer: -2.216888937","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 25 and 53.\nAnswer: 1325","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 4714813 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -572 - 10?\nAnswer: -602","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 20695 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -283473\/146432 + -1\/33792. Find the common denominator of -6\/11 and r.\nAnswer: 858","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1111*h + 2196 = 953*h - 1881*h for h.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*a + 4, 0*q + 2*a = 2*q - 574. Calculate the remainder when q is divided by 29.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-16)\/(-10) - (-6)\/15?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 38489?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 2222 and 17?\nAnswer: 37774","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let p(d) = -2*d**2. Let t(z) be the first derivative of -7*z**2\/2 + 2. Calculate p(t(i)).\nAnswer: -98*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -20*g = 6 - 26 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is (-63)\/42*2184\/1044 + 6\/2?\nAnswer: -4\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15*v + 16*v = 5. Suppose y = 3*a - 12, 5*y - y = a - 15. Let o be -1*0\/(a - 2). Put o, -5, v in descending order.\nAnswer: v, o, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -70 = -32*o + 30*o. Calculate the highest common factor of 21 and o.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(o) = -o**2 + o. Let g(a) = 2*a**2 - a. Let p(m) = 3*g(m) + 3*r(m). Let t(b) be the second derivative of -1\/6*b**3 + 0 + 0*b**2 - 8*b. What is p(t(i))?\nAnswer: 3*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 2052 a factor of 116898336?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: 0.0667*-5\nAnswer: -0.3335","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 1 - d - 5 - 1 + 1 wrt d.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 153500777?\nAnswer: 153500777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from elwueewwwe. What is prob of picking 1 e, 1 w, and 1 l?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let u(h) = h**3 - 18*h**2 + 199*h - 5039. Give u(21).\nAnswer: 463","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 20295.\nAnswer: 3, 5, 11, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -67 in 1, 2\/5, 5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*l**2\/7 + 917572*l\/7 - 1835160\/7.\nAnswer: 4*(l - 2)*(l + 229395)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) 64  (b) 4  (c) -4  (d) 0.9  (e) -62  (f) -1  (g) 54\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let z(u) = -u**2 - 4*u + 16. Calculate z(-9).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -9*n**3*x - 4*n**3 - 11 wrt x.\nAnswer: -9*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -1\/360, 3\/5, 0.1, 0.4, 0.09?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let c(x) = -x. Let t(y) = 6*y. Let n(a) = -16*c(a) - 3*t(a). Let f(q) be the second derivative of -q**3\/2 - 4*q. Calculate f(n(v)).\nAnswer: 6*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: -155092756 divided by -1704316\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the sixth smallest value?  (a) 5  (b) -0.06  (c) -10  (d) 1  (e) -9  (f) 0.01\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let t(h) = 16*h - 54. Let j be t(4). Let q be ((-1)\/(j\/(-48)))\/(48\/240). What is the greatest common divisor of q and 756?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 8*o - 3 + 7 - 4.\nAnswer: 8*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -608 - 562 = 195*p for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*j - 5 = x, -3*j + 7*j = -4*x + 4. Suppose g = 5, -x*g = -k + 3*k - 23. Let f(m) = 5*m - 1. Let s be f(1). Solve -k*c + s = -12 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 3 or -8.9?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: (109\/109)\/(10\/4)*(-1)\/(-3)\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 2210200213 - -23?\nAnswer: 2210200302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3593.\nAnswer: 3593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -13\/208005 and 157\/30?\nAnswer: 416010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.44*9078660.\nAnswer: 3994610.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: (-40)\/(-2350)*(-80)\/32\nAnswer: -2\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 1848160 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let u(h) = -382*h - 5. Let q(x) = 611*x + 8. Let i(z) = -5*q(z) - 8*u(z). Let y be (-6)\/(0 + (-6)\/4). Let t(a) = y*a + 4*a - a. What is t(i(l))?\nAnswer: 7*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is b in 2*b**3\/9 - 4*b**2 - 8*b\/9 + 16 = 0?\nAnswer: -2, 2, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -13, -22, -33, -46, -61, -78?\nAnswer: -97","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: 3 divided by -90\nAnswer: -1\/30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -0.03 + 0.23. Let v = 13303\/319 + 4878\/29. Let i = -210 + v. What is the biggest value in 0.4, i, j?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*n - 212*c = -211*c + 28, 2*n = 4*c + 94 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let i(k) = k**3 + 50*k**2 - 35*k + 853. Give i(-51).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 118 is divided by 116?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 689 minutes after 8:43 AM?\nAnswer: 8:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1466*d - 8819498 = 1432*d. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -2097448, -4194856, -6292262, -8389666?\n\"Answer: b**2 - 2097411*b - 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 2 + 24 + -2 + 2. Let a = -38 - -47. Solve -c + a = -4*c, 5*q - m = 2*c for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((x*x\/x**(-3\/11)*x)\/x)\/x)\/(x**(-10)\/x))\/(x\/((((x*x\/(x\/(x*x\/x**2*x)))\/x*x)\/x)\/x*x))**42 assuming x is positive.\nAnswer: x**(135\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*(-1*sqrt(605) - sqrt(605)))**2 + ((sqrt(55)*1*-5)\/sqrt(11))**2.\nAnswer: 2545","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:40 PM and 1:00 PM?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:44 PM and 8:41 PM?\nAnswer: 117","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let x(s) = -153*s - 38. Let a(l) = -46*l - 13. Let m(u) = 10*a(u) - 3*x(u). Determine m(6).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -303 (base 4) to base 16.\nAnswer: -33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 7*g - 7 - 21. Suppose 12728 = 4*s - b, -6378 = 6*s - 8*s + g*b. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 15*c = -3*c + 36 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let c(q) = 11*q**3 - 2*q + 1. Let n be c(1). Suppose 4*r = -0*r - 2*v + n, -r + 5*v - 25 = 0. Let k = r - -2. What are the prime factors of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(52)\/sqrt(4) + 0)**2 + -2.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let a(i) = -772*i**2 - 16*i + 4. Let h be a(-4). Let v be h\/370*5\/(-2). Calculate the highest common factor of 332 and v.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 15825 - 1503277\/95. Let r = p + -12\/19. Suppose 5*z + 5 = g, 0 = -0*z + 2*z + 4. What is the nearest to r in -3, -2\/11, g?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (3 - 3)\/3 - 3. Let l = 5 + t. Let v(p) = p**3 + 2*p + 1. Is 5 a factor of v(l)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 96, 190, 294, 408, 532, 666, 810?\nAnswer: 964","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b(r) = -3*r**3 - 295*r**2 + 650*r + 2477. Determine b(-2).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -j**5\/5 - 6313*j**4 + 852831*j**3\/5 - 4833967*j**2\/5 - 12352682*j\/5 - 1326864 = 0. Calculate j.\nAnswer: -31592, -1, 14, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let q(m) = m**3 + 5*m**2 - 4*m - 1. Let i be (-2)\/(-2 - 14\/(-6)). Let y be q(i). Let n = y + 13. Solve -4*v + 10 = -3*j, n = v - 3*j + 2 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -113*k + 629 - 105 = 18*k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 980352393 to the power of 1\/2, to the nearest integer?\nAnswer: 31311","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 4 + 13 + 0 - (6 - (6 + -6)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1113?\nAnswer: 3, 7, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 1824532931 to the power of 1\/3, to the nearest integer?\nAnswer: 1222","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is (-1 - (0 + 1)) + (18 - (-14 + 22))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from thbqttk. Give prob of picking 1 b, 1 q, 1 h, and 1 t.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2\/27?  (a) -2  (b) 1\/4  (c) -0.5  (d) -17\/27  (e) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (4\/(-12))\/(2\/(-12)). Suppose -5*i = 3*v - 16, -4 = -5*i + v + m*v. Solve i*d = 5*j + 5, 2*j = -3*d - 2*j - 4 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((p**(-1))**(-16)\/(p**(-6)\/p*p\/((p\/(p\/p**(2\/9)))\/p)*p))**(1\/3))**(-17\/3) assuming p is positive.\nAnswer: p**(-3094\/81)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 6122342 to the power of 1\/2, to the nearest integer?\nAnswer: 2474","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let v(t) = -26*t + 256. Is v(-13) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, 7062, -20084 in descending order.\nAnswer: 7062, 2, -20084","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 297545231?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -24 + 24 - (1 + 1).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n be ((-24)\/24)\/(1\/(-2)). Put -23, -2, n, -1 in decreasing order.\nAnswer: n, -1, -2, -23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {p: 1, f: 8, n: 5, v: 3, w: 2}. What is prob of sequence vvw?\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {q: 7, w: 1, g: 2, l: 2, e: 1, n: 4}. What is prob of sequence gnq?\nAnswer: 7\/510","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v\/(v**(-6)*v))**(-1\/73)\/(v**23\/v**14) assuming v is positive.\nAnswer: v**(-663\/73)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6 + 6 = -21*p. Solve 4*z + 2*i + 14 = p, -i = -z + 5*z + 11 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(p) = p**2 - 5*p + 4. Let w be h(4). Let u = -681 + 680. Sort w, u, 3, 6 in increasing order.\nAnswer: u, w, 3, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 4 + 1. Determine j so that -3*j**o - 13*j**4 + 16*j**4 + 3*j**3 - 2*j**2 - 3*j**2 + 2*j**2 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(3328) + 0 + sqrt(3328) + 2 + -3 - (sqrt(208)\/sqrt(4) + 0 - sqrt(3328)*-2)**2*2.\nAnswer: -30057 + 32*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"}
{"text":"Question: Let x(z) = -z**3 - 2*z**2 - 2*z - 2. Let i be x(-2). Let h be i\/5*(3 + -2). Let v(q) = -q**3 + 45*q**2 - 6*q + 270. Let m be v(45). Which is smaller: h or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 0 - 1 - (5 + -4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 667570 divided by -4?\nAnswer: -333785\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 117 - 61 - (15 + 23).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t(v) = v**3 - 18*v**2 + 19*v - 30. Let x be t(17). Calculate the greatest common divisor of 13 and x.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 169 + 151 = r. Calculate the highest common divisor of 40 and r.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: -5 + -1 + (-98)\/(-7) + -24\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -h = -8, -2*n + 15 = -5*h + 53 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Determine k so that 484*k**4\/7 + 9284*k**3\/7 - 30092*k**2\/7 - 12*k + 5544 = 0.\nAnswer: -22, -1, 21\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -46*s**2 + 20*s**2 + 27 + 0*s - 14*s - 20*s.\nAnswer: -26*s**2 - 34*s + 27","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5*sqrt(2057)*2*6.\nAnswer: 660*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Add together 143427452.95 and -0.28.\nAnswer: 143427452.67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 456\/(-180) + 6\/45.\nAnswer: -12\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 9353 and 423?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 11896920?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5 + sqrt(14)\/((sqrt(56)*-1)\/sqrt(8)) + (sqrt(4) - (-2*sqrt(16))\/sqrt(4))\/sqrt(2).\nAnswer: 2*sqrt(2) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: (-2)\/(2\/(-4)*(-15)\/(-30))\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 532?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.000004218996 to seven decimal places.\nAnswer: 0.0000042","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence bq when two letters picked without replacement from {q: 1, b: 6, y: 10}?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 536 and 20?\nAnswer: 2680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 4*p + 1444 - 1448 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: (((-172)\/258)\/((-2)\/(-27)))\/((-2)\/2)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -5 - 4. Is 4*1538 - (11 - v)\/(-4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(y) be the second derivative of y**9\/15120 - y**7\/840 + 5*y**4\/6 + 6*y. Let b(g) be the third derivative of i(g). Find the third derivative of b(x) wrt x.\nAnswer: 24*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 38756, 38953, 39152, 39353?\nAnswer: 39556","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 2990651?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let z(v) = v**3 + 10*v**2 - 10*v - 95. What is z(-10)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.16 - -33516165.\nAnswer: 33516164.84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let l(q) = 8872*q**5 + 4*q**4 - 75*q**2 + 25*q. Let k(a) = a**5 - 2*a**4 + 2*a**2 - 2*a. Let n(b) = 2*k(b) + l(b). Find the third derivative of n(y) wrt y.\nAnswer: 532440*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) -4\/9  (b) 8  (c) 0.1  (d) -11  (e) -1.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 2331189818 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*i + 89 = 14. Let r = -33 - -239. Let y = r + -179. What is the remainder when y is divided by i?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 99278660?\nAnswer: 2, 5, 13, 381841","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:33 PM and 8:39 PM?\nAnswer: 366","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of l**3*w**2 - 10*l**3 - 391*l**2*w**2 + 49*l*w**2 - 523*w**2 wrt l.\nAnswer: 6*l*w**2 - 60*l - 782*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 4 + (3 + 1)*275\/(-44). Let m(k) = k**2 + 24*k + 64. Let v be m(g). Let d = 4.2 - 4. Which is the smallest value?  (a) 5  (b) d  (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*f = -q + 2119, 5*f - 73*q = -69*q + 2654. Calculate the remainder when f is divided by 173.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -723*i = -19996 - 1694 for i.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1654728?\nAnswer: 2, 3, 68947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let n(s) be the third derivative of 0*s**5 + 0*s - 1\/168*s**8 + 0 + 0*s**3 + 2*s**2 - 1\/8*s**4 + 0*s**6 + 0*s**7. Find the second derivative of n(h) wrt h.\nAnswer: -40*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -b - 6*b + 5*b + 1 + b - 3*b + b + 2*b - 2 + 2 + (b + 4*b - 4*b)*(3 - 1 - 3) + b - 6*b + 3*b + 18 - 18 + 2*b.\nAnswer: -2*b + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let u(q) be the second derivative of -1\/30*q**6 + 0*q**3 + 2*q + 0*q**4 + 0*q**5 + 0 + 3\/2*q**2. Find the first derivative of u(f) wrt f.\nAnswer: -4*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, 2, 133425 in decreasing order.\nAnswer: 133425, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from tafzddzzfzaa. Give prob of picking 1 d and 2 f.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: -0.3 times 52.3734\nAnswer: -15.71202","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 616\/99 + (-2)\/9. Let g be (12\/9)\/((-2)\/(-6)). Solve y*f = g*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*d**4\/8 + 3*d**3\/4 - 1845*d**2\/8 + 753*d\/2 + 15015\/2 = 0 for d.\nAnswer: -26, -5, 7, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Convert 22002200 (base 3) to base 15.\nAnswer: 1b39","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Work out -13977.574 - 7115363.\nAnswer: -7129340.574","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {k: 2, m: 6, c: 3, d: 1, t: 3, u: 5}. Give prob of picking 1 u, 1 m, and 1 c.\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 26965, 26988, 27013, 27040, 27069?\n\"Answer: w**2 + 20*w + 26944","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 47 + 5692a?\nAnswer: 56972","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 317 minutes before 6:40 PM?\nAnswer: 1:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -20*(-1)\/45*(-11070)\/60.\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(21)\/sqrt(3)*4*-1)**2.\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 320 + 3?\nAnswer: 323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Put -8, 4, 509, 1, 3, -6 in increasing order.\nAnswer: -8, -6, 1, 3, 4, 509","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let o(k) = 5*k**3 - 14*k**2 + 8*k + 4. Let v(y) = y**3 - y**2 - y + 1. Let f(s) = -o(s) + 4*v(s). Let h be f(8). What is the greatest common divisor of h and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(w) = w**2 + 2*w + 1. Let s = -4 - -3. Let b be k(s). Suppose 4*t = -b*t + 120. Is t a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from emmmmmemmmmmemeeeme. Give prob of picking 2 m and 1 e.\nAnswer: 154\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (3 + -6)\/(3 - 4). Suppose -7*t = -y*t - 124. Let h be (6 - t)*772\/(-1). What is h rounded to the nearest one thousand?\nAnswer: 19000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(d) = 36392*d + 886. Is j(1) a multiple of 114?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 33623*d - 33601*d = -88 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 19341 + -18484. Which is bigger: q or 864?\nAnswer: 864","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*c**2\/5 + 1252956*c\/5 - 2505992.\nAnswer: 4*(c - 10)*(c + 313249)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(7)*2 + 1 - (-2*sqrt(7) + -1) - (sqrt(14)*1*5)\/(4*(sqrt(2) + sqrt(50)))) + -3)**2.\nAnswer: -91*sqrt(7)\/12 + 58543\/576","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (b*b**2)\/(b\/b**4)*b*b*(b*b\/((b**(-6)\/b*b)\/b)*b)\/b*b*b*b*b*b**3 assuming b is positive.\nAnswer: b**24","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 22222220220102200 + 2?\nAnswer: 22222220220102202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is -184267 at most as big as -184269?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let t(x) = 869*x**2 + 5*x. Let i(f) = -723*f**2 - 4*f. Let h(u) = 6*i(u) + 5*t(u). Let r(v) = 15*v**2 + 3*v + 1. Determine -5*h(o) + 2*r(o).\nAnswer: -5*o**2 + o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -37 + 29. Let v be ((-122)\/d)\/(3 + (-22)\/8). Let i = 78 - v. Solve -3*f - 15 = -3*g, -3*f + i = g - 7*f for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -149651.2580466 - -0.39.\nAnswer: -149650.8680466","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 78*v - 35*v + 27*v + 490 = 0 for v.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 8369393.\nAnswer: 1823, 4591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -1.51 + 28.71. Let i = 28.2 - q. Let s = -188\/3 + 62. Which is the closest to i?  (a) s  (b) -2  (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 2  (b) -4  (c) 0.276  (d) 1\/3  (e) -0.7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1.841573 millilitres to litres.\nAnswer: 0.001841573","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 87\/3380 and -87\/676?\nAnswer: 3380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 35492, 33893, 32296, 30701, 29108, 27517, 25928?\n\"Answer: r**2 - 1602*r + 37093","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -5\/44, 2\/7, -2?\nAnswer: -5\/44","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -331 - -660. Let q = n - 326. Suppose 3*f**3 - q*f + 3\/2*f**2 - 3\/2 = 0. What is f?\nAnswer: -1, -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(z) be the third derivative of z**6\/120 - 7*z**5\/60 - 46*z**2. What is m(7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -52255.05 + 53398. Let r = -1142.849986 + g. Let c = -0.1 + r. What is c rounded to five decimal places?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 104519 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-5)\/((-35)\/(-2)))\/(56\/147*1023\/(-22))?\nAnswer: 1\/62","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 1350 and 300?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -20 - -19. Is 152\/9 - j\/9 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1?  (a) 0.1  (b) -2  (c) 5  (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let z(t) be the third derivative of t**6\/40 + t**5\/30 - 6*t**2. What is the third derivative of z(n) wrt n?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 174 + 30 = -57*w + 6*w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 81, 887, 3049, 7239, 14129, 24391, 38697?\nAnswer: 57719","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.2 + -202?\nAnswer: -202.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is seventeen quarters of a gram in milligrams?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((n**(2\/5))**(-34))**(-6\/5) assuming n is positive.\nAnswer: n**(408\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*d + 3939 = 65406. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ttttttttttbtttt. Give prob of picking 2 t.\nAnswer: 13\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: 339 divided by 3\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 36.17 + 0.83. Let i = -3 + u. Let w = -32 + i. Which is the third biggest value?  (a) 1\/11  (b) -0.4  (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 5379?\nAnswer: 3, 11, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-410)\/(-13) + 82*231\/41041.\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 696.\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 6780829 and 33?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -0.95 + 45.95. Let q = 50 - p. Which is the fourth biggest value?  (a) 3  (b) -2\/7  (c) -0.3  (d) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -34*k + 21*k + 962. Let p be (-369)\/k + 4 + (0 - -1). Is p < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -11271316 divided by 1?\nAnswer: -11271316","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.4 take away -1048788609146?\nAnswer: 1048788609145.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*t = -11*t + 124. What are the prime factors of t?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 9871 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let l(c) = 2*c + 12. Let s = -156 - -237. Let u(p) = -28 - 23 + s - 31. Give -l(z) - 10*u(z).\nAnswer: -2*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p**(1\/5))**8\/(p**(-17)\/(p\/((p**(-16)*p)\/p))) assuming p is positive.\nAnswer: p**(178\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let n(c) = -c**2 - 13*c - 11. Suppose -165*z + 2700 = -156*z. Suppose -z = 10*v + 15*v. Determine n(v).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 347987, 347998, 348015, 348038, 348067, 348102?\nAnswer: 348143","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 y and 3 l when four letters picked without replacement from {z: 4, t: 2, y: 2, l: 5}?\nAnswer: 4\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: 0.11 * 0.14797\nAnswer: 0.0162767","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4272383?\nAnswer: 53, 80611","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((19584\/(-340))\/72)\/((-2)\/40)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -129*y + 202*y. Let u(b) be the first derivative of y*b - 10 - 1\/3*b**3 + 0*b**2. Let k(t) = -13*t**2. Determine u(k(p)).\nAnswer: -169*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from pppppppppppbbpbpbp. Give prob of sequence ppbb.\nAnswer: 91\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 17619060?\nAnswer: 2, 3, 5, 293651","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let d(c) = -532*c**2 - 18*c - 228. Let p(b) = -532*b**2 - 15*b - 226. Let l(s) = 5*d(s) - 6*p(s). Differentiate l(a) wrt a.\nAnswer: 1064*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is c in -c**2 + 51694*c - 668067409 = 0?\nAnswer: 25847","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -d - 53 = l - 61, -50 = -4*d + 2*l. Let s(j) = -j**2 + 12*j - 12. What is s(d)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -1, -3, 1, 2, 3 in decreasing order.\nAnswer: 3, 2, 1, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -3?  (a) -1634  (b) -2\/5  (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: -975 * 0.3\nAnswer: -292.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.39367412 to 3 decimal places.\nAnswer: 0.394","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o**(-1\/2))**(9\/2)\/((o**(-1)\/o)\/o)**(5\/2) assuming o is positive.\nAnswer: o**(21\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 34 and 46.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 15 + 28?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 39 minutes after 5:15 AM?\nAnswer: 5:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Work out -24.448 * 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is -176 at most as big as -174?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1 + (5*1*sqrt(1323))\/((-3*(sqrt(81) + (sqrt(81) - sqrt(81)*-1)))\/sqrt(9)) + 4.\nAnswer: -35*sqrt(3)\/9 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 3 - 3\/(6\/(-80)). Let x = 10 + r. List the prime factors of x.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 493846?\nAnswer: 2, 246923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 207*w**3 - 157*w**3 + 421*w**3 + 30*w**3.\nAnswer: 501*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 113, 108, 103, 98, 93?\n\"Answer: -5*k + 118","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 35188913 to the nearest integer?\nAnswer: 328","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 294 to the power of 1\/3, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 988153 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 3*f**5 + 234*f**4 - 5*f**3 + 4*f**2 - 133*f + 1627?\nAnswer: 60*f**3 + 2808*f**2 - 30*f + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*i + y - 323 = 370, 4*y - 192 = -i. Suppose -4*a + 3*r = -i, 12 = -r - 2*r. Suppose -a*g - 12 = -44*g. Solve 2*m = g*m - 2 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(x) = x**3 - 4*x**2 + 20. Let j(h) = -h + 2. Let o be j(-2). Let a be u(o). What is the highest common divisor of a and 100?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 250, 526, 800, 1072, 1342, 1610?\nAnswer: 1876","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from vxvxrirvrxrixirxddwx. Give prob of picking 1 w and 1 r.\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let l(q) = -q**4 - q**3 + q**2 + 1. Let h(n) = 6*n**4 - 5*n**3 + 5. Let m(u) = -h(u) + 5*l(u). Find the third derivative of m(s) wrt s.\nAnswer: -264*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-4)\/(-7)*80997\/2436?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t(p) = 7*p**2 - 112*p + 575. Give t(5).\nAnswer: 190","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 17579 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let h(w) = w**2 - 9*w - 3. Let a be h(11). Suppose a*j - 16*j - 6 = 0. Find the third derivative of 2*f**2 + 0*f**2 - 12*f**4 - 2*f**2 + 5*f**j wrt f.\nAnswer: -288*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.4?  (a) -1\/5  (b) -2\/7  (c) -38\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 153\/21 + 0 + (-4)\/14. Calculate the greatest common factor of k and 315.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (2 - (-2 + 0)) + 3 + -22 + 3.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*h = -0*h + 38. Let u = -36 - -61. Suppose -5 = -3*g + u. What is the remainder when h is divided by g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 14815095 a multiple of 1299?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 11 + -8. Suppose j*k - 256 = -k. What are the prime factors of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = k - 3*k. Let v = -2075 - -2070. Sort k, 4, v.\nAnswer: v, k, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2\/17, -1, 89, 0.2 in decreasing order.\nAnswer: 89, 0.2, 2\/17, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -18156 + 1a?\nAnswer: -1813b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -t + 5*m - 14 = -0*t, 3*t + 2*m = 26. Calculate the remainder when (-7 - (-178)\/14)*(-28)\/(-8) is divided by -6*(t\/2)\/(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -63109.432 rounded to the nearest 1000?\nAnswer: -63000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 1230 to the power of 1\/2, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 2 - 10\/6 - (-6)\/36. Factor -1 - c*p + 1\/2*p**2.\nAnswer: (p - 2)*(p + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -2 + (-116 - -65) + -19.\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -12399, -12417, -12455, -12519, -12615, -12749, -12927?\n\"Answer: -s**3 - 4*s**2 + s - 12395","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Put together 84431519 and 164.\nAnswer: 84431683","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 y, 1 t, and 1 j when three letters picked without replacement from {h: 3, y: 2, o: 2, j: 3, t: 6}?\nAnswer: 9\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is -4287.5 rounded to the nearest one hundred?\nAnswer: -4300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*b = 0, 2*y + y = 3*b + 12 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1 + 1 + 7 + -4 - 6.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 7*n - 11 + 366*n**2 + 14 - 7*n - 401*n**2.\nAnswer: -35*n**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 124856 and 32?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -203*z**4 + 7*z**3 + 12*z**2 + 1688*z + 28.\nAnswer: -2436*z**2 + 42*z + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12*s + 12 = -15*s. What is the remainder when 104 is divided by -36*(12\/(-28))\/(s\/(-7))?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 6 - 6.07. Let n = s - -0.27. Let k = 1.9 + -2. Which is smaller: n or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 409*s + 228.\nAnswer: 409","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (6 - 3)\/(6\/8). Suppose 2*r + 32 = r + 3*r. Solve -d*u = -r - 0 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 5845311 - -0.15\nAnswer: 5845311.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 3, 60\/727, 1, 1\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 180243 to the power of 1\/2, to the nearest integer?\nAnswer: 425","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {l: 3, u: 4, e: 1, g: 3, t: 1, w: 3}. Give prob of sequence wet.\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2\/13 in -11\/6, -5, -0.1, 1172?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 2948460647 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 88599?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 287264 to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 1200 and 0.0659?\nAnswer: 1199.9341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 18?  (a) 4721\/3  (b) -1\/3  (c) 2\/9  (d) 3  (e) 5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -103 - -105. Let y(t) = 8 + 4*t**w - 8. Let x(r) = 7*r**2. Determine y(x(n)).\nAnswer: 196*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -62214*s**3 + 1286398*s wrt s?\nAnswer: -373284*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 1 + 101110000111?\nAnswer: 101110001000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*o = -2*g + 23722, 5*o = 4*g - 1077 - 46403. List the prime factors of g.\nAnswer: 3, 5, 7, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -122521*k**2*q**2 - k**2 + 321*k*q**2 - 20218186*k wrt q?\nAnswer: -245042*k**2*q + 642*k*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0000280196 to six dps.\nAnswer: -0.000028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -54fcbf - 1?\nAnswer: -54fcc0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is (-512)\/(-24)*(98\/4 - -1) a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(d) = 30*d + 0*d**3 + 12 + d**3 - 11*d**2 - 42*d. Let f be q(12). Suppose f - 57 = -5*z. Calculate the remainder when z is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(x) be the third derivative of -x**6\/480 - 11*x**5\/240 - x**4\/4 + 3*x**3\/2 - 65*x**2. Factor y(f).\nAnswer: -(f - 1)*(f + 6)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -295, -299, -303, -307?\nAnswer: -311","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: -4565504 divided by 2368\nAnswer: -1928","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let h(c) be the third derivative of 13*c**5\/20 + 7*c**4\/8 - 7*c**3 + 5*c**2. Let b(t) = -11*t**2 - 6*t + 12. Let w(a) = 18*b(a) + 5*h(a). Factor w(j).\nAnswer: -3*(j - 1)*(j + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-228)\/(-360) - (-2)\/(-15). Factor 0 + w*f**3 + 0*f + 1\/3*f**4 + 1\/6*f**2.\nAnswer: f**2*(f + 1)*(2*f + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-11)\/(-3) + 2\/6. Put l, 1, -4 in ascending order.\nAnswer: -4, 1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: -2 divided by -609\nAnswer: 2\/609","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: -56874+-1229535\nAnswer: -1286409","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"}
{"text":"Question: Let s = -19 - -33. Suppose -11 = -5*y + s. Suppose 3*h - 5 = 1. Solve -2 = y*v - 3*p + h, -4*v - p = -7 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from nqndtcnn. What is prob of sequence cn?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 553 minutes after 12:02 AM?\nAnswer: 9:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -4.91 - -8.91. Let p = -0.3 + 0.2. Suppose -4 = 2*t - 8. Sort n, p, t in descending order.\nAnswer: n, t, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((j**(-1\/4))**(-3\/2))**(-21) assuming j is positive.\nAnswer: j**(-63\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 411, 813, 1175, 1491, 1755, 1961, 2103?\nAnswer: 2175","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand -4*r**2 - r**2 + 2*r**2 + (6*r**2 - 2*r**2 - 2*r**2)*(-4 + 2 + 5).\nAnswer: 3*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is ((20\/21)\/((-1)\/(-3)))\/(13\/(5187\/342))?\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 4604.089 kilometers in micrometers?\nAnswer: 4604089000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 50 - 20 - 12 - (-3 + -2 + -3).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 17663 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 21483828 and 1143?\nAnswer: 21483828","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -3 + 3. Suppose 4*i - 3*m - 67 = h, -5*m + 1 = -i + 5. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*i = -7*i + 2*k, 2*k - 4 = 0. Let m be (-3)\/(-12)*i\/(-4). Which is the nearest to -0.2?  (a) m  (b) -1\/5  (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 14484122 times 0.2\nAnswer: 2896824.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 22 + -40. Let g = 0.03 - -15.97. Let t = g + s. What is the second biggest value in 2\/9, t, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -1828605, -3657219, -5485833, -7314447?\nAnswer: -9143061","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 44 and 5082?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let m(t) = 5898*t**3 + t**2 - 2*t + 1. Let v be m(1). Is (v\/9)\/(((-60)\/54)\/(-5)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 413 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 3900\/12*(5 + -3)\/2. Find the common denominator of 62\/33 and 26\/j + 6188\/(-3600).\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -n**3*y + 991*n**3 + 217*n**2*y + 3*n**2 - 2*n*y + n - 11163*y + 7 wrt n?\nAnswer: -6*n*y + 5946*n + 434*y + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Convert 55.32054 nanograms to milligrams.\nAnswer: 0.00005532054","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -3115, -2873, -2469, -1903, -1175, -285, 767?\n\"Answer: 81*x**2 - x - 3195","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 5190845866?\nAnswer: 2, 19, 136601207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let t(w) = -29*w**2 + 40*w + 74. Calculate t(7).\nAnswer: -1067","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 46 - a415?\nAnswer: -a3ad","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.000021654528241 to seven dps.\nAnswer: 0.0000217","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Does 16 divide 8624?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 4 f when four letters picked without replacement from fyykfkfkffk?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let y(b) = -28*b**3 - 61*b**2 - 270*b - 305. What is y(-2)?\nAnswer: 215","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 1305 and 580?\nAnswer: 5220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-2)\/4)\/((-4)\/(-28))?\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z(s) be the first derivative of -18*s**5\/55 + 3*s**4\/11 + 2*s**3\/3 - 4*s**2\/11 - 8*s\/11 + 1. Solve z(c) = 0.\nAnswer: -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 59 + -58.9. Which is the closest to v?  (a) 0.1  (b) -2\/3  (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 8*k - 6*k + 16. Let f(o) = -o**3 - 8*o**2 - 9*o + 4. List the prime factors of f(k).\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from amaammmmamamaaamamm. Give prob of picking 4 m.\nAnswer: 35\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Round -8086512 to the nearest one million.\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is -14770 > -0.3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Divide 12386932 by -84842.\nAnswer: -146","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1?  (a) -3\/7  (b) 7  (c) -0.1  (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -238 + 245. Solve -5*z = -f - 8 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -463, -797, -1753, -3643, -6779, -11473, -18037?\nAnswer: -26783","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 914926091 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Express (-886*j - 92*j - 312*j + 486*j)*(7*j + 15*j**2 - 7*j) as s*j**2 + h*j + q*j**3 + x and give q.\nAnswer: -12060","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*l = 2*l + 4. Let d(x) = 21*x**2 - 1. Let k be d(l). Suppose 3*b + 4*h = k, -5*b - h + 3*h = -42. Solve 0 = 2*g - 6*g - 4*q - 16, 2*q + b = 0 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 o and 1 g when two letters picked without replacement from qogogqoqoooggogoggo?\nAnswer: 7\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 16 - 35 - 14*f**3 - 50*f**3 + 14 + 7.\nAnswer: -64*f**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is (891\/220)\/(-27)*-2*1\/(-6)?\nAnswer: -1\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 131216 to the power of 1\/6, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 24\/(-10)*-18*180\/54. Calculate the highest common factor of 666 and r.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -136*l + 143*l + 35 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 12956, 12946, 12936?\n\"Answer: -10*r + 12966","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -135333 or -135332?\nAnswer: -135332","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 s, 1 y, and 1 m when three letters picked without replacement from {s: 5, q: 1, m: 1, y: 2}.\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 13418, 13477, 13532, 13577, 13606?\n\"Answer: -z**3 + 4*z**2 + 54*z + 13361","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 81*j = 85*j - 28 for j.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 784 and 48?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 i and 1 g when three letters picked without replacement from {g: 7, t: 1, i: 8, q: 2}?\nAnswer: 49\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of (-19)\/((-57)\/(-15) + -4).\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine n, given that 35*n**5\/2 - 1615*n**4 - 162845*n**3\/2 - 570380*n**2 + 169650*n = 0.\nAnswer: -29, -9, 0, 2\/7, 130","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-8)\/(-10))\/((-3690)\/615).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 74*p - 73*p - 51. Differentiate 45 - p*c + 51*c + 54*c**2 - 15*c**2 with respect to c.\nAnswer: 78*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 75747\/4355 + 6\/871. Is v less than 16?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*t - 50 - 14 = 4*m, -5*m - 80 = 3*t. Let q be m\/(-6) + 18\/(-27). Differentiate -3 - q*v**2 + 75*v - 75*v with respect to v.\nAnswer: -4*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 18 - 2. Calculate the remainder when 78 is divided by f.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*s - c - 24 = -3*s, -4*c + 93 = 3*s. Let n be -1 + 19\/3 - s\/81. Calculate the highest common divisor of 40 and n.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -5 - (4 - (-1 + 9)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a(l) = 3*l - 17. Let w(p) = 5*p - 34. Determine 7*a(i) - 4*w(i).\nAnswer: i + 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {t: 1, w: 3, z: 3, n: 2, c: 1, a: 5}. Give prob of sequence wawa.\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 20547\/35 - 587. Let q(g) be the first derivative of -1\/7*g**4 + 2 + 0*g**3 - 2\/7*g + 2\/7*g**2 + v*g**5. Let q(x) = 0. What is x?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*r + w + 2 = 0, -2*r - 5*w + 6 = -0*r. Let u be r\/(-24) + 11\/66. Let m be (2 - 2) + 10\/(-8). Which is the second smallest value?  (a) u  (b) 4\/7  (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 96657, 96650, 96643, 96636?\nAnswer: 96629","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -58.038 - -58. What is x rounded to two decimal places?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 90, 244, 470, 780, 1186, 1700, 2334, 3100?\nAnswer: 4010","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*w - 370 = 5*b - 1243, 5*w = -b + 169. List the prime factors of b.\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1105 = 472*o - 3465 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 234 + -2104\/9. Let q = -1471.9 + 1472. Let g = -4 - -3.9. Which is the smallest value?  (a) i  (b) 4  (c) g  (d) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"}
{"text":"Question: Solve p - 3*p - 13 = -3*g, 4*g + 2*p = -6 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let w(y) = -3855 + 36*y**2 - 3850 + 7705. Let h(i) = 42*i. Give h(w(f)).\nAnswer: 1512*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-269)\/(-6) - 8\/(-48). Find h, given that 8 + 5*h**4 + 1 + w*h**2 - 25*h**3 + 1 - 35*h = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -3?  (a) 20\/3  (b) 3  (c) 576  (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 169961 to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*b = 2 + 2. Let v(j) = -j - 4. Let y be v(-4). Let q be (0 - (-3)\/(-9)) + y. Which is smaller: b or q?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange p**2 + 0*p + 2*p + p**2 to x*p + i*p**2 + b and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.7 plus 32.6?\nAnswer: 31.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5*l**3 + 2 - l**2 + 10 - 13)*(-2*l + 4*l - l).\nAnswer: -5*l**4 - l**3 - l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -884295, -1768686, -2653075, -3537462?\nAnswer: -4421847","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-4)\/18 + 11\/9)\/((-34 + 35)*-25).\nAnswer: -1\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 824 a factor of 3089110?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-156)\/(-182)*560\/(-32).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 265 minutes after 12:17 PM?\nAnswer: 4:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (0 + sqrt(20) - ((sqrt(45))**2 + -1))*1 + 4 + -1*(1*sqrt(30)*-2)\/sqrt(6) + -1.\nAnswer: -41 + 4*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: (-12)\/(-206)*-36*271\/58536\nAnswer: -1\/103","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -1\/16  (b) -3\/5  (c) -31  (d) -15  (e) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose q = -2*q - 15. Let p = q + -1. Which is smaller: p or -5?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6*z + 38 = 38 - 78 for z.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Find b such that 2*b**4\/13 - 854*b**3\/13 + 14886*b**2\/13 - 66258*b\/13 = 0.\nAnswer: 0, 9, 409","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 59\/(-177) + (-3)\/((-9)\/16) + -2?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1486041773?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -37*z = -38*z + 103. What is the units digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, -10, -0.4, 0, -0.2, 1\/8 in descending order.\nAnswer: 1\/8, 0, -0.2, -0.4, -2, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2\/9 in -3, 4.2, -7\/4?\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -16807*c + 3265*c - 2038*c - 1900760 for c.\nAnswer: -122","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 51*i - 99*i + 7*i.\nAnswer: -41*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 12948\/20 - 12\/30 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 32709973 + -57444973. What is s rounded to the nearest 1000000?\nAnswer: -25000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 23\/360 and (221\/1768)\/((-3)\/(-56)).\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(q) = -6*q**2 + 4. Let m(l) = -5*l**2 + 3. Let g(k) = 4*m(k) - 3*s(k). Let d(v) = -3*v + 12*v - 7*v. Give g(d(c)).\nAnswer: -8*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -1793, -14185, -47761, -113111, -220825, -381493?\n\"Answer: -1765*d**3 - 2*d**2 - 31*d + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 5 and -187.\nAnswer: -935","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 56 - 161 = -3*g. Let u = g - 24. Let o(m) = m**3 - 12*m**2 + 10*m + 15. Let p be o(u). Solve -5*k = -4*k + p, 3*k = 4*i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(a) = 2*a**2 + a - 9. Let t(o) = 3*o**3 + 29*o**2 - 6*o + 51. Calculate the remainder when d(7) is divided by t(-10).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -4 - -3. Let j be 1 - -44 - (b - -1). What is the highest common divisor of 9 and j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1847881?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -65 - 5045451*m + 5045451*m - 18*m**3 + (-m - m + 3*m)*(-2 + 2 + m**2) to the form r*m + p*m**2 + o*m**3 + q and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 865609 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10*r + 12 = -8*r. What is the greatest common factor of 66 and r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {r: 3}. Give prob of picking 3 r.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 34819 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 520 minutes after 9:00 AM?\nAnswer: 5:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -8 + 12. Suppose -p + 3*p = 3*i + 54, -5*p + 142 = -v*i. Calculate the lowest common multiple of 18 and p.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*a + 16 = 4*u, -4*a + 2*a + 2*u + 6 = 0. Let l = -3 + 7. What is the greatest common divisor of l and a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*r - 9*r = -10 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -372 + 376. Solve 5*k - a = -5*q + 6, 5*q = 4*k - 35 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence xi when two letters picked without replacement from xxxxxixixxx?\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 2\/5*125\/460 and -31\/10.\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w*w**1)**(-22\/7)*(w\/(w*w*w*(w*w**(2\/13))\/w*w*w))\/(w*(w*w**(-4)\/w)\/w*w*w)*((w**1*w)**(-2\/63))**(-1\/50) assuming w is positive.\nAnswer: w**(-24682\/2925)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 134 in -1\/12, 0, -2\/5, -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5*6*sqrt(2)*2 + (sqrt(352)*1 - sqrt(22))\/sqrt(11).\nAnswer: -57*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1260\/(-1050) + 46\/5?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(z) be the first derivative of 0*z**2 - 1\/6*z**4 - 3 + 0*z**3 + z. Let i(h) be the first derivative of p(h). Factor i(n).\nAnswer: -2*n**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -52*l**4 + 57*l**2 - 39*l**4 + 94*l**4 + l**3 to the form m + b*l**4 + p*l**2 + o*l**3 + v*l and give p.\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2236121.\nAnswer: 2236121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Divide 400371 by -951.\nAnswer: -421","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*r = 2*r - 4. Let u = 5251 + -5260. Put 5, u, r, 4 in decreasing order.\nAnswer: 5, 4, r, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 7716\/10 + (-2)\/8*(-96)\/(-40)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 174949 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Total of 0.4 and 249154350410.\nAnswer: 249154350410.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6856*x = 90117 - 79502 + 476161 for x.\nAnswer: -71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 19600863 is divided by 279?\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is (48\/8568*21)\/((-3)\/(-17))?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -227.9 - -255. Let i = g - 27. Which is smaller: 26 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 912 and 380.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is -1915000 rounded to the nearest 100000?\nAnswer: -1900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence nusc when four letters picked without replacement from issscsunc.\nAnswer: 1\/378","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from qlnqncnqncnnq. Give prob of sequence cn.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -130, -201, -274, -349, -426, -505, -586?\n\"Answer: -y**2 - 68*y - 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*n + 5*i - 97 = 0, 5*n + 2*i = -150 + 4. Let r = n - -43. What is the units digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (((-20)\/4)\/200)\/(14\/(-56)). Let i = 53 - 49. Which is the smallest value?  (a) -3  (b) 0.2  (c) t  (d) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(j) = -10*j - 10. Let h be k(-2). Solve -5*a + 3*m - 1 = h, -2*m = -2*a - 6 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(c) = -c**2 - 6*c + 12. Let d be o(-10). List the prime factors of (-552)\/d - (-2)\/7.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -5 - 147?\nAnswer: -150","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let f(n) = 6*n**3 - 6*n**2 - 4*n - 7. Is f(5) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 50207?\nAnswer: 50207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2 + (sqrt(320) + (sqrt(320) - sqrt(320)*2))**2 + -1 + 4*sqrt(5) + sqrt(5) + ((sqrt(220)*-1)\/sqrt(11))\/(sqrt(4) - (-1*sqrt(4)*1 + sqrt(4))).\nAnswer: 1 + 4*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Put 1414, -5\/4, -3\/5, -0.1, 0 in increasing order.\nAnswer: -5\/4, -3\/5, -0.1, 0, 1414","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 39157702 is divided by 129.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in 0.7725662ug?\nAnswer: 0.0007725662","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -136 - 23 + 3 - 4*p**3.\nAnswer: -4*p**3 - 156","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let q(n) = -10*n**3 - 59*n**2 + 49*n + 244. What is q(-6)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (2 - 2 - 2)*(6*x**4 + 49 - 27 - 24) to the form y*x**2 + i*x + z*x**3 + n + o*x**4 and give n.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Divide 11847879 by 9.\nAnswer: 1316431","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let x(t) = -41138*t + 246808. Determine x(6).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -3 + -435?\nAnswer: -441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let r(w) = 1311*w + 151471. Is r(0) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -87, 2\/9, -3, 91, 20, -2\/7.\nAnswer: -87, -3, -2\/7, 2\/9, 20, 91","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -16.86 + 14.86. What is the fourth smallest value in -0.3, y, 20\/23, -0.2?\nAnswer: 20\/23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(i) = 13*i. Let w(r) = -3612*r**2 - r + 2. Determine w(z(v)).\nAnswer: -610428*v**2 - 13*v + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -143, -263, -355, -419?\n\"Answer: 14*j**2 - 162*j + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 3190806 and 222?\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:48 AM and 9:20 PM?\nAnswer: 572","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 3*b**4 - 54 + 32*b**2 - 27*b**4 - 30*b**2 wrt b.\nAnswer: -96*b**3 + 4*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0\/(-2*(45\/36)\/(20\/8))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -2122, -4246, -6370, -8494, -10618, -12742?\n\"Answer: -2124*b + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4 = -4*g - 8. Let m be 8\/5 - (-696)\/(-870). What is the third smallest value in g, m, -0.2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 89 - 97 - (-9 + 1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -164 + 250. Let a = f + -97. Let w be a\/(99\/24) + 2. What is the third biggest value in w, 0.12, -0.2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 26 divide 5323?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 583303 to the power of 1\/2, to the nearest integer?\nAnswer: 764","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -91*i**3 + 6*i**2 - 107*i**3 - 2*i**2 - 6*i**2 - 38*i**3.\nAnswer: -236*i**3 - 2*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*sqrt(136)*1 + sqrt(136) - (sqrt(136)*-1*5 + sqrt(136)))\/(5*((sqrt(1152) - -1*sqrt(1152)) + sqrt(1152)))*6.\nAnswer: sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -29569, -29598, -29631, -29668, -29709, -29754?\nAnswer: -29803","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 750*b**3 + 403*b**3 - 336*b**3.\nAnswer: 817*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 205230 is divided by 254?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Work out -2312 * 22929.\nAnswer: -53011848","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 5\/(-2)*(-160)\/50. Calculate the highest common factor of k and 18.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (45\/(-54)*-1)\/5?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 366145756*g**2*o**2 + g*o**2 - 1883*o - 7817 wrt g.\nAnswer: 732291512*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let b(i) = -14*i - 6. Does 39 divide b(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -217*g + 221*g + 16, -4*v - 5*g = -1840. Calculate the least common multiple of 17 and v.\nAnswer: 7905","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 108.0111 - 108. Round j to 3 decimal places.\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: 32 + -18 - (1 - (4 - 12))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is -171\/50 greater than or equal to -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Convert -13 (base 4) to base 13.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 616 minutes after 5:18 AM?\nAnswer: 3:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 7040353 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -213977\/161 - -1329. What is the common denominator of -65\/1449 and u?\nAnswer: 1449","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(p) = 18*p + 5. Let r(z) = -324*z**2 + z. Determine g(r(u)).\nAnswer: -5832*u**2 + 18*u + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Divide -3 by -28685872.\nAnswer: 3\/28685872","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3 - (5 - (3226\/10 + 16\/40)) is divided by 157.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {y: 2, g: 2, a: 1, n: 3, f: 3, e: 1}. Give prob of picking 2 g and 2 y.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 14073\/2980 - 130\/149. Let f = -5\/16279 - -1205061\/1351157. Let p = f - 10693\/1660. Calculate the common denominator of p and i.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence xppb when four letters picked without replacement from pxxppxpxppbxpxpbb.\nAnswer: 3\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1389 is divided by 657?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let r(w) = 6*w**2 - 6*w + 11. Let i(o) = -o + 3. Let d be i(-9). Suppose k - 34 = -d. Let y(p) = -p**2 + p - 2. Give k*y(a) + 4*r(a).\nAnswer: 2*a**2 - 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*s = -245 - 91. Suppose -8*b = -12*b + s. Let z be ((-76)\/b + 6)\/(1\/(-24)). Solve -z = 4*x + 12 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((10\/(-27))\/5)\/((-1)\/(-3))?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -26670, -26660, -26644, -26622, -26594, -26560, -26520?\nAnswer: -26474","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Total of 6490072800 and 0.05.\nAnswer: 6490072800.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*n - 3*h + 6 = n, 2*n - 4*h = 6. Let m = n + 8. Find the common denominator of m + (-471)\/(-36) + -3 and 69\/28.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 13054.\nAnswer: 2, 61, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 1 - -1. Suppose 18*d = d - 2*d. Suppose d = 2*j - 4*n + 8, j + n = -x*j + 16. Solve 0 = 2*f - 2*r - 12 - j, 4*r = -3*f + 3 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(q) = -62*q**2 + 4*q. Let y(j) be the second derivative of j**4\/6 + 127*j + 1. Determine z(y(x)).\nAnswer: -248*x**4 + 8*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: 1 - 1 - (3 + -1 - 2)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 634.8 rounded to the nearest one hundred?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -b - 333 = -5*x - 312, x - 9 = 5*b for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from xxrtttnwzxnr. Give prob of picking 1 r and 1 n.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -37, -3, 0.4, 7, 2501.2?\nAnswer: -37","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 237?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*s - 22 = 6*u - u, 0 = -s + 2*u + 4. Calculate the remainder when 3 + -2 + (38 - 0) is divided by s.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4*h**2 - 2*h**2 + 4*h**2 + 36*h**2.\nAnswer: 34*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 7 + -5. What is the units digit of (-27)\/(-12) - k\/8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 165.8909 years to decades.\nAnswer: 16.58909","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, -511, -0.2, 3 in decreasing order.\nAnswer: 3, -0.2, -4, -511","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 27 a factor of (-417552)\/(-168) - (-10)\/(-7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3 + 8 = a. Suppose 2*n + 2*p - 3*p = 9, 0 = a*n + 3*p + 5. Solve -5*r + 22 = -b, -4*b - 14 = -n*r + 2 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -1736 + 1904. What is the highest common factor of p and 120?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (d**2 + 1 - 1)*(-4*d - 5 + 5) - d**3 + 8*d**3 - 4*d**3.\nAnswer: -d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -3012 - -101200?\nAnswer: 32122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2812804 is divided by 17580.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 191938403 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3826*b - 3826*b - 5*w = 0, -2*w = -b - 7 for b.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 76\/171 - 49\/9?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -2170, -2725, -3280?\n\"Answer: -555*n - 1615","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify s**(2\/13)\/((s**(-1\/10)*s)\/s)*(s**(-1\/5)\/s)**(-5) assuming s is positive.\nAnswer: s**(813\/130)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let n(l) = -7*l. Let i(t) = -t. Let x(h) = -6*i(h) + n(h). Let u be x(-4). What are the prime factors of (u\/6)\/(4\/186)?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -24*v + 25*v - 5 = 0. Let p = 4 - 6. Let y = v - p. What is the units digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(g) = g**3 + 8*g**2 + 6*g - 16. Let t be k(-7). Is t at most 30?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 149 - 58. Suppose 5*y + 104 = -b. Let l = 95 + y. What is the tens digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(v) be the first derivative of 88*v**6\/3 + 4*v**3\/3 - 73*v**2\/2 + 518. What is the third derivative of a(n) wrt n?\nAnswer: 10560*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {y: 10, e: 5, j: 4}. What is prob of sequence ee?\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 2 - 0. Solve -d = 4*s - 18 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-8 - -1)\/(7 - (-48)\/(-6)). Let u be z*6*(-332000)\/12. Round u to the nearest one hundred thousand.\nAnswer: -1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(d) = -d - 2. Let b be h(-7). Suppose 241*i = 237*i + 4. Solve -i - 24 = b*l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 43 divide 29799?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3193*s + 2675*s - 5375*s + (2 - 1 + 1)*(2 - 2*s - 2))*(-3 + 0 + 2)*(3*s - s + s).\nAnswer: -1467*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Convert 3 (base 7) to base 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -30, -59, -88?\nAnswer: -117","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -z + 5*y - 3130 = -5*z, -5*z - 5*y = -3915. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -24*o - 53762567 + 53762567.\nAnswer: -24*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let y(f) = f**3 - 16*f**2 + 14*f + 29. Let d be y(15). Calculate the highest common factor of d and 490.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1006 is divided by 144.\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.000899 to 3 decimal places.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6*u**4 - 80495*u**3\/4 - 1677*u**2\/2 = 0.\nAnswer: -1\/24, 0, 3354","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -j - 4*j. Suppose -a = -j - 4. What is the units digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:45 AM and 12:27 PM?\nAnswer: 402","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 348\/812 - (-18)\/(-91)?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be ((-153)\/(-4))\/(13\/((-3328)\/(-12))). What is the highest common factor of d and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -9, 0.2, 0, 3\/8?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -10 = 4*l - 2*l + 5*q - 2*q + q, 3*q = 0 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 77 + -37. Suppose -o = -5*m - 2*s, 5*m + 4*s = 4 + 46. Suppose n - m = 1. What is the units digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*b = -4*q + 6, -4*q - 9 = -5*b + 8*b for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let x(c) = 181*c. Let n(f) = -338795*f. Determine n(x(g)).\nAnswer: -61321895*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -3*j**2*m*o*s - 4*j**2*o**3*s + j*m*o**3*s + 76*m*o**3*s + 8*m*o**2*s + m*o**2 wrt o.\nAnswer: -24*j**2*s + 6*j*m*s + 456*m*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -5.03 - -0.03. Let m be (-8)\/12 + (-2)\/6. What is the nearest to m in -1, o, -2\/9?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 15172601 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3340*u + 3*u**2 - 3340*u.\nAnswer: 3*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 63 + 2 + -1 + 4 + -2 is divided by 37.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (2*(-182)\/28)\/(-1).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 426 and 16.\nAnswer: 3408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 1884 - 1875. Solve 2*o - c = -4*c + 9, -j = -3*c for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: (5 + -22 - (1 - 2)*10)\/(1\/(-5))\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -0.063 or -14\/9?\nAnswer: -14\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*u = 2 - 42. Let o be u\/14 + (-2)\/7. Let j = -2407.9 + 2408. Which is smaller: o or j?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify i\/(i\/i**(1\/17))*i**(1\/27)*i\/(i**(-1\/26)*i)*i**(2\/15)\/i*i assuming i is positive.\nAnswer: i**(15971\/59670)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let u(w) = -w**3 - w + 5. Let v(p) = -p**3 - p**2 - p + 1. What is u(l) - 2*v(l)?\nAnswer: l**3 + 2*l**2 + l + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let -2*a**2\/5 - 8632*a\/5 - 59934 = 0. Calculate a.\nAnswer: -4281, -35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = a - 2*v - 408 + 125, 0 = -4*a - 4*v + 1084. Suppose w - a = -4*w. Is w a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 2\/(-6) + 1\/3. Let v be 1 + (2 - 1) - -9. Let l be (-4)\/(-10) - (-13)\/5. Solve 5*k = 2*s - 22, g = -l*s + k - 4 + v for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:03 PM and 10:43 PM?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 97432 a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ivaesqv. Give prob of picking 1 s and 1 a.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -2*b**4 + 72250*b**3 - 12*b**2 - 26181222*b wrt b?\nAnswer: -24*b**2 + 433500*b - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -2320199, -2320177, -2320155, -2320133, -2320111, -2320089?\n\"Answer: 22*a - 2320221","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -11 + 22 = -6*q - 7 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let s(k) = -k**2 - 9*k - 4. Let f be s(-8). Suppose -h = -f*h + 78. Let u(m) = 21*m + 2. Let x be u(3). What is the highest common divisor of x and h?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 155 and 93?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-2)\/15*3 - (-3 - (-512)\/160)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -9 + 11. Suppose 3*f = s - 6*s + 74, -c*s + 26 = 3*f. What is the units digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 9 + -6 - (1 + -2). Let z(g) = u*g**2 + 2 - 4 + 2. Let t(b) = b - 76450 + 76450. Determine z(t(w)).\nAnswer: 4*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 3603484.05 rounded to the nearest 10000?\nAnswer: 3600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.01, -2\/11, -12, -4, 92, -1.4 in decreasing order.\nAnswer: 92, 0.01, -2\/11, -1.4, -4, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand (50*s**4 - 50*s**4 - 8*s**5)*(1 + 1 + 4) + (-4*s**3 - 2*s**5 + 4*s**3)*(-1 - 1 + 0)*(-6 - 2 + 5) + 5*s**5 - 3*s**5 - 4*s**5.\nAnswer: -62*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -2721 + 2753. What is the greatest common divisor of s and 208?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 3 and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:14 PM and 4:25 PM?\nAnswer: 71","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*k**3 + 12*k**2 - 9*k.\nAnswer: -3*k*(k - 3)*(k - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 6335848963 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 20, -14, -74, -172, -320, -530, -814?\nAnswer: -1184","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a(i) = 3*i + 1. Let w(q) = -9*q - 3. Suppose 12 = -0*m - 2*m. Let r(k) = -18*k + 1. Let z be r(1). Let f(j) = m*w(j) + z*a(j). Calculate f(-2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 1812 and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*v - 28 = -4*z, 2332*v - 2336*v + 11 = -z. Which is the closest to 306?  (a) -1  (b) 1\/4  (c) 0.1  (d) z\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.4*121111\nAnswer: -48444.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 69 + u + 5698*u**2 + u**3 - 5698*u**2 with respect to u.\nAnswer: 3*u**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1112 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 d(t) = 37*t - 1. Calculate the smallest common multiple of 4 and d(1).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*l - 3*x - 313, 725 = 6*l - l + 4*x. Does 9 divide (95 + -93)*1\/(2\/l)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 23 and 6.3.\nAnswer: 144.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 52 or 54?\nAnswer: 54","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0*a**3 + 2*a**5 + 0*a**3 + (3*a**2 + a**2 - 5*a**2)*(-2*a + 2*a - 2*a**3) + 2*a**5 + 0*a**5 + 1 + 64622*a - 64645*a.\nAnswer: 6*a**5 - 23*a + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1736*b + 521601 - 521601.\nAnswer: 1736*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Find j such that -j**2\/6 + 1\/6 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*j = -323*p + 327*p - 8 + 9, -4*j = 5*p for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let b(v) = v**3 + 2*v**2 - 4*v - 4. Let x be b(-3). Let s = 6 + x. Suppose -s*a = -q - 25, 3*q + 3 - 13 = -2*a. List the prime factors of a.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -68 less than -11?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 498 a factor of 1519083762?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let n(o) = -197*o + 11. Let p be n(-18). Suppose 4*w = -5*s + 3573, 4*s + s - 4*w - p = 0. List the prime factors of s.\nAnswer: 23, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine l so that 0 - l**2 + 3 - 21*l - 2*l**2 + 22 - 1 = 0.\nAnswer: -8, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -517 take away 0.059?\nAnswer: -517.059","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1382*w - 4128*w + 1369*w + 1380*w.\nAnswer: 3*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*b**3 - 142*b**2 + 142*b**2.\nAnswer: -2*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 879 + -878.9. Which is the closest to n?  (a) 8  (b) -1\/7  (c) 0  (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 11985 in -2, 4\/7, 5, 9, 0?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -6 + -351c8d?\nAnswer: -351c95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 235 and 3.\nAnswer: 705","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let x(m) be the first derivative of m**7\/280 - m**6\/180 + m**4\/24 - 5*m**3\/3 + 3. Let q(j) be the third derivative of x(j). Calculate q(-1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-342 - 0)*(-2)\/4. What is the common denominator of 0 + x\/(-24) - -2 and -27\/10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(y) = -16*y - 15. Let q be (-6)\/(1 + (-6)\/10). Let a be f(q). Let w be (-2)\/30*1*a\/90. What is the third biggest value in w, 3, 6\/7?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -10272, -41131, -92570, -164589?\nAnswer: -257188","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h(d) = -18*d - 7. Determine h(3).\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {e: 2, z: 1, m: 1, s: 1}. Give prob of picking 1 s, 1 e, and 1 m.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 31 - 7. Let d = n - 5. Suppose -d*l = -17*l - 38. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -58 - (37 + -79 - -3)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j(k) = -231*k. Let d(v) = v. Calculate j(d(w)).\nAnswer: -231*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 19349.\nAnswer: 11, 1759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 85207 and 14099?\nAnswer: 613","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -17\/28 and -57\/488.\nAnswer: 3416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -h - 1 = 24. Let n(x) = x**3 + 26*x**2 + 23*x + 7. Let b be n(h). Suppose -3*f = 2*q - 171, b = f - 0*q + 4*q. What is the units digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1\/2, 19, 2\/39 in descending order.\nAnswer: 19, 2\/39, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 218*f + 120 = 228*f. What is the smallest common multiple of f and 255?\nAnswer: 1020","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -47*j = -97*j + 56*j, -8*j = a + 4 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -w - 2*c + 7 = 0, -7 = -3*w - 2*c + 3*c. Suppose -3*f + 15 = 0, 2*k - 7*f = -57 - 10. Put w, 0, k in decreasing order.\nAnswer: w, 0, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(p) = p**3 + 23*p**2 + 2*p - 30. Let o be t(-23). Is -76 greater than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 59773544 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 5159 divided by -11.\nAnswer: -469","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2\/5 in 0, -2\/1573, -2, 80, 2\/7?\nAnswer: -2\/1573","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 317*z - 65*z + 1775 + 2670 + 343 for z.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*t + 9 = f, -10*f + 9 = -11*f + 4*t for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 687628.\nAnswer: 2, 103, 1669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -68*z - 3681*z**3 + 7353*z**3 - 69*z - 3681*z**3 + 137*z.\nAnswer: -9*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 189*w = 179974 - 4075642. Which is smaller: w or -20611?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:21 AM and 11:33 AM?\nAnswer: 132","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 11712.\nAnswer: 2, 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (33\/(-6))\/((-2)\/4). Calculate the highest common factor of 55 and f.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -6*k - 2*k**2 + 8*k + 2 - 13*k**4 - 29*k**3 + 33*k**3 to o*k**2 + f*k**3 + p*k + g*k**4 + d and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -k = k - 12. Suppose 8*y - k*y - 116 = 0. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(c) = -5*c**3 - 11*c**2 - 4*c + 1. Let r be p(-9). Let d = 4053 - r. List the prime factors of (-20)\/100 + d\/10.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 11*c + 4 - 15 = 0 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -2 + 1010212222?\nAnswer: 1010212220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let j(k) = k**3 + 14*k**2 - 8. Determine j(-14).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 0.9 - 1. Let t = -0.144 - -0.095. Let y = 2.951 - t. Which is the nearest to 1?  (a) 4  (b) z  (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -6 - -2. Let k(c) = -17*c + 8. Let q(l) = -26*l + 13. Let i(r) = 8*k(r) - 5*q(r). Let y(s) = 4*s + 1 - 2*s + 3*s. What is n*i(j) - 5*y(j)?\nAnswer: -j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let w(u) = u**2 - u + 4. Let g(s) = s**2. Let z = -237 - -235. What is z*g(y) + w(y)?\nAnswer: -y**2 - y + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Determine d, given that -4*d**2\/3 + 1520*d\/3 - 144400\/3 = 0.\nAnswer: 190","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2\/5?  (a) 0.5  (b) -3  (c) -0.5  (d) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let k(l) = -3*l**3 - l**2 + 7*l - 5. Is k(-4) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -28, -53, -78?\n\"Answer: -25*g - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-266316)\/9 - (-3)\/(-9). Let y = 19030 - 8439. Let d = c + y. What is d rounded to the nearest ten thousand?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 12 a factor of 126552?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let j(c) = 11*c**4 - 3*c**3 + 6*c**2 + 259. Let p(v) = v**4 - 4*v**3 + v**2. Let m(z) = -j(z) + 6*p(z). What is the first derivative of m(r) wrt r?\nAnswer: -20*r**3 - 63*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 55452493 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 53\/72 and -4\/15.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let i(d) = -d**2 + 11*d + 16. What is i(12)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let y(j) = -j**3 - 66*j**2 - 147*j - 1316. Determine y(-64).\nAnswer: -100","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: 11 (base 2) to base 7\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d(s) = -s**3 - 8*s**2 - s - 10. Suppose -2*b - 13 = v, -b - 14*v - 17 = -17*v. Determine d(b).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (w + w**2 - w)*(-w + 3*w - w) + 2*w**3 + 2*w**3 + 23*w - 3*w**3 + (2*w - 2*w - 2*w)*(1 - w**2 - 1).\nAnswer: 4*w**3 + 23*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 6 in 7, -1, 56, -3?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Find a, given that -2*a**4\/11 - 22068*a**3\/11 + 1867824*a**2\/11 = 0.\nAnswer: -11118, 0, 84","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let f(r) = 200*r**2 + 4*r - 3. Let o be f(2). Let t be 4 + ((-696)\/(-6) - (7 - 2)). Calculate the highest common divisor of o and t.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find i such that 5*i**3 - 35*i**2 + 50*i = 0.\nAnswer: 0, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let w(o) = o**3 + 7*o**2 - 21*o - 13. Let u be w(-9). Suppose 3*f = 5 - 2. Let g be 1\/(2*f\/42). Calculate the highest common divisor of u and g.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2 = o + 2. Let g(k) = -5*k - 4. Let h be g(o). Suppose 140 = 4*r + h. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 338436553 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: Is 69255 a multiple of 513?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -a - 5*h = 14, -5*h - 6 + 10 = 4*a for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in one fifth of a microgram?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -42, -80, -118?\nAnswer: -156","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*g - 426 = -2046. What is the units digit of g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 5 + ((-4 + 22)\/(-6) - 4). Put -1, o, 57 in increasing order.\nAnswer: o, -1, 57","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 2162\/97 or 22?\nAnswer: 2162\/97","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let p(r) = 6*r**2. Let f = 573 + -591. Let d(n) = -29*n**2 - 9*n - 9. Let v(t) = -t**2 + t + 1. Let w(j) = f*v(j) - 2*d(j). Calculate w(p(k)).\nAnswer: 2736*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-2)\/(-3))\/((-2)\/84*-7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, -8890, -12, -30 in increasing order.\nAnswer: -8890, -30, -12, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let w(t) = t**2 - 6*t + 12. Let k be w(4). Let d(h) = -28 - k*h + 28. Let s(g) = 152*g - 48. Let j(v) = -16*v + 5. Let u(y) = 48*j(y) + 5*s(y). What is u(d(b))?\nAnswer: 32*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 10588 and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Divide -16 by -167.\nAnswer: 16\/167","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 989 a factor of 71487887?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 793*c**2 + 3 + 798*c**2 - 2368*c**2 + 779*c**2 - 3.\nAnswer: 2*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: 18\/(7 - (-2 + -1)\/(316\/11 + -29))\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 98\/35 - 1\/(-5). Let a = r - -5. Calculate the remainder when 21 is divided by a.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (3 - 4) + 1 + -12. Let q be 1\/6 + (-46)\/v. Solve -f - 1 - 3 = 2*x, q = -f - 4*x for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {y: 6, q: 2, t: 1, h: 2, m: 7}. Give prob of picking 1 q and 1 t.\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let h(t) = t**3 - 4*t**2 + 6*t - 6. Let r(d) = d**3 - 3*d**2 + 7*d - 5. Let l(n) = 4*h(n) - 3*r(n). What is l(7)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 10 + 2 + -8 + -6. Let j(b) = -168*b + 12. Let n be j(o). What is the highest common divisor of n and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 193912, 193909, 193920, 193951, 194008, 194097?\nAnswer: 194224","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 2571196 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let g(m) = -11*m**3 + m**2 + 2*m + 1. Let s be g(-1). Suppose 133*f - 863 - 691 = -89*f. Is f at most as big as s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (3 + (-20)\/8)*0. Let k be -1 + -1 - 7\/(-1). Suppose 75 = k*j - 6*m + m, i = j - 4*m. List the prime factors of j.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -s + 90 = 90. Let a be ((-20)\/(-15))\/(4\/6). What is the third derivative of s*f**a - 2*f**2 - 10*f**3 - 8*f**3 - 7*f**2 wrt f?\nAnswer: -108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*g = -34*a + 30*a + 2880, -2*g - 8 = 0. Calculate the remainder when a is divided by 20.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1303686 to the nearest integer?\nAnswer: 1142","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1 in -1\/7, 1\/6, 25, 7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let n(a) = 3*a**2. Let w(x) = 12 - x - 2 + 4*x**2 + 7*x - 4. Let y(u) = 4*u**2 + 7*u + 7. Let v(b) = 7*w(b) - 6*y(b). Determine n(v(d)).\nAnswer: 48*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let a(v) = -v**3 - 3*v**2 + 3*v + 10. Let r be a(-8). Let o = r - 151. Suppose -5*m + 2*m = 4*x - o, 3*m = -2*x + 151. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -21212, -21215, -21226, -21251, -21296, -21367?\n\"Answer: -x**3 + 2*x**2 - 2*x - 21211","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 21877923?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 0*h**4 - 2*h**3 + h + 7*h**4 - 8*h**4 - h**2 + 5*h**4 to a*h**2 + b + r*h + m*h**3 + i*h**4 and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: 1 + 8 + 2 + -12 + 4\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find v such that 4*v**5\/7 + 12524*v**4\/7 + 25012*v**3\/7 - 62604*v**2\/7 - 10728*v = 0.\nAnswer: -3129, -3, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 66337 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*q - 10*q - 2*q)*(-q + 4*q - 4*q)*(4 - 24 - 10)*(q**2 - 2*q**2 + 0*q**2).\nAnswer: 450*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 3*6\/27*((-56)\/798)\/(44\/(-99))?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -1501 (base 11) to base 5\nAnswer: -30222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (68\/442)\/(3\/(-156)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 88\/11*11\/44. Solve -w*i + 4 = -l + 3*l, -5 = -3*i - 2*l for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -3 + (0 - (-4 - -10)) + -11 + -11?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -18040796 + -1.61.\nAnswer: -18040797.61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (2838\/215 + -13)\/(4570\/1525 - 3).\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0?  (a) 1  (b) 22  (c) -1\/3  (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 1\/4  (b) -102551  (c) -3131  (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from jppjpjjjpqvjpjjj. What is prob of picking 1 v, 1 q, and 2 j?\nAnswer: 9\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*y + 3*m - 1340, -184*m = -4*y - 189*m + 1340. What is the least common multiple of 536 and y?\nAnswer: 2680","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 0, 4, 3, -3490, -13 in decreasing order.\nAnswer: 4, 3, 0, -13, -3490","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -360758420\/13 or -27750647?\nAnswer: -27750647","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -29 or 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -2583, -2522, -2303, -1848, -1079, 82?\n\"Answer: 13*p**3 + p**2 - 33*p - 2564","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 681*p = 19309 - 77875 for p.\nAnswer: -86","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2\/3?  (a) 5  (b) -1\/2  (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 501229 bigger than 501230?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 75922, 75916, 75908, 75898, 75886, 75872, 75856?\nAnswer: 75838","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((v**(-1\/2))**(1\/76)\/(v**2\/v**(3\/7)))**8)**(2\/29) assuming v is positive.\nAnswer: v**(-3358\/3857)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 183 and 139840426?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -183 + 2925\/16. Let g = -73\/26 + 72\/13. What is the common denominator of a and g?\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(f) = -f**2 - 8*f - 3. Let t be q(-6). Suppose -67 - 374 = -t*a. What is the tens digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(j) = -j**2 + 12*j - 20. Let x be l(10). Which is the third smallest value?  (a) 1\/2  (b) x  (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*h = -h - 25. Let g = h - 2. Suppose v + 3*z + 68 = 194, -z = -g*v + 328. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -6 - -32. Let l(r) = -r + 12. Let g be l(10). Suppose g*q + 0*q - n = 0. Calculate the greatest common factor of 117 and q.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 81, 73, 61, 45, 25, 1, -27?\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 2 - 5\/(5\/(-8)). Let j = 16 - v. Calculate the remainder when (20\/1 - -2) + 1 + -2 is divided by j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-35 - (5 + -13) - 6) + 11.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: (-502 - -489) + 46\/3\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Determine k so that -k**4\/5 + 75021*k**3\/2 - 1125301*k**2\/10 + 375099*k\/5 = 0.\nAnswer: 0, 1, 2, 375099\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, 5, -2, 16 in decreasing order.\nAnswer: 16, 5, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-16)\/(-22) + 153 + (-754060)\/4884.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -199405792 - -635913689. Let l = m + -436507894.79999979. Let j = l + -2.2. Round j to 7 decimal places.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 11304.\nAnswer: 2, 3, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-18)\/15 + (-1)\/(-5). Let g = -2 - -1.9. Which is the biggest value?  (a) d  (b) g  (c) -4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -12*p = 4*x - 24, -7*x + 4*x + 534 = 5*p + 520 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 933 - 684.9. Let r = l + -237. Let i = 11.009 - r. Round i to two dps.\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Do 1 and -18603.7 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 2\/1091, 0.2, -0.1, -22, 5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 1603 and 0.0384.\nAnswer: 61.5552","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-90)\/165)\/((-16)\/11)?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from mwt. Give prob of picking 1 t and 1 w.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let r(k) = 12*k - 98. Does 7 divide r(15)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 1\/5, 5, -1\/2, 0.5, 0.04884?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 12 = -25*u + 21*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -h = 5*u - 73, -5*u + 489 - 434 = -5*h for u.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: -1 + 20341\nAnswer: 20340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let c(a) = 10*a. Let h(k) be the second derivative of k**3\/6 - 14*k. What is c(h(l))?\nAnswer: 10*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 4919505521 to the nearest integer?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 687.\nAnswer: 3, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: 29324422 * -0.03\nAnswer: -879732.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: ((-318)\/4)\/(-1)*-10*185\/2775\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*r = -35 - 91. Suppose 0 = u - 2*n - r - 19, 8 = -2*n. Calculate the common denominator of u and 76\/3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -783*m**4 - 270*m**2 + 136*m**2 + 49*m - 47*m + 139*m**2 as i*m + j*m**3 + z*m**2 + d*m**4 + l and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*x + 18 = -3*r, -2*r - 30 = 3*r - 3*x. Let b = 37 - 52. List the prime factors of (r\/(-10))\/((-3)\/b).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-4 + 3 + 3)*(-7*n**2 + n**2 + n**2)*(1 + 4 - 1) to the form i*n + w*n**2 + y and give w.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Convert -3 (base 8) to base 6.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 11 - 3. Let p = 1.4 + 6.7. Let a = p - f. Which is greater: a or -0.1?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 6942 + -270718\/39. What is the second smallest value in f, -7\/4, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -221 + 220. Which is greater: v or -1\/26?\nAnswer: -1\/26","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: 52\/(-39)*(-24)\/128\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*d - 44 = -28. Suppose -z + 3*h = 8*h - d, z + 2*h = 5. What is the third derivative of -2 + 6*o**2 - o**6 + 2 - z*o**2 wrt o?\nAnswer: -120*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1112 (base 3) to base 4.\nAnswer: -221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -48*d = -35*d - 18460. List the prime factors of d.\nAnswer: 2, 5, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 509, 2148, 4917, 8810, 13821, 19944?\nAnswer: 27173","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o(g) = -80. Let z(d) = d + 1. Give -o(r) - z(r).\nAnswer: -r + 79","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*g + 2*j + 3*j - 107, 3*g = -5*j - 54. Let w = -21 - g. Put w, 4, 1 in decreasing order.\nAnswer: 4, w, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4658 to the power of 1\/2, to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 396 is divided by 40?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let r(q) = -q**3 - q**2 - q - 1. Calculate r(-3).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let z(l) = 29*l**3 - 2*l**2 + l - 2. Let m be z(2). Let x be ((-612)\/16)\/(-6*2\/m). Calculate the highest common divisor of 42 and x.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4*u**3 + 200*u - 3*u**3 - 200*u.\nAnswer: u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is -2919 divided by 3?\nAnswer: -973","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 20781 to the nearest integer?\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let o(h) = -2175*h. Let u(j) = 5*j + 60. Calculate o(u(w)).\nAnswer: -10875*w - 130500","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 33 a factor of 383?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let t(f) be the first derivative of -1 - 3\/2*f**2 + 6*f. Let y(h) = -34*h - 233. Let j be y(-7). Give t(j).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2215005 divided by -4605.\nAnswer: -481","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, -1, 4, 3, 39, -3\/10.\nAnswer: -1, -3\/10, 1, 3, 4, 39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let w(q) = q**2 - 3*q + 1. Let f be w(1). Is f\/(-3) - 47\/(-3) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*k - 5*k = 1100. What are the prime factors of k\/30*6\/(-4)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 4936*j**5 + 2*j**4 - 5870*j**2 - 354105945*j.\nAnswer: 98720*j**3 + 24*j**2 - 11740","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 205?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-184)\/12 - (-2)\/(-4)*-2. Do -15 and a have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 400, 799, 1198, 1597?\nAnswer: 1996","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 8 - 5. Suppose n*m - 9 = z + 25, -5*z = -3*m + 38. Let c(d) = 502*d - 498. Calculate the lowest common multiple of m and c(1).\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -2\/9  (b) -2  (c) -554  (d) -3  (e) 1\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 0 + (-14)\/(-63)*9. Solve -x + 20 = 5*w, g*x + 2*w + 2*w = 10 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -473 + 443. Let z be (-12)\/(-2)*10\/b. Put -4, z, -3, 6 in decreasing order.\nAnswer: 6, z, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 2870 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*t - 3*a = 3, 0 = 11*t - 9*t - 5*a - 17 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let l(t) be the first derivative of 2*t**3\/3 - 9*t**2\/2 + 6*t + 1. Let i = -9 - -15. Is 13 a factor of l(i)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from unuuuuuunuuu. What is prob of picking 2 n and 1 u?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 2295\/(-351)*2067\/(-265)?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 42 = 4*h - 34. Suppose -3*i - 10 + h = 0. Sort -1, -2, i in increasing order.\nAnswer: -2, -1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(j) = 4*j - 2. Suppose 24*g = -t + 23*g, -12 = -t - 5*g. Let q be 4\/(-6)*-1*3. Let h(u) = 5 - 2*u - 4 + q - 5*u. Give t*h(x) - 5*l(x).\nAnswer: x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Round -29118200 to the nearest one million.\nAnswer: -29000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 1510 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 3616592?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Work out -34766875 + -143875.\nAnswer: -34910750","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 10010.\nAnswer: 2, 5, 7, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -33*o**3\/8 + 9*o**2\/2 = 0. What is o?\nAnswer: 0, 12\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 5 + -3. Solve -8 = -2*u, -t*u + 7*u - 25 = -l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -140.1226 rounded to the nearest ten?\nAnswer: -140","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*y**4 + 2 - 2)*(-2 + 2 + 2)*(6*y + 5 - 5).\nAnswer: -24*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 44\/832415 and -87\/9160?\nAnswer: 6659320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 0 + 0. Suppose 0 = -x*i - 4*i - 4. Let p = 1060 - 1060. Which is the biggest value?  (a) p  (b) -0.4  (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -4 + 5333251?\nAnswer: 5333244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in 15\/8 of a kilogram?\nAnswer: 1875","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 342 + 13?\nAnswer: 355","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5*((sqrt(500) - (1*sqrt(500) + sqrt(500))**2) + -1 - sqrt(500)) - (3 + sqrt(450)\/(sqrt(10)*-3)))*2.\nAnswer: -20016 + 2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: 4*(-10)\/4*140\/700*-2*-24\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: (231\/(-84))\/(5\/(-20))\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -0.1 * -31187\nAnswer: 3118.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -12*z - 5*z + 16*z + 100. Solve -59*x = 136 + z for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(w) = w**3 + 16*w**2 - w - 8. Determine x(-16).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) 2  (b) -0.5  (c) -0.2  (d) 9  (e) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 277 = 3*c + 52. Suppose 11*w - 14*w + c = 0. List the prime factors of w.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 116001856?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -125\/61128 and -37\/29208.\nAnswer: 74392776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l**(-11)\/l*l*l*l**(-6\/5))**(2\/13) assuming l is positive.\nAnswer: l**(-112\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2\/3, -6.3, 5, 1\/7.\nAnswer: -6.3, 1\/7, 2\/3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -u + 120 = 4*g - 6*g, u - 120 = -4*g. Let t = -40 + u. Let l = t + -402\/5. What is the closest to 0 in l, -4, -2?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -1154, -8691, -28996, -68453, -133446, -230359, -365576?\n\"Answer: -1064*v**3 - 89*v - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 23 - 21. Let d = -5 + y. What is the closest to -1 in d, 3, 4\/7?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(h) = -h**3 - h**2 + 2*h + 297. Let m be u(0). Let q(l) = -l + 19. Suppose 17*v = -176 + 40. Let g be q(v). What is the highest common divisor of m and g?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(c) = -5131*c - 35915. What is v(-7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {i: 1, o: 1, c: 1, v: 2, f: 2, s: 1}. What is prob of picking 1 v and 1 s?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 9*b**6*r**2 + b**5*r**3 - 2*b**2*r + 2*b - 26*r**3 wrt b.\nAnswer: 1080*b**3*r**2 + 60*b**2*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -115 - -115.5. What is the third smallest value in l, 1\/10, -1.1, 1?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(y) be the second derivative of y**3\/6 + 9*y**2 - 125*y. Let p be h(-12). Which is the nearest to -0.1?  (a) p  (b) 7  (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 926753 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 7614 and 54401654?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 72 - 16. Calculate the highest common factor of w and 32.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(u) = 2*u**3 - 558*u**2 - 3416*u - 1295. Give k(285).\nAnswer: -155","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 1\/(2\/(150\/(-3))). Let a be (-2 + (-80)\/k)\/(2\/45). Suppose a*g = 20*g + 560. Does 15 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: 20\/50*((-10)\/12)\/1\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1699*a**2 - 585*a**2 - 591*a**2 - 524*a**2.\nAnswer: -a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 0 - 1. Suppose -326 = -26*i - 170. Sort 5, 2, i, d in decreasing order.\nAnswer: i, 5, 2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 4.03 + 721412.\nAnswer: 721416.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 3633332?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (2\/(-10))\/(7\/(-35)). Suppose -5 - t = d - 3*q, 5*d - 3*q - 18 = 0. Suppose 0 = 2*l + 4*m - d, 3*l + 5*m = 3*m - 3. Put l, -1, 0 in increasing order.\nAnswer: l, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 141 - 84. Let r be (-4)\/6*(-2 + -1). Suppose -r*s + l = 17. List the prime factors of s.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -25*q + 22*q + 1068 = 0. Let w = 4 + q. List the prime factors of w.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(a) = 52*a**2 - 1918852*a. Let i(p) = -3*p. Give i(c(m)).\nAnswer: -156*m**2 + 5756556*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -18*f + 13*f = 3*j - 565, -f + 85 = -5*j. Let n = -3 + 6. Suppose 5*t - f = -n*h, h - 56 = -h + t. What is the highest common factor of 12 and h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*b - b = 0. Suppose 2*t - 2 = -b*t. Suppose l = -6 + t. Let f(q) = -q**2 + 5. Let o(g) = 2*g**2 - 12. Give l*o(c) - 12*f(c).\nAnswer: 2*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let n(c) = 165*c - 169. Let w(p) = -4*p + 1. Let i(m) = n(m) + 4*w(m). Differentiate i(j) wrt j.\nAnswer: 149","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(k) be the second derivative of k**6\/90 + k**5\/20 - 43*k**4\/12 - 40*k. Let f(i) be the third derivative of t(i). Determine f(-4).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.09487 times 32.12\nAnswer: -3.0472244","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -25054 + 48258. What is the ten thousands digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 33530769?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 6428613?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 2\/((-44)\/5)*535248\/(-95580)?\nAnswer: 14\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -209*z + 76*z + 566 + 1296 for z.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -17 - 3 = -4*q. Suppose -v = -q*p - 5, -5*v - 39 + 127 = -4*p. Suppose 0 = -5*c + 4*s + v, 4*s + 15 = 4*c + s. What is the smallest value in c, -5, 1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -89.08, -0.3, 2, 4\/3, 7, -0.28?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 15 - -5. Let y be t\/(-8)*(-132)\/10. Solve -v = 3*c + 17, c = 5*v + 3*c + y for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be ((-1)\/(-10))\/(2\/4). Let h be (-4)\/7 - 4\/(-7). Find d, given that k*d**3 + 2\/5*d**2 + h + 1\/5*d = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -6, 0.2, -0.2, 4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let s(q) = q**3 + 8*q**2 - 6. Let f be s(-7). Find the common denominator of f\/22 - (-15 + 18) and 49\/8.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5 (base 12) in base 16?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from dqcccjdct. Give prob of sequence td.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: -34588 divided by 73\nAnswer: -34588\/73","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 22207.\nAnswer: 53, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let t(c) = -c**2 + 9*c - 5. Suppose -4 + 0 = -2*u. Suppose -16 = -u*p - 2*p. What is the units digit of t(p)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 315, 623, 931, 1239?\n\"Answer: 308*i + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*l = 2*q - 24, 6*q - 5*q - 3 = l for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 19 + -18. Let o be 7\/1 + (w - 4). Suppose o*k = 223 + 89. Calculate the highest common factor of k and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 1558 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.196353 microseconds to milliseconds.\nAnswer: 0.000196353","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 71271857 to the nearest integer?\nAnswer: 8442","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 580194 and 1728?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2 = 4*i - 14. Suppose i*q - 12 + 4 = 0. Solve 0 = -2*m + 2*a - 4, 3*a - q = 4*m + 5 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 965248191?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*sqrt(27)\/sqrt(3)*-4)\/(3*sqrt(75) - (sqrt(432)*1 - sqrt(432))).\nAnswer: -8*sqrt(3)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 152, -1, 0.4, 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 14 a factor of 2828?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1 in 2\/11, -0.4, -2\/9, 2\/3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from zldlbqbmd. What is prob of picking 2 l, 1 q, and 1 z?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is -15210 rounded to the nearest ten thousand?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*w + w + 4*p = -7, 5 = -5*p. Suppose d - w = 13. What is the highest common factor of 24 and d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(g) be the third derivative of g**5\/240 - 5*g**4\/96 - g**3\/4 + 188*g**2. Suppose r(m) = 0. Calculate m.\nAnswer: -1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 332 minutes after 8:34 AM?\nAnswer: 2:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: 1020257 (base 9) to base 3\nAnswer: 1000200021221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z(n) = -n**2 - 6*n - 3. Suppose 2*r + 3*r = -25. What are the prime factors of z(r)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.26891868 to 2 dps.\nAnswer: -0.27","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 71734 and 515125.\nAnswer: 2842459750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*y = 5*y - 8. Suppose -l + y = -0*l. Suppose 2*i - l = 6. Solve 0 = 8*q - 3*q + i for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 1021011211 - 11?\nAnswer: 1021011200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {m: 4, n: 6, a: 5}. Give prob of sequence ammn.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let n(v) = 305*v - 3619. Let c be n(12). Solve -c + 50 = -3*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 389*p = 3513 + 2322 for p.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:40 AM and 9:43 AM?\nAnswer: 243","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.114137349 + 0.199?\nAnswer: 0.313137349","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y**13*y*y\/(y**(-1\/27)\/y))\/((y\/(y*y**17))\/((y*y*y**(3\/11))\/y*y)) assuming y is positive.\nAnswer: y**(10487\/297)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(352) - (sqrt(352) - 5*sqrt(352)))\/sqrt(8))\/(sqrt(100)*5).\nAnswer: sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 68862, 68858, 68854, 68850?\nAnswer: 68846","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert -4125 (base 6) to base 12.\nAnswer: -645","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n(v) = v**3 + 6*v**2 + 5*v - 3. Let l be n(-3). List the prime factors of 3\/l - (-1)\/(6\/118).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-33)\/264)\/(40\/1216)?\nAnswer: -19\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f(g) be the second derivative of g**7\/42 - g**6\/15 - 9*g**5\/10 - 8*g**4\/3 - 23*g**3\/6 - 3*g**2 - 11*g + 4. Factor f(m).\nAnswer: (m - 6)*(m + 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 8636740 to the power of 1\/2, to the nearest integer?\nAnswer: 2939","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let f(w) be the first derivative of -5*w**2\/2 + 2*w - 7. Let g(d) = 14*d - 5. Give 8*f(j) + 3*g(j).\nAnswer: 2*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Convert caa31 (base 13) to base 14.\nAnswer: 9777a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w(a) be the third derivative of 11*a**7\/30 - a**4\/12 - 13*a**3\/2 + 4*a**2 + 5. Find the second derivative of w(o) wrt o.\nAnswer: 924*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k**(16\/7)\/k)\/k*k**(2\/27)*(k\/(k\/(k\/k**(-2\/49))*k))**3 assuming k is positive.\nAnswer: k**(638\/1323)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -47141\/6 + 7834. What is the common denominator of -12 + ((-908)\/(-1589) - 1*(-2810)\/252) and c?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(65)*-2 + sqrt(65))*-5 - sqrt(65) - sqrt(65) - sqrt(65) - -1*sqrt(65)*3)\/(sqrt(15)\/(sqrt(48) + sqrt(3072) + sqrt(48))).\nAnswer: 200*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0*-1070.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let g be ((-6)\/10)\/(12\/(-60)). Let z(o) = -o**2 + 4. Determine z(g).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:34 PM and 4:37 PM?\nAnswer: 243","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in 33\/5 of a centimeter?\nAnswer: 66000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 1112328018 to the power of 1\/10, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let m(h) = h**2 + 5*h - 3. Let u(w) = -w**3 - 3*w**2 + w - 2. Let g be u(-3). Let q be m(g). What is the units digit of (-1 + 10)*(-2)\/q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 3345 and 35457.\nAnswer: 669","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Find q, given that 3282\/7*q + 1086\/7*q**3 + 1095\/7 + 468*q**2 - 3\/7*q**4 = 0.\nAnswer: -1, 365","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 3?  (a) -45  (b) 1  (c) -2  (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 775, 363, -369, -1427, -2817?\nAnswer: -4545","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p(c) = 1158*c**2 + 21*c - 54. Let j(a) = -386*a**2 - 6*a + 16. What is 7*j(x) + 2*p(x)?\nAnswer: -386*x**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let n(p) = -58*p + 1913. Calculate n(33).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is -1196 - -1.398?\nAnswer: -1194.602","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 42191 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -2850, -6319, -10592, -15675, -21574, -28295?\nAnswer: -35844","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1067796.\nAnswer: 2, 3, 9887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -22, -50, -92, -154, -242, -362, -520?\nAnswer: -722","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 e and 1 s when four letters picked without replacement from {d: 5, u: 2, e: 7, s: 5}?\nAnswer: 175\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 12754*w**2 - 12767*w**2 - 12*w + 5 - 3 to the form t + y*w**2 + r*w and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 563037, 1125995, 1688953, 2251911, 2814869?\nAnswer: 3377827","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 634 is divided by 53.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: 0.26392754457 - 5\nAnswer: -4.73607245543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 1d8 - 54640?\nAnswer: -54457","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*y - 1 = 4*c, -3*y + 4 = -c + 2. Let b(z) = -58*z - 1. Calculate b(c).\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-12)\/(-8)*-4 - (318\/(-36) + 3). What is the third biggest value in -3\/7, -0.04, r, 1?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(h) = 5*h**3 - 4*h**2 - 6*h + 4. Let u = 152 - 97. Suppose 11*m + u = 11. Let p(a) = 2 + 14*a**3 + 9 - 4*a**2 - 7*a**2 - 17*a. Calculate m*p(f) + 11*c(f).\nAnswer: -f**3 + 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 6 + (1 - (8 + (4 + -20 + -10 - -7))).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v(w) = 12*w + 1336. What is v(-110)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -25 - -25. Let y(n) = -n**2 - n + 8. Calculate y(z).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 32520580?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let k(l) be the first derivative of -2*l**5\/35 - l**4\/14 + 4*l**3\/21 + 12. Solve k(y) = 0 for y.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -20750114, -41500241, -62250368, -83000495?\nAnswer: -103750622","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (3\/(-6))\/(6\/(-4)). What is the nearest to h in 3, -0.3, 5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -592 = 5*q - 2*m, -2*m - 2*m = -4*q - 476. Let k = -67 - q. Let j = 56 - k. Solve -3*u = -j*u + 5*g + 10, -u - 4*g - 21 = 0 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in -2\/11, 6\/55, -0.2, -3\/5, 1\/37?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*a = -2, -j + 2*a = 3 - 7. Let z be 0\/(-1) - 1\/(-1). Suppose -22*q + 101 = -9. Put j, z, q in descending order.\nAnswer: q, j, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2 = 2*j + 4. Let f be (-1)\/j*(44\/4 - 3). Solve f = 2*s - 0 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(j) = 2*j. Let i(d) = 32*d**2 - 2*d - 4. Let k(l) = -2*l**2 + l + 2. Let u(o) = -i(o) - 2*k(o). Give u(r(q)).\nAnswer: -112*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 178 + -174. Suppose -4*j = 3*u + 729, -c*u + 3*j = 6*j + 972. Which is greater: -244 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5 a factor of 2435?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 5249625*f**2*v**2 - 2*f**2*v + 6202*f**2 + f*v + v - 3 wrt v?\nAnswer: 10499250*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let s(b) be the third derivative of -b**6\/240 - 43*b**5\/120 - 83*b**4\/48 - 41*b**3\/12 + 311*b**2. Factor s(a).\nAnswer: -(a + 1)**2*(a + 41)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -103988 = -1970*z + 31942 for z.\nAnswer: 69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1338 is divided by 17?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k**(-7)\/(k\/k**(-1\/17)))\/(k**37\/(k\/(((k**1*k)\/k)\/k))) assuming k is positive.\nAnswer: k**(-749\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -0.1 + 0.06. Let m = -0.0505 + 0.3505. What is the second smallest value in m, k, 2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -x - 40 = -45. Let a be (-4)\/x + (-8)\/(-10). Solve a*u + 4*u - 8 = 0 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1 in 22.3, -4, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Express (4*i**3 - 6*i**3 - 2*i**3)*(0*i + 3*i + 28*i) + (i**3 - 3 + 3)*(-i + 0*i - 3*i) as j*i**3 + a*i + s*i**2 + l + u*i**4 and give u.\nAnswer: -128","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -15.56 - -17. Let n = -10.87 - 0.99. Let r = t - n. Round r to 0 dps.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(c) = c**3 + 35*c**2 - 870*c - 176. Calculate o(17).\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let q(s) = -s**3 - 24*s**2 + 23. Let a be q(-24). Calculate the greatest common factor of 161 and a.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 2\/7  (b) -3\/4  (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let s(a) = -4*a - 11. Let j(w) = -w - 1. Let f(t) = 3*j(t) - s(t). What is the least common multiple of f(-6) and (15\/6)\/(2\/4)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 28 divide 15148?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-228 + 228 - 42*y)*(0 + 2 - 7).\nAnswer: 210*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 4631, 9262, 13893?\n\"Answer: 4631*y","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*p**4\/7 + 8*p**3 + 480*p**2\/7 + 1152*p\/7.\nAnswer: 2*p*(p + 4)*(p + 12)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*h - 3*c = -32, -h + c + 1 = -0. Suppose h*l = 7*l + 34. Let k = l - -26. Calculate the remainder when 17 is divided by k.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 367*k**3 + 1476*k**2 + 995837*k wrt k.\nAnswer: 2202*k + 2952","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*j - 87917 - 22583 = t, 35 = -5*t. What are the prime factors of j?\nAnswer: 3, 12277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7*b = 4*c - 3*b + 16, -1 = -b for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1\/11, -162, 0, 1\/6, 0.5 in descending order.\nAnswer: 0.5, 1\/6, 0, -1\/11, -162","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*i**5 + 676*i**4 - 1340*i**3 + 668*i**2.\nAnswer: -4*i**2*(i - 167)*(i - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 7797 and 3.\nAnswer: 23391","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 49 minutes before 1:03 PM?\nAnswer: 12:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 12 and 10?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 3\/25 of a litre?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(56)\/(-4*sqrt(40)\/sqrt(5)).\nAnswer: -sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -8281\/3 - -2674. Let h = -87 - y. Let d = 257\/1197 + 1\/133. Which is the smallest value?  (a) -2\/9  (b) h  (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -135*c**4\/2 + 1083*c**3\/2 - 9*c**2 - 24*c = 0. Calculate c.\nAnswer: -1\/5, 0, 2\/9, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let p(d) = d + 6. Let l = -52 - -50. Let x be p(l). Find the third derivative of -15*y**4 + y**x - 14*y**2 + 10*y**4 wrt y.\nAnswer: -96*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 17832848927 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 7314 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 125*w - 115*w - 3520 = 0. Let p be ((-2288)\/w)\/(10\/(-8) - -1). Calculate the highest common divisor of 117 and p.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -3.002 in 4\/7, 9, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many micrograms are there in 21\/5 of a milligram?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 15*f - 54 + 13*f - 7*f wrt f.\nAnswer: 21","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -516 - -83. Let x = -429 - v. What is the biggest value in 0.1, 1\/3, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.3, -9\/67, 63, -0.5, -2, 2, 4 in descending order.\nAnswer: 63, 4, 2, 0.3, -9\/67, -0.5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 1042, -1\/7, -0.3, -0.4?\nAnswer: 1042","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*u = 4*d - 6, 2*d + 0 = -3*u + 6. Suppose 5*a - 2*a - 81 = 0. Suppose -3*y + a = -d*y. What is the units digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 4 + 52?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -74*f**3 - 59*f**3 + 135*f**3.\nAnswer: 2*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 16074296333 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 13 - (-25 - -15 - (-55 + (-5 - -1))).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:19 PM and 12:21 AM?\nAnswer: 482","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Express 859*h - 1840*h + 18661*h**2 + 981*h in the form s*h**2 + b + u*h and give s.\nAnswer: 18661","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*v + 20*n + 140 = -17*v + 12*v, 5*v + 4 = -2*n for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let d(r) be the first derivative of -r**5\/20 + r**4\/4 + 14. Factor d(v).\nAnswer: -v**3*(v - 4)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(d) = -d + 1. Suppose 6*f - 2*f - 4 = 0. Let l(j) = -9*j + 6. Let o(q) = f*l(q) - 6*b(q). Let h(s) = -3*s + s + 6*s - 5*s. Determine o(h(m)).\nAnswer: 3*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 463759814?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let q(o) = -o + 5. Let l be q(5). Suppose 2*b - 3 - 1 = l. Is (-79*2\/b)\/(-1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -14 - -17. Suppose 102 = h + d + 14, -u*h - 4*d + 259 = 0. Is 31 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(t) = -2*t**2 - 26*t + 2. Let z be p(-12). Suppose -a + z = j + 3*a, j = -5*a + 24. Suppose 10*v = 24 - j. Is v bigger than -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be -4 + (3328\/(-24))\/((-2)\/(-9)). Calculate the common denominator of 75\/8 and (-1748)\/57*6\/u.\nAnswer: 1256","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -43, -176, -397, -706, -1103, -1588, -2161?\n\"Answer: -44*d**2 - d + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (1\/2 - 0)*12. Suppose 4 - w = c. Let d(o) = 7*o**2 - o + 1. What is the remainder when d(c) is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from qqcrrrqrrgqqrk. What is prob of sequence cgk?\nAnswer: 1\/2184","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 16338\/29175*(-5)\/(-2)?\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 29\/5 of a decade?\nAnswer: 696","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 31931059 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 12 + -10. Suppose -3*w = -3*z + 87, o*z + 2*w - 43 = w. Let x = 27 - z. Solve x*f = -c - f + 12, -3*f + 9 = 2*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 + -1 + (-24 - -25)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 729512 and 1641402?\nAnswer: 6565608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1164513 (base 9) to base 10.\nAnswer: 633189","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f**(-6\/7)*f)\/f*f**23 assuming f is positive.\nAnswer: f**(155\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*t + 2*t = -2. Let n = -3 - t. Which is the second biggest value?  (a) -4  (b) 2\/9  (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1113 divided by 75135?\nAnswer: 371\/25045","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 0.736 + 0.264. What is the closest to -1 in 0.4, h, 10, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1\/20?  (a) -4\/9  (b) -0.1  (c) 42  (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 5aa - 278022?\nAnswer: -277523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w*w\/w**(-2)*w*w*w)\/(w\/w**9*w)*w**(1\/6)\/w**(-2\/7) assuming w is positive.\nAnswer: w**(607\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((i*i\/(i\/(i**7\/i)))\/i*i*(i**(-21)\/i)\/i)\/(i**(5\/4)\/(i*i**(-2\/5)\/i)))**(-8\/7) assuming i is positive.\nAnswer: i**(706\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 15.4 + -19. Let o = 3.7 + g. Is -1 equal to o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10*q + 92 = -8*q. Let c(o) = -2*o**3 + 32*o**2 + 11*o - 9. Let r be c(16). Let g = q + r. What is the hundreds digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(a) = -a**2 + 11*a - 8. Let u(o) = o**2 - 3*o + 5. Let p be u(4). Let y(b) = b**3 - 8*b**2 - 9*b + 10. Let j be y(p). Let m be c(j). Solve -s = -m*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n**(-18))**(-5\/18) assuming n is positive.\nAnswer: n**5","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let j(m) = -6*m + 5. Give j(-8).\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1271884?\nAnswer: 2, 317971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 9\/15 - 188\/(-900)*-5.\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -6469, -6476, -6487, -6502, -6521?\n\"Answer: -2*b**2 - b - 6466","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z(q) = -19*q**3 - 114*q**2 + 77*q + 479. Determine z(-6).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*h + 3*h = -8. Suppose h*u + u = 5*j + 1260, -j = 2*u - 504. Let q be (u\/35)\/((-2)\/(-10)). What is the greatest common divisor of q and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*y + 73 = y. Let m = y + 507\/7. Let k(s) = -3*s - 65. Let g be k(-21). Which is the closest to 0?  (a) g  (b) 0.3  (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 14\/(-6)*532\/11172.\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 2.446 - 0.356. Let u = 0.09 - h. Let g(x) = x**2 - 8*x + 3. Let i be g(7). Which is the second smallest value?  (a) 1\/5  (b) u  (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(y) = -44*y - 60. Let i(f) = -10*f + 55. Determine c(i(b)).\nAnswer: 440*b - 2480","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -42458, -42449, -42428, -42389, -42326?\nAnswer: -42233","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Product of -1.49 and 79049.\nAnswer: -117783.01","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -585446*y - 17354 - 17353 + 34707.\nAnswer: -585446*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 0.08 + 0.92. Let i = 1.2 - 1. Let h = -0.2 + i. Is h greater than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(s) = -s**2 + 1 + 0*s**2 - 4*s + 2*s**2. What are the prime factors of h(5)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*r - r + 76 = 0. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 135*p - 48*p = -110*p + 7364845. What is the units digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor h**2\/8 - 1103*h\/4 - 2207\/8.\nAnswer: (h - 2207)*(h + 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 17719319*f + 50419548 wrt f?\nAnswer: 17719319","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 2527 + -2461. Solve l = 18*r + 30 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -17, -20, -33, -62, -113, -192, -305, -458?\nAnswer: -657","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from uuuuubuuubuuuubbuuu. Give prob of sequence bbb.\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let j(n) = -7*n + 151. Let o be j(0). Suppose -152*q + o*q + 5 = 0. What is the second derivative of q*p - 26*p**4 + 3*p**3 + 12*p**4 - 3*p**3 wrt p?\nAnswer: -168*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-24)\/(-8)*4\/((-12)\/5)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 358279119?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 11 - 9. Suppose -y = 4*m - 358, 5*y = -m + d*m - 79. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*o + 4*l = 3*o + 282, 723 = 5*o + l. Let y = -60 + o. Calculate the remainder when y is divided by 29.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 298*a - 9683 = -7183 + 9122 for a.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -6623, -13224, -19865, -26546?\n\"Answer: -20*h**2 - 6541*h - 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o(k) = 16*k**2 + 6*k + 11. Let n(f) = -f**2 - 2 + 0 - 2*f**2 - f. Suppose -52 = -4*v - 3*t - 8, -3*t + 55 = 5*v. Give v*n(u) + 2*o(u).\nAnswer: -u**2 + u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -40 + (-2 - (32 + -64))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*d = -34 + 46 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from tppipxptpvkipii. What is prob of picking 3 i and 1 p?\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 28108 to the power of 1\/5, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -371 divided by -53.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*p - 1252 = 5*u - p, -u - 3*p - 257 = 0. Let r = 413 - u. Calculate the remainder when r is divided by 51.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -8 + (-50 - -32 - (0 - 95))?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f(r) = -167*r**2 + r - 33. Let h(q) = -84*q**2 + q - 17. Let u(g) = 6*f(g) - 11*h(g). Let c(l) be the first derivative of u(l). Is c(-12) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {p: 8, m: 5, w: 7}. Give prob of picking 1 p and 1 w.\nAnswer: 28\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 782 and 273309.\nAnswer: 546618","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let u(h) = -7*h**2 + 1. Let f(m) = -26*m**2 + 11*m + 1. Let q(n) = f(n) - 4*u(n). What is q(-4)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -8 - -5. Let u = -3 - z. Suppose u = -m + 2*m - 34. What is the remainder when m is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1\/2?  (a) 2676\/7  (b) -0.013208  (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 23 - 27. Sort l, 4, 2\/13 in descending order.\nAnswer: 4, 2\/13, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*b + 559 - 163 = 0. Let i be 415\/(18\/(-90)*25). Let s = i + b. Calculate the greatest common divisor of s and 32.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:25 PM and 3:25 AM?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r\/r**(-4))**(1\/20)\/(r**(2\/15))**(-47) assuming r is positive.\nAnswer: r**(391\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let p(c) be the second derivative of 0*c**3 - 1\/10*c**6 + 0*c**2 + 0 - 1\/12*c**4 - 8*c + 0*c**5. Find the third derivative of p(h) wrt h.\nAnswer: -72*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (3\/6*0)\/(75\/25)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 13674349 to the nearest integer?\nAnswer: 239","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 67 + 139?\nAnswer: 206","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0.059 or -7402?\nAnswer: -7402","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let b(k) = 2*k - 4. Let a(v) be the third derivative of v**4\/8 - 5*v**3\/6 - 4*v**2. Let t(z) = -3*a(z) + 4*b(z). What is t(-5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(y) be the second derivative of 4*y**3\/3 - 5*y. Let r(g) = -3*g - 2. Let n(a) = a + 1. Let z(q) = -2*n(q) - r(q). What is z(b(v))?\nAnswer: 8*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 82 is divided by 22?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*p - 1247 + 492. Let g = 344 + p. What is the units digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1110100001001 (base 2) to base 13\nAnswer: 34ca","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 318704 - 15*k - 159356 - 159348.\nAnswer: -15*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -23*t + 34 + 35 = 0 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Sort -8, 2, 5, 95505 in descending order.\nAnswer: 95505, 5, 2, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is -50396 (base 11) in base 2?\nAnswer: -10001111111001001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -t + 6 = 2*t. Suppose 4*f - 7 = 5*b - t, 4*b - 2*f - 2 = 0. Suppose 150 = 2*x + b*x. What is the common denominator of 44\/7 and x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(d) = -2*d**2 - 530*d + 10764. Give x(-284).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5 + 12 - 3)*(-3*p**5 + 4*p**5 - 3*p**5) - 5 + 12*p**5 + 5 - 4*p**5 - 3*p**5 - p**5.\nAnswer: -24*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((s*s\/((s**(2\/11)\/s*s)\/s))\/(s*s**2)*s**(-2)\/s**(-4))**45 assuming s is positive.\nAnswer: s**(900\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -0.4 + 0.46. Let k = -0.44 + 0.18. Let s = y + k. Round s to the nearest integer.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from pdymmydpqpyqp. What is prob of picking 1 y and 1 q?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*a - 5*y = -27, 0 = -3*y + 2*y + 3. Suppose -a*p = -q + 28 - 7, -5*q + 51 = -2*p. Let c = -6 + q. What is the highest common factor of c and 24?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -1360578.04 to the nearest 100000.\nAnswer: -1400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1804 = -47*t + 452. Let o be (-193)\/(-4) - 2\/8. Let j = t - o. Is 1\/10 less than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 63466 less than 53502306?\nAnswer: 53438840","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 222\/(-296)*(-612)\/357*168\/(-27).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 48 (base 11) in base 5?\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -49\/18734 and -23\/101422.\nAnswer: 2941238","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 1710089781 a multiple of 386?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -6*v - 15 - 16 + 31.\nAnswer: -6*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is -11968 at most -9671?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5851*z - 38 + 74 - 17.\nAnswer: 5851*z + 19","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence qpq when three letters picked without replacement from pqqqqppppqpppqqppqpq.\nAnswer: 11\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 93366 and 193059.\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let p(r) = -112*r**3 - 13*r + 6. Let j(l) = -115*l**3 - 14*l + 6. Let n(c) = 8*j(c) - 10*p(c). What is the second derivative of n(g) wrt g?\nAnswer: 1200*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (32*z + 75*z - 56*z)*(535 + 460 - 173)*(2*z**3 - 2*z**2 + 2*z**2) to h*z**3 + l*z + y*z**4 + b*z**2 + g and give y.\nAnswer: 83844","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -21 - -40. Suppose -q = 5*d - t, 0*d - d = 4*q. Let y = -6 - -5.8. Which is the third biggest value?  (a) 1  (b) y  (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -0.1  (b) -0.5  (c) -241  (d) 200.25\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 3 - 7. Let k be 285 + q + -2 + -1. Suppose 4*b - 214 = 5*h, -5*b + 2*h - h + k = 0. What are the prime factors of b?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -216.9 - -228. Let x = u + -18.8. Let t = -7.9 - x. What is the nearest to 2\/5 in -12, 0.5, t?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -63 + 123. Suppose 5*x - 2*h - 61 = 29, -2*x + a = 4*h. Let r(o) = o**2 - 3*o - 6. What is the smallest common multiple of x and r(6)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -1, 3014, -4, 4, 224 in descending order.\nAnswer: 3014, 224, 4, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 6445 times 0.4?\nAnswer: 2578","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 0.48, -2\/37, -1?\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*h**2\/9 - 8*h.\nAnswer: 2*h*(h - 36)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -76 + 78. Suppose -l*o = 2*p - 240, 2*o + 3*o - 624 = p. Suppose 17*s - 13*s - o = 0. What are the prime factors of s?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.4 and -154239?\nAnswer: 61695.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let c(o) = 80*o**2 + 5*o + 1. Is c(-2) a multiple of 47?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 419 divide 5266850?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let y(g) = g + 4. Suppose -51 = -3*p - 33. Suppose 138 = 5*z + i, 3*i + i = -8. Suppose 27*f = z*f + p. Calculate y(f).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(g) = -g**3 - 7*g**2 + 8*g + 11. What is the least common multiple of k(-8) and 3?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -16 = v + 3*v. Suppose 7*f - 1078 = -1071. What is the third biggest value in 7, v, f?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(q) = -2*q**2 + 5*q. Let o(r) = -2*r**2 + 56*r - 112*r + 60*r. Determine 4*o(a) - 3*p(a).\nAnswer: -2*a**2 + a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let w(o) be the first derivative of 3*o**5 + o**4\/4 + 15*o**2\/2 - 22. What is the second derivative of w(v) wrt v?\nAnswer: 180*v**2 + 6*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 128*z - 2767 - 2980 + 4083 = 0 for z.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -118 + -8 - (-431 - -321)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3*(3*sqrt(192)*3 + sqrt(192) + (sqrt(192) + 5)*6 + sqrt(192)))**2.\nAnswer: 73440*sqrt(3) + 507492","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -34\/17874725 and -6\/85.\nAnswer: 303870325","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 1728473214?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 97310 and 11840.\nAnswer: 370","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 6751?\nAnswer: 43, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:41 PM and 6:29 AM?\nAnswer: 708","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-7)\/(-6)*(-1)\/((-21)\/9).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c(h) be the third derivative of h**7\/1470 + h**6\/840 - h**5\/420 - h**4\/168 - 19*h**2. Factor c(i).\nAnswer: i*(i - 1)*(i + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(v) = v**2 + 4*v - 26. Suppose 5*y + 34 = -3*c, -4*c + c - 18 = 3*y. Let g be m(y). Solve 0 = 3*l - l - g for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 179 divide 12204?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3*((2*(sqrt(78) + (sqrt(78) - 4*sqrt(78))))\/(sqrt(216)*-5) + -5))**2.\nAnswer: -12*sqrt(13) + 5677\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -103 - -102.8. Which is the nearest to -0.1?  (a) 0.2  (b) -4  (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*v - 6*v = -42. Suppose 946 = 5*u - v*j - 154, 0 = 3*u - 5*j - 660. Calculate the greatest common factor of 44 and u.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -23\/2968560 and -167\/2968560?\nAnswer: 2968560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 30 + -33. Let m be 7\/(-2) + a\/(-6). Let g be (-8)\/(m\/(12\/8)). Solve -2*s + 26 = -g*s + 5*p, -8 = -2*p for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 7770086 and 27195301?\nAnswer: 54390602","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let u(n) = n**3 - 13*n**2 + 36*n - 15. Let w be u(10). Suppose w*d = 39*d + 462. Calculate the greatest common factor of d and 99.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-2)\/(-22)*162\/(-378)*14\/(-3).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.000011666426 rounded to six decimal places?\nAnswer: -0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*s + t = -14, 1 = -3*s + 3*t - 2 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 37 + -36.93. Put o, -1\/2, -0.14 in increasing order.\nAnswer: -1\/2, -0.14, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -78 - -63. Let j be 2*o\/(-18)*(-5)\/25. Sort j, -12, 4.\nAnswer: -12, j, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 8004860?\nAnswer: 2, 5, 400243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 0 + -1*(1 + ((sqrt(1008) + 2)*-1 - sqrt(1008))).\nAnswer: 1 + 24*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -1728, -5684, -11852, -20232, -30824, -43628?\nAnswer: -58644","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -12 + 63 + 0 + (26 + -11 - (1 - -1)).\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 20580 and 294.\nAnswer: 20580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3730809.\nAnswer: 3, 43, 28921","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 45799346 at most 320595412\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:38 PM and 3:09 AM?\nAnswer: 331","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 50 + -47. Let r be (9\/(-5) - -1)*-5. Suppose -4*w - o*h = -w - 66, 2*w = r*h + 44. Calculate the least common multiple of 4 and w.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 15251\/275912 + -1\/3032. Find the common denominator of q and 53\/91.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -369871.2 rounded to the nearest 100?\nAnswer: -369900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 662844?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let h(o) = 9*o**3 + 59*o + 12. Let c(l) = -4*l**3 - 29*l - 6. Let m(v) = -5*c(v) - 2*h(v). What is the derivative of m(n) wrt n?\nAnswer: 6*n**2 + 27","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 9246 - 2891. What is the highest common divisor of 155 and p?\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 126\/(-24)*7788\/2178 + 19?\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 49 - 196. Let k = 152 + j. Let q(x) = -3*x - 4. Let d be q(-3). Solve -k*i + 0*i = -d for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(j) = 1868*j - 18727. What is t(10)?\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*i**4 + 195*i**3 + 1995*i**2 + 1805*i.\nAnswer: 5*i*(i + 1)*(i + 19)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.2?  (a) -1  (b) 0.3  (c) -0.03  (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let h(k) = 4*k**2 + 3*k + 1. Let i be h(-2). Suppose 55 - i = 2*v. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 100602 divided by 1863.\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of (-14)\/(-5 + 19) + 5369?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 207 - 3*a**3 - 6*a**2 - 199 + a**3 = 0. Calculate a.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -1810 + 2609. What are the prime factors of t?\nAnswer: 17, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from frwcn. What is prob of picking 1 n and 1 r?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 26 = 2*k - 3*x, 5*k + 5*x - 21 + 31 = 0 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 15719, 31442, 47163, 62882, 78599, 94314?\n\"Answer: -c**2 + 15726*c - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s be ((-20)\/80)\/((-3)\/(-24)). Let m(o) = -o**3 + 2*o**2 - 6. What is m(s)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 33*u + 4 - 235. Solve u*o - 23 = 12 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -5*g**4 + 11265*g**3 + 11310*g**2 - 90100*g - 135240 = 0. What is g?\nAnswer: -2, 3, 2254","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand (53 + 9*f - 53)*(-1 + 1 - 2*f)*(2*f**2 - 6 - f**3 - 4*f**2 + 7).\nAnswer: 18*f**5 + 36*f**4 - 18*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1 + 6 + 45*s**3 - 46*s**3.\nAnswer: -s**3 + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify n**(-1\/11)*n\/n**(-7)*(n\/(n**(2\/3)*n))**(-1\/12)*((n\/(n*n\/(((n\/(n**(3\/8)*n))\/n*n)\/n)*n))\/n**10)**32 assuming n is positive.\nAnswer: n**(-83167\/198)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: (-36)\/126*(588\/(-315))\/(4\/(2 + 0))\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 982 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let h(x) = 9*x**2 + 2*x - 2. Let m be h(2). Let g = -23 + m. List the prime factors of g.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(t) = t - 1. Let a be f(-3). Let j = 6 + a. Suppose j*h = -3*h. Is h greater than or equal to -2\/15?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((z*z**(-1\/42))\/z)\/(z**(14\/9)*z)*(z**24*z)**(1\/16) assuming z is positive.\nAnswer: z**(-1025\/1008)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from xxxxxxxxqxxqxxxq. What is prob of sequence xxxq?\nAnswer: 33\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let x(k) be the second derivative of -k**4\/12 - k**3\/6 + 3*k**2\/2 + k. Let t be x(0). Let i = 11 - t. List the prime factors of i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(h) = -4*h**2 + h + 5. Let m(g) = 4489*g. Calculate l(m(r)).\nAnswer: -80604484*r**2 + 4489*r + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 19 - -2b?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let f(h) = -h**2 + 23. Let c be f(0). Let j be (-1 - 27\/(-3)) + -3. Suppose 4*l = -l + 20, m = -2*l + 28. Solve 3*d - j*u = -c, u - 5*u = -4*d - m for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:06 PM and 8:15 PM?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*m**4\/7 - 16*m**3\/7 - 18*m**2\/7.\nAnswer: 2*m**2*(m - 9)*(m + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 187265798.\nAnswer: 2, 93632899","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let t(m) = 44*m + 1. Let l(j) = 101872*j**2. Give t(l(x)).\nAnswer: 4482368*x**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 156.24 rounded to the nearest one thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*m - m = 3*b + 3, 3*b = 4*m - 6. Suppose i + 5 = b*i. Suppose i = c + 1. Solve 0 = -3*n - c + 1 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(d) = d**2 + 8122*d - 97636. Give v(12).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -19 - -13. Let z(n) = -2762*n + 1376*n + 2*n**2 + 1375*n + 11. Let m(c) = c**2 - 6*c + 6. Determine g*z(k) + 11*m(k).\nAnswer: -k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 138 and 460.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when (-332)\/(-2) + (-20)\/((-30)\/(-6)) is divided by 36?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4758 + 4758 + 407*i)*(4*i**4 + i**4 - 3*i**4 + 3*i**4 - 2*i**4 - 2*i**4 + (0*i + i + i)*(-2*i**3 + 2*i**3 + 2*i**3) - i**4 + 2 - 2 + i**4 + 2*i - 2*i).\nAnswer: 2035*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"}
{"text":"Question: What comes next: 177, 788, 2471, 5760, 11189?\nAnswer: 19292","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 154 minutes before 9:41 PM?\nAnswer: 7:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -3 - 62657?\nAnswer: -62661","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let o(a) = a**2. Let q(v) = v**2 + 3*v. Let j(b) = -59*b**2 + 10*b. Let f(h) = -j(h) + 5*q(h). Give f(o(r)).\nAnswer: 64*r**4 + 5*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: -0.1801*2\nAnswer: -0.3602","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -7072 divided by 1768.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let w(n) = n**2 - 10*n + 12. Let j = 91 - 50. Let z = -32 + j. Let u be w(z). Solve u*g - 3 = -0*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -146*(-2)\/48 + (-4 - 2)\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Add 162803 and -0.722.\nAnswer: 162802.278","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 635510.\nAnswer: 2, 5, 103, 617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -0.03 - 1.97. Let q = l - -2.2. Let m = q - 0. Are m and 1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*k = -0*k + 2*b - 27, -k = -4*b + 19. Does 18 divide 26 + k - (1 - 0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 9 divide 302?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-15)\/(-4) - 6\/(-24). Suppose p - 6 = -n. Let c(v) = v**2 + 10*v + 2. Let w be c(-10). Solve -4*o - 13 = -3*b, p*b - w = 4*o + 12 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*v + 0 + 36 = -3*u, -4*v + 12 = -u. Is 49 a factor of (u\/21)\/(2\/(-287))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -911 by 1074.\nAnswer: -911\/1074","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 112\/5*p**2 - 1\/5*p**3 + 227\/5*p + 114\/5 = 0. What is p?\nAnswer: -1, 114","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(t) = 6*t**3 - 2*t**2 - 2*t. Let c be o(-1). Let b = -1 + 2. What is the third biggest value in b, c, 5?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(c) = -2*c**3 + 2*c**3 - 10*c**2 - 16 + 2*c**3 - 9*c - c**3. What is the smallest common multiple of z(11) and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1011011 (base 2) to base 14.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h(k) = 13681*k + 7222. Let g(m) = -2280*m - 1204. Let b(a) = 38*g(a) + 6*h(a). What is the first derivative of b(w) wrt w?\nAnswer: -4554","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 16367206 is divided by 104?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -1 and 27.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 622943 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 8.540068 litres?\nAnswer: 8540.068","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 882 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (36\/(-27))\/(1\/(-6)). Calculate the highest common factor of 56 and j.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-30 - -51) + -4 + (8 - (4 + -3)).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -21 - -11. Let d = q - -15. Suppose -v = -d - 4. What is the units digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 36 divided by 27.\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*h + 2*h - 2*h + (0 + 1 + 0)*(4 - 4 - 2*h) + 0*h - h + 2*h - 11 - 9*h + 4*h + 3*h.\nAnswer: -5*h - 11","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 2 + 1. Let i be (-2)\/18*y - -1. Do i and -0.1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*j - 2 + 2)*(-2*j**2 + 2*j**2 - j**3)*((-2 - 1 + 2)*(-3*j + 0*j + 2*j) + 9*j - 25 + 25).\nAnswer: 20*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 84.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*f + 4*g + 27 = 3*f, 3 = -2*f - 3*g. Let z be ((-4)\/7)\/((-10)\/35). Suppose 5*j + z = -8. Put f, 0.4, j in ascending order.\nAnswer: j, 0.4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-14)\/49 + 9\/7. What is the closest to -0.1 in 3, -4, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 13\/4 of a litre in millilitres?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -1759851\/50 + 35199. Calculate the common denominator of n and 30.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q**2\/q*q)**(-12)*q**(-6\/5)\/(q*q**(-2\/33)) assuming q is positive.\nAnswer: q**(-4313\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*s + 3*l + 12 = 9*s, -5*s + 14 = -4*l. Suppose -s*y - 6*y + 384 = 0. Calculate the remainder when 125 is divided by y.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(s) be the third derivative of s**4\/12 + 19*s**2. Let u(c) = c**2 - c + 2. Let m be u(0). Let q(b) = b**m - 2*b**2 + 3*b**2. Give o(q(l)).\nAnswer: 4*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 3251898 != 3252038?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -995, -2021, -3047?\nAnswer: -4073","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f(y) = y**3 + 28*y**2 + 169*y + 16. What is f(-9)?\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1255 is divided by 69?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 371525 is divided by 18575?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 626657.7 litres in millilitres?\nAnswer: 626657700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 2258?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*y + 82404 = -18*y. Let s = 5651 + y. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 1238 divide 36268448?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2\/105, -4\/7, 14.2, -5.\nAnswer: -5, -4\/7, -2\/105, 14.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*s - 4*w - 10 = 6, 4*s - w = 11. Suppose -3*f - s*f = 135. What are the prime factors of (88\/12)\/((-6)\/f)?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(f) = -365*f + 19349. Determine v(53).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-710325)\/(-19800) - 3*12.\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -21 + 21.3. Let h(l) = -l + 1. Let t be h(0). Suppose 0 = o - t - 4. Which is the nearest to -0.01?  (a) o  (b) -6  (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 30 and 1935?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 124, 139, 164, 205, 268, 359, 484, 649?\n\"Answer: c**3 - c**2 + 11*c + 113","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 762134441 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve -38*k + 25 = -26*k - 11 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 2316*i**2*k*m + 3319227*i**2 + 5*k - 2613*m wrt m.\nAnswer: 2316*i**2*k - 2613","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x\/(x*((x\/(x**(-1)*x*x))\/x)\/x*x)*x)**(2\/85)\/(((x\/(x*x\/(x\/(x*x**(3\/7)*x))*x))\/x)\/(x*(x*x**2*x)\/x)) assuming x is positive.\nAnswer: x**(5043\/595)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 21408, 21388, 21368, 21348, 21328, 21308?\n\"Answer: -20*a + 21428","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l(r) = 2*r - 10. What is the units digit of l(6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-474)\/395*18\/(-4))\/(21\/(-70))\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d(g) be the first derivative of -3*g**5\/5 + 11*g**3\/3 + 1. What is the third derivative of d(u) wrt u?\nAnswer: -72*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 274 + -193. Let c = -55 + k. What is the remainder when 50 is divided by c?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*v - 3*l + 27, -3*v + 17*l + 19 = 18*l. Suppose -v*n = -4*n - 234. Calculate the greatest common factor of 18 and n.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.41 and 0.06.\nAnswer: 0.0246","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, 42, -147, 6, 2 in ascending order.\nAnswer: -147, 2, 3, 6, 42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let q(i) = i**3 + 5*i**2 + 14. Let p be q(-6). Let f = 223 + p. Is f a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.012, 1821, -5, 0.3 in ascending order.\nAnswer: -5, -0.012, 0.3, 1821","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Divide -1789740 by -30.\nAnswer: 59658","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 586199 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let w(d) = -2*d**3 + 15*d**2 + 16*d - 36. Let x be w(8). Suppose 0 = 2*l - 0*l - 4*y - 380, -5*y + 15 = 0. What is the highest common divisor of x and l?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*k = -5*b + 6*k + 23, 5*k + 13 = b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 2*g**5 + g**4 + 1060*g**2 - 4558*g wrt g?\nAnswer: 40*g**3 + 12*g**2 + 2120","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 367, -32530\/7, 0?\nAnswer: 367","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let a(t) = -14*t + 13. Let p be a(-19). Suppose 0 = -2*h - p + 909. Let s = h + 728. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 0 + (-3 - 0) + -63 + (-144 - (-177 + 33))?\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g(l) = -1135*l**2 - 55*l + 110. Let w(i) = 126*i**2 + 6*i - 12. Determine -6*g(q) - 55*w(q).\nAnswer: -120*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 5 - 31. Let n = j - -55. What is the remainder when 114 is divided by n?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 99 + -55. List the prime factors of y.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -47\/14651 and 101\/20930.\nAnswer: 146510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*a = 64*q - 67*q + 7, -4 = 2*q - a for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 991491, 991487, 991481, 991473, 991463, 991451?\nAnswer: 991437","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((a\/(a\/((a*a\/a**(-2\/73))\/a))*a\/(a*a**(-3\/8)*a)*a*a*a)**(-1\/37))**(2\/3) assuming a is positive.\nAnswer: a**(-1987\/32412)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 19 + -83. Let b be 0 - 2 - (f - 1). Calculate the highest common factor of 9 and b.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4 = u - 3*f, -2*u + 0*f + 28 = 3*f. Suppose -u = 4*s - 2*j, -2*s + j = 4*j - 4. Calculate the least common multiple of (2\/(-5))\/(s\/10) and 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 29\/5 of a litre in millilitres?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand 5*n**5 - 6*n**4 + 6*n**4 + (-1 - 1 + 0)*(-2*n**5 + 4*n**5 + 0*n**5) + 2 - 2 + n**5.\nAnswer: 2*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15 = -4*a + 3*k, 11*a - 16*a + 42 = 4*k. Is 1*-3 + 864\/a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -71393, -142767, -214123, -285461, -356781, -428083?\n\"Answer: 9*y**2 - 71401*y - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 6*(-2*(-1*sqrt(1400)\/sqrt(8) + (sqrt(49)\/(sqrt(7) - (sqrt(7) + sqrt(28)\/sqrt(4) + sqrt(7) - sqrt(7))))**2 + -5) + -1).\nAnswer: -30 + 60*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -83557\/40 - -2089. What is the common denominator of 57\/140 and j?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (21 - -17) + -38 - (10 - 5)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 206054784 and 75289248?\nAnswer: 3915040896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*b - 3*q = q + 10, 4*b - 16 = 4*q. Suppose -b*o = -52 - 182. Let j(t) = t**2 - 6*t + 6. Let c be j(7). Calculate the greatest common factor of o and c.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -139988 - 11474 = 3*t + 4*c, -t = -2*c + 50474. Round t to the nearest ten thousand.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence fil when three letters picked without replacement from ifujl.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0*m + 4*m - 12 - 3*m.\nAnswer: m - 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(648)\/sqrt(108))\/sqrt(3))\/(1*(-2*sqrt(81))\/sqrt(9)).\nAnswer: -sqrt(2)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (0 + (-32)\/28)\/((-4)\/(-82)). Let k = -391\/14 - z. Let b = -3\/587 - -6472\/2935. What is the common denominator of b and k?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(w) be the first derivative of 1\/2*w**2 - 1\/12*w**3 - 1\/24*w**4 - 3*w + 3. Let o(r) be the first derivative of p(r). Solve o(q) = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2 + 835*w - 20*w**2 - 1825*w + 990*w.\nAnswer: -20*w**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -5 and -3490456?\nAnswer: 17452280","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-7*u**2 + 4*u**2 - 5*u**2)*(6 - 8 - 1).\nAnswer: 24*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 398 minutes after 11:08 AM?\nAnswer: 5:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Does 35 divide 116200140?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2349*d - 48596 = 5431 for d.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let m(a) = -15*a + 144. Let f(o) = -o + 9. Give -33*f(k) + 2*m(k).\nAnswer: 3*k - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is (-11)\/(-143)*7*14\/(-49)?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:38 PM and 6:37 AM?\nAnswer: 599","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -43 (base 5) in base 2?\nAnswer: -10111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -429*j = -435*j - 48 for j.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -454\/65 + -55857\/1430. Let u = 46 + r. Is u less than or equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4\/(-6)*(-175)\/(-140).\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 6 a factor of 56?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -0.19 + 0.39. What is the nearest to 1 in 0.5, -5, v?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*c**2\/7 - 89304168*c\/7 - 664602868514352\/7.\nAnswer: -3*(c + 14884028)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 7\/6 of a year in months?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*m - 5*d - 18 = -3*d, m + 3 = -2*d. Suppose 5*r - 32 - 633 = 5*z, z - m*r = -153. Let w = -79 - z. What is the tens digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -10 divided by -14?\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: -762664572 divided by -2\nAnswer: 381332286","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -2\/9, -3, -0.2, -1, -0.04958?\nAnswer: -0.04958","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -47, 67, 2\/177, 0.44?\nAnswer: 2\/177","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve q**4 - 228614*q**3 + 13066547444*q**2 - 52257731290*q - 274378293525 = 0 for q.\nAnswer: -3, 7, 114305","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is (0 - (0 + 29)) + (11 - 47 - -39)?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i(l) = -50*l + 167*l - 87*l - 126*l. Let p(u) = u**2 - 2. Let s(a) = -6*a**2 + 11. Let k(z) = -33*p(z) - 6*s(z). Give i(k(b)).\nAnswer: -288*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence cy when two letters picked without replacement from {c: 3, y: 2}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 508642318 to the nearest integer?\nAnswer: 22553","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 225800?\nAnswer: 2, 5, 1129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ah when two letters picked without replacement from {o: 1, a: 1, h: 1, k: 3, v: 5, w: 2}.\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -1*1\/2*970\/(-97)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00496965 rounded to 5 dps?\nAnswer: -0.00497","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 75 - 180 - -53 - -95.\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 12 + -7. Which is the nearest to -1?  (a) n  (b) -0.4  (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(v) = -8*v - 220. Let b be h(-28). Let z be (60\/(-3))\/2 + 2. Let t be z\/28 + 116\/14. 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 v(o) = o. Let k(y) be the first derivative of y**2 - 20*y - 40. What is v(k(f))?\nAnswer: 2*f - 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (8 - 4 - -7) + -11.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 w when two letters picked without replacement from {l: 1, z: 3, r: 2, i: 1, w: 5, u: 3}.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 12282401 to the power of 1\/2, to the nearest integer?\nAnswer: 3505","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:52 AM and 5:39 AM?\nAnswer: 167","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: 5 + (-2 - 0) + (2 - 7)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 14387 or -4166?\nAnswer: -4166","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 9055, 6545, 4011, 1441, -1177, -3855, -6605, -9439?\nAnswer: -12369","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5*d + 4 - 4)*(15 + 11 - 32) + (3*d - 4*d + 2*d)*(-1 + 0 + 0).\nAnswer: -31*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2*c**2 - 2*c**2 + 3*c**2 + (3*c + 3*c - 4*c)*(-1 + 1 - 2*c) + 13*c**2 + 17*c**2 - 13*c**2 - 3*c to a*c + g + p*c**2 and give p.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*p - 4*i - i - 10, 3*p - 10 = 5*i. Put 4, p, -4, 3 in ascending order.\nAnswer: -4, p, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -3609 and -12.064?\nAnswer: 43538.976","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 36 a factor of 16668?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 98 and 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-4)\/(-18) - (-296)\/(-36). Let w(a) = -a**2 - 10*a - 12. Let d be w(h). Suppose 0 = -101*n + 104*n - 9. Solve d*q = -7 + n for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 1278\/1241 - 71\/365. Let l = t + -21\/17. Let z(o) = 26*o - 160. Let q be z(6). Which is the nearest to -2\/19?  (a) q  (b) l  (c) 3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 6 + -3. Suppose 3*h - z = 6. Suppose -h*k + k = -6. Let t(x) = 2*x + 3. Calculate t(k).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1071*v**2 + 2175*v**2 - 1087*v**2 - v.\nAnswer: 17*v**2 - v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 1012, 1019, 1026?\nAnswer: 1033","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 1499, 1496, 1493, 1490?\nAnswer: 1487","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.19?  (a) -5  (b) -1  (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is -27 + 32 + (-1 - 1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(l) = -l**3 + 12*l**2 - 14*l - 21. Is 32 a factor of r(9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 5130835 to the nearest integer?\nAnswer: 2265","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand -55*o**5 + 629 - 629 + (3 - 3 - 2*o**2)*(3*o**3 + 0*o**3 - 4*o**3) + 0*o**5 + 2*o**5 - o**5.\nAnswer: -52*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3110*o + 3104*o = 4*v + 16, 3*o = 11*v + 44 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -160 + 160.077. Let z = k + -0.379. Round z to 2 dps.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Total of -162 and 0.2609.\nAnswer: -161.7391","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.118 in -0.0013, 1, -46, 3?\nAnswer: -0.0013","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let r(x) = x**2 - 20*x + 11. Calculate r(17).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2061 = 7*a + 2391. Let q = 4454\/7 + a. Factor -q*b**2 + 0 - 2*b.\nAnswer: -2*b*(b + 7)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many centimeters are there in 12\/25 of a meter?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 27620946 to the power of 1\/2, to the nearest integer?\nAnswer: 5256","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -28408, -56814, -85220?\n\"Answer: -28406*f - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (4\/(-108)*-6)\/(77\/99)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -1913, -3392, -4871, -6350?\n\"Answer: -1479*k - 434","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 0*3\/9*-1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c(b) be the second derivative of b**6\/105 - 3*b**5\/70 + b**4\/21 - 37*b + 1. Factor c(q).\nAnswer: 2*q**2*(q - 2)*(q - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:26 AM and 5:48 PM?\nAnswer: 502","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 1153.1655 and 0.35901?\nAnswer: 1152.80649","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 118944 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 3489 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let x(j) = -21*j. Let a = 33753 + -33745. Let s = -3 - 0. Let b(v) = -7*v. What is a*b(i) + s*x(i)?\nAnswer: 7*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 14674931 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -1532 + 1532. Let i(h) be the third derivative of 1\/180*h**6 + 0*h**5 + 0*h**3 + 0*h**4 + 1\/126*h**8 - 1\/63*h**7 + d*h + 5*h**2 + 0. Factor i(p).\nAnswer: 2*p**3*(p - 1)*(4*p - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -21.3 in 0.25, -1\/8, 1.3?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -u**3 + 11446255*u**2 - 32754194104383*u + 32754182658129 = 0 for u.\nAnswer: 1, 5723127","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:40 PM and 5:27 PM?\nAnswer: 167","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -9.8 - -12. Let s = z - 0.2. What is the second biggest value in -3, s, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(s) = -8*s**3 + s**2 - 2*s + 3. Let q be t(1). Let p be (-5 + 6)\/(-1*(-2)\/q). Sort 14, p, -4.\nAnswer: -4, p, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 58441 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 1 - -11 - -3*6\/6. Suppose -28 = 2*d + 5*m - l, -5*d = -3*m - 14. Does 2\/7 = d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*g - 4 - 24 = 0. Let y = 1 + g. What is the greatest common divisor of y and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-552)\/868 - -2 - (-876)\/13578)*(-7)\/4?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 24434868.\nAnswer: 2, 3, 83, 24533","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -144 - -98. Let c = x - -30. Let d be c*4\/16*-2. Solve -6*n = -4*n + d for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 12808975 is divided by 32?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1652 is divided by 54.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 4304 + -3406. What is the remainder when r is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -38 - -44. Suppose j + 4*d + 12 = -d, -3*j - a = 5*d. Suppose -j = -f - 5*l + 4*l, -7 = -5*f - l. Solve -3*r - 4 = -w - f, 0 = -4*w + 3*r + 3 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 4060 and 3248?\nAnswer: 16240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 70714 and 124894?\nAnswer: 630839594","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Does 138 divide 20960346?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.3, 685760, -2, -6, 0.3, 3 in descending order.\nAnswer: 685760, 3, 0.3, -0.3, -2, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -z - 28 = -5*s, -236*s - 56 = 5*z - 240*s. Let o(a) = a - 16. Calculate o(z).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 553520 and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-j**2 - j**2 + 0*j**2)*(-2 - 2 + 1) + j**2 - 2*j**2 + 4*j**2 - 2 + 13*j - 13*j + j**2 to the form f*j**2 + o + k*j and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -5 divided by 11099.\nAnswer: -5\/11099","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 1119395556 to the power of 1\/2, to the nearest integer?\nAnswer: 33457","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify s*s**(-1\/11)*s\/(s\/(s*(s\/(s*s**(-2\/17))*s)\/s))*s assuming s is positive.\nAnswer: s**(566\/187)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.03 * -34.559.\nAnswer: -1.03677","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -251014 + -35?\nAnswer: -251053","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14 = -3*t + 23. Suppose -5*b - 11*b = 7*b - 391. Solve t*c - c - 2 = 2*k, -5*c + k = -b for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(g) = 132*g + 743. List the prime factors of h(67).\nAnswer: 9587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -16.57 + 16.37. Let a = 0.93 - 0.53. What is the second smallest value in -5\/2, a, i, 3?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 6.523677379 to one dp.\nAnswer: 6.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 67767036?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let r(d) be the third derivative of 19*d**6\/720 - d**5\/40 - 17*d**4\/24 + 15*d**2. Let m(o) be the second derivative of r(o). What is the tens digit of m(4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(y) = -21*y - 2. Let w be u(-3). Suppose f = v - 44, 377 = -5*v + 367. Let c = f + w. What is the remainder when 87 is divided by c?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 33.7563 to 0 dps.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -128*s = -1517 - 176 + 413 for s.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 609 - 2435\/4. Let p = 5.9663 + 0.0337. What is the closest to -0.1 in p, 3, 0.2, l?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 65 = 5*x - 5*f, 2*f = 5*x - 5 - 48. Suppose -3*q = -6 - x. Is q a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (1\/(4\/12))\/((-23)\/(-69))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 75 = n - 4*r - 54, -4*n = -4*r - 468. Suppose 0*q = j - 5*q - n, -5 = q. Suppose 0 = -4*t + 4*p + j, 0*t + 116 = 5*t - 2*p. What is the tens digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -4 + (0 + -2 - -10) + -17 + 76?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -2113206 (base 8) in base 5?\nAnswer: -121002242","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is c17d - 4?\nAnswer: c179","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2\/7?  (a) -0.4  (b) -4\/51  (c) 4\/5  (d) -5\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5 + 2 + sqrt(162).\nAnswer: -3 + 9*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 13142 + -8525. What is the highest common divisor of 19 and t?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(j) = 3*j**2 - 498*j + 3*j**2 - 4*j**3 - 2 + 499*j. Let z(q) = -9*q**3 + 13*q**2 + 2*q - 4. Calculate -13*k(m) + 6*z(m).\nAnswer: -2*m**3 - m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*y**2 + 2*y**5 + 2*y**2 + (6*y - 3*y - 2*y)*(4*y**4 - y**4 + 2*y**4).\nAnswer: 7*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -120?  (a) 0.295  (b) 4  (c) 0.147\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 24 + -21. Suppose -r + 24 = d. Let k be (-4 - r\/(-4))*32. What is the highest common factor of 20 and k?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.1 minus 22207649903.2?\nAnswer: -22207649903.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_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: Which is greater: 0 or 1\/851?\nAnswer: 1\/851","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is (-26)\/10 + 3 - 94\/47?\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(q) = -4*q**3 + 7*q**2 - 5*q + 7. Let h(z) = -9*z**3 + 14*z**2 - 12*z + 15. Let u(s) = -3*h(s) + 7*k(s). Determine u(7).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -11 + 2101221010?\nAnswer: 2101220222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*x + 2148 + 2824. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1d77d4 (base 16) in base 6?\nAnswer: 105220500","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (291 - 291 - 59*k)*(87 + 32 + 3).\nAnswer: -7198*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 136 + -2041\/15. Let s be (312\/10)\/(33\/110). Let b be s\/(-88) - 2\/(-11). Is b smaller than c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -f + 4*f - 699 = 0. What is the units digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (24\/9)\/((-3)\/(-18)). Suppose 4*t - b = -0. Suppose -t*o = 31 - 251. What is o rounded to the nearest 10?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-13)\/21 + 6\/21. Let q = 4.127 - -0.043. Let n = q + -0.17. Which is the smallest value?  (a) n  (b) 0.3  (c) y  (d) 2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -581115 not equal to -581115?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 8 + 4 - 64 - 102082*x + 52 + 102083*x.\nAnswer: x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3658 is divided by 37.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand 3 + 3 + 3*c**3 - 4*c**3 + c**2 + (3*c + c**2 - 3*c)*(c + 2*c - c) - 4*c**3 + 3*c**3 + 3*c**3.\nAnswer: 3*c**3 + c**2 + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 1\/3  (b) 7\/171  (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3 + 0 = -b. Suppose -m + 0*m = -h + 27, 3*m + 141 = 5*h. Suppose -10 = 2*u, 0 = 2*d + 3*d + 5*u - h. What is the lowest common multiple of d and b?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 2280 or 20163?\nAnswer: 2280","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 22925?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let f(s) = s**2. Let w(h) be the third derivative of h**5\/60 - 537*h**3\/2 + 186*h**2 - 15*h. What is w(f(c))?\nAnswer: c**4 - 1611","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 59388 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let m(i) be the second derivative of 11*i**5\/20 - i**4\/3 + i**3\/2 + 2*i**2 - 18*i. List the prime factors of m(2).\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 484\/161066293 + 111208884145371811\/2899193274. Let z = -38368977 + a. Let b = z + 10412. Find the common denominator of 89\/10 and b.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -z**4 - 2*z**4 + 2*z**4 + (16 - 16 - 33*z**2)*(-2*z**2 - 2 + 2) - 3*z**4 + 4*z**4 - 3*z**4 to o + h*z**3 + q*z + u*z**2 + b*z**4 and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 148 + -144. Calculate the common denominator of 23\/26 and ((-118)\/m)\/(-3 - 2) - 1.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -8*b = -40*b + 32 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 183 is divided by 168?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Express (5*o + 0*o - 4*o)*(-3 - 1 + 2) - 2*o + 6*o - 3*o - 197 + 428 - 117*o - 223 as j*o + b and give b.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let c(a) be the second derivative of a**5\/60 + a**4\/8 + a**3\/3 + 5*a**2\/2 + 7*a. Let s(k) be the first derivative of c(k). Factor s(n).\nAnswer: (n + 1)*(n + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 14404412 (base 5) to base 11.\nAnswer: a5557","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(84) + sqrt(84) + sqrt(84) + sqrt(84)*-3)*4 + sqrt(84) - 5*3*sqrt(84))\/(-1*sqrt(1200)*1*-4))**2.\nAnswer: 343\/400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-13 - (-10 - -2)) + -4.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -26.60422 - -26.56. Let g = s - -0.044. Round g to five decimal places.\nAnswer: -0.00022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -g + 2*g - 2 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let l be ((-3)\/1 + 0)*1. Which is the closest to 1?  (a) 4  (b) l  (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -56 - 73?\nAnswer: -151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let q(v) = -4*v**2. Let l(o) = -347*o**2 + 370*o**2 + 3 - 3 - 257*o + 255*o. Calculate l(q(i)).\nAnswer: 368*i**4 + 8*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 711908191?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, -1, 4, -4774, -225 in ascending order.\nAnswer: -4774, -225, -4, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 1 + -1 + 1*3. Let h(a) = a. Let b(j) = -15 + 50 - 18 - j - 16. Calculate q*h(z) + b(z).\nAnswer: 2*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 24439 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*k = -3*n + 12, 0 = -4*n + k + 16 + 10. Let i be (16 - n)\/(1 - -1). Determine g, given that -2\/3*g**i + 2\/3*g**3 + 0*g**2 + 0 + 0*g**4 + 0*g = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 11936682?\nAnswer: 2, 3, 663149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z**(-4\/5)\/z**(-8))**(-4\/3) assuming z is positive.\nAnswer: z**(-48\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 3146 - 3132. Let j(k) = k**3 - k**2 - k - 1. Let q be j(0). Let u be ((12\/3)\/q)\/(-2). Solve -z = u*z - 2*s - o, z = s + 6 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(z) = -2*z**3 + 3*z**2 + 5*z. Let x(i) be the third derivative of -i**6\/24 + 2*i**5\/15 + 7*i**4\/12 + 5*i**2. Give -8*p(y) + 3*x(y).\nAnswer: y**3 + 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -1, -1.8, 2.63, 1, -472?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -38533 in -0.5, -3, 4\/19?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11*j + 7*j + 20 = 0. Suppose -4*g + 61 = -5*f, 0 = -j*g + 2*f + 28 + 61. What is the greatest common factor of 19 and g?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*o = -2*n - 2247, 4*o - 2534 = n - 734. What is the second derivative of -74*l**5 - 415*l + o*l + 172*l wrt l?\nAnswer: -1480*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1 + 190321521*r**3 - 1 - 190321549*r**3.\nAnswer: -28*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2*z + 2*z + 3*z**2 - 5*z**2 + 3 to the form d*z + p + w*z**2 and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1*((-4)\/(-6))\/((-17)\/(-2295)*-6).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 51  (b) -4  (c) -30172\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -6\/565, -15, -5.2, -0.5, 4?\nAnswer: -6\/565","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 1\/403 or -1?\nAnswer: 1\/403","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.1 in -0.626, 6, -59, -2\/13, -2, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let w(o) = -38*o - 871. Calculate w(-24).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -1164942 or -1164941?\nAnswer: -1164941","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 216918 a multiple of 117?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 3634026 + 1022?\nAnswer: 3635051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 50 = 10*x - 6*x + 5*a, 3*x + 4*a - 39 = 0 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is -12.6 take away 142910?\nAnswer: -142922.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 162400687 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -1651 + 1651.4. What is the nearest to 0 in h, 3, 4, 19?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 22885?\nAnswer: 5, 23, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: (-9)\/((-378)\/(-154))*(-9)\/(3*(-6)\/(-18))\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 92 + (-105 + 120 - 125).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from cjjbbwb. What is prob of sequence ccww?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 19265 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -54, -94, -120, -126, -106, -54?\n\"Answer: g**3 + g**2 - 50*g - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 8.4 in 3\/4, -1, -0.2?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v**(-7))**(-20)*(v\/v**(-3\/13))\/((v**(-6\/5)*v)\/v*v) assuming v is positive.\nAnswer: v**(9193\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (8\/(-498))\/(20*(-594)\/9801*11\/(-10))?\nAnswer: -1\/83","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 304 is divided by 68.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1697*m - 9880*m + 2788*m.\nAnswer: -8789*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -0.066 - -0.091. Let c = -0.093 + d. What is c rounded to 2 decimal places?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*d**3\/2 + 33*d**2\/4 + 9*d\/2.\nAnswer: -3*d*(d - 6)*(2*d + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 5276 is divided by 19.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -26.2, -2, -0.89?\nAnswer: -26.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 0\/(156\/52 - (-10)\/(-2)). Solve 0*t - 3*t + 2*s + 8 = o, 2*t = -s + 3 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -0.2, -0.1, -2, 2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2714688?\nAnswer: 2, 3, 1571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Convert -3 (base 14) to base 7.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -9 - -17\/2. Suppose d + 7*m - 2*m = 16, -d = -3*m + 8. Which is smaller: d or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -b = 180*c - 175*c + 19, -12 = -2*b. Put 31, 4, 3, c, 7 in descending order.\nAnswer: 31, 7, 4, 3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -67 - -67. Suppose -1 = -q + g, -7 = -n*q - 5*q + 4*g. What is the second derivative of -7*p - 4*p + p - q*p**2 + 0*p wrt p?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(o) = 36*o**2 + 0*o + 0 + 1 - o. Let y(i) = -143*i - 1575. Let s be y(-11). What are the prime factors of l(s)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(a) = 11*a - 14. Let r(p) = 9 + 3*p - 1 - 8*p - 1. Let f(z) = -2*d(z) - 5*r(z). Give f(7).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -6 (base 8) to base 9.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 66*o = -95172*h + 95176*h + 330, -25 = -5*o - 3*h for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2 + (3*sqrt(1088)*1 - (sqrt(153) + (sqrt(153) - (sqrt(153) - (2 + sqrt(153)))))**2*-5).\nAnswer: 144*sqrt(17) + 3078","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 1041 a factor of 4955160?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 142 minutes after 9:26 PM?\nAnswer: 11:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 871?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from xxvxxxxxxvvxxtxx. What is prob of sequence xt?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 130 + -1330320?\nAnswer: -1330130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose u = -0*n - n + 1127, u = 2. Suppose 2*k + 2*y - 3*y = 447, -5*k + n = 5*y. List the prime factors of k.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -9 + 12. What is the second derivative of -5*z + 2*z + 6*z - 2*z**n wrt z?\nAnswer: -12*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-4)\/(-54) - (2\/(-12))\/(45\/29410). Let l = -1 + 3. Suppose -l*y = -j - 119. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be -4 + (6 + 18549 - -1). Suppose -s - f = -6*s + 23183, -4*s + j = 2*f. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -3299.2 - -3299.4. Let f be 2\/1*(-2)\/6. What is the nearest to 5\/3 in f, -5, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4276 = 3*j - 2*x, 4*j - 5713 = 8*x - 3*x. Suppose 8*u = 2002 + j. List the prime factors of u.\nAnswer: 2, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 - 3 - k)*(439 + 986 - 60)*(-1 + 0 + 0)*(3*k**3 - k**3 - k**3).\nAnswer: 1365*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 61\/570 + 1\/38. Let y(h) be the second derivative of f*h**6 - h**2 + 0*h**5 + 0*h**4 + 0*h**3 + 0 - 3*h. What is the first derivative of y(d) wrt d?\nAnswer: 16*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (10\/(-14))\/(25\/5*35\/(-10)).\nAnswer: 2\/49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 182 = 6*q + 170 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 8 in 18\/5, 3\/2, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 44 and 428164.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -403\/755 + -10\/151. Let b be 1 + (-2 - -3)*-11. Let o = b + 11. Sort 0.3, u, o in descending order.\nAnswer: o, 0.3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {m: 3, g: 1, f: 10, n: 1}. What is prob of sequence nfm?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -103  (b) -8  (c) 21\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 1710483 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: Which is the closest to 0.7?  (a) -1\/8  (b) 0.3  (c) -1\/50\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let b(a) be the second derivative of a + 0*a**2 + 3\/20*a**5 + 1\/4*a**4 + 0*a**3 - 1\/5*a**6 + 0. Factor b(f).\nAnswer: -3*f**2*(f - 1)*(2*f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*n + n + 3*h = -96, -4*n - 320 = -4*h. Let s = n - -147. List the prime factors of s.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -1034411241014 - 4?\nAnswer: -1034411241023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 8757665?\nAnswer: 5, 7, 59, 4241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 17\/4310 and -99\/1724.\nAnswer: 8620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -1.1 + 1.24. Let o = k - -0.1. Let x = -0.34 + o. What is the biggest value in x, 1.3, 1?\nAnswer: 1.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(h) = -h**3 - 24*h**2 - 22*h + 27. Let f(i) = -i**3 + 17*i**2 + 3*i - 74. Let r be f(17). What is the smallest common multiple of a(r) and 36?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 1 + -100101101001000?\nAnswer: -100101101000111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -227 - -249. What is the second derivative of 12 - q*u + 4*u**5 + 42*u**5 - 14 - 44*u + 139*u**5 wrt u?\nAnswer: 3700*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -4143314 greater than or equal to -4143313?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 2.8986375372 from 2.\nAnswer: -0.8986375372","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 6435132351511\/12265998 - 166306002\/317. Let b = 2\/6449 - f. Find the common denominator of b and 119\/10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2 - 86 = -7*w. Which is smaller: w or 105\/8?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 6210\/(-108)*-2*(-3)\/(-30)*196\/(-49).\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d(f) = 13*f - 5. Let i be d(5). Suppose -4 = -2*h - 3*q + 49, 0 = 3*h - 2*q - i. What is the least common multiple of 16 and h?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 17 - 34 + 17 + 10*s**2.\nAnswer: 10*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let r(q) = -13212*q. Let z(u) = -5044*u**2. Give r(z(p)).\nAnswer: 66641328*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence dqdq when four letters picked without replacement from dqqqqqqqqqqyqdn?\nAnswer: 11\/1638","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 79\/23014 and -70\/933.\nAnswer: 69042","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 26527 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*n - 4*h - 12 = 8, 3*h + 19 = 4*n. Suppose -16 = -4*m - 4*q, 9 = 2*m + 9*q - 6*q. Solve n = -m*t + 5*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 423 - 358. Calculate the highest common divisor of y and 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(q) = -q - 110. Give i(0).\nAnswer: -110","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:09 AM and 3:12 PM?\nAnswer: 363","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"}
{"text":"Question: Let d = -405 + 496. Calculate the remainder when 998 is divided by d.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*m = 4*m. What is the common denominator of 15 and (m - (-22)\/7)*-2?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2 + 3*sqrt(11) + (sqrt(11) + -3)*1)**2.\nAnswer: -8*sqrt(11) + 177","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -25*q**2 - 30*q**2 + 109*q**2 - 31*q**2 - 24*q**2.\nAnswer: -q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 187 + -177. Solve -y*r = -3*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 12.9 + -12.899482. What is x rounded to five dps?\nAnswer: 0.00052","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ldecezb. Give prob of picking 2 e.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 34 a factor of -340*(24\/(-160) - 2\/8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((i\/(i**3\/i)*i**(2\/7))\/(i**(-1\/15)\/(i*i**(2\/17))))**(-3\/5) assuming i is positive.\nAnswer: i**(-839\/2975)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: -13 (base 13) to base 2\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j(o) = 3*o**3 - 2*o**2. Let m(q) be the third derivative of q**6\/20 - q**5\/12 - 1871*q**2. Suppose 4*d - 2 = 10, d = v + 5. Calculate v*m(x) + 5*j(x).\nAnswer: 3*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -67*r + 256*r**3 - 17*r**2 + r**4 - 26*r**2 + 261*r**3 - 30 - 522*r**3 = 0.\nAnswer: -3, -1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of s*y**6 - 56*s*y**3 + 2*s*y + 51*y**2 wrt y.\nAnswer: 120*s*y**3 - 336*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose r + 3*u - 20 = 0, -4*u + 30 = 5*r - 3*u. Suppose 4*j + 5*m - 2 = 0, -23 = -r*j + 3*m + m. Let p = -252 - -233. Sort p, j, -2, -3.\nAnswer: p, -3, -2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.075 times 0.4\nAnswer: -0.03","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0*b + 4*b + 1477 - 2*b + 4*b - 2*b.\nAnswer: 4*b + 1477","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"}
{"text":"Question: What comes next: -55494, -110988, -166482, -221976?\nAnswer: -277470","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i(l) be the third derivative of -l**6\/360 - l**5\/30 - l**4\/8 - l**3\/6 + l**2. Let y(a) be the first derivative of i(a). Give y(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((f*f\/f**(-12))**(2\/69)\/(f*f\/f**(-1\/3)*(f*f*f**(-6))\/f))**(7\/8) assuming f is positive.\nAnswer: f**(371\/138)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 49\/56*22\/77?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 o and 1 d when two letters picked without replacement from ooooofoffooopdff.\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -71*m = 93*m + 27*m + 955 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify k**0\/((k**(-7\/6)\/k)\/k*k)*(k**(-10)\/k*k)\/(k**10\/k) assuming k is positive.\nAnswer: k**(-101\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*d - 11 = 3*j - 65, 0 = -5*d + 5*j + 60. Let o = -8 + 20. Suppose 3*b + 4*k = 2 + 14, 0 = -2*b + 3*k - o. Solve b*s - 5*s = -d for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve h + 92 = -102*i - 1434, 4*i + 30*h = -0*i + 27*h - 48 for i.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*d = -5 - 11. Let c be (39\/(-9) + d)*-6. Factor 135*y + c*y**3 - 135*y.\nAnswer: 2*y**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 147, 291, 435, 579, 723?\nAnswer: 867","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 208 divided by -17?\nAnswer: -208\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -0.1, 0.1, -0.4, 4\/5, -2\/23?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 18\/(-1)*(-1)\/(-3). Let r(w) = w + 12. Let t be r(o). Suppose -5*f + 2*z + t + 7 = 0, -f = -5*z - 21. Solve 2*x - 3 = f for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 77 times 0.532185\nAnswer: 40.978245","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let k be -25*((-34)\/272)\/((-2)\/4) + 7. What is the biggest value in -0.1, -6\/1969, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 5*v**3\/4 + 34575*v**2\/4 + 8640*v - 17285 = 0. What is v?\nAnswer: -6914, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let m(t) = -3*t - 3. Let k(p) = 1. Let s(h) = -2*k(h) - m(h). List the prime factors of s(13).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(i) = 2*i**3 - 7*i**2 - 327*i - 5. Let p(f) = f**3 - f**2 - f - 1. Calculate 5*p(w) - r(w).\nAnswer: 3*w**3 + 2*w**2 + 322*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(30)*-5*-5 + sqrt(60)\/sqrt(50))\/(((sqrt(360)*-2)\/sqrt(6))\/((sqrt(30)*2)\/sqrt(5))))**2.\nAnswer: 47628\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -1837, -3674, -5511?\nAnswer: -7348","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j(d) = -d**3 + 15*d**2 - 3*d - 107. Calculate the remainder when 751 is divided by j(14).\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 6734765819 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let c(k) be the first derivative of -k**3\/3 - 9*k**2\/2 - 9*k - 10. Let n be c(-7). Solve -n*q + 20 + 0 = 0 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(l) = 80*l**3 + 6*l**2 - 8. Let n(k) = -k**3 - 2. Determine d(m) - 4*n(m).\nAnswer: 84*m**3 + 6*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 25*j + 130 + 20 for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2\/7 in 54, -74, -2\/3, 3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 1596915901 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -p**5 - 406*p**4 + 14708*p**3 - 111528*p**2 - 285120*p = 0. What is p?\nAnswer: -440, -2, 0, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -0.05 + 0.03. Let v(u) be the first derivative of u**4\/4 - 9*u**3 + u**2\/2 - 25*u - 21. Let s be v(27). Which is smaller: s or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*m - 1267 - 338 = 0. What is the remainder when m is divided by 36?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -3\/242, 1\/10, 2\/679, -1, 2, 3, 1\/8?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let o be ((-162)\/(-90))\/(3\/10). Find the third derivative of 7*a**o + 30*a**2 - 11*a**2 - 4*a**6 + 3*a**6 wrt a.\nAnswer: 720*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*(0 + 6*(sqrt(320) - sqrt(320)*-2)) - (0 + (sqrt(320) + 4*(sqrt(320) + 0 + sqrt(320)) + sqrt(320))*-6))**2.\nAnswer: 184320","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.1 in 0.3, 2\/5, 2, -1\/4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 59\/34156235 and -27\/27324988?\nAnswer: 136624940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -6857 + 75376\/11. What is the common denominator of q and -30?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 31 + (192\/240)\/(4\/(-50)).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) -12  (b) 1228  (c) 5  (d) 2  (e) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0 in 8, -1\/3, 0.1, -3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 16 and 284?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 56569.\nAnswer: 56569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(19) + 2)*-2*-6)**2 + -2.\nAnswer: 576*sqrt(19) + 3310","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -3388258\/27 + 125464. Let z = d + 15974\/459. Is 8 > z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 203 and 29.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, -4, 4\/3, -1 in descending order.\nAnswer: 5, 4\/3, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let c(q) = q**2. Let x(k) = 72*k + 4. Let d(m) = 141*m + 7. Suppose 7*t - 4 = -2*n + 9*t, 2*n = 4*t - 6. Let s(g) = n*x(g) - 4*d(g). Calculate c(s(u)).\nAnswer: 3600*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 341 and 209?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let j(p) = -131*p + 6. Let s(l) = l. Let y(x) = j(x) + 3*s(x). Let n be y(-6). Suppose 3*a - 318 = 5*m + 458, 3*a - n = 3*m. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 1.9 - 3.1. Let i = -1.3 - f. Let r = 109\/12 - 25\/3. What is the second biggest value in i, -4\/9, r?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from uyvyy. What is prob of sequence uyv?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 7.6*4.\nAnswer: 30.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let v(u) = 2*u**2 + 10*u + 10. Let p be v(-8). What is the common denominator of p\/(-10)*20\/(-16) and (-8 - -5)\/((-66)\/(-16))?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 470045953?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -1556, -1540, -1510, -1460, -1384, -1276, -1130, -940?\nAnswer: -700","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r(m) be the third derivative of -m**5\/30 + m**2. Suppose -3*l - 2*u = l - 14, 6 = 2*u. Let o(c) = l*c + 2*c - 3*c. Determine o(r(a)).\nAnswer: -2*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 5917.\nAnswer: 61, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: 1011112002221221 (base 3) to base 2\nAnswer: 111111111001111100000111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 68 a factor of 112880?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Determine k so that 2*k**3\/11 + 794*k**2\/11 - 3232*k\/11 - 9624\/11 = 0.\nAnswer: -401, -2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -2.1 + 0.1. Suppose 0 = -5*t + 10 + 10. Suppose 4*m - 18 = -w + 8*m, -4*w - 3*m - t = 0. Which is the second smallest value?  (a) w  (b) j  (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(k) = 78*k**3 - 49*k. Let m(t) = -52*t**3 + 33*t. Let v = 125 - 226. Let a = 106 + v. Let d(l) = a*f(l) + 7*m(l). Find the second derivative of d(s) wrt s.\nAnswer: 156*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(s) = -12*s**3 + 57*s**2 + 11*s + 16. Give l(5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 120\/17  (b) -2\/3  (c) -4  (d) 4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -346\/2497 - -1323841\/814022. Let v = o + 2\/163. Is v bigger than -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -2 + (9 + 35 + -40 - (1 + 13))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.2960477ml to litres.\nAnswer: 0.0002960477","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m(c) = c**3 + 2*c**2 - 11*c - 6. Let d be m(-4). Let u(g) = 4*g - g - d + 3. Let p(f) = -f + 1. Let v be (1\/3)\/((-10)\/60) - -6. Give v*p(n) + 2*u(n).\nAnswer: 2*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -9387.49 - -9437. Round l to the nearest integer.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 - 4 + 4)*(-53*q + 2*q**2 + 53*q)*(-2*q**2 + q**2 + 2*q**2).\nAnswer: -2*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let a(q) = -2*q**3 + 2*q**2 + 5*q + 2. Suppose -14*l = 74 - 32. What are the prime factors of a(l)?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(y) = -y**2 + y + 1. Let r(b) = b**2 + 5*b - 10. Let f(c) = -6*g(c) - 2*r(c). Let o = 144 - 131. Is f(o) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0*n = -18*n - 126 for n.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let a(l) be the third derivative of -l**9\/252 + l**7\/35 + 481*l**5\/60 - 6*l**2 - 2. What is the third derivative of a(k) wrt k?\nAnswer: -240*k**3 + 144*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(q) = q**2 - 12. Let n(w) = -w**2 + 8. Calculate -5*i(g) - 7*n(g).\nAnswer: 2*g**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -2654 + 376?\nAnswer: -2256","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -12156 + 6980. Let t = h - 15624. What is t rounded to the nearest one thousand?\nAnswer: -21000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify j**(3\/14)*j**(-15)*j*j*j**(-14)*j\/j**(-1\/6) assuming j is positive.\nAnswer: j**(-538\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -230 = -6*w + w. Let c be (w\/(-4))\/((-2)\/(-76)). Let g = c + 1300\/3. What is the common denominator of g and 14\/3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(y) = 4*y + 41. What is the tens digit of h(0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence yy when two letters picked without replacement from {i: 11, y: 6, r: 1}?\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 286364587 to the power of 1\/3, to the nearest integer?\nAnswer: 659","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence rgn when three letters picked without replacement from {k: 1, l: 1, g: 1, j: 1, n: 2, r: 1}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {d: 2, l: 1, j: 2, c: 4, f: 1}. What is prob of sequence lf?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 1\/78, 22, -1\/2?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-2)\/((-21)\/(-22) - 1). Let o = 737 - 352. Let p = o - 275. Calculate the greatest common divisor of p and m.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 8 - (-4 + 7) - 9.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m(d) = -d**3 - 33*d**2 - 187*d - 139. Give m(-26).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 1.835 from 0.5.\nAnswer: -1.335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 44 is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1561?\nAnswer: 7, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 1179602*a*t + 133593*t - 50 wrt a?\nAnswer: 1179602*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 2\/9 + 366140\/(-9). Let d be ((-15)\/4)\/((-11)\/t). Let r = 13864 + d. Calculate the common denominator of r and 57\/4.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 2 or 31\/12?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -9*w - 15 - 318. Which is bigger: -39 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*f + 3*n = -2*n + 12, -3*f = 3*n - 18. Find u, given that 0 + 1\/5*u**f + 0*u = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1692*x - 611*x + 71510 = 4848*x for x.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 5797390, 5797388, 5797386, 5797384, 5797382, 5797380?\nAnswer: 5797378","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*j - 3*f + 23 = 0, 0 = -5*j - 5*f - 24 + 69. Suppose -3*t - j*k = 15, -8 = t + 4*t + k. Calculate the remainder when 39 is divided by ((-35)\/5)\/(t\/2).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-20)\/6*90\/75.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -10c - -4?\nAnswer: -108","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Put 39, 0.3, 6, 18, 0.1, -0.1 in ascending order.\nAnswer: -0.1, 0.1, 0.3, 6, 18, 39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*k - 153 - 11 = 0. What is the units digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 840425 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (2084\/8)\/(-1 - (-6)\/4). Suppose 4*w + 4*j - 828 = 0, -2*w - 5*j + b - 113 = 0. What is the hundreds digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(f) = -4*f + f**3 - 3*f**3 - 4*f**2 + 0*f**3 + 3*f**3. Let n be x(5). Suppose 0*w + 2*w + 2*k = 18, 4*k - 45 = -n*w. What is the units digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(t) = 8*t**2 - 6*t. Let x(g) = -g**2 + g. Suppose 5*q = -3*u + 4 + 15, 7 = u + q. Suppose -3*o - 1 = u. Let c = -9 - o. Determine c*x(m) - v(m).\nAnswer: -2*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 6351 to the nearest integer?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -14772, -29592, -44418, -59250, -74088?\n\"Answer: -3*z**2 - 14811*z + 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 6 - 65. Let z = -216.95 + 159.1. Let u = z - i. What is u rounded to one decimal place?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 252 divided by -63.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -42113*q**3*x**2 - 1124*q**3*z + 24958*q**2*x + 2*x**2 + 1973*x*z wrt q?\nAnswer: -252678*x**2 - 6744*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let k(w) = -w**2 + 3402*w + 404471. Calculate k(-115).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 10 - 4. Let z = o - 4. Let b = 97 - 101. Sort -1, z, b in decreasing order.\nAnswer: z, -1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 17 + 13 = 5*p. Let r = -81173 - -81253. What is the remainder when r is divided by p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 21299 to the power of 1\/4, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0?  (a) 70  (b) -81  (c) 3  (d) 7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -190.1 + 190. What is the nearest to 0.4 in b, -1\/2, 5?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-2691)\/(-299)*(-2)\/12?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 17821 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*a + 10 = -4*r - 1, 0 = -4*a - r - 19 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 418*m + 1283 = -277*m + 9623 for m.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let z(p) = -p**3 + 8*p**2 + 364*p - 285. What is z(-16)?\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 194390 and 124040?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 19606554?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let l(f) be the second derivative of f**4\/6 + f + 227. Let a(h) = 110*h**2. What is l(a(u))?\nAnswer: 24200*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 3747 + -2474. What is the highest common factor of o and 67?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 13 = -5*d - 2*m, d + m + 2 = 3*d. Which is smaller: 8 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(v) = -2*v - 10. Let m be k(-5). Suppose 0*t + t - 2 = m. Solve 2 = 3*j - t*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 0 or 68\/5780715?\nAnswer: 68\/5780715","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 24784 is divided by 662?\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 66*s**2 + 71*s**2 - 140*s**2.\nAnswer: -3*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1\/5 in 2053, 1\/2, 2\/9, -5?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Total of -10.282 and 5.\nAnswer: -5.282","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Express -49205 + 49205 + 4833*w as y + n*w and give n.\nAnswer: 4833","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 738 = 16*r - 3006. Does 6 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*r - 6, 2*z + 0*z = 4*r + 96. Suppose 2*y - 162 = -3*y - 3*k, 2*y - z = 4*k. What is the units digit of y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -130220659 by 130220659.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 69439543 to the nearest integer?\nAnswer: 8333","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Sum -3 and -1410.38339.\nAnswer: -1413.38339","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 0.4, -2, -9\/10, -0.1?\nAnswer: -9\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let i(n) = 15386*n - 323267. Calculate i(21).\nAnswer: -161","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -1505241452 - -5?\nAnswer: -1505241443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify s\/(s**(2\/13)*s)*s\/(s\/(s*s**3*s)) assuming s is positive.\nAnswer: s**(63\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 2\/7  (b) -3\/7  (c) 9  (d) -0.84  (e) 6  (f) -89\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let d(k) be the first derivative of -7*k**5 + 3*k**4\/2 + 10*k**3 + 7*k**2 - 401. What is the third derivative of d(h) wrt h?\nAnswer: -840*h + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 r and 2 h when four letters picked without replacement from hhrhhrrhhhrhhhhr.\nAnswer: 55\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 31504 to the nearest integer?\nAnswer: 177","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 382?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -60 - -34. Let t be (-338)\/(-2)*(-9 - -7). Is 13 a factor of (-4)\/a - 13130\/t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -16 - (10 - -3 - 23)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*t - 209 = -0*t - w, 5*t + 4*w = 518. Let a = -8 + t. Suppose h = 4*h - 60. What is the remainder when a is divided by h?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -30454254 divided by -147122.\nAnswer: 207","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3 + 36*u**2 - 136*u**2 - 22*u + 22*u + 98*u**2.\nAnswer: -2*u**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let m(l) be the third derivative of l**4\/24 + l**3 - 2*l**2. Let n be (-5)\/3 - 20\/15. Let w be m(n). Let r(g) = g**3 - 4*g**2 + 3*g - 3. Determine r(w).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 45324, 45208, 45014, 44742?\n\"Answer: -39*n**2 + n + 45362","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-3 + (-3 - -4))\/((-2)\/4). Put 0, 10, -5, i in descending order.\nAnswer: 10, i, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in -11, 1\/23, -9, -4, 2?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.011747468198 to seven decimal places.\nAnswer: -0.0117475","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -6953 + 6948. Let r = 1.28 - 17.28. What is the biggest value in r, x, -2, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 60456\/48 - (-1)\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -v + 218 - 37 = 0. List the prime factors of v.\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.09 times 50973\nAnswer: 4587.57","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (1 + 0)\/((-15)\/(-42)). Let k be (1 - ((-42)\/9)\/1)\/(-5). Let w = k + y. What is the third smallest value in -2\/13, w, -8?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(x) be the first derivative of -x**3 - 276*x**2 + 2438*x + 545. Differentiate n(a) with respect to a.\nAnswer: -6*a - 552","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 y and 1 w when two letters picked without replacement from wwyyyyyyyywywy?\nAnswer: 40\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 152100 + -5?\nAnswer: 152051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -2  (b) 10  (c) -1\/23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (6*(0 + sqrt(363) + 2 + sqrt(363) + 4 + -2 + sqrt(27) + -3))**2.\nAnswer: 1800*sqrt(3) + 67536","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let b(o) = -o**3 + 36*o**2 + 122*o - 5490. Calculate b(35).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let g(q) = -8*q**2 - 7*q**2 - 15 - 7 + 6*q**2 - 795*q + 791*q + 2*q**3. Determine g(5).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3*z + 112377*z**2 - 294154*z**2 + 3*z.\nAnswer: -181777*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 12\/(-18)*7\/2*384\/(-64)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 u, 1 x, and 1 d when four letters picked without replacement from {m: 1, d: 1, u: 2, x: 4}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let f be ((-4)\/5)\/(108\/(-41850)). What is the greatest common divisor of 70 and f?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 614 by -2.\nAnswer: -307","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 6821670599 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.1?  (a) 0.023  (b) -3  (c) -1\/6  (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let q(u) = 4*u**2 + 4*u - 5. What is the smallest common multiple of 8 and q(1)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: 472 (base 13) to base 10\nAnswer: 769","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 16*p**2 - 7*p**2 - 3 - 5.\nAnswer: 9*p**2 - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 1\/2 - (-34)\/(-52). Let p = 0.05 + -0.55. What is the third smallest value in p, 0.5, k?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a*a*a**12*a)**47\/(a*a\/a**(-1)*a**(-37)) assuming a is positive.\nAnswer: a**739","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let c(m) = -4*m + 70. Calculate c(16).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 815416032 to the power of 1\/2, to the nearest integer?\nAnswer: 28555","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the sixth smallest value?  (a) 140  (b) -2\/13  (c) -0.5  (d) -3  (e) -2  (f) 2  (g) 330\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -64, -414, -998, -1816, -2868, -4154?\nAnswer: -5674","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -3\/5  (b) 163  (c) 5.4  (d) 0.2  (e) 3\/7  (f) 4  (g) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 34, 192, 456, 826, 1302, 1884?\nAnswer: 2572","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 15 + -434 + 402 + (-2 - 0) + 0.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence nee when three letters picked without replacement from qnqezee.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-2)\/((-16)\/(-100)))\/(217\/(-434)).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 q, 1 d, 1 f, and 1 s when four letters picked without replacement from sqdff.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 31008, 62044, 93074, 124098?\n\"Answer: -3*t**2 + 31045*t - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*u - 5 = -5*n, -n + 5*u = -0 - 13. Let q be (2\/n)\/(3\/9). What is the first derivative of 3 + q + v + 0 wrt v?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from iejisseueitssss. What is prob of sequence sjui?\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 127\/360 and 103\/96300?\nAnswer: 192600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let i(s) = -2*s - 37. Let x = -180 - -160. Let o be i(x). Solve 0 = 3*w + 3, -2*f - o*f + 4*w = 1 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 39.34 + -39.2. Which is the second smallest value?  (a) 2\/9  (b) 5  (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 163 a factor of 578650?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 15*i + 98 - 23 = 0 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 5060 to the power of 1\/3, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let c(k) = -6*k - 465 - 457 + 920 + 4*k. Let o(q) be the third derivative of q**4\/24 - q**2. Let n(g) = c(g) - 2*o(g). What is n(-2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -6103 - -6135. Solve -20*a + 28*a = d for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 80 and (-1 + -17)*(-17 - (-2 - 7))?\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*n - 15 = 0, -4*n - 16 = -17*m + 21*m. Let w be (0 + 0 - -1)\/(-1). Sort w, -3, m in ascending order.\nAnswer: m, -3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 25\/196461 and 179\/90?\nAnswer: 1964610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.06?  (a) 0.5  (b) 5  (c) -4125\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -25 = -3*a + 4*v, 2*a - 7 = 5*v + 19. Let k be (-2)\/(-19 + 24\/a). Find s such that -6\/11*s**2 + 0 + k*s**3 + 4\/11*s = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -112203 (base 4) in base 13?\nAnswer: -870","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 6\/5 of a millimeter in micrometers?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 592 + -77. What is the hundreds digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (2*w + 20 - 5*w - 4*w)*(-300 + 300 + 48*w) as q + x*w + d*w**2 and give x.\nAnswer: 960","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -75 + 77. Suppose a + 0 = d. What is the third derivative of -6*i**4 - 20*i**2 + 43*i**d - 15*i**2 wrt i?\nAnswer: -144*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor s**2\/2 + 3*s + 9\/2.\nAnswer: (s + 3)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let l(s) = -4*s**2 - 2*s + 2. Let w be l(1). What is the remainder when 13 is divided by (-3 - w)*5\/1?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*h - 3*h = -3*r - 15, 2*h - 4*r = 16. Suppose 90 = -5*w + h*l, -5*w + 8*l = 3*l + 75. Let k = w + 28. What are the prime factors of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the sixth biggest value?  (a) 0.19  (b) 3\/511  (c) 0  (d) 0.5  (e) 1\/4  (f) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 48584 and 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 4089*a*f**3*t - 2*a*f**3 + a - 4*f**3*t**2 + 53*f**2*t + 7*f**2 - 13*f*t**2 wrt f.\nAnswer: 24534*a*t - 12*a - 24*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*f - 20*f + 4403 = 0. Let a = f - 224. Calculate the highest common factor of a and 35.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(a) = 7*a**2 - 13*a + 89. Let v(g) = -3*g**2 + 5*g - 43. Determine 2*l(o) + 5*v(o).\nAnswer: -o**2 - o - 37","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1\/5 in -0.4, 0.1, 21\/8?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1788 = -98*i - 172 for i.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -339, -343, -347, -351, -355, -359?\n\"Answer: -4*x - 335","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*y + y = 12. Suppose h + 2*x - 5*x - 15 = 0, 26 = 4*h + 5*x. Calculate the remainder when h is divided by y.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(i) = 40*i**2 + 1806*i - 3780. Calculate j(2).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let k(i) = 140*i**2 + 17*i + 97. List the prime factors of k(-4).\nAnswer: 2269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -1.1 + 5648832.\nAnswer: 5648830.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 2705 + -4179. Let y = -661 - j. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -73 + -c95c0?\nAnswer: -c9653","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 0.78  (b) -2\/35  (c) -2\/11  (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 75047511, 75047508, 75047503, 75047496, 75047487?\nAnswer: 75047476","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, -3, -2, 297497.\nAnswer: -3, -2, 0, 297497","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*g = 9*g - 3249. Let s = g - 223. List the prime factors of s.\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(l) = -19*l**2 + 13*l - 8. Let t(u) = 4*u**2 - 2*u + 1. Let o(r) = -f(r) - 5*t(r). Let j = -38 + 42. Determine o(j).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -i - 2*k = -161, -2*k + 805 = 5*i + 2*k. Suppose 24 + 22 = 2*t. Calculate the greatest common divisor of i and t.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -16c3 (base 16) in base 6?\nAnswer: -42551","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -6*i**2 - 1316*i + 1316*i - 13*i**2.\nAnswer: -19*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 87.99 + 1.01. Let m = -160.592796 + 249.5927886. Let n = q - m. What is n rounded to 6 dps?\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -62*x = 22*x - 5964. Calculate the remainder when 268 is divided by x.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 11528*q**2*s**3 + q**2*s + 2*q**2 + 316*q + 3 wrt s?\nAnswer: 34584*q**2*s**2 + q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Express 19 - 368*h + 370*h - 3*h**2 - 2*h**3 - 4 in the form p*h**2 + s*h + u + c*h**3 and give u.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -2\/9  (b) -2\/10484901  (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -330 + 4?\nAnswer: -327","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Does 7 divide 39426?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-27 - 6) + 7 + -33 + 51 + -43.\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -24119, -48155, -72191, -96227, -120263?\n\"Answer: -24036*p - 83","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve t - 20 = -4*a - t + 4*t + 3*t, 0 = -4*t for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2\/17?  (a) -33\/5  (b) 3\/4  (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Divide 115132176 by -19188696.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.009153156 to five dps.\nAnswer: -0.00915","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let b(k) = 2*k**2. Let z(i) = 6*i + 31*i**2 - 83*i**2 - 6*i. Determine b(z(d)).\nAnswer: 5408*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -100 + 11?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-2 + sqrt(72) + 0 + -1)*-2)**2.\nAnswer: -144*sqrt(2) + 324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*i = -9 + 13, -i + 11247 = c. List the prime factors of c.\nAnswer: 2, 19, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -244 = 7*r - 15*r + 90 - 30 for r.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 134588.\nAnswer: 2, 33647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (1 - 72\/140) + (38 - (-9858)\/(-265)).\nAnswer: 9\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(2448) + 0)**2 + 3 + 5 + (sqrt(2448) + 0)**2.\nAnswer: 4904","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 22 + 0 + -10 + (3 - 3) + (0 - -6)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 7506 to the nearest integer?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -211, -418, -625, -832, -1039?\nAnswer: -1246","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d(g) = -3*g + 2. Let w be d(-1). Suppose -3*m = -4*m + w. Suppose -k = l - 20, -2*k + 4*l + m = -41. What is the units digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 338 and 3211.\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -36\/49?  (a) -1  (b) 0.05  (c) -1\/4  (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -21\/16 and -91\/7244.\nAnswer: 28976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let c(p) = 15*p + 11. What are the prime factors of c(3)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(i) = i**3 + 16*i**2 + 21*i - 33. Calculate the remainder when t(-11) is divided by 69.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 14 + -8. Let h = q + -5.7. Let w = h - 0.300037. What is w rounded to five decimal places?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -a = 3*a - 628. Suppose -2*n + a = 7. What are the prime factors of n?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 874*b - 35 = 867*b. Let o be 2\/(-5) - 57\/(-5). Suppose -b*r + o + 4 = 0. Solve -w + 18 = -4*n, r*w - 2*n = -n - 1 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(r) = 18*r. Let j(x) = x + 4. Let f be j(-4). Let k(i) = f*i**2 + 4*i - i**2 - 4*i. Determine c(k(h)).\nAnswer: -18*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Divide -1655028 by 93.\nAnswer: -17796","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let z(g) = -2*g**3 + 20*g**2 - 22*g + 43. Calculate z(9).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 56613?\nAnswer: 3, 113, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence fff when three letters picked without replacement from {c: 3, f: 5, z: 1}?\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 6 + -5.9904. Let y = q + -0.01. Round y to four dps.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1441*-40.\nAnswer: -57640","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let -3*j**5 + 1809*j**4 - 303819*j**3 + 18342807*j**2 - 301826178*j - 320474616 = 0. What is j?\nAnswer: -1, 28, 101, 374","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 585\/(-9828) - 1\/12. Sort 1, -1\/3, y, 5 in decreasing order.\nAnswer: 5, 1, y, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -653 + 663. Suppose -i*d - 1438 = -1428. Let f(m) = -13*m**2 - 1. Calculate f(d).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ws when two letters picked without replacement from sswsssssswswwswwss?\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 36 - 30. Let z = h + -5.9608. Round z to 3 dps.\nAnswer: 0.039","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put together 1 and 4369183.1032.\nAnswer: 4369184.1032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 12834195 and 1155?\nAnswer: 89839365","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 12.9 + -12.6. What is the closest to -0.1 in z, 2\/9, -7?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 1.8 - 2.8. Let n = 4 + -3.96. Let h = n - -0.06. Is w <= h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 676 + -671. Suppose 0 = n*a - i - 6000, -a + 1219 = -31*i + 27*i. Is 23 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(k) = k**3 - 9*k**2 - 878*k + 5386. Give n(6).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*j - 239772 = -2*j - 27*j. Does 76 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand x**5 - 3*x**5 - 4 + 14 - 2*x**5 - 3*x**5 + 4*x**5 + (6*x**2 - 10*x**3 - 6*x**2)*(-3*x + 3*x + 5*x**2).\nAnswer: -53*x**5 + 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 4  (b) -0.1  (c) 1\/7  (d) -4352\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 6702 and 13116.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 11.3 + 89.7. Let u = 177 - n. Let a = 76.000061 - u. What is a rounded to five dps?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -1, -5\/2, 31725?\nAnswer: 31725","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 63453 and 880207.\nAnswer: 1627","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 188 + -187.99999395. What is c rounded to 6 decimal places?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(f) = 18*f. Let p be x(1). Suppose 2*t - 2 = 4*k, -5*k = 4*t + 32 + 29. Let m be (-36)\/((36\/8)\/t). What is the greatest common divisor of p and m?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*q - 1 + 11 = 0. Suppose 2*b + q = 12. Suppose -8*d + b*d = -36. What are the prime factors of d?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*y + 154 = -21. Suppose k - 6*k + 255 = 0. Let h = y + k. Does 16 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*b**5 + 7*b**4 - 5581 + 1640*b**3 + 148*b**4 + 12960*b + 14221 + 7020*b**2 = 0.\nAnswer: -12, -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 0.01  (b) -1  (c) 0  (d) -0.08\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let x(b) = b**2 + 2. Let i(t) = -3*t**2 - 5. Let o(u) = 3*i(u) + 8*x(u). Let s(c) = -c**3 - c**2 - 3. Determine o(z) + s(z).\nAnswer: -z**3 - 2*z**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 34 + (-2 + 20 - (-183 - -182)).\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 7988 to the power of 1\/2, to the nearest integer?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let i(b) = -5*b**2. Let r(o) = 4*o**2 - 16*o**2 + 14*o**2. Give r(i(q)).\nAnswer: 50*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -15, -4, -17, 77, -0.1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let t(y) = -y**2 - 15186*y - 1927423. Give t(-128).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Express 0*m - 2 + 1 + 32*m**3 + 2*m**2 + m - 35*m**3 as y + r*m + u*m**2 + a*m**3 and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 51982729 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"}
{"text":"Question: Let g = 69 - 47. List the prime factors of g.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*n + 2. Let f(u) = -3*u + 1. Let t be f(1). What are the prime factors of t\/(4\/6 + n)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: -11556 divided by 1926\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -11 - 8?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Find j such that j**2 - 5\/2*j**3 + 3\/2*j + 0 = 0.\nAnswer: -3\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 320 minutes after 7:27 PM?\nAnswer: 12:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -575*h**3 + 578*h**3 + 12*h**2 + 21*h**2 to t*h**2 + f*h**3 + r + l*h and give f.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {a: 9, s: 1, p: 3}. What is prob of sequence ppap?\nAnswer: 9\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 22 - 1?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 232482\/(-8) - ((-4)\/16)\/1. Round o to the nearest 10000.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 4.49 - 4.59. Let m = 74 - 371\/5. Put 44, x, m in ascending order.\nAnswer: m, x, 44","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 576 and 3085872.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Convert 42088.82ml to litres.\nAnswer: 42.08882","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 225 + -223. Suppose -3*y + 5 = g*c, -17 = -0*c - 2*c + y. Is c greater than or equal to 43\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 19*u - 18*u = -6, -28 = -2*p + 3*u for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 8*125\/(-400) + 4\/(-10)*-5.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -12822*b**5 - 5*b**2 - 79*b.\nAnswer: -769320*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*u + 13*l + 3*l - 476 - 272 = 0, -6*u + 3*l = 153 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 16884 and 54.\nAnswer: 50652","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -10599 + 21778. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -26 + 56. Let o = -15 + 27. Calculate the greatest common factor of l and o.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 33852 and 108.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let o(r) = -5*r - 5. Let n(y) = -4*y. Let p(c) = 3*n(c) - o(c). Determine p(5).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*5*(5*sqrt(63)*2 + sqrt(252) + 5*(sqrt(252) + -2))*-5)**2.\nAnswer: -3300000*sqrt(7) + 76480000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.91 and -829.07.\nAnswer: 754.4537","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let p(i) = 26*i**2 - 14*i - 4. What is p(-3)?\nAnswer: 272","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let p(l) = 27*l**2 - 6*l. Let f(v) = -27*v**2 + 5*v. Calculate -6*f(b) - 5*p(b).\nAnswer: 27*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*k + 21 = -h, -h + 4 = -4*k + 5*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Work out -8208 * 0.115.\nAnswer: -943.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((v**(3\/20)\/v**(-18))**(1\/2))**(3\/22) assuming v is positive.\nAnswer: v**(99\/80)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let t(m) = m**2 - 5*m + 1. Let d be t(2). Suppose -9 = 10*l + 11. Let w = l - d. Solve -w*h + 7 = -8 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 19499 and 13838?\nAnswer: 629","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -0.056156 + 0.156156. Let u = 0.01 + 1.99. Which is the nearest to 2\/3?  (a) 1\/4  (b) u  (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g*g**(2\/9)*g*g)\/(g\/(g\/(g**(1\/8)*g*g)))*(g*g**0)**(2\/13) assuming g is positive.\nAnswer: g**(1171\/936)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*z = -9*z + 4212. Is z a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*m - 16 - 4. Suppose -p + 2 = 5*y - 22, -m*y = -p + 42. Let t = p + 41. Calculate the remainder when t is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -2\/127 or 3.5?\nAnswer: 3.5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let w(i) = 9*i + 2. Let o(l) = -17980*l - 3190. Give -4*o(m) - 6380*w(m).\nAnswer: 14500*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1?  (a) -0.4  (b) 526.1  (c) 70  (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -457071, -914121, -1371153, -1828167, -2285163?\nAnswer: -2742141","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -36*l + 45*l = 180. Suppose l = -5*g + 405. Suppose p - 197 + g = 0. Does 8 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -11 + 3*p - 2 + 9 + (-1 + 1 + 3)*(2*p - 4*p - p + (0 - p + 0)*(3 + 0 - 4))*(-6 - 27 + 2) to k*p + l and give l.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand 3*h**5 + h**5 - 5*h**5 + (2 - 4 + 0)*(-3*h**3 + 3*h**3 + 10*h**5).\nAnswer: -21*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: -0.2 times 173\nAnswer: -34.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (4 - -3 - 0) + -4. Let p = 0 + 0. What is the second derivative of m*r**3 - 6*r**3 + p + 3*r + 0 wrt r?\nAnswer: -18*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 i and 1 d when two letters picked without replacement from {d: 6, i: 7}.\nAnswer: 7\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let a(d) = 2*d**2 + 4*d + 3. Let x be a(-2). Suppose x*q + 2*c - 10 = q, -3*c = -3*q + 33. Suppose 0*b - q = 4*b. Is b <= -2\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 0 - 10d?\nAnswer: -10d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -752 = -5*c - 4*j, 2*c + 4*j - 8*j - 312 = 0. Calculate the greatest common factor of c and 38.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(g) = 5*g**3 + 10*g - 3*g**3 - 9*g**2 - 3*g**3. Let a be (-14 - 102\/(-8))\/(6\/48). Calculate y(a).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -4*j**5 - 275053*j**4 - 18*j**3 - 219140619*j**2 - j wrt j.\nAnswer: -240*j**2 - 6601272*j - 108","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 193 a factor of 1756675?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let b(t) = t**3 - 6*t**2 - 8*t - 10. Let o(y) = 2*y**3 - 12*y**2 - 15*y - 19. Let m(w) = 11*b(w) - 6*o(w). What is m(6)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0 divided by 128.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 32 a factor of 51847?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 7247244*n**2 - 12177471 wrt n.\nAnswer: 14494488*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 927 + -5465\/6. Let c be 9\/(-108)*8\/662. Let o = c + 31447\/1986. Calculate the common denominator of o and l.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(j) = j**2. Suppose 3*s + 2*h + 0*h - 9 = 0, -5*s + 5*h = 10. Let t be (-3)\/(-24) + ((-410)\/16)\/5. Let p(w) = 6*w**2 + w - 2. Give s*p(d) + t*c(d).\nAnswer: d**2 + d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(14)\/(sqrt(567) + (sqrt(567)*2 - sqrt(567))))**2 + -5 - (-3 + sqrt(2) + -2 + 1 + -1)**2.\nAnswer: -5183\/162 + 10*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 181, 670, 1469, 2578, 3997?\n\"Answer: 155*v**2 + 24*v + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 29 a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 295774.\nAnswer: 2, 41, 3607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -1.93 + 1.83. Which is the smallest value?  (a) k  (b) 0.3  (c) 0.06  (d) 4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(u) = -u**3 - 6*u**2 + u - 4. Is h(-17) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*i + 7 - 32. Let k = -5024 - -5028. Sort k, i, -1, 3 in descending order.\nAnswer: k, 3, -1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 124428973 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Does 259 divide 530173?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:01 AM and 6:32 PM?\nAnswer: 691","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 90, 130, 260, 528, 982, 1670?\nAnswer: 2640","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:03 PM and 12:22 AM?\nAnswer: 439","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8 = 4*i, 0 = -c - 3*i + 3 + 3. Solve 0 = -3*u + 15, c = -a - 2*a + 5*u - 25 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1600?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let p(z) = -z**2. Let d(b) be the first derivative of -11*b**3\/3 - b - 16. Calculate d(p(x)).\nAnswer: -11*x**4 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 24332 is divided by 136?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Does 10277 divide 4266537658?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -1327, 0.08, -60, -0.4, 26?\nAnswer: -1327","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3 + 2 = -d, 2*d - 58 = -2*h. Let u = -26 + h. Which is the closest to -1\/4?  (a) 2\/7  (b) -4  (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((y*y**(1\/15))**(2\/17)\/(y**(-2\/21))**(-11))**(-28) assuming y is positive.\nAnswer: y**(6584\/255)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 160\/17?  (a) 3\/5  (b) -2\/5  (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 19884?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 5 divided by -62.\nAnswer: -5\/62","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 0.669 + 0.011. Let h = x + 0.32. Let q = -30 + 88\/3. Which is the nearest to q?  (a) h  (b) -4  (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (1 - (6 - 2)) + -3?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Does 15 divide 2745641?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*o + 426 = -3*m, -2*m + 95 = o + 3*m. Suppose 0 = 52*k - 57*k - o. Which is smaller: -18 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 66 - 21. Suppose 0*w - w + 12 = n, -5*w = 2*n - p. Calculate the remainder when 41 is divided by w.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (0 - 11) + 15 + 0 + -1?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 607, 591, 559, 505, 423, 307?\n\"Answer: -w**3 - 2*w**2 - 3*w + 613","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*q + 20 = -5*i, 2*q + 64 - 56 = i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2872797.\nAnswer: 3, 957599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is (-297)\/396 + (-95)\/(-4)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(z) = -4524*z - 4507. Let s be j(-1). Suppose -339 - 154 = -n. Calculate the greatest common factor of s and n.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*o - 2*k = 83, 0 = 2*o - k + 5*k - 34. Let r(l) = 6*l - 107. Let u be r(22). Let i = u - o. Which is the closest to i?  (a) -1\/7  (b) -5  (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0054092 rounded to 4 decimal places?\nAnswer: 0.0054","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 133\/66 and 30\/228217.\nAnswer: 1369302","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"}
{"text":"Question: Calculate -2688 divided by -24.\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is (-3 - (2 + 0)) + (-36 - (-40 + -39))?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put -6, 4, 1, 5, 1718, 16, 0 in decreasing order.\nAnswer: 1718, 16, 5, 4, 1, 0, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let q(b) = 3*b**2. Let y(c) = 6*c - 22. Let p be y(4). Let x(g) = 3*g**2 + 6*g**p - 3*g**2 + 6*g**2. Determine q(x(i)).\nAnswer: 432*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence pjv when three letters picked without replacement from pjpjv.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let s(r) = -152*r - 21. Suppose 28 = 48*v - 62*v. What is the tens digit of s(v)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 35 = 3*y + 3*c - 2*c, 5*y - 40 = 2*c. Let f be -8*y*9\/(-24). Let s = f - 20. What is the remainder when 38 is divided by s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1.814754 centimeters to meters.\nAnswer: 0.01814754","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*s = -5*h, 2*h + 12 = -2*s - 2*s. Suppose -h*v + 3*v = 410000. What is v rounded to the nearest one hundred thousand?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -649, -0.29, 0.5?\nAnswer: -649","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (49 - 17) + (464 - 485) + 17 + 1?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 5 - 7 - (-4 - -5 - 2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(625)\/sqrt(5) + ((sqrt(5)*-1*6)**2 - sqrt(5)) + sqrt(5).\nAnswer: 5*sqrt(5) + 180","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {k: 6, z: 7, d: 5}. What is prob of sequence dkdz?\nAnswer: 7\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"}
{"text":"Question: Let i(d) be the first derivative of -d**8\/14 - 5*d**4\/12 + 2*d + 5. Let z(y) be the first derivative of i(y). Find the third derivative of z(b) wrt b.\nAnswer: -480*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -11, 6, 1, 14 in increasing order.\nAnswer: -11, 1, 6, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*g**4 - 3*g**4 - g**4 - 2*g**4 - g**4 + 2*g**4 + (3 + g**2 - 3)*(0*g - 3*g**2 + 0*g).\nAnswer: -6*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -435*t - 70 = -439*t - 3*f, 3*t - 3*f = 42. Solve 12 = t*y - 36 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -14 = -3*v + 2*k, 7 = -4*v - 3*k + 3 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*s**4\/3 + 4*s**2\/3.\nAnswer: -4*s**2*(s - 1)*(s + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 0.18 + -0.180104. Round j to 5 dps.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 420 minutes before 12:11 PM?\nAnswer: 5:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 502 (base 11) in base 10?\nAnswer: 607","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 64, 721, 2498, 5953, 11644, 20129?\nAnswer: 31966","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 14320\/1300 + -10 - 26\/65?\nAnswer: 8\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 41111980 divided by -4459?\nAnswer: -9220","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let f(w) = 9*w**3 - 1 - 36*w**3 + 12*w**3 - 4*w**2 + 5*w + 16*w**3. Let b be f(5). Let a = 54 - b. Let r(p) = -p + 4. Give r(a).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -2617.1 - -2612.1. Which is the nearest to 0.3?  (a) 1\/7  (b) o  (c) -0.5  (d) -0.13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -382 + -105. Let z = t + 493. Solve 2*r + 8 = -5*p - z, -3*r = p - 5 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 12, 29, 70, 147, 272?\nAnswer: 457","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.3072 * -0.1.\nAnswer: -0.03072","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-348)\/(-12470)*43)\/((-34)\/(-20)).\nAnswer: 12\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 723721 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 22\/16 - 12\/12. Sort a, -19\/4, 4 in decreasing order.\nAnswer: 4, a, -19\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 20 (base 3) to base 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 318175\/318697 - 442\/421. Find the common denominator of 45\/11 and q.\nAnswer: 8327","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -101 + 121. What is the greatest common factor of c and 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of (-16)\/((-10)\/(-210)*-2) and 21?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 12139 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let j(z) = 5*z**2. Let k = -39 - -42. Let x(r) = k*r**2 + 918*r + 918*r - 1836*r. Determine x(j(p)).\nAnswer: 75*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2?  (a) 1  (b) -2\/253  (c) 24\/5  (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 120 minutes after 6:19 AM?\nAnswer: 8:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -27*m**2 - 24*m**2 + 56*m**2.\nAnswer: 5*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 0 - -0.2. Suppose 5*o + 4*o + 396 = 0. Let a = o - -134\/3. What is the third smallest value in a, i, -4?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 6743039?\nAnswer: 523, 12893","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: (-23)\/(-5) + 42*60\/(-4200)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -3 + -85.212931093.\nAnswer: -88.212931093","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let s(w) be the first derivative of 17*w + 11\/2*w**2 + 1\/4*w**4 - 29 - 13\/3*w**3. Let b be s(12). Let z(x) = x**3 - 5*x**2 - x + 2. What is z(b)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*y - p - 28 = 2*y, 3*y - 5*p = 38. Solve -x - 2 + y = 0 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(j) = -10*j**2. Let z(l) = 100*l. Calculate z(n(r)).\nAnswer: -1000*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -31 + 137. Suppose -44*v = -1441 + 253. What is the remainder when p is divided by v?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(j) = -902*j - 38. Let y(t) = -180*t - 8. What is -3*d(x) + 14*y(x)?\nAnswer: 186*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let q(h) = -8181*h + 6724739. Give q(822).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let v(k) = 4*k + 6. Suppose -813 + 868 = 11*o. Let s(f) = 4*f + 7. Give o*s(p) - 6*v(p).\nAnswer: -4*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let t**3\/2 - 1855621*t**2\/2 + 430411058952*t + 4734633914208 = 0. What is t?\nAnswer: -11, 927816","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -9.4 + 10.4. Which is the smallest value?  (a) 4  (b) -3  (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1314950776?\nAnswer: 2, 53, 3101299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (2 - 3) + 15 - -14.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f(x) = x**2 - 1. Suppose -8*q + 7*q + 2 = 0. Calculate f(q).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from kneknienwwwnakknnn. Give prob of picking 1 w, 1 e, and 1 a.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 1  (b) -354  (c) 3.6  (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 658 and 28.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (5\/4)\/(9\/36). Sort 3, 0, i in descending order.\nAnswer: i, 3, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose w - 8 = -w. Calculate the common denominator of (-182)\/48*w\/(-3) and (-147)\/(-6)*(-3)\/(-30).\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -18 = 1329*a - 1327*a for a.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Divide -924 by -277.\nAnswer: 924\/277","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -50386624 + 135.\nAnswer: -50386489","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*o - 2645 = -a - 2614, -3*o = -5*a - 7 for o.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Does 72 divide 88592465?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 12112 + -12112001221?\nAnswer: -12111212102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 412*d + 71055 + 46741 = -1992*d for d.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 69\/230*-2*(-10)\/16?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 2326 - 2339 - (3 + -2 + -1 + -117)?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 28739 is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let u(g) = -g + 10. Calculate u(6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 1251734717 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2032?  (a) -0.5  (b) 1\/5  (c) -18  (d) 2  (e) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (1 - 135\/129)\/(0 + 1). Let m = 35\/172 - r. Factor m*y**4 + 0*y + 0 - 1\/4*y**3 + 1\/4*y**5 - 1\/4*y**2.\nAnswer: y**2*(y - 1)*(y + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 868760 rounded to the nearest 10000?\nAnswer: 870000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:50 AM and 4:29 PM?\nAnswer: 639","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let l(x) = -x**2 - 55*x + 885. Determine l(-68).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 17*u - 17*u - u**2 + (-u + 3*u - 4*u)*(-33*u + 18*u + 25*u) to the form o*u + f*u**2 + v and give f.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Divide -794 by 81334.\nAnswer: -397\/40667","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -67\/87710 and -49\/5370.\nAnswer: 263130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1 - -2 - (8 + -6).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0*w**2 + 0*w**2 + 0*w**2 + 0*w**2 - 2*w**2.\nAnswer: -2*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let r(v) = -v**2 + 6*v - 7. Let s be r(5). Let c be -1 - 0 - (4 - s). Let x(n) = -14*n - 28. What are the prime factors of x(c)?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 5 * -9.196.\nAnswer: -45.98","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 7898\/224*(-3)\/(-21). Let h = -38\/49 - f. Calculate the common denominator of h and 47\/22.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -120 by 2363.\nAnswer: -120\/2363","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 75976918?\nAnswer: 2, 37988459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence eaaa when four letters picked without replacement from {e: 5, a: 5}?\nAnswer: 5\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let o(c) = -13*c - 196. Is o(-35) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 314 = -1912*c + 1913*c + 5*n, 3*c + 5*n - 27 = 295 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let l(m) = -20*m**3 + 2*m**2 + 35*m - 4. Let v(d) = 41*d**3 - 4*d**2 - 71*d + 9. Let n(g) = 9*l(g) + 4*v(g). Find the second derivative of n(c) wrt c.\nAnswer: -96*c + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -318 + 324. Let n(s) be the second derivative of -4*s + 0 + 1\/10*s**b + 0*s**2 - 1\/6*s**3 - 7\/20*s**5 + 5\/12*s**4. Suppose n(x) = 0. Calculate x.\nAnswer: 0, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 6\/((4\/(-6))\/(2\/3)). Let p be ((5\/(-10))\/((-1)\/a))\/(-1). Sort p, 5, -2, 2.\nAnswer: -2, 2, p, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*b - 6*b**2 + b + 7*b**2)*(4 - 4 - 3*b)*(-19 - 33 - 31).\nAnswer: 249*b**3 + 249*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (1\/(-2))\/(10\/60*(-12)\/16).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 2321202 - 22?\nAnswer: 2321130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*w = 2*w + 125. Let p = -36 - w. Let k(m) = m**2 + 10*m - 4. What is the least common multiple of k(p) and 6?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (0 + 3 + sqrt(704) - (sqrt(704)*3 + -3 + sqrt(704)))**2 + ((sqrt(704)*1 + 3 - sqrt(704)) + -5)**2*3.\nAnswer: -288*sqrt(11) + 6384","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in six fifths of a litre?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 2 + 11\/2 + (-15)\/(-47 - -17).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -2*b**2*z**2 + 209*b**2*z - 3*b**2 + 282*b*z**2 - 3*b*z + 2*b - 103*z**2 wrt z.\nAnswer: -4*b**2 + 564*b - 206","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 717*t - 93*t + 18891 = -17301 for t.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 204 divided by 2.\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 726.542mm in meters?\nAnswer: 0.726542","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 682275?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 314.\nAnswer: 2, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let a(d) = 39*d + 12. Suppose 221 = 12*u + 5*u. List the prime factors of a(u).\nAnswer: 3, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((561\/44)\/(-1*2))\/(610\/(-976)).\nAnswer: 51\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Are 17 and 17 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12*q**5 + 5453152*q**4 + 227228612*q**3 + 3130365672*q**2 + 13895916272*q - 4988273696 = 0. What is q?\nAnswer: -14, 1\/3, 454471","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 91330?\nAnswer: 2, 5, 9133","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence huvv when four letters picked without replacement from {v: 3, i: 1, h: 1, k: 4, u: 7}?\nAnswer: 1\/1040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand (20528*b + 1610 - 10337*b - 10190*b)*(-b**2 + 0*b**2 + 2*b**2).\nAnswer: b**3 + 1610*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {s: 4, f: 2, m: 2, r: 1}. What is prob of sequence sf?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 378 and 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -71.142 - -0.142. Let d = k + 71.17. What is the closest to d in 0.4, -0.4, -0.1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 13\/12 - 1. Let w = -75\/53 - 4174\/159. Let f = -28 - w. What is the smallest value in f, -0.4, i?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 55 divide 270215?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 460507910 and 1830.\nAnswer: 610","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let l(m) = m**3 - 6*m**2 - 12*m - 2. Determine l(-2).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let j(t) = 370*t**2 - 13*t - 48. What is the tens digit of j(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(u) be the first derivative of -13 + 0*u - 1\/2*u**2. Let q(h) = 15*h**2. Determine q(d(c)).\nAnswer: 15*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let v(g) = 10*g**3 - 6*g**2 - 4*g + 16. Let s be v(7). Let w = -591 + s. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 19*h - 8*h - 6545 = 0. Let s = h + -571. What is the highest common factor of s and 480?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 8696.9952 + -8688. Let i = v - 9. What is i rounded to three dps?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3960 = -12*x + 17*x. What is the tens digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {l: 1, t: 2, h: 1, j: 1, v: 2, z: 1}. Give prob of sequence vvj.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*a - 52 = 0, 3*q - 25*a + 3*a + 93 + 193 = 7*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.1?  (a) 37863  (b) -2  (c) -0.128\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 53 = 34*q + 189 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2 + 2*sqrt(891) + sqrt(891) + sqrt(176)*-6 - ((sqrt(88) + sqrt(22))*-2)\/(sqrt(2) - (2*sqrt(128) - sqrt(128))).\nAnswer: -2 + 15*sqrt(11)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let b(w) = -6*w + 1. Let j(g) = 11*g - 2. Let y be (0 - 1)\/((-116)\/8236). Suppose 3*x = 6*x - 198. Let h = y - x. Determine h*b(l) + 3*j(l).\nAnswer: 3*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 2313506 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let n(h) = 8*h**2 + 49*h + 49. Let d = 465 + -470. Let a be n(d). Let s(j) be the second derivative of j**5\/20 - j**4\/2 + 2*j**3\/3 + 5*j**2\/2 + j. What is s(a)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1238 + 1238 + 11*i**2.\nAnswer: 11*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 1, 2\/123, 58768\/5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1 = 4*f + 3*y + 5, -2*f - 2 = -3*y. Let j be (f - -1)*(-1 + 2). Suppose -3*c + 3 = -j*c. Solve 0 = -4*a + 9 - c for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 1673 and 9863.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let d(w) = -w**3 - 16*w**2 + 17*w + 4. Let f be d(-17). Let f*z**2 + 200*z + 1981 + 298 + 221 = 0. What is z?\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 467186692.\nAnswer: 2, 7, 16685239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let h(a) = -32*a + 95. What is the units digit of h(-1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*u + 3*u = 0. Suppose u*a - 336 = 4*a. Let m = a + 88. Solve -m*l - l + 20 = 0 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 568 to the power of 1\/4, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -917843*m**2 + 2*m + 1918439 with respect to m.\nAnswer: -1835686*m + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-14)\/7*30\/(-12).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 10 divided by 18066\nAnswer: 5\/9033","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -6  (b) -2  (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -372 + 1489\/4. Let q = -40 - -39. What is the nearest to q in -1, 1\/11, m?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 1\/5, -3, 0.3, 6\/107?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1\/5*(19\/((-988)\/(-1430)))\/((-4)\/(-1)).\nAnswer: 11\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 89\/30 and -23\/225.\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 654 and 540.\nAnswer: 58860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 q and 1 v when two letters picked without replacement from yyvyqyvvyv.\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 107510\/91 + 4\/7. Let c = -783 + i. What are the prime factors of c?\nAnswer: 3, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-4)\/6*36\/120*-4?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve i + 58 = 16*z - 38*z + 17*z + 2*i, z - 2*z + 4*i - 23 = 0 for z.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 4 a factor of 14264?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-2)\/3*(-5 + 2). Let b(p) = -4 + 2*p + s*p - 6*p. What is b(4)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(l) = 2*l**2 + 37 - 38 - 3*l - 37 - 32 + 64. Let h(r) = -r**2 - r - 1. Give -4*h(u) + z(u).\nAnswer: 6*u**2 + u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*r**5\/7 - 1710*r**4\/7 + 3412*r**3\/7 + 4*r**2\/7 - 3414*r\/7 + 1706\/7 = 0. Calculate r.\nAnswer: -1, 1, 853","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {i: 2, o: 12, r: 3}. What is prob of picking 2 r?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.01 times 3728?\nAnswer: 37.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -22779*p**3 + 45546*p**3 - 22769*p**3.\nAnswer: -2*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -0.5 - -0.56. Let g = 0.34 + f. Which is the biggest value?  (a) 2  (b) 2\/7  (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-35)\/(-20) - 24\/32?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-1 - 1)\/2 + 0. Let y = -5980 - -5977. Sort y, 2, i, 3.\nAnswer: y, i, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 + 2 - 2)*(0 - 1 + 3)*(-17 + 16 + 12)*(2*d + 2*d - 5*d).\nAnswer: -44*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Convert 58150.1ml to litres.\nAnswer: 58.1501","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(125) + -2*sqrt(125) + 3 + 0 + (sqrt(125) - (sqrt(125) + 1 + sqrt(125))) + 5)*4 + -2 + 2)**2.\nAnswer: -2240*sqrt(5) + 8784","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (21\/6)\/(-1)*-4. Suppose -y = -4*p - h + 3, 0 = -5*p - 2*h + 22. Calculate the remainder when 6 is divided by p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find n, given that 4*n**2\/5 - 36\/5 = 0.\nAnswer: -3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*t = 5*t - 4*m - 48377, -m - 64494 = -4*t. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 4*v**4 + 0*v - 5*v**3 - 9*v**3 + 4*v + 13*v**3 in the form f*v**3 + r + g*v**2 + b*v**4 + y*v and give y.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let g(o) = -9*o - 3*o**2 + 18*o - 4*o + 2*o**3 - 3. Let u(k) = -6*k**3 + 8*k**2 - 14*k + 8. Determine 8*g(h) + 3*u(h).\nAnswer: -2*h**3 - 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 3548 - 3546. Which is the closest to 0.2?  (a) -3  (b) z  (c) -15  (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -715850 - -5\nAnswer: -715845","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-980)\/(-42)*(-48)\/(-28). Solve 0 = -25*z + 15*z + q for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 31\/2 of a kilogram in grams?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 4  (b) 3\/2  (c) -8\/5  (d) 7  (e) 5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 39798 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -798 - -527. Let z = q + 268.188. Let l = z + 2.9. What is l rounded to 2 decimal places?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -332 divided by -3.\nAnswer: 332\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5 + 2902*g**2 + g + 3113*g**2 + 2 - 8.\nAnswer: 6015*g**2 + g - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 97312.7 nanometers in micrometers?\nAnswer: 97.3127","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c(s) be the first derivative of 43*s**8\/56 - 5*s**4\/12 - 205*s - 66. Let y(f) be the first derivative of c(f). Find the third derivative of y(v) wrt v.\nAnswer: 5160*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -31 - -31. Suppose -2*g = 8*k - 5*k - 270608, s = -4*k - 4*g + 360816. Round k to the nearest ten thousand.\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:59 AM and 10:08 AM?\nAnswer: 69","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 8 a factor of 576?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 18 (base 11) in base 8?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*k + 2*j + 34 = -18, -5*k + 63 = -2*j. Which is bigger: 14 or k?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 7072171 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-12)\/(-3) - 0\/4. Suppose 4 + w = 4*n. Let g be -3 + 0 - (n + -15). Solve 2*y = -k + g, -k = y + 3*y - 18 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(d) = 21*d**3 + 3*d**2 - 3*d + 1. Let c be u(1). Solve -h - c = -27 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 divided by 52003226?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -60825.3 + 60825. Let s = 2.6 - 3. Which is the biggest value?  (a) 98  (b) s  (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 23.3 times -3937\nAnswer: -91732.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: (-81)\/(-54)*8\/(-18)\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*x + 5*v = -30 - 20, -5*x + v = -52. Let g be ((-8)\/x)\/(3 - 5). Which is the third biggest value?  (a) g  (b) 5  (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {j: 3, s: 2, q: 3, w: 1, l: 1, t: 3}. Give prob of picking 3 t.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -76?  (a) -4\/7  (b) -1  (c) 16  (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 1084, 8585, 28954, 68629, 134048, 231649?\n\"Answer: 1073*d**3 - 4*d**2 + 2*d + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Product of -3 and -3.72884.\nAnswer: 11.18652","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -4*u**3 + 30*u + 285 wrt u.\nAnswer: -12*u**2 + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 2*1*(-3)\/2. Let u = 15 - 10. Let q = -0.4 - -2.4. Sort j, u, q.\nAnswer: j, q, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*y + 6 - 18 = 0. What is the third biggest value in 1\/2, 5, y?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 79.8862 meters in nanometers?\nAnswer: 79886200000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -145, -540, -1203, -2140, -3357, -4860?\n\"Answer: -m**3 - 128*m**2 - 4*m - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 2 + 7. Let b = a - 17. Which is bigger: b or -10?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 14\/8 - (-2)\/8. Let u = 6.2249 - 5.7249. Let o = -3.96 - 0.04. Which is the closest to -0.1?  (a) u  (b) o  (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 15 + (-6 - -1) + -6?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -10869*v**5*x**2 + 12*v**5 - v*x - 9133*v + x**2 + 2 wrt v.\nAnswer: -217380*v**3*x**2 + 240*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.007160354 rounded to 4 decimal places?\nAnswer: 0.0072","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -p + 94 - 80 = 0. Calculate the lowest common multiple of 8 and p.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(52)\/(sqrt(4)*1) + -3 + sqrt(325) - (sqrt(91)\/(-3*sqrt(847)) + 2).\nAnswer: -5 + 199*sqrt(13)\/33","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find w, given that -5*w**5 - 6310*w**4 - 1937125*w**3 + 1968700*w**2 + 7748580*w - 7773840 = 0.\nAnswer: -732, -531, -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Divide 1207 by 17.\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -233\/385 - -2\/385. Let w = 254 + -233.4. Let y = w - 21. Which is the third biggest value?  (a) v  (b) y  (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 64182 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: Calculate the least common multiple of 24685 and 30.\nAnswer: 148110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 54531 (base 8) in base 15?\nAnswer: 6b9d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 14.2122 rounded to the nearest 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let m(r) = -20*r**2 + 16*r + 4. What is m(-2)?\nAnswer: -108","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1 = -8*l + 7*l, 0 = 4*j + 4*l for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*m = -3*m + f - 2, 0 = -4*m + 2*f. Solve 0 = -k - 1, -m*c - 2*k + 2 = -4 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in 6\/5 of a millennium?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence nta when three letters picked without replacement from nannnnannantnnn?\nAnswer: 11\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let r(m) = -m**2 - m - 1. Let i(x) = 2*x**2 - 7*x - 13. Let k(z) = -i(z) - 3*r(z). What is the tens digit of k(-11)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(m) = 18*m + m - m**2 - 9*m - 1 + 2. Let r be v(8). Solve -2*u - 3*c = 5, -3*u + 2 - r = -3*c for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 27*f - 10 + 31 + 114 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 322094 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.02 in 0.1, -5, -17483?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 42515?\nAnswer: 5, 11, 773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(112) + 1 - -6*(sqrt(7) + sqrt(112)) - (-2 + sqrt(63) + 0)) + (-1 + sqrt(7) + -3 - sqrt(189)\/sqrt(3) - 4*sqrt(112)*-1)**2.\nAnswer: -81*sqrt(7) + 1391","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:24 PM and 10:16 PM?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Put -372, 5\/6, -5\/2 in descending order.\nAnswer: 5\/6, -5\/2, -372","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let t(g) = -52*g + 284. Is 61 a factor of t(-18)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 162407?\nAnswer: 7, 23201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Express -5 + 3*i**4 - i + 4 + 3 in the form x + n*i**4 + c*i**2 + b*i + w*i**3 and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -a + 89 = 3*p - 16, -3*a + 345 = 3*p. Let v = 981 - a. What are the prime factors of v?\nAnswer: 3, 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -1276192 equal to -1276178?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: ((-4575)\/244*1\/5)\/(38\/(-760))\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h(p) = p**2 + 5*p**2 + 5*p**2. Let f(z) be the second derivative of -1\/3*z**3 + 0*z**2 + 0 - 59*z. What is h(f(y))?\nAnswer: 44*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 296332 to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let n(y) = -y - 9. Let r be n(-13). Let w(d) = -12*d + 4*d + 3 - r. Let g = 0 + 1. Calculate w(g).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*s = 1620*g - 1619*g - 24, 0 = 3*g - 3*s - 36 for g.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is (-383 - -376) + (0 - -12) + -2 - -7?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4.6711*-0.05.\nAnswer: -0.233555","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence nno when three letters picked without replacement from ommummbnnb?\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 723 and 543519?\nAnswer: 130988079","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*c - 3 + 15. Suppose 2*s = -3*v + c, -5*v + 3*s = -10 - 3. Suppose -14*b**v + 0*b**3 + 13*b - 9*b + 8*b**3 - 2*b**3 = 0. What is b?\nAnswer: 0, 1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 144429 to the power of 1\/2, to the nearest integer?\nAnswer: 380","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.0001 * -645.\nAnswer: 0.0645","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let c(t) = -t**3 - 11*t**2 - 23*t - 44. Determine c(-9).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {e: 11, l: 5}. Give prob of sequence lll.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 36 = 2*q - 70. Let k = q - 41. Calculate the remainder when 23 is divided by k.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 4 and 229?\nAnswer: 916","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let i(p) = 2*p**3 - 6*p**2 - 5*p + 7. Let k be i(6). Suppose -5*y = -5*j - 1380, 5*j - 77 - k = -y. Suppose l - 5*h + 40 = 2*l, 4*l = 3*h + y. Does 12 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -2739820 to the nearest one hundred thousand.\nAnswer: -2700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 13276 is divided by 104?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-8)\/(-22) - ((-776)\/44 + 10). Let u = -499\/2286 - 1\/254. What is the nearest to -0.1 in -4, d, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from jpvv. What is prob of sequence vv?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.1?  (a) -1\/9  (b) -89  (c) -0.36\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Convert 384153 (base 14) to base 5.\nAnswer: 443311140","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*f - 3 = -5*f. Suppose 0 = 2*q - 5*x - 4, 0 = q - f*x - 2. Suppose a + 3*t = -a + 16, 4*a - 4 = t. Solve -q*l = -4*c + 14, 3*l - a*c + 16 = 3*c for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(d) = d**2 + 11*d - 3. Suppose 0 = 4*j + 2*l + 44, -3*j + 5*l = -5*j - 14. What is w(j)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(v) = 15*v**3 + 2*v**2 + v - 2. Give c(1).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 30088001 a multiple of 61?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 30 + -13. Let j be m + 1\/(-3)*-3. Is (-64)\/(-12)*j\/8 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor w**4\/2 - 395*w**3 - 3967*w**2\/2 - 3178*w - 1590.\nAnswer: (w - 795)*(w + 1)*(w + 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Factor 14*o**3 - 198*o**2 + 624*o - 440.\nAnswer: 2*(o - 10)*(o - 1)*(7*o - 22)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 4 a factor of 134929?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let k(q) = q - 1. Let v(w) = -40*w + 2. Give 6*k(p) + 3*v(p).\nAnswer: -114*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 719?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*j + 3 = -17 - 153 - 67, 155*y = 157*y - 2*j - 100 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let w(h) = 2*h - 13. Calculate w(0).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is -23632 divided by 4?\nAnswer: -5908","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is ((-429)\/(-78))\/(1 + 1002\/(-1004)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 304684 bigger than -64?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Add together -198373 and -0.1.\nAnswer: -198373.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 1*11\/2*2. Suppose 4*c - 37 = f, 0*c = -2*c + 3*f + d. List the prime factors of c.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 466 - -3?\nAnswer: 470","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.05 - 17.6.\nAnswer: -17.55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let l(q) be the third derivative of q**6\/120 + q**5\/15 + 5*q**4\/24 + 2*q**3\/3 + 17*q**2. Let d be l(-3). Sort -4, 5, -3, d in ascending order.\nAnswer: -4, -3, d, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(p) = p**2 - 5*p - 11. Let u be n(8). Let f = 6338 + -6335. Solve -4*g + 16 = f*i, -5*g + 8 = 4*i - u for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 617155 and 4165?\nAnswer: 245","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -31*m + 1286 + 16*m + 35 + 397 + 12*m.\nAnswer: -3*m + 1718","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Are -2\/5 and -2258 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 49\/3, 45\/4, 4\/5?\nAnswer: 45\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let w(v) be the first derivative of v**3\/3 - 4*v**2 + 13*v - 6062. What is w(6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(x) = 15037*x**4 + 10*x**2 + 10*x - 445. Let j(t) = -5012*t**4 - 3*t**2 - 3*t + 148. Let s(g) = -3*c(g) - 10*j(g). Find the first derivative of s(h) wrt h.\nAnswer: 20036*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2\/2903 != 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-15)\/(-35) + 978\/21. Let s = r - 35. Calculate the highest common factor of s and 96.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(l) = 18*l**3 + l**2 + 2*l - 3. Let h = -81 - -83. List the prime factors of o(h).\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is y in y**2 - 8370*y - 590800 = 0?\nAnswer: -70, 8440","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let w(k) = -3*k**2 + 8*k + 9. Give w(2).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 366949559 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -2\/3, 2\/383, 116, 3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 5\/4*30\/7350*56. Which is the second smallest value?  (a) 0.0285  (b) m  (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 170 <= 170?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 88439293?\nAnswer: 367, 397, 607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is -908.05736 rounded to the nearest ten?\nAnswer: -910","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 10538458?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0*(-8 + (-231)\/(-28)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 783 and 4185?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -3\/35 - 1\/70. Which is greater: s or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(x) = x**3 - x - 2. Let l be z(2). Let t be (-2 - l)*(-15)\/10. Suppose -2*q + t = -d, -d - 15 = q - 5*q. Solve -4*g + 5*v + 33 = -8, -q*g - 8 = 4*v for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 149 - 247 = -61*x + 390 for x.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 8*o - 15181 + 1173. What is the units digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 66\/24745 and -1\/102515?\nAnswer: 717605","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -13*j - 10*j + 69 = 0. Let r be (8 - 0)\/(j\/3). Solve 0 - r = 4*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 922 is divided by 303?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -61742 or -61741?\nAnswer: -61741","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-20 - (-62 - -8)) + -14.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-1 - (1 - 2))\/(-4). Let d = s + 1. Determine p so that -3*p**3 - 4*p - 3*p**2 + 0*p**3 + 7*p + 2 + d = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 3640 and 195?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3176 is divided by 31.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 87a + -3?\nAnswer: 877","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 660 minutes after 11:55 PM?\nAnswer: 10:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -32 + 1 = -31*a. Let m be (1 - -3*1)\/2. Is (-97)\/(-2) - a\/m a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -4\/111 + 2285\/777. Calculate the common denominator of 23\/9 and n.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(s) = 64*s - 2. Let n be -1 + 20\/(-25)*-5. Let p(a) = a**2. Let f(l) = -226*l - l**2 + 226*l. Let d(r) = n*p(r) + 4*f(r). What is d(w(q))?\nAnswer: -4096*q**2 + 256*q - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 402245.\nAnswer: 5, 80449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*g = -8, q + 4 = -q + g. Suppose 2*v = -j + 3, 0 = 2*v - 0*v - 4*j + 12. Let o = 3.4 + -3.3. Which is the closest to q?  (a) v  (b) 4  (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -10  (b) 1\/6  (c) 0.051  (d) 38\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let g be ((-7)\/(140\/150))\/5. Let o = -0.18 + 0.68. What is the third smallest value in -5, o, g, 2?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -18 - -14.1. Let z = 4 + c. Is -5 <= z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 226  (b) 1  (c) 0.3  (d) 2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (6\/8)\/((-290)\/(-232)). Sort 17, c, -3\/5, -1 in decreasing order.\nAnswer: 17, c, -3\/5, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 5 - 13 - 9 - (-30 + -69 + 17).\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 342 = 5*u - 2*m, 0 = -2*u + 5*m + 73 + 68. Calculate the greatest common factor of u and 10676.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(f) = -f**3 + 2*f**2 + 2. Let h be q(2). Let w be (9\/2 + -3)*h. Suppose 66 = 5*v - w*a, -2*v - 5*a = 23 - 68. Is 5 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 7 + -3. Let j(f) = 2*f**3 - 5*f**2 + 3*f - 1. Is j(m) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {n: 1, p: 1, j: 1}. Give prob of sequence np.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 12293686 and 34?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many meters are there in thirty-two fifths of a kilometer?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 3\/46?  (a) -2\/21  (b) -1\/3  (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 13\/4 of a millennium in decades?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*m + 30 = -2*k, -1064749*m + 37 = -2*k - 1064744*m for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from scjczjcsdcs. Give prob of picking 1 c and 1 z.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*b - 27 = 3*r, -102 + 30 = -5*b - 4*r. Suppose 2*q = 5*q - b. What is the lowest common multiple of (1 + 0)*1 + 13 and q?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 20\/150*(-45)\/10.\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.15?  (a) -13  (b) 10  (c) -4\/3  (d) 4  (e) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: 266101 (base 8) to base 7\nAnswer: 535602","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 10553567?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Put 1062, 4, 1.18 in decreasing order.\nAnswer: 1062, 4, 1.18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is -116 (base 7) in base 10?\nAnswer: -62","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 1730623 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 294311 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5938 + 3031 = -57*s for s.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 54359538?\nAnswer: 2, 3, 9059923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*t = -24*l + 20*l - 24, 3*l + 28 = -5*t. Let g(o) = -o**2 - 20*o - 48. What is the smallest common multiple of 9\/(0 - (-2 + 1)) and g(t)?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(k) = 7*k**2 + 362*k + 8215. Give x(-20).\nAnswer: 3775","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let o(b) = -b**2 + 3*b. Let a be o(2). Solve -a*t - 12 = -6*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 55\/1176 and 82*(-182)\/(-42336) + (-8)\/24.\nAnswer: 10584","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(l) = -4*l**2 - 91*l - 27. Let o be b(-13). What is o rounded to the nearest 1000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 130 + 0*h**3 + 338*h - 58 - 39 - 41 + 3*h**3 in the form k*h + y + f*h**2 + a*h**3 and give y.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 61533 is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 5020?\nAnswer: 2, 5, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let r(j) = 21947*j - 746099. Give r(34).\nAnswer: 99","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -57\/460 and -43\/368?\nAnswer: 1840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 10039?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -4.2 + 0.2. Let n = 0 + f. Let o = -0.1244 - -3.1244. Put 1\/3, n, o in descending order.\nAnswer: o, 1\/3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 403.4560983 rounded to 0 decimal places?\nAnswer: 403","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l**(2\/17)*l*l*l**(-2\/5)*l**5*l**(2\/11)\/l)**11 assuming l is positive.\nAnswer: l**(5516\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12*b + 49 + 11 = 0. Sort b, -1, 2, 9 in increasing order.\nAnswer: -1, 2, b, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 3044, 3334, 4072, 5462, 7708?\nAnswer: 11014","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*s**3 + 27*s**3 + 5*s**3)*((0 - s + 0)*(6*s - 3*s - 2*s) + 2*s - s**2 - 2*s).\nAnswer: -56*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 2356 + -2355.9. Which is smaller: -2070 or d?\nAnswer: -2070","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 3 + (0 - 3) + -251. Let d = x + 2005\/8. Let p(l) = -3*l - 3. Let c be p(-2). What is the smallest value in d, 4, c?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(j) = 33*j**2 - j. What is the units digit of k(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -6*(((sqrt(600) + sqrt(600)*-2 - sqrt(600) - sqrt(600)) + sqrt(600))\/sqrt(12) + (2*sqrt(162) + -5)**2).\nAnswer: -4038 + 1140*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence aaa when three letters picked without replacement from {a: 9}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -10 - -2. What is the tens digit of (-4)\/s - 57\/(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 3*y**4 + 353*y**2 - 24*y - 41 wrt y.\nAnswer: 36*y**2 + 706","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1b (base 12) to base 7.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*r**3 + 192*r - 512 = 0.\nAnswer: -8, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*s + 21 + 31 = 3*f, 0 = -2*s - 8. Suppose 4*g - f = 4. Let t(m) = -m**3 + 7*m**2 + 3*m + 10. Is t(g) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((u*u\/((u\/(u*u\/(u\/(u**(-10)*u*u))*u*u))\/u))\/(u\/(u**(-8)\/u)))\/(u*u**(-1\/9)*u**(1\/2)) assuming u is positive.\nAnswer: u**(-259\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: -424252332 (base 6) to base 13\nAnswer: -1722107","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Does 2\/1717 = 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let w(s) be the first derivative of -23*s**7\/7 + 7*s**3\/3 + 29. Find the third derivative of w(i) wrt i.\nAnswer: -2760*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1272603 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 3*w + 1)*((0 - 5 + 0)*(-1 + 3 - 4) + (-2 - 2 + 5)*(-2 + 4 + 0)).\nAnswer: 36*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence qqq when three letters picked without replacement from qqxqqqqqxq?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let d(t) = 112*t**2 + 19*t + 25. Is d(-6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(y) = 6*y**2 + 58*y + 902. List the prime factors of a(-15).\nAnswer: 2, 691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -12122 + 2221?\nAnswer: -2201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-1 - (19 + -18 - 0)) + -8 + -5.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((o**(-1)*o)**(-10\/3)\/(o\/(o\/(((o*(o**(-2\/7)\/o)\/o*o)\/o)\/o)*o)*o)**(-50))**37 assuming o is positive.\nAnswer: o**(-29600\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Convert 28.43402 hours to microseconds.\nAnswer: 102362472000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 387114184?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let t(f) = 16*f**3 - 8*f**2 + 29*f. Let x(v) = -18*v**3 + 12*v**2 - 28*v + 1. Determine -3*t(p) - 2*x(p).\nAnswer: -12*p**3 - 31*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 896*s - 827*s + 3243 = 0 for s.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3 + 9 = 2*o. Let t be (-2 - 1)*(-7)\/o. Let x = 12 + t. What are the prime factors of x?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*g**2 - 30*g - 117.\nAnswer: 3*(g - 13)*(g + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 74, -3, 1\/3, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let z(w) = -w**3 - 6*w**2 + 4. Let r(h) = -h**2 + 1. Let d = -20 - -13. Let v = d - -8. Determine v*z(o) - 4*r(o).\nAnswer: -o**3 - 2*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -16 - -16 - (2 + -2 - -2).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let 4*f**5 + 52*f**4 - 484*f**3 - 532*f**2 = 0. What is f?\nAnswer: -19, -1, 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Round -1019802.968 to the nearest 1000.\nAnswer: -1020000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 868, 867, 866, 865, 864, 863?\n\"Answer: -k + 869","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-150)\/20*(-3)\/(18\/(-44)). Let o = -22 - -6. Let l = o - c. What is the remainder when 112 is divided by l?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -8441 (base 9) in base 10?\nAnswer: -6193","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 6545\/(-385)*(-4 + 2).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -27*g**2 - g**3 + 16*g**2 + 11*g**2 + 1 to the form h*g**3 + i*g**2 + x + m*g and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*l + 2*l = -200. Is 50 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 3 + -e91e?\nAnswer: -e91b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: -1.57099 times 6.8\nAnswer: -10.682732","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*t + 42 - 11 = -5*r, 4*r + 20 = 0. Let j be (4\/(-6))\/2*t. Is j greater than or equal to -1\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 607 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 + 2 + z)*(28 - 20 + 20 + (1 - 5 + 2)*(-4 + 4 - 4)).\nAnswer: 36*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 m when two letters picked without replacement from {h: 9, d: 3, b: 2, m: 5}?\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 745*w - 751*w + 36. Let j(m) be the second derivative of 5*m**3\/6 - 13*m**2 + m. Let c be j(w). Solve 3*n + 3*s + 24 = 0, n + 17 = -0*s - c*s for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(o) = o**3 + 4*o**2 + 8. Let x(d) = -d + 145. Let a be x(150). What is c(a)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 937969 is divided by 69?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -40, -29, -18, -7, 4, 15?\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 95358353 or 95358351?\nAnswer: 95358351","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -10 - 10470*n + 6 + 4.\nAnswer: -10470*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 107*c**3*z**2 + 148*c**3*z + 115*c**3 - 2580*c*z**2 - 3*z**2 + 30*z wrt z.\nAnswer: 214*c**3 - 5160*c - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 24 - ((19 - -41) + 52)?\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Determine u, given that 5*u**4 - 297620*u**3 - 11314975*u**2 - 107509410*u = 0.\nAnswer: -19, 0, 59562","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Determine s, given that 4*s**3 - 1144*s**2 + 1092*s + 13680 = 0.\nAnswer: -3, 4, 285","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 540815477 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let p(f) = -2*f. Let u be (7 + -12)*(-2 + (-24)\/(-15)). Let w(h) = -u*h**2 - 2*h**2 + h**2 + 0*h**2. Determine w(p(i)).\nAnswer: -12*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 126 and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l**(-40)\/(l**9\/l)*(l**(1\/24))**(-1))**40 assuming l is positive.\nAnswer: l**(-5765\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {d: 2, h: 10}. Give prob of sequence dhdh.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 886328 to the power of 1\/3, to the nearest integer?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -101 - -1000201020000?\nAnswer: 1000201012122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 5 (base 8) in base 5?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3438*u = 3431*u + 294. Calculate the greatest common divisor of 222 and u.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*k = a - 4, 4*k = a - 5 - 2 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 27317820 and 8195346?\nAnswer: 81953460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -25, -25, -11, 17, 59, 115, 185?\nAnswer: 269","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -1 + -221120101201?\nAnswer: -221120101202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -7.52 - -10.4. Let z = s + -0.86. What is z rounded to one decimal place?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 9a - 2b88?\nAnswer: -2aee","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 60788159 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 43c + -4?\nAnswer: 438","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 31540 and 715460?\nAnswer: 1660","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.09 in 0, 8, -3\/14, -5, -3, 229?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Total of -420.8 and 1936.\nAnswer: 1515.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*i - r + 17 = 0, -4*i - r + 30 - 8 = 0. Suppose -5*p + 12 - 2 = 0. Suppose 377 = p*j - 8*z + 3*z, 0 = -i*j - 4*z + 893. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from zzzzjjjjzzzzjjjz. What is prob of sequence zjzz?\nAnswer: 21\/260","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*b + 25 = -4*b. Suppose -b*s + 39 = u, s - 2*s - 5*u = -3. What is the remainder when 14 is divided by s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -305.14783 minus 2.709?\nAnswer: -307.85683","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let j(z) = -8. Let s(q) = -q + 32. Let i(h) = -4*j(h) - s(h). Let l(v) = -2*v. Give 15*i(n) - 3*l(n).\nAnswer: 21*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -994 or 519?\nAnswer: -994","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 596 minutes before 3:38 PM?\nAnswer: 5:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1115*c = -3*l + 1097*c + 165, 76*c = -5*l + 71*c + 50 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is -79129131 - -0.1?\nAnswer: -79129130.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 123\/80 and 123\/1400.\nAnswer: 2800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -46666*n**3*r + 2*n*r - 246241*r wrt n.\nAnswer: -139998*n**2*r + 2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 39701773?\nAnswer: 19, 2089567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 5, 25, 57, 101?\n\"Answer: 6*u**2 + 2*u - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 504 minutes before 1:11 PM?\nAnswer: 4:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Does 33 divide 429?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.007959 and 2.\nAnswer: -0.015918","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let s(u) be the second derivative of -u**4\/2 + u**3\/3 - 5*u**2\/2 - 4*u + 10. Let f(j) = 5*j**2 - 2*j + 4. Let y be 2*1 + (12 - 10). Calculate y*f(a) + 3*s(a).\nAnswer: 2*a**2 - 2*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let s be ((-104)\/16)\/(2\/(-4)). What is the first derivative of 13 - 6 - 14*y**3 + s*y**3 wrt y?\nAnswer: -3*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -7 divided by -1694\nAnswer: 1\/242","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 59304642 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 315 + 62?\nAnswer: 377","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Does 10 divide 239000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -43\/14 and 163\/1848?\nAnswer: 1848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: -30 * -6.157\nAnswer: 184.71","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 298 minutes before 12:57 AM?\nAnswer: 7:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let w(x) = 9*x + 659. Calculate w(-25).\nAnswer: 434","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, -2, -8 in decreasing order.\nAnswer: -2, -4, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 3159.52 rounded to the nearest one thousand?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let o(i) = i**3 - 7*i**2 + 6*i + 2. Let h be o(6). Let x = 2 - h. Suppose x = 3*c - 9 - 21. 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 (f**15*f**4*f)\/(f**(-4)\/f)**(10\/11) assuming f is positive.\nAnswer: f**(270\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: -651707*50\nAnswer: -32585350","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let s(u) = u**3 + 2*u**2 - u - 3. Let w be s(3). Suppose 0*h + w = h. List the prime factors of h.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 8656*p - 8399*p - 21845 for p.\nAnswer: 85","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 1518.399 + -1481.7. What is h rounded to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -30 - (69 - 40) - -145?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express -1930 + 1930 - 104*p as u + s*p and give s.\nAnswer: -104","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -4.1468 + 1.1493. What is s rounded to zero decimal places?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -96dce - 1?\nAnswer: -96dcf","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 84 - 88. Suppose 2*d + 4 = 2*f, -6*f + 2*f + 15 = 3*d. Put c, f, -3 in decreasing order.\nAnswer: f, -3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3379858?\nAnswer: 2, 1689929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: a3898 (base 11) to base 15\nAnswer: 2ed38","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 6434 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let x(s) = 4 - 1 - 2 + 0 - 83*s. Let o be x(-1). Suppose 6*h - 2*h = o. Is h a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -5 + 9994\/418 - 19?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(a) be the first derivative of -a**2 - 9*a + 8. Give x(-7).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -0.01 + 0.25. Let v = 2.7 - 3.44. Let w = v + g. Which is the biggest value?  (a) 0.4  (b) w  (c) 3  (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (6*(sqrt(128)\/sqrt(4) + sqrt(32) - sqrt(32) - sqrt(8) - sqrt(64)\/(sqrt(8)*1))\/(sqrt(576)*-2 - (sqrt(4) - -1*(2*sqrt(4) + sqrt(4)))))**2*6.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: (-21)\/36*(13\/13)\/((-14)\/2)\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 2\/13  (b) 1.877  (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: -76347970 divided by 193286\nAnswer: -395","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose y = 2*y - 3. Let w be (51\/(-6) + 160\/20)*-4. Solve -2*f = -10, -2*f = y*b + w*f - 11 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(c) be the second derivative of -5*c**3\/2 + c**2\/2 + 6*c. Let u be 4\/(-2) + (-5)\/(10\/4). List the prime factors of b(u).\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*x - x + 1238 + 5050. Is x a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 2727488, 5455005, 8182522, 10910039?\n\"Answer: 2727517*j - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1945385?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let k(r) = r + 3. Let m(b) = 5*b**2 + 4*b. Let h be m(-5). Let t be (-48)\/9*h\/(-10). Let d be 14\/t - (-26)\/(-8). What is k(d)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(d) = d**2 - 9*d - 4. Give u(0).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (5\/8)\/(-3 - 44\/(-16)). Suppose -11 = j - 3*u, 20 = 4*j + 5*u - u. Let y = 41 - 46. Which is the closest to j?  (a) y  (b) v  (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 241*2677\nAnswer: 645157","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is -58 greater than -2635?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -455*v = -459*v - 24, 5*i - 59 = -v. Solve -5*m - i = -x + 12, m = -4 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(l) = 3*l**2 - 4*l - 1. Let p be q(3). Suppose 3*g = -4*o - p, 0 = 4*g + 3*o + 7. Suppose -5 = -5*r + 80. Solve -5*j - r + g = 0 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-44)\/(-33)*((-1)\/2 - -2). Let d(u) = u - 2 + i + 3 - 6. Give d(3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*j - 10 = n, -j + n + 0 = 2. Let m(r) = -6 - j*r + 8*r + 3*r**2 - 2*r**2. Let h be m(-6). Let w(t) = -t + 7. Determine w(h).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-1 - 2739\/(-21))*9\/36. Let o = -65\/2 + z. Put o, 0.5, 1 in ascending order.\nAnswer: o, 0.5, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 569 - 271. Let s = p - -159. Suppose 6*d = d + u + s, 2*d - 5*u - 192 = 0. Is 9 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 33 by -4099.\nAnswer: -33\/4099","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1 or 2\/13929815?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -62, -244, -486, -818, -1270?\nAnswer: -1872","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Express -20 - 8*x**2 + 20 + (-1 + 0 + 0)*(x**2 + 0*x**2 - 3*x**2) - 9*x**2 - 34*x**2 + 13*x**2 - 2*x**2 - x**2 + 0*x**2 in the form j*x**2 + k + v*x and give j.\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-5)\/((-10)\/12)*1. Let y = d - 1. Differentiate 6 + 0 - y + 7*n with respect to n.\nAnswer: 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2 (base 7) to base 11.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 171 + -207. Let v = -4329\/3085 + 2\/617. Calculate the common denominator of v and 97\/(-12) - (-24)\/f.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is b in 64*b**4\/3 - 16*b**3\/3 - 364*b**2 + 2597*b\/3 - 1715\/3 = 0?\nAnswer: -5, 7\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let k(r) = -61*r**2 - 4258*r - 11460. Determine k(-67).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*s = -3*k + 543, 2*s - 5*s - 939 = -5*k. List the prime factors of k.\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, 3, 5, 125 in decreasing order.\nAnswer: 125, 5, 4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -t = -r - 5, 2*r = t + 4*t - 22. Let z = -0.8 - 0.2. Let x = -0.5 - z. What is the smallest value in x, r, -3\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 42759, 42764, 42769, 42774, 42779?\nAnswer: 42784","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 835813563 to the nearest integer?\nAnswer: 170","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 765 - -86?\nAnswer: 851","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 1039031 a multiple of 151?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is h in -3*h**4\/7 - 237*h**3\/7 - 5016*h**2\/7 - 12996*h\/7 = 0?\nAnswer: -38, -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -11 - -16. Let t = 2 + -1.6. Which is the third smallest value?  (a) t  (b) k  (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*q - 5 - 5 = 4*o, -4*o = 5*q - 25. Suppose -4*x + 4*f + 64 = o, 4*f + 61 = 5*x - 17. 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: Let m(k) = k**3 - 3*k**2 - 4*k - 39. Let r be m(7). Let o = 272 - r. Is o a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -41, -158, -349, -614, -953, -1366, -1853?\n\"Answer: -37*p**2 - 6*p + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {m: 6, j: 1, z: 7}. What is prob of sequence mj?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence sk when two letters picked without replacement from slsmlklll.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 15126 + -15121. Sort 7, -5, l, -23 in ascending order.\nAnswer: -23, -5, l, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 5 - 1. Suppose 10 = 5*k + 3*u - 5*u, -5*k + h*u = -10. Suppose -3*d + 14 = k*t, 0 = -4*d - 3*t + 10 + 9. Sort 0, 3, d in decreasing order.\nAnswer: d, 3, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 23 divide 40646?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -6*c + 15 - 207. Let g be (10\/(-4))\/(40\/c). Suppose 5*y + 5*i = 25, -y + 0 = 3*i - 5. Solve g*d - 4*r + 7*r = -3, -24 = -3*d + y*r for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -30*j + 64*j + 4277 + 30*j - 4250 in the form h + l*j and give l.\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 70 or -1015372?\nAnswer: -1015372","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 814734 and 8991?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3 divided by -755.\nAnswer: -3\/755","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 20 + -11. Suppose -3*y + 4 = m - 5, -2*m = 3*y - i. Suppose 0 = -y*c + 6 + 24. What is the smallest common multiple of 18 and c?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -765583, -765574, -765565, -765556, -765547, -765538?\n\"Answer: 9*p - 765592","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (3\/(-2))\/((-5)\/(-130)). Let o = f + 57. What is the units digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2911960531.\nAnswer: 2911960531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let h(q) = q + 2*q**3 + 25 - 17 - 9 - 3*q - 2*q**2. Let w be h(4). Suppose -2*t = 2*x - 3*t - 58, 2*t - w = -3*x. What is the remainder when x is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 566?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -2167, -2168, -2169, -2170, -2171, -2172?\n\"Answer: -d - 2166","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 3 + -1. Let c = w - -14. What is the units digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1010 (base 3) to base 4.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence onzs when four letters picked without replacement from snzonowzosozoozo?\nAnswer: 1\/390","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: 6ba (base 14) to base 13\nAnswer: 7c1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*u = -4*v - 47, 7*v = -5*u + 2*v + 65. Calculate the remainder when 48 is divided by u.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1.2752966 less than 4?\nAnswer: 5.2752966","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let k(s) = -29*s**2 + 99*s - 7. Let j(y) = -16*y**2 + 55*y - 4. Let v(m) = -9*j(m) + 5*k(m). Let f(a) = -a**3 - 7. Calculate f(d) + 3*v(d).\nAnswer: -d**3 - 3*d**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 836085839 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -119\/9?  (a) 0.2  (b) 3\/2  (c) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (4204\/(-26))\/(62 + (-151 - -91)) + 2\/(-13)?\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(w) = 6*w - 8. Let t be m(6). Suppose 21 = 4*n - 59. Suppose 0*r = 5*r - n. Calculate the greatest common factor of r and t.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 8228401 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -0.06 - 12.94. Let s = -17 - -28. Let z = s + g. What is the second smallest value in z, 3, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 662500 divided by 33125\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -141 + 144. Suppose -4*r + 28 = -4*d, -4*r - 2*d + 21 = -r. What is the smallest common multiple of r and q?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -6 + 6. Suppose 0*k + k = y. Solve k + 6 = 3*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 25523 - 4.\nAnswer: 25519","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let c(h) be the second derivative of -h**4\/6 - 3*h. Let m(g) = 2*g**2. Give m(c(f)).\nAnswer: 8*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 2.7 - 3. Let d = -0.6689 + 0.6789. What is the fourth biggest value in -1\/2, l, 2\/17, d?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(h) = h**3 - 2*h**2 - 4*h**2 - 4*h**2 - 8*h. Let s be 1 + 2 - 8*1*-1. What are the prime factors of k(s)?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3738 is divided by 1828?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 8*c**5 + 14*c**4 + 251*c**3 - 137*c**2 + 269*c wrt c.\nAnswer: 480*c**2 + 336*c + 1506","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 8 and 146.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: (197 + -200)\/((-9)\/2)*15\/235\nAnswer: 2\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(s) = -s - 2. Let v(n) = 6*n + 13. What is 34*j(g) + 6*v(g)?\nAnswer: 2*g + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 3031 <= 5\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 8*x - x**2 - 2 - 2*x + 2.\nAnswer: -x**2 + 6*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let w(n) = -20*n**2 + 1. Let o(y) = -27*y. Give w(o(m)).\nAnswer: -14580*m**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 123465 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 415 - 416 - 109*g**3 + 118*g - 115*g to the form x*g**3 + v*g**2 + l*g + d and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (0 - 7358\/7) + 2. Let d = b + 1054. Let j = 1347 + -14855\/11. Find the common denominator of d and j.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 11, 30, 63, 116, 195, 306?\n\"Answer: c**3 + c**2 + 9*c","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -10*t - 2521 = -2531 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -129 + 119 + (-2 + -1 - -3) + 1?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 7401181?\nAnswer: 7401181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*r = -3*r - 3*y + 25, y = -5*r + 15. Let g(o) = o**3 - 24*o**2 + 81*o - 5. Let m be g(4). What is the closest to r in m, -4, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 397 a factor of 643934?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 m and 1 x when three letters picked without replacement from xxwwomoxwmvxxxmv?\nAnswer: 9\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*i - 4*c + 10, -i - c - 25 = i. Let v = -6 - i. Let o be 4\/3 - v\/12. Let n(r) = -r. Give n(o).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify b**(-5)\/b**(-3)*(b**2\/b)\/((b*b**(1\/2)*b)\/b) assuming b is positive.\nAnswer: b**(-5\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1?  (a) 0.02  (b) -0.07  (c) -4  (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-2)\/(-1))\/(2*6\/12).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 0*i + 0*i + i)*(16 - 59 + 104 + (-1 + 6 - 3)*(-2 + 4 + 0) - 1 + 5 - 2)*(i - 3*i - i).\nAnswer: -201*i**2 + 201*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 51\/2 of a day in minutes?\nAnswer: 36720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort -21, -2, -589, 1 in ascending order.\nAnswer: -589, -21, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: -20 + 32 + -33 + 1\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 52*c + 129 + 183 = 0 for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1108*h + 31302 = -1441*h for h.\nAnswer: -94","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let w(a) = -a. Let b(m) be the second derivative of -2*m**3\/3 + 2*m. Calculate b(d) - 6*w(d).\nAnswer: 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: 1 + 3 + -105 + 94\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b(l) = l**3 - 3*l**2 - 2. Let g be b(3). Let s(m) be the third derivative of -m**6\/120 - m**5\/60 - m**4\/12 - m**3\/3 + 1705*m**2. Determine s(g).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 1656575?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 4*q**2 + 213*q - 73607 wrt q.\nAnswer: 8*q + 213","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -4?  (a) -4\/7  (b) 1  (c) -1  (d) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2000*d**2 + 1004*d**2 + 999*d**2.\nAnswer: 3*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let l(c) be the first derivative of -c**3\/3 - 2. Let t(o) be the first derivative of 2 + 1 - 2 + 2*o**2. Give t(l(g)).\nAnswer: -4*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*y - 1226 = -16*u + 14*u, 309 = y - 2*u. Suppose 3*b = 1108 - y. What are the prime factors of b?\nAnswer: 3, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 264*h**5 - 158636*h**4 + 23582648*h**3 + 74743756*h**2 + 6588432*h - 3283344 = 0. What is h?\nAnswer: -3, -3\/11, 1\/6, 302","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Determine j so that -j**3 + 251*j**2 - 15624*j - 15876 = 0.\nAnswer: -1, 126","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 110 + -10011011101100101111111111?\nAnswer: -10011011101100101111111001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.1 in -1\/4, -3\/5, 45, 10, -1?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 55\/1634 and 47\/646?\nAnswer: 27778","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 337651?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Does -4949 = -4945?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 6664282297298 from -1.41.\nAnswer: -6664282297299.41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {g: 4, o: 1, r: 6, s: 1, b: 3, h: 4}. What is prob of picking 1 g and 1 h?\nAnswer: 16\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 33 divided by 1.\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0 in -0.1, 769, 1, 0.32, -1\/2, -5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Express -109*k + 0*k**2 + 6*k**2 - 4*k**2 + 504*k - 117 - 2*k**4 + 118 as d*k**4 + j*k**3 + t*k + o*k**2 + l and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Express -6*t + 2*t - 2*t**2 + 4*t**2 + 0*t**2 - 2*t**4 in the form h + z*t**2 + n*t + a*t**4 + f*t**3 and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: 20022220002211 (base 3) to base 12\nAnswer: 11626aa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z(y) = -8*y**3 - 5*y**2. Let s be 2*(-1)\/3*111\/(-74). Let p(d) be the first derivative of d**4\/4 - d**3\/3 + 333. Calculate s*z(f) - 5*p(f).\nAnswer: -13*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 2 - 6. Let i = 7 + x. What are the prime factors of 15\/(-5) - i*-7?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 15810 and 31091946?\nAnswer: 155459730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let y(q) = -q**2. Let v(n) = 26816166*n**2. What is v(y(x))?\nAnswer: 26816166*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 81903158367 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let m(y) = y**3 + 20*y**2 + 19*y + 1. Let g be m(-19). Let z be 147\/6 + g\/(-2). Suppose h - 23 = z. Calculate the remainder when h is divided by 25.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 65 and 86?\nAnswer: 5590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let h(c) = 3 + 1 + 0 + 0 + 2*c**2. Let u be 2*-7*1\/2. What is the remainder when h(u) is divided by 26?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1*3*4\/(-6)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j(b) = 1. Let l(p) = -2*p**2 - 4*p + 18. Let n(a) = 36*j(a) - 2*l(a). Suppose n(t) = 0. What is t?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((11\/6)\/11)\/(1\/(-6)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ahhaahaaaah. What is prob of sequence hhh?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -13  (b) 3\/4  (c) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let n(h) = h**2 + 2*h + 32. Calculate the remainder when n(0) is divided by 12.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify u**(-25)\/u*u\/(u**38*u) assuming u is positive.\nAnswer: u**(-64)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -381 = 4*d + 3*i - 589, -3*d + 5*i = -98. Calculate the remainder when 11037 is divided by d.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*n = -18 + 264. Let h be ((-16)\/(-24))\/(4\/n). Let w = h + -21. Sort w, -0.2, 6\/5 in decreasing order.\nAnswer: 6\/5, -0.2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 146533224 - -21?\nAnswer: 146533245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 152 minutes before 2:50 PM?\nAnswer: 12:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ho when two letters picked without replacement from hwpvo?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Divide 5 by 154.\nAnswer: 5\/154","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2*((3 + sqrt(1584)*3 - sqrt(1584))*6 + (sqrt(55)*-2*6)\/(sqrt(20)\/sqrt(4)*2))*2.\nAnswer: 72 + 552*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:27 AM and 10:30 AM?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let m(p) = -50*p + 21. Let h(o) = 51*o - 21. Let w(s) = 6*h(s) + 4*m(s). Let j be w(6). What is the lowest common multiple of 36 and ((-6)\/4 + 1)\/((-9)\/j)?\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -158*y + 2454 = -2628 + 8084 for y.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -0.3  (b) -10  (c) 39  (d) 0.18  (e) 4  (f) 0.07\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 229 - 229. Which is the closest to 0.1?  (a) y  (b) 1\/7  (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 3 + 3 - (-6 + (16 - 9)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 888573?\nAnswer: 3, 7, 17, 19, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the sixth biggest value?  (a) -2\/177  (b) 1  (c) -4  (d) 3\/5  (e) -13\/5  (f) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many meters are there in seven halves of a kilometer?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, 23, 4, 3.\nAnswer: 0, 3, 4, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-550)\/(-182) - 11786\/536263.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.1 in 0.1, 7\/2, -5\/7, 3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:32 PM and 6:53 PM?\nAnswer: 141","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {t: 3, s: 6, v: 4, m: 4}. Give prob of picking 1 t, 1 s, and 1 m.\nAnswer: 9\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1721868 or -12053070\/7?\nAnswer: -1721868","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:35 AM and 8:49 AM?\nAnswer: 194","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -109?  (a) -57.8  (b) -0.002  (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is -576204259 take away -0.1617?\nAnswer: -576204258.8383","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify y**(-8)*y\/(y\/(y*(y*y**(-3\/13)\/y)\/y))*y*y assuming y is positive.\nAnswer: y**(-81\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 7435*b**2 + 10*b**3 - 19*b**3 + 6*b**3 + 4*b**3.\nAnswer: b**3 + 7435*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000005189331093 rounded to six dps?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-1)\/(-4))\/((-80)\/4480).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3367404539?\nAnswer: 23, 101, 743, 1951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 92233571 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: -1a826 (base 15) to base 16\nAnswer: -150c3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i(n) = -n - 2. Let b(h) = -h**2 - 2*h - 15. Let k(r) = -b(r) + 5*i(r). What is k(4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (51\/9)\/1 - (63 + -58). What is the nearest to -2 in -2\/3, -3, z, -0.2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -33490.179 rounded to the nearest one thousand?\nAnswer: -33000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -5, -34, -105, -236, -445, -750?\n\"Answer: -3*n**3 - 3*n**2 + n","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is -13416 less than or equal to -13421?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -793 + 801. Factor -18*c**3 + 67*c + v*c - 15*c + 9*c**2 - 3*c**4 + 36.\nAnswer: -3*(c - 2)*(c + 1)**2*(c + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 2.6 - 8.6. Suppose 5*z - 5*c + 1 + 4 = 0, -5*c = 2*z - 12. Let p be 8\/(-10)*5*z\/(-2). Which is bigger: f or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -92*k - 81*k + 125*k + 1968 for k.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (30\/12)\/((135\/252)\/3).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 110*r*z**2 + 54*r*z - 30*r + 29*z**2 wrt z.\nAnswer: 220*r + 58","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 85662264?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*x - 2*n - 1 + 3 = 0, -35 = -5*x + n. Which is the closest to 2\/7?  (a) -0.4  (b) -4  (c) x  (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 53829583 is divided by 29?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let p(j) = -3*j. Let g = -13 + 19. Let c(t) be the third derivative of -t**4\/8 - 2*t**2. Let r(k) = 4*k. Let x(n) = g*c(n) + 5*r(n). Calculate p(x(y)).\nAnswer: -6*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 488 - -8?\nAnswer: 507","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -c - x = 0, 4 = -3*c + 2*c - 3*x. Let d(y) = 11*y**3 - y**2 + 2*y - 1. What is d(c)?\nAnswer: 87","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose n + 5*c + 5 = 0, -2*n + 4*c = n + 15. Sort 0.4, n, 5, 1\/6 in ascending order.\nAnswer: n, 1\/6, 0.4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: 570\/110 + -1 + (-27)\/(-33)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1 in 9, -147, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in one fifth of a kilogram?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: ((-8624)\/14)\/14*(-1)\/(-2)\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: ((-4)\/(-3)*13545\/1260)\/((-2)\/6)\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*u - 2*u - 37. Does 6 divide (-1 + u)*(-26)\/(-39)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d**7*d*d**(-5)*d**1*d**2)**38 assuming d is positive.\nAnswer: d**228","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 175  (b) 90.6  (c) 20  (d) -12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 43429216?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let m(u) be the first derivative of -20 + 35\/4*u**2 + 5\/6*u**3 + 25*u. Solve m(z) = 0 for z.\nAnswer: -5, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*i - 62 = 4*d, 0 = d - 4*i + 1 - 8. Let z(x) = -4 - 6*x**2 + 12*x + 7*x**2 + 7. Let h be z(d). Solve 5*s = -5*g + 4*s - 22, -3*g = 2*s + h for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(l) = l**2 + 6*l + 5. Let q be h(-6). Suppose q*y = y + 12. Suppose -y*g + o = -20, 7*o - 2*o - 2 = -2*g. What is the units digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 1452 and 3.\nAnswer: 4356","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Convert 10 (base 5) to base 4.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round -409.71 to the nearest 100.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 518 + -513. Solve 0*b - o*b = -15 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 38*u + 725 = 39*u. Suppose 0 = l + 5*m - 10*m - 174, u = 5*l + 4*m. List the prime factors of l.\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 r, 2 b, and 1 i when four letters picked without replacement from {b: 5, r: 3, a: 2, i: 3}.\nAnswer: 18\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let s(n) = 719*n**3 - n + 2. Let v(b) = -1. Calculate s(i) + 2*v(i).\nAnswer: 719*i**3 - i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/(2*6\/(-12))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*r + b + 4 = 0, 13*r - 2 = -6*b + 3*b for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 482514, 965021, 1447528?\n\"Answer: 482507*u + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose d + 3*j = 248, d + 3*j - 252 = 4*j. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 370 = -56*h + 93*h for h.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Round 183148.19923 to zero decimal places.\nAnswer: 183148","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 97 - 30 = k. Let b = 40 + -28. Calculate the remainder when k is divided by b - (2 + (-1 - 3)).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-4 + (-21)\/(-6))*26*-1. Suppose -k*l + 2 = -24. Solve l*u + 27 = 5*m, -m + 5*u = -9 - 1 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(v) = 120385*v. Let a(d) = -2*d. Determine i(a(j)).\nAnswer: -240770*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 28 - (1 - (83 + 13)) - 44?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*v**5\/15 - 2056*v**4\/15 + 528392*v**3\/15.\nAnswer: 2*v**3*(v - 514)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -3669474, -14677884, -33025236, -58711530?\n\"Answer: -3669471*s**2 + 3*s - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 18 + 1\/(2\/(-4)). Let r be 70\/((-56)\/(-4)) + -6 + 1 + 0. Solve 4*i + 0*i + s = r for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 6*l - 9*l + 2*b + 8347, 2*l + 3*b = 5556. What is the tens digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: (((-6)\/4)\/3)\/((-65)\/104)\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -141314, -282632, -423950, -565268, -706586, -847904?\nAnswer: -989222","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 15797701 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-16)\/((-240)\/(-1))*18.\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(95)*-2*4 + (3*-2*sqrt(95) - sqrt(95) - sqrt(95)))*6)\/(sqrt(180) + 2*sqrt(180)*1 + sqrt(180) + -2*sqrt(180)*-5 + sqrt(180)).\nAnswer: -16*sqrt(19)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 2927342209 and 7067.\nAnswer: 7067","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let v(y) = -2*y**3 + 35*y**2 + 19*y - 12. Let u be v(18). Solve 0*c + u = -2*c + k, 9 = -5*c + 4*k for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(i) = -3*i - 123. Let l be h(-41). Suppose 4*n - 60 = -l*n. What is the smallest common multiple of n and 21?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(n) = -16362*n + 8184*n + 8177*n. Let u(i) = -7*i + 18. Give u(k(q)).\nAnswer: 7*q + 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 4650 is divided by 49.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let q(t) be the first derivative of 23*t**5 - 888*t + 811. What is the derivative of q(l) wrt l?\nAnswer: 460*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 18.335 - 14.1515. Round w to one decimal place.\nAnswer: 4.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*p - b = -162, -5*p - b - 2*b + 166 = 0. Suppose -4*y = q + 114, -2*q = -y - 4*q - p. Let i = 64 + y. Is 12 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 896903695 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: Let p = 0.17 - -7.83. Let d = -8 + p. Are d and -7 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many microseconds are there in 9\/10 of a millisecond?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 733806722.\nAnswer: 2, 11, 2383, 13997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -126*k**2 + 4*k + 338*k**2 - 5 - 211*k**2 + 3*k**3 + 2*k**4 to o*k + v*k**4 + s + t*k**3 + r*k**2 and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand (34028*g**2 - 34028*g**2 - 5872*g**5)*(0 - 3 + 5) + 2*g**5 - g**5 - 2*g**5.\nAnswer: -11745*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Express 7*j**2 - 176*j - 1493 - j**2 + 1492 as k*j**2 + v*j + u and give k.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Factor -745*q**2 - 1955860*q - 616875.\nAnswer: -5*(q + 2625)*(149*q + 47)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Put -35, 14, 2 in increasing order.\nAnswer: -35, 2, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let a(n) = -2*n + 3. Let h be a(6). Let l = h + 20. What are the prime factors of l?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be ((-154)\/(-7) - -69) + -25. Calculate the greatest common factor of 3278 and d.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -6.64 to the nearest ten.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Express (-22 - 36 - 5)*(3*b - b - b) as z + d*b and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 24 = -4*y + 2*i, 2*i = 4*y - i + 22. Let f be (-24)\/y + (-48)\/16. Which is the nearest to -1\/2?  (a) 0  (b) 2\/5  (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {m: 1, d: 1, q: 1, i: 2, f: 2, u: 7}. Give prob of sequence qf.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {h: 4, o: 3, z: 6}. Give prob of sequence ozh.\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 76 + -66. Calculate the remainder when 239 is divided by h.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 675300 and 114.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 + 12 + (-4 - 0) + -4?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 11.8 - 30.2. Let c = x - -18. Sort c, 0.14, 5 in decreasing order.\nAnswer: 5, 0.14, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 14, 66, 118, 170, 222?\nAnswer: 274","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -380506, -380516, -380524, -380530, -380534, -380536?\n\"Answer: c**2 - 13*c - 380494","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 2043, 7880, 17481, 30852, 47999, 68928?\nAnswer: 93645","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 396*n**4*z - n**3*z + 26*n**3 - 6*n*z - 11*n - 5*z - 9 wrt n?\nAnswer: 4752*n**2*z - 6*n*z + 156*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 178*h - 138 - 3422 = 0. Suppose -5*y + 3*v = 10 + 30, v = -2*y - 5. Sort y, -2, h in decreasing order.\nAnswer: h, -2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {c: 6, w: 6}. Give prob of picking 2 w.\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 21 + -26. What is the smallest value in 1, z, 3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*f + 4*h - 8*h = 4, f = -3*h - 3. Suppose f*c = -2*c. Solve -5*v = -c*v - 25 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.164*-433.858\nAnswer: -71.152712","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 11\/55*(756\/840 - (-3)\/(-2)).\nAnswer: -3\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f*(f*f\/f**(4\/5)*f)\/f*(f*f\/f**(-3\/2))\/f)\/(f**(-4)\/(f*f**(-3)))*((f\/f**0)\/f*f*f\/(f*f**(-2\/5))*f)**28 assuming f is positive.\nAnswer: f**(739\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*h**3 - 623098*h**2 - 1869320*h + 2492416 = 0 for h.\nAnswer: -4, 1, 311552","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 2 - 2. Suppose 3*g = -2*l + 11, -3*g = 2*l - g - 10. Suppose -4*s = l*h, 2*h + 4*s = -h. Solve u + 1 + h = o for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -25*i**2 + 53*i**2 - 11*i**3 - 22*i**2 wrt i?\nAnswer: -66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 14*p**2*v**2 + 17081155*p**2 - 406829*v**2 + v wrt v.\nAnswer: 28*p**2*v - 813658*v + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let w(m) = -m - 3. Let t be w(-4). Let g be (-11)\/165*-20*9\/2. Is t*3 - ((-168)\/4 - g) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*i**5 + 37244*i**4 + 86787756*i**3 + 433008180*i**2.\nAnswer: 4*i**2*(i + 5)*(i + 4653)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -17\/2224224 and -17\/366255552?\nAnswer: 1098766656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let s(c) = c**3 - c**2 + 1. Let u(z) = 2*z**3 + 18*z**2 + 15*z - 26. Let o(h) = -s(h) + u(h). Is o(-14) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 936 and 26.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: (((-4)\/(-2))\/2)\/(1076\/(-2152))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-6552 + 10999 - 6688)*(1 - 1 - 1)*(-3 + 3 - 2*p) + 0 + p + 0 + 5*p + p - 4*p + p - 1 + 1 + (0 + 2 - 1)*(-2 + 2*p + 2) + 2 - 2 + p + 0 + 0 - p.\nAnswer: -4476*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let s(h) = -5*h + 4. Let q(r) = 85 + 83 + 88 - 259 + 4*r. Let d(b) = -4*b + 34. Let p be d(8). Suppose p*t - 3*t + 14 = 3*z, 25 = 5*t. What is z*s(f) + 4*q(f)?\nAnswer: f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2031189774 is divided by 83?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 782 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: What is the remainder when 215 is divided by 113?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -2.3 + 1.3. Which is the second smallest value?  (a) d  (b) -2  (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand k - 3 + 30 + 19 - 4*k - 2*k + 4*k + (3 + 1 - 3)*(0 + k + 0) - 2*k + 8*k - k.\nAnswer: 5*k + 46","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Sort -29, 0, -181, -3.\nAnswer: -181, -29, -3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 v when two letters picked without replacement from {a: 1, v: 8, b: 1, l: 2, i: 5}?\nAnswer: 7\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (2\/3)\/((-4)\/(-12)). Suppose -4*w = j + 13 - 4, j = -v*w - 5. Let g = w + 4. Solve 0 = -g*i + 8 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -588732 divided by -147183.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -1043747009, -1043747011, -1043747013, -1043747015, -1043747017, -1043747019?\n\"Answer: -2*a - 1043747007","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -50\/251877 and 13\/3051.\nAnswer: 2266893","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let f(u) be the second derivative of -u**6\/25 + u**5 - 223*u**4\/30 + 112*u**3\/15 + 64*u**2\/5 + 27*u. Determine c, given that f(c) = 0.\nAnswer: -1\/3, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(q) = -q**3 + 2*q**2 + 3*q + 1. Let a = 11 + 7. Let r be -2*3\/a*9. What is the remainder when d(r) is divided by 20?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -6  (b) -2\/11  (c) -1\/6  (d) 0.23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 891173 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 19 or 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 60 is divided by 26?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is -637532 - 4?\nAnswer: -637536","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let b(w) = 548*w**3 - w**2 - 4. Let o(d) = -548*d**3 + d**2 + 3. Give 3*b(p) + 4*o(p).\nAnswer: -548*p**3 + p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let q(f) = -f**3 - f**2 + f + 1. Let o be q(0). Let u be (-3 + 3)*(-1)\/o. Factor 4\/5*x + u - 2\/5*x**2.\nAnswer: -2*x*(x - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4*(sqrt(35) - (sqrt(35) - sqrt(35)*-2))*-6)\/(3*(sqrt(63) + sqrt(7))*2).\nAnswer: 2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Express -28*p**3 - 20*p**3 - 37*p**3 + (2*p - 4*p + 0*p)*(2*p**2 - p + p) as n*p + a + h*p**3 + m*p**2 and give h.\nAnswer: -89","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 3, -4524, -0.2, -4.38, -3?\nAnswer: -4.38","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3\/6 - (-12308)\/8?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(g) = -251*g - 14776. What is d(-59)?\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*b = r - 17, 4*b + 4*r = 3*b + 11. Let q(o) = o**3 + 8*o**2 + 5*o - 10. Let f be q(-7). Factor 8*k**4 - 5*k**f - k + k**b - 3*k**2 + 0*k**2.\nAnswer: k*(k - 1)*(k + 1)*(3*k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence oodd when four letters picked without replacement from doooodffooot.\nAnswer: 7\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 4161552851 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: 1326817 divided by -1326817\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Put together 50 and 55.\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let a(s) = 2*s**2 - 11*s + 9. Let b be a(5). Solve b*p = 2*z + 4, -4*p + z = -3*p - 2 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(i) be the second derivative of 0 - 33*i + 1\/6*i**3 - 1\/2*i**2 + 1\/20*i**5 + 2\/3*i**4. Suppose 4*q + 20 + 12 = 0. Give b(q).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 439\/678 - -13\/678. What is the biggest value in f, -0.1, 1831, 0.5?\nAnswer: 1831","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 10?  (a) 4  (b) 430  (c) 2\/5  (d) -5  (e) 3\/269  (f) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -6016.9 - -6037.8972. Let p = q + -21. What is p rounded to 3 decimal places?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3*sqrt(130)*-1*5*6)\/((3*sqrt(100) + sqrt(100) + sqrt(100) - sqrt(100))\/sqrt(10) + (sqrt(30)\/(sqrt(18)\/sqrt(6)) - sqrt(10))).\nAnswer: -45*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let y(i) be the second derivative of -2*i**3 + 21*i + 1. Let c(q) = -5*q**2. What is y(c(s))?\nAnswer: 60*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let n(l) = -l**2 + 19*l + 108. Let w(t) = t**2 - 10*t - 56. Calculate -3*n(h) - 5*w(h).\nAnswer: -2*h**2 - 7*h - 44","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -975 - -931. Let z = 6.1 - 53.1. Let m = d - z. What is the third smallest value in -1\/8, 12, m?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {s: 4, t: 3, e: 2}. Give prob of sequence st.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let a(s) = -965*s + 34749. Determine a(36).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -101\/210 and -77\/30.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 1  (b) 0.03  (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 120 - 120. Suppose -10*x - 5*x - 345 = a. Sort x, -3, -5 in decreasing order.\nAnswer: -3, -5, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(g) = 22414*g. Let n(s) = -87326*s. Determine l(n(b)).\nAnswer: -1957324964*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -7 - (5 + -10 + -2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let -1426*f**2\/3 + 3183784*f - 26792\/3 = 0. What is f?\nAnswer: 2\/713, 6698","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from hhkktkttkhhttk. Give prob of sequence htt.\nAnswer: 10\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((h**(-1\/8)*h**(-1\/2))\/(h**(-7)\/h**8))**41 assuming h is positive.\nAnswer: h**(4715\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: -190 (base 14) to base 11\nAnswer: -273","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 2*z**5 - 58*z**3 - 45899*z**2 - 10997748*z - 1?\nAnswer: 40*z**3 - 348*z - 91798","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -2 + (-3)\/(3\/2).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(z) = -z**3 - 6*z**2 - 3*z + 4. Let o = 5 - 1. Suppose o*a + r + 25 = 0, -6*a - 7 = -4*a - 5*r. Is s(a) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(f) = 16*f + 42. Let s(u) = -11*u - 28. Let x(v) = 5*l(v) + 7*s(v). Let b be x(-6). Is 1897\/9 - b\/18 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 9967233 to the nearest integer?\nAnswer: 215","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((x**(-1\/2)\/x**(4\/5))\/(x**(1\/11)*((x\/x**5)\/x)\/x))**17 assuming x is positive.\nAnswer: x**(8619\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 138, 280, 422, 564, 706, 848?\nAnswer: 990","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d(j) = 3*j - 38. Let o(i) = 5*i - 57. Calculate 8*d(w) - 5*o(w).\nAnswer: -w - 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 65 - 9 = 2*j - 2*t, 137 = 5*j - 4*t. What is the highest common factor of j and 32?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*a - 2599 = 5*p, 345 = -p - a - 170. Let r = -223 - p. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.4 in 2, -4, 41\/6?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 2486801743 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 2.3 - 11261059507880?\nAnswer: -11261059507877.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 1\/8, 2, -0.1, 0.27?\nAnswer: 0.27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1\/5*f**2 - 8\/5*f + 0 = 0. What is f?\nAnswer: 0, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -51, -107, -163, -219?\n\"Answer: -56*h + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is (-24)\/(-1092)*(-130)\/(-20)?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence hghg when four letters picked without replacement from {h: 5, g: 5}.\nAnswer: 5\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Product of -3173 and -0.00189.\nAnswer: 5.99697","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Express -6 + 6*j**4 - j**3 - 8*j**4 - j**4 in the form n*j**2 + p*j**4 + x + o*j**3 + l*j and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 32 + (1\/(-4))\/(5\/(-80)). Let g be (2\/(-3))\/(4\/l). Which is greater: -8 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(z) = z**3 - 9*z**2 + 8*z - 11. Suppose 0 = 2*m + m - 27. Let i be r(m). Suppose 4*f - 19 = i. Solve f = -4*h, -3*h - 12 - 12 = -3*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 12356685, 12356690, 12356699, 12356712, 12356729, 12356750?\n\"Answer: 2*m**2 - m + 12356684","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b(v) = -v**3 + 101*v**2 - 184*v - 1373. Let o be b(99). Let d(u) = 2*u**2 - 30*u - 7. Calculate d(o).\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 51267.99918206 - 51268. What is k rounded to five decimal places?\nAnswer: -0.00082","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -474 + 733. Let d = 503\/2 - h. What is the common denominator of (-538)\/(-220)*5 - (4 - -4) and d?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: -62795300 divided by -6279530\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 120*f - 115*f - 5 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -10*z + 8*z + 10. Suppose -2*m + 40 = -0*d + 2*d, z*m - 5*d = 80. Is 9 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1*((2*sqrt(4455)*3)\/(3*sqrt(45) - sqrt(405)*2) + -2).\nAnswer: 2 + 6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -20201332 - -2322?\nAnswer: -20133010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 24\/(-192) - (-51)\/24. Solve -5*l = -p*o + 7 + 4, -5*l + 4*o = 7 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -3 - -4b718?\nAnswer: 4b715","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 35*l**5 + 8 - 17*l - 3*l**5 + 23*l**5 - l wrt l.\nAnswer: 1100*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -821 - -835. Calculate the greatest common factor of f and 924.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 67\/4, 4\/3, -96 in descending order.\nAnswer: 67\/4, 4\/3, -96","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let z(q) = 5*q - 73. Let f be z(22). Suppose -6*g + 1895 = -f. List the prime factors of g.\nAnswer: 2, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 91776, 367475, 826980, 1470297, 2297432, 3308391, 4503180, 5881805?\n\"Answer: p**3 + 91897*p**2 + p - 123","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Express (5 + 2 - 5)*(1 + 2*k - 1)*(-1544*k - 413*k + 300*k)*(4 + 7 - 2) in the form g*k**2 + f + c*k and give g.\nAnswer: -59652","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 1\/2 greater than or equal to 2866?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let c(h) = 6*h + 282. Let i be c(-29). Solve 128 = i*m - 44*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -2 + -14. Let z = -15.5 - u. Which is the smallest value?  (a) z  (b) 3  (c) 0.03\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 44*w**5 + 344*w**3 - 157278*w wrt w?\nAnswer: 880*w**3 + 2064*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let f(o) = 7*o**2 + o - 28. Let w(z) = -20*z**2 - 3*z + 83. Let c(v) = -11*f(v) - 4*w(v). List the prime factors of c(-6).\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0050626037 to 3 dps.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"}
{"text":"Question: Let z(p) = -p**2 - 25*p + 13. What is the tens digit of z(-8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 b when two letters picked without replacement from bjbbbbbbjjjjbjbjjj.\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -32*h**2 - 14*h + 7*h + 0*h - 25*h wrt h?\nAnswer: -64","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 261380569 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -256 + 250. Let r(p) = p**2 + 5*p - 1. Give r(w).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {r: 6, w: 3, c: 4, a: 2, k: 3}. Give prob of sequence kcr.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 - 1 + 2)*(0 - 4 + 2)*(359981*h + 3 - 359981*h - 57*h**4 + 9*h**2).\nAnswer: -114*h**4 + 18*h**2 + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*a + 0 = 8. Suppose -v + 4 = 3*p, 0*p = -a*v + 5*p + 16. Suppose 5*t = -2*j + j + 445, 0 = 3*t + v*j - 267. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: 15 + 5 - (-25 + 29) - 27\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -542*f = -63 + 3249 + 6028 for f.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 573803*w - 573806*w - 3*r - 24 = 0, -4*w - 5*r = 34 for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Put 6, 413, -22 in decreasing order.\nAnswer: 413, 6, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 1\/6  (b) -1\/5  (c) 47  (d) 0.02\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Convert 489.2271mm to centimeters.\nAnswer: 48.92271","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many centimeters are there in one twentieth of a meter?\nAnswer: 5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 2760 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let b(u) = 10*u - 2. Let k(n) = 4*n - 1. Let y(t) = t**3 + 7*t**2 - t - 12. Let q be 7*(3 + -3 + -1). Let x be y(q). Determine x*b(m) + 12*k(m).\nAnswer: -2*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 2 - 30*b**2 - 4*b**3 + 30*b**2 wrt b?\nAnswer: -12*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 12 - 12. Suppose 16 = 5*s + 7*r - 3*r, s - 3*r = 7. Solve -s*x - 4*t + 7 = 27, 5*x + t + 21 = z for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(k) = k + 1. Let l = -10 - -15. Suppose -l + 1 = -4*i. Let s be w(i). Solve -s*c = -c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -51\/70 and 653\/(-273) - ((-4)\/(-26))\/(-1).\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-12)\/40*38210\/12. Let z = n - -968. Find the common denominator of (-2)\/8 - 414\/(-40) and z.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(k) = -k**2 + 111298*k + 5567404. Calculate b(-50).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from iyxbxbbbibibbubbb. What is prob of picking 3 i?\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let s(g) = -496*g - 208. Let z(x) = -496*x - 213. Let o(f) = 5*s(f) - 6*z(f). What is the first derivative of o(k) wrt k?\nAnswer: 496","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 6662, 27793, 63012, 112319, 175714, 253197, 344768?\n\"Answer: 7044*x**2 - x - 381","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-24)\/144*4*(-6)\/(-4). Put m, 3, -23, 22 in increasing order.\nAnswer: -23, m, 3, 22","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 98271 and 21?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 w and 1 k when three letters picked without replacement from wkjjkjwnjf.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*u + 0*u - u)*(3*u - 3*u + u)*(-3 - 9*u**2 + 11*u**2 + 0*u**3 + 2*u**3).\nAnswer: -6*u**5 - 6*u**4 + 9*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -4*w + 3*h - 25, -6*w + 23*w = 3*h + 33 - 110 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 146522650 divided by -61850?\nAnswer: -2369","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -92\/147441 and 75\/98.\nAnswer: 294882","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from prhhrrhph. Give prob of sequence pr.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 42361410 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -3  (b) 0.3  (c) 0.06  (d) 20\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 7 - (0 - ((2 - -1) + -27 + 1)).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -502*j + 360 = -508*j. Let h be (-1428)\/182 + 1 + j\/52. Let d(w) = 3*w + 14. Determine d(h).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -363, -364, -365?\nAnswer: -366","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v(i) = -2*i**2 + 19*i - 8. Let f be v(10). Let t be ((-6)\/(-4))\/(9\/f). Which is the nearest to -1?  (a) -1  (b) t  (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 207 minutes before 4:12 PM?\nAnswer: 12:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 4009 is divided by 34.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Express (4*c - 2*c - 4*c + (2*c + 2*c - 6*c)*(0 - 5 + 4) + 3*c + 0*c - c + c - 6*c - 2 + 4*c)*(-298 - 681 - 21) in the form f*c + u and give f.\nAnswer: -1000","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let u(s) = -s**3 + s**2 - s - 1. Let n(y) = 3*y**3 + 2*y + 2. Let w be 4\/(-3)*(4 + 33\/(-6)). What is w*u(j) + n(j)?\nAnswer: j**3 + 2*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Product of -160007 and 1.\nAnswer: -160007","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 299904 and 660?\nAnswer: 1499520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 216321713 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let l(u) be the third derivative of 0*u + 0 + 0*u**3 + 5\/12*u**4 - 5\/42*u**7 - 7\/12*u**5 - 64*u**2 + 5\/336*u**8 + 3\/8*u**6. Factor l(s).\nAnswer: 5*s*(s - 2)*(s - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*q**3 - 2*q**3 + q**3)*(q - 4*q + 0*q) + 2*q**4 + 89780 - 89780 - 32*q**2.\nAnswer: 5*q**4 - 32*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let g(j) be the third derivative of j**4\/12 + j**3\/2 - 4*j**2. Let d(x) = x - 4. Let l be d(3). Let i = l + -4. Calculate g(i).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 0.3976 - 0.4. What is s rounded to 3 decimal places?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence qwe when three letters picked without replacement from uoooeussusesesseoewq?\nAnswer: 1\/1368","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1 (base 16) to base 7.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v(y) = y + 5. Let f(h) = h**2 - 4*h + 7. Let d be f(2). Let g(c) = -c**3 + 5*c**2 - 6*c + 9. Let k be g(d). Let a(p) = -6*p + 50. Let q be a(k). Give v(q).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1911419773 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*h = 2, 3*g - h = 13 + 3. Suppose -g*o - 5*m = -320, 92 = 2*o - 2*m - 20. Is 20 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {y: 15, e: 3}. What is prob of sequence ee?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let o(a) = -102*a - 7. Suppose 10 = -3*z + 37. Suppose 0 = -20*n + 23*n + z. Is o(n) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 27 a factor of 5423?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -2558, -5117, -7676, -10235?\n\"Answer: -2559*r + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-28)\/(-8) + 1\/2. Suppose 4*p = o*x - 24, -2*x - x = p - 14. Let t be ((-1)\/2)\/((-13)\/(-286)) - -13. Solve z + 4 = -x*b + 23, t*b = 6 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, 2, 5, 3 in decreasing order.\nAnswer: 5, 3, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Does 39 divide 7956?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -413 + 449. What is the highest common divisor of m and 81?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 g when three letters picked without replacement from {d: 4, g: 16}?\nAnswer: 28\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 3584 and 2582016.\nAnswer: 18074112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let k(x) = 2*x. Let v(s) = -239*s + 117*s - s**2 + 125*s. Suppose -6 = u + 2*u. Calculate u*v(i) + 3*k(i).\nAnswer: 2*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is -4.89077 minus -0.6184713?\nAnswer: -4.2722987","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 0.47 - 0.97. Let v = 98.6 - 99. What is the smallest value in 1\/7, 5, w, v?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3.86127mg in kilograms?\nAnswer: 0.00000386127","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand -4*t**4 + 3*t**4 - t**4 + (t + 0*t + t)*(21*t**2 - 8*t**2 - 9*t**2)*(4 - 7 - 6)*(132*t + 2 + 116*t - 269*t).\nAnswer: 1510*t**4 - 144*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 3*y**2*z**2 - 3355*y**2*z - 14*y*z**2 - 2*y*z - 315 wrt y?\nAnswer: 6*z**2 - 6710*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from wuwwwuwuwww. What is prob of picking 4 w?\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -792, -1579, -2366, -3153?\n\"Answer: -787*w - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*v - 5*n = 70 - 20, 2*n - 15 = -5*v. Suppose 0 = 5*k + 3*a - 118, 3*k - 70 = -3*a + a. Let h = k - 22. Solve 5*l - v = -f + 1, 2*f = -2*l - h for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -34544532 (base 6) to base 8\nAnswer: -4054710","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 16358?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -696124135, -1392248271, -2088372407, -2784496543, -3480620679?\nAnswer: -4176744815","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (27*m - 59*m + 43*m)*(2 + 1 - 1)*(2*m - m - 2*m + (-3 - m + 3)*(3 - 6 - 2)) to the form w*m**2 + r + q*m and give w.\nAnswer: 88","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-55)\/10 + 3)\/(165\/924).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -5374, -5353, -5332?\nAnswer: -5311","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Find p, given that -p**5\/6 - 153*p**4\/2 + 2*p**3 + 2762*p**2\/3 + 1224*p = 0.\nAnswer: -459, -2, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 29750 is divided by 211?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 472 minutes after 4:19 PM?\nAnswer: 12:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.005286059 to 4 decimal places.\nAnswer: 0.0053","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let m(g) be the first derivative of 2*g**2 + 7 + 2\/3*g**3 - 73*g. What are the prime factors of m(-12)?\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*p, -4*b - 4*p + 14 = -6. Suppose -b*n - 80 = -10*n. Does 14 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*l - 167 = 2*a, a = -0*a - 2*l - 84. Let c = -58 - a. Suppose -7*k - c = -x - 3*k, -5*x + 141 = k. What is the highest common factor of x and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 226549402, 226549405, 226549408, 226549411, 226549414?\nAnswer: 226549417","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 151 - 1313124144?\nAnswer: -1313123553","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -169cbad4 - -4?\nAnswer: -169cbad0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -8295*r - 3*r**4 - 2 + 0*r**2 - r**2 + 12*r**3 + 8295*r to s*r**2 + u*r**4 + t + m*r + z*r**3 and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -10 - -7. Let i be (0 - 1) + v\/(-2). Let g = -14995\/29 - -517. Is g bigger than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-8)\/32 + (-42)\/(-8). Find i such that -9*i**2 + 15*i - o*i**3 + 3*i**3 - 6 - i**3 + 3*i**4 = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sum -0.5 and 2715150182600.\nAnswer: 2715150182599.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 5*y + 5*y - 9*y + 22*y**2 to the form i*y + f*y**2 + a and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 312 and 13704.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 61443 is divided by 48.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 9781.23 - 9875. Round q to the nearest ten.\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 134993 and 1529183.\nAnswer: 93280163","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-h**4 - 2*h**4 - h**4)*(4 - 1 + 0 + 2*h) + 0*h**5 + h**5 + h**5.\nAnswer: -6*h**5 - 12*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Convert 4 (base 6) to base 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a(o) = o**3 - 14*o**2 + 15*o - 14. Let m(g) = g**2 + g - 2. Let j(n) = a(n) + 4*m(n). Let c be j(8). Solve -3*w - c*b + 5*b - 6 = 0, -3 = b for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(v) = 67969*v - 747563. Calculate x(11).\nAnswer: 96","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 19*b - 114 = -0*b. Suppose -b*o = 9*o - 60. Solve -23 = -4*a - 5*x, -x - o*x + 7 = -4*a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(b) be the third derivative of 19*b**5\/60 + b**4\/12 + b**3\/2 + 15*b**2 - 1. Differentiate s(q) wrt q.\nAnswer: 38*q + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2 + -6*6*(sqrt(2448) + sqrt(2448) + (2 + sqrt(2448) + sqrt(2448) + sqrt(2448) - sqrt(2448)) + sqrt(2448)))*-3.\nAnswer: 222 + 6480*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 796886 is divided by 398434.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -489, -989, -1503, -2031, -2573?\n\"Answer: -7*a**2 - 479*a - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 8 + -9. Suppose 15 - 5 = 5*l. Let w(h) = -h**3 - h**2 - h - 1. Let y(a) = -5*a**3 - 2*a**2 - 2*a - 2. Determine l*w(s) + p*y(s).\nAnswer: 3*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 2 + 250?\nAnswer: 252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -22*j - 6 - 11 + 17 = 0 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: 277524 (base 9) to base 6\nAnswer: 3344551","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, -6, 26 in increasing order.\nAnswer: -6, -4, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is -16.02381901 rounded to three decimal places?\nAnswer: -16.024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3684 = -2*m + 982. Let z = m - -1903. Is (z\/40)\/(1\/5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*n - 2*n + 10 = 0. Let t(v) = 726*v**2 - 7*v + 7. Is 42 a factor of t(n)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3*sqrt(17)*-3 + (0 + sqrt(1700) - sqrt(1700)) + sqrt(1700) - 1*(sqrt(833) - (-2*sqrt(833) + 4)))**2 + 3.\nAnswer: -160*sqrt(17) + 6819","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Round 16217000 to the nearest 100000.\nAnswer: 16200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 7 + -4. Suppose 2*g - z = 5. Let t = 88 + -81. Solve -n + t = 3*l - 7, -g*n = -8 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find q such that -4*q**4\/3 + 8*q**3\/3 + 20*q**2 - 128*q\/3 + 64\/3 = 0.\nAnswer: -4, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -18\/7 - -68\/21. Let z = -0.32 + 2.22. Let q = z - -0.1. Which is the nearest to d?  (a) q  (b) -3  (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.43687 rounded to 2 decimal places?\nAnswer: -0.44","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let p(y) = -y**3 + 22*y**2 - 23*y - 53. Does 14 divide p(18)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 169989 is divided by 139?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let z(l) = l**2 - l - 2. Suppose 0*j = 5*j. Calculate z(j).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 0 - -6 - 9\/(4 - 1). Suppose -154*o**3 + 73*o**3 + 83*o**u + 96*o - 26*o**2 - 72 = 0. What is o?\nAnswer: 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 518793 a multiple of 237?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 53009 equal to 1940?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 378 - 286. Let g(u) = -u**3 + 94*u + 5 - 11*u**2 + z*u - 195*u. Calculate g(-10).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 112 + -118. Let t be (-2 + -1)\/((-63)\/14 - r). Put t, -5, 30 in decreasing order.\nAnswer: 30, t, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (1 - 7)\/(4\/(-10)). Suppose 2*p + 2*g + 6 = 0, 3*g - 4*g - d = -5*p. Determine c so that c**2 + 0*c - 3*c**2 - p*c = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3434279 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let i(p) be the first derivative of 2*p**4 - 6*p**2 - p**4 + 2 + 10*p**2 + 4*p**3. What is u in i(u) = 0?\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(w) = 19*w**3 - 12*w**2 - 37*w - 52. Let f(u) = 5*u**3 - 3*u**2 - 9*u - 13. Let j(v) = 2*b(v) - 9*f(v). List the prime factors of j(-3).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1 - (-10 + (4 - 0)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*s**4\/5 + 32*s**3\/5 + 42*s**2\/5 - 188*s\/5 + 112\/5 = 0.\nAnswer: -14, -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-u**2 - 3*u + 3*u)*(189980*u**2 - 23 + 138 - 59 + 87467*u**2 - 56).\nAnswer: -277447*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -14 - -12. Let v = 2.1 + w. Is v at least as big as 2\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5797*r + 261154 - 740314 = -4851*r for r.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 139946*q - 139946*q - q**3 - 4*q**3.\nAnswer: -5*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is ((-8)\/20)\/((-2)\/370) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -47711, -95425, -143139, -190853?\nAnswer: -238567","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 622.5379 centuries in months?\nAnswer: 747045.48","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k(b) = -b**3 + 6*b**2 - 3*b - 37. Give k(6).\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -111 - -79. Let z = 57 + j. Suppose 6*c = 3*c + f + 35, c - z = 3*f. What is the units digit of c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in 11\/4 of a century?\nAnswer: 275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 556 minutes before 2:56 PM?\nAnswer: 5:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 1872 and 324.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-25*o**2 + 192*o**2 - 17*o**2)*((-1 + 1 + 2)*(o - 1 + 1) + 3*o - 5*o - 5*o) to g*o + m*o**3 + c + w*o**2 and give m.\nAnswer: -750","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 3215 + 2851. What is the units digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (2 - -3 - 11) + -1.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -0.4, 21, 8, 3, 33?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -115*x - 566 = 469 for x.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3*(((sqrt(357) + -3*-2*sqrt(357) + sqrt(357) - sqrt(357))\/sqrt(7))\/(sqrt(108)*3))**2.\nAnswer: -833\/108","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let g(r) = -r**3 + 25*r**2 - 45*r - 1. What is the smallest common multiple of g(23) and 6?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many decades are there in 1235405.7 months?\nAnswer: 10295.0475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w(a) = 2*a. Let n(q) = -4*q - 11395 + 11394 + 5*q. What is n(w(y))?\nAnswer: 2*y - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: 82910584*11\nAnswer: 912016424","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 638*y**6 - 17*y**2 + 26*y wrt y.\nAnswer: 76560*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (19 + 41 - 21)*(1 - 2 - 3)*(-t - t + t).\nAnswer: 156*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let y(u) = 2*u**3 - 429*u**2 - 212*u + 886. Give y(215).\nAnswer: 1531","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-4)\/1 - -26*2675\/10. Suppose x = 4*t - 7*b + 2*b, -3473 = -2*t + 3*b. List the prime factors of t.\nAnswer: 2, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(b) be the first derivative of b**2\/2 - 2*b + 758. Let y(j) = -1. Suppose 0 = 2*z + 5*t + 23, 4*t + 7 = -13. What is z*y(s) - q(s)?\nAnswer: -s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -197 + 197. Solve 0 = -3*r + 2*s - 18, f = -r + 4*s + 3 - 19 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(x) = -x**3 - 20*x**2 - 18*x + 21. Let i be d(-19). Suppose -3*j - 5*m - 10 = 2*j, 8 = i*j - 4*m. Suppose j*k = -2*k + 4. Solve k*f + 4 = -0*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -35*c*g*s*u**2 + 7*c*s*u**2 - 2*c*s + 8*g*s*u + 3*g*s + 4*g*u**2 + 18*g wrt u?\nAnswer: -70*c*g*s + 14*c*s + 8*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4 + 2 + 3 + (sqrt(48) + 0)**2 + 3.\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2132 (base 4) to base 2.\nAnswer: 10011110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 51969204 and 5712.\nAnswer: 207876816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 13*l**3 + 2 + 18*l**3 - 4*l + 13*l - 10*l - 4*l**2 to s*l**3 + v*l**2 + c*l + o and give v.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 8 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Determine b so that -2*b**3\/5 + 28*b**2 = 0.\nAnswer: 0, 70","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 70*p**5 + 9606*p**4 - 4800*p**4 - 4804*p**4 + 366*p**2 wrt p?\nAnswer: 4200*p**2 + 48*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(v) = -v + 14. Let z be x(12). Let i(c) = 2 - z + 185*c - 186*c. Let d(b) = 9*b. Let n(q) = 4*q. Let r(p) = 6*d(p) - 13*n(p). What is r(i(o))?\nAnswer: -2*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Put 18, -1, -3 in decreasing order.\nAnswer: 18, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let a(s) be the third derivative of 15*s**8\/112 - s**7\/105 - 11*s**5\/20 + 2*s**2 + 41. Find the third derivative of a(c) wrt c.\nAnswer: 2700*c**2 - 48*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -5  (b) -0.2  (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Express (i**2 + i**2 + 0*i**2)*(-163 + 11*i**2 + 163) + 2*i**4 + 3*i**4 - 4*i**4 as z*i**3 + d*i**2 + y + a*i**4 + u*i and give a.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-2*b**2 + 2 + b**2 + 2*b**2)*(-13451 + 32*b + 13451) to h*b**3 + c + t*b + a*b**2 and give t.\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4 = -w + x, 6*w - 895 - 916 + 1743 = -5*x for w.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 295 is divided by 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.1008 and -3.\nAnswer: -0.3024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 1192553 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of (-1)\/(-8) + (-7932)\/(-32)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 0.5485 + -0.448. Let r = v - 0.1. What is r rounded to four dps?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -11202102 (base 4) to base 16.\nAnswer: -5892","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (81\/108)\/((-1)\/2)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 189*r**4 - 50*r**2.\nAnswer: 4536*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is -1903\/7 not equal to -273?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 51440000 rounded to the nearest one million?\nAnswer: 51000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let q(m) = 13*m**2 - 4*m - 3. Give q(-1).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2?  (a) -134  (b) 1\/3  (c) -1\/5  (d) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 17\/2 of a second in milliseconds?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in seven halves of a gram?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose i + 5*g = -0*i - 15, 19 = -5*i + 3*g. Let b = 5 + i. Solve 2 = -3*o - 2*l, 4*l + b*l + 2 = -5*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 3 - 13012230?\nAnswer: -13012221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let v(r) = -2*r**3 - 33*r**2 - 329*r - 49. List the prime factors of v(-21).\nAnswer: 7, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -9*c - c**2 + 15*c - 4 + 3 + 0*c in the form f*c**2 + o*c + z and give o.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let d(o) be the first derivative of 2*o**2 + 17 + 1\/3*o**3 + 13*o. What is the tens digit of d(6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let u be 2\/(-35)*-5 - 46\/112. Sort -1\/5, u, 2 in descending order.\nAnswer: 2, u, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 134267 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: ((76\/(-285))\/(-6 - -8))\/(1\/10)\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 200106 and 288.\nAnswer: 3201696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let p(v) be the third derivative of 0*v + 2\/3*v**3 + 1\/12*v**4 - 1\/30*v**5 + 0 + 31*v**2. What is u in p(u) = 0?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1334 a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let w(b) = 7*b**2. Let i(x) = 30*x**2. Give i(w(j)).\nAnswer: 1470*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(475) + (4*sqrt(475))**2)*-3 + -4.\nAnswer: -22804 - 15*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -6958 + 9856. Suppose -27*c = -20*c - j. List the prime factors of c.\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (2 - 2 - r)*(-9 + 12 - 5) - 3*r + 3*r - r - 8*r - 11*r - 5*r + 32*r + 3 as p*r + i and give i.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -142, -332, -576, -880, -1250?\nAnswer: -1692","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 99918128 to the nearest integer?\nAnswer: 464","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let c(z) = -z**2 - 14*z - 8. Let k(d) = 6*d**2 + 71*d + 38. Give 11*c(f) + 2*k(f).\nAnswer: f**2 - 12*f - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {w: 4, q: 4, d: 2}. Give prob of sequence qqwd.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Product of -4 and 3044.\nAnswer: -12176","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -6982, -14024, -21100, -28204, -35330, -42472, -49624, -56780?\n\"Answer: g**3 - 23*g**2 - 6980*g + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t(f) = -f + 18. Let h be t(9). Let y be ((-6)\/h*6)\/(-2). Suppose g + 9 = y*g. What are the prime factors of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-4 + 3)\/((2 - 0)\/(-4)). Let h(x) = 630 - 630 - m*x. Let j(l) = -11*l. What is j(h(y))?\nAnswer: 22*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 885*l + 885*l + 276 = 1747*l for l.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 422668486?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let g(r) be the second derivative of r**2\/2 - 18*r. Let p(i) = -i**2 + i + 4. What is 4*g(j) - p(j)?\nAnswer: j**2 - j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: (6\/(-4))\/((-8736)\/151424)\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -715 - -3?\nAnswer: -712","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let s be ((-2 - 0) + -340)\/(3\/(-6)). Let v(r) = r**2 - 11*r - 17. Let b be v(13). Let f be 116\/s + (-2)\/b. Is 1 >= f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 25, -3, -33, -65, -99, -135?\n\"Answer: -c**2 - 25*c + 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 611 + -6726\/11. Let x = i - -7\/11. Let u be 2 + 0 - (-1 - -2). Which is smaller: u or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 105894?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -259*o = 2*y - 249*o + 38, -y + 5*o = -31 for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*i = 2*i - 12. Let x(w) = -2*w - 2 + 4*w + 2*w - i*w. Suppose 0 = -k - 1, -3*p = 2*k + 3*k + 17. Determine x(p).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -1\/10*v**3 + 1\/5*v**2 + 12\/5*v + 0.\nAnswer: -v*(v - 6)*(v + 4)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify d*d*d\/(d*d**(1\/3)*d)*(d**(4\/5)\/d*d)\/d*d**(-12)\/d**(1\/18) assuming d is positive.\nAnswer: d**(-1043\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let h(i) = 3221*i - 25156. Calculate h(8).\nAnswer: 612","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -2 - 0. Let m = y - -4. Sort m, -5, 5 in increasing order.\nAnswer: -5, m, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(n) = n**3 + 28*n**2 - 6*n - 120. Give k(-28).\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -7*t**3 - 2297503*t - 2297307*t + 4594810*t.\nAnswer: -7*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, 3, -292, 0, -1, -3, -4230 in ascending order.\nAnswer: -4230, -292, -3, -2, -1, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.2532 rounded to two dps?\nAnswer: 0.25","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 7.97 + -0.63. Let l = 8 - m. What is l rounded to one dp?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 279840 and 16544.\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"}
{"text":"Question: Simplify ((v*v*v*v\/(v*v*((v**7\/v)\/v)\/v))\/v*v*v*v\/(v*v\/v**(-1\/2))*v**(1\/5)*v\/((v**6\/v)\/v*v))\/(((v**1\/v)\/v)**(-7)*v**0*v**(2\/15)) assuming v is positive.\nAnswer: v**(-403\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2\/21, -3, 2, 136 in ascending order.\nAnswer: -3, 2\/21, 2, 136","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1286097 is divided by 618?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let l(n) = 2*n**3 - 21*n**2 + 42*n + 16. Let g = -257 - -278. Is l(g) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*i - 12 = 2*i. Let d(o) = 2*o**2 + 19*o + 12. Let r be d(-9). Let -5*g**r + 3*g**3 - 7*g**i + 1 - 1 = 0. Calculate g.\nAnswer: -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 2 - (4 + (0 - -4 - 8)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j(t) = -8*t**2 - 1684*t + 40934. What is j(22)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is (12\/(-4))\/(39\/52)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -21*t - 190 = 62 for t.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*x = m + 4 + 4, -x - 1 = -3*m. Factor k**x + 5*k**4 + 7*k**3 - k**2 + 1 - 4 - 8*k - 3 + 2.\nAnswer: (k - 1)*(k + 1)**2*(k + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 131*v - 125*v + 18 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is -4264304 divided by -24229?\nAnswer: 176","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 1154587979 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 3 - 2. Let y = 15 - 6. Suppose 5*r - x - y = 0. Solve -5*l + 7 = b, b + r*l - 2 = -1 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -13699 divided by 6?\nAnswer: -13699\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2158*a - 28526 = -480*a for a.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -18 + 29. Suppose l - r = y + 5*l, -l = 2. Let d be 4\/16 + (-37)\/20. Which is smaller: y or d?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 7*g*n*o*s**3 + 3*g*n*s + g*o + 48*n*o*s**3 + n*s**3 + o*s**2 - 32*s wrt s.\nAnswer: 42*g*n*o + 288*n*o + 6*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:58 PM and 7:47 PM?\nAnswer: 289","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, -23, -2\/15 in decreasing order.\nAnswer: -2\/15, -4, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Do 1 and 1\/21333 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 55 divided by -211141?\nAnswer: -55\/211141","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let l(d) = 218*d**2 - 74*d - 3. What is l(0)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 337874.\nAnswer: 2, 168937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -4734 + 5843. Is 12 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 33*-4*2\/(-12). What is the greatest common factor of z and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0*u + 5*u = 20 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 628093, 628094, 628095, 628096, 628097, 628098?\n\"Answer: s + 628092","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*w = w. Suppose -21 = -m - 2*t, t = -w*m + m - 18. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -528 - -979. Does 11 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5*(1*sqrt(156)*3 - -5*(sqrt(156) + -2*sqrt(156))))\/(3*(sqrt(48) + sqrt(432) + sqrt(48))\/sqrt(4)*-6).\nAnswer: sqrt(13)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let u(l) = -44*l**2 - 196*l + 24. Let g(i) = 23*i**2 + 97*i - 14. Calculate -5*g(j) - 3*u(j).\nAnswer: 17*j**2 + 103*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 10\/6 - (-3)\/9. Find the third derivative of 0*h**2 + 0*h**4 + h**4 - 2*h**q wrt h.\nAnswer: 24*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -1\/2, 0.1194, 96\/11, -5?\nAnswer: 0.1194","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Add -0.074 and -7061.\nAnswer: -7061.074","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -8469, -8393, -8273, -8115, -7925, -7709, -7473, -7223?\nAnswer: -6965","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 3538 - 2618. What is the greatest common divisor of j and 60?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -14*d**2 + 22*d - 2*d**2 + 18*d**2 - d**2.\nAnswer: d**2 + 22*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 3549 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*n - 14 + 274. Suppose -n*p = -56*p + 12. Suppose -11*w + 1528 = -p*w. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 1480135, 1480130, 1480133, 1480150, 1480187, 1480250, 1480345?\nAnswer: 1480478","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 6829844027?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let d(v) = -v + 2. Suppose 75 = 5*h - 10*h. Let a be ((-25)\/h)\/(1\/3). Suppose -3*k = -5*l - k - 4, a*k = -l + 10. Give d(l).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 77.7 - 78. Which is the biggest value?  (a) h  (b) 0.3  (c) 1\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -7*r**2 + 0 - r - 16*r**4 + 17*r**4 + 2*r**3 + 2 + 8*r**2 as o*r**2 + w + k*r**3 + x*r**4 + j*r and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let r(d) = -d**2 + 6*d + 1. Suppose -z = -0*z - 2. Suppose -2*s - 13 = -3*s - z*y, -4 = -4*s + 4*y. Determine r(s).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth biggest value in -29\/4, -1\/2, -0.1, -5, 2\/5, 9\/5?\nAnswer: -29\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -3*i**3*m**3 - 13*i**3*m**2 - 39*i**3 + 44*i**2*m**3 - 2*i**2*m - 2 wrt i.\nAnswer: -18*m**3 - 78*m**2 - 234","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2 + 2 + v + (-2*v + 4*v - v)*(-96 - 80 + 26 + (-2 - 2 + 5)*(1 - 1 + 2)*(-5 - 2 + 3)).\nAnswer: -157*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let y(q) = q**2 - 5*q + 2. Let v be -4*(-1 - 0\/2). Give y(v).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -31647637 (base 8) to base 9\nAnswer: -13658448","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*w - 5*n = -143, 2*n - 109 = 6*w - 9*w. Solve 0 = 15*d - 38 - w for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(l) = l**2. Let h(u) = 29*u**2 + 8*u + 101. Let i(y) = h(y) - 6*j(y). What is the tens digit of i(-7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:33 PM and 10:28 AM?\nAnswer: 655","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let q(h) be the third derivative of h**8\/336 + h**4\/6 + 2*h**3\/3 + 3*h**2. Let x(b) be the first derivative of q(b). Differentiate x(i) with respect to i.\nAnswer: 20*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(i) = -15*i - 553. What is w(-39)?\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 124 - 75. What is the units digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 8 and 356?\nAnswer: 2848","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -3 in 1\/5, -1\/1759, 412?\nAnswer: -1\/1759","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let o(u) = u**3 - 21*u**2 - 11*u - 8. Does 16 divide o(22)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify q*q*q\/((q\/((q*q*(q**(2\/23)\/q)\/q)\/q))\/q*q)*q**(1\/42)*(q**(2\/13))**(-2\/15) assuming q is positive.\nAnswer: q**(22819\/20930)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 40 + -159\/4. Which is the third smallest value?  (a) 0.5  (b) u  (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 238 is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -358 + 823. Let y = x - 475. Sort -0.4, -4, y.\nAnswer: y, -4, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -48614, -48604, -48572, -48506, -48394, -48224, -47984, -47662?\nAnswer: -47246","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Total of 0.4 and 1748.\nAnswer: 1748.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -4 minus -0.083378?\nAnswer: -3.916622","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 32987?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -10 + 4515?\nAnswer: 4505","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1118*x - 37479 + 9871 - 46619 = 40927 for x.\nAnswer: -103","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (b*(b**(2\/7)\/b)\/b)\/b**(-5\/3)*b*b**(1\/23)*b**21 assuming b is positive.\nAnswer: b**(11107\/483)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let k(t) = -t**3 + 3*t**2 - t + 38. What is k(5)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let p(y) = -10*y**2 - 1842*y - 16103. Give p(-175).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is -1 < -8\/244447989?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Sort -24, 1120, 55.\nAnswer: -24, 55, 1120","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Sort -73, -24, 2, -5.\nAnswer: -73, -24, -5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Are 13 and -0.7211 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Determine z so that -196*z**4 - 36643488*z**3 - 94225056*z**2 - 44868992*z - 5982528 = 0.\nAnswer: -186954, -2, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 52873 - 31465. What is the highest common factor of g and 288?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(m) = -6*m + 5. Let d(i) = -21 + 50 - 4*i**2 - 22. Let h(k) = k**2 - 2. Let x(s) = -2*d(s) - 7*h(s). Calculate x(u(a)).\nAnswer: 36*a**2 - 60*a + 25","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -83*t**2 + 24*t**2 + 20*t**2 + 23*t**2 + 22*t**2.\nAnswer: 6*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 0*((-1)\/2)\/(-1). Solve 2*s = -s - k - 3, m = k - 3 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 8*w - 4*w + 2*x + 22, -3*x - 21 = 3*w. Is 17 a factor of (-38)\/w*(0 - -2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(o) = -o**2 + 23*o + 16. Let t be s(7). Suppose t*h = 121*h + 28. What is the smallest common multiple of 4 and h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 74052?\nAnswer: 2, 3, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let x(a) = 2*a**2. Suppose 42 = 2*r + 4*r. Let c be 7 - r - (-2)\/2. Let v(d) = -6*d - 36. Let g(z) = -1. Let m(n) = c*v(n) - 36*g(n). Give m(x(j)).\nAnswer: -12*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 44415*a**2*l**2 + 39*a**2*l - 8190*a*l - 26*l**2 wrt l.\nAnswer: 88830*a**2 - 52","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 1662698 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -1.3 - 2.2. Let f = 0.5 + p. Sort 0.2, f, -1.\nAnswer: f, -1, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*b - 4*g + 74, 2*g - 3*g + 176 = -5*b. Let w be (-12)\/(-15) - 42\/b. Solve -4*c - w*r + 8 = 2*r, 4*r = -3*c + 10 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 70324 or 70591?\nAnswer: 70591","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 1160 and 797856?\nAnswer: 115689120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 134 + -191. Let g be (d\/9)\/((-4)\/(-24)). Let r = g - -64. Is 6 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 14\/5 + 22\/(-11). Factor 0*q**2 - 2\/5 + 2\/5*q**4 - p*q + 4\/5*q**3.\nAnswer: 2*(q - 1)*(q + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (((-6)\/5)\/(-3))\/(2\/10). Solve q*x + 2*x = -16 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*p + 6*p - 44. Is p a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 24142 - 24121. Calculate the remainder when 1 + -1 - (-99 + -2) is divided by w.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 0.2 + 0.3. Let t be 1 - (1 + 2 + 0). Which is the closest to 1?  (a) 2\/23  (b) z  (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -28 - 15 + 3*m**2 - 33 + 5*m**2 + 0*m**2.\nAnswer: 8*m**2 - 76","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (5\/2)\/((-130)\/(-104))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {x: 4, m: 2, w: 7, l: 2, t: 4, a: 1}. What is prob of picking 1 x and 1 a?\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0002873802 to five dps.\nAnswer: 0.00029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -28.2 - -38.6. Let i = 9.4 - d. What is the second smallest value in 0.2, -1\/69, i?\nAnswer: -1\/69","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -c23 - -24263?\nAnswer: 23340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence qtf when three letters picked without replacement from cnaffataacacaqcc?\nAnswer: 1\/1680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -65, 42, 149, 256, 363, 470?\nAnswer: 577","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -696, -1026, -1356?\n\"Answer: -330*p - 366","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 120 minutes after 3:32 AM?\nAnswer: 5:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let p(s) = 7*s. Let t(k) = 43*k. What is p(t(w))?\nAnswer: 301*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 1662378 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 398 - 152. What is the units digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:01 AM and 11:07 AM?\nAnswer: 126","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -15*z**4 + 48*z**2 + 47*z**3 + 27*z - 19*z**2 - 6*z - 2 - 80*z**2 = 0 for z.\nAnswer: 2\/15, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 953 - 604. Suppose 481 + j = 2*c. Suppose l + c = 6*l. Does 21 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-5)\/(2 + 2\/(-2)). Let f be ((-24)\/16)\/(4 + -1). Which is the smallest value?  (a) h  (b) -2  (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 79*u + 283*u - 10985976. Is u a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, 134601, 5, -5, 2, 0, 4 in increasing order.\nAnswer: -5, -4, 0, 2, 4, 5, 134601","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let a(n) = n**3 - 5*n**2 - 2*n - 7. Let u be (1 - -2)\/((-1)\/(-2)). Calculate the remainder when 46 is divided by a(u).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y**(-1)*y*y**(-6))**(-44) assuming y is positive.\nAnswer: y**264","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 389\/40 + -13\/5. Calculate the common denominator of -50\/9 and p.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: -5 - 665\nAnswer: -670","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Convert -114010234 (base 5) to base 11.\nAnswer: -333726","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-19)\/1140*6 + 3\/5.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -50 + 43. Let p = -6 - -11. Put -1\/5, q, p in ascending order.\nAnswer: q, -1\/5, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 2 - 16 - 2*j**3 + 9 + 58*j**2 - 18*j + 16*j in the form c*j**3 + g*j + a + t*j**2 and give a.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2\/5, 5, 0.3, -0.484 in decreasing order.\nAnswer: 5, 2\/5, 0.3, -0.484","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Put together 8310955.7 and -1.78.\nAnswer: 8310953.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let m(w) be the first derivative of -2*w**2 + 3*w - 2. Let t(p) = -2*p + 2. Suppose 3 = -5*k - 12. Give k*m(j) + 5*t(j).\nAnswer: 2*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 274327 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: ((-1015)\/42)\/(-29)*-12\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -166*y = -162*y - 5*b - 10, -4 = 2*y + 2*b. Solve -155*a + 176*a = y for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1141?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (2\/21 - 0)\/(30\/(-70)). Let g = 7 - 2. What is the nearest to j in -1\/5, g, -1?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 13296 is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 4.42 + -4.32. Let c be (-6)\/(-10) + (-3)\/15. What is the closest to a in -3\/4, 0, c?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -4740 - -3098. Is (r\/(-6))\/(-3 - (-92)\/30) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -687048366 divided by -3?\nAnswer: 229016122","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 3520302800 rounded to the nearest one million?\nAnswer: 3520000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Express -4*c + 0*c - c + (2*c + 3*c - 4*c)*(-3 + 0 + 2) - 3*c - 6*c + 3*c in the form a + i*c and give i.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -1842, -3688, -5538, -7392, -9250?\nAnswer: -11112","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 13 is divided by ((-22)\/33 - 1\/(-6))*-22.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(h) = -4*h**2 + 275*h - 1898. Give n(61).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -2816, -2806, -2796, -2786?\n\"Answer: 10*b - 2826","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 15 a factor of 8643?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 121093313.\nAnswer: 11, 11008483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0044537 to 5 decimal places.\nAnswer: 0.00445","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 9345898699 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 5106988903.\nAnswer: 7559, 675617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: (((-105)\/((-1295)\/(-37)))\/(15\/16))\/2\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -8*p + 0*t = -3*t + 47 - 412 - 166, 5*t + 269 = 4*p for p.\nAnswer: 66","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the billions digit of 1597693239?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*n**2 - 2*n**2 - n**2)*(3*n**2 - 3*n**2 - 3*n**2) + 42*n**3 + 2*n**4 + 3 - 42*n**3 + 4*n.\nAnswer: 5*n**4 + 4*n + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -6 + (3 - 0) - -12 - (1 + 0)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -116*s**2 - 1 + 0 + 114*s**2 + 1.\nAnswer: -2*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let f be -3 + 1*(8 - 1). Suppose f*m = 12 - 0. Solve -m*i + 2 = -4 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 73577 - 240\/(10 + 5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 5*l + 7 - 17 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let w(q) = -q**2 + 12*q + 2. Give w(11).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let f(l) = 2*l. Let i(s) = -26116*s**2. Calculate f(i(p)).\nAnswer: -52232*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 12 + -9. Let b(h) = 1 + 1 - 4 + d. Let l(w) = 2*w + 5. Give -4*b(u) + l(u).\nAnswer: 2*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 4073 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 11 a factor of 1620115531?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 70*m - 81 = 59 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Factor l**4\/3 + 3*l**3 - 11*l**2\/3 - 3*l + 10\/3.\nAnswer: (l - 1)**2*(l + 1)*(l + 10)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from fmmcfmccmcmmfcmmccff. What is prob of picking 1 f and 2 m?\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*c - 6*i = 27, 22*i = 26*i + 12 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 4.985727ug in milligrams?\nAnswer: 0.004985727","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*x = -26 + 86. Suppose -4*s - x = -236. Is s a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -20 - -21. Suppose m + 6 = t - 3*f, -4*f = -3*t + 36. Solve h - 3 + 2 = -2*r, -3*r - 5*h - t = 0 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 19 + -28. Let m = -273 + 274. What is the closest to 0 in n, m, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 632512?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -10*o + 49387 = 11*o + 49870 for o.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*c - 5*q + 7, -3*c + 38 = 820*q - 816*q. Let k(r) = r**3 - 6*r**2 - 5*r + 20. Calculate k(c).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.03548102 rounded to three dps?\nAnswer: -0.035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 2 - -1. Suppose -2*i - 1 + 23 = 2*g, -4*g - 3*i + 39 = 0. What is the highest common factor of g and l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -39*m + 37 + 80 = 0. Suppose 5*j = 0, m*j = -3*u + 1871 - 329. Is u a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 87 + -154. Let r = -71 - z. Let p be 46 - (-2 - (r - -1)). What is the greatest common factor of 9 and p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 26950 = 31*f - 38*f. Round f to the nearest one hundred.\nAnswer: -3900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-1 - (-12 - -1)) + -38 + (101 - 52).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand -4*t + 4*t - 3*t**4 + (1 + t**2 - 1)*(-t**2 - t**2 + 0*t**2).\nAnswer: -5*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let q(g) = 2*g**2 + 8*g + 16. Calculate q(-5).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1940*w + 2200*w**2 - 1940*w - 4.\nAnswer: 2200*w**2 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -14 - -14. Let t be ((-20)\/8)\/(2\/(-28)). Suppose -4*q - q + t = s. Is 3 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2607403 to the power of 1\/2, to the nearest integer?\nAnswer: 1615","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 3 <= 195?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -0.5 - -1. Suppose -4*x = -9*x + 15. Sort -0.5, x, i in decreasing order.\nAnswer: x, i, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 27805656 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let t(h) = -h + 2. Let g be t(1). Suppose -u + g = -120. Let c be (-1)\/(138\/(-66) - -2). Calculate the highest common divisor of u and c.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 7 and 7.\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let q(o) = 1785*o + 187. Let n = 4787 - 4974. Let h(t) = 38*t + 4. Determine n*h(v) + 4*q(v).\nAnswer: 34*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let c**2\/5 + 1719*c\/5 + 109098\/5 = 0. Calculate c.\nAnswer: -1653, -66","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 91*x**3 + 2*x**2 + 4*x + 1 wrt x?\nAnswer: 546*x + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let i(m) = 2*m**2 + 5*m + 386. Let y(b) = -1. Determine -i(n) - 6*y(n).\nAnswer: -2*n**2 - 5*n - 380","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: 7 + (-5 + 5 - (11 - 3))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 238430 rounded to the nearest one hundred thousand?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 235369.\nAnswer: 235369","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let f(d) = -2*d. Let y(j) = j**2 - 3. Let b(o) = 181*o**2 - 168. Let p(l) = b(l) + y(l). Let q(g) be the first derivative of p(g). Give f(q(x)).\nAnswer: -728*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -107240 divided by -730.\nAnswer: 10724\/73","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -42*c - 24*c = 9*c + 1500 for c.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 19\/140 + 3\/20. What is the fourth biggest value in 0.3, c, 5, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 11 - 8*u + 6 - 6 wrt u.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -14967*k*x**2 - 2*x**2 + 14850*x with respect to k.\nAnswer: -14967*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is (746\/4)\/((-26)\/(-52)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(c) = -5*c**2 - 2*c**2 - 4*c**2 + c**2 + 14*c**2. Let i(m) = 186*m**2. Determine i(g(y)).\nAnswer: 2976*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -418, -810, -1204, -1600, -1998, -2398?\nAnswer: -2800","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of ((-30)\/4)\/(20\/25) and 137\/70?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -84\/317 in 7.4, 4, -7?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 35*t = 45*t - 29110. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -212324, -424645, -636968, -849293?\n\"Answer: -n**2 - 212318*n - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*r + 5*l = 5*r - 8, -4*r = 5*l - 132. Let w = r - 29. Let j = w - -19. Solve 0 = -3*b - 3*x - 18, -b + 2*x - j = 7*x for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(n) be the second derivative of 573*n**5\/10 + 2887*n**2 - 256*n - 4. Differentiate l(h) wrt h.\nAnswer: 3438*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2962834005.\nAnswer: 3, 5, 239, 826453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Express 30*z**2 + 1 + 4 - 7 in the form u*z + f + a*z**2 and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*w**2 - 4704*w - 650240.\nAnswer: -4*(w + 160)*(w + 1016)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(512) - ((sqrt(8) + sqrt(24)\/sqrt(3))**2*-3 + sqrt(8)))*-6.\nAnswer: -576 - 84*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let d(l) = l**2. Let s(y) = -y**2 + 1. Let v = -18 - -17. Let g(i) = -6. Let h(n) = v*g(n) - 6*s(n). Calculate d(h(p)).\nAnswer: 36*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (1 - 7)\/(4\/(-38)). Suppose 0 = -w - 2*a + 54, -5*a - f = -w + 18. Let s be 11 + (18 + -16)*10\/(-4). What is the highest common divisor of s and w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(d) = 23*d**3 + d**2 - 1. Let i be c(1). Let k = 283 - 289. Let j be (-2)\/(8\/(-20)) - (k + -81). Calculate the greatest common factor of i and j.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 12*b**4 + 12273*b**3 + 1105719*b**2 + 819327*b - 274131 = 0. Calculate b.\nAnswer: -923, -99, -1, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 6 - 1050*k + 21 - 1 - 26.\nAnswer: -1050*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 35 = -1789*o + 1796*o. What is the nearest to 0.2 in o, 0.1, 4\/7, 4\/9?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let i(q) = -q**3 - 21*q**2 - 1084*q - 24318. Give i(-22).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0000018451417 rounded to seven decimal places?\nAnswer: 0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 151415 is divided by 11645?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4*(1\/10)\/(140\/(-50)).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose b = 0, 3*b = 5*g - b. Let v be (1 - g - 1)\/2. Is -2 + v + (-13)\/(-1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 10*h**3 - 37*h**3 + 9*h**3 + (-65*h**2 + 2508 - 2508)*(-h + 2*h + 0*h).\nAnswer: -83*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-7)\/(28\/8) - -6. Suppose -l = 4*p, p + 4*p = -5*i + 40. Calculate the remainder when i is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 5\/3*(-6)\/(-2). Let c = -3 + t. Suppose 0 = -2*x - 3*o + o - 6, -3*o - 10 = c*x. Solve 2*g - 3 = -x for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1394670 is divided by 154934?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -58055, -58030, -58005, -57980, -57955, -57930?\n\"Answer: 25*r - 58080","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1183 + -1229 - (-1 - 35)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2 + sqrt(5) + -2 + (sqrt(15)\/(sqrt(3)*2))**2 - sqrt(140)\/sqrt(112).\nAnswer: -11\/4 + sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -48 - -87. What is the tens digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4.581732ml in litres?\nAnswer: 0.004581732","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:36 PM and 10:18 PM?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(5) + (sqrt(5) + 2 - sqrt(5)))*-1 - (0 + 2 + sqrt(5) - sqrt(5)).\nAnswer: -4 - sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let u(z) = 5*z + 1. Let b(r) be the second derivative of -r**4\/12 - 66*r. Determine u(b(w)).\nAnswer: -5*w**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*h - 22 - 7 + 2*h - h.\nAnswer: -h - 29","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 612 is divided by 20.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: -8 + -3 + (11 - (-12 + (-12 - -36)))\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z(c) = -c**2. Let j(q) = 67*q - 30*q - 13*q. Calculate z(j(b)).\nAnswer: -576*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 240*w**3 - 247*w**2 - 3*w.\nAnswer: 1440","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*p - 5*p - 4, 3*p + 1 = 5*j. Let t(k) = -448*k**3 + k**2 - 2. What are the prime factors of t(j)?\nAnswer: 3, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -1.5 - -1. Let i = q - 0.5. Which is the nearest to i?  (a) 3  (b) -0.2  (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*v + 8 = -2*i, 0 = 3*i + 5*v + 26 - 4. Calculate the remainder when 5 is divided by 1\/(i - (-4)\/(-8)).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -1393, -3232, -5053, -6844, -8593?\n\"Answer: 2*y**3 - 3*y**2 - 1844*y + 452","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (((-24)\/408)\/((-44)\/34))\/(5\/2)?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 1 + -4?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 0 - -2. Let g be (1\/t + -2)*-2. Solve -u = g*u - 8 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add together 0.3277 and 24.\nAnswer: 24.3277","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.07417 minus -23.8?\nAnswer: 23.72583","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 2507 - 25123\/10. What is the common denominator of y and -121\/4256?\nAnswer: 21280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -3 + 10*o**2 + 5*o - 2*o**2 + 3 wrt o.\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find w such that -3*w**5\/4 + 20589*w**4\/4 + 61851*w**3 + 165000*w**2 = 0.\nAnswer: -8, -4, 0, 6875","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let u(o) = -5*o - 163. Calculate the remainder when u(-39) is divided by 12.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 120*o = 124*o - 2*c - c - 6, -3*o - 832*c - 5001 = 0 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -2\/19  (b) 126  (c) -0.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let r(a) be the second derivative of 77 + 0*a**2 + 1\/10*a**6 + 0*a**3 + 1\/20*a**5 + 2*a + 25\/12*a**4. What is the third derivative of r(z) wrt z?\nAnswer: 72*z + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4 divided by 168808.\nAnswer: 1\/42202","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2069 is divided by 85.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from nnccnxcnnvnncnnc. Give prob of picking 3 c and 1 n.\nAnswer: 9\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -6*j**2*n**2 + 8*j**2*n + 180*j*n**2 + 96*n**2 + 188 wrt j?\nAnswer: -12*j*n**2 + 16*j*n + 180*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -1  (b) 0.3  (c) -13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -89*h + 97*h - 368. Calculate the greatest common factor of h and 598.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -g = -9 + 12. Let k be ((-9)\/(-6))\/(g\/(-6)). Solve 3*o + 0 = k for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 40161006 (base 8) in base 2?\nAnswer: 100000001110001000000110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*v + 3*x + 36 = 4*x, 2*v - 3*x = -4. Let g(i) = -i**3 - 9*i**2 - 7*i + 8. What is g(v)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 396147?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {f: 1, b: 2, s: 2, h: 1, n: 2}. Give prob of picking 2 n.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 570 minutes before 2:18 AM?\nAnswer: 4:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let m(d) = -d**2 + 7*d + 62. Let z be m(-5). Suppose -3*l + 0*l = z*q - 281, 4*q - 380 = -4*l. Calculate the highest common factor of l and 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(i) = 2*i**2. Let q(j) = -j + 152. What is q(p(y))?\nAnswer: -2*y**2 + 152","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 23 - 21. Solve 0*x - 6 = t*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 11348, 11374, 11400?\nAnswer: 11426","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is (1\/4)\/1*(0\/54)\/(-42)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t(a) = 3*a**2 - 2*a - 4. Let g be t(3). Suppose 25 = 4*o - 111. What is the greatest common divisor of g and o?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -11064, -22129, -33194, -44259?\n\"Answer: -11065*a + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence lll when three letters picked without replacement from {l: 10}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 378 - 530. Let q = 149.18 + s. What is q rounded to the nearest integer?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1174153 a multiple of 43?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 146382 is divided by 9758?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Round 7811200 to the nearest one hundred thousand.\nAnswer: 7800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 28 + -27.4. What is the closest to 0 in 5\/4, o, -5?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -3*m + 0*m + 0*m**3 + 8*m**3 - 9*m**3 wrt m?\nAnswer: -6*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0236221116 rounded to four decimal places?\nAnswer: -0.0236","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*s - 3*f + 50 = 0, -56 = -5*s + 2*f - 5 for s.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {k: 1, c: 3, x: 8, u: 1, v: 2, g: 3}. What is prob of picking 1 g and 1 k?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: (1 - -6 - (6 - 2)) + -2\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many nanometers are there in 1\/4 of a micrometer?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 1022 + 12?\nAnswer: 1111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 o, 1 r, and 2 b when four letters picked without replacement from wbgbgroh.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*t + t - 5*b = -12, 0 = -5*t + 5*b + 15. Suppose -15 = -2*i - t*i. What is the units digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -269034 divided by 1.\nAnswer: -269034","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 334*u**5 + 24718*u**4 + 139426*u**3 + 205242*u**2 + 1224*u = 0 for u.\nAnswer: -68, -3, -1\/167, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let x be -3 + 2 + (-1)\/(14\/(-16)). Let v be (-22)\/187 + (-4 - 8\/714*-393). Factor x*t + v*t**2 + 0 + 1\/7*t**3.\nAnswer: t*(t + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 488234335 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1423 is divided by 75.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 3 and -29?\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: (-105)\/140 - (354\/8 - (-4 + (-96)\/(-12)))\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 l, 2 c, and 1 r when four letters picked without replacement from crvucuvcuulucrcccru.\nAnswer: 21\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 485, 949, 1389, 1805, 2197?\nAnswer: 2565","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 36928?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1180 = 6*u - 650. Suppose -3*f = 2*f - u. Is 15 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 589 - 587. Which is the nearest to -0.3?  (a) -6  (b) x  (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.65 - 91498269.4739.\nAnswer: -91498268.8239","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 290038678 is divided by 3615?\nAnswer: 3613","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -2 - -3320?\nAnswer: 3312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3*h - 2*h + 43 - h + 3*h.\nAnswer: -3*h + 43","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let i(l) be the first derivative of -101*l**6\/6 - 62*l**3\/3 - 86. What is the third derivative of i(x) wrt x?\nAnswer: -6060*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -703.3 to the nearest one thousand.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 64*n - 195425 = 39*n. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the billions digit of 1036834267?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 343 - 194. Let g = -155 + q. What is the fourth smallest value in -5, 0.2, -0.5, g?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -70 + 66. Let r = -113\/4 + 28. Which is the nearest to r?  (a) -0.1  (b) u  (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 936138 a multiple of 651?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: 449*0.093\nAnswer: 41.757","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -j + 17 = 5*d, -d = 134*j - 133*j - 1. Let f(w) = -w**2 + 6*w + 13. What is f(j)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(h) = -3*h - 1. Let c be z(-2). Suppose -2*m + 8 = -2*a, -m - 4 = c*a + 2*m. Let v be (3\/a)\/(27\/(-4)). What is the third smallest value in 3, v, 0.1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 723, 5657, 19017, 45015, 87863, 151773, 240957?\n\"Answer: 702*z**3 + z**2 + 17*z + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"}
{"text":"Question: Is 7464823 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*i + 3*x + 10 = 0, -8 = -4*i - 2*x + 3*x. Solve 0*f - 2*f + i = 0 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(b) = -b**2 - b + 18. Suppose -2*w - 12 = 3*w - 4*a, a = -2*w + 3. What is n(w)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -58 + 58.066. Let a = -5.034 - y. Let u = 5.100048 + a. Round u to five decimal places.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose l + 157472 - 829338 = -3*u, u - l - 223954 = 0. Suppose -717955 = -2*q - u. What is q rounded to the nearest ten thousand?\nAnswer: 250000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (3 - 4)\/(1\/3). Let t be 2\/h + (-24)\/(-27). Let g = -0.01 + 2.01. What is the biggest value in t, 0.3, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -7 + -10 + -2 + (-24 - 13)?\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 49 less than or equal to 43511\/907?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let g(p) = 5*p - 4. Let w(l) = -l + 1. Let f(s) = 2*g(s) + 9*w(s). Let k(o) = -4*o - 10. Let v(z) = 3*f(z) + k(z). Give v(-8).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: (36\/(-48))\/(9\/(-24))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -460368 divided by -57546.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -85011*n**6 - 57*n**3 + 13436385*n**2 wrt n.\nAnswer: -10201320*n**3 - 342","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -40 + 41. Let q(f) = f - 1. Let k(o) = -7*o + 1. Determine l*k(u) + 5*q(u).\nAnswer: -2*u - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 40 = 9*g - 5*g. Factor -8*l**3 - 4*l**4 - 6*l**3 + 4*l**5 + 68*l**2 - g*l**3 - 44*l - 12*l**2 + 12.\nAnswer: 4*(l - 1)**4*(l + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(u) = -u**2 - 4*u + 52. Let j be m(0). Let y = -46 + j. Let r be (((-160)\/y)\/(-8))\/((-2)\/3). Which is the closest to 0.2?  (a) 4  (b) r  (c) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -2\/11, -5, 2, -0.5, -2748, 33 in decreasing order.\nAnswer: 33, 2, -2\/11, -0.5, -5, -2748","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -9 - 3. Let w = 11 + q. Let k = 2 - 5. Which is the closest to w?  (a) 0  (b) k  (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 622.5204 nanometers in kilometers?\nAnswer: 0.0000000006225204","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k(s) = s - 6. Let l be k(8). Suppose -6 = -l*i - 0*i. Solve -i*g = u + 3*u - 15, -2*g = -2*u - 10 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -174171*n + 174171*n - 38*n**2.\nAnswer: -38*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*b - 34 = -5*p, 5338*p - 5*b = 5334*p + 61 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-1)\/1*12 - (-6 - 19).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -21870, -21849, -21812, -21759?\n\"Answer: 8*y**2 - 3*y - 21875","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*g + 4*i + 28 = 102, i = -4*g + 77. What is the remainder when 35 is divided by g?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 10 + -7. Suppose 0 = k + 4*k + 5, 5*y + 2*k = 23. What is the derivative of -w + y*o**4 - 4 + 4 wrt o?\nAnswer: 20*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify a**28\/(a\/a**(1\/17))*a**(-1\/27)*a**(3\/8) assuming a is positive.\nAnswer: a**(100601\/3672)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -4 in 0.4, -3, -2, -19?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*z = 15*v - 93, -53*v + 49*v = 44*z - 47*z - 84 for z.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Work out -102997 * 15.\nAnswer: -1544955","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.9969664 years in months?\nAnswer: 11.9635968","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Work out -1220 - 55959.\nAnswer: -57179","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -w = 3*w - 16. Let u(v) = 173*v**2 - 2 - 4 + w - 2*v. Is u(-3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 4 + -3. Let x be ((-6)\/f)\/1*1. Let v = x + 10. List the prime factors of v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2446 (base 7) in base 2?\nAnswer: -1110010100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*g**2 - 146*g = 0. Calculate g.\nAnswer: 0, 73","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose r + 96*x = 95*x + 326, 4*x = 24. Is 10 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Do 302 and 601\/2 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -1\/900 and -173\/44185050.\nAnswer: 88370100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand 3*x**5 + 2*x**2 - 2*x**2 + (-5*x - 8*x + 3*x)*(0*x**2 + 2*x**3 - x**3 - 10*x**2)*(2*x + 2*x - 2*x).\nAnswer: -17*x**5 + 200*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let r(y) = -8*y**2 + 22*y - 41. Give r(2).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -46 in -12, 4, -5, -0.1, 11?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*w + y = 5, -3*y + 885 = w + 912. Let z(b) = 2*b**2 + 17*b + 3. Calculate z(w).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from jlkkbkjkxkxxkjkj. Give prob of sequence lxj.\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: (-10)\/12*3 + (-275)\/(-22)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(d) = d**2 - d + 2. Let y be v(2). Let f(l) be the third derivative of l**5\/60 - l**4\/24 + l**2 + 3202*l + 3. What is f(y)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(o) = -2*o + 431. Let u(x) = -3*x**2 + 119*x + 90. What is s(u(i))?\nAnswer: 6*i**2 - 238*i + 251","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 6\/5  (b) 0.5  (c) -440  (d) -0.22\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: 11 - 6 - (9 - (7 + -3))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/5 of a minute in seconds?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-42952)\/(-2380) + -18)\/(-1 - (-3)\/5)?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(c) = -c**2 + 2681*c. Let n(j) = 5*j**2. Give r(n(g)).\nAnswer: -25*g**4 + 13405*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let b(u) = -4*u + 12. Let s be (27\/15)\/((-3)\/(-15)) - 2*2. Let v(m) = -2*m + 6. Determine s*v(y) - 2*b(y).\nAnswer: -2*y + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -17\/20 and (-287)\/(-105)*(-5)\/((-30)\/(-9)).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 80549745 is divided by 10528?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((l**(-2\/7)\/l)\/(l*l**(3\/5)))**(-26\/9) assuming l is positive.\nAnswer: l**(2626\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -58080 divided by 726.\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*z - 2*a - 10 = a, 4*z = -a + 2. Suppose 3*x = 4*x. Is 0 + -13*(x - z) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -67\/24 and -11\/45.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let z(k) = -k + 16. Give z(9).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 19 minutes after 9:37 PM?\nAnswer: 9:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -3001313 - 1333231?\nAnswer: -11001210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Determine a, given that -a**2\/3 - 29256506*a\/3 - 213985785832009\/3 = 0.\nAnswer: -14628253","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 11860 is divided by 5883?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -76*o - s + 8 = -75*o, 0 = -s + 8. Sort 0.03, 1, o, 5, 0.007 in increasing order.\nAnswer: o, 0.007, 0.03, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.2426164145584 less than 2?\nAnswer: 1.7573835854416","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.001453693 rounded to 2 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:46 AM and 10:20 AM?\nAnswer: 274","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -5 + 2. Let r(n) = -n**3 - n - 3. What is the tens digit of r(m)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 209 greater than or equal to 208?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand 10*g - 10*g**3 - 12*g + 0*g + g**2 - 1 + 1 + g**3 + g + 2*g**3 - g + (-2*g**3 - 2*g + 2*g)*(0 - 5 + 3).\nAnswer: -3*g**3 + g**2 - 2*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let v(d) = 883*d**2 + 14*d + 48 - 2621*d**2 + 868*d**2 + 871*d**2. Calculate v(-4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 4708?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -20510 + 151032?\nAnswer: 130122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let i(f) = -22601*f**2 - 679*f - 679. Let r(y) = -100*y**2 - 3*y - 3. Give 3*i(p) - 679*r(p).\nAnswer: 97*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1419395?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -679*p*y + 19596745*p - 7274*y wrt y?\nAnswer: -679*p - 7274","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*a + 5*v = 15 + 21, -5*a + 28 = 2*v. Solve 2*n - d = -a*d - 1, 5*n + 3*d = -16 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 783 or 792?\nAnswer: 783","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -7*r - 4*r + 6*r.\nAnswer: -5*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*n = 4*v - 32, 0 = -n + 2*v + v - 8. Suppose -n*y = -25 - 71. Let i = y + 4. What is the units digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 5 + 43. What is the remainder when 287 is divided by b?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 520133 + 770?\nAnswer: 521013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -2*b*m*t - 919*b*m + 53*b*t - m**3 + 11*m - 82*t wrt m?\nAnswer: -2*b*t - 919*b - 3*m**2 + 11","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1467251?\nAnswer: 503, 2917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}