{"text":"Question: Factor 0 - 2\/3*h**4 + 0*h - 1\/3*h**3 + 2\/3*h**2 + 1\/3*h**5.\nAnswer: h**2*(h - 2)*(h - 1)*(h + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: 3a70 (base 14) to base 10\nAnswer: 10290","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put 17, -7, 776 in increasing order.\nAnswer: -7, 17, 776","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 452439\/638 bigger than 710?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 705?\nAnswer: 3, 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 31194 to the power of 1\/4, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -215 + 1937\/9. Let w(q) be the first derivative of 3 + 1\/12*q**4 + 0*q + 0*q**2 + b*q**3. Factor w(u).\nAnswer: u**2*(u + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -m + a + 524, -m = 3*a - 23 - 513. Is m a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find i, given that -5*i**5 - 20*i**4 + 35*i**3 + 50*i**2 = 0.\nAnswer: -5, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 187526?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let s(z) = 2*z**2 + 4*z + 1. Let w be -3 - (10\/4)\/((-95)\/(-76)). Calculate s(w).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (b**(-1\/2)*b)**(-3\/2)*(b\/(b\/(b**(1\/5)*b)))**(1\/18) assuming b is positive.\nAnswer: b**(-41\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -5 + 11. Let c be (4 - n)*1*-1. Let p(m) = -m**2 - 7*m - 7 + 0*m**2 + c*m**2 + 3*m. What is p(6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -26 = 5*w - 3*w. Let z be (45 - 48)\/((-2)\/(-2)). Is w less than or equal to z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: (51\/(-22) - (-6)\/(-33))*(-506)\/115\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -7 + 0 + (2 + -2 - -13) + -12?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -1 - -8. Suppose -521 = -u*l + 6*l. Let z = l - 254. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 110 divide 56564604?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 13 - 9. Suppose f*v - 3*s - 5 = 0, 4*v - 3*s = s. Are -3 and v equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(d) = -d**3 - d. Let a(z) = -z**2 - 5*z - 4. Let q be a(-3). Let b(o) = 38*o**3 + 34*o**2 - 12*o - 4. Let t(w) = q*f(w) - b(w). Find g such that t(g) = 0.\nAnswer: -1, -1\/4, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is fourty-three quarters of a litre in millilitres?\nAnswer: 10750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p(a) = -a**2 + 8*a - 3. Let z be p(7). Let s be ((-12)\/z)\/(33\/(-4)). Is s less than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -4 + 14. Suppose -5*m + 20 = 5*p, 3*m - 7*m - p = -y. Suppose -c - 3*z = -48, 0 = 4*c - m*z - 54 - 82. Does 9 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: 3\/(141\/6 - 4)\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 235 - 115. Let g = u - 119.9. Which is the second smallest value?  (a) g  (b) -23  (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(m) = m**2. Let b(v) be the first derivative of 2\/3*v**3 - 19*v**2 + 0*v + 26. Determine b(h(w)).\nAnswer: 2*w**4 - 38*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.2, -21, 49 in descending order.\nAnswer: 49, -0.2, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let h(t) = 60*t**2 + 82*t + 85. What are the prime factors of h(8)?\nAnswer: 3, 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 295 minutes before 5:10 AM?\nAnswer: 12:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4*-5*4*sqrt(162))\/(sqrt(6) + (sqrt(600) - sqrt(600)*-1) - (sqrt(150) + (sqrt(150) - sqrt(150)*1) - sqrt(150))).\nAnswer: -80*sqrt(3)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -19 = -o - 3*v + 5, -23 = -2*o - v. Let t(i) = 250*i - 19. Is t(o) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -29553, -29298, -29069, -28878, -28737, -28658, -28653?\n\"Answer: -2*c**3 - c**2 + 272*c - 29822","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -2743721, -2743354, -2742743, -2741888?\n\"Answer: 122*k**2 + k - 2743844","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (563908 + 0 + 1)*1. Let l = q + -197909. Suppose -l = h + h. Round h to the nearest ten thousand.\nAnswer: -180000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 2 - 50\/(0 + -2). Suppose -k = -2*g + 3. Solve n + g = -4*n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -50526, -101066, -151610, -202158, -252710, -303266, -353826?\nAnswer: -404390","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.16 in 1504, -1\/4, 0.2, 1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Round -1407.3 to the nearest 100.\nAnswer: -1400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 4, -0.3, -8, -0.4?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.0684?  (a) -0.1  (b) 0.4  (c) -5  (d) -3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -16 - -26 - (0 - -7).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1\/5 in -26, 13\/57, -5, -5\/2, 6?\nAnswer: 13\/57","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -103\/47850444 and -127\/39875370?\nAnswer: 239252220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1669?\nAnswer: 1669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 21*r = 53*r + 192 for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is (25 - 32) + 7 + 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 20b + 22bb?\nAnswer: 24c9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is -7948020 rounded to the nearest ten thousand?\nAnswer: -7950000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 15 + -10. Suppose j*f - 4 = -39. Let s(t) = -3*t - 5. Let b be s(f). Which is smaller: b or 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 162540?\nAnswer: 2, 3, 5, 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 366494.\nAnswer: 2, 183247","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-12)\/72 - 25\/(-6). Suppose -c - 1 = 5*y, 3*c - 5*y = j + 13. Solve 0 = c*o - 3*o + 3 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 120 = 31659*r - 31663*r + 5*h, 5*r + 3*h = 72 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 16739?\nAnswer: 19, 881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0*o**3 - 11*o**3 + 349 - 349.\nAnswer: -11*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h\/(h*h**(3\/17)))\/((h\/(h*h**(-5\/3)))\/h) assuming h is positive.\nAnswer: h**(-43\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let y(k) = -2*k**3 - 18*k**2 + 22. Let m be y(-9). Calculate the highest common divisor of m and 66.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*o**2 - 470*o + 27528.\nAnswer: 2*(o - 124)*(o - 111)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let p(w) = -839*w**3 + 4*w + 2. Let m(t) = 840*t**3 - 6*t - 3. Calculate -2*m(b) - 3*p(b).\nAnswer: 837*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1\/2 in -2\/5, 0.1, -0.2, 16, -612?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*o**5 - 44*o**2 - 33*o**4 + 410*o**3 - 82*o**4 - 546*o**2 + 197*o - 2 + 188*o - 93.\nAnswer: 5*(o - 19)*(o - 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -49 + -49d?\nAnswer: -4e6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 65*o - 54*o = -22 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(2057) + -2 + -3 - sqrt(2057) - sqrt(2057)) + -2 - ((sqrt(2057)*1 + -1)**2 + sqrt(2057) + (6*(sqrt(2057) + 1))**2 + sqrt(2057)).\nAnswer: -76153 - 803*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, 4, -4, 357.\nAnswer: -4, -3, 4, 357","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let l(m) = 14*m - 5. Let s be l(8). Let v = -26 + s. Suppose 0 = 4*j + k - v, j - 3*k - 2*k = 15. What is the units digit of j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*g + 3 = -h, -8 = 2*h + 2*g - 2 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -713 + 712.998335. What is h rounded to four decimal places?\nAnswer: -0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -40321 (base 8) to base 13.\nAnswer: -7725","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"}
{"text":"Question: Differentiate 5*n*r*s + 3*n*r + 27*n + 23*r*s with respect to s.\nAnswer: 5*n*r + 23*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((6*(sqrt(133) - (sqrt(133) - sqrt(133)*2)) + -1*sqrt(133)*-6)*5)\/(4*-3*sqrt(7)*5*4).\nAnswer: -3*sqrt(19)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify s**(-9\/7)\/(s*s*s\/(((s**(-4\/3)*s)\/s)\/s*s)*s*s)*(s\/(s\/s**9))**(5\/3) assuming s is positive.\nAnswer: s**(155\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 764?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 162295465?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from quykiqv. Give prob of sequence qqv.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 253074213*s**3 - 74812092*s wrt s.\nAnswer: 1518445278*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 m and 1 s when two letters picked without replacement from {s: 1, b: 1, g: 1, i: 2, w: 1, m: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let r(s) be the third derivative of -19*s**5\/60 - 5*s**4\/24 - 2*s**3\/3 + 8*s**2 - 2*s. What is the second derivative of r(c) wrt c?\nAnswer: -38","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 193053209 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 15\/(-20) + (-35)\/(-4). Suppose 2*w - l = -5*n, 3*w - n = w + 8. Solve 2 - w = z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*u - 8*u = -24. Let d(x) = x**2 - 8*x + 8. Let i be d(u). Let c = 15 - i. What is the units digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 22050520?\nAnswer: 2, 5, 37, 47, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let p(g) = g**3 - 17*g**2 + 16*g + 25. Calculate p(10).\nAnswer: -515","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 7677183.\nAnswer: 3, 17, 150533","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let c(y) = -2*y + 16. Let q be c(14). Let g be 6*-2*4\/q. Suppose g*l - 4 = 452. List the prime factors of l.\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sum -1010640 and 62.\nAnswer: -1010578","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -f = -9 - 1. Let r be (4 - 16564)*f\/(-8). What is r rounded to the nearest one thousand?\nAnswer: 21000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-5*z + 0*z + 2*z + (726 + 42*z - 726)*(1 + 2 - 1 + (4 - 3 - 2)*(-1 + 2 - 3)))*(6 + 4*z - 6) to the form y + p*z**2 + d*z and give p.\nAnswer: 660","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (-16189)\/(-4) - (1386\/72 - 20)?\nAnswer: 2, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 1636.111 - 1638. Round m to one dp.\nAnswer: -1.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(t) = 32*t**2 - 6 - 6 - 20*t - t**3 - 49*t**2. Is 7 a factor of a(-16)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 83 - 90 - 2*s**2 + 64*s**3 - 15*s**3.\nAnswer: 49*s**3 - 2*s**2 - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is -3 - (-9 + 2 + 21 + -28)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p(h) = 12*h**2 + 3*h. Let m(a) = 6*a**2 + 2*a. Let w = 6 - 3. Let v(d) = w*p(d) - 5*m(d). Find the second derivative of v(x) wrt x.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -60.6 + 134.96?\nAnswer: 74.36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.5777 and 2091.\nAnswer: 1207.9707","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(100) + (sqrt(100) - 1*sqrt(100)*2))\/(-4*sqrt(8)\/sqrt(2)))\/(2*sqrt(80)*-3*-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -0.2, 52\/43, 2, 18, 3, 9, 0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is -1.1 smaller than -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (2 + 0)*1*15\/10. What is the hundreds digit of 20*9 - (-16)\/(7 - t)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (1\/2)\/((-2)\/(-20)). Suppose i*o - 2*z = -z + 10, -z = -2*o + 4. Find the third derivative of o*k**6 + k**6 + k**2 + 2*k**2 wrt k.\nAnswer: 360*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(q) be the first derivative of 4 + 4*q**2 - 9*q**2 + 4*q**2 - 2*q**3 + 1. Factor f(d).\nAnswer: -2*d*(3*d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 133 + -143.8. Let i = -12 - p. Let f = -1.1927 - i. What is f rounded to three dps?\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: -12 (base 3) to base 11\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s(q) = -q**2 + q - 11. Let m(t) = -t**3 - 2*t**2 + 3*t - 3. Let u be m(-3). Let a be 2 - (8 + u - 3). Determine s(a).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {s: 1, h: 9, k: 4, x: 2}. What is prob of sequence xsk?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from mimirhnmmminhim. Give prob of sequence minm.\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 56296373 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is -1283 divided by 1815?\nAnswer: -1283\/1815","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -49*a - 132 + 5 = 412 for a.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 34509134?\nAnswer: 2, 11, 43, 36479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Sort -92, 18, 2, -4, -44, 5, -2.\nAnswer: -92, -44, -4, -2, 2, 5, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0 - 2*o + 7*o + 0.\nAnswer: 5*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: c (base 13) to base 7\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g(u) = u**3 - 11*u**2 - 2. Let x be g(5). What is the smallest common multiple of 4 and (-7)\/(315\/6) - x\/15?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(o) = -2*o - 7. Suppose 5*p - 20 = p. Let h(k) = -k**3 + 4*k**2 + 4*k - 6. Let j be h(p). List the prime factors of f(j).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -46*q - 55 = -220 - 65. Suppose -p + 15 = 2*p. Solve 5*m = 4*m + 5*i - 15, 0 = -q*m - p*i + 15 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 19\/(2128\/240)*(-3)\/(-15). Solve 3*v**3 - 9\/7*v + t*v**4 + 39\/7*v**2 - 54\/7 = 0.\nAnswer: -3, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 35*y + 103*y + 2*y**2 + y**2 - 5*y**2.\nAnswer: -2*y**2 + 138*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -20217 + -21564?\nAnswer: -42003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-1)\/(-2)*2\/(-1))\/(106\/636).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -74*v - 432 = -20*v for v.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Determine j, given that 4*j**2 + 712*j - 7520 = 0.\nAnswer: -188, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Divide 8 by 145.\nAnswer: 8\/145","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1.41 or -0.2?\nAnswer: -1.41","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 38\/297 and -34\/225?\nAnswer: 7425","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 347 is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 9399.827 + -9394. Let g = q - -0.013. What is g rounded to one decimal place?\nAnswer: 5.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (12\/(-15))\/((-2)\/100). Let i = y - 24. 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 -713000 rounded to the nearest 1000000?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 16\/((-4)\/2) + 0. Let j be o\/(-6) - 10\/(-15). Suppose 0 = -5*v + j*v + 84. Is v a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 718 is divided by 6*-1 - (-3472)\/48*(-5 - -8)?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 464?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is -265722 - 13108?\nAnswer: -278830","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 44052826?\nAnswer: 2, 22026413","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Convert 191.250558ns to days.\nAnswer: 0.000000000002213548125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 706 minutes before 8:11 AM?\nAnswer: 8:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) 2.1  (b) -3  (c) -2\/9  (d) -30  (e) 30  (f) 3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is -6 (base 16) in base 3?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 15 - -3. Suppose p*x - 36 = 21*x. Let z be (x\/10)\/(9\/(-240)). What is the greatest common divisor of 4 and z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: -41 - (-8 - 49) - (-7 + 54 + -2)\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -4 - ((-14 + (-1 - 19) - 11) + 13)\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*p**3 - 2*p**3 + 0*p**3 + (p + 2*p**2 - p)*(4 - 4*p - 4))*(p - 4*p + p).\nAnswer: 24*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Put 4, 0, -1.8339664, -0.3 in ascending order.\nAnswer: -1.8339664, -0.3, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 50759.\nAnswer: 193, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let i(x) = 5*x**2 + 2*x. Let m = -3 + 1. Let w be i(m). Let y = w + 1. What are the prime factors of y?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:49 AM and 4:07 PM?\nAnswer: 678","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 10*c = 12*c + 2 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let s(d) = d**3 + 5*d**2 + 2*d + 1. Let r be s(-2). Let v(x) = 8*x - 15. Let f be v(r). Let j = 183 - f. Is j a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: 14517 (base 8) to base 2\nAnswer: 1100101001111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: -3341.858 times 0.3\nAnswer: -1002.5574","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 533 - 1052 + 519 + 19320*m to z + c*m and give c.\nAnswer: 19320","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 72\/(-2)*(-4659)\/66. Let q = 2538 - c. What is the common denominator of q and -40\/7?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 18 = 8*o - 30. Suppose 3*t - m = 171, 0 = -5*t + m + 33 + 250. Calculate the remainder when t is divided by o*(-2)\/6 + 22.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: 58566 divided by -15\nAnswer: -19522\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -535, -3515, -11467, -26875, -52223, -89995, -142675, -212747?\n\"Answer: -414*t**3 - 2*t**2 - 76*t - 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1476330648?\nAnswer: 2, 3, 13, 863, 5483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is a - 6529?\nAnswer: -651e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let y(s) be the second derivative of -25*s**4\/6 + 7*s**3\/6 + s + 1. Find the second derivative of y(p) wrt p.\nAnswer: -100","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: (2 - 13) + 22 + (1 + 3 - -15)\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 1041 - 22?\nAnswer: 1017","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is -140334 at least as big as -982336\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand -54*s**5 + 2*s**4 - 53*s**5 - 23*s + 105*s**5 + (-77*s**3 + 10*s**5 + 77*s**3)*(-1 + 3 - 1).\nAnswer: 8*s**5 + 2*s**4 - 23*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let g(w) = -w**2 + 10*w - 8. Suppose 24*a + 3 = -21. Let x be (-14)\/(-77) + (a - (-344)\/44). Calculate g(x).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 131012002 (base 4) to base 9\nAnswer: 201421","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n(i) = -7528*i + 6623. Is n(-95) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -140213220 (base 5) in base 11?\nAnswer: -445840","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 53184?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*u - 2*u. Suppose -b + 11 + 1 = u. Solve m + 3 = 2*k + 2*m, m = 3*k - b for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 153 and 4896.\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let n(p) = -p**2 - 21*p - 51. Let m be n(-17). Solve 21 = -5*j - f + 2*f, m = -5*j + 2*f for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 8 - 4 - 6*f**3 + 10*f**3 + 2*f**6 - 5 + f**2 wrt f?\nAnswer: 240*f**3 + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 150, -463, -2512, -6717, -13798, -24475?\nAnswer: -39468","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*s - m - 30 + 1, -3*s - m = 19. Let a be 186\/(-30) + (-1)\/s. Is (-1 + 236)\/(a + 7) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(n) = -n**2 - 3*n - 2. Let r be u(-2). Suppose r = -2*b - 3 + 41. What are the prime factors of b?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 502 in -1279, 1\/3, -4?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let u(v) = 109*v - 84. Let x(t) = 310*t - 254. Calculate 17*u(m) - 6*x(m).\nAnswer: -7*m + 96","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, 24, -2, 11, -5 in decreasing order.\nAnswer: 24, 11, -2, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 + 3 + -5 + 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 13586826?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 2 + 0. Suppose -h*w - 13 = -1. Let p(u) = u**3 + 7*u**2 + 4*u + 7. What is the tens digit of p(w)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 24 - 10. Calculate the lowest common multiple of r and 22.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3*sqrt(1539)*-2)**2.\nAnswer: 55404","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 325*p**2*r**2*y + 2*p**2*r**2 + 2*p*r**2*y - 4*p*r**2 + 122*p*r wrt p.\nAnswer: 650*r**2*y + 4*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 543 minutes after 11:47 PM?\nAnswer: 8:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 987 + -973. Suppose -9*u + o*u - 25 = 0. Solve 2*w - 8 = u*j + 7, -5*w - j = 30 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -1076847, -1076844, -1076841, -1076838, -1076835?\nAnswer: -1076832","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (0 - 5)*((-168)\/20)\/7. Let y(g) be the second derivative of 0*g**2 - 1\/5*g**c + 2\/5*g**5 - 1\/6*g**4 + 0 + 0*g**3 - g. Let y(q) = 0. What is q?\nAnswer: 0, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(x) = 20*x - 297. Give a(15).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {s: 5, r: 6, p: 3, c: 1}. What is prob of sequence pcrs?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let k(b) = -606*b**2 - 4*b - 4. Let n(c) = 47272*c**2 + 311*c + 311. Determine -311*k(s) - 4*n(s).\nAnswer: -622*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 11149\/2 + -27931\/5. What is the common denominator of j and -71\/2016?\nAnswer: 10080","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 42\/(-10)*((-3)\/(-1) + -8). Does 18 divide (2*y\/(-24))\/((-6)\/72)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -0.4, -4, 0.26?\nAnswer: 0.26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let q(n) = -n**2 - 2*n + 3. Let d be q(-3). Let x be 9\/(-4)*(-6)\/9. Which is the closest to d?  (a) 4  (b) x  (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (5\/35)\/((-48)\/28).\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -1221 + 1244. Calculate the remainder when (-45 - -1)*(-15)\/10 is divided by d.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-2504 - -2459) + (-7 - (-3 - (-1 + 0)))\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Total of -0.117638 and -26956115.\nAnswer: -26956115.117638","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5*((3*sqrt(85) + sqrt(85))\/sqrt(5) + sqrt(17)))**2*-6.\nAnswer: -63750","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*w + 4*c = 15, -5*w + c = -12 - 3. What is b in 10*b**2 - 24*b - 8 - 3*b**w - 14*b**2 - 11*b**2 - 4 = 0?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (3 - 4 + 3)*((-4 - 3 + 6)*(-6 + 6 - 8*f) + (-4*f + 3*f + 3*f)*(3 + 1 + 1)) as z + u*f and give u.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let q(v) = -v**3 + v**2 - v - 1. Let u(r) = r**2 - r + 4. Let x(o) = -q(o) + u(o). Calculate x(0).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -161\/9 - -18. Suppose -41*q + 46*q + 2*v - 1 = 0, 4*q + v + 1 = 0. Sort q, c, -1\/7 in decreasing order.\nAnswer: c, -1\/7, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:05 PM and 2:57 AM?\nAnswer: 592","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -30 + 103. Suppose 65 + f = 2*n. Is 23 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 107*b - 1496188 + 328283 = 0. What is the ten thousands digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -5529595 rounded to the nearest 1000000?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ve when two letters picked without replacement from {p: 2, e: 1, i: 1, v: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: 9 (base 11) to base 7\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence vsl when three letters picked without replacement from llsllflllvxldf.\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let c(y) = -3*y. Let i be -4 - 0 - 54\/(-9). Let x(l) = -5*l**2 + l**2 + l**i - 4*l**2. Give c(x(z)).\nAnswer: 21*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, 541, 368.\nAnswer: 1, 368, 541","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 197 is divided by 27.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 37\/8 and -79\/32644488?\nAnswer: 32644488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 1682.748 litres in millilitres?\nAnswer: 1682748","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r(u) = u**3 - 8*u**2 - u + 10. Let m be r(8). Let c = m + 41. Let p = c + -21. Calculate the smallest common multiple of 8 and p.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(d) = -d**3 + 8*d**2 - 2*d - 58. Let s be r(6). Let f = -3 + 7. What is the third derivative of 2*v**2 + f*v**2 + 3*v**s - 5*v**3 + 10*v**3 wrt v?\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 4677128 to the nearest integer?\nAnswer: 167","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let w(o) = -o**3 - 20*o**2 + 36*o - 299. Calculate w(10).\nAnswer: -2939","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -10445238, -20890474, -31335710, -41780946, -52226182?\n\"Answer: -10445236*j - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r(c) = -c + 43. Suppose -p - 488 = -5*k + 3*p, 4*k = -5*p + 374. What is the remainder when k is divided by r(23)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-1 + 2)\/((-9)\/1233). What is q rounded to the nearest 10?\nAnswer: -140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -33*t**2 - 15*t**2 - 137*t**2.\nAnswer: -185*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {r: 7, y: 4}. Give prob of picking 2 y.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is -882710 - 0.566141945?\nAnswer: -882710.566141945","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 215 and 115111.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let o(x) = 8430*x. Let k(m) = -17*m + 20. Let d(t) = -7*t + 8. Let g(u) = -5*d(u) + 2*k(u). What is o(g(n))?\nAnswer: 8430*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -573*k + 332*k - 493*k - 98*k.\nAnswer: -832*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 955 a factor of 20455145?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let o(j) be the second derivative of 5*j**4\/12 - 23*j**3\/6 + 21*j**2\/2 + 3*j. Let l(y) be the first derivative of o(y). Differentiate l(b) with respect to b.\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 576 + -14?\nAnswer: 562","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 11305 or 10366?\nAnswer: 11305","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*k - 66 = -5*t, 63 = t + 4*t + 4*k. Suppose 0 = -5*y - 2*z + 2 + 13, 5*y - t = 4*z. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -68967 and 12?\nAnswer: 68979","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*f + 3*f + 3. Suppose 7*d - f*d = 0. Suppose d = y + y - 16. Solve 3*j - y*j = 0 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 (base 13) in base 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r(l) = 14*l**3 + 7*l**2 + 99*l + 13. Let x(q) = 3*q**3 + 1. Let j(d) = r(d) - 5*x(d). Let g be j(-7). Put -5, 3, g, 35 in descending order.\nAnswer: 35, 3, g, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(j) be the second derivative of -j**4\/24 - j**3\/2 - 16*j**2 - 39*j. Let o(x) be the first derivative of s(x). Calculate o(-8).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 120\/273 + 10\/(-65). What is the closest to 0.4 in 3, r, 3\/4?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -5857.5*-492.\nAnswer: 2881890","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is l in 2*l**5\/7 - 44*l**4\/7 - 2980*l**3\/7 + 1312*l**2 - 9262*l\/7 + 3100\/7 = 0?\nAnswer: -31, 1, 50","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 105 - 109.7. Let g = 4.6774 + y. What is g rounded to three decimal places?\nAnswer: -0.023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 20*i**3*k**2 - 39*i**3*k*p - 2*i**3*k + 2*i*k**2*p + i*p - k**2 wrt k.\nAnswer: 40*i**3 + 4*i*p - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Work out 6.23 - 45478.926.\nAnswer: -45472.696","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 58601 is divided by 35?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 37450000 rounded to the nearest one million?\nAnswer: 37000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -24*m = -26*m + 8 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 0, -11, -26, -45, -68, -95?\n\"Answer: -2*i**2 - 5*i + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1334207746?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*z - 9 = -v, -11 = -2*v - 4*z + 7. Solve v*r + 0 = 27 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 94 + -90.05. Let n = -0.05 - s. Put n, 4, -0.5 in decreasing order.\nAnswer: 4, -0.5, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*y = 4*n - n + 12, -n = 4 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-992)\/192 - (-5 + -1). Put 112, 1\/3, o in decreasing order.\nAnswer: 112, o, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.3 * -11.019022.\nAnswer: 3.3057066","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6 = n - 4*k + 29, 0 = -n + 2*k - 29. Let u = 143 + n. Suppose -2*i + 4*i = -u. Round i to the nearest 100.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 869381 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 12522 and 117552362?\nAnswer: 4174","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let k(f) = 65*f**3 + 10*f**2 - 500*f + 3036. Is k(6) a multiple of 99?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(y) = y**3 - 8*y**2 - 45*y - 37. Give z(12).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 6173404707.\nAnswer: 3, 2057801569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 8\/(-10) + 9\/5. Suppose -3*o + 5 = -c. Solve 3*i - 13 = o for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 275479 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:08 AM and 7:54 PM?\nAnswer: 646","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 2862180, 2862192, 2862204, 2862210, 2862204, 2862180, 2862132, 2862054?\nAnswer: 2861940","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-4)\/12)\/((28\/(-12))\/7).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Divide -1044 by -12.\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 8 a factor of 4586902?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(24) + 1*sqrt(864) + sqrt(24) + sqrt(2400)*1)\/(sqrt(1200) - -2*sqrt(1200) - ((-1*sqrt(108) - sqrt(108)) + sqrt(108)))*-2.\nAnswer: -12*sqrt(2)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 225371 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Convert -4 (base 8) to base 2.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -113003 - -221302?\nAnswer: 102233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*k + 35 = -7*z + 12*z, 0 = 3*z - 4*k - 56. Suppose -35 = -3*p + 55. What is the least common multiple of z and p?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-2*5\/6)\/(989\/(-5934))\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 89540?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 5.8 - -877391409.04?\nAnswer: 877391414.84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose v - 300 = -2*t, -4*v = -2*t - t + 461. Let o = 175 - t. Factor -o + 12*h - 3\/2*h**2.\nAnswer: -3*(h - 4)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express j**4 - 76*j - 63*j**2 + 7367 - 7369 + 109*j in the form k*j**2 + l*j + g*j**3 + u*j**4 + o and give k.\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Add -47232 and 29642817.\nAnswer: 29595585","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 1.4 + -2.4. Let w = 13 - 12.74. What is the second smallest value in w, l, 5?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence mmag when four letters picked without replacement from {m: 3, a: 5, d: 1, g: 3, n: 1}?\nAnswer: 3\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (0 + 2 - 2)\/(-1 - 1). Suppose 0 = -5*w - 5*k + 8 + 27, -w = 3*k - 5. Suppose -2 = -l - 0. Solve y*a - l*a = w for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(s) = -s**3 - 5*s**2 - 2*s - 10. Let k be p(-5). Calculate the remainder when ((-9)\/6 + k)\/((-3)\/92) is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -7 + (0 - -3) + 0 + 4 + 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 975 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let f(o) = o**2 + 2*o + 3. Let w be f(0). Let y(p) = -w*p - 6*p - 2*p. Let m(b) = -3*b**2. What is y(m(g))?\nAnswer: 33*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 5 - 0 - (-14 + (1 - -27))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -6*(-2 + (-2*sqrt(252))\/sqrt(9) + (sqrt(112) + sqrt(112) + (sqrt(112)*2 - sqrt(112)) - sqrt(112))\/sqrt(4) + sqrt(28) + -2)**2.\nAnswer: -264 + 96*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -1409095*o**3 - o**2 - o - 906087?\nAnswer: -8454570","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: How many meters are there in 6.807294nm?\nAnswer: 0.000000006807294","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-325)\/104)\/25 - 0*(20\/5 - 3).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -5516, -21955, -49334, -87647, -136888, -197051, -268130?\nAnswer: -350119","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {n: 10, g: 4}. Give prob of picking 2 g.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 355 minutes after 3:03 PM?\nAnswer: 8:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.909 and -16.85.\nAnswer: 15.31665","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 935861 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (6\/(-4))\/(3 - -3). Let l = -115 + 109. Which is the biggest value?  (a) r  (b) l  (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(m) = -14*m - 9. Determine s(-1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-2)\/8 + (-1)\/(-4). Suppose 0 = -l - o*l + 5. Suppose h = 4*d - l, -4*h - 19 = 3*d + 1. Which is the closest to 1\/2?  (a) d  (b) 0.5  (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -77391 divided by 9.\nAnswer: -8599","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 9*k*l**2*m**3 - k*m**3 + k*m + l**2*m**3 - l*m**3 - 2*m**3 with respect to l.\nAnswer: 18*k*l*m**3 + 2*l*m**3 - m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 11\/39060 and -167\/420.\nAnswer: 39060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is -10 divided by 4?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v**(2\/5)\/(v**(-4)\/v))\/(v\/(v\/v**1))**(-27) assuming v is positive.\nAnswer: v**(162\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 551 = 3*v + 4*l, 4*l = 2*v + 5*l - 369. What is the remainder when v is divided by 19?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose m = 2*v + 2*m - 302, -5*v = 4*m - 752. Let f = v - 151. Put f, 3, -0.04, 2\/9 in increasing order.\nAnswer: -0.04, 2\/9, f, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4\/66*(120\/10)\/4?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*w**5\/7 + 109*w**4\/7 + 306*w**3\/7 + 234*w**2\/7 + w\/7 - 39\/7 = 0 for w.\nAnswer: -1, 1\/3, 39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -495 - -498. Suppose 0 = -q*m + 5129 + 253. Does 78 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(l) = -4*l + 18. Let k be i(-31). Suppose 0 = w - k + 482. What is w rounded to the nearest 10?\nAnswer: -340","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(q) = -q**2 + 7*q + 11. Let v be g(8). Solve 15 = -v*l - 0 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*l + 227 - 207 = -3*n, -5*l - 15 = 4*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let v(g) be the first derivative of 1\/6*g**2 + 1\/9*g**3 + 2 + 0*g. Determine l so that v(l) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 49868 minus -11?\nAnswer: 49879","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*c = -4*c - 4. Let b be ((-5 + 2)*c)\/1. Solve 6*a = b*a - 9 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -59890 to the nearest 10000.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -7453*n + 6025?\nAnswer: -7453","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 4715\/12  (b) 0.2  (c) 10.9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let v(s) = -2*s - 2. Let w be (-15)\/10 - 18\/(-4). Let c = w + -6. Calculate v(c).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -59\/522102 and -103\/6.\nAnswer: 522102","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let s(b) = b**3 + 21*b**2 - 161*b + 30. What is s(-27)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -95 + 28*q + 40 - 58*q**2 + 55 to the form r*q**2 + j*q + x and give j.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -2305, -9021, -20161, -35695, -55593, -79825, -108361?\nAnswer: -141171","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1529 - 1559 = 6*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -402 - -402.3. Which is the closest to 1?  (a) 6\/11  (b) o  (c) -3  (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*t - 80 = -5*r, -3*r - 4*t + 34 = -22. Suppose 0 = -w + 4*w - r. Solve w*g = -5*x + 23, -3*g + 18 = 4*x - 0 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: (4\/7)\/((-17)\/((-136)\/(-32)))\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b(l) = 9*l + 69*l + 5*l. Let j(s) = -s**2. Calculate b(j(r)).\nAnswer: -83*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*m - 6*m = -12*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*v = 2 + 10. Let p be 1 + (-51)\/v*(-12)\/1. Let d = 100 - p. Is d at most as big as -15\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(c) be the third derivative of c**3 + 0 - 3*c**2 - 3\/8*c**4 + 1\/20*c**5 + 0*c. Factor x(o).\nAnswer: 3*(o - 2)*(o - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 144 minutes after 7:29 AM?\nAnswer: 9:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Put -7, 15, -3 in decreasing order.\nAnswer: 15, -3, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let h(a) = -494*a**2 - 3931*a + 6. What is h(-8)?\nAnswer: -162","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 510 and 103632?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let z(i) be the third derivative of 8\/945*i**7 + 0*i**3 + 0*i**5 - 1\/540*i**6 + 0*i - 2\/189*i**8 + 20*i**2 + 0 + 0*i**4. Factor z(s).\nAnswer: -2*s**3*(4*s - 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -10*f**2 + 12*f - 12*f + (-2*f + 1 - 1)*(0 - f + 0) + 2 + 4*f**2 - 2 + (-4*f + 3*f + 0*f)*(-3*f + 3*f - f) as k*f**2 + s + r*f and give k.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Round -45774919.5 to the nearest one hundred thousand.\nAnswer: -45800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -943 + 1365 = -422*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose d + 39 = -2*d. Let h(r) = -r - 10. What is the remainder when 10 is divided by h(d)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00000525 to seven decimal places.\nAnswer: -0.0000053","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*r + 4*r + 3 = -3*f, -19 = 3*r - f. Let k(d) = d**3 + 2*d**2 - d + 4. Let g be k(r). Round g to the nearest one hundred.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*t + 57 = -0*t. Let x(i) = i**3 - 18*i**2 - 19*i + 5. Let g be x(t). Let d(k) be the first derivative of k**2\/2 - k - 1. Calculate d(g).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -s + 800 - 800 - 224*s**3 - 106*s**3.\nAnswer: -330*s**3 - s","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"}
{"text":"Question: Let t(n) = -2*n**2 - 16*n - 3. Calculate t(-9).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 2 + 16. Suppose 4*w + 0*n = -2*n - 2, -w - 4*n = 18. Suppose 5 = -3*y - w*j + 211, -y + 76 = -3*j. What is the remainder when y is divided by p?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: 3604.3 - -0.046941706\nAnswer: 3604.346941706","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 13200*d*s**2 - d*s + 71014509*d - 7*s wrt s.\nAnswer: 26400*d*s - d - 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((x*x*x**(3\/2)*x**13)\/(x**(-4))**(-48))**46 assuming x is positive.\nAnswer: x**(-8073)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 1386 and 81058362?\nAnswer: 243175086","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is -1317\/2 != -658?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many meters are there in 7\/8 of a kilometer?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 53146 is divided by 6873.\nAnswer: 5035","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -36 - 9*k**3 + 48 - 12.\nAnswer: -9*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: 5393554 (base 11) to base 14\nAnswer: 1389c00","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -59*w**2 - 60*w**2 + 407*w**3 + 119*w**2 + 1186*w**3.\nAnswer: 1593*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (2\/(-12)*2)\/((-11)\/(-36 + 3)). Put -5, -4, 11, 1, w in descending order.\nAnswer: 11, 1, w, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -61 + 58. What is the fourth biggest value in -0.1, 12, 1\/6, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 0 - 0.035. Let a = 0.0859 + -0.3209. Let n = i - a. What is the fourth smallest value in -7, 2, n, 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -24702622 divided by 1300138.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -52796472 divided by -9788.\nAnswer: 5394","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 687, 678, 655, 612, 543, 442, 303, 120?\nAnswer: -113","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -9.5 - -10. What is the smallest value in n, -3\/4, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1103324 (base 8) to base 9.\nAnswer: 501842","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 3053 and 71?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let b(o) = -2*o**2 + 9*o. Let v(u) = 19*u**2 - 92*u. Determine -62*b(q) - 6*v(q).\nAnswer: 10*q**2 - 6*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let -2*t**3 + 5270*t**2 - 259750*t + 3231250 = 0. Calculate t.\nAnswer: 25, 2585","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -1 + 0.9. Let r = -3 + 3.2. Let x = -0.2 + r. Which is the third smallest value?  (a) 1  (b) x  (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1506*c = 1511*c - 10. Solve 29 = -c*f + 39 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -5\/4, 54\/7, -0.3, 0.5, 28\/17 in decreasing order.\nAnswer: 54\/7, 28\/17, 0.5, -0.3, -5\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Express -h - 19*h - h - 3*h as s*h + w and give s.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Convert 28861.872 months to millennia.\nAnswer: 2.405156","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 126736380?\nAnswer: 2, 3, 5, 29, 8093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 4, 0.4, 14, -52?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let b(j) = -2*j - 5. Let w(v) = 3*v + 9. Let g(f) = 9*b(f) + 5*w(f). Let y(x) be the third derivative of 0 + x**2 + 0*x + 0*x**3 - 1\/12*x**4. Calculate y(g(t)).\nAnswer: 6*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -13*n = -3*n - 10. Suppose z + n = 3. What is the third derivative of -y**3 + y**z - 141 + 14*y**3 + 141 wrt y?\nAnswer: 78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 6, 1, 2, -5, -3, -41 in descending order.\nAnswer: 6, 2, 1, -3, -5, -41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 643 minutes before 8:16 AM?\nAnswer: 9:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 925058 to the nearest integer?\nAnswer: 962","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let v(i) = -5*i - 2. Let g(x) = 12*x + 4. Let a(h) = -3*g(h) - 7*v(h). Determine a(5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(j) = -18 + 9*j**3 + 14*j - 7*j - 9. Let i be w(3). Suppose 5*x = 113 + i. What are the prime factors of x?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 205624396?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from csgee. Give prob of picking 1 s, 1 g, and 1 c.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -2046626.00201 - -2046639. Let p = v - 13.01698666. Let i = p - -0.019. What is i rounded to seven decimal places?\nAnswer: 0.0000033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -60 - -57. Let i(m) = -5*m - 3. Let l(y) = y**2 - 4*y - 2. Calculate u*l(k) + 2*i(k).\nAnswer: -3*k**2 + 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -10.398 + 10.3. What is b rounded to 2 decimal places?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -13?  (a) 4\/5  (b) 2097  (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2966 is divided by 90?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:14 AM and 7:06 PM?\nAnswer: 652","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*k - 68 = -4*u + 18, 3*k = -3*u + 69. Suppose l + l = -d + 9, -2*d - 5*l + u = 0. Suppose 0 = -d*b + 1 + 14. Solve 6*g = b*g + 9 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(r) = -3417*r**2. Let g(n) = 367*n. What is k(g(d))?\nAnswer: -460232313*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8 = -q + w, 7 + 10 = -q - 4*w. Let v(u) = 5795 + q*u - 5795. Let g(s) = -3*s + s + 7*s. What is g(v(i))?\nAnswer: 15*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2271937?\nAnswer: 2271937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 7*s**2 - 10 - 5*s - 25*s + 30*s to the form k*s + b + u*s**2 and give u.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1 = -4*v - 5*s, -35*s + 31*s = -v - 5 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*f = -2*g + 24, 6*g + 2*f = 3*g - 2. Let a(k) = k**2 - 4*k + 4. Let v be a(3). Solve 2*s = u + v, -3*u = g + 1 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -61124 - -52750006\/863. Is n <= -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(x) = 7*x + 1. Let w be y(4). Let g be 52\/8 - (-2)\/4. Suppose t = 2*f - 7*f + w, -3*f + 2*t = -g. What is the highest common factor of 2 and f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 2624075585?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -29 = -5*z + 2*o, -3 = 2*z - z + 4*o. Solve 0 = -z*x + 3*x - 8 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ryry when four letters picked without replacement from ryyryyyyyy.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 219?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -847?  (a) -0.6  (b) 24  (c) 2  (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let v(j) = -j + 2. Let t be v(-10). Suppose f = -3*f + t. Suppose -f*y = -m - 7, 3*y + 2*m + 0*m + 5 = 0. Sort 4, -5, y in increasing order.\nAnswer: -5, y, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 20 is divided by 11\/(-2 + 3)*1.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(j) = j**3 + j**2 - 2*j - 4. Let q(c) = 4*c**3 + 2*c**2 - 7*c - 13. Suppose 10*v = 19*v + 63. Calculate v*i(b) + 2*q(b).\nAnswer: b**3 - 3*b**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 592 - 592 - 443*w**2 + 444*w**2 - 6*w.\nAnswer: w**2 - 6*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -7 + 29. Let n be (-10)\/(-55) + (-70)\/v. What is the tens digit of 5 + -4 + 31 + n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 9 + -7. Let d = -8 + u. Let j = 1 - d. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(q) = q**3 - 6*q**2 + 4*q + 5. Suppose -13 = -5*f + 12. Give c(f).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*p + 2 = -6. Suppose x - 3*f - 4 = 0, 0*x + 3*f = 4*x - 7. Suppose -4*w - 8 = 0, -r + 2*w - x = -7. Solve -5 = -3*g + r*i, i - 2 + 7 = p*g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 13652*f**3 + 3 - 27286*f**3 + 13648*f**3.\nAnswer: 14*f**3 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 988787 to the power of 1\/6, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 175*m - 173*m + 21 = -3*v, 2*m = -6 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 80 = -2*w - 4*q, 5*w - 21190 = 2*q - 21174 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-180)\/(-9) - (-4794)\/(-188))*(-3)\/121?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(z) = -z**2 - 7*z + 4. Let l be k(-7). Let w = 1 + -2. What are the prime factors of (l\/6)\/(w\/(-12))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-132)\/(-99)*-22*(-12)\/32\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.5 + -4.24?\nAnswer: -4.74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*r + 12 + 0 = 0, -4*q = -2*r + 174. Let h = 136.56 - 2.56. Let b = 133.9 - h. Is b less than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 3 in -2\/13, 0.4, 11, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -178, -695, -1552, -2743, -4262, -6103?\n\"Answer: w**3 - 176*w**2 + 4*w - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 k and 3 y when four letters picked without replacement from kykkykykkykykyykkyyy?\nAnswer: 80\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -10*d - 58 = 19*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -16*q + 46*q = 390. What is the greatest common divisor of 182 and q?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence tkmk when four letters picked without replacement from {m: 4, t: 2, k: 3}.\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let y be -4 - 1*4*-2. Suppose -22 = q - 5*j - y, 2*q - 5*j + 16 = 0. Let s(g) = q*g + 1 - 35*g**2 + 17*g**2 + 13*g**2. Give s(-1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(d) be the second derivative of d**5\/30 - 2*d**4\/27 + d**3\/27 - 2*d. Suppose o(m) = 0. Calculate m.\nAnswer: 0, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -10 + (-17 + 28 + -31 - 6).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 691 minutes after 4:47 PM?\nAnswer: 4:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3 divided by 57813.\nAnswer: -1\/19271","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Does 9 divide 9698?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*y + 93 + 7. Let w = 34 + y. What is the remainder when w is divided by 1*-2 + -4 + 14?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(l) be the second derivative of l**7\/273 - 11*l**6\/195 + 23*l**5\/65 - 15*l**4\/13 + 27*l**3\/13 - 27*l**2\/13 - 4755*l. Suppose s(o) = 0. Calculate o.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w**(-16))**32 assuming w is positive.\nAnswer: w**(-512)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00000070661029 rounded to seven decimal places?\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -52 - 53 = 3*i. Is (994\/i)\/((3 + 0)\/(-15)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*i = 2*n - 2, 0 = n - 0*n + 4*i - 10 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 1137520*a*c**3 - 30*a*c**2 + 47*a - 503914 wrt c.\nAnswer: 3412560*a*c**2 - 60*a*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 2802 a multiple of 99?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is -11906 divided by 1?\nAnswer: -11906","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 17908, 17927, 17938, 17935, 17912, 17863, 17782, 17663?\n\"Answer: -f**3 + 2*f**2 + 20*f + 17887","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -2 + 12\/6 - 20\/130?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(r) = -1015*r - 9. What is the thousands digit of n(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -16 - 4 = -4*p. Let y(r) = -r**3 + 4*r**2 + 8*r - 13. Let v be y(p). Let c(q) = -8*q**2 + q + 1. What is c(v)?\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -d = -3*y + 11, -2*y = d + 4*d - 13. Suppose -16 = y*b + 6*s - 2*s, -4*b - 3*s = 15. Is ((-235)\/(-4) + b)\/(2\/8) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(r) = -7*r**2 - 3. Let h(l) = 10*l**2 + 4. Let f(g) = 5*h(g) + 7*t(g). Let y = 249 + -244. Let o(k) = -9*k**2 + 5. Calculate y*f(w) + o(w).\nAnswer: -4*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 42*i = 44*i + 59*i - 427 for i.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let k be -636*(1270\/(-60) + 21). Calculate the greatest common divisor of k and 1749.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 1598 and 102?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 288 to the power of 1\/2, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -1\/28 - -23\/56. What is the third smallest value in -15, q, -4?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 0 - 16\/3*y**3 + 44\/3*y**4 - 460\/3*y**2 - 50*y + 2*y**5 = 0. What is y?\nAnswer: -5, -1\/3, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -0.1 + 0.4. Let m be (19 - 22 - 8)*(76\/(-22) + 3). Let p be (12\/56)\/((-3)\/8). Which is the nearest to 1?  (a) p  (b) n  (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(i) be the first derivative of -i**3\/3 + 5*i**2 + 4*i - 1. Let d be m(10). Solve 0 = -z - d*z - 15 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.663899 litres in millilitres?\nAnswer: 663.899","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1 in -3\/16, -1, 0.4, -0.02, 8?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is -18893.2 less than 1?\nAnswer: 18894.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -1535 or -2726?\nAnswer: -1535","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*m + 2*m + 2*m**2)*(-3*m + 4*m + m) + (0*m - 3*m + m)*(-4*m**2 + 0*m**2 + 5*m**2).\nAnswer: 2*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence hw when two letters picked without replacement from {h: 10, w: 7, u: 1}.\nAnswer: 35\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12*j**2 - 18952940*j - 12635288 = 0. Calculate j.\nAnswer: -1579411, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 125909 divided by 1187.\nAnswer: 125909\/1187","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Put -3, 67484856.2, 3 in increasing order.\nAnswer: -3, 3, 67484856.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(76)\/sqrt(4) + -4 + sqrt(19) - (0 + sqrt(475) + sqrt(19)))*-6)**2.\nAnswer: 1152*sqrt(19) + 11520","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let x(f) be the second derivative of 37*f**5\/120 + f**4\/3 - f**3\/2 - 6*f. Let q(z) be the second derivative of x(z). Is q(7) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((k**(-2\/5))**(-1\/22))**(-21)*(k**0)**27*(k\/k**1*k)\/((k\/(k\/k**4*k))\/k) assuming k is positive.\nAnswer: k**(-76\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*q + 4*f - 5*f - 8 = 0, -4*f = 5*q + 26 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -328 - 318 = -4*a - 3*q, -3*a = q - 482. What is the highest common divisor of a and 120?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(n) = 6*n**3 - 68*n**2 - 58*n - 51. Is o(27) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 124*l - 154 + 526 = 0 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 778428363 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*z - 12*j + 14*j + 17364 = 0, 0 = -3*z + j + 26034. What is the units digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w**4\/4 + 39*w**3\/4 - 25*w**2\/2 - 102*w - 80 = 0. Calculate w.\nAnswer: -40, -2, -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-987*u - 3353*u + 1183*u + 1)*(-2*u + 2*u - 7*u).\nAnswer: 22099*u**2 - 7*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is (-1)\/(-2)*(-35)\/(-15)*57\/(-665)?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -p - 3*p - 4*g = 28, 33*p + 5*g - 125 + 132 = 0 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*h + 3194 = n, 80*n - 75*n - 3190 = -5*h. Does 9 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 4, -19578, 15 in decreasing order.\nAnswer: 15, 4, -19578","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand -f**4 - f**5 + f**4 + (-8*f**2 + 4*f**2 + 44*f**2)*(5*f - 7*f - 19*f)*(0*f + 0*f - f**2 + (-3*f + 2*f - f)*(0*f + f - 2*f) + 0*f**2 + 2*f**2 + 0*f**2).\nAnswer: -2521*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 95800 and 45026?\nAnswer: 958","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 9794525 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 99992, 200070, 300354, 400946, 501948, 603462?\n\"Answer: 17*h**3 + h**2 + 99956*h + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 849104 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.000005014 rounded to six dps?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let y(d) = d**2 - 12*d + 12. Let x be y(10). Does 12 divide x\/(-6) + (-222)\/(-9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 21*g = 18*g + 282. What is the remainder when g is divided by 19?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 b, 1 d, and 1 g when four letters picked without replacement from dbbddgdbddggg.\nAnswer: 72\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 4 z when four letters picked without replacement from {o: 14, z: 4}.\nAnswer: 1\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let o(r) = -r**3 - 14*r**2 - 16*r + 19. Suppose 20 - 59 = 3*p. Let l be o(p). Suppose -z = z - l. What is the units digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(x) = 10*x**3 - 2*x**2 + 3*x. Let i(c) = 3*c**2 + 615*c - 1867. Let u be i(3). Let f(o) = -19*o**3 + 3*o**2 - 5*o. Calculate u*b(j) + 3*f(j).\nAnswer: -7*j**3 - j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -13*h = -12*h - 43. List the prime factors of h.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -31*k = -34*k - 3 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 4.5 - 7.6. Let u = -0.5 - z. What is u rounded to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from wxwwwwwwwxw. What is prob of picking 1 x and 1 w?\nAnswer: 18\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Total of 109 and 455.959.\nAnswer: 564.959","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -177*k**4 - 6508*k - 101 + 6508*k wrt k.\nAnswer: -708*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*m - 5*m - t = 12, t = 3. What is the derivative of 6*r**4 - 5*r**3 - 25 - m*r**4 - 13*r**3 - 9*r**3 wrt r?\nAnswer: 4*r**3 - 81*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 8*l - 4*u = -36, -6*l + 5*l + 5*u = 45 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 0 + 0 + 1 - (-157 + 158) - -19.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 477654\/977 or 488?\nAnswer: 488","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -78 - -74 - (-21 + 27 - 17).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 18685784?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {i: 1, y: 3}. What is prob of picking 2 y?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose y + 4 = -4*j + 1, 3*y = 4*j + 39. Suppose -1 = d + 4*g - y, 5*g = -d + 10. Calculate the remainder when 52 is divided by (d - 1)\/(2\/(-22) - 0).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 6 + 2\/(-16) + 7\/(-8). Let f(t) = -t**3 + 8*t**2 - 4*t + 4. Let s be f(o). List the prime factors of (-5 - -8) + -4 + s.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z*z**(2\/15)*z*((z**(-5)\/z)\/z)\/z*z)\/(((z\/z**3)\/z)\/(z*z**(-2\/17)\/z))*(z**(2\/17)\/(z\/(z\/(z*z**(-1\/4)))))**(-18) assuming z is positive.\nAnswer: z**(4793\/510)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from spxselspssluslspxp. What is prob of sequence sus?\nAnswer: 7\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4996074*l - 4997283*l + 9993352*l.\nAnswer: -5*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let v be ((-36)\/14 + (-8)\/(-14))*12. Let x = v - -30. Find g, given that 0 - 5 + 3 - x - 8*g - 2*g**2 = 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*j = 54 + 66. Suppose i + 3*i - j = 0. Suppose -2*p - 3*p + i = 0. Solve -4*s + 9*r - 22 = 4*r, -p*s + 4*r - 14 = 0 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(b) = -2*b**3 + 4*b**2 - b + 4. Let x be -2 + (5\/20 - (-4052)\/(-16)). Let z = x - -256. Let i(h) = -h**3 + h**2 - h + 1. Determine z*o(w) - 4*i(w).\nAnswer: 2*w**3 + 3*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 3964*k**2*q**2 - 3*k*q**2 + k*q + 545 wrt k.\nAnswer: 7928*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -23*a = -27*a + 84. Let y(x) = 30*x - 1. Let s be y(5). Let k = a + s. What is the tens digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*u + k = 5*u - 6, -2*u = -2*k - 4. Which is the nearest to -0.2?  (a) u  (b) -1.5  (c) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -3, 0.1, 3\/97, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 - 3 - 2*b**2)*(b**2 - 2*b**2 + 3*b**2) + (11*b + 101 - 101)*(b**2 - b**2 + 2*b**3).\nAnswer: 18*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 103143926?\nAnswer: 2, 51571963","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 0.0318 - -0.0182. Which is the second smallest value?  (a) -0.01  (b) u  (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 103 - 98. Let y(w) = 18*w**3 - 3*w - 3. Let t(z) = 35*z**3 - 5*z - 5. What is f*y(n) - 3*t(n)?\nAnswer: -15*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -3.5 - -0.5. Let s = 7 - d. Let g = -9.6 + s. Which is the closest to -1?  (a) g  (b) -0.5  (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -26\/9017965 and -87\/50?\nAnswer: 90179650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:50 AM and 2:28 PM?\nAnswer: 158","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 69 - 974*p**3 - 298*p**3 - 4 + 76 - 141.\nAnswer: -1272*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -57720 + c?\nAnswer: -57711","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let m(f) = -f - 2. Let q(a) = 6*a + 11. Suppose 2*y = -2 - 122. Let v = 65 + y. Suppose w + t = -26 - 10, -v*w - 4*t - 111 = 0. Give w*m(k) - 6*q(k).\nAnswer: -3*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 351473 is divided by 29286.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: (16 - 36) + 6 + 15\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort -16, 0.4, -1, -2\/3, 62.5, 1\/5 in descending order.\nAnswer: 62.5, 0.4, 1\/5, -2\/3, -1, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 m and 1 l when two letters picked without replacement from lpllm?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, 64, -63, 113 in decreasing order.\nAnswer: 113, 64, 4, -63","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Divide 108 by 2.\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.1417396nm in centimeters?\nAnswer: 0.00000001417396","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 0.1 - 0.6. Let h = -107581\/6230 - -24\/445. Let x = h + 35\/2. Which is the closest to -2\/5?  (a) x  (b) 1\/4  (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((3 + sqrt(704) + 1 - (sqrt(704)*1*3)**2)*5 - (sqrt(704) + -1 + sqrt(704) + -4 + sqrt(704))*4*-6)*3.\nAnswer: -95340 + 1848*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 o and 1 h when four letters picked without replacement from ohohsoohhhhouhoshh.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -4*240\/128*(-4)\/(-2)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*d - 27 = -4*n, 3*n - 5*d + 5 + 1 = 0. Suppose 0*h + 34 = 2*h - 2*l, -n*l + 61 = 4*h. Let r = 22 - 19. Solve -r*a - h = a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 720 - 443366111.2?\nAnswer: -443365391.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: 5.3 - -8\nAnswer: 13.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-3 + 5)\/((-1)\/1) - -10. Let j = 11 - m. Factor 26*r + 25*r + 5*r**j - 51*r.\nAnswer: 5*r**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(f) = -2*f + 1. What is l(7)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -22 + 21.69. Let x = -0.09 + l. Sort x, -4\/3, 3\/7 in ascending order.\nAnswer: -4\/3, x, 3\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 20 and (1 + -9)*(390\/(-24) - 1).\nAnswer: 1380","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 180, -1, 14\/11, 3, -0.1287.\nAnswer: -1, -0.1287, 14\/11, 3, 180","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4*1*sqrt(68) - 6*2*sqrt(68))\/(sqrt(4) - sqrt(24)\/(sqrt(24)\/sqrt(4)) - 2*(sqrt(16)\/sqrt(4) + sqrt(4))) + -1.\nAnswer: -1 + 4*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*q = q + 20. Suppose -36 = -2*m - q. Suppose 8*c = 7*c + m. What are the prime factors of c?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: (3\/(-15) + 0)\/(12\/5)\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (0 - (3 + -2))\/(3\/(-9)). Suppose 2*v + y = -2, 8 = -n*v - y + 2*y. Let b(f) = f - 4. Let u be b(v). Let m(x) = -x**3 - 6*x**2 - 2*x - 6. Give m(u).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -1085, -2164, -3249, -4340, -5437, -6540?\nAnswer: -7649","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -23*c - 2*u + 2 - 181 + 35 = 45*c, 4*c = 3*u + 216 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Factor -a**2 + 28\/3 - 40\/3*a.\nAnswer: -(a + 14)*(3*a - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:35 AM and 10:14 AM?\nAnswer: 459","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 16692, 66400, 149118, 264846, 413584, 595332?\nAnswer: 810090","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r(p) = -8*p**2 + 9784*p - 106677. Determine r(11).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 669241023\/53 + -12625530. Let f = j + -1659. Which is smaller: 1 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -6510056*b**3 - 3384*b**2 - 36*b wrt b?\nAnswer: -39060336","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is -423350\/3 at most as big as -141118?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -h - 19 = -5*y, -27 = 35*y - 40*y + 3*h for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let k(m) = -2*m**2. Let h(o) = -4*o + 6 - 7 + 1. What is h(k(t))?\nAnswer: 8*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is d in -d**4 - 5675*d**3 - 7945494*d**2 + 301216608*d - 831987072 = 0?\nAnswer: -2856, 3, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -9.23 - -5.23. Which is bigger: w or -6?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s*s\/s**(-3)*s\/(s*s**(7\/4))*s*(s\/s**(-2\/5))**(-10))\/((s*s**0)\/(s\/(s\/s**6)))**13 assuming s is positive.\nAnswer: s**(221\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let q(b) = 2*b**2 - 3*b - 2. Let m be q(-1). Find the third derivative of 2*k**5 - 66*k**2 - 20*k**m - 26*k**4 + 15*k**3 + 26*k**4 wrt k.\nAnswer: 120*k**2 - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -1978000 to the nearest one million.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*g + 25 = -5*g. Let w = 238\/177 + -2\/177. Let x = 33 - 98\/3. What is the nearest to -1 in x, w, g?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify z**(-5)\/z*z*z*z*z*z**(-2\/19)*z*z*z*z**(1\/4)*z**6 assuming z is positive.\nAnswer: z**(543\/76)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 7772 to the nearest integer?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -43\/990 and -41\/15.\nAnswer: 990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 2587745974 to the power of 1\/10, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let r(v) = 3*v**2 + 5*v + 7. Calculate the smallest common multiple of r(-2) and 5.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -10*x**4 + x**3 + 4*x**4 - 2*x**4 + (3*x**3 + x**3 - x**3)*(-2*x + 3*x + 0*x).\nAnswer: -5*x**4 + x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-60)\/(-360)*63\/2*(-1)\/(-14).\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 160 + -95. Suppose -f = -6*u + u. What is the remainder when 0 + 0\/(-2) - -24 is divided by u?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-8)\/1*(861\/(-98))\/41\nAnswer: 12\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -11.209 - -11858?\nAnswer: 11846.791","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 4502 + -4497. Let t(b) = 4*b**3 + 5*b - 2. Let j(r) = 1 + 3*r - 10*r - 6*r**3 + 2. Calculate x*j(h) + 7*t(h).\nAnswer: -2*h**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -177 or -182?\nAnswer: -177","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 47\/345675 and 49\/29025.\nAnswer: 133776225","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let j(h) = -2*h**3 + 8*h**2 - 7*h + 7. Let u(p) = -2*p**3 + 7*p**2 - 6*p + 6. Suppose 12 = -3*i - 0. Let a be (-47)\/7 + i\/14. What is a*u(w) + 6*j(w)?\nAnswer: 2*w**3 - w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let c(x) = 12*x + 112. Let v be c(-8). Solve 31*t - 35*t = -v for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5*s + 1060*s**3 - 5*s - 272*s**3 + 1253*s**3.\nAnswer: 2041*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*r + 4*p + 147 + 89 = 0, 320 = -4*r - 4*p. Let c = r - -95. Calculate the greatest common factor of c and 55.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify f**(2\/9)\/f*f*f\/(f\/(f**(-26)*f)*f) assuming f is positive.\nAnswer: f**(-232\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*l - 6, 154 = -4*n - n - 2*l. Let z = n - -35. Suppose z*o = o + 4. Solve 0 = m - o*f - 1 - 3, 5*f + 10 = 0 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(o) = o**2 + o. Let l be w(0). Let b(x) = -2*x**2 + 2*x + 14. Let z be b(l). Suppose -2*y + 3*y = z. Does 7 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (4\/(-16))\/((-228)\/28272)?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0?  (a) -95  (b) -2\/7  (c) 5  (d) 3.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 3543731833?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is -2484 greater than 46\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (0\/8)\/(1*-1). Suppose d*o - 2*o + 10 = 0. Solve -k = -o*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -65 + 70. Suppose -r*u - 5 = -4*l + 7*l, l - 5 = 5*u. Solve -3*p - k = -l*p - 19, -2*p - 5*k = -30 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in one fifth of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u(o) = 24942*o. Let l(n) = -46*n - 2. What is l(u(j))?\nAnswer: -1147332*j - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 388391 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let s(k) be the second derivative of 14*k**3\/3 - k. Calculate the remainder when s(1) is divided by (-880)\/(-44)*(0 - (-1)\/2).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -72  (b) 5  (c) 18  (d) 364  (e) -4  (f) 2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let k(d) = d**2 - 6*d + 3. Let n be k(6). Suppose -h = -2*j - 6, -5*h + 20 = -4*j + 2. What is the third derivative of 12*r**2 - 3*r**h + 4*r**n - r**2 wrt r?\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*y - 2*b + 62 = 0, 0*y + 3*b + 39 = y. Suppose 4*t = y - 64. What is the remainder when 19 is divided by (-104)\/(-20) + 2\/t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(g) = g. Let h(x) = -529605*x**2. Calculate h(r(d)).\nAnswer: -529605*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0 + 4\/48*8\/3.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((b*b**(-1\/10))\/b*(b*b*b**(-8))\/b*b*b**(-1)\/(((b**(4\/5)\/b)\/b)\/b))**(3\/44) assuming b is positive.\nAnswer: b**(-147\/440)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is p in -3*p**4\/5 + 818931*p**3\/5 - 74516715504*p**2\/5 + 452038267262208*p - 2260116820414464\/5 = 0?\nAnswer: 1, 90992","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 1469*o - 1470*o + 17, -g + 2*o - 30 = 0 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 2486 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {f: 11, o: 1}. Give prob of picking 4 f.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3 = -3*l + 15. Suppose 52 + 24 = -l*u. List the prime factors of 1\/5 - u\/5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(g) = 6*g**2 + 128*g + 75. What is the tens digit of z(-30)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-4)\/(-15)*(75\/10)\/(-5)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:25 AM and 2:28 PM?\nAnswer: 243","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 24170.\nAnswer: 2, 5, 2417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let f(i) = 6*i**2. Let k(m) be the first derivative of -m**3\/3 - 3*m**2\/2 + 2*m + 1. Let h be k(-3). Let d(y) = 20 + y**h - 20. What is f(d(x))?\nAnswer: 6*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 17206907 and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (5*f**3 - 2*f**3 - f**3)*((4 - 7 - 3)*(-7*f - 8 + 8) + 3*f - 3*f - 2*f)*(-2 + 1 + 2) to the form y*f**4 + z*f + q*f**2 + o*f**3 + k and give y.\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let c(o) = 12*o**2 + 9*o - 9. Let l be c(1). Suppose 17*d = l*d + 680. List the prime factors of d.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 0, 1, -2, 252 in increasing order.\nAnswer: -2, 0, 1, 252","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Round 1934665.4 to the nearest ten thousand.\nAnswer: 1930000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let i(o) be the second derivative of -o**4\/12 - o**3\/2 + 9*o**2\/2 + 9*o. Let c be i(0). Suppose -14 = c*k - 41. Solve n + 11 = 2*j, -k*n + 6*n + 13 = 2*j for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 9 and 43.\nAnswer: 387","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: -3.251 + -1274209\nAnswer: -1274212.251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence hby when three letters picked without replacement from yyyhbllyllylyj.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*v - 108 = 5*v. Does 12 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: 92\/69*(-2)\/(-8)*30\/(-1)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m(w) = w**2 - 2*w - 6. Let b be m(-2). Let o be ((-4)\/16*0)\/b. Suppose -3*u + o*j + 24 = -4*j, 1 = 4*u + 5*j. Solve 0 = -0*g + u*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 55*-13025\nAnswer: -716375","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -737*b + 753*b - 60656. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(m) = m + 1. Suppose t + 5*d - 13 - 5 = 0, 0 = 4*t - 5*d + 3. Let u(i) = 2*i + 3 - 8*i + 10*i + t. Calculate -2*u(g) + 12*z(g).\nAnswer: 4*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-5)\/(5 + 0)*(-2)\/(-6).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(b) = -b**3 - 3. Let y(h) be the first derivative of -3*h**4\/4 - 7*h - 4. Let a = 11192 - 11199. Calculate a*w(m) + 3*y(m).\nAnswer: -2*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 55 - 10. What is the lowest common multiple of a and (52\/3 - (59 + -60))*(-130 + 133)?\nAnswer: 495","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*z + 182 = 3*o - 0*o, 4*o - 3*z = 228. Suppose -918 = -8*q - o. What is the hundreds digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 18 divide 945?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*a - 4*u = 6, a - 5*u - 32 = -0*a. Let d(s) = -s**2 + 1 - 3*s + 8*s + 3*s. What are the prime factors of d(a)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 363378 and 426.\nAnswer: 426","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 55953011 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 4671?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose y - 3*y + 10 = 0. Let z be (24\/(-10))\/((-1)\/y). Suppose -68*i = 201*i. Solve 4*q + z = -i*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 1310*o*p**3 - o*p**2*z + p**3*z**2 + p**2*z**2 + 217*p**2 wrt p.\nAnswer: 7860*o + 6*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/50 of a meter in micrometers?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 5876819 (base 10) in base 4?\nAnswer: 112122301103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b(h) = 1195*h**2 - 4. Let c(n) = -n**3 - 9558*n**2 + 34. Determine 17*b(d) + 2*c(d).\nAnswer: -2*d**3 + 1199*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Sort -64, -5, 7, -6, 5 in decreasing order.\nAnswer: 7, 5, -5, -6, -64","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -3564 + 3568. Which is the second smallest value?  (a) -1  (b) g  (c) 0.2  (d) 10  (e) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 66026*i + 4998 = 67692*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1.617*0.2478.\nAnswer: 0.4006926","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -16.9 - -19. Let y = 1 - h. Let d = 1.099989 + y. What is d rounded to 5 decimal places?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 1 - -1. Let u = 0.8 - 1. Let q = -317\/5 + 64. Put q, u, h in descending order.\nAnswer: h, q, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.16?  (a) 485  (b) -2.7  (c) 4  (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 27225856?\nAnswer: 2, 7, 15193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1 + 1 = f. Let d = 10 + -5. What is the third derivative of 8*j**2 - j**2 + 2*j**4 - 3*j**f - d*j**4 wrt j?\nAnswer: -72*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(17) - (sqrt(272))**2*-4) + -2 - 3*(sqrt(153) + -4).\nAnswer: -8*sqrt(17) + 1098","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4671028620?\nAnswer: 2, 3, 5, 961117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(1872) - (0 + sqrt(1872) + 0 + sqrt(1872)) - (sqrt(1872) - 1*sqrt(1872))*6) + 1)**2*-4.\nAnswer: -7492 + 96*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 34*h - 31*h - 1289542 + 1289544.\nAnswer: 3*h + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 3 - 3.45. Let k = t + 0. Round k to one dp.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -85074 divided by 81?\nAnswer: -28358\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Convert -222 (base 4) to base 5.\nAnswer: -132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 7532223*b**2 + 6179828 with respect to b.\nAnswer: 15064446*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 38 + -37.39. Round b to one decimal place.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be ((-78)\/(-63))\/26*(-2)\/(-10). Let x(a) be the second derivative of -m*a**5 + 1\/315*a**6 + 0*a**2 + 0 + 20*a - 1\/126*a**4 + 2\/63*a**3. Solve x(i) = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -1430, -5706, -12832, -22808?\nAnswer: -35634","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 30\/2 + 120\/2080*-268.\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(b) = -2*b**3 + b**2 - 2*b - 5. Let n be k(2). Which is smaller: -345\/16 or n?\nAnswer: -345\/16","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*k - 164 = 2028. Let q be (-3423)\/5 + 2\/(-5). Let b = k + q. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s**(2\/11)*s*(s*s*s*s*s**7)\/s)\/(s**(-4)*s\/(s\/((s**6*s)\/s*s))) assuming s is positive.\nAnswer: s**(90\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2d (base 14) to base 12.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 624088 is divided by 1572.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let l be -3 - ((-1)\/(-1) + -8). Suppose 0 = -5*b + 16 + l. Solve k + 3 = b for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 16002\/4 + (-4)\/(-8) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11*v + 66 = 17*v. Let b(q) = -q**3 + 11*q**2 + 2*q + 17. What is the remainder when b(v) is divided by 22?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 13\/700 and -28\/115.\nAnswer: 16100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 4031032686?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is b3194 + 3?\nAnswer: b3197","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6 = 5*y + 2*z, 8*y - 10*y = -2*z - 6. Is -5\/108 less than or equal to y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(h) = 309*h - 135. Let g(f) = 309*f - 137. Let a(l) = 3*g(l) - 4*r(l). Differentiate a(v) wrt v.\nAnswer: -309","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 10 a factor of 826013109?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is -1\/2 less than -5443?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 193 is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 247344816, 494689630, 742034444, 989379258, 1236724072, 1484068886?\nAnswer: 1731413700","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*k - 13*q = -18*q - 7, 11 = -3*k - 4*q for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0714341 minutes in nanoseconds?\nAnswer: 4286046000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b(f) = -5*f + 9. Let c(r) be the second derivative of r**3\/3 - 3*r**2\/2 - 2062*r. Determine 6*b(p) + 17*c(p).\nAnswer: 4*p + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, -5, -104, 5, -2, 0 in descending order.\nAnswer: 5, 0, -2, -4, -5, -104","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let t(d) = 1. Let h(c) = 6*c**2 + 2*c + 4. What is -h(i) + 5*t(i)?\nAnswer: -6*i**2 - 2*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose l + 1 = -4. Let i(t) = -t**2 - 5*t + 5. What are the prime factors of i(l)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 7306240 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from bbbjbvbbbjvbbbj. Give prob of picking 1 v and 2 j.\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*l - 5159 = -3*b + 4*b, l = -b - 1292. Let k = l + 2165. Suppose k = 10*o - 1654. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: 100214 (base 5) to base 14\nAnswer: 1236","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d be ((-7)\/(-3))\/(2\/(-6)). Let b = 24 + -29. Put d, 2, b in descending order.\nAnswer: 2, b, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 458 - 648. Let p = j + 192. What is the closest to 1\/4 in p, 42\/5, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be ((-3)\/(-2))\/(2\/16*-6). Sort 5, m, 3, 4 in decreasing order.\nAnswer: 5, 4, 3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(u) = 3*u**2. Let n(i) = i**2. Let r(j) = -8*n(j) + 3*s(j). Let f(c) = -8*c**2 - 20*c - 100. Let g(a) = 2*f(a) + 14*r(a). Determine l, given that g(l) = 0.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*a = -2*i + 38619996, 4*a - 4*i - 10092500 - 20803508 = 0. Round a to the nearest 1000000.\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(q) = -4*q**2 - 4*q + 1. Suppose 5*r = -4 - 6. Let z(b) = b**2 + b - 1. Let n = -2 + 1. What is n*o(m) + r*z(m)?\nAnswer: 2*m**2 + 2*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many kilometers are there in 97866.58 meters?\nAnswer: 97.86658","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 465\/(-155)*(-2)\/(-6)*1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Divide 1343555 by 7.\nAnswer: 1343555\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 290 + 7. What is the highest common factor of 11 and h?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5*b - 3*b - b)*(b - 3*b + b)*(12485*b - 12485*b + 3673*b**2).\nAnswer: -3673*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -191*a**5 + 20*a**4 + 5*a**3 - 14*a**2 - 77?\nAnswer: -11460*a**2 + 480*a + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5 = -3*y + 7. Let s(c) = c**2 + c - 3. Let w be s(y). Suppose -4*o + 3*o + w = i, -2*i - 38 = -4*o. Calculate the least common multiple of o and 20.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -96*x + 77*x = -38 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let p(c) = 4*c**2 + 2*c + 1. Let l be p(-1). Suppose -1552 = -4*i - z + 4*z, -i = -l*z - 397. Suppose -m = -i - 165. What is m rounded to the nearest 100?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 31?  (a) -2  (b) -2\/19  (c) 7\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 0.0105 + 655.9895. Let q = s + -655.9. Let b be (-2)\/(-9) - 123\/(-54). What is the biggest value in 0, 0.2, q, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(m) = m**2 - 2*m + 1. Let n be (2 + 8\/(-6))*3. Let k be u(n). Put 2, k, 0 in increasing order.\nAnswer: 0, k, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -99\/78862 and 101\/6622.\nAnswer: 867482","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let c(f) = -192*f**3 + 109*f**2 + 593*f + 8. What are the prime factors of c(-5)?\nAnswer: 2, 2971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(m) = m**2 - 13*m + 15. Let h be b(12). Sort 4, -3, h in ascending order.\nAnswer: -3, h, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -3*((-1309)\/165 - -5)*(-5)\/(-2)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 6\/25 of a microgram in nanograms?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*n = n - 6. Let u(t) = -t - 8. Let p be u(n). Let l be (-4)\/(p\/(-2) + -3). Solve -g + l = -0*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 54 - 414?\nAnswer: -360","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -7 - -10. Suppose 5*w = 5*y + 30, 0 = -2*w + j*y + 2*y + 24. Suppose -t = -w*p - 6, p - 2*p = t - 21. Solve 2*o + t = -2*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -34165 + 34175. Solve 0 = -j*x + 14*x + 8, 2*l - 5*x - 12 = 0 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 1253\/9 + -139. Let m be 2 + (-78)\/27 + 1. Let z = o + m. Which is the second biggest value?  (a) z  (b) 1  (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine b so that 184*b + 1\/5*b**2 + 0 = 0.\nAnswer: -920, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -0.11, 0.5, 0.1, 281, -2\/5, -0.3?\nAnswer: 281","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is -9 + (-1)\/(3\/(-39))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 16\/7 - 2. Let r(a) = -a + 1. Suppose -12 = -5*j - 2. Let h be r(j). Which is smaller: h or z?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*g = g - 18. Let r(x) = x + 2. Let h be r(1). Suppose -y = 3*k + h*y - 28, -5 = -5*y. Solve -g*z = -2*z - k for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9117504 = 43*l - 219*l. What is the ten thousands digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 10.89 + 23?\nAnswer: 33.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 u and 1 c when two letters picked without replacement from uucuucuc?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let i(a) be the second derivative of -1\/5*a**5 + 1\/6*a**4 + 0 + 0*a**2 + 0*a**3 - 8*a - 1\/5*a**6. Factor i(b).\nAnswer: -2*b**2*(b + 1)*(3*b - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -5 in -0.011, -0.01, -0.5, -0.2, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*n**2 + 884*n - 51376.\nAnswer: 2*(n - 52)*(n + 494)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 18035.684 rounded to the nearest 10?\nAnswer: 18040","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 2\/7, -0.5, 17.32, -2\/5, -0.2, -1158?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 27*i - 6 = 30*i. Let b = 2.7 + 8.3. Let p = b - 9. What is the closest to p in i, 2\/7, -3?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be ((-13)\/65)\/(6\/(-135)). Let d(j) be the first derivative of -13\/4*j**3 - 9\/8*j**4 - u*j**2 - 3*j - 3\/20*j**5 + 5. Solve d(t) = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from uuyqe. Give prob of sequence eqy.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 14\/(-4)*(-2 - (-12)\/14). Suppose 0 = x*j - 521 - 211. List the prime factors of j.\nAnswer: 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sum -1.211 and -3.\nAnswer: -4.211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 54 minutes after 7:12 PM?\nAnswer: 8:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 420 minutes before 5:03 AM?\nAnswer: 10:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*m = 2*g + 178, 94 - 5 = -m - 2*g. Let z = m + 124. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*k + 5*d - 9 = 0, 0 = -3*k - 7*d + 11*d - 1 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3410 is divided by 733.\nAnswer: 478","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 35 and 203.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 625 minutes after 4:01 AM?\nAnswer: 2:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -72*l + 29503 - 2431 = 0. What is the remainder when l is divided by 29\/(-4)*4\/(-1)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -793 + 878. Suppose -x + 3*x - 4*z = 48, -2*x + 51 = -3*z. What is the remainder when c is divided by x?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: -141 (base 9) to base 6\nAnswer: -314","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 152*-4.\nAnswer: -608","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let b(h) = 12*h**3 + 7*h**2 - 7*h + 7. Let x be -2*2 + 1 + 15\/(-5). Let u(y) = 11*y**3 + 6*y**2 - 6*y + 6. What is x*b(w) + 7*u(w)?\nAnswer: 5*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4862640 = -u + 33932640. What is u rounded to the nearest 1000000?\nAnswer: 29000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 349 and 47938291?\nAnswer: 349","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4*0.04.\nAnswer: 0.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let c(k) = k**2 - 3*k - 3. Let x = -4 + -2. Let y be (-10)\/(-6) + (-2)\/x. Suppose -3*h + 7*h = -5*m + y, 4*h - 18 = 3*m. Determine c(h).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify d\/d**(3\/5)*d\/d**(2\/11)*(d\/(d**1\/d*d))**16 assuming d is positive.\nAnswer: d**(67\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Sort 6, -5, 5\/4, 201 in decreasing order.\nAnswer: 201, 6, 5\/4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0164967 rounded to four decimal places?\nAnswer: 0.0165","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:01 AM and 3:01 PM?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 0\/((-9 - -13) + (-26 - -1)\/5). Let c(f) be the second derivative of i*f**2 - 43*f + 0 - 1\/6*f**3. Let a(m) = 7*m. Determine c(a(w)).\nAnswer: -7*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -w - 2*r = -5, -r + 3314 = 2*w + 3310 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 134061308687 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let k(i) = -i**3 + 44*i**2 - 34*i - 217. Let c be k(43). Calculate the greatest common factor of c and 50.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 62 - 33. Let z = p + -27. Let l be (-24)\/(-11) - 12\/66. Solve -l*w - z*w + 13 = -v, -5 = -5*w - v for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 103197 is divided by 264?\nAnswer: 237","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 9*c - 12*c = 3 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*k - 39 - 261 = 0. Calculate the least common multiple of 10 and k.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-8)\/(-54)*15\/(-10)*1\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 30 + -27. Factor -56\/9*h - 16\/9 - 2*h**l - 20\/3*h**2.\nAnswer: -2*(h + 2)*(3*h + 2)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(n) = -13*n**3 + 4*n**2 + n - 3. Let j be ((-15)\/(-6) - 3)*4 - 0. What is the remainder when x(j) is divided by 39?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 13*i - 13 = -65. Let o(q) = q**2 + 10*q + 27. Let c be o(i). Solve 0 = -p - 0 - c for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 19684, 78732, 177146, 314926, 492072, 708584?\n\"Answer: 19683*v**2 - v + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 32.491 - 32.511. What is the third biggest value in -1, 15, y?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 18934237664 - -1.\nAnswer: 18934237665","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 10.1751042 rounded to 2 dps?\nAnswer: 10.18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let a(v) = -v - 1. Let s(x) = -4*x - 2. Let k(o) = -4*a(o) + 2*s(o). Let f(i) = 2*i**2. Give k(f(q)).\nAnswer: -8*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*z - u - 293 = 2*z, 3*u + 171 = 3*z. Suppose i - 5*w - 256 = 0, -5*i = 26*w - 29*w - 1192. Calculate the greatest common divisor of z and i.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -24 + 56. Calculate the highest common factor of f and 80.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -i - 12 = -5*n, -2*i - n + 9 = -0*i. Suppose -i*y + 2*g = -48 - 43, -3*g + 45 = y. Suppose -p + y = 13. What is the tens digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 93\/586 and -89\/14?\nAnswer: 4102","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-6)\/2105*465\/279. Is -1 != q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 4*d - 4*d - d + (1 - 3 - 2*d + 0)*(7 + 10 - 42).\nAnswer: 49*d + 50","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -s + 5 = 0, 2*b - 5*b = 5*s - 22. Let a be (-8)\/(b - (5 - 4)). Solve 25 = a*w + 5*p, -7 = -w - p - p for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0 divided by 395353.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -10776 = 4*p - 4*w - 10812, -w = -5*p + 9 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-19)\/((-19)\/(-6))*(-2)\/2.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 4  (b) -0.3  (c) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1188860.\nAnswer: 2, 5, 59443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let v(i) = -2*i**2 + 3*i - 2. Let l be 120\/(-36)*2\/(-5). Let s(j) be the first derivative of -l*j**3 + 5\/2*j**2 - 3*j + 1. What is -3*s(k) + 5*v(k)?\nAnswer: 2*k**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.3?  (a) 1\/6  (b) 1249  (c) 1  (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -22688844, -45377678, -68066514, -90755352, -113444192, -136133034, -158821878?\nAnswer: -181510724","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Round -1278.11 to the nearest 10.\nAnswer: -1280","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {h: 5, u: 8, y: 2}. Give prob of picking 2 y and 1 h.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let p(h) = 2*h. Let d(i) be the second derivative of -i**5\/60 + 5*i**2\/2 + 6*i. Let r(o) be the first derivative of d(o). What is p(r(q))?\nAnswer: -2*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -516 = -3*n + 5*w, -17*n + 2*w + 702 = -13*n. What is the remainder when n is divided by 39?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -20*w = -5796 + 1656. What is the hundreds digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 30 + -32 - (1 - 11) - 0?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -b3 (base 16) to base 11\nAnswer: -153","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many micrograms are there in 47\/4 of a milligram?\nAnswer: 11750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s(n) = -31*n - 269. Let y be s(-17). Solve y*q - 261*q = -3 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 62.076 + -62. What is s rounded to two decimal places?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(p) = p**3 + p**2 - 29*p - 6. What is g(5)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*t - 4 = 0, 4*k - 11*t + 6*t - 22 = 0 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Convert 41.64913cm to kilometers.\nAnswer: 0.0004164913","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round 3158769.1 to the nearest 1000000.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Determine y so that 4*y**2 - 80168016*y + 401681924336016 = 0.\nAnswer: 10021002","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 52713?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2 in 3\/2, -153, 5, -5\/4?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 557 is divided by 35?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -993290 - -993290.401061. Let g = t - -183.685939. Let x = g - 184. Round x to two dps.\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, -3, -49, 20 in decreasing order.\nAnswer: 20, -3, -5, -49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is seven quarters of a hour in seconds?\nAnswer: 6300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t(y) = 4*y + 34. Let j = -29 - -21. Let q be t(j). What is the units digit of (-3 - (-50)\/6)\/(q\/45)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 251909791?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Express 98*d**2 - 29*d**2 - 3*d + 3 - 7*d**3 - 71*d**2 - 4*d**3 as q*d**2 + z + p*d + r*d**3 and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c**(7\/5))**(4\/5)\/(c*c**36*c*c*c\/c**18*c) assuming c is positive.\nAnswer: c**(-547\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let s(j) = -j**3 + 9*j**2 - 8*j + 27. Let i be s(8). Calculate the least common multiple of 20 and (i - -1) + -3 - (-2 + 5).\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 358 and 5549?\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 45933237 and 83619?\nAnswer: 4401","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 5 and -33*(32\/(-40))\/((-6)\/10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(m) = -21*m + 10. Let q be h(-3). Solve 0*p**2 - q*p**3 + 4 + 65*p**3 + 16*p**2 - 8*p**5 - 20*p**4 + 16*p = 0.\nAnswer: -1, -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 552 minutes before 5:14 AM?\nAnswer: 8:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 1655, 3191, 4723, 6251, 7775?\n\"Answer: -2*u**2 + 1542*u + 115","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort 173, 4, 0, -1, -156, -4, -16.\nAnswer: -156, -16, -4, -1, 0, 4, 173","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -18*a + 132 = 26*a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 6824524073 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -32 + -1?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 11110024?\nAnswer: 2, 107, 12979","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(28)\/sqrt(4) + -3 - sqrt(7))*2 - sqrt(77)\/(sqrt(11) + (sqrt(99) - sqrt(11)))*6)**2.\nAnswer: 24*sqrt(7) + 64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 136621 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 635?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand (12 + 0 + 12)*(-2*j + 0*j + 0*j) + 7*j + 8*j - 41*j.\nAnswer: -74*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 10938, 10940, 10942?\nAnswer: 10944","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y(x) be the third derivative of x**6\/180 - x**5\/90 - x**2 - 3916*x + 2. Factor y(c).\nAnswer: 2*c**2*(c - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*s + 465 = 449. Solve 2*r + s*d - 8 = 4*r, 0 = -5*d for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(w) = 16*w**2 + 2*w - 1. Let a be (5 + 0)*((-112)\/(-35))\/16. What is z(a)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/50 of a litre in millilitres?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.0786 + 0.\nAnswer: 0.0786","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.2849 rounded to two decimal places?\nAnswer: -0.28","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -28 - -55. Let a = 23 - o. Sort 0.01, 1\/8, 0.1, a in descending order.\nAnswer: 1\/8, 0.1, 0.01, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 29 - 51. Let j = 17 + k. Put 3, 0, j in decreasing order.\nAnswer: 3, 0, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine z, given that -z**2 - 65*z + 66 = 0.\nAnswer: -66, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let f(j) = -j. Let t(g) = -62*g**2 - 2. Determine t(f(d)).\nAnswer: -62*d**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -1566, -1711, -2088, -2811, -3994, -5751, -8196?\n\"Answer: -19*k**3 - 2*k**2 - 6*k - 1539","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (0 + 2 + 0)*(3*p - 17*p**2 - 3*p)*(-2 - 4 + 3) + 103*p**2 - 31*p**2 + 56*p**2 to the form a + h*p + k*p**2 and give k.\nAnswer: 230","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let z(k) = 2*k**3 - 20*k**2 - 20*k - 4. What is z(11)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let j(n) = -2*n + 6. Let f be j(4). Which is bigger: -2\/3 or f?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, 21\/5, 12 in increasing order.\nAnswer: 21\/5, 5, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 3937805 and 890.\nAnswer: 445","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-68)\/(-22) - 2 - 1. Let q = 67.4 + -66.9. Sort 1, q, d in ascending order.\nAnswer: d, q, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 41902, 83817, 125732?\n\"Answer: 41915*l - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m(l) = -9*l - 3. Suppose 22 - 14 = -o. What is the units digit of m(o)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*z + z - 4*v = -38, 2*z = v + 40. Calculate the lowest common multiple of 16 and z.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(153)\/(-1*sqrt(9)*2).\nAnswer: -sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -26, -54, -96, -158, -246, -366?\n\"Answer: -d**3 - d**2 - 18*d - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a(z) = z**3 + 11*z**2 + 14*z - 26. Calculate a(-3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 738025?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 28 = h - 5*w, 436*w - 430*w + 64 = 5*h for h.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 274.0358 + -0.0358. Let o = t + -276. Which is the third smallest value?  (a) -4  (b) o  (c) 2.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((s\/(s**(2\/13)\/s))\/(s\/s**(2\/43)))\/(s*s**(-1\/7)*s**(-7\/8)))**(-40) assuming s is positive.\nAnswer: s**(-142515\/3913)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2 + 14*w - 2 - 11*w to x*w + g and give x.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*x + 480 = 9*k + 506, -5*k - 40 = 4*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Total of 8729 and 0.4.\nAnswer: 8729.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let z be -15*(-4)\/(-18)*(-72)\/40. Let o(t) = 7*t**2 + 6*t - 6. Let d(b) = 8*b**2 + 7*b - 7. Suppose -7*u - 162 = -113. Calculate u*o(s) + z*d(s).\nAnswer: -s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*m = 3*m + 8. Let b = -18 + 25. Which is greater: b or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 64\/5 of a hour in minutes?\nAnswer: 768","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put together 3 and -920931.\nAnswer: -920928","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4511203.\nAnswer: 1579, 2857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 19 a factor of 639947?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let c(m) = m**2 - 3*m + 3. Suppose 4*g = -2*q - 10 + 4, 3*q + 3 = -4*g. Let l be c(q). Suppose -l*v + 16 = v. What is the remainder when v is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1156850 (base 11) to base 16\nAnswer: 1ebe6a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m(t) = -6*t - 39. Determine m(-7).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 20034 and 6?\nAnswer: 20034","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 664 minutes after 10:12 PM?\nAnswer: 9:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*i + 0 = -z - 8, 0 = i - 3. Let y be 0\/(-3) - (0 + (-85)\/(-246)). Let u = 1\/82 + y. What is the closest to u in z, -0.1, 5\/3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1755799?\nAnswer: 1755799","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-6)\/(1 - -1))\/(((-10557)\/(-356592))\/(12\/38))?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -47\/40 and 3\/(-12)*46*(-13)\/26.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.1 in -10\/11, -7, -1.3, 1\/5, 2\/17?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -56 - -2124566?\nAnswer: 2124510","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -46369026 divided by -702561.\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8 = -4*p + 2*p. Let s = 18 + -16. Find the third derivative of -2*n**s - 2*n**4 - 3*n**4 + 6*n**p wrt n.\nAnswer: 24*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z**(1\/11)\/z**7)\/(z\/z**13*z**16) assuming z is positive.\nAnswer: z**(-120\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let a(k) = k**2 + 7*k + 3. Let r be a(-7). Suppose -r*u - 48 = 3*y, 2*y - 5*u + 0 = -67. Let l = -7 - y. Does 14 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -3 + (-4 + 10 - 0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 8*h + 4 - 20. Suppose 5*w + s + h*s - 6 = 0, 4*w = -5*s - 3. Let a(u) = -u**2 + 4*u + 3. What is a(w)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*s + f = 3459, 2*s - 3992 + 532 = -2*f. Suppose -r + 4*w + 433 = 5*w, 4*r = -w + s. Does 27 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Do -12206 and -12206 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 28714849 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -381 + 385. Let u(v) = 2*v**2 - v**2 + 0*v**2. Let q(z) = -2*z**3 - 2*z**2. Determine j*u(i) + q(i).\nAnswer: -2*i**3 + 2*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let f(m) be the second derivative of -m**6\/120 + 3*m**5\/40 - 47*m**4\/8 - 43*m**3\/6 - 172*m. Let w(z) be the second derivative of f(z). Differentiate w(v) wrt v.\nAnswer: -6*v + 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 80658 is divided by 172.\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w**(1\/3)\/w)**47*w\/((w**(1\/4)*w*w)\/w)*w\/(w**(-6\/5)*w) assuming w is positive.\nAnswer: w**(-1823\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -28776692, -28776690, -28776688, -28776686, -28776684?\n\"Answer: 2*m - 28776694","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d(v) = 10*v**2 - 4*v - 17. What are the prime factors of d(-6)?\nAnswer: 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 0.08 and -0.3818?\nAnswer: 0.4618","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 86 + -75. Let m(o) = -o**3 + 10*o**2 + 18*o + 3. Let w be m(h). Suppose -6*b - 2*b = -w. Does 4 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.0202*-1.\nAnswer: 0.0202","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in 14.39341 grams?\nAnswer: 14393410000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 51.78 - 52. Let m = o + -0.08. Put m, 2\/17, -4, -5 in increasing order.\nAnswer: -5, -4, m, 2\/17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 56\/20 - (-1)\/5. Suppose 5*y + 5*d = 55, 29 = 4*y - 2*d + 3*d. Let h(s) = -1 - 3*s**2 + 5 - y*s + 7*s**2 - 3*s**2. Determine h(l).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3 - 2.1224829.\nAnswer: -5.1224829","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -24*c - 1 = -25*c. Is 15 a factor of (0 - (-6)\/(-3))\/c*-75?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 2 - 1.7. Let x = 0.144 + -0.044. Which is the second biggest value?  (a) x  (b) -0.5  (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 6752 + -83?\nAnswer: 6669","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 13\/39 - 16\/(-6). Suppose 0 = -v*d - 9 + 30. Let h(i) = -i + 12. What is the remainder when 17 is divided by h(d)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((12\/40)\/(7\/35))\/((-21)\/224)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 22 and -1 + 3 + (12 - -4).\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(m) = 5*m + 5. Suppose 2*t + 6 = 0, 5*x - 3*t = -2*t + 18. Let h be 1 + -2 - (0\/(-1) - x). List the prime factors of b(h).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-13)\/(-5) + (-2 - 0). Suppose 6*t - 3*t = 5*l + 29, l = -3*t + 5. Which is the third smallest value?  (a) 0  (b) t  (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 159308506 to the nearest integer?\nAnswer: 12622","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is -40032 (base 8) in base 15?\nAnswer: -4ce0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.1?  (a) -23  (b) -2\/13  (c) 2\/13  (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 0.10869 and -659400888?\nAnswer: 659400888.10869","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 48240 less than 49125?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -277\/4 + 69. Suppose -3*k = -7 - 8. Let j be ((-429)\/(-18))\/(-11) + 6\/9. What is the closest to w in 0.2, j, k?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 1.9 + -10.9. Let g = m + 10. What is the closest to -1 in 3, -0.1, g?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.01 in -1\/4, 3\/5, 0.4, -679?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 29\/5 of a millennium in months?\nAnswer: 69600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 527985 is divided by 527959.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: 3 (base 9) to base 14\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in 1\/4, -1\/2, 0.1, -303, 1, 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let u(k) = 489*k**4 - 4*k**3 + 4*k - 134. Let i(n) = 1467*n**4 - 11*n**3 + 11*n - 403. Let f(v) = -4*i(v) + 11*u(v). Find the first derivative of f(g) wrt g.\nAnswer: -1956*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 329 is divided by 69.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 94069?\nAnswer: 19, 4951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let a(o) = -4*o + 1. Let y(t) = 7*t + 238 - 120 - 120. What is 5*a(c) + 3*y(c)?\nAnswer: c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00448191 to 3 decimal places.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: -0.05+1.805947\nAnswer: 1.755947","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (7\/((-42)\/15))\/(5\/(-4)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -273*u**4 + 44002*u**3 + 183907595*u**2.\nAnswer: -6552*u + 264012","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Find k, given that 2\/19*k**2 + 72\/19*k - 8 = 0.\nAnswer: -38, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -61*i = -54*i - 14 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-4*(-1 + 1 + -1 + sqrt(343) + 3 + sqrt(343)) + 0)*5)**2*6.\nAnswer: 134400*sqrt(7) + 3302400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.06010996 and 81.\nAnswer: 4.86890676","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-18)\/(-28)*11\/(2376\/63).\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 155907995 to the nearest integer?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 5042085?\nAnswer: 3, 5, 29, 67, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1031*m = -1030*m - 12. What is the least common multiple of 594 and m?\nAnswer: 1188","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 91 divide 3606057?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.3 - 116044.\nAnswer: -116044.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let r(w) = 9*w - 54. Let q be r(6). Suppose q = -m + 6*m - 195. What are the prime factors of m?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose g + g - 5*o + 3016 = 0, -4*o = 4*g + 6060. Let v = g - -2532. Let h = -4047\/4 + v. Calculate the common denominator of -149\/6 and h.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 290318168.\nAnswer: 2, 7, 5184253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-t + t - 2*t)*(3*t + 0*t + 0*t) - 3*t**2 + t**2 + 3*t**2)*(-1 - 1 - 2 + (2 - 2 + 2)*(2 + 3 - 3) + 0 + 4 - 2).\nAnswer: -10*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is three fifths of a centimeter in micrometers?\nAnswer: 6000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*-1*sqrt(84)*-1)\/(-4*(sqrt(252) - (sqrt(252) + (sqrt(252)*-2 + sqrt(252) + sqrt(252) - sqrt(252))))*-2).\nAnswer: sqrt(3)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3554 = 7*a - 1143. List the prime factors of a.\nAnswer: 11, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -105 + 105. Suppose l = -r*l + 81. What is the units digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 163 a factor of 205461989?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.09?  (a) -8  (b) 1\/2  (c) 1  (d) -6\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 31\/2 of a millennium in centuries?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w(b) = -b**2 - 12*b + 5. Let o be w(-12). Let v = -137 + 141. Solve 0 = m - 2*j + 14, -o*j + v*j = -m - 9 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 351 is divided by 67.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 835 is divided by 59?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 120666 to the power of 1\/2, to the nearest integer?\nAnswer: 347","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 12522.\nAnswer: 2, 3, 2087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -475367, -950762, -1426157?\n\"Answer: -475395*m + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 105 is divided by 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is (-7 - -1)\/(6\/(-3)) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 6 - 6. Suppose 3*c + 2*c - 50 = a. What is the highest common factor of 100 and c?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -67, 408, 1199, 2306, 3729, 5468?\n\"Answer: 158*d**2 + d - 226","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 199679165?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 4601992298?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 3576170982?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 253*s + 244*s - 5*c + 28 = 495*s - 4*c, 3*s - 448 = -121*c for s.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 151, 234, 317, 400, 483?\nAnswer: 566","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -1259 (base 14) in base 16?\nAnswer: -c8f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n(t) be the second derivative of t**8\/1680 + t**7\/210 + t**6\/60 + t**5\/30 + t**4\/24 + t**3\/6 - t. Let q(l) be the second derivative of n(l). Solve q(j) = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (11 - 468452457\/225) + (-2)\/25. Round r to the nearest ten thousand.\nAnswer: -2080000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 10?  (a) -0.4  (b) 87  (c) -4  (d) -1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 2\/6 + (-11)\/(-3). Suppose -2*z = z - 18. Let f be (10\/(-25)*1)\/((-1)\/5). Solve -f = -p*q + z for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-2)\/((-2125)\/175 + 12)\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 396919 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Express ((-2 + 2 + 1)*(3*y - 3*y - 2*y) + 1 - 1 - y + (3*y + 2*y - 3*y)*(0 - 3 - 9))*(-2*y + 4 - 4) in the form n*y**2 + a*y + t and give n.\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1?  (a) -0.089  (b) 13  (c) -16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -94239*q**2 + 321 + 2064 + 97738*q**2 wrt q?\nAnswer: 6998*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 59328 less than 59333?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {g: 3, q: 2, n: 6, i: 2}. What is prob of sequence nqg?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -15900 + 15900.007389. What is s rounded to 5 decimal places?\nAnswer: 0.00739","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*f + 5*f + 5*k = 19, 0 = -4*f + 3*k + 6 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let y(c) = 143*c**2 + 21*c + 28. Let n(j) = -145*j**2 - 18*j - 21. Let d(v) = 4*n(v) + 3*y(v). Let b(m) = m**2. Give d(b(f)).\nAnswer: -151*f**4 - 9*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: -35 divided by -3\nAnswer: 35\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((1845\/6)\/5 - -3) + (-6139)\/1754?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*k - 3*b - 17 = 1, k + b = 2. Solve 16 = 4*z - k*x, -2*x = -z + 3*x + 20 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -116592 divided by 1\nAnswer: -116592","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 342*(-42)\/1008 - 15\/(-1). Factor -3*b**2 + 0 - 15\/4*b + c*b**3.\nAnswer: 3*b*(b - 5)*(b + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*p + b = -39, -13*p + 8*p - b + 31 = 0. Suppose 0 = 2*y - 3*y + 4. Solve -p + y = 3*j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(m) = -125*m - 1492. Give q(-12).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 47444 + -66?\nAnswer: 47356","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -640 - -643. Let l(s) = 10*s**2 + 4*s - 6. Let w(r) = 9*r**2 + 3*r - 5. Give y*l(m) - 4*w(m).\nAnswer: -6*m**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 13 = -2*i + v, 5*i - 6*v + 45 = -v. Let q be (-12)\/(-36)*3*i\/(-2). Find k such that -6*k**q - 3*k**5 - 34*k + 3*k**4 + 37*k + 3*k**4 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:02 AM and 1:17 PM?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 3 + -4 + (-4 - -3) - -3.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d(s) = -34*s + 10. Let f be d(-7). Suppose -33 = x - 4*x + 5*m, 5*m + 45 = 5*x. Suppose x*g = 10*g - f. What are the prime factors of g?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1583 is divided by 526.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:32 AM and 10:58 AM?\nAnswer: 266","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -10.7 - 3.3. Let s = -538.71 + 525. Let r = d - s. Round r to one decimal place.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1044*v - 28 + 9 - 22.\nAnswer: -1044*v - 41","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -2199\/2 + 15385\/14. Which is the nearest to -0.1?  (a) u  (b) 3  (c) 232\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2373 times -26.245?\nAnswer: 62279.385","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*p**2 + 4*p**3 - 2*p + 17*p**2 + 14*p + 4.\nAnswer: 4*(p + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 599474182.\nAnswer: 2, 299737091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let t(g) = 2*g - 13. Let n be t(9). Suppose 21 = d + 25. Sort d, 2, n, -2 in ascending order.\nAnswer: d, -2, 2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from cnlncllvcclccncnnnll. Give prob of sequence cnc.\nAnswer: 7\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 39 or -23345?\nAnswer: -23345","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*m - 57 = 5*i - m, -2*m - 35 = 3*i. Let o(t) = -8*t**2 + 5*t + 3. Let l(q) = -3*q**2 + 2*q + 1. Determine i*l(x) + 4*o(x).\nAnswer: x**2 - 2*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 256986 = -3556*l - 1203*l for l.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let l(s) = s**3 + s**2 - 5. Let w(i) = i**3 - 3. Suppose 8*d - 61 = 59. Suppose 238*h = 241*h + d. Give h*w(r) + 3*l(r).\nAnswer: -2*r**3 + 3*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 183115890 rounded to the nearest 1000000?\nAnswer: 183000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {q: 2, t: 2, y: 1, o: 1}. What is prob of sequence yot?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 85 - 70. Calculate the remainder when (-4 + 50\/j)*34*-3 is divided by 1 + 11\/(-2)*-4.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 2083696385?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1515 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 560*x = 576*x + 96 for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 7913*j**3 - 3094*j**2?\nAnswer: 47478","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -72*j**3*q**3*w**3 - 428*j**3*q**3*w + 94637*j**3*w**3 + 24*j**3*w - 21*j*q*w - 8*q*w**2 wrt w?\nAnswer: -432*j**3*q**3 + 567822*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*g**4\/13 - 52724*g**3\/13 + 463373640*g**2\/13 - 1358302034416*g\/13 + 5425797533248\/13.\nAnswer: 2*(g - 8786)**3*(g - 4)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 2\/5  (b) -0.1  (c) 0.48  (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let k(t) = t**3 + 16*t**2 + 16*t + 7. Give k(-15).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let v(d) = -d**2 - 14*d + 10. Let u be v(-15). Put u, -2\/7, 1\/9 in ascending order.\nAnswer: u, -2\/7, 1\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 8\/3*6\/8. Let f = -4 + 11. Let g = f - 6. Solve -g = x*k - 9 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 248347 and 1947.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 28721, 57354, 85987, 114620, 143253, 171886?\n\"Answer: 28633*y + 88","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -24.9137 + 0.0137. Let w = k + 25. Which is the nearest to w?  (a) -2\/11  (b) -1  (c) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -1239 - -790. Let g = d - -449.24. Which is the third biggest value?  (a) 0  (b) g  (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(x) = -x**2 + 6*x + 82. Determine q(12).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 42678 is divided by 91.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let w(o) = 13*o**2 - o. Let z(v) = -v + 19. Give w(z(g)).\nAnswer: 13*g**2 - 493*g + 4674","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.06 take away 124968727819?\nAnswer: -124968727818.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1 + (-8 - -6 - 1).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o(d) be the third derivative of -d**6\/360 - d**5\/60 - d**4\/24 - d**3\/6 + 6*d**2. Let z(u) be the first derivative of o(u). Find i such that z(i) = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -34*l - 259 = 2*s + 37, -8*s + 49 = -l for l.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -17 + 18.5. Let f = 1.2 - i. Is -0.1 less than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-13 - -24) + -34 - -8?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k(s) = -s**3 + 5*s**2 + 7*s - 10. What is k(6)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -110 + 115. Let o = -5 - -1. Which is the second smallest value?  (a) o  (b) 1  (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -13, -63, -145, -259, -405, -583, -793?\n\"Answer: -16*r**2 - 2*r + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r(o) be the second derivative of -5*o**4\/6 + 5*o**3\/6 + 71463*o. Let s(t) be the third derivative of -t**4\/24 + t**2. What is r(h) + 5*s(h)?\nAnswer: -10*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -66*u**3 - 162*u**2 - 13*u**3 - 23*u**3 + 163*u**2 + 8*u**3.\nAnswer: -94*u**3 + u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -y = m - 588811, 2*y - 1792141 = -3*m - 614521. Let g = 413505 - y. Let i = 275308 + g. What is i rounded to the nearest 10000?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, 8, -0.1, -0.03, 611, -0.5 in increasing order.\nAnswer: -3, -0.5, -0.1, -0.03, 8, 611","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 182 and 63.\nAnswer: 1638","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 9 + 10. Let k = -9 + g. What is the units digit of (-2 + k\/4)*98?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (1\/2)\/((-2)\/8). Let l be (-2)\/n + (3 - -40). Suppose 4*v = 2*v + l. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: 4111 (base 5) to base 12\nAnswer: 383","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose b - 3*i = -5, 3*b - 3*i + 4*i = 15. Solve -m - b = -2 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -43*u + 87 - 1635 = 0. Let t be (u\/(-504))\/((-2)\/8). What is the biggest value in 10\/11, 2\/15, t?\nAnswer: 10\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 7\/4 of a tonne in kilograms?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m(c) = -663*c. Let q(o) = 5255*o**2 - 2630*o**2 - 2626*o**2. Determine m(q(g)).\nAnswer: 663*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: -2407a (base 12) to base 5\nAnswer: -3022403","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert -3 (base 16) to base 7.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*f + 5 = -3*a, -3*f - 2 = -a + 15 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 144072 is divided by 113.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let m(f) = f + 6. Suppose 3*v = -2*u - 19, -3 = 3*v + u + 11. Determine m(v).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*x = -4 - 28. Let k(u) = -17*u**2 - 1 - 6 + 18*u**2 + 5*u - 11*u. List the prime factors of k(x).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 20067721 and -0.1.\nAnswer: -2006772.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 5\/(-2) - 2195\/(-870). Let y = q - 51\/116. Which is greater: y or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 15780 and 4226410.\nAnswer: 25358460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-6)\/4 + 2)*-4.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 38870 and 299.\nAnswer: 299","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 f when two letters picked without replacement from ffpf?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: -24 divided by 4711\nAnswer: -24\/4711","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -170*n + 141*n = 493. Is n at most 9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 6.1788078 to 1 decimal place.\nAnswer: 6.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 22 - 1. Let j = 37 - h. Let v = -16.0099 + j. What is v rounded to three dps?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v**(-6)\/v**(2\/5))**(-1\/24) assuming v is positive.\nAnswer: v**(4\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*s = 12*f - 13*f + 4, 0 = 2*f - 8 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1.5, 2\/11, 8, -0.2, 2\/317.\nAnswer: -1.5, -0.2, 2\/317, 2\/11, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 11266731?\nAnswer: 3, 7, 43, 4159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let r(b) = b + 7. Let v be r(6). Let i(j) = -6*j + 81. Let o be i(v). Solve -7 = -2*z + o for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -1012825902 + 17582657707411\/17360. Let i = -275\/217 + o. Find the common denominator of i and 27\/100.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 2\/(-3)*(5 + -14)*3. Let q(u) = u - 15. Let x be q(g). What is the units digit of x\/(-3)*(2 - 165)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -250 - -365. Let g = z + -115.2. Suppose -u + 19 = 5*h, 0*u - h - 19 = 4*u. What is the smallest value in 2, u, 0.2, g?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 6*1\/2 - 33. Let m be 3\/((o\/4)\/(-5)). Suppose d - 2*d + 4 = 0, m*d - 398 = -5*g. What are the prime factors of g?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(o) = -19*o**2 + 13*o + 2. Let a(j) = -9*j**2 + 6*j + 1. Let p(k) = -13*a(k) + 6*q(k). Let n be p(1). Solve t - n = -t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, -3, -4, 97, 1.\nAnswer: -5, -4, -3, 1, 97","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -81\/20 and 194*(-3 - (-56670)\/18888).\nAnswer: 15740","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(v) = 2*v. Let l be -1*(-2 + -1)*1. Let m(a) = 5*a - l*a - 4*a - 4*a. Give m(z(w)).\nAnswer: -12*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 94576?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.03534094 rounded to 4 decimal places?\nAnswer: 0.0353","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -1462*n**4 - 118*n + 3?\nAnswer: -17544*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*o - 7*l + 9*l + 52 = 0, 3*o + 3*l = 72. Let b = 235 + o. Does 51 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 1\/301  (b) -1\/56  (c) -0.5  (d) 1\/2  (e) 1\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 293 + -314.19. Round a to the nearest ten.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (5 - 3)\/(72\/540)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*d**2 - 4*d = 0 for d.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -10307, -10356, -10405, -10454, -10503?\n\"Answer: -49*q - 10258","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 219344033 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 114 - (130 - 72 - 10)?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (246\/(-6232))\/((-3)\/(-8))?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-2 - 1\/(-2))\/(1131\/4). Let s = 3756\/2639 - q. Factor -s*g - 8\/7*g**2 - 2\/7*g**3 - 4\/7.\nAnswer: -2*(g + 1)**2*(g + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 88 divided by -22.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 2*h**4 + 204*h**3 - 4*h**2 - 113 wrt h?\nAnswer: 48*h + 1224","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0009507 to three decimal places.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: 5762328 divided by 4818\nAnswer: 1196","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 42\/4*16\/6. Suppose -2*z + 5*m - 8 = -33, -4*z + 17 = m. Suppose 6*n - n = 10, z*v - c = -4*n. Solve 0 = -q - 0*q - v for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find l, given that -8*l**2\/11 + 5174898*l\/11 - 1293724\/11 = 0.\nAnswer: 1\/4, 646862","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-g + 2 - 2)*((-2 + 2 + 2)*(-2 + 4 + 0) + (-2 + 4 - 1)*(-2 + 0 + 0)).\nAnswer: -2*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let j(h) = 2*h**2 + 47*h - 30. Let i be j(-24). Let z(q) = -6*q + 3. Let r(p) = -7*p + 3. What is i*z(u) + 5*r(u)?\nAnswer: u - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let h(l) = -37*l + 2. Let g be h(-1). Let r = -39 + g. Let c(y) = -y + 5 - 6 + r*y + 6. What is c(-4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 130*h - 42*h = 37*h - 1581 for h.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 35 (base 11) in base 9?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0551699 rounded to 4 decimal places?\nAnswer: 0.0552","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.7, 0.223123, -46 in decreasing order.\nAnswer: 0.7, 0.223123, -46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {r: 2, y: 1, x: 3, s: 4}. Give prob of sequence ss.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Put 16, 1\/102, 30.3 in decreasing order.\nAnswer: 30.3, 16, 1\/102","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 1\/24 greater than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 575594 is divided by 244.\nAnswer: 242","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let v(o) = 2*o + 44. Determine v(-18).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: 46.1 times 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 - 1 + 5*c + (1 - 3 + 1)*(2 - 2 - 2*c))*(26 + 41*c**3 + 0 - 24).\nAnswer: 287*c**4 + 14*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 19 - -1?\nAnswer: 1a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.125 and 5.\nAnswer: -0.625","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: 0 + (-10 - 171\/(-18))\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is (96\/(-20))\/((-180)\/(-600))?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i(k) = k. Let s be 8\/12 - (-14)\/(-3). Let t(v) = -v**3 - 3*v**2 + 3*v - 1. Let a be t(s). Let h(j) = -3*j + a*j + 2*j. Calculate i(h(q)).\nAnswer: 2*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 365 + -359. Let g(m) = -16*m + 102. Let l be g(v). Solve -t + l*p = p + 25, 3*t - 4*p = -20 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (73\/7 - 1)\/(9\/(-63)). Let r = 84 + l. Solve -5*q + q = 2*f - r, -3*q - 14 = -4*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 367 minutes after 12:49 AM?\nAnswer: 6:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let n be -9*2*8\/(-16). Solve 3*l = n*l + 6 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*z = -103 - 117. Let n = z + 106. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {g: 1, w: 1, r: 1, d: 10}. What is prob of picking 1 w, 1 g, and 1 r?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Divide -11319 by 539.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Are -82572425 and -82572425 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:12 AM and 4:50 PM?\nAnswer: 458","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 1171453538 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1131*v**2 - 5625339 + 5625339.\nAnswer: -1131*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 1039 - 2250. Let q = 1904 + h. Is q a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 7 - 4. Let z(t) = -2*t**2 + 14*t - 8. Let s be z(6). Suppose -8*i = -4*p - l*i - 4, 3*i + s = 4*p. Solve -d = -m + 4, p*d + 18 = -d + 4*m for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 331822?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5*m - 23*m + 11*m.\nAnswer: -7*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let s(d) = -3*d. Let h(j) be the second derivative of j**4\/12 + 3*j**2\/2 + 3*j. Let m(i) = -1. Let f(w) = -h(w) - 3*m(w). Calculate s(f(q)).\nAnswer: 3*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: 730 (base 10) to base 16\nAnswer: 2da","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 2\/7, -5, -95?\nAnswer: -95","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.2 + -471227.39507?\nAnswer: -471227.19507","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 827*w + 4*q = 829*w - 28204, 0 = 4*w - q - 56422. What are the prime factors of w?\nAnswer: 2, 3, 2351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (4 - (-1 - -3)) + -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-3 + sqrt(12)\/sqrt(4) + sqrt(6)\/(sqrt(6)\/sqrt(3)))*5)**2.\nAnswer: -300*sqrt(3) + 525","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 16529701 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -365 - -363. Sort -29, f, -4.\nAnswer: -29, -4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -211 + 349. What are the prime factors of f?\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -33 = r - 4*r. Let q = 19 - r. List the prime factors of q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*s - 4*a + 45 = -a, a = -4. Calculate the remainder when 73 is divided by s.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w**13\/w*w\/(w*w\/w**(-9)))\/(w\/w**13*w*w\/w**1) assuming w is positive.\nAnswer: w**13","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -5 - -7. Suppose 10 = i*x + 4. Solve -5*w - 11 = -x*k - k, 2*w = -3*k + 14 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 17947945781 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c**(-27)\/(c\/((c*c**(-1\/6))\/c)))\/(c**16)**11 assuming c is positive.\nAnswer: c**(-1225\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 237726 or 2\/5?\nAnswer: 237726","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 16 = -100*h + 103*h - 5*r, h - 3*r - 8 = 0 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 14*r = 10*r - 5*n, -3*r - 35 = -5*n for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 73, 175, 303, 457, 637, 843?\n\"Answer: 13*y**2 + 63*y - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (0*(248\/(-48) - -5))\/(-1). Solve -16*x - 49 - 15 = s for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*b = 4*n - 435, -4*b = 3*n - 247 - 81. Suppose -28*h = -19*h - n. Solve h*g + 6 = 10*g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -y + 3*h - 15, -y + 4 = h - 1. Solve -z + 10 = -4*t - y, 5*z = 3*t + 16 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-18)\/(-81) + (-112)\/18. Let n be 1766\/(-12) - 6\/(-36). Is 13 a factor of n\/(-5) - x\/10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 32500 and 205400?\nAnswer: 1300","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -21*m + 23*m = -126. Let o = m + 379\/6. What is the closest to 0 in o, -3, -3\/2?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 588\/(-1520) - ((-10)\/12 + ((-54483)\/990)\/(-127))?\nAnswer: 1\/76","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ququuqqquucuuuucq. What is prob of picking 2 u?\nAnswer: 9\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let i(w) = -15*w**2. Let n(o) = -11*o. Determine n(i(t)).\nAnswer: 165*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 48141386?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -546  (b) -0.4  (c) 3  (d) 0  (e) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -381*g + 1316*g - 16 + 2 + 14.\nAnswer: 935*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Add -62480099 and -2.5.\nAnswer: -62480101.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -42, -92, -142, -192, -242?\nAnswer: -292","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b be -2 - -1 - (0 + -4). Suppose -14 = -5*a + 11. Suppose -5*h + 5 = 5*t, 3*h + h = -a*t + 3. Solve 3*j = -4*u - 12, -2 = h*u + b*j + 10 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = a + 4*a - 90. Let o(i) be the third derivative of i**5\/60 + i**4\/24 + i**3\/3 + 4*i**2. Calculate the lowest common multiple of a and o(-2).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -b + 14 = -2*g + 5*g, 0 = 5*b + g - 98. What is the tens digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 431*v - 3 - 1699*v + 3 in the form f*v + c and give f.\nAnswer: -1268","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: -16481.3 - 225813976\nAnswer: -225830457.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Does 168 divide 362135?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 39 + 0 = 3*q. Let c = -2 + 15. Calculate the greatest common divisor of q and c.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -86750, -173502, -260254, -347006, -433758, -520510?\nAnswer: -607262","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -6*(-4 + 5 + (sqrt(1700) - (2 + sqrt(1700))) + sqrt(1700) + -4*(sqrt(1700) + 0)**2*4) + -3.\nAnswer: -60*sqrt(17) + 163203","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -825*y = -822*y - 21*h + 141, 2*h - 10 = 2*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -618.3 - -520.64. Let i = d - -99. What is i rounded to one dp?\nAnswer: 1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(x) = -18*x**3 + 10*x**2 - 3*x + 2. Determine j(1).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 23 + -20. Suppose l*x + 48 = 7*x. Does 23 divide 2\/(-8) - -3*93\/x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 9 + 12. Suppose 0 = 15*j + 52*j - 24*j - 4042. What is the remainder when j is divided by g?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 90125, 90114, 90103, 90092?\n\"Answer: -11*r + 90136","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 46\/19 and -33\/71.\nAnswer: 1349","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from uvluvvuinnivuuu. What is prob of picking 1 v and 2 u?\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is (-46)\/(-8)*136\/7820?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 92069669 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 17072759 is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 39921 to the power of 1\/6, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((u*(u**(2\/7)*u)\/u)**14\/(u\/(u\/(u\/(u\/(u*u*u*u**(1\/3)*u))*u*u*u))*u\/(u\/(u\/(u*u**(-2))))))**(-1\/16) assuming u is positive.\nAnswer: u**(-13\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 24092 - 2364 = 716*y + 60*y for y.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2 in 1\/5, -127744, 9\/4?\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let f(c) = c + 1. Let w be (90\/21)\/(-5)*7. Let s(k) = 5*k + 5. Let n(b) = w*f(b) + s(b). Let a(j) = 7*j + 43. Let z be a(-5). Calculate n(z).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -0.02 or -4.1880444?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Product of -26.23 and -4320.\nAnswer: 113313.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence yls when three letters picked without replacement from lbbhsbbscbyccbhlhsb.\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 63*u - 31*u - 236 = -86*u. Solve s + g = -10 + 9, u*s + 8 = -4*g for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(k) = -k**2 - 2*k + 1. Let d be p(-2). Let c be -2 - (-6 + (d - 2)). Suppose 4*a + 0*a + 16 = -4*x, 0 = 3*a - c*x - 20. Is a greater than 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -52*b + 96 = -76*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 20\/(-6) - 6\/9. Let f = 6 + u. Sort -1, f, 5.\nAnswer: -1, f, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -f**3 - 3*f**3 + f**3 + (-f**2 + 4*f**2 - 2*f**2)*(5*f + 3 - 3).\nAnswer: 2*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -1*23\/(368\/80)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00500245 to 5 dps.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.1 in -2\/11, -94, 0.2, -0.06?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 9\/18*-1 - 29\/2. Is -31\/2 <= f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -1278986.4 to the nearest 1000.\nAnswer: -1279000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Convert -3a7b5 (base 13) to base 12.\nAnswer: -530a0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 40*w - 730 = -10. What is the smallest value in -13, -0.5, w, 2\/13?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(y) = -8*y - 9. Let o(n) = -n - 1. Let t(m) = -m**2 + 3*m + 6. Let w be t(3). What is w*o(r) - i(r)?\nAnswer: 2*r + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*m + 181*u + 7 = 186*u + 2, -39 = -8*u + 9 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1231032?\nAnswer: 2, 3, 11, 4663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 31242, 116673, 259058, 458397?\n\"Answer: 28477*s**2 + 2765","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 206744, 206703, 206634, 206537, 206412, 206259, 206078?\n\"Answer: -14*x**2 + x + 206757","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 6921 and 9.\nAnswer: 6921","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1*5*(-8)\/140.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is (-9 - -11) + -11 - -5 - 13?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*k**4 - 60*k**3 + 415*k**2 + 2850*k - 14000.\nAnswer: -5*(k - 5)**2*(k + 8)*(k + 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let p(h) = -h**2 + 8*h - 5. Determine p(4).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -235 - -232.3. Let p = i - -2.700255. What is p rounded to 5 decimal places?\nAnswer: 0.00026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -346 divided by 405.\nAnswer: -346\/405","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2028?  (a) 2  (b) -20.4  (c) -1\/2  (d) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 28394 = 3821*x + 61744 + 43070 for x.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1079704793?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -y - 2*c - 529 + 521 = 0, 3*c = -4*y - 27 for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.020349 rounded to 3 decimal places?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -44*x - 16284 = -6*x - 14992 for x.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 4938 is divided by 38?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 25?  (a) -34  (b) -32  (c) -5\/4  (d) -7  (e) -2  (f) 0.08\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in 61.00623 days?\nAnswer: 87848.9712","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -83\/42 and -101\/186.\nAnswer: 1302","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: (2 - 111) + 15728 + -15602\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 22\/1167 in 0.14, -0.1, 18?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:16 PM and 8:09 PM?\nAnswer: 473","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -2 - 450?\nAnswer: -452","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let v(b) be the first derivative of 22*b**3\/3 - b**2 + 209. Let m(z) = -8*z. Determine v(m(k)).\nAnswer: 1408*k**2 + 16*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Express b**3 - 4*b**2 + 4*b**2 + (47 + 3 - 6)*(-5*b**3 + 2*b**3 + 0*b**3 + (-5*b + 5*b - b**2)*(-3*b - 2*b + 3*b)) as f + u*b**2 + o*b**3 + q*b and give o.\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -9045 + 9044.5067. Round f to one dp.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2\/(8\/5 - (-5 - -7))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 46 a factor of 2702193?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: -0.02894*-0.1824\nAnswer: 0.005278656","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 69631\/10 + -6952. What is the common denominator of 2 + 4\/(-6) - 2260\/480 and i?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence mmz when three letters picked without replacement from {z: 5, m: 3}?\nAnswer: 5\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 1351681 and 24632?\nAnswer: 10813448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let s(x) = 28*x + 1. Let m be s(6). Suppose -579 + m = y. Round y to the nearest 100.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -39080, -39030, -38980, -38930, -38880?\nAnswer: -38830","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -11 + 15. Suppose -15 = -3*l + i - 2, w*i = l - 19. Suppose z = h - l*z - 5, 0 = -2*h + z + 17. What is the greatest common factor of h and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 293395*x - 139448*x - 137014*x to the form l*x + g and give l.\nAnswer: 16933","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 20 - -21410214?\nAnswer: 21410234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let h(b) = b. Let k(c) = 3*c + 17. Suppose -3*g + 4*n = 2 + 5, -3 = g - n. What is g*h(p) + k(p)?\nAnswer: -2*p + 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 848 and 689?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (((-6)\/(-4))\/((-24)\/(-388)))\/(91\/(-364))?\nAnswer: -97","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 1687, 1686, 1687, 1690?\nAnswer: 1695","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 3733 + -7?\nAnswer: 3726","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let b(g) = 4*g**2 - 2 + 12*g + 2*g**2 - 5 - 8*g + g**3. Let y = -1 - 4. What is b(y)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -50 + 50.0000155. What is a rounded to 6 dps?\nAnswer: 0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 16 + 8 + 61 + -107.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 61\/2 of a litre?\nAnswer: 30500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -62.44 - -61.8. Let c = t - -26.44. What is c rounded to 0 decimal places?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*k + 8*q = -44, -32003*q + 19 = -k - 15999*q - 16009*q for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let v(d) = -d**3 + 7*d**2 + 3*d - 18. Suppose 0*l + 7*l = 49. Let r be v(l). Find the second derivative of 27*s**r + 5*s + 202 + 7*s - 202 wrt s.\nAnswer: 162*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -3587.4 + 3587. Which is the second biggest value?  (a) -1\/10  (b) -52  (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/5 of a kilometer in centimeters?\nAnswer: 20000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 4195 <= 4199?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 34\/(-10) + (-6)\/(-15). Suppose 0 = -4*t - 0*t. Suppose -w + 5 - 1 = t. Sort 2, k, w in increasing order.\nAnswer: k, 2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15*z**4\/2 - 169*z**3 + 82*z**2 + 132*z = 0. What is z?\nAnswer: -2\/3, 0, 6\/5, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 350?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let u(k) = -30*k**2. Let n(c) = 5*c**2. Calculate n(u(f)).\nAnswer: 4500*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 2721.217l in millilitres?\nAnswer: 2721217","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -8384 and -0.4?\nAnswer: 8383.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*d = 5*w - 32, -4*d + 17 = 21. Let i(b) = -2 + 3*b**3 + 2*b + 0 + 0. Let o(z) = 10*z**3 - z**2 + 7*z - 7. What is w*i(h) - 2*o(h)?\nAnswer: h**3 + 2*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is (-2)\/((-29052)\/14517 - -2) a multiple of 155?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 4\/(-6)*(17 + -44 + 3). Calculate the highest common divisor of 1968 and w.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 2\/11379 and 29\/31950.\nAnswer: 121186350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let f(h) = 13*h**3 - 2*h - 1. Let i be (-6*(124\/(-24) - -5))\/(-1). What is f(i)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: (0 - (-2 - -3)) + (3 - 1) + (84090 - 84045)\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*c + 13 = -n, -4*c = -0*n - 2*n - 14. Let k be (n - 10\/(-6))*(-75)\/(-2225). Do 1 and k have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -111 - -131. Suppose -29 + w = -3*q. Solve g + 2 = -q for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -4491 + 4622. What is the remainder when i is divided by 42?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(w) = 2*w**2 - 25*w - 27. Let c be q(14). What is the greatest common factor of c and 120?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-286 - 566 + 125 - 64 + 36)*(2*c**4 + c**3 - c**3).\nAnswer: -1510*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let g(v) = 32 + 16 + 13*v - 48. Let s(y) be the second derivative of -5*y**3\/6 + 31*y. What is s(g(w))?\nAnswer: -65*w","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"}
{"text":"Question: Let o = 109 - 49. Suppose 36 = 7*d - 6*d. Let p = o - d. What is the remainder when 70 is divided by p?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence dg when two letters picked without replacement from {c: 1, g: 1, a: 1, d: 4, t: 1}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 330 + -165. What is the highest common factor of z and 33?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -0.51499 - -0.71499. Let l = -13 - -13.24. What is the smallest value in p, l, -5, 0.5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(o) = -o**3 - 2*o**2 + 5*o + 7. What is w(-2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 108 and 27?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1 - 100*i + 10*i**2 - 8*i**2 + 1330*i.\nAnswer: 2*i**2 + 1230*i - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -165420, -330878, -496336?\nAnswer: -661794","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -3 times -14001?\nAnswer: 42003","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 p and 2 l when three letters picked without replacement from {l: 3, a: 3, p: 2, y: 9, z: 1}?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*f + 6 = -0*f. Suppose r + 608 = -f*o, 4*o - 2*r = o - 602. Let a be 49*(o - (-2)\/1). Round a to the nearest one thousand.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 135, 267, 399, 531, 663, 795?\n\"Answer: 132*k + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 766*u - 763*u - 93 = 0. What is the smallest common multiple of 24 - u - (-322)\/2 and 10?\nAnswer: 770","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -0.0119 + 3.8719. Round g to the nearest ten.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 21637?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Round 6134273.1 to the nearest 1000000.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from dkky. Give prob of sequence yd.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 5 + -2 + 1 - (-7 + 5).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -1924 or -1925?\nAnswer: -1924","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Put 570, -1, 21, 1, 155, 4 in descending order.\nAnswer: 570, 155, 21, 4, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 4 and 30.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1011101 (base 2) to base 9.\nAnswer: -113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5*sqrt(20)\/sqrt(16) + -1.\nAnswer: -5*sqrt(5)\/2 - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (a - 5 + 5)*(561*a - 7*a**4 - 561*a + 25).\nAnswer: -7*a**5 + 25*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 16424732?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 65 - 51. Suppose -5*m - b = 26. Is 4\/(3*m\/(-11724)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -21 - -24. What is the remainder when 7 is divided by i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose z + 4*w - 77 = 0, -168*z = -169*z - w + 56. Calculate the smallest common multiple of 672 and z.\nAnswer: 4704","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence kv when two letters picked without replacement from {c: 1, a: 1, v: 1, k: 1, f: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5 + (sqrt(4500)*3)\/(sqrt(900)*1).\nAnswer: 5 + 3*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*p + 295 = -5*f, 3*f + 5*p + 8674 + 8703 = 17072 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, 5, 1, -284, 6.\nAnswer: -284, -4, 1, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {w: 4, q: 6, r: 4}. What is prob of picking 3 r?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 6 - 1\/(-2)*-4. Suppose i*o + 4*n = -0*o - 8, o + 2*n + 6 = 0. Suppose 3*z - o = 28. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be ((-3)\/(45\/(-12)))\/(2\/5). What is the second derivative of -19*w**4 - 78*w**2 + 78*w**g - 4*w + 0*w wrt w?\nAnswer: -228*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 0.0340269149 + -52.0340269749. Let o = -52 - i. Round o to seven dps.\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be ((-3)\/(-4))\/((-1)\/4). Suppose u + 6*y + 18 = 3*y, -5*y - 15 = 0. Let i be 1 + -2*l\/u. Which is the nearest to 1?  (a) i  (b) -2  (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -33124 (base 5) in base 15?\nAnswer: -a29","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*c**3 - 4*c**3 + 0*c**3)*(c - c - c) + 2*c**4 - 27 + 27 + 3 - 2*c**4 - 3 + (0*c + 0*c - 2*c**2)*(-2*c**2 + 3*c - 3*c) - 2*c - 3*c**4 + 2*c.\nAnswer: 2*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 4 and 17656.\nAnswer: 17656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand (o**2 - o + o)*(1 + 3*o - 1)*(-16 + 16 + 5*o**2).\nAnswer: 15*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*j = -c - 163 - 72, j - c - 61 = 0. Let u = j - 16. Does 14 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(t) = 10*t + 11. Let v(o) = -o - 1. Give -4*n(k) - 44*v(k).\nAnswer: 4*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 14646029 is divided by 18705?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -3 + 5. Let y be 1 + 19 + b + 1. Suppose n + 0 = -3*i + y, 0 = 2*i + 2*n - 22. What are the prime factors of i?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify k**8*(k\/(k**(-6)*k)*k)\/k*k*k*k**5*k**(-6)*k*k**(-6\/5)*k**(-1\/4)*k**(2\/3)*k**1 assuming k is positive.\nAnswer: k**(973\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 11251283?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*z - 30 = -10. Suppose 84 = -z*g + 10*g. Is g a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (9\/(9\/(-4)))\/(0 + -2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from fttwxwxtoooo. Give prob of sequence tx.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -4430, -8841, -13252, -17663, -22074?\n\"Answer: -4411*j - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v(m) = -m**2 + 11*m + 8. Let l be v(6). Suppose f + l = -f. What are the prime factors of 1\/(-3)*0 - f?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 10 + -19. Let g = 15 - v. List the prime factors of 16\/g + 28\/3.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*b - 4*b + 0*b)*(-168 + 7*b**3 + 168).\nAnswer: -14*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence pbb when three letters picked without replacement from {b: 6, p: 1, n: 1, m: 3, j: 6}.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Put -221, 3, -3, 0, 1, -149, 5 in decreasing order.\nAnswer: 5, 3, 1, 0, -3, -149, -221","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-10)\/(-25))\/(48\/(-180)).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -37804727*m**2 + 50873842*m?\nAnswer: -75609454","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 1.8217 - -29805505?\nAnswer: 29805506.8217","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let j(l) = 10*l**2 + 2*l - 4. Let b be j(1). Does 34 divide (-22)\/88 + 546\/b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 132558 or 132559?\nAnswer: 132559","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let r(m) = m**3 + 12*m**2 - 13*m - 2. Give r(-13).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let o(f) = 35*f**3 + 24*f**2 - 22*f - 17. Let v be o(-19). What is v rounded to the nearest 100000?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(p) = p**2 - 5*p - 9. Let r be o(7). Suppose -7 - 1 = -q - r*y, 2*q - 4 = 2*y. Is 2*q\/2 - -256 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(s) be the first derivative of 5 + 0*s**4 - 8\/3*s**3 - 1\/12*s**5 - 1\/72*s**6 + 0*s + 0*s**2. Let v(w) be the third derivative of o(w). Factor v(p).\nAnswer: -5*p*(p + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 78*j**3*t**3 - 2*j*t**3 + 5*t**3 - 5*t**2 wrt j.\nAnswer: 468*j*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -51 - -51.00000145. What is k rounded to six decimal places?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(p) = p**3 - 4*p**2 + 4*p - 4. Let n be a(3). Suppose -2*c = c - 90. What is the common denominator of (n\/2)\/(5\/118) and c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 8\/10 - (-7 + 6 - (-1592)\/840).\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 49 a factor of 12457532?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 14101 and 177.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -1  (b) 2\/567  (c) 0.1  (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 861242 and 674.\nAnswer: 290238554","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify t**(2\/15)\/t**(-1\/46) assuming t is positive.\nAnswer: t**(107\/690)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 301 = 4*a - 227. List the prime factors of a.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 93438*u + 19*u**3 - 93438*u.\nAnswer: 19*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -25*a**2*k**3*t + 1580*a**2*k**3 - a**2*t - a*k**3*t + a*k**3 - 983*a + k**3*t - 17*t wrt a?\nAnswer: -50*k**3*t + 3160*k**3 - 2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -1 - -1210121?\nAnswer: 1210120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2746210 is divided by 2106.\nAnswer: 2092","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 84517 - -135?\nAnswer: 84652","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"}
{"text":"Question: Let s(d) = -94*d**3 - 17*d**2 + 19*d. Let b(m) = -23*m**3 - 4*m**2 + 5*m. What is 9*b(w) - 2*s(w)?\nAnswer: -19*w**3 - 2*w**2 + 7*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let f(r) = r**2 + 3*r + 2. Let w = 66 + -33. Suppose 2*v = h - 3, -3*h - w = 2*v + 2*h. Let s be f(v). What is the greatest common divisor of 66 and s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -548494\/587 smaller than -935?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.001424 to 5 decimal places.\nAnswer: -0.00142","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.16 and -28.72.\nAnswer: 4.5952","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -t - 1 + 6. Suppose -4*w = 2*k - 306, 0 = t*w - 0*w + 10. List the prime factors of k.\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -11 - -9. Let c = 1 + -2. Which is greater: c or i?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 563117764?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 11614037 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 84\/28 + 2*-2. Let z be (48\/((-4)\/o))\/2. Suppose z*y + 3 - 21 = 0. Solve -8*g + 10 = -y*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 229018193*h**3 + 2044*h + 5078?\nAnswer: 1374109158*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*z - 9 = -3*x - 28, 0 = x + 3*z + 13 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -0.02 - -0.02. Let r = y - -6. Let b = 5 - r. What is the closest to 0 in 0.4, b, -4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*k = h - 62, 0 = -3*h + 3*k - k + 225. Is h 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 dsaadkdkksqt. What is prob of picking 2 a?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 1065711.4 - -870288?\nAnswer: 1935999.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -0.1  (b) 2\/11  (c) -0.08  (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 5 - ((-1)\/1 + 4). Suppose 4*c - 10 = -w. Is 4\/5 >= c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -4937b0 + -1?\nAnswer: -4937b1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Express -30*k**4 + 12*k**4 + 2*k**4 + 12*k**2 + 4*k + 3 + 10*k**4 + 3*k**4 as b*k**2 + y*k + z + w*k**4 + p*k**3 and give y.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 98688153 is divided by 196.\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let d(y) = 63*y**2 - y + 1. Calculate the remainder when d(-1) is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 140825628 and 62589168?\nAnswer: 563302512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-23)\/((-2990)\/156) - (-1*4)\/(-2). Which is the smallest value?  (a) h  (b) -5  (c) 2\/1609\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:11 PM and 3:25 PM?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let t(s) = -s - 1. Let b(j) = -32*j**2 + 5*j + 33*j**2 + j + 6 + 3*j. Calculate b(x) + 6*t(x).\nAnswer: x**2 + 3*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -174, -220, -276, -348, -442?\nAnswer: -564","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g(a) = 20640 + 5*a - 2*a**3 - 20643 + a**2 + 0*a**3. Let x(z) = 3*z**3 - z**2 - 9*z + 5. Determine -5*g(j) - 3*x(j).\nAnswer: j**3 - 2*j**2 + 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5 + 6*u - 2*u - 1 - 3*u.\nAnswer: u - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: -1111010 (base 3) to base 8\nAnswer: -2073","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4411405553?\nAnswer: 4411405553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-2)\/8*(-100)\/10)\/(5\/(-20)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p(o) = -o**3 + 5*o**2 - 5*o. Let y(c) = 43 + 12*c + 2*c**3 - 43 - 12*c**2. Suppose -2*h - 4*f + 8*f = 4, 0 = -4*h - 4*f - 68. Calculate h*p(v) - 5*y(v).\nAnswer: 2*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let d(v) = -8*v**3 + 6*v + 2. Let q(p) = -1 + 15*p**3 + 5*p - 23*p**3 + 3. Let y(j) = -5*d(j) + 6*q(j). Find the first derivative of y(m) wrt m.\nAnswer: -24*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(p) = -3*p + 1. Let c(q) = -82*q + 2 + 85*q - 4. Let m(v) = v - 1. Let g(t) = -c(t) + m(t). Calculate 5*g(w) - 3*h(w).\nAnswer: -w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-11)\/(-3) - 2\/3. Suppose -1 - 8 = -b*g. Solve g*k + k = 20 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 12 divide 155349?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -23*m**2 + 48*m**5 + 3*m - 3*m - 64*m**2 + 270*m**5 wrt m?\nAnswer: 19080*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 560 minutes after 1:25 AM?\nAnswer: 10:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 59.4 + -59. Let v = 0.06 + -0.2. Let r = v - -0.04. Which is the fourth biggest value?  (a) o  (b) 5  (c) r  (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(w) be the third derivative of -w**6\/1440 - w**5\/60 + w**4\/2 - 14*w**3\/3 + 286*w**2. Let t(c) be the first derivative of o(c). Factor t(n).\nAnswer: -(n - 4)*(n + 12)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) 6  (b) -3  (c) -7  (d) 20\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-1)\/((-1)\/(-6)*-2). Suppose 0 = -5*l + l + 8, 4*u = a*l + 90. What is the units digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 2050 - 2045. What is the closest to 40 in f, 2\/9, -4\/3, 1\/5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:03 AM and 11:00 AM?\nAnswer: 657","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -0.2  (b) -4  (c) -164  (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:13 AM and 7:38 PM?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0 and 146.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5 - 1 = -3*n. What is o in -4*o**5 - 2*o + 4*o - 4*o + 9*o**3 + 5*o**n - 5*o**4 - 3*o**5 = 0?\nAnswer: -1, 0, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*y = -2*t + 2, 0*t - 4*t = -2*y - 28. Let s = -4 + t. Suppose s*k = 5*k - 15. What is the units digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 33.98987ml to litres.\nAnswer: 0.03398987","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: ((40 - 38) + 2\/(-3))*6\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(z) be the second derivative of -z**5\/20 - z**4\/12 + z**3\/3 + z**2 + 2*z. What are the prime factors of u(-3)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from kzkkzkkzkkkzzzzkkkk. Give prob of picking 1 z and 1 k.\nAnswer: 28\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2 divided by 642116.\nAnswer: 1\/321058","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let k(a) be the third derivative of 1\/60*a**5 - 1\/24*a**4 + 0 + 0*a + 0*a**3 + 2*a**2. Let i = 0 - -3. Determine k(i).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-2 - 1) + (3 - -5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 0\/((2 - -1) + -2). Let j(o) = -3*o**2 + 33*o - 11. Let z be j(10). Suppose 4*g - 16 = n + z, w = n - 5. What is the units digit of g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 0, -0.03, -12, 33, -3\/16?\nAnswer: 33","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 1669 + -1665. Which is the fourth smallest value?  (a) 1\/7  (b) 16  (c) -5  (d) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -20 + 18. Let l be (k\/6)\/(5\/(-105)). Suppose 3663 = 16*r - l*r. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {u: 1, a: 2, b: 6, c: 7, i: 3}. Give prob of sequence ac.\nAnswer: 7\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: -31743 divided by -3527\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -1.47 and 625?\nAnswer: -918.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 2*s**4 + 16*s**3 - 596 wrt s.\nAnswer: 8*s**3 + 48*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -58.046 + 0.046. Let y = b - -58.023. Let m = y + -0.02018. What is m rounded to 4 decimal places?\nAnswer: 0.0028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -930 - -1?\nAnswer: -92a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let q(c) = -c**3 - 12*c**2 - 10*c + 17. Let x be q(-11). Suppose x*o - 5*o - 2 = 0. Let -2*u**o + u**2 + 11*u**2 + u**3 = 0. Calculate u.\nAnswer: -10, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: -25 divided by 1034962\nAnswer: -25\/1034962","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v**(-1\/4)*v**(3\/8))\/(v\/v**(2\/3)*v)**(12\/5) assuming v is positive.\nAnswer: v**(-123\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let b(l) = l**2 + 10*l - 13. Let i be b(-11). Let a be (-2 - -1)*-6 + i + 0. Let s be 4\/(-8) + ((-1379994)\/a)\/3. Round s to the nearest ten thousand.\nAnswer: -120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(13) + 5 + -4)*5.\nAnswer: 5 + 5*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let y be -58*3\/(-54) - (-6)\/(-27). Solve y - 28 = 5*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 f and 1 o when two letters picked without replacement from {f: 7, o: 7, v: 4}.\nAnswer: 49\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3 + -11 - (23 + -32).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f(k) be the third derivative of k**8\/2880 + 4*k**5\/15 - 7*k**2. Let p(g) be the third derivative of f(g). Let w(y) = -2*y**2. Determine p(w(l)).\nAnswer: 28*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -29.72 + 26.72. Which is the nearest to 0?  (a) k  (b) 0.4  (c) -7  (d) -37\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 42598949 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l*(l*l*((l*l*l**(-2\/9))\/l)\/l*l*l*l*l*l)\/l)**(-16\/5)*(l\/(l*l\/l**(-4)))\/((l\/l**(-8))\/l) assuming l is positive.\nAnswer: l**(-1561\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let v(b) = -b**3 - 7*b**2 - 11*b + 7. Let x be v(-6). Suppose 0 = c + g - x, 67 + 117 = 5*c + 4*g. What is the units digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -112 (base 5) in base 9?\nAnswer: -35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -15 + 24 - 9 - 17*c.\nAnswer: -17*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3*1*sqrt(88)*6)\/(1*sqrt(288)*2).\nAnswer: -3*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {z: 2, q: 2, i: 4}. What is prob of picking 1 q, 2 z, and 1 i?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -0.7  (b) -5  (c) 1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 4200227 + 7748*n - 4200227 to the form f*n + a and give f.\nAnswer: 7748","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 1\/6  (b) 2  (c) -14\/37  (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let p(y) be the first derivative of 2*y**5\/5 - 4027*y**4\/4 + 2*y**3\/3 - 2096*y - 8836. What is the third derivative of p(o) wrt o?\nAnswer: 48*o - 24162","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 549577761.\nAnswer: 3, 37, 4951151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -6310579 + 1?\nAnswer: -6310578","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence rhrh when four letters picked without replacement from hhhhrhrrhhrr.\nAnswer: 7\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 3346 to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 360643 to the power of 1\/2, to the nearest integer?\nAnswer: 601","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let u(v) = -2*v**3 - 282*v**2 + 6*v + 182. Determine u(-141).\nAnswer: -664","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Round -8.51 to 1 dp.\nAnswer: -8.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -433367, -433397, -433427, -433457, -433487, -433517?\n\"Answer: -30*z - 433337","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 1.48 - 322?\nAnswer: -320.52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let z(m) = 17*m**3 - 7*m**2 - 4*m + 22. Let y(x) = 20*x**3 - 6*x**2 - 3*x + 23. Let s(j) = 6*y(j) - 7*z(j). Calculate s(-12).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from yhlyhlvhlhalyhahlvl. What is prob of picking 1 v and 1 a?\nAnswer: 4\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let h(i) = -440*i - 148. Let u be h(-2). Calculate the highest common divisor of u and 2379.\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -254 = -5*x + 3*x + 5*w, 5*w = -2*x + 274. List the prime factors of x.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: -287424 divided by 7984\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -m - 3*m + 5*x - 38 = 0, -5*x = 10. Let d(o) = 2*o + 29. Let f be d(m). Solve 0 = 2*n - f*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -893544151 or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let z(a) = 2*a. Let y(b) = 24959*b**2. Determine y(z(k)).\nAnswer: 99836*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:00 PM and 2:00 PM?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(5) + sqrt(500) + -1 - -5*(-1 + sqrt(5))**2.\nAnswer: sqrt(5) + 29","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: 780 * -1364.4\nAnswer: -1064232","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*u = -0*u. Let b(g) = -667*g - 62026. Let q be b(-93). Solve -y = q*r + 16, 2*y - 3*r = -u*r + 20 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 235 minutes after 1:40 PM?\nAnswer: 5:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (((-3)\/(-13))\/3)\/((-413)\/826)?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 10649\/3 - 3548. Let v(d) be the second derivative of 5\/6*d**3 + 0 - 1\/12*d**5 + 0*d**4 - 9*d - n*d**2. Factor v(c).\nAnswer: -5*(c - 1)**2*(c + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 196 is divided by 50.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence du when two letters picked without replacement from ddu.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 73 - 16232?\nAnswer: -161ae","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 68b3c (base 15) in base 10?\nAnswer: 333282","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*j - 72*j + 187460 = 0. What is the remainder when j is divided by 111?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-4)\/6)\/(((-11)\/(-22))\/(207\/12))\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(x) = 1894*x**3 + 4*x**2 - 4*x + 15. Is g(4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -33\/1840 and -77\/7870.\nAnswer: 1448080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is -1415400719 - 42?\nAnswer: -1415400761","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -15 - -14.9. What is the nearest to t in 2\/11, 2\/5, 1?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6*y + u - 20 = 0, -20*u = 4*y - 21*u for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 34 - 32. Suppose -z - 13 = -3*q, -3*q - x*z = -22 + 3. Solve 28*t = 23*t + q for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*h + 3*h = 40. Let c = -6 + h. Suppose -5*u - 2*o + 24 = 0, -c*u - o + 21 = -4*o. Is u a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve t - 3*a = -8, 100*a - 32 = -5*t + 97*a for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 13.4571 and 7767.\nAnswer: 104521.2957","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {a: 2, s: 6, m: 7, w: 1, z: 1}. Give prob of sequence mawa.\nAnswer: 1\/4080","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7*y + l - 17 = 11*y, -5*l = 15 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 6533 + 1514. Suppose 53213 = 22*l + h. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -705033 divided by -57?\nAnswer: 12369","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 555 = 21*m - 72 + 123. Solve -m*t - 176 = -56 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((t*t**(2\/19)*t)\/((t*t**23*t)\/t*t))\/((t**13\/t)\/((t**(-23)*t)\/t)) assuming t is positive.\nAnswer: t**(-1100\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let q(z) be the second derivative of 3*z**6\/10 + 7*z**5\/10 + z**3 + 50*z**2 - 2*z - 1355. What is the second derivative of q(u) wrt u?\nAnswer: 108*u**2 + 84*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(a) = 2 - 2 - 7*a**2. Let u(m) = 24*m**2 - 5*m - 10. Let c(n) = 5*n**2 - n - 2. Let d(v) = 5*c(v) - u(v). Determine x(d(q)).\nAnswer: -7*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 37 - 296.6?\nAnswer: -259.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the sixth smallest value?  (a) -58  (b) -3  (c) -3.78  (d) 11  (e) -1  (f) 2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 60 - 56. Let i be p - 3*2\/6. Solve 3*n - 31 = -5*l, -i*n + 4*l - 6 - 8 = 0 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 886238012 is divided by 17?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 28?  (a) -1\/2  (b) -0.2  (c) 2  (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let w(q) be the first derivative of -q**3\/3 + q**2\/2 - q - 1. Let r(d) = -2*d**2 + 3*d - 5. Let k be 34\/51*9\/2. Calculate k*w(j) - r(j).\nAnswer: -j**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -0.042 - 0.05. Let c = 0.928 - n. Let x = 1.019957 - c. What is x rounded to 5 dps?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 4240?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 3 - ((-13 - -15) + -2 + -2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0 in 78, 18, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let v(b) = 234*b - 441. What are the prime factors of v(18)?\nAnswer: 3, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-2)\/(-10) - 60\/(-75). Let t be (9\/9)\/(m\/15). Let s(r) = -r**3 - 2*r**2 - 2*r. Let k be s(-3). Calculate the highest common factor of t and k.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 15 - 9. Suppose 0 = 2*z - 3*z - 2, 4*z + 23 = l. Calculate the remainder when l is divided by d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 351.102 - 351. Let d = 3.6 - 3.445. Let k = d - x. Round k to two dps.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-672)\/728*(-468)\/54?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 9100 and 13097175?\nAnswer: 52388700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 35 - 40. What is the second biggest value in -4, b, 2, -3\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2\/5 in 7188, 1, 887?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-8965)\/(-44) - (-1)\/4. Suppose 13*n - q = 9*n. Let v = -39 + n. Solve -f + 5*f - v = 0 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-3)\/(-2))\/((-39)\/4)\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -604, -4025, -12842, -29599, -56840, -97109, -152950, -226907?\nAnswer: -321524","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x(m) = 3*m**3 - 4*m**3 + 8*m - 2 + 3*m**2 - 2 - 6*m**2. Determine x(-5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -5524 + 5524.00001713. What is h rounded to six decimal places?\nAnswer: 0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -37863 (base 13) to base 8.\nAnswer: -310137","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 17714, 41377, 65040, 88703, 112366?\n\"Answer: 23663*i - 5949","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-o + 4*o - o)*(4 - 5 - 5) + (o - 1 + 1)*(1 + 4 - 6) + (8 - 10 + 1)*(2*o - o + o).\nAnswer: -15*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -z + 9*z**3 + z + (0*z**2 - z**2 - z**2)*(2*z - z - 2*z) + (6*z**2 - z**2 - 3*z**2)*(-3*z - z + 3*z) to the form d*z + p + k*z**2 + o*z**3 and give o.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -3 + 8. Let s be g + 3\/(-4 + 1). Is (18\/s)\/(12\/64) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ryyy when four letters picked without replacement from {h: 13, r: 2, y: 3}.\nAnswer: 1\/6120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let i(b) = -1138001*b - 8679. Let w(y) = -787*y - 6. What is -2*i(r) + 2893*w(r)?\nAnswer: -789*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 17301348?\nAnswer: 2, 3, 31, 37, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 89\/16 and ((90\/(-42))\/(-5))\/((-2)\/(-38)).\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (8 + 5599*t - 6054*t + 9 - 18090*t - 17)*(-4*t + 2*t + 0*t).\nAnswer: 37090*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (2 - 0)*(-525)\/(-6). Suppose 0 = 2*p - 4, -4*c - 41 = -4*p - 317. Suppose 3*i + b = 5*z, -2*z - 5*i = -6*i - c. What is the units digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-2*g + 0*g + g)*((-6 + 4 - 7)*(-g**3 - 8*g**3 + 0*g**3) - 4*g + g**3 + 4*g) to the form k*g**2 + s*g + y*g**4 + p + o*g**3 and give y.\nAnswer: -82","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence xl when two letters picked without replacement from {k: 3, l: 1, a: 1, x: 1, m: 1}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let g(s) = -s + 1. Let v be 1*(0 - -6)\/(-2). Calculate the remainder when 1*2 + (-16)\/(-4) is divided by g(v).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*h = -3*h + 344. Let v = h - -210. What is the hundreds digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-3)\/8)\/((-315)\/(-504))\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 68099, 68098, 68097, 68096?\nAnswer: 68095","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 22\/(-209) + 75932\/76?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 3626 and 728.\nAnswer: 188552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -27 or -3751\/138?\nAnswer: -27","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 1486 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 195 and 117?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let h(w) = -w**2 + 3*w + 3. Let d(j) = j + 1. Determine 3*d(y) - h(y).\nAnswer: y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from vhvevhevu. What is prob of picking 2 h?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 6039774?\nAnswer: 2, 3, 13, 53, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -71\/31186 and -19\/14?\nAnswer: 218302","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand 3*k**4 - 3*k**4 + 2*k**4 + (k - 1 + 1)*(3*k**3 - 3*k**3 - k**3) + 173141*k**3 - 506*k**4 - 173141*k**3.\nAnswer: -505*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 14 = 10*i + 34 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 30.776 + -0.2?\nAnswer: 30.576","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let f(s) = -3*s + 4. Let t = 9 + -10. Let y(g) = -1. Let x(b) = t*f(b) - 2*y(b). What is the units digit of x(3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00004683781 to 5 decimal places.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 278 smaller than 279?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -631 - -6.\nAnswer: -625","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, 3.1, -1, 114, 22, -5, -2\/11 in ascending order.\nAnswer: -5, -1, -2\/11, 3, 3.1, 22, 114","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*a - 5*j - 59 = 0, 0 = 4*j + 4 - 24. Does 15 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(p) = 1663*p - 36651. What is o(22)?\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-7)\/5*(-3560)\/109648.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 143133 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: Is 175129 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 12\/8 + (1 - 0). Let h = 23.42 - 0.02. Let v = h + -23. Which is the fourth biggest value?  (a) v  (b) m  (c) 4  (d) -4\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(p) = p**2 + 2*p - 7. Let g be m(-6). Let q(c) = -c**2 - c + c + c**3 + g. Does 16 divide q(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 248 = 18*p - 14*p. Let s = p + -33. Calculate the remainder when s is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 88\/5 of a meter in millimeters?\nAnswer: 17600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 1031, 1074, 1145, 1244, 1371?\n\"Answer: 14*b**2 + b + 1016","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -85*l**2 + 2*l**3 + 85*l**2 - 19 + (2*l + 1 - 1)*(-2*l**2 + 0 + 0) to the form j + y*l + z*l**2 + f*l**3 and give j.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 37 + -115. Let w = v + 86. Calculate the lowest common multiple of w and 130.\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(t) = -t**3 - t**2 - t. Let u(m) = -22*m**3 - 6*m**2 + 13*m. Let p(b) = 6*d(b) - u(b). What is the second derivative of p(g) wrt g?\nAnswer: 96*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(160)\/(sqrt(56)\/sqrt(7)) + 4)*-5.\nAnswer: -10*sqrt(5) - 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let i(z) = 23 - 30 + 12*z**2 + 14 + 5*z - z**3. What is the units digit of i(9)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 - 1 - 3)*(-1 + 1 - 2*p**2) + 6*p**2 - 4*p**2 - 3*p**2.\nAnswer: p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 15 - 10. Let l(a) = a**3 - 7*a**2 + 6*a + 7. Let v be l(s). Let t = v - -36. Is t a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1177415 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 18024.\nAnswer: 2, 3, 751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 1571693 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 6*(-2*sqrt(95)*5 - sqrt(95))\/(sqrt(5) + (sqrt(720)*-1 - sqrt(720))) + -4.\nAnswer: -4 + 66*sqrt(19)\/23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {r: 7, n: 1, x: 6}. Give prob of picking 2 r.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.769101 millennia to months.\nAnswer: 9229.212","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (68\/(-8) + 4)\/((-4)\/24). Solve 29*j = l*j + 10 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 2*g**5 + 0*g**2 - 5*g**5 - g**2 + 5*g**2 wrt g.\nAnswer: -180*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 294867 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1 in 0.3, -2, 11, 45, 36?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -h + 16 = 3*h. Suppose h*j = j + 21. Suppose 0 = -a - 5 + 19. Calculate the greatest common factor of a and j.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ooowooooww. Give prob of picking 3 w and 1 o.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from yrrrrrrrrrrrrryryr. Give prob of sequence rrr.\nAnswer: 455\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 234 - -4?\nAnswer: 238","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -193*b + 75 = -3*g - 198*b, 55*g - 67*g - 48 = -b for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let w(d) = -d**3 - 2*d**2 + 5*d + 1. Let s be w(-3). Put s, -2, 2 in ascending order.\nAnswer: s, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -1800, 251, 2302, 4353?\n\"Answer: 2051*b - 3851","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Put 56, 1, -2, 0, -1, -30 in descending order.\nAnswer: 56, 1, 0, -1, -2, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2.18369*-379.\nAnswer: -827.61851","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -57*u = 42*u - 359 - 829. Solve -3*a + u = 33 for a.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 493539.\nAnswer: 3, 164513","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*p + 4*b - 711028, -4*p - 6*b - 948052 = -4*b. Let r = p + 149012. Round r to the nearest 10000.\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4*s**2 + 18*s + 16*s - 85*s + 51*s.\nAnswer: 4*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.15 + -621604.\nAnswer: -621603.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -4529 - -4528.6. Let l = 5 - 8. Which is the fourth biggest value?  (a) -5\/6  (b) l  (c) -0.2  (d) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -3846, -3386, -2516, -1236, 454, 2554?\n\"Answer: 205*h**2 - 155*h - 3896","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 6 + -10. Put 0, l, -1, -2 in descending order.\nAnswer: 0, -1, -2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*s + 6 - 24 = -g + 6*s, 115 = -5*s for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let u(t) = 104*t + 28. What is the units digit of u(11)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 5275505881\/1463 - 3605951. Let j = -2\/209 - i. Let f = 2846 - 2848. Sort j, -3, f in decreasing order.\nAnswer: j, f, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -5 + 9. Suppose -2*p + 2 = -o. Is 2 <= p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: (76\/26)\/((-1372)\/(-17836))\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -8 + -3 + 8 - -3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 11104\/(-2082)*12\/6080?\nAnswer: -1\/95","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -486*-0.5\nAnswer: 243","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (5\/(-4))\/((-210)\/(-2688)*-2).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put -6, 0, -1, -145635, 3 in decreasing order.\nAnswer: 3, 0, -1, -6, -145635","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Does 14 divide 1016400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is -57 - ((556 - 528) + 0 + -6 - 4)?\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 493 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 0.0595, -0.1, -2\/9, -11\/4?\nAnswer: -11\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (0 + -2)\/((-2)\/4). Let t be (1*-4)\/d + 4. Let x = 9 - t. What are the prime factors of x?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -228, 200, 628, 1056, 1484, 1912?\n\"Answer: 428*p - 656","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 0.4 from -6298997349.\nAnswer: -6298997349.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*n**2\/13 - 31400*n\/13 - 188472\/13.\nAnswer: 2*(n - 15706)*(n + 6)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 6.1 + 1.9. Let p = c - 13. Let z = 4203.8 - 4203.7. Sort p, z, -1\/4, -3 in ascending order.\nAnswer: p, -3, -1\/4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3*-6*(sqrt(162) - (-1 + sqrt(162)))**2 + -5)*-4 + 5 + 5.\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -117*u - 1362 + 894 = 0 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*f = 0, 5*w - 2*f = -0*f + 4700. Let v be w\/310 + (-1 - 2). Let s = v - -144\/341. Calculate the common denominator of 55\/7 and s.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2\/5?  (a) 265  (b) 36  (c) -0.2  (d) 5  (e) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.1?  (a) -1\/20  (b) 1\/5  (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*m - m - t = -9, -4*m + 28 = -4*t. Let v be m\/(3\/7 - 24\/(-42)). Suppose v = b - 3*l + 7*l, 3*l = -4*b + 19. Solve -b*o = 7 - 23 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2d70 (base 14) to base 9.\nAnswer: 12137","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y be ((-615)\/(-475))\/(-6 - 1). Let f = -2\/133 + y. Let t = -0.26 + -0.04. Which is the closest to 1\/4?  (a) f  (b) -5  (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 25075248 is divided by 7243?\nAnswer: 7225","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -11000100000 + -10100?\nAnswer: -11000110100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-4*k + k + k)*(k - 4*k + 2*k) + 2*k**2 + 0*k**2 + 0*k**2 + (k**2 + 3*k - 3*k)*(933 - 1061 - 772))*(-k**2 + 3*k**2 + 0*k**2).\nAnswer: -1792*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let k(l) = -874*l - 7. Let d be k(-4). Let r be 4\/(-24) + d\/(-18). Let x = -97 - r. What are the prime factors of x?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: 16 * -71\nAnswer: -1136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 18750 and 190?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is -657.13206 rounded to 0 decimal places?\nAnswer: -657","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -50.94 + 50. Let m = k - 6.06. Let d = -6.83 - m. Is 3 <= d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 810 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -463 = -3*b - 58. Let y = b - 135. Solve 2*j - 6 = -y for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 k when three letters picked without replacement from vkkkkhhvkvkhhk?\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let c(x) = 18*x**2 + 4*x - 148. Let o(y) = -y**2 + 3. Let a(v) = -c(v) + 2*o(v). Differentiate a(l) with respect to l.\nAnswer: -40*l - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(l) = -l**3 - 26*l**2 - 10*l + 374. Let j be n(-25). Let a(s) = -17*s - 9. Give a(j).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 q and 1 h when two letters picked without replacement from uhlhhzqqquqlqtl?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -0.34 + 1.64. Let r = i + -0.3. Let w = -2 + r. Which is the closest to w?  (a) 1\/2  (b) 0.1  (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 4975 and 153230.\nAnswer: 995","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:21 AM and 5:46 AM?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -388 + 7*t**2 + 1590 - 5*t**2 - 383 - 438 - 381.\nAnswer: 2*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 5\/(-20) - 34\/(-8). Let d = 9 + 0. Let l = 8 - d. Is l greater than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 437 and 12505.19?\nAnswer: 12068.19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 4 + 104\/(-32) + (-2)\/(-8). Let j(c) = -7*c**2. Determine j(k).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 109 a factor of (1\/1)\/((-90)\/(-1000620))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose u - 3*u = -14. Suppose 11*x - 44 + 11 = 0. Solve -m - u = -x*v + 8, 4*m + 20 = 2*v for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 268582854 to the power of 1\/5, to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((v\/v**(1\/2))\/v*v)**(-22)*v\/(v*v**4*v)*v*v**(1\/11))\/((v\/(v*v**7))\/v*v**(-2\/17))**(-28) assuming v is positive.\nAnswer: v**(-45292\/187)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 321477 is divided by 24724?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -41\/5358 and 1\/41971.\nAnswer: 251826","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -3.3 + 2. Let x = -1.2 - b. Suppose -d - d + 3*m = 12, -d + 1 = 2*m. What is the nearest to x in d, -4, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 14453 + -25?\nAnswer: 14426","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 20467945 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 1341992 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: Collect the terms in -3 - 3 + 6 + 5157*q.\nAnswer: 5157*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 2146 and 26973.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let b(q) = 1237*q**2. Let p(v) = v**2 + 2397. Give p(b(t)).\nAnswer: 1530169*t**4 + 2397","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Convert 36250.4 decades to millennia.\nAnswer: 362.504","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p(h) = -5*h**2. Let s(z) = 11*z**2. What is s(p(w))?\nAnswer: 275*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -667 + 473. Is (-4)\/8 - p\/4 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 117107011 to the nearest integer?\nAnswer: 10822","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*q**4 + 989*q**3\/5 + 8081*q**2\/5 + 6382*q\/5 - 144 = 0 for q.\nAnswer: -90, -8, -1, 1\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is -21 less than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, 7, -34, 866, 4.\nAnswer: -34, -3, 4, 7, 866","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1 + (-1*(sqrt(325) + 2 + sqrt(325) + 1 + -5 - -4*sqrt(325)*4*4))**2.\nAnswer: -1320*sqrt(13) + 1415705","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 282037, 281615, 280913, 279931?\nAnswer: 278669","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (2\/5)\/((-216)\/40 + 5).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.000457893 to 7 decimal places.\nAnswer: 0.0004579","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Round -375662 to the nearest 100000.\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 55 - (-14 - (2 + -14 + 27)).\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*f - 10 = 2*m, f - 5*f - 1 = 3*m. Suppose 20 = 4*d + 4*a, 4*a - 25 = f*d - a. Suppose 5*o = -d*o + 55. What is the smallest common multiple of 6 and o?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 1, -15\/312284, -2\/3, 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((i**(-3))**(-12)\/(i*(i*i*i\/(i\/i**2))\/i)**(10\/3))**(2\/19) assuming i is positive.\nAnswer: i**(136\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is -10004 divided by -2?\nAnswer: 5002","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4*((sqrt(4212) + -2*sqrt(4212))*1 + sqrt(4212))\/(sqrt(16)\/(sqrt(900)\/sqrt(9))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 24320301 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (15\/(-3))\/(-4*(-8)\/(-32)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-o**2 + 2*o**3 + o**2)*(2 - 3 + 2) + (1 - 3*o - 1)*(-4 + 4 - 2*o**2).\nAnswer: 8*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence be when two letters picked without replacement from {e: 1, b: 11}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence kc when two letters picked without replacement from vrkbc.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r**(-2\/3)*r**(-1\/2))**(-6\/17) assuming r is positive.\nAnswer: r**(7\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -9 + 5. Let p be (3 + (-1)\/(-3))\/(2\/(-6)). Let r be (36\/p)\/(-9) - (-1 - -1). Which is the second smallest value?  (a) r  (b) -1\/3  (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -283 divided by -60335?\nAnswer: 283\/60335","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let k(x) = x**3 - 11*x**2 + 19*x - 8. Let v be k(9). Let i be v - (2 + -4) - 18216\/7760. Let c = 24\/97 + i. Which is smaller: 2 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -79 - 19649?\nAnswer: -196c3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 25*i - 4*i - 40320. Calculate the remainder when i is divided by 148.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from qkqxkqkkkkkkq. Give prob of sequence kxq.\nAnswer: 8\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 6 + 1 + 0 - 0 - (65 + 21 - 87).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -905*c**2 - 16*c - 35060.\nAnswer: -1810*c - 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (8 + 925\/(-5))\/(2\/(-10))?\nAnswer: 3, 5, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2477090 is divided by 825566?\nAnswer: 392","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let j(x) = -11*x - 14. Let m(v) = -17*v - 21. Let u(s) = -8*j(s) + 5*m(s). Let f be u(-8). Let t = f + 25. Are t and 7 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 680010 to the nearest integer?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let l(j) be the first derivative of -670*j**3 - 4464*j + 9403. Differentiate l(u) with respect to u.\nAnswer: -4020*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*o - m = 38, 6*o + 4*m - 88 = 2*o. Suppose -3*t - t + o = 0. Solve 0*i + i = t for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(a) = -3*a + 4*a + 2*a. Suppose -y - 4*y + 15 = 0. Let p(d) = y - 3 + 0 - d. Give p(i(r)).\nAnswer: -3*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -10 - -8. Let k be (-6)\/m + -4 + 1. What is the third derivative of k*v**3 - 2*v + 2*v + v**3 + 4*v**2 wrt v?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 9, 5, -11, -45, -103, -191?\n\"Answer: -c**3 + 3*c + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: -1381924408876 + -140\nAnswer: -1381924409016","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Work out 29 * -3.\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 2 - -1. Let i = -47 + 83. Let m be i\/8 + (-2)\/4. Put l, 0, m in descending order.\nAnswer: m, l, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 117556 by 4.\nAnswer: 29389","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-304)\/72 + 4 + (-7)\/9. Let t be -11 - 61\/(-3) - p\/(-3). Put t, -4, -0.14 in decreasing order.\nAnswer: t, -0.14, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 481 and 0.048.\nAnswer: 23.088","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 722 or 723?\nAnswer: 722","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {m: 3, n: 4}. What is prob of sequence mm?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = t + 3*r + 8 - 0, -4*t - 2*r - 2 = 0. Let s be (0 - -5)*2\/(-95). Do t and s have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -548.26492 to the nearest ten.\nAnswer: -550","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 108 divided by -27.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -19*z**2 - 6*z**2 + 24*z**2.\nAnswer: -z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -8*l**2*u**2 + 247*l**2*u - l**2 - l*u + 4354*u**2 - 6*u wrt l.\nAnswer: -16*l*u**2 + 494*l*u - 2*l - u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 35793773 to the power of 1\/3, to the nearest integer?\nAnswer: 330","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 0 + 1. Let f(p) = 2*p + 1. Let k be f(3). Suppose 5*g = 5*q - 2 + k, 3*q = g + 5. Sort q, -3, x in increasing order.\nAnswer: -3, x, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 5*a**3 - 5*a**3 - a**5 + (0*a**4 + 0*a**4 - 2*a**4)*(-1 + 1 - 2*a) + (-4*a**4 - a**4 + 3*a**4)*(-5*a + 3*a - 2*a).\nAnswer: 11*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 9695951, 9695959, 9695979, 9696017, 9696079, 9696171?\nAnswer: 9696299","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 65249 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth smallest value in -20, 1\/8, 1, -7\/8, -1, -0.2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in seventeen halves of a meter?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-276)\/(-14) - (-10)\/35. Suppose 3*k + 0*w - 11 = -2*w, 5*k + 5*w = u. Find the first derivative of -2*p + 0 + k + 0 wrt p.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many kilograms are there in 2.975465 grams?\nAnswer: 0.002975465","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 192, 355, 198, -555, -2180, -4953, -9150?\nAnswer: -15047","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Product of -358 and 57049.2.\nAnswer: -20423613.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Factor -16\/3*g**3 - 12*g**2 - 10\/3 - 32\/3*g - 2\/3*g**4.\nAnswer: -2*(g + 1)**3*(g + 5)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: -142230 (base 6) to base 16\nAnswer: -34aa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0010325 to 3 decimal places.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 1528713 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 57 and 285874.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let z(h) = h**3 + 6*h**2 - 69*h + 75. Calculate the remainder when z(13) is divided by 16.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(c) = -c**3 + 12*c**2 - 10*c - 15. Let q be b(11). Suppose 50 = 4*j - 6. What is the remainder when ((-30)\/q)\/(24\/80) is divided by j?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 776 and 4?\nAnswer: 776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*s**2\/3 + 1544*s\/3 - 151360\/3.\nAnswer: 2*(s - 88)*(s + 860)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Do -47686 and -49673 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -0.326 + 0.056. Let m = s - -3.47. Let h = m + -3. What is the closest to h in -1, 3, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 297 and 66?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -19952*b**2 + 1 - 13945*b**2 - b + 7518*b**2.\nAnswer: -26379*b**2 - b + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:52 PM and 8:33 PM?\nAnswer: 41","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from bbmbbaahp. Give prob of picking 1 h and 1 a.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Does 11 divide 3146?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 341 - 26 = 3*v. Suppose -v = -0*d - 7*d. Let -4*l**4 - l**4 + 3*l**4 - d*l**3 - 3*l**4 - 10*l**2 = 0. Calculate l.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 32*l - 923 - 11 - 26 for l.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 392 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 1 - 2214001424?\nAnswer: -2214001423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let v(p) = 2*p - 11. Let g be v(5). Which is the second biggest value?  (a) -3  (b) -5  (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(u) be the second derivative of -u**5\/20 + 2*u**4\/3 + 3*u**3\/2 + 11*u**2\/2 - 4*u. Is 11 a factor of j(9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: 184 divided by 4\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.3 * -145.\nAnswer: 43.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Sum 0.02 and -32562498.\nAnswer: -32562497.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 286*t = 273*t - 130 for t.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Express (-1 - 8 + 4)*((-2*a + 0*a + 3*a)*(-2 + 1 + 2) - 8*a + 17*a + 10*a) - 6*a + 3*a + 2*a + (-3*a + a - a)*(4 - 2 - 1) in the form x + q*a and give q.\nAnswer: -104","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 889 smaller than -0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let a(m) = -m**3 - 43*m**2 - 56*m - 66. Calculate the lowest common multiple of 406 and a(-42).\nAnswer: 3654","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 39063533 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -56 = 22*x - 9*x - 4. Which is the third smallest value?  (a) -14\/13  (b) 0.1  (c) -0.2  (d) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*v**2 + 3*v**2 + 2*v**3)*(3*v + 2 + 5 - 4*v).\nAnswer: -2*v**4 + 14*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 o and 1 k when three letters picked without replacement from iiikokioooi?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 161944 is divided by 1227?\nAnswer: 1207","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let z(l) = -3*l + 3*l + 2*l. Let u(o) be the third derivative of 0*o**3 + 0*o + 0 + 4*o**2 - 1\/24*o**4. What is z(u(h))?\nAnswer: -2*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let m be ((-16)\/(-2) - 2)\/(12\/(-6)). Sort 0, -1, 1, m.\nAnswer: m, -1, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 3 - -19. Suppose -2*x - 2*c = -3*x, c + 5 = 3*x. Solve 4*f + 3*v = -b + x, -5*f + 3*v = 25 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 186 minutes before 4:59 AM?\nAnswer: 1:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) -3  (b) 0.1  (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*m - 2*n + 1029130 + 278681, -3*m + 5*n = -1307853. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*v**2 - 3*v**2 + 0*v**2)*(-v**2 - 11*v**2 - 10*v**2).\nAnswer: -22*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let m(c) be the third derivative of c**7\/735 - 199*c**6\/420 + 2211*c**5\/35 - 25047*c**4\/7 + 95832*c**3\/7 - 290*c**2. Find k such that m(k) = 0.\nAnswer: 1, 66","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7745*x = -93286 - 201024 for x.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 8427, 16856, 25283, 33708, 42131, 50552, 58971?\n\"Answer: -j**2 + 8432*j - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {u: 1, q: 6, o: 1, t: 4, w: 1}. What is prob of sequence tq?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 54*r**3 - 64279*r**2 + 67*r - 2003 wrt r?\nAnswer: 324*r - 128558","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((((g**(5\/8)*g)\/g)\/g**(-14))**(-15\/8))**9)**(12\/13) assuming g is positive.\nAnswer: g**(-3645\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let p(v) be the first derivative of 19*v**5\/5 + 17*v + 1. Find the first derivative of p(d) wrt d.\nAnswer: 76*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 493 and 107952?\nAnswer: 53220336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 8152 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let b(u) be the first derivative of u**3 - 50. Let h(g) be the second derivative of g**3\/3 - 6*g. Determine b(h(v)).\nAnswer: 12*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 42375818879 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Divide 511 by 73.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Convert -2 (base 11) to base 4.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 12407 + -7276. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*r - 86 = -3*r. Let v be (-4)\/(-18) - r\/9. Suppose v*j = g + 200, -2*j - 2*g = -g - 87. Is j a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1745170 is divided by 603?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 26 and 7306.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5 - 7 = -2*j. Find the common denominator of j - 6 - 2057\/(-170) and -21\/5.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:19 AM and 6:02 PM?\nAnswer: 703","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let y(p) = -p**2. Let x(r) be the second derivative of -2293*r**4\/12 + 89*r. Give x(y(h)).\nAnswer: -2293*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:21 AM and 6:25 AM?\nAnswer: 244","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 795601 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 0\/2*(-10)\/(-20). Let f = -481\/534 - -6\/89. Which is smaller: u or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -648*o**2 + 74*o**2 - 310*o**2 - 72 + 73 to the form c*o**2 + n*o + h and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 30 and 318.\nAnswer: 1590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is (48\/3360*-42*(-10)\/6)\/(3 + 16)?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Express -1 + 2*r - 9 + 621393*r**2 - 7 - 621395*r**2 - 112*r**3 as u*r**2 + y + j*r**3 + f*r and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -7?  (a) 6  (b) -3.3  (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 196*i - 259*i + 301*i = -304*i + 53116 for i.\nAnswer: 98","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1928699*y + 888 = 1928675*y for y.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 1694456 - -705544. Suppose -4*k + c = k. What is k rounded to the nearest 100000?\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 23801540137 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (12\/15)\/((-6)\/(-15)). Let q be (n\/(-4))\/((-2)\/(-12)). Put 1, -1, q in decreasing order.\nAnswer: 1, -1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*a + 4*j - 66 = 0, 3*j + 132 = 5*a + 2*j. Let p(t) = t**3 - 9*t**2 + 8*t + 18. Let c be p(8). Calculate the highest common factor of a and c.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2\/5?  (a) 3872  (b) 0.06  (c) -0.1  (d) 1  (e) 1\/12  (f) 2\/5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 34*j - 135540444 = -122*j. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express f + 0*f - 8*f as v + a*f and give a.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let m(v) = -v**3 - 48*v**2 - 45. What is the thousands digit of m(-49)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (17 - 2*p + 0*p - 13)*(51 + 23 + 58).\nAnswer: -264*p + 528","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 328 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3548 - -5.2.\nAnswer: -3542.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*f = -4*k + 4*f - 328, -5*f + 82 = -k. Let v = 14 - k. Calculate the greatest common factor of v and 32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(w) = -w**3 + 7*w**2 + 7*w + 11. Let p be c(8). Suppose -4*t = -p - 1. What is the units digit of (0 - t)\/((-1)\/2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -q - 2*q + 6*q + 201 - q as w*q + u and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -53 - -48. Let n(b) = b**3 + 5*b**2 - b + 6. Determine n(m).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 f and 1 d when four letters picked without replacement from {b: 5, s: 1, f: 7, d: 3}?\nAnswer: 3\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-1)\/5 - 160\/(-50). Let x(u) be the second derivative of -u - 1\/20*u**5 + 0*u**2 + 1\/6*u**b + 0 + 0*u**4. Factor x(k).\nAnswer: -k*(k - 1)*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 321 + -320.5. What is the third smallest value in -2, r, 117?\nAnswer: 117","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*i = 4*v + 26, -648 = -4*v - 680 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 14.1 and 1009581.\nAnswer: 14235092.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -62778826 divided by 53338.\nAnswer: -1177","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 466.136 - 1.136. Let l = m + -461.998. Let q = l - 3. Round q to 3 dps.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine m so that m**2\/5 + 39076*m\/5 - 344256 = 0.\nAnswer: -39120, 44","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -51*d + 37028 - 36314 for d.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -7714 + 7761. Let v(s) = 2*s + 13. Let o be v(6). Let t = o + -15. What is the remainder when r is divided by t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -5234 + 15468?\nAnswer: 10234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((4 + -2*sqrt(176)*-1 + -1)*5*3 + 2)**2 + -3.\nAnswer: 11280*sqrt(11) + 160606","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many hours are there in 57\/7 of a week?\nAnswer: 1368","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m(s) = -s + 2. Let r be m(0). Suppose -r = i + 3*l, 3*i - 5 = 6*l - 4*l. Sort 5, -2, i in descending order.\nAnswer: 5, i, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2880 to the power of 1\/2, to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 10069521.\nAnswer: 3, 7, 11, 43591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:32 PM and 1:16 AM?\nAnswer: 524","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let u be -3 - (8 + -6 + 3). Let a(j) = 27*j - 137. Let q be a(5). Put 2, q, u in descending order.\nAnswer: 2, q, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*c + 13 = 1 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (15 + (-1008)\/64)*8.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -1248 + 8734\/7. Which is the smallest value?  (a) q  (b) 6  (c) -3  (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:11 AM and 6:59 PM?\nAnswer: 588","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: -4*-423\nAnswer: 1692","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v\/(v*v**(1\/4)))**(2\/27)*v*v**(-1\/4)\/v*(v\/(v\/(v\/((v\/(v\/v**(-1)))\/v)*v)))\/v*(v**0\/(v**(2\/13)\/v))\/((v\/(v**(-1\/4)*v))\/v)**(-30) assuming v is positive.\nAnswer: v**(-26567\/1404)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 65159 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let l(s) = 5*s**2 + 5*s + 5. Let q(p) = -4*p**2 - 5*p - 4. Let x(w) = -5*l(w) - 6*q(w). Let t be x(4). Let r = t - -7. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 122680 to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2 + -1 + sqrt(125) + 0 + -3 + (sqrt(10)\/sqrt(2))**2.\nAnswer: -1 + 5*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-51 - 36 - 33)*(2*x**4 - 2*x**4 - x**4) to t*x**3 + o*x + d + v*x**4 + g*x**2 and give v.\nAnswer: 120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -62 - -118. Calculate the remainder when 107 is divided by a.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(z) = -386*z + 3453. Give m(9).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 2522609 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 1172959445?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 7 divided by 42.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is -74\/23907 greater than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 83*g = 149*g - 73 - 389. Let s(w) = 3*w**2 + 11*w - 6. Let l = 3 - 8. Let m(o) = 4*o**2 + 12*o - 5. Let z(x) = l*s(x) + 4*m(x). Calculate z(g).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-39)\/(50\/100*-33).\nAnswer: 26\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence yvv when three letters picked without replacement from mvlmzmvppymmmmmmvmyz.\nAnswer: 1\/570","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 8223?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -0.2 - -0.3. Let d = 2.8 + -3. Let z = a + d. Is 1 <= z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -3528930 divided by -10?\nAnswer: 352893","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let p(a) = a**3 - 6*a**2 + 6*a + 4. Let c be ((-24)\/(-15))\/(4\/90). Suppose 2*d = -2*d - c. Let w be 0 - 3 - (1 + d). Give p(w).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2\/7 in -0.2, -1683\/4, 0.5, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 779442 and 3511?\nAnswer: 779442","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from qivjyqqyjiyjyaiqy. What is prob of sequence yjv?\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 442165280 to the nearest integer?\nAnswer: 145","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let w(o) = o**3 + 5*o**2 - 10*o - 76. What is w(-4)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1155733912.\nAnswer: 2, 41, 3523579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 5*p - 3*c + 41, -28 - 2 = 4*p - 2*c for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let r(d) = d**3 - 25*d**2 + 45*d + 19. Let u be r(23). Let t = 1 + -2. What is the nearest to t in -0.1, u, 0.2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*s**3 + 10077*s**2 + 36412*s - 15072 = 0. What is s?\nAnswer: -1256, -4, 3\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 122521 and 1242?\nAnswer: 6616134","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -4 + 6. Let b(t) = 2*t**s + 16 - 16. Let c(y) = -3*y**2 + 2*y**2 - 2*y**2. Give c(b(x)).\nAnswer: -12*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -5 - -8. Let c be (-3)\/(l\/3) + -44. Let r = -9 - c. Is r a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 3299680, 6599390, 9899112, 13198852, 16498616, 19798410, 23098240, 26398112?\n\"Answer: w**3 + 3299703*w - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-40)\/8 + (3 - -13). Suppose -3*v + 23 = 10*n - 6*n, v = -3*n + u. Solve -5*q + v*j = 2*j - 5, j - 9 = -q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(w) be the third derivative of -1759*w**6\/60 + 3533*w**5\/60 - 49*w**2 - 15. Find the third derivative of j(s) wrt s.\nAnswer: -21108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 3*u**4 - 3*u**4 + u**5 + (-5*u**3 - 92*u**2 + 92*u**2)*(3*u**2 + 0*u**2 + u**2).\nAnswer: -19*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-13)\/(-3) + 8\/(-24). Is ((-402)\/p)\/(2\/(-4)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in 94255.37ug?\nAnswer: 94255370","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v(r) = -41*r + 3737. List the prime factors of v(0).\nAnswer: 37, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -9713*t**2 + 727*t + 177350699 wrt t.\nAnswer: -19426*t + 727","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 1119 + -1116. Solve -x*q + 15 = 2*q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n**(1\/6)\/((n*(n*n**(3\/4)\/n)\/n)\/n)*(n\/n**0)**(-1\/76))\/((n\/((n**(-1)*n)\/n))**2)**35 assuming n is positive.\nAnswer: n**(-7957\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 0\/2 - -18*2\/3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from qaqaaaaoaoooaooqa. Give prob of sequence aaa.\nAnswer: 7\/85","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 13\/8 of a kilometer in meters?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 13 and 1548.\nAnswer: 20124","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is (0 - (-2)\/4)\/(17\/184369658*11) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence kmd when three letters picked without replacement from dkbmkbbnbknnkmkn.\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: -29 divided by -32278\nAnswer: 29\/32278","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of ((8\/12)\/(4\/(-3)))\/(91932\/13912) and -29\/1401?\nAnswer: 228363","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be -2*((-7803)\/54 + (2 - 1)). Let o = -279 + i. What is the lowest common multiple of o and 2?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 49853 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 1757.7 - 1758. Put -11, w, -8 in increasing order.\nAnswer: -11, -8, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -10334.5 + 10334.499859449. Round w to 6 dps.\nAnswer: -0.000141","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(i) = 3*i**3 + 2*i**2 - 4*i + 3. Let t(k) be the third derivative of k**6\/40 + k**5\/20 - 5*k**4\/24 + 2*k**3\/3 + k**2 + k. Give -5*a(w) + 4*t(w).\nAnswer: -3*w**3 + 2*w**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, -4, 13010, 10, 3, 8.\nAnswer: -4, 3, 4, 8, 10, 13010","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 85917005?\nAnswer: 5, 131, 131171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Round -3.19 to 1 decimal place.\nAnswer: -3.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*o + 0*o = -4. Suppose 0 = -2*g - o*g + 40. Suppose 6*y - 198 = 102. Calculate the greatest common factor of g and y.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(b) = 376*b**2 + 93*b - 94. Calculate h(1).\nAnswer: 375","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*h + 2*t = -255, 5*h - 121 = 4*t - 406. Let w = -372\/7 - h. Let b = 496\/1785 - -2\/255. What is the second smallest value in 0, w, b?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 162660?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let g(t) = t**3 + 6*t**2 + 8*t + 18. Give g(-5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 83 is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 375, 643, 919, 1203, 1495, 1795, 2103?\nAnswer: 2419","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 - 2 + l)*(10 - 29 - 19).\nAnswer: -38*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -2 + -1. Let u(s) = -5*s**3 + 4*s**2 + 3*s. Let c(v) = 2*v**3 + 1. Let z(n) = 3*c(n) + u(n). Give z(f).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(p) = 21*p - 3*p**3 + 41*p**2 + 2*p**3 - 25*p**2 - 32. What are the prime factors of b(17)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -483*a + 12 = -487*a, 0 = 7*i - 4*a - 152 for i.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of ((-3958)\/10)\/(10\/(-50))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3 + (6 - 1) + -2 + 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 81838 + -43381. What is the tens digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 6195697?\nAnswer: 6195697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let f(t) = 2*t**2 - 24*t. Let n(r) = -r**2 + 12*r. Let a(i) = 2*f(i) + 5*n(i). Let k be a(12). Round k to the nearest 1000000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from aiaiaiaas. Give prob of sequence sia.\nAnswer: 5\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-39)\/(-9) - 6\/(-9). Let s = -9 + i. Let b = s - -3. Is b bigger than 0.4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -6 - 12 + 29 - 132*q - 11.\nAnswer: -132*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let i(p) = -p**2 + 32*p - 1. Let k(b) = 1720*b**2 - 160*b + 5. What is -30*i(z) - 6*k(z)?\nAnswer: -10290*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*p + o + 1 = 0, 0 = -5*p + 5*o - 2*o + 25. Let w = 35 - 31. Calculate the lowest common multiple of -2*-1*1\/p and w.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 52 and 220?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let t(j) = -55*j**2 + 12*j - 6. Let p(b) = -57*b**2 + 14*b - 6. Calculate 6*p(q) - 7*t(q).\nAnswer: 43*q**2 + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3\/((-27)\/3)*24.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-57792)\/(-352) - (-2)\/(-11). Let z = -239 + h. Which is bigger: z or -74?\nAnswer: -74","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(a) = -68*a - 15. Let f(b) = 285*b + 63. Let m(r) = 5*f(r) + 21*p(r). Let h(o) = -2*o**2 - 19*o + 26. Determine h(m(y)).\nAnswer: -18*y**2 + 57*y + 26","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*o + y = -3*y - 4, 0 = -y - 5 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 280684*y**5 - 10*y**4 - 2821*y**2 + 520 wrt y.\nAnswer: 16841040*y**2 - 240*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(52)\/(-5*(sqrt(4) - sqrt(32)\/sqrt(8)) + sqrt(4)) + 2.\nAnswer: 2 + sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let v(j) = 4*j - 3*j + 5 + 4*j - j**2 + j. What are the prime factors of v(6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 13 - (-16)\/5*2\/(8\/(-10)). Solve -4*k - 2*w = -0*k, 9 = -k - u*w for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.8, -4, -195 in descending order.\nAnswer: -0.8, -4, -195","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 16802 and 2168?\nAnswer: 542","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 2506744 to the power of 1\/3, to the nearest integer?\nAnswer: 136","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10*o - 339 = -359. Solve 4*m - o = 3*w, -2*w = -4*m - 0*w for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*b + 7 = -13 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Determine f, given that 2*f**4\/5 - 1374*f**3\/5 + 277736*f**2\/5 - 13800864*f\/5 + 50847104\/5 = 0.\nAnswer: 4, 67, 308","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.021 plus 0.76305?\nAnswer: 0.78405","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2*((1*sqrt(200)*-3 - (sqrt(200) + -2 + sqrt(200)*2)**2)*-3 + 0).\nAnswer: -540*sqrt(2) + 10824","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -771*a - 23298 - 5229 = 0 for a.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -u + 4*r + 6, 4*u - 9*r - 12 = -5*r. Solve -28 = -u*k - 2*k + 4*b, -2*k = -3*b - 19 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 6 (base 11) to base 10\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:34 PM and 7:28 PM?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let d(i) = 78*i. Let c(a) be the first derivative of -3*a**2 + 111. What is c(d(k))?\nAnswer: -468*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((v**(-1\/3))**34)**(1\/58))**(5\/8) assuming v is positive.\nAnswer: v**(-85\/696)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 667, 1389, 2121, 2869, 3639, 4437, 5269, 6141?\nAnswer: 7059","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 176*i - 171*i - 10. Solve i*g - 9 = -5*r - 38, -2*g + 2*r = -6 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -321339 at least -321333?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -32*7.\nAnswer: -224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (30\/(-40))\/(27\/(-6)).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*d**3\/7 + 1052*d**2\/7 + 44640*d\/7 + 230400\/7 = 0.\nAnswer: -480, -40, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let r(b) = -6042*b + 166. Let q(t) = -2*t + 33. What is -5*q(y) + r(y)?\nAnswer: -6032*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -211.3 - -211.2. What is the closest to 0 in -2, -44, -1\/3, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*o + 35 = -4*a, 160*o + 4*a - 5 = 165*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, 3, 0.5, -157, -3.\nAnswer: -157, -3, -1, 0.5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -41*w + 5*w + 88 - 11 + 2*w wrt w.\nAnswer: -34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -7 - (-9 + 9) - -6.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 45785 (base 11) in base 15?\nAnswer: 14909","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-4)\/2 + 105 + (240\/(-192))\/(5\/4).\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: 65e7 (base 15) to base 3\nAnswer: 1002121201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x(n) = -2*n**3 + n**2 + n - 1. Let j be x(1). Is (0\/j)\/(-2) - -13 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 163\/624 and 19\/52.\nAnswer: 624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 4\/(-6)*33\/(-2). Let x be 1 - -2 - (-49 + (-9)\/3). What is the greatest common factor of x and c?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 9466543 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, 5, -105, 176, 15, 0 in ascending order.\nAnswer: -105, -2, 0, 5, 15, 176","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Divide 119663731 by 7039043.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand -1 - f + 1 + (-2 + 4 - 1)*(-f - 2 + 2) - 2*f + 2*f - f - f - 30*f + f.\nAnswer: -33*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = x + x - 374. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1 + (-9 - -19) + -40?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -79*k - 331 = -0*k - 94 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 14654054 (base 8) in base 16?\nAnswer: 33582c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 620 minutes before 4:42 PM?\nAnswer: 6:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let u(l) be the first derivative of 3*l**2\/2 - 9*l - 5. Let a = -71 + 94. Calculate the remainder when a is divided by u(6).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -462 + 416. Let i(t) = t**2 + t - 2. Let y be i(10). Let l = h + y. Calculate the greatest common factor of l and 93.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 21232?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -87613536, -87613537, -87613538, -87613539, -87613540?\n\"Answer: -j - 87613535","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 1\/3  (b) 310  (c) 15\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 6 divided by -848468?\nAnswer: -3\/424234","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*g + 10 = a - 3*a, -2*a - g = 4. Suppose -3*y = 5*f + 51, -5*y + 2*f = -3*f + 45. Let b be (y\/(-22))\/(-3) - 0. Do b and a have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 73*j**2 + 29*j**2 - 5*j + 5*j.\nAnswer: 102*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 993*p**4 - p**3 + 3094*p**2?\nAnswer: 23832*p - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4\/5 + 8\/5*f**2 + 2*f + 2\/5*f**3 = 0 for f.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((c*c\/(c*c**37))\/c*c*((c\/(c*c\/(c*(c*c*(c*c**(4\/25))\/c*c*c*c)\/c*c*c)*c))\/c)\/c)\/(c\/(c\/((c**(-35)*c)\/c))*c*c\/(c\/c**(-45))) assuming c is positive.\nAnswer: c**(1154\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: -14161 divided by 2023\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 11519.\nAnswer: 11519","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1 - (-5 - 12) - (5 + -2 - -3).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 12b6 - -20?\nAnswer: 1316","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 149?  (a) 0.4  (b) 4  (c) 0.5  (d) -5  (e) -2\/5  (f) 3081\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*sqrt(84))\/sqrt(12) + 4.\nAnswer: 4 + 2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 3 in 0.1, 69, -5, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*a - 170 = 5*u - 40, 2*a - 2*u = -68. Let l = a - -61. Suppose -l = -3*n + 5. What is the remainder when 23 is divided by n?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -230*b**3*y**4 - b**3*y**2 + 32*b**3*y - 4*b**2*g + 3*g*y**4 - 3*g*y**2 wrt y.\nAnswer: -5520*b**3*y + 72*g*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1237340?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -50996436*-0.2.\nAnswer: 10199287.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -177*u + 25*u - 1 + 327*u to the form b*u + a and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: 1 * -11.89767\nAnswer: -11.89767","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 - 2*x + 1)*(-102*x**2 - 93*x**2 + 1 + 22*x**2)*(-3 - 1 + 2).\nAnswer: -692*x**3 + 4*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let u(n) = -274*n**3 + 2*n**2 - 2*n - 2. Let v be 7 - (-28)\/(-35)*10. What is the units digit of u(v)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 61968.26 micrometers in meters?\nAnswer: 0.06196826","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t(m) = -m**3 + 22*m**2 - 61*m + 3. What is the hundreds digit of t(18)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f*(f\/(f*f\/f**(-1\/3)))\/f*f\/f**(-3\/2)*f*f**4\/f*f*f*f**(-1))**(-20\/9) assuming f is positive.\nAnswer: f**(-370\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let n be -3 - (0 - 0) - (4 + -10). Suppose -2*d = -n - 3. Suppose g - 2*f = 15, 4*g + d*f - 21 = -2*f. What is the smallest common multiple of 3 and g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 457 minutes before 5:46 AM?\nAnswer: 10:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 23925289921 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let a be -6 - -9 - (-1 - 9). Calculate the greatest common factor of a and 65.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-5 + sqrt(1216) + 0 + sqrt(1216) - sqrt(1216) - -1*sqrt(1216)*-5) + -1 + (sqrt(1216) + 0 - sqrt(1216)) + 4)**2 + 2.\nAnswer: 128*sqrt(19) + 19462","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 485 - 226. Let u = f - 254. Sort -5, -7, u in decreasing order.\nAnswer: u, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(v) = -v**3 + 9*v**2 + 15*v - 6. Let z be (-4)\/8 - 6\/(-4). Let c = z + 9. What are the prime factors of d(c)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 43440.56533 + -43440. What is k rounded to 1 decimal place?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 273 divide 20887503?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*k**2 - 273692*k - 14767704.\nAnswer: -4*(k + 54)*(k + 68369)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose s = -8 + 7. Let y(h) = h**3 + h. Let z(c) = 2*c**2 - c + 1. Let r(a) = s*z(a) + y(a). What is the units digit of r(4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(s) = -2*s - 8. Suppose -4*t = 2*f + 2, -3 = -0*t - 2*t - 5*f. Let m be (-14 + t)*1\/(-3). Suppose -h + 28 = -m*h. Determine d(h).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 0.04253 - 0.043. What is n rounded to four decimal places?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 190125774 and 2829.\nAnswer: 2829","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {q: 1, f: 1, a: 1, e: 4, p: 1}. Give prob of picking 1 e, 1 a, and 1 q.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((6*sqrt(90)\/sqrt(98))\/(sqrt(72)\/(4*sqrt(64)\/sqrt(8))))**2.\nAnswer: 2880\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: 638360 divided by 5\nAnswer: 127672","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -12 - -18. Suppose 2*g - 5*f + 72 = w*g, -3*f = 0. Is 76\/18 - 4\/g a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -6.7 - -7. Let j = 4 + -4.4. Which is the closest to 1?  (a) -1  (b) t  (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -23950 - -23950. Factor -2\/3*n**2 + 32\/3 + a*n.\nAnswer: -2*(n - 4)*(n + 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -4*d**3*t**3 - 15*d**3*t**2 + 2*d**3 + 8610*d**2*t**2 + 2*d*t**3 - 169025*t**3 - t**2 - 2 wrt t?\nAnswer: -24*d**3 + 12*d - 1014150","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 28949.\nAnswer: 28949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {j: 5, m: 13}. What is prob of picking 1 m and 2 j?\nAnswer: 65\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Sort 233, 6, 0, 7 in ascending order.\nAnswer: 0, 6, 7, 233","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let c(m) = -24774*m - 24775. Let a be c(-1). Let q(j) = -5*j**2 + 1 + 4*j**2 - 3*j + 2*j. Let i(o) = -3*o**2 - 6*o + 7. What is a*i(r) + 5*q(r)?\nAnswer: -2*r**2 + r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -81\/220 and 13\/1188.\nAnswer: 5940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 1*2\/(-4) + (-6251)\/(-3290)?\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -1\/2717 + -192899\/21736. Let u = -1033\/22 - -47. Let i = 523\/110 + u. Find the common denominator of j and i.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -1, -2.93, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let n(s) = 186*s**2 + 2*s - 15. Is n(5) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 608 + -608. Let m be (3 - 0) + 1 + 1. What is the second derivative of 3*j - j + j + f*j + 7*j**m wrt j?\nAnswer: 140*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from aulumaulalllxlla. Give prob of sequence umux.\nAnswer: 1\/7280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w**(4\/7)\/w*w)**20 assuming w is positive.\nAnswer: w**(80\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -52124 or -500?\nAnswer: -52124","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -127 - -432. Suppose 3*x - 268 = t. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -7651 greater than or equal to -7651?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10*k + 3*k + 28 = 0. Let f be 74\/70 + -5 + k. Is f >= 1\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.02 and 329593.\nAnswer: -6591.86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 0.03 or 2.1?\nAnswer: 2.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*d**5\/13 - 2*d**4 - 4*d**3\/13 + 4*d**2 + 2*d\/13 - 2 = 0. What is d?\nAnswer: -1, 1, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 - 8 - (-7 + -1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 h and 1 u when three letters picked without replacement from {b: 1, h: 2, u: 1}.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 61154 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 6328, 6325, 6320, 6313, 6304, 6293, 6280?\nAnswer: 6265","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 2\/(-4)*(5 - 9). Suppose 5*z - 159 = -2*t, -z + 5*z + o*t = 128. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(m) = -3*m - 29. Let l be v(-11). Suppose 672 = l*o + 2*a, -5*o - 4*a = -3*a - 843. Calculate the remainder when o is divided by 43.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in 98883.96 centimeters?\nAnswer: 988839.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-64)\/16)\/(14*6\/(-18)).\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 8 + 1 + (2 - 2). Let b be 1\/y*3*-3. Is -3 at least as big as b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1*-1*-3*(-1)\/12\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -170\/3  (b) -5  (c) 1  (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -21 + 19. Which is the third smallest value?  (a) -3\/4  (b) -1\/4  (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(s) = -s**3 + 8*s**2 + 10*s - 5. Let q be w(9). Let b = -134 + 86. Let n = b - -51. Solve 0*t = q*d + 5*t - 11, n*d = 2*t + 14 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(y) be the second derivative of 0 + 14*y + 19\/3*y**3 + y**2. Calculate the lowest common multiple of z(1) and 6.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*h + 0*o - 2 = o, -2*h = 4*o - 6 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: -10 (base 10) to base 6\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 73411 is divided by 161?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let n(y) be the first derivative of -y**4 + y**3 - y**2 - 4. Let g(o) = 12*o**2 - o**2 - 4*o**2 - 3*o**2 - 3*o**2 - o**3. What is -2*g(u) + n(u)?\nAnswer: -2*u**3 + u**2 - 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 20 + -18. Suppose 201 - 43 = l*y. What is the units digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -37 - -37. Let s = 524 - 516. What is the third biggest value in s, -2\/11, -0.5, y?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 118935852 a multiple of 5886?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2*n**2 - 2940 - 3*n**2 + 2*n**2 + 625 - 3311 to f*n + r + w*n**2 and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 17471 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let b(s) = s**2 - 17*s - 1286. What is b(-17)?\nAnswer: -708","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Express -10614*j - 1885075 + 1885075 as b*j + x and give b.\nAnswer: -10614","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 29 + -3. Suppose 2*d + z - 89 = 0, -3*z - 8 = 2*d - 95. What is the remainder when d is divided by o?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*u = -2*b - 6, 3*u + 6 + 6 = -4*b. Let w(r) be the third derivative of u + 1\/4*r**4 + 0*r**3 + 0*r - 5*r**2. Let s(q) = 2*q. What is w(s(a))?\nAnswer: 12*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 468641511 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (1\/2*-2)\/((-195)\/(-130)).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 4 - 54. Suppose -3*r = 2*h + 111, -h + 2*r - 40 = 12. Let x = b - h. Solve 2*s - 4*v - x = 0, -5*v = 4*s + 9 + 22 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:39 AM and 1:34 PM?\nAnswer: 295","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 6 + 6. Solve -3 - d = -5*z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many microseconds are there in 7\/4 of a millisecond?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 3 - 6d6e?\nAnswer: -6d6b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*y - 2 + 6 = -3*l, y = -l. Suppose -b = 5*w - 107, 3*w - 2*b = y*w - 25. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z**0)**(5\/7)\/((z*z\/(z*z**(-1\/4)))\/z**7) assuming z is positive.\nAnswer: z**(23\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -3000, -3343, -3686?\n\"Answer: -343*a - 2657","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 1120277648 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 1358, 1387, 1418, 1451, 1486, 1523, 1562?\nAnswer: 1603","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c(z) = -z**2 + 8*z - 6. Let d(y) = -y**2 - 3*y + 7. Let r be d(0). Let n be c(r). Solve 5 = -2*j + n for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*w - 4*q = -0*w + 8, 5*q + 32 = 3*w. Suppose -w*g - 5*l - 21 = 0, 13 = 2*g - 4*g - 3*l. What is the units digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(i) = 4*i + 30. Let p be a(-7). Solve -4 = p*z + 2*z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 50268*f**2 - 1 + 4*f**3 - 50280*f**2 - 6*f + 16*f to z*f**2 + u*f + l*f**3 + q and give l.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 323 and 671891.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let t(w) be the third derivative of w**5\/15 + w**3 + 38*w**2. Suppose 10*q = 8*q - 6. Let y be t(q). Calculate the greatest common factor of y and 42.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 e and 1 q when two letters picked without replacement from eezeeeqecerzevc?\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 131335?\nAnswer: 5, 26267","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 131328\/109 or 1204?\nAnswer: 131328\/109","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 922 and -22676.\nAnswer: -20907272","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 50, 123, 220, 341, 486, 655?\nAnswer: 848","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -25 times 4451360?\nAnswer: -111284000","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Work out -266 * -1.\nAnswer: 266","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 1 - -171452?\nAnswer: 171453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 7 + 6cff?\nAnswer: 6d06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 4 or 874\/43?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Factor 1\/4*f**3 + 1 - f - 1\/4*f**2.\nAnswer: (f - 2)*(f - 1)*(f + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4 + -4 + ((sqrt(405) + sqrt(405) + (sqrt(405) + -1 - sqrt(405) - sqrt(405)))*-5 - sqrt(405)*1*-3).\nAnswer: -18*sqrt(5) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 151499 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*r - 8*r = 0. Suppose 3*j - j = -2*a + 4, r = -5*a + j + 40. What are the prime factors of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 2 + (10 - 16) - (-20 - -33).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 195 + -1 - ((-80)\/5)\/(-4).\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(j) = -j**3 - 9*j**2 + 5*j + 41. Give f(-9).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -7*s**5 + 2*s**3 + 148*s**2 + 1?\nAnswer: -420*s**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence oo when two letters picked without replacement from {o: 4, v: 6, s: 3}.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence xz when two letters picked without replacement from {z: 2, o: 1, x: 1, q: 3, r: 4, n: 1}.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 times -0.17441?\nAnswer: -0.34882","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00130766 to 4 dps.\nAnswer: 0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2 = -j + 5*z + 7, -5*z = 5*j - 85. Suppose 5*m - 2*u = 132, 2*u = m + 6*u - 22. What is the remainder when m is divided by j?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -108 - -108.32. Let i = q + -0.02. What is the closest to -0.2 in i, -1, 5, 0.4?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 18 + -21. Let b(m) = -6*m**2 - m. Let i be b(-1). Sort i, u, -6 in increasing order.\nAnswer: -6, i, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 5 and 30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -60 in -0.3, -2, -0.4, 24?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let a(k) = -k**2 - 12*k + 12. Let s(x) = 3*x**2 + 35*x - 35. Let i(j) = -17*a(j) - 6*s(j). What is i(-8)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -3*h**5*q + 261*h**3*q - 35*h*q - 2*h - 4*q + 4 wrt h.\nAnswer: -60*h**3*q + 1566*h*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: -2102697 - -2953\nAnswer: -2099744","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -6544 + 2*c + 3276 + 3268.\nAnswer: 2*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 13 + (6 - (12 + 6))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q(a) = -10*a + 23. Suppose -2*s = -3*t + 11, -2*t + 3 + 11 = 2*s. Let n be q(t). Let w = 42 + n. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 1765764 and 1287?\nAnswer: 1765764","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let r(z) be the second derivative of z**4\/12 - z**3 - 4*z**2 + 2*z. Let m be r(10). Suppose 0*b - 4*b + m = d, -3*d = 0. Solve -s - b = s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from vvrcvrvzvvczvzrzvvvr. Give prob of sequence vrv.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1418\/9 or -158?\nAnswer: -158","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let u(k) = 223*k + 6244. What is u(-28)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let v(i) = -i + 6. Let b(y) = -5*y + 4*y + 5 + 0. Let z(f) = -f**3 - 5*f**2 - 3*f + 5. Let s be z(-4). Let p be 4\/6*6*s. Calculate p*v(m) - 5*b(m).\nAnswer: m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 14 + (-26 - (1 - 0)) + (3 - -51).\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8 = -5*n + 7. Let o = 6 - n. Suppose -4*u + 4*d + 74 = 10, o*u - 32 = -5*d. Calculate the smallest common multiple of u and 10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 21\/554?  (a) 1  (b) 0.022  (c) 3  (d) 0.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is -4904616 divided by 3?\nAnswer: -1634872","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -1479240, -1479070, -1478900, -1478730?\nAnswer: -1478560","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 10046713, 10046714, 10046715, 10046716, 10046717?\nAnswer: 10046718","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4958*g = 6532*g - 4722 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let w(u) = u**2 - 15*u + 1. Determine w(11).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -5 + (13 - 3) - (-2 - (1 - -1)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.11957 * 8.\nAnswer: 0.95656","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1108 (base 10) to base 11.\nAnswer: -918","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(110)*-3*-5*-1)\/((3*sqrt(5760) + sqrt(40))\/sqrt(4)).\nAnswer: -15*sqrt(11)\/37","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -778 - -5437\/7. Let d = c + 38\/35. Sort 6, -2\/5, d in descending order.\nAnswer: 6, d, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 3 - 86171?\nAnswer: -86167","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(51)\/(sqrt(432)*3).\nAnswer: sqrt(17)\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Put together 2769935 and -0.1.\nAnswer: 2769934.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 17366205, 34732415, 52098625, 69464835?\n\"Answer: 17366210*z - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {p: 11, l: 6, s: 1}. What is prob of picking 2 p and 2 l?\nAnswer: 55\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 4390337 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 190207 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -30?  (a) -0.5  (b) -12  (c) 89\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let j(b) be the first derivative of -b**3 + 49*b**2\/2 - 87*b + 240. Find the first derivative of j(f) wrt f.\nAnswer: -6*f + 49","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(17) - -1*sqrt(17)) + -3 + 3*sqrt(68))**2*1.\nAnswer: -48*sqrt(17) + 1097","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 839?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -93\/1164820 and 40\/1339543.\nAnswer: 26790860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 13470, 13471, 13472, 13473, 13474, 13475?\n\"Answer: a + 13469","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -10*g**5 - 20*g**3 + 76*g - 2?\nAnswer: -200*g**3 - 120*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let q(j) = -5*j. Suppose -4*t + 27 = -t. Let f(b) = -9 - 2*b**2 + t. Determine f(q(o)).\nAnswer: -50*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let d(j) = -2*j**3 - j**2 - 8*j. Suppose 7*t + 6 = 13. Let o(f) = -f + 4. Let v(z) = -1. Let i(l) = o(l) + 4*v(l). Give t*d(n) - 6*i(n).\nAnswer: -2*n**3 - n**2 - 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 21 a factor of 80047739?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3700939116.\nAnswer: 2, 3, 7, 199, 221401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let n(c) = 6*c - 22. Let p(v) = -v. Calculate -n(x) - 3*p(x).\nAnswer: -3*x + 22","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 4238393 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 493 minutes after 1:00 PM?\nAnswer: 9:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: -1 - 69769775959\nAnswer: -69769775960","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 69927294.\nAnswer: 2, 3, 29, 479, 839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 62218 rounded to the nearest one hundred?\nAnswer: 62200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 649*7908.\nAnswer: 5132292","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -10*p + 15*p + 7*p + 12*p.\nAnswer: 24*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 3\/50 of a litre?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w be ((-8)\/(-24))\/(2\/6). Let z be w + 7 + 12\/(-4). Suppose -3*k = -19 - z. Is 8 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 151034128?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 1111120120 - -11?\nAnswer: 1111120201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 39001 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 50974554 to the nearest integer?\nAnswer: 7140","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*s + 5*s - 4*x + 26 = 0, 0 = 2*s - 4*x + 16. Is 47 a factor of (-1087 + s + 4)*-1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 574 = 2*v - 36. Suppose 0 = 4*w + 3*y - 244, -5*w + 0*y = -5*y - v. Calculate the remainder when w is divided by 24.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(i) = 2*i**3 + 12*i**2 - 16*i - 14. Let x be z(-7). Suppose 5*m - 3537 = -4*s, 14*m - 13*m + 4*s - 717 = x. What are the prime factors of m?\nAnswer: 3, 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(k) = -4*k. Let p(l) = -73437*l**2 + 624*l - 3744. Let q(h) = 1175*h**2 - 10*h + 60. Let b(c) = 5*p(c) + 312*q(c). What is b(o(z))?\nAnswer: -9360*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is -9615 divided by -6?\nAnswer: 3205\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -180, -777, -1792, -3243, -5148, -7525?\nAnswer: -10392","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -1 + -25828?\nAnswer: -25829","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 12 and 390?\nAnswer: 378","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4086777.\nAnswer: 3, 53, 25703","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 7611*y**4 - 30*y**2 - 96?\nAnswer: 182664*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*p**3 + 440*p**2 + 79334*p - 160412.\nAnswer: -2*(p - 337)*(p - 2)*(p + 119)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*b**4\/11 + 296*b**3\/11 + 3334*b**2\/11 - 27780*b\/11 + 45504\/11 = 0. Calculate b.\nAnswer: -16, 3, 158","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let x(g) = 26*g**3 + 16*g**2 - 16*g. Let d(o) = 5*o**3 + 3*o**2 - 3*o. Suppose 5*w - 3*w + 384 = 4*k, -738 = 4*w + 2*k. Let n = 183 + w. Give n*x(u) + 16*d(u).\nAnswer: 2*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -40 - -52. Suppose 0*v - 3 = -v. Suppose -v*x + 5*x = z. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1395948355 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let a(i) = -i**3 - 18*i**2 + 2*i + 36. Let u be a(-18). Suppose -3*x = -3*z + 1983 + 774, u = 4*z - x - 3664. What are the prime factors of z?\nAnswer: 3, 5, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(k) = -k**2 - 54. Let c(q) = -5*q. Calculate c(y(a)).\nAnswer: 5*a**2 + 270","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.0953 in -0.5, 1\/7, -1, -2\/71?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 22657815317 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let s(p) = 90*p**3 + 6*p**2 - 6*p. Let l(j) = -540*j**3 - 35*j**2 + 35*j. Give 6*l(t) + 35*s(t).\nAnswer: -90*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -155\/2268 and -97\/24948.\nAnswer: 24948","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 441582?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Put 5, -3\/4, 0.4, -0.3 in descending order.\nAnswer: 5, 0.4, -0.3, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -39*i - 398818 + 1179559. Round i to the nearest 1000.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-49)\/5 + 4\/5. Let q be 0 + -1 + l\/(-5). Let z = 2 + 0. What is the second biggest value in z, q, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4 + 0 + (sqrt(1400) - sqrt(1400)*-2)\/(sqrt(200) + 2*sqrt(200) + sqrt(200)) + -1 + 5.\nAnswer: 3*sqrt(7)\/4 + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose s - 1 = 3. Let h be s - (-2)\/(-3)*-9. Solve 5*d + 2 = -5*p - 3, -d - h = -2*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:09 AM and 7:42 AM?\nAnswer: 453","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 50 a factor of 749?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 2574\/((-6)\/4*(355\/45 + -8)) a multiple of 234?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(m) = -91*m + 19404. Calculate h(212).\nAnswer: 112","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 3 + 3\/(9\/(-159)). Let f be 10\/(-25)*w\/4. Suppose 78 = i - 5*d, 5*d = -0*i + f*i - 470. Does 28 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(h) = 6*h. Let a(c) = -c**2 + 5*c. Let v(m) = -m**2 + 7*m. Let l(z) = -z**2 + 8*z - 7. Let t be l(8). Let w(y) = t*a(y) + 5*v(y). Determine f(w(g)).\nAnswer: 12*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 17865955 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 13 + -9. Suppose f*n = -2*y - 2, -3*n - 9 = -3*y + 2*y. Suppose 0 = y*w - 2*q - 74, 0*w + w - q - 25 = 0. List the prime factors of w.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 220 - 502. Let d = -148 - x. What is the hundreds digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s*s**(-3\/10)\/s)**22 assuming s is positive.\nAnswer: s**(-33\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: (3\/(-27)*-3)\/(7\/63)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -148*s + 444, -3*s + 6 = 247*t - 246*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 1634286?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let z(d) = -3*d**4 + 5*d**2 - 3*d - 3. Let w(l) = -6*l**4 + 10*l**2 - 5*l - 5. Let n(u) = -6*w(u) + 10*z(u). What is the third derivative of n(m) wrt m?\nAnswer: 144*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (2 + -4 + 4)*(-7)\/((-112)\/72). Suppose -3 = -3*i + 54. Suppose -i = -4*l - 7. Solve z + 6 = l*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -115, -102, -73, -22, 57?\n\"Answer: w**3 + 2*w**2 - 118","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m(d) = d**2 + d + 3. Let l be m(0). Let r(n) = 5*n + 2. Let y be r(l). Suppose c - 2*w - y = 2*w, -3*c + 51 = -5*w. What is the units digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 5710 is divided by 1291.\nAnswer: 546","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1949.\nAnswer: 1949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*i + 2*i - i + (-27*i - 34*i + 40*i)*(6 + 2 - 4).\nAnswer: -85*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 7.128 + 0.872. What is the third biggest value in -4\/5, 57, d?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(b) = -6*b**2 + 13*b + 11. Let p(j) = -3*j**2 + 7*j + 6. Let t = 35 + -51. Let m = t + 5. Let k be ((-1)\/3)\/(2\/(-36)). What is k*x(u) + m*p(u)?\nAnswer: -3*u**2 + u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (3 + -5 - 0)\/((-4)\/(-18))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -608653 or -608659?\nAnswer: -608659","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: 12 - 14 - (-2 - -2 - -1)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d(a) = -a**3 + 7*a**2 + 51*a - 336. What is the common denominator of d(7) and 69\/88?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((6*(1 + sqrt(405)) + 1)*-4 - (1*sqrt(405)*4 + (sqrt(405) - (sqrt(405) + -2*sqrt(405) + sqrt(405) + sqrt(405))*-2)))**2.\nAnswer: 15624*sqrt(5) + 389989","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 20\/8*(-2)\/1?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find q, given that -10*q**3 - 475*q**2 + 1265*q + 750 = 0.\nAnswer: -50, -1\/2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -60 - -a?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -422 + 417. What is the nearest to -0.1 in f, -2, 1, 12?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -24 < 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 13.016927415 rounded to 1 dp?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4435 = 7*w - 4490. Suppose -7*c = 449 - w. What is the remainder when c is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 61*y = 60*y - 5*l + 1578, 4*l = -4*y + 6280. What is the units digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 125016542?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1*(-1 + sqrt(1872)).\nAnswer: -1 + 12*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0.0173 or 31790?\nAnswer: 0.0173","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -a**2*w + 33467*a**2 + 7*a*w + a - 9237269*w wrt a.\nAnswer: -2*a*w + 66934*a + 7*w + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let h(i) = i - 3. Let b(o) = -6*o - 2. Let v(r) = 3*b(r) - 2*h(r). Let t(w) = -w + 1 - 1. Give t(v(a)).\nAnswer: 20*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.85221 to 1 decimal place.\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -2\/13  (b) -4\/3  (c) -3\/5  (d) 11  (e) -10.6  (f) -0.5  (g) 6\/59\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = a, 2*m + 0*a = 5*a + 10. Suppose -4 = v - m*v. Suppose w - 4 = v. Solve 0 = -4*y + w*y - 1 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*b**4\/13 - 22*b**3\/13 + 74*b**2\/13 - 90*b\/13 + 36\/13 = 0 for b.\nAnswer: 1, 3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -10010 - -10010010001100011001?\nAnswer: 10010010001100000111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -b - 40 + 133 = 0. Calculate the remainder when b is divided by 32.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(g) = -g**3 + 32*g**2 + 377*g + 51. Let i be v(41). What is the highest common factor of 1 and i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(n) = -4 + 3 + 2 + n + 3. Calculate x(0).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 37\/5027 and 73\/6855?\nAnswer: 75405","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Does 321 divide 663587?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -45*d + 2052 = 126*d. Solve d*h + 318 - 234 = 0 for h.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -83\/1350 and 73\/357750.\nAnswer: 357750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Convert -57515540 (base 8) to base 13.\nAnswer: -27849b7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4824 divided by 11494.\nAnswer: 2412\/5747","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*z + 4*j - 70, -z - 2*z + j + 84 = 0. Solve 13*a + 5*a**3 + 16*a + 9*a**2 - z*a**2 - 10 - 4*a = 0 for a.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -31259, -62517, -93775, -125033, -156291?\n\"Answer: -31258*s - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {v: 6, w: 4}. Give prob of sequence wwv.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 336765233 to the power of 1\/2, to the nearest integer?\nAnswer: 18351","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*d - 5 = -53*g, 4*g + 510*d - 5 = 505*d for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is (474\/(-15))\/(4\/(-5))*2 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.0534 - 1351.52.\nAnswer: -1351.5734","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3896876338?\nAnswer: 2, 23, 84714703","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let l(i) = 9*i**3 - i + 1. Let x be l(1). Solve 4*q + x = 5*d + 27, -4*q = -d - 10 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 15109834 and 1462242.\nAnswer: 45329502","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*b = 3*n + 2*n - 129, -3*b = -4*n - 159. What is the units digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 16428 to the power of 1\/3, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4 - t**2 - 3 + 0)*(5*t**2 + 0*t**2 + 0*t**2)*(0 - 5 - 7).\nAnswer: 60*t**4 - 60*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -1.0582 and 0.01?\nAnswer: -0.010582","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*p = -y + 11, -p = -4*y + 4*p - 21. What are the prime factors of (-3)\/((y\/(-12))\/((-38)\/(-18)))?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/((-627)\/(-9)) + ((-129)\/33 - -4)?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence fx when two letters picked without replacement from ftffftfxffftftttx.\nAnswer: 9\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence tkx when three letters picked without replacement from {u: 1, x: 7, b: 2, t: 4, k: 2}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 40295098 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*j = 3*a - 1347, 2189 = -66*a + 71*a + 2*j. What is the third smallest value in a, -2\/9, 2?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.2 and -53.\nAnswer: -10.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 37*s**4 + 1837*s - 1837*s + 654 wrt s?\nAnswer: 148*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-6 - 9 - 2)*(-1 + 3 + 0)*(-10 - 6*m + 10).\nAnswer: 204*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -55162 = -29*h - 55191 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve q = 161 - 151 for q.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 280847 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -2 + 5. Suppose 4*h - 29 + 4 = -3*r, -w*r + 9 = 0. Let b be h\/((-2)\/(-2)*2). Is b smaller than 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((z**(1\/2)*z*z)\/(z\/(z*z*z\/((z\/z**(-9))\/z*z))))**(-18)\/((z\/(z\/z**(-1\/10)))\/z**4)**(-2\/3) assuming z is positive.\nAnswer: z**(1444\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -109\/310 - 3\/62. What is the closest to 0 in 1\/4, 4, w?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of (-16)\/8 + 937 + 1 and 1716.\nAnswer: 10296","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(i) be the third derivative of i**6\/60 - i**5\/30 + i**4\/24 - i**3\/6 - 19*i**2. Calculate y(2).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 98112537*o**2 + 29886884*o + 4 wrt o.\nAnswer: 196225074","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 1638 and 1267.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 7735 + -7720. Solve 5 = -2*c + 4*z - d, -2*c - 3*z = -1 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-3)\/(2 - (-1)\/(-2)*6). Let q(g) be the second derivative of -3\/8*g**5 + 2*g + 0 + 3\/8*g**2 - 5\/8*g**i - 1\/56*g**7 + 1\/8*g**6 + 5\/8*g**4. Factor q(y).\nAnswer: -3*(y - 1)**5\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 13383\/2 + -254273\/38. Let u = -5 + 8. Suppose 0*v - x*v**4 - 8\/19*v**u - 8\/19*v**2 + 0 = 0. What is v?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(y) = -6*y**3 - 13*y - 4. Let m(o) = 7*o**3 + 12*o + 5. Let f(d) = 5*l(d) + 4*m(d). Find the second derivative of f(g) wrt g.\nAnswer: -12*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -1090 - -1095. Sort 4, m, 0 in decreasing order.\nAnswer: m, 4, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, -8, -29.\nAnswer: -29, -8, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*q = -q - 5*y - 13, 3*q - 5*y - 11 = 0. What is the greatest common divisor of q and 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 203 (base 9) in base 2?\nAnswer: 10100101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*p - 98 = 14. Let y = 13 + -9. What is the highest common factor of y and p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-2*-2*sqrt(1089) - sqrt(1089)) + 5*(1*sqrt(1089) + sqrt(1089)))\/(3*(sqrt(1728) + sqrt(1728)*2 - sqrt(1728))).\nAnswer: 143*sqrt(3)\/144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 65251 is divided by 155?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 118 a factor of 24855646?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 40 + -3?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-2220)\/(-74)*(-8)\/12?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v(k) = k**2 - 11*k + 1. Let z(d) = 8*d**2 - 101*d + 8. Let q(y) = 10*v(y) - z(y). Suppose 15 = 2*t + 3. What is q(t)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -22826, -91362, -205578, -365468, -571026, -822246, -1119122?\nAnswer: -1461648","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*r - 10 = 3*t - 21, t - 5*r - 15 = 0 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p\/p**6)**(-2\/119) assuming p is positive.\nAnswer: p**(10\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let m(b) = 6*b**2 + 6*b + 3. Let p(n) = 5*n**2 + 4*n + 2. Let i(f) = 2*m(f) - 3*p(f). Let v(y) = -28*y + 2. Calculate i(v(l)).\nAnswer: -2352*l**2 + 336*l - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let p be ((-8)\/(-14))\/(14\/49). Suppose -p*x - 3*x + x = 0. What is the third smallest value in -2\/5, x, 0.05?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 2217462331 to the nearest integer?\nAnswer: 47090","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let t(s) = 4*s**2. Let y(r) = 2495*r. Give y(t(h)).\nAnswer: 9980*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((y\/((y**(-5\/4)*y)\/y))\/y**(-10))**(-8\/11))**(19\/2) assuming y is positive.\nAnswer: y**(-931\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let w(k) = k. Let z = 524 + -520. Suppose -2*q + 2 + 8 = 0. Let b(r) = 5. Let i(o) = o**2 - 4. Let v(f) = q*i(f) + z*b(f). Determine w(v(a)).\nAnswer: 5*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -8*b + 3*b + h - 17 = 0, 0 = 5*h - 10 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Round -59033530 to the nearest 1000000.\nAnswer: -59000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1\/773 in 0.132, 1, -1\/4?\nAnswer: 0.132","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 16 + -13. Suppose 5*h = 3*v - 49, -v - n*h = -2*v + 15. What is the units digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 2.7050468 to 3 decimal places.\nAnswer: 2.705","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 14017 + -13857. Calculate the highest common factor of 25 and j.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(i) = -5407*i - 351553. Calculate o(-65).\nAnswer: -98","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*k = 4*n - 12, 4*k + n = 4*n - 7 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 101599 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -3 - -1. Let n be (-5)\/w + 12\/(-8). Let z = -338.9 + 339. Which is the closest to n?  (a) 0.4  (b) z  (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 157*b*f + 206*b wrt f?\nAnswer: 157*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 281216 or 281217?\nAnswer: 281216","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 200840 is divided by 274?\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let f(q) = q**3. Suppose 2*j - 4 - 2 = 0. Let o(u) = 4*u - j*u - 2*u + 7*u**3. Let t = 3 + -4. Determine t*o(x) + 6*f(x).\nAnswer: -x**3 + x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Are 2\/87 and 7416 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 m and 1 n when two letters picked without replacement from mmdndmk.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 31848 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 820 - 595. Is i a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(a) = 0*a - 2*a + 3*a + 9. Let o be f(-7). Let j be (-12)\/(-15)*(1 + 14). Solve -6 - 2 = -o*n, -4*l - 2*n + j = 0 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 0 - 2\/3*f**2 + 0*f - 4*f**3 + 49\/6*f**5 - 7\/2*f**4 = 0. What is f?\nAnswer: -2\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(o) = -o**3 - 2*o**2 + 3*o + 1. Let a be b(-4). Let g(u) = -5*u**2 - 59*u + 18. Let l be g(-12). Calculate the highest common factor of l and a.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of (28\/(-10))\/((-182)\/260)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-2)\/(-7) + (-40)\/(-154). Let q = 71 + 72. Let h = q + -143.5. What is the third biggest value in h, 0.4, w?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 2*s**4 - 18*s**3 - 25508*s**2 - 25488*s = 0. Calculate s.\nAnswer: -108, -1, 0, 118","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 87\/172 and -67\/8?\nAnswer: 344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let -2*t**3\/7 + 2794*t**2\/7 - 960256*t\/7 - 10903552\/7 = 0. Calculate t.\nAnswer: -11, 704","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -41 - -818. Suppose -3*q = p + 4656. Let x = q - -2860. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(h) = 2*h. Let j(q) = 2528422*q. What is j(l(m))?\nAnswer: 5056844*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 49 - 48.24. Let p = d - 0.36. Let y = -4\/11 + 17\/77. Which is the biggest value?  (a) 2  (b) y  (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -147 = 138*v - 125*v + 4*z + 158, 0 = 4*v - 2*v + 3*z + 35 for v.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 370163121 take away 0.06?\nAnswer: 370163120.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Put -97, 4, -5, 14, -2, -4 in increasing order.\nAnswer: -97, -5, -4, -2, 4, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1 divided by 832.\nAnswer: -1\/832","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 11109 to the nearest integer?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:34 PM and 5:47 PM?\nAnswer: 313","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: 5826982+-71973952\nAnswer: -66146970","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (b\/b**0)**9 assuming b is positive.\nAnswer: b**9","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (10\/2925*9)\/(-10*20\/750).\nAnswer: -3\/26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 3499 - 24. Let j be l\/10 - 3\/(-7 - -1). What is the greatest common divisor of 12 and j?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 559?\nAnswer: 13, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*x + 2*c = -18, -2*c = -x + 2286 - 2284 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -1161794*a*y + 752561*y wrt a?\nAnswer: -1161794*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 18\/(-189)*(-126)\/(-140)?\nAnswer: -3\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 245503 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 20 a factor of 248\/6*6642\/328?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find t such that 5\/4*t**4 - 5\/4*t + 5\/4*t**3 + 5\/2 - 15\/4*t**2 = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 753952 is divided by 51.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4 + 4 + sqrt(288) + 0 + -5 + 3 + 5 + -5.\nAnswer: -2 + 12*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Convert -a108c4 (base 13) to base 2.\nAnswer: -1110010001110100011011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 8291586 is divided by 1658289?\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from qqvqqqvqvqqqqqvqqvqq. Give prob of picking 2 v and 1 q.\nAnswer: 5\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from mbmkb. What is prob of sequence mbk?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.1 in 13, -4\/5, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 1090 + -547. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -709 (base 12) to base 8.\nAnswer: -1771","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 218 is divided by 40?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 12282 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in three fifths of a week?\nAnswer: 6048","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 223577 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -697, -692, -701, -730, -785, -872, -997?\n\"Answer: -z**3 - z**2 + 15*z - 710","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-44)\/316*((-84)\/(-66))\/7.\nAnswer: -2\/79","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p(z) be the first derivative of -19*z**4\/4 - 13*z**3\/3 + z - 53. Find the third derivative of p(j) wrt j.\nAnswer: -114","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 640943 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 - f + 0*f - 2*f)*(f**2 + f**2 - 3*f**2).\nAnswer: 3*f**3 + 2*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let m(j) = -48 + 196 + 235*j - 244*j. Let p be m(17). Let y(n) = n**2 + 6*n + 11. Calculate y(p).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -8\/3 - 2\/3*t**4 - 28\/3*t - 10*t**2 - 13\/3*t**3.\nAnswer: -(t + 2)**3*(2*t + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -4 + 21 + 51*h**2 - 107*h**2 + 22*h**2 as c*h**2 + w + j*h and give c.\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -13*v + 18 + 2 - 16 to l*v + i and give l.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let a(v) = -3*v**2. Let d(p) = p**2 + 21*p + 1. Let z be d(-20). Let f be 1 - 2 - (z + 16). Let h(r) = -20*r**2 - 13*r**2 + 35*r**f. Calculate a(h(j)).\nAnswer: -12*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2\/11?  (a) 2\/13  (b) -12\/11  (c) 3  (d) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Does 14 divide 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 3 + 223?\nAnswer: 226","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 706289 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in twenty-one quarters of a hour?\nAnswer: 18900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 595667 to the nearest integer?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((i**(2\/11)\/(i\/((i**(-2\/21)\/i*i)\/i)))\/(i**0\/i*i)**(1\/2))**42 assuming i is positive.\nAnswer: i**(-884\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 19478 - 19478 + 154831*m.\nAnswer: 154831*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 152448?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 11\/4 of a millennium?\nAnswer: 33000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (21 - 22 - 5*t - 4*t)*(-4 + 259*t - t**2 - 259*t) to u*t + j + c*t**2 + f*t**3 and give j.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence qoqq when four letters picked without replacement from {r: 5, q: 3, o: 8}.\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let x(t) be the second derivative of 0*t**3 + 0*t**5 + 0*t**4 - 2*t**2 + 1\/6*t**6 + 2*t + 0. Find the first derivative of x(m) wrt m.\nAnswer: 20*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 328 - -430. List the prime factors of r.\nAnswer: 2, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x**(-4\/7)\/(x*x**2)*x**7*x*x\/(x**(-1\/11)*x))\/((x**(-2\/7)\/x)\/(x\/x**(-3\/4)))**13 assuming x is positive.\nAnswer: x**(13547\/308)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -40583, -81188, -121795, -162404, -203015, -243628, -284243?\n\"Answer: -z**2 - 40602*z + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand -r**2 - 2*r**4 + r**2 + (r - r + r**3)*(-5*r + 4*r + 4*r) + (-r**3 + 3*r**3 - 3*r**3)*(0*r + 2*r - 5*r) + 0*r**4 - 2*r**4 + 0*r**4.\nAnswer: 2*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1797?  (a) -2\/9  (b) -6  (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Sort 38, -7, 310, -1, 7 in descending order.\nAnswer: 310, 38, 7, -1, -7","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*j - 2*a + 8 = 0, -j + a + 8 = 4*j. Suppose j*u - 101 = -t + 6*u, u = 2. List the prime factors of t.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 1455*p**6 + 8*p**4 - 3928*p**3 - 511783777*p**2 wrt p?\nAnswer: 174600*p**3 + 192*p - 23568","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -12 = -2*z + 4*c, -5*z - 2*c = 14 + 4 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -22, 10, 102, 284, 586, 1038, 1670?\n\"Answer: 5*t**3 - 3*t - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Round 60613.66 to the nearest one hundred.\nAnswer: 60600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*n = 3*y, -4*y - 3*n + 2*n + 3 = 0 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -62 + 59. Let r be (-14)\/(-6) - (4 - (-11)\/n). Solve 4*l - 2 = r*x, -16 = 4*l - 0*x + 4*x for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 4403 and 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is one fifth of a second in milliseconds?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 669 minutes before 5:05 AM?\nAnswer: 5:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -73\/95010 and 2\/25?\nAnswer: 475050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is -408 rounded to the nearest one thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -4 + 2. Let s = m + 4. Let t = -1.96 + s. Does 0.1 = t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(v) be the second derivative of v**3\/6 - v. Let q(n) = -1. Let i = 10 - -54. Suppose -63*w - 1 = -i*w. Determine w*o(c) - 2*q(c).\nAnswer: c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1760?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 1572 and 1164?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -44 + 61. Find the second derivative of 8*n - n + n**2 + 2*n - v*n**2 wrt n.\nAnswer: -32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*d - 44 = -4*m, -3*m = d + 10 - 39. Let x be (-2)\/(-1)*6\/4. Sort d, x, -4, 0.\nAnswer: -4, 0, d, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -20b + -29?\nAnswer: -237","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 23968?\nAnswer: 2, 7, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 72, 249, 544, 957, 1488, 2137, 2904?\nAnswer: 3789","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 5*-2*-4*(-1)\/40?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 19*i = 25 - 6 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-1)\/(-15) - 440\/6600. Factor 4\/5*j**4 + 0*j + 4*j**2 - 24\/5*j**3 + o.\nAnswer: 4*j**2*(j - 5)*(j - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 17589 and 55?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 97274237 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:57 AM and 11:25 AM?\nAnswer: 148","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 4 and 178?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 1449331 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let p(x) = x**2 + 18*x - 74. Let q be p(-22). Let j(v) = 2*v - 32. What is j(q)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*y + 16*y + 18*y)*(2*y - 1 + 0 + 6).\nAnswer: 62*y**2 + 155*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4 = 3*s + 19. Let b = s + 9. Let a(v) = -v**3 - 89*v**2 - 272*v - 1074. Calculate the smallest common multiple of b and a(-86).\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 200012 and 4650?\nAnswer: 15000900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 2325 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((q**(-1\/4))**(-17))**(-33)\/(((q*q\/q**0*q)\/q*q*q*(q\/(q*q\/(q\/q**(-4))))\/q*q*q)\/(q*q**2*q*q**(-6))) assuming q is positive.\nAnswer: q**(-605\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {s: 12, y: 6}. Give prob of picking 2 s and 2 y.\nAnswer: 11\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let m(z) = -5*z + 3. Let t(y) = -9*y + 5. Let h(s) = -7*m(s) + 4*t(s). Suppose 5*d - 26 = -3*v + 4*d, -v = -4*d - 13. Suppose -v*j - 4 = -5*j. Determine h(j).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(b) be the second derivative of b**5\/20 + b**4\/4 - b**3 - 5*b**2 + b. List the prime factors of u(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 7599064727 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3\/12 + ((-183931)\/(-44))\/23 is divided by (-6)\/4*(5 - 43)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3 (base 9) in base 11?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2834*x + 14109*x - 2827*x + 2*x**3 - 2834*x - 2837*x - 2777*x.\nAnswer: 2*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let z(u) = 4317*u - 781410. Determine z(181).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3 = -4*d + 5*z + 6, 1 = -z. Suppose -d = c + 1. Let k(r) = r**2 - r. Let s(y) = -2*y**3 + 2*y**2 - 6*y - 1. Let g(u) = 5*k(u) - s(u). Determine g(c).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 46 in -2, -2\/11, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 974 - 978. Let x(u) = -9*u**2 + 6*u + 5. Let a(z) = 10*z**2 - 5*z - 4. Calculate g*x(j) - 5*a(j).\nAnswer: -14*j**2 + j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2*s + 3*s - 2*s**3 - 4*s + (4 - 2 - 1)*(-2*s + 3*s + 4*s)*(28*s**2 + 35*s**2 - 19*s**2) to a*s**3 + m*s + f*s**2 + d and give a.\nAnswer: 218","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 277 minutes before 9:04 AM?\nAnswer: 4:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -352*c = -345*c - 7 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let o(u) = 26383*u + 26311. Calculate o(-1).\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*j = 13*j. Which is greater: 2\/23 or j?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.55018 millennia to years.\nAnswer: 550.18","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p(m) = 5*m**3 + 9*m**2 + 4. Let d(f) = -f**3 - f**2. Give 6*d(y) + p(y).\nAnswer: -y**3 + 3*y**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*q - 3*q + 2*q)*(853*q**4 + 844*q**4 - 3 + 3).\nAnswer: -1697*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let t(p) be the second derivative of -478*p**5\/5 - 859*p**4\/12 + 499*p. What is the third derivative of t(u) wrt u?\nAnswer: -11472","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -3 times 8536.0193\nAnswer: -25608.0579","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*i - 2*i - 3 = k, -12 = -2*k + i. Solve -k*p - 2*p - 14 = 0 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of g**5 - 24*g**3 + 73*g**2 wrt g?\nAnswer: 60*g**2 - 144","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: -0.4*25813\nAnswer: -10325.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l**(-3\/13)*l)\/l*l**(20\/9) assuming l is positive.\nAnswer: l**(233\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 0.46 - -1.54. Let p = 8 + -8. Let x = -0.1 - p. Which is the second smallest value?  (a) x  (b) 0.4  (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1850084.\nAnswer: 2, 29, 41, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: -3 (base 13) to base 15\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -47\/259787130 and -59\/18022.\nAnswer: 259787130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -u = 3*t + 2*t - 7399, 5*u - 37079 = -4*t. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 9, -13, -3, 2210, -1, -24, -5 in decreasing order.\nAnswer: 2210, 9, -1, -3, -5, -13, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 642 and 2461.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5 + 2 + 0)*(-1 + 8 - 1)*(-15 - 4*t + 15).\nAnswer: 72*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*v - 24*v = 5*n - 120, 4*v - 3854*n - 24 = -3866*n for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1387267914?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -m = 5*u - 23154, -m + 2699 = -4*u - 20518. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 0.25, -48, 1?\nAnswer: -48","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 68\/208207545 and -74\/33?\nAnswer: 2290282995","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let f(o) be the second derivative of -o**7\/420 + 34*o**4\/3 - 13*o + 4. Let z(b) be the third derivative of f(b). Let w(u) = 7*u**2. Calculate z(w(m)).\nAnswer: -294*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from tvvtvt. Give prob of sequence vttv.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -531 = 6*p - 5*p - 3*u, -4*p + 5*u - 2124 = 0. Let j = p - -905. What is the units digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 241484 to the power of 1\/6, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 2110213000213 + -2?\nAnswer: 2110213000211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 22 + 10 + -72 + 71 - (0 + -9 - -1).\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 8159 is divided by 616?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*d - 8, 0 = -3*w + 3*d - 2*d - 154. Let l = 85 + w. Does 7 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((r\/(r\/((r**9\/r)\/r*r)))**35*r**(-1\/12)\/r*r\/(r**(1\/13)\/r*r))**(-19) assuming r is positive.\nAnswer: r**(-829445\/156)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let a(w) = w**2 - 2*w + 266. Let z be a(0). Let c = -256 + z. Let l be (-3)\/(-2)*16\/6. What is the greatest common divisor of l and c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 7 divide 10375?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 92 and 92.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*k = 5*b - 2*b - 53, -4*k + 4*b + 56 = 0. Suppose -z - 2*g + 67 + 12 = 0, -z = 3*g - 82. What is the remainder when z is divided by k?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3199 is divided by 64?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 4271.41 kilometers in micrometers?\nAnswer: 4271410000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 37 a factor of 26740976?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -23 - (65 - 105 - -35).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i(n) = n**2 + 4*n - 27. Let b be i(-8). Suppose -b*p = 4*x - 10*p - 63, 4*x - 3*p - 65 = 0. Let k = 66 - 0. Calculate the remainder when k is divided by x.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4673*h - 4669*h = -16 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Round 1.56017363 to two dps.\nAnswer: 1.56","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 676 - 3?\nAnswer: 673","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 9\/3*(-2)\/(-12)*4.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 17326?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-3 + (-41)\/2)*2. Is c at least as big as -233\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -37*k + 138 = 27. What is the greatest common divisor of k and 39?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert a (base 14) to base 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 7189422814?\nAnswer: 2, 7, 157, 3270893","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-1)\/4 + (-3)\/(-12). Let p = k - 1. Let v be 6\/(-21) + 1 + p. Which is bigger: v or 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -139656\/95 + 280403883\/190760. Let u = l + 2\/251. What is the smallest value in 0, 6, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1816866967 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose w - 2 = 3. Suppose k = -2*u + 12, 0*k - w*u = -4*k + 61. Calculate the common denominator of -49\/10 and (k\/175)\/((-8)\/290).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in seventeen quarters of a litre?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -10*x**2 + 16272019*x + 169427768?\nAnswer: -20*x + 16272019","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -37 + 39. Find the second derivative of 8*c - c**q + 2*c + 8*c + 3*c**2 wrt c.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -h*z**3 + h*z**2 + h*z + 11471*z**3 - 49*z**2 - 2*z wrt z?\nAnswer: -6*h + 68826","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: -7+-0.0797166\nAnswer: -7.0797166","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 1.83 - 1.33. Which is the closest to 0?  (a) -14  (b) y  (c) -0.4  (d) -2\/17\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*g**2 - 62*g - 64 = 0 for g.\nAnswer: -1, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*l + 1436*n - 2875*n = -1438*n + 3, 2*l - 25*n + 154 + 156 = 0 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((w**8\/w)\/w*(w\/(w*w**(1\/6)\/w))\/w*w*w)**(-1\/95) assuming w is positive.\nAnswer: w**(-47\/570)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Round -63767 to the nearest ten thousand.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from pbzprbbbzbrizbbrrrab. What is prob of sequence apbp?\nAnswer: 2\/14535","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 903, 3487, 7769, 13737, 21379, 30683, 41637, 54229?\nAnswer: 68447","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 28230577 and 14963?\nAnswer: 1151","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -11\/64 and 61\/2288.\nAnswer: 9152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -1\/46  (b) -2096  (c) -98\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 122, 242, 348, 434, 494, 522, 512?\n\"Answer: -k**3 - k**2 + 130*k - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: (-25732)\/53302*5\/(-70)\nAnswer: 1\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 12*o**3 - 6*o**3 - 15*o - 7 - 14*o**3 + 9*o**3 to the form f*o**3 + q*o**2 + s*o + v and give v.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y**(-2\/19))**(-30)*((y\/y**(2\/19))\/y)\/y*y**6 assuming y is positive.\nAnswer: y**(153\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let i(o) = 13*o**2 - o + 1. Let r be (-4)\/18 + (-70)\/9. Let z be 4*(1 + 6\/r). Let u be i(z). Solve 3*q + 4 - u = 0 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(y) = -99*y + 4. Let k(q) = 295*q - 9. Calculate 8*f(g) + 3*k(g).\nAnswer: 93*g + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*sqrt(1029) + sqrt(1029))\/sqrt(7) + sqrt(12)\/((sqrt(96)\/sqrt(3))\/sqrt(8)).\nAnswer: sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -2c6 + 5?\nAnswer: -2c1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose n = 5*n - 3660. Suppose 4*a + 103 = n. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 10190459 a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 457 minutes before 7:18 AM?\nAnswer: 11:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 333558 and 158514174.\nAnswer: 1426627566","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Put 23\/2, -0.3, -79 in decreasing order.\nAnswer: 23\/2, -0.3, -79","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is -184.2829 take away 870664?\nAnswer: -870848.2829","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-2080)\/455 + (-3)\/7?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (573 - 556) + ((-167)\/(-33) - 1) + -21?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 0.6924974 years?\nAnswer: 8.3099688","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((j**(-2\/7)\/(j*(j*j**2)\/j*j*j))\/(j**1)**(-19))**(-17) assuming j is positive.\nAnswer: j**(-1632\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let k(h) = -h**2 + 9*h - 5. Let q be k(8). Sort q, -0.3, -5\/4 in increasing order.\nAnswer: -5\/4, -0.3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.000174428347 rounded to five decimal places?\nAnswer: -0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -p**3\/5 - 8396*p**2\/5 - 1013149*p\/5 - 30787554\/5 = 0. Calculate p.\nAnswer: -8274, -61","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -64 divided by -12972.\nAnswer: 16\/3243","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let j(h) be the first derivative of 2*h**3\/3 + 66. Let i(b) = -18*b**2. Calculate i(j(r)).\nAnswer: -72*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -1.866 + 2. Let k = 0.434 - w. Is 0.7 smaller than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -3*g**2 + 9*g**2 + g**2 + 6*g - 5*g**2 as u*g + h + r*g**2 and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -7 + 5. Let z = -468 + 5621\/12. Let y = 1\/6 - z. Is y smaller than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*j = -4*z + 26, 1 + 7 = 2*j + 3*z for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: 0.03 * -1865515\nAnswer: -55965.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let l(g) = g - 1. Let d(i) = -7*i - 3. Let z(k) = d(k) - 4*l(k). Let t be 1*((-9)\/3 + 2). What are the prime factors of z(t)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 51 is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1\/2?  (a) -15  (b) -259.2  (c) -1\/150  (d) -2  (e) 0.03\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 1338 a factor of 2033220?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 42697 is divided by 3283?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let n(q) = -4*q**2 + 332*q - 4292. Determine n(67).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -4528 + 4535. Let d(i) = -i**2 - 6*i - 5. Let r(w) = w**2 + 7*w + 6. Give p*d(h) + 6*r(h).\nAnswer: -h**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*p - p + 2792 = 5*y, 0 = 5*y - p - 2757. Are y and 1646\/3 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 489  (b) -2\/13  (c) 2  (d) 3  (e) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1998140034.\nAnswer: 2, 3, 11, 61, 45119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -25\/63 + 1\/9. Which is the second smallest value?  (a) 1\/6  (b) x  (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose n - 5*n = -908. Let z(l) = l**3 + 16*l**2 - 58*l - 15. Let g be z(-19). Suppose n = g*b - 173. List the prime factors of b.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 164554391 to the nearest integer?\nAnswer: 12828","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let v**3\/5 - 49*v**2\/5 = 0. Calculate v.\nAnswer: 0, 49","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -1.98 + -0.02. Let u = 67.3 + -67. Let t = -0.63 - -0.53. What is the nearest to t in u, a, -3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is three fifths of a kilogram in grams?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-53)\/60)\/1 + 1392\/10440?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 175784635 divided by 35156927?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is (23\/((-1150)\/(-20)))\/((-104)\/(-10))?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 8 or 0.0392?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-2*(-70)\/(-16))\/(2\/16). Let z = -488\/7 - s. Which is the closest to -4?  (a) 1  (b) -4  (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 251*q - 252*q + 10. Let t(u) = u**3 - 12*u**2 + 20*u + 11. Let m be t(q). Solve -m = -5*g + 9 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -5*k - t + 12, k - 4*t = -5*t for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let u(r) = -10*r**3 + 2*r**2 - 2*r + 1. Give u(1).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Round -16315410 to the nearest one million.\nAnswer: -16000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 51216877 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, -39, 3, 4, 1, -5, -3492 in decreasing order.\nAnswer: 4, 3, 1, -1, -5, -39, -3492","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Find m such that 2*m**2\/3 - 76*m\/3 + 238 = 0.\nAnswer: 17, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:05 AM and 9:54 AM?\nAnswer: 589","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1871421*m**3 - 3*m + 3*m.\nAnswer: -1871421*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Convert 6.921555g to tonnes.\nAnswer: 0.000006921555","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 67\/93 + -5\/93. Which is the closest to m?  (a) 2\/5  (b) 1  (c) -0.5  (d) -7\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*j = 2*v - 16, -3*v + 2*v + 5*j + 1 = 0. Calculate the highest common factor of 77 and v.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*o**4 - 4*o**4 - 5*o**4 - o)*(7 - 3 - 2)*(-2 + 7 - 2).\nAnswer: -36*o**4 - 6*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4*(2 + 3*(sqrt(171) + sqrt(171) + 3) + 2).\nAnswer: -72*sqrt(19) - 52","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Sort 45, -286, -9, -3, -5.\nAnswer: -286, -9, -5, -3, 45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 1 or 3\/55?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 7*c**2*p*q**2 - 2*c**2*p + 5*c**2*q**2 + 162*c**2*q - 4*c*p - p*q - 2*q**2 wrt p?\nAnswer: 7*c**2*q**2 - 2*c**2 - 4*c - q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Does 5 divide 821?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 176 minutes before 12:59 AM?\nAnswer: 10:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -45 + 43. Let m be 3*((-476)\/231 - g*1). Let o = 1.02 + -0.02. What is the nearest to o in m, -0.5, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 3 - (-4)\/(16\/(-20)). What are the prime factors of -127*(h - 7\/7)?\nAnswer: 3, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(r) = -r**2 + r. Let u(f) = 15*f**2 - 4*f - 1. Let t(o) = -4*g(o) - u(o). Let m(y) = y**3 - 9*y**2 + 12*y + 15. Let k be m(7). What is t(k)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(v) = -2*v**2 + 7*v - 2. Let f(o) = -3*o**2 + 15*o - 5. Give -4*f(z) + 9*p(z).\nAnswer: -6*z**2 + 3*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {m: 1, t: 1, x: 3}. What is prob of sequence xmxx?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 31 and -0.17.\nAnswer: -5.27","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let g(p) be the third derivative of p**6\/20 - 7*p**5\/60 - 5*p**4\/24 - 7*p**3\/6 - p**2 - 2*p. Let n(u) = 3*u**3 - 3*u**2 - 2*u - 3. Give 2*g(q) - 5*n(q).\nAnswer: -3*q**3 + q**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2120 - 849 - 249*c - 948.\nAnswer: -249*c + 323","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -9\/2  (b) 3\/4  (c) 2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is -2 - ((-7270)\/8 - (-11)\/(-44)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-64)\/(-20))\/(28\/(-70))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4*p**2 - 3*p**2 - 14*p**2 - 13*p**2.\nAnswer: -26*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand (j**4 + 5*j**4 - 4*j**4)*(13 + 5*j + 16*j - 25*j).\nAnswer: -8*j**5 + 26*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 678404?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3 + -2*-4*(0 + sqrt(242) + sqrt(242) + 1 + -2)*-3)**2.\nAnswer: -22176*sqrt(2) + 558009","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -25*b + 24*b = -5 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -6, 5, -4, -3.4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let j be ((-4)\/(-2))\/(-4)*-1. Let h = 6 + -5.7. Let c be (1 - 1) + (-4)\/(-14). What is the third smallest value in h, c, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-1 - 87) + (-1121 - -1103)\nAnswer: -106","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*c - 98 = 2. Let x = 40 - 20. What is the greatest common divisor of c and x?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -1278*h**5 - 210867*h**4 - 12460005*h**3 - 303495750*h**2 - 2395537500*h + 5625000 = 0. What is h?\nAnswer: -50, -15, 1\/426","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Express 112*c + 96 + 91*c - 284*c + 130 + 100*c as m*c + f and give m.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 7442747 + -3?\nAnswer: 7442744","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -1 + -325?\nAnswer: -326","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 17685 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 55823711?\nAnswer: 55823711","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 27\/5 of a decade?\nAnswer: 648","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k(g) = 82*g + 316. Let o(i) = -13*i - 51. Determine -6*k(w) - 39*o(w).\nAnswer: 15*w + 93","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2167856505.\nAnswer: 3, 5, 31, 1554019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 3  (b) -3  (c) -0.65  (d) -1.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let y(t) = -t**2 - 7*t + 5. Let m be 1 + (-2)\/17 + (-3600)\/612. Calculate y(m).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(h) = 4*h + 8 - 13*h + 8*h. Let c(l) = -l**3 - 4*l**2 - 3*l + 2. Let d be c(-3). Suppose d*q + 3 = -2*w + 17, 5*q - 2*w = 28. What is y(q)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 38 minutes before 11:14 PM?\nAnswer: 10:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 6 - 7\/(-14)*-22.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -424*l - 421*l + 296*l = 6588 for l.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 5633 is divided by 1395.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-22)\/4 + 27\/(-18). Let q = -7 - f. What is k in -1\/3*k**2 + q*k + 0 = 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -277.9 and 0.9193642?\nAnswer: 278.8193642","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -9*o + 582 = 528 for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let i(n) = n**2 - 2*n - 7. Let b be i(-5). Let m = -13 + b. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 609 minutes after 3:43 AM?\nAnswer: 1:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -6408 + 6413. Let k be -1*2 + 4\/(-2). Which is the second biggest value?  (a) u  (b) -51  (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*w - 2*v - 15, -5*w - v = -6*w. Let r(q) = -11*q - 17 + w*q + 5*q. Let x be r(-17). Solve x = d - 1 + 5 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(g) = 9*g**2 + 12*g. Let z(s) = s**2. Let d(o) = x(o) - 12*z(o). Let c(n) = 2*n. What is d(c(f))?\nAnswer: -12*f**2 + 24*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (138*d - 21*d + 10*d)*(16*d + 0 + 0 - 60*d)*(0 + 0 - 7) to h*d**2 + u + n*d and give h.\nAnswer: 39116","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 104687903381\/15006 - 6976403. Find the common denominator of -8\/7 and d.\nAnswer: 105042","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 8.020441 litres in millilitres?\nAnswer: 8020.441","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f(m) = -m + 11. Let b be f(8). Let t(s) = -s + 6. Let q be t(3). Suppose -6 = q*a - a - b*x, 4*a - 16 = -x. Solve a*p + 3 = 5*n - 4, -3*p - 5 = -4*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -129 - -130. Let h be (-2)\/4*v*(-8)\/(-12). Let u = 65\/2 - 32. What is the nearest to u in h, 3\/7, -0.4?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -8, 4, 9\/10, -3, -0.3 in ascending order.\nAnswer: -8, -3, -0.3, 9\/10, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (2*l**2 - 1 - 1059*l**3 + 1059*l**3 + 18*l**4)*(1 - 7 + 2) + 5 - 7 + l**4 - 7*l**4 to the form v + h*l + z*l**2 + d*l**3 + o*l**4 and give z.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 3736361353 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -10.0755 - -9.9755. Let i = -0.19 + 0.09. What is the closest to b in -0.3, -2\/7, 9, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 513 and 285.\nAnswer: 2565","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -8*t + 0 - 10*t + 0 to r*t + g and give r.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 4 i when four letters picked without replacement from iwiniuiiinuiunuuhiu?\nAnswer: 35\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Round 18.2619 to the nearest integer.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1723513?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.2, 43, 34, -2\/5, 4, -1713 in descending order.\nAnswer: 43, 34, 4, -0.2, -2\/5, -1713","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 73551 and 4341?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 296855720 to the nearest integer?\nAnswer: 17230","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 2\/(4*(-3)\/(-3)). Let t = -12.66 + 12.6. Which is the third smallest value?  (a) t  (b) f  (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in one quarter of a day?\nAnswer: 21600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 41392 - 138?\nAnswer: 41254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in thirty-two fifths of a centimeter?\nAnswer: 64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z(j) = -j**3 + 7*j**2 + 69*j + 38. Calculate z(13).\nAnswer: -79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let g(l) = 3*l. Let o(i) be the first derivative of -207*i**2\/2 - 4*i - 676. Calculate g(o(c)).\nAnswer: -621*c - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 5  (b) -9  (c) 1  (d) 11  (e) -2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 56 >= -1\/95?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*y**4 - 45*y**3 - 110*y**2 + 160 = 0.\nAnswer: -4, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*m - 302 + 234 = m. Solve -3*z + m*z - 390 = 0 for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of d**3*l*q**2 - d**3*l*q + 3*d**3*q + 11*l - 56*q**2 wrt l?\nAnswer: d**3*q**2 - d**3*q + 11","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(72)*-2 + sqrt(288)*2 + 1 + 0.\nAnswer: 1 + 12*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 26864, 53615, 80272, 106787, 133112, 159199, 185000, 210467?\nAnswer: 235552","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -102231 - -12222?\nAnswer: -30003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let 2*s**5\/9 + 344*s**4\/9 + 20168*s**3\/9 + 427840*s**2\/9 + 1480192*s\/9 + 1404928\/9 = 0. Calculate s.\nAnswer: -56, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*u = 139 + 11. Let b be (-10)\/15*u\/(-4). Let o(h) = -2 - 1 + b - h. Calculate o(-2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 2\/51159893 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1087.\nAnswer: 1087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*o**5 - 33*o**4 + 420*o**3 - 780*o**2 - 1632*o + 3648 = 0 for o.\nAnswer: -19, -2, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -0.4  (b) 0.1  (c) -87  (d) 2\/17  (e) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -69 + (-96 - -300) + -2?\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {b: 2, j: 1, e: 1, k: 1}. Give prob of picking 1 b, 1 k, and 1 j.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let a be ((-2)\/(-6))\/(595\/(-120) - -5). Let o(r) = r**2 - 4*r - 23. Give o(a).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(x) = x**3 + 12*x**2 + x + 13. Let s(b) = -4*b - 4. Let z be s(2). Let c be i(z). Solve k - 4*o = 0, 5*k + c = -3*o - 22 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -1067 + 1568. What is the first derivative of 113*b - x + 14*b + 402 wrt b?\nAnswer: 127","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2322\/17 greater than or equal to 138?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 169513 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*n**2 + 1294*n + 204000.\nAnswer: 2*(n + 272)*(n + 375)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Add together 422.83 and 2436.\nAnswer: 2858.83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 10 - -5 - 55*(-54)\/(-270).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 166 is divided by 39?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -5709463\/104 + 54898. Calculate the common denominator of q and 43\/136.\nAnswer: 1768","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(t) be the first derivative of t**6\/30 + t**4\/24 - t**2 - 1. Let f(y) be the second derivative of a(y). What is the second derivative of f(i) wrt i?\nAnswer: 24*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -38 + 33. Which is the closest to -5\/8?  (a) u  (b) 1  (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(s) be the first derivative of -11*s**2 - 6*s + 1. Suppose 0 = -18*d - 9 - 81. Let q be p(d). What is the highest common divisor of q and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(j) = -j + 2. Let k(v) = 55*v + 11. What is 2*k(p) - 10*q(p)?\nAnswer: 120*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w*w**4*w\/(w\/((w*(w*w**1\/w*w)\/w*w)\/w))*(w*w*w**(-1))**2)**(-8\/5) assuming w is positive.\nAnswer: w**(-72\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -378 + 5369 = -161*y for y.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let b(u) = -u**3 + 8*u**2 + 20*u - 5. Let d be b(10). Let y = 5 + d. Let h = 4 - 2. Solve -2 = 2*l + 3*l + h*t, -2*l - 4*t + 12 = y for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 9690 or 128?\nAnswer: 128","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 325 and 675?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ejejjeeeee. Give prob of picking 1 e and 1 j.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: -4 + -3 + 9 - 1\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is -2 equal to 55.5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let c(v) be the second derivative of v**4\/18 - 4*v**3\/9 + v**2 + 27*v. Let c(f) = 0. What is f?\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.58 times -7\nAnswer: -4.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let n(w) = -2*w**3 - 8*w**2 + 9*w. Let f(j) = -j**3 - 3*j**2 + 3*j. What is 8*f(p) - 3*n(p)?\nAnswer: -2*p**3 - 3*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*w - 5 = -2*f - 33, 3*w = -4*f + 10. Suppose v - w = -v. Suppose 1636 = v*q + q. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (3\/(0 - 3) + 0)\/(14\/196)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -29381*q**3 - q**2 + 52519*q.\nAnswer: -176286*q - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -4, 7\/65, -2\/3, 40\/3, -1\/3, 6?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*q + 316 + 170. Suppose q = 8*i + 83. Suppose i = -5*b + 20. Solve b = -2*p + p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.197 * -16809.2\nAnswer: -3311.4124","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 26434 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 9\/(-171) + (-1040)\/95 - 5\/(-1).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 399 minutes before 12:01 PM?\nAnswer: 5:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*y + 4352*i - 4353*i = 7, -9*y = 5*i + 35 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let t(o) be the second derivative of 8*o**4 + o**3\/6 + 2*o**2 + 13*o + 5. Let x be t(-1). Is 100 < x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Total of 146.0272 and -52.\nAnswer: 94.0272","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((h**(1\/11)\/(h**10*h))\/(h\/(h\/(h\/(h\/h**(-3)*h)*h)))**40)**(2\/3) assuming h is positive.\nAnswer: h**(800\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 4303.767ml?\nAnswer: 4.303767","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 0.05 - -1.95. Let h = 8 - n. Let y = h - 3. Which is the third smallest value?  (a) 1\/5  (b) y  (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 71 and 1207?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4 + 875*z**2 + 550*z**3 + 685*z**2 - 4 - 1560*z**2.\nAnswer: 550*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: 1*6*(-185)\/(-296)*-4\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m(r) = -2*r**3 - 18*r**2 - 19*r - 26. Let o be m(-10). Is o at most 364?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 56 + -51. Factor 3\/4*p**3 - 3\/4*p**4 + 0*p + 1\/4*p**r - 1\/4*p**2 + 0.\nAnswer: p**2*(p - 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 19.2 - -9.3. Let o = -28.5474549 + 0.0323549. Let u = o + k. What is u rounded to three dps?\nAnswer: -0.015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -a = -9 + 6. Solve a*k + 13 = -2 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*h - 5*n = 7*h + 14, 3*h - 3*n - 3 = 0 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 710 minutes after 5:40 AM?\nAnswer: 5:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve k + 184*x = -1661 + 1063, x = 5*k + 6*x + 245 for k.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let f(u) = -u**3 + 9*u**2 - 10. Let x be f(9). Let l be (-26)\/x - (-6)\/15. What is the second derivative of 4*o**2 - 2*o + l*o - 7*o**2 wrt o?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -288 - -290. Suppose -2 = -3*g - 2*i, -w*g + 3*i + 4 = -3*g. Factor 1\/3*c**g + 0 + 0*c.\nAnswer: c**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 7204550?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-13*n**2 + 19*n**2 + 22*n**2)*((-3 + 3 - n)*(-n + 4*n - 2*n) + (5*n**2 - 4*n**2 + n**2)*(-3 + 0 + 1)).\nAnswer: -140*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -8 + 26. Let h = 6 + r. Suppose -2*y - h + 96 = 0. What are the prime factors of y?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((n\/(n*n*n**(-2\/3)))\/((n\/(n*n\/(n**7\/n)))\/n))**(-6\/5)*(n**(-2\/5)\/(n*n**3\/n))\/(n\/((n**(5\/2)*n)\/n*n)*n*n\/(((n\/n**(1\/7))\/n)\/n)) assuming n is positive.\nAnswer: n**(81\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*o = 0, -o = 2*f - 4*o. Suppose -11*h + 9*h - 18 = 0. What is the lowest common multiple of 1*9 - f\/h and 37?\nAnswer: 333","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -6595*o**5 + o**2 - 205*o + 25.\nAnswer: -131900*o**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 792, 1579, 2364, 3147?\nAnswer: 3928","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from mmmemememememeeeme. Give prob of sequence mmem.\nAnswer: 21\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -177, -332, -447, -504, -485?\nAnswer: -372","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v(q) = -8*q**2 + 17*q + 102. Let g(x) = -3*x**2 + 9*x + 34. Let d(a) = 5*g(a) - 2*v(a). What is d(-19)?\nAnswer: 118","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((y*y**(6\/5))**(2\/119)\/(y*y\/y**(-8)*y*y**(-1\/12)\/y))**(10\/9) assuming y is positive.\nAnswer: y**(-70541\/6426)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.2 * 22823.516.\nAnswer: 4564.7032","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (4*i**2 + i + 2*i**2 - 2*i**2)*(3 + 2*i + 1 + 2 + (i - 3*i + 5*i)*(14 + 7 - 133)) to the form z*i + p*i**2 + t + a*i**3 and give a.\nAnswer: -1336","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -3  (b) -304  (c) 0  (d) -1\/2  (e) 31\/4  (f) 16\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is -476779 + -2889.979?\nAnswer: -479668.979","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -4\/3, 321, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1\/3, 4\/7, -0.4916.\nAnswer: -0.4916, 1\/3, 4\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1\/3, 1.7, -0.14, 5, 52 in descending order.\nAnswer: 52, 5, 1.7, -0.14, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -566940*b**3 - 782494*b.\nAnswer: -3401640*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 11735 - 11735 + 1468156*i**3 - 1468154*i**3.\nAnswer: 2*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 516571009?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 0.5 from 661607462.\nAnswer: 661607461.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let t(j) be the first derivative of 3*j**2 + 1. Let b(w) be the second derivative of -1\/3*w**3 + 0 - 3*w + 0*w**2. Determine b(t(m)).\nAnswer: -12*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let q(k) = -k**2 + 6*k - 2. Let v be q(5). Suppose 5*x = -v + 18. Solve -3*s - x = -4*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (2\/12)\/(2*(-5)\/40).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -81.5 - -81. Which is the third biggest value?  (a) -1\/8  (b) -2\/19  (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -477289*t**2 + 670854*t wrt t.\nAnswer: -954578","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 2*c - t - 467 + 964 - 484, 0 = -c + 2*t - 11 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Express -18*h + 13*h**4 + 8*h - 1 + 4 + 11*h - 2*h**3 - 15*h**4 - 14*h**2 in the form o*h + f + b*h**3 + l*h**2 + r*h**4 and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 3917?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 83831 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*w - 4*w + 6*w + 2*w + 2 - 2 + (2*w - 1 + 1)*(5 - 2 - 2) - 3*w - 5*w + 7*w)*(3*w + 12 - 12).\nAnswer: 15*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.1089*1544.8.\nAnswer: -168.22872","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 542 + -542.04529. What is f rounded to 2 decimal places?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 31 + -27. Let z(u) be the second derivative of -1\/7*u**t - 1\/70*u**5 + 0*u**2 - 16\/147*u**7 - 1\/21*u**3 - 2*u + 8\/35*u**6 + 0. Factor z(h).\nAnswer: -2*h*(h - 1)**2*(4*h + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(j) = j - 1. Let l be z(5). Suppose -l*y - 2 - 4 = 2*b, y = -4*b + 9. Solve 7*s = b*s - 12 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 14294052.82 rounded to the nearest 1000000?\nAnswer: 14000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let o(s) = 2*s**3 + 19*s**2 + 22*s + 125. What is o(-9)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 4285873 to the nearest integer?\nAnswer: 162","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 n, 1 m, and 1 l when three letters picked without replacement from {k: 1, i: 1, m: 1, l: 1, e: 1, n: 2}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 5 is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 966 and 42?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from geggregpzupupp. Give prob of sequence ez.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let g(h) = 5*h - 2*h**2 - 3 + 7 + h**3 - 4*h**2. Let m be g(5). Suppose 0*w - 12 = -m*w. Solve 4 = w*q - 2 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -771*r - 613*r + 1612*r.\nAnswer: 228*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let c(y) = -3*y. Let q be c(-7). Suppose n = 4*n - q. Suppose 4*o = 2*g - 34, -n*g + 5*o = -2*g - 80. What is the remainder when g is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -37*s + 450 = -31*s. Suppose -4*j - 5*h + s = j, 0 = 4*j - 3*h - 25. Let u(a) = a - 19. Determine u(j).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor q**2\/8 + 1438349*q\/2 + 5753395\/8.\nAnswer: (q + 1)*(q + 5753395)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 719 minutes after 12:54 PM?\nAnswer: 12:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 3997485 and 355332.\nAnswer: 15989940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Factor -a**4\/7 - 1376*a**3\/7 + 71300*a**2\/7.\nAnswer: -a**2*(a - 50)*(a + 1426)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:02 PM and 2:32 AM?\nAnswer: 690","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-22)\/(-3)*5\/(250\/(-600))?\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 4332 divided by -10?\nAnswer: -2166\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 208, 205, 202, 199, 196?\nAnswer: 193","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d be ((-1)\/3)\/(5*(-2)\/60). Factor 2\/7*o**5 - 4\/7*o**d - 8\/7*o**4 + 10\/7*o**3 + 0*o + 0.\nAnswer: 2*o**2*(o - 2)*(o - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -36*l - 16*l - 348 = -81*l. Calculate the highest common divisor of 1494 and l.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -6828008.4 * 0.4.\nAnswer: -2731203.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5*(2 + sqrt(275))**2*6*-1.\nAnswer: -8370 - 600*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let b(x) = 1065*x**2 + 12*x + 2. Is b(-1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 54\/36*-5*14\/35.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a(v) be the third derivative of v**9\/60480 - v**8\/13440 + 3*v**4\/8 + v**2. Let j(d) be the second derivative of a(d). Let j(u) = 0. What is u?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -0.79  (b) 2\/9  (c) -28\/9  (d) -0.4  (e) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -17 - -17. Solve 3 + u = -3*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -32*x**2 + 49*x**2 + 14*x**3 - 17*x**2.\nAnswer: 14*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let d(c) = -9*c**3 - 79*c**2 + 5*c. Let u(x) = 4*x**3 + 39*x**2 - 3*x. Let y(k) = -3*d(k) - 5*u(k). What is the third derivative of y(m) wrt m?\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (33 - 40)*(-6)\/21. What is f in 1\/4*f**3 + 0*f**d - 3\/4*f + 1\/2 = 0?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 1144 and 286.\nAnswer: 1144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Sort -22, 7, -5, -1 in descending order.\nAnswer: 7, -1, -5, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 3013 - 1652. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 1566411 to the nearest integer?\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let q(n) = -2*n**2. Let m(b) be the first derivative of 0*b**2 - 1\/3*b**3 + 2 + 0*b. Determine m(q(z)).\nAnswer: -4*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 476285 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 92482483 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from xxtttxajxujjxj. Give prob of sequence xju.\nAnswer: 5\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Work out 7.1 + 4.61.\nAnswer: 11.71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 4 - 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 106*8.\nAnswer: 848","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 37*k = -131*k - 1765 + 169 - 19740 for k.\nAnswer: -127","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in 3\/8 of a day?\nAnswer: 540","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7 - 11 = -3*g. Suppose -3*q = -21 + g. What is the closest to -2 in 2, -2, q?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 9\/10 - 13\/20. Let j(w) be the first derivative of 0*w**2 + f*w**4 + 0*w + 1 + 1\/3*w**3. Find the third derivative of j(q) wrt q.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 301 divided by 2324\nAnswer: 43\/332","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand (155 - 148 + 0*f - 2*f)*(1 + 9 - 2).\nAnswer: -16*f + 56","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -26 - -29. Solve s = 5*d - s + 3, 0 = -b*d - 5*s + 23 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -0.76 - 0.49. What is a rounded to 1 dp?\nAnswer: -1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 279?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let i(z) = 5*z - 2. Let d be i(3). Suppose -2*k + q = -4*q + d, 2 = 5*k - q. What is the common denominator of k\/2 - 165\/(-48) and 71\/20?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12*r = -r - 88. Solve 4*w = -r - 12 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 1643 - -aa4c?\nAnswer: c392","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 475.\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is -34872 divided by 2?\nAnswer: -17436","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -1a - -52?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 9, 5\/2, 1\/5, -1, -4\/3?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 50 - 48. Suppose -3*t + a = -a - 14, -6 = -5*t - a. Solve -t*l - 20 = s*l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 279*h - 221*h + 548*h + 146*h in the form q + k*h and give k.\nAnswer: 752","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -5\/26  (b) 0.3  (c) 386.213\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*y - 5*y + 6*y)*((2 - 1 + 1)*(3*y + 4*y - 5*y) + 1 - y - 1 - 1 + 2*y + 1) + (0 + 1 - 2)*(152*y**2 - 52*y**2 + 111*y**2).\nAnswer: -206*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*f = w + 3, -3*f + 0*w + 3*w - 27 = 0. Let i = -3 + 2.8. What is the closest to i in f, -1\/3, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 8.181 - 84.955.\nAnswer: -76.774","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 73?  (a) -1\/3  (b) 5  (c) -53  (d) 1  (e) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 33 + -10?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 24 - 21. Suppose -s*j - j = -3*m + 10, 0 = 3*m + j - 35. Suppose 3*c - m*c = -14. Solve -5*w - 3 = 5*k + 7, 3*k + c*w + 7 = 0 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*k = 8688*b - 8683*b - 33, -5*k - 47 = -6*b for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let n(r) = -r**2 + 12*r - 38. Determine n(6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let z(q) = -2*q**3 + 7*q**2 + 6*q - 11. Let o(n) = 2*n**3 - 8*n**2 - 7*n + 11. Determine -6*o(a) - 7*z(a).\nAnswer: 2*a**3 - a**2 + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 25\/2 of a century in months?\nAnswer: 15000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor 21*p**3 + 9075690*p**2 - 2593056*p.\nAnswer: 3*p*(p + 432176)*(7*p - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00721061168 to five decimal places.\nAnswer: 0.00721","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from vohooov. Give prob of picking 1 v and 3 o.\nAnswer: 8\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let n(p) = -1. Let u(r) = -2*r**3 + 2*r**2 + 4. Let a(g) = -n(g) + u(g). Let f(v) be the first derivative of a(v). Find the second derivative of f(h) wrt h.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/((-55)\/(10\/2))?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -23c22 (base 14) in base 16?\nAnswer: -15596","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5 - 1 + 7*j - 4.\nAnswer: 7*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let d(n) = -n**3 - 2*n**2 + 8*n - 221. Calculate d(0).\nAnswer: -221","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0 or 53\/858083?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Express (4*y**2 - 6*y**2 + 3*y**2)*(y + y - 5*y) - 4*y**3 - 1 + 1 as k*y + j + g*y**3 + f*y**2 and give g.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let z(n) = -2*n**2. Let w(r) = -254*r**2 + 287576. Give w(z(c)).\nAnswer: -1016*c**4 + 287576","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence jp when two letters picked without replacement from ppjprjpprpppxwxpx.\nAnswer: 9\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 502 and 3261494?\nAnswer: 502","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.2847867156 rounded to three dps?\nAnswer: 0.285","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 2746231 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -3 - -5. Let q = -107.1 - -107.6. What is the closest to 2 in 25, k, q?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 224 and 9926.\nAnswer: 158816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 86 - 89*x - 206*x - 148 + 62.\nAnswer: -295*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Convert 70.86691mm to meters.\nAnswer: 0.07086691","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -187 - -351. Let b = 107 - p. Let s = 660 + -665. What is the second biggest value in s, b, 1\/2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -28671 = 16053*f - 15550*f for f.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 16 = 8*m, -21 = z + 4*z + 2*m for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is -23606 (base 10) in base 2?\nAnswer: -101110000110110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v**(2\/3))**(19\/6)*(v*(v*((v**(-1)\/v)\/v)\/v*v)\/v*v*v*v)**(-7\/5) assuming v is positive.\nAnswer: v**(32\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 29 + -81. Let n(w) = w**2 - 4*w + 9. Let g be n(12). Let p = g + h. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1070000851 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -4 (base 16) in base 4?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 6059436080?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 4*(-7)\/13 + 2. Let n be (9\/(-52))\/((-14)\/(-28)). Let i = h + n. Which is greater: 0.01 or i?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(g) be the second derivative of 9*g**6\/10 - 37*g**2\/2 + 26*g. Find the first derivative of l(w) wrt w.\nAnswer: 108*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 82 + -62. Suppose 5*b + 8 = -f - 0, -5*f + 5*b + z = 0. Let c(h) = -f*h + 7 + 2*h - h**3 + 7*h**2 - 18*h + 9*h. Give c(6).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(o) = 21*o - 1. Let v(p) = 11*p - 1. Let s(j) = -8*j - 45. Let h be s(-5). Give h*v(u) + 3*q(u).\nAnswer: 8*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 109215288.\nAnswer: 2, 3, 7, 13, 79, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 4237357 is divided by 743.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -0.02, -0.2, 1.026?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -6 + 6. Let w = 9 + -7. Which is the smallest value?  (a) w  (b) s  (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 4*1\/(-2*(-2)\/(-4)). Let c(i) = -2*i**3 - i**2 + 3*i + 3. Let v(j) = -2*j**3 + 4*j + 4. Let d(n) = r*v(n) + 5*c(n). Let l be d(-3). Sort -5, 4, l.\nAnswer: -5, 4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(m) = 6*m. Let o(d) = d**2 + 58*d + 1. Let b(y) = -34*y**2 - 174*y + 5. Let w(k) = b(k) + 3*o(k). What is w(h(l))?\nAnswer: -1116*l**2 + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 921554 to the nearest integer?\nAnswer: 960","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is -1.533213661 plus 173?\nAnswer: 171.466786339","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-j + 0*j - j)*(j + j + j) + 14 + 222*j + j**2 - 14 - 207*j to the form i*j + w + q*j**2 and give q.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 278868119 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2 + (5 - 0) + -5.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -90*b = -386*b + 11907 - 2435 for b.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*p - 1 + 4. Suppose -o - 1 = -14. What is the remainder when p\/2*-2*37 is divided by o?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ktt when three letters picked without replacement from {t: 4, k: 2}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (6\/(-9))\/((-7)\/21). Let f(m) be the first derivative of -m**3\/3 + 5*m**2\/2 + 4*m + 2. Let t be f(6). Put -5, t, r in increasing order.\nAnswer: -5, t, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 37\/5 of a litre in millilitres?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*m + 250 = 5*y, 0*m + 275 = 5*y + 3*m. Suppose 718 = 162*n - 158*n + 2*a, 5*n - 915 = a. What is the greatest common factor of y and n?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sum -0.090952 and -0.4.\nAnswer: -0.490952","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 4393635094 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let k(s) = -7*s - 6. Let z(d) = 15*d + 11. Let b(g) = -13*k(g) - 6*z(g). What is the lowest common multiple of 10 and b(-5)?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*q + 4 - 2. Suppose -2*y = -q - 3. What is f in -5*f**2 + f + 2*f**3 - f**3 + 3*f**y = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 23 - 15. Let c be (p\/6)\/((-4)\/(-6)). Find the third derivative of 0*u**3 - 2*u**3 + u**2 - u**2 - u**c wrt u.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(c) = c**2 - 2*c - 3. What is the lowest common multiple of -5 + 0 - (-61 + (3 - -5)) and h(9)?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-2)\/(-1) + (-16)\/9. Let i = 1237\/18 - 614\/9. Let s(k) = k**3 + k**2 + 1. Let m be s(0). Which is the closest to m?  (a) i  (b) r  (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*o**2\/3 - 93883552*o\/3 + 550882583508544\/3.\nAnswer: 4*(o - 11735444)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Express (-5*q + 2*q - 8*q)*(-q + 3*q + 0*q) as v + g*q**2 + c*q and give g.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 0 - 3. Let l = -3 - r. Solve -3*b = 4*i - 7, b + l = 1 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -48785 by 5.\nAnswer: -9757","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 945726 is divided by 33.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-7420)\/(-430360)*((-6)\/(-2))\/(6\/(-4))?\nAnswer: -1\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-12)\/15*175\/35.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 5799, 23403, 52809, 94017?\n\"Answer: 5901*z**2 - 99*z - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r(d) = -d + 1. Let t be r(2). Let q = 1.92 + -1.72. What is the nearest to 0 in t, q, 4?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 25193\/6 - 4215. Let t = 378\/53 - 9027\/530. Find the common denominator of t and q.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 24bdb (base 15) to base 9.\nAnswer: 188068","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w(d) = -d**3 + 3*d. What is the remainder when w(-4) is divided by (64\/(-224))\/((-1)\/63)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 36630452 to the nearest integer?\nAnswer: 6052","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 1720 - 711. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 115594405 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 u and 1 e when three letters picked without replacement from bbububububuububbbbbe.\nAnswer: 7\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from yaxaaataaeyya. What is prob of picking 2 y?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let d(m) = m**2 + m + 1. Let h be d(-3). Suppose -h = -j - 0. Solve x + 9 = 2*p, -2*x + j*x - 2*p = -5 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 270 - 268. Suppose -u - 5*t + 1698 = -0*t, -b*u + 5*t + 3336 = 0. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1 = -3*z + 19. Suppose z*r = 10*r - 68. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -5 + 0.108906498.\nAnswer: -4.891093502","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*h + u = 16 + 13, 5 = 5*h - 5*u. Suppose 2*n = h*v + 8, 5*v - 8 = -2*n + v. List the prime factors of n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -51 = -2*n - 5*p - 9, -3*n + 2*p + 82 = 0. Calculate the highest common factor of 39 and n.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 76 and 116945.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: 1*(-11)\/(132\/(-72))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 23710884, 23710886, 23710888, 23710890, 23710892, 23710894?\nAnswer: 23710896","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4*sqrt(21)\/((sqrt(7) + sqrt(448) + sqrt(7))*3)*5)**2.\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 1172 and 148.\nAnswer: 43364","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*p = 4*c - 23, 3*p + 7 = 2*c - 8. Let a be p\/(-3) + -1*4\/(-6). Find the first derivative of 17*s**3 + 17*s**a + 31 - 2 wrt s.\nAnswer: 102*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*c**3\/9 - 142*c**2\/9 + 896*c\/9.\nAnswer: 2*c*(c - 64)*(c - 7)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -w + 3*u + 119, 5*u = w + 3*w - 462. Let k = 563\/5 - w. Let t = -6 - -4. What is the biggest value in -3\/8, k, t?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 0\/(-8) + 2 + 0. Suppose -4*r = -3*g - 987, 0 = h*g - r - r + 656. Let j = -187 - g. What is the tens digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -41\/40 and 5\/6408?\nAnswer: 32040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2 + 3 + -25 - (-52 + 51).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 3 + 7 + 14*t**2 - 10 to l*t + q*t**2 + k and give q.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 58663235.\nAnswer: 5, 11732647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let n(l) = l**3 - 3*l**2 + 2*l + 3. Let x(a) = -a**2 + 10*a + 4. Let k be x(10). Let s be n(k). Let c = s - 9. Calculate the remainder when 52 is divided by c.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2853806 is divided by 317082.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Are -894 and 6010 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 (base 9) in base 10?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b(a) = -7*a**2. Suppose 76*c - 11*c = 0. Let p(z) be the first derivative of c*z + 3\/2*z**2 + 9. What is b(p(s))?\nAnswer: -63*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is -1266 (base 8) in base 7?\nAnswer: -2011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((h**(-1))**(1\/24)\/(h*h**1)**(-10\/7))\/(((h*h**(2\/9)*h*h)\/h**1)\/((h*h*h*h*h\/(h*(h*h**(-1\/9)\/h)\/h))\/h*h*h\/(h**(-2)*h*h*h)*h)) assuming h is positive.\nAnswer: h**(3379\/504)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let s(q) = -4*q + 6*q - 3*q + 3. Let d(a) = a**3 + a**2 + a + 1. Let j be d(-1). Let x be (j\/(5 + -2))\/(-2). What is s(x)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 122173 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let p(j) = -2*j**2. Let b(n) = n**2 - 9*n - 8. Let g be b(10). Suppose 0 = 2*m - o - 3*o - 8, -4 = -2*m + g*o. Let y(i) = 42*i + 0 - 50*i + m. Give y(p(l)).\nAnswer: 16*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 957979*g**3 - g + 2574904 wrt g?\nAnswer: 5747874*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 1527 and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -11952*d*s**3 - 1579*d*s**2 - 682*d*s - 345*d - s**3 + 336 wrt s.\nAnswer: -71712*d*s - 3158*d - 6*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 1197 a multiple of 57?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let n be ((-119)\/(-5950))\/((-1)\/4). Let c = -219\/4 + 54. What is the fourth biggest value in c, n, -10, -1?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -244.9 + 244.901573. What is v rounded to 4 dps?\nAnswer: 0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 24, 13, -12, -57, -128, -231, -372?\n\"Answer: -a**3 - a**2 - a + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-2)\/4 - ((-339)\/6 + 0). Calculate the greatest common divisor of 7 and s.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 129065 - -1?\nAnswer: 129066","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let p(f) = 12*f + 1. Let r(i) = -19*i - 1. Let k(b) = -b**3 - 4*b**2 + 4*b + 11. Let j be k(-4). Let q(d) = j*r(d) - 8*p(d). Give q(-7).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (6*o + 2 - 2)*(4*o - 7*o + 11*o).\nAnswer: 48*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -555 + 561. Let m(x) = -x**3 + 6*x**2 - 3*x. Calculate m(z).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(c) be the second derivative of c**5\/30 + 43*c**4\/18 + 161*c**3\/3 + 147*c**2 + 5398*c + 1. Solve k(t) = 0.\nAnswer: -21, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-22*s**2 + s + 19*s**2 - 4*s)*(2*s**2 - 3*s**2 + 2*s**2)*(-3 + 3 + 3).\nAnswer: -9*s**4 - 9*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00010039045629 rounded to 7 decimal places?\nAnswer: -0.0001004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 206400209 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 3*4\/4*1. Let p be (-1)\/2*(n - 2)*-6. Solve 0 = -p*m - m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -46 (base 14) to base 9.\nAnswer: -68","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: 0.01*0.007\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.2 in 2, 4, 49332, -4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Convert -6 (base 13) to base 15.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 20 + 1021?\nAnswer: 1111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 127082793 and 597?\nAnswer: 597","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence mmmg when four letters picked without replacement from mommmgmoomo?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let j(d) = -2711*d**3 - 3*d**2 - 34*d - 11. Is j(-5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -355325 + -1001?\nAnswer: -400330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -1290 + 6447\/5. Which is the nearest to 1?  (a) -95  (b) t  (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -f = r + 3*r + 24, 4*f - 9 = 5*r for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Round 150095 to the nearest ten thousand.\nAnswer: 150000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*b - 10 = 2*t, 5*b = -2*t + 4 - 19. Suppose -t*f - 4 = -7*f. What is the closest to 0.2 in 1\/3, -3, f?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 345 + -344. Let l = 0 - 3. Put l, -4, 0, f in descending order.\nAnswer: f, 0, l, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: -440 (base 8) to base 16\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 6 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 32733.63ng in grams?\nAnswer: 0.00003273363","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m(y) = -7*y**3 + 4*y**2 - 1. Let s(w) = -8*w**3 + 4*w**2 - 1. Calculate -6*m(u) + 5*s(u).\nAnswer: 2*u**3 - 4*u**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let g(v) = -50*v**3 - v**2 - 4*v + 5. Suppose 15 = z + 19. Is g(z) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -4102894, -8205791, -12308692, -16411597, -20514506, -24617419?\n\"Answer: -2*j**2 - 4102891*j - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand -x + 2*x - 3*x + (-2*x - 4*x + 7*x)*(2 + 0 - 3) + x + 3*x + 0*x.\nAnswer: x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 2128865905?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: -26*43\nAnswer: -1118","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let n(u) = u**3 + 22*u**2 + 101*u - 6. Let l be n(-7). Let p(o) = -16*o**3 + 16*o**2 + 11*o. Let h(j) = 3*j**3 - 3*j**2 - 2*j. Calculate l*h(g) + 4*p(g).\nAnswer: 2*g**3 - 2*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -3040690*j**6 - 35*j**3 + 562879898*j**2 wrt j?\nAnswer: -364882800*j**3 - 210","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 4560 and 10488.\nAnswer: 104880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let m(n) = 118*n**2. Let a(r) = 7*r**2. What is m(a(l))?\nAnswer: 5782*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 4 - (0 - -8) - 0?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 497405 is divided by 58?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.05250484525 minus 40?\nAnswer: -39.94749515475","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 25*k = -16*k + 205 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -165351*l - 240261.\nAnswer: -165351","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.216417 rounded to 1 dp?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 52444.\nAnswer: 2, 7, 1873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 6495 is divided by 56.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 37 + 99 + -102 - 48.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 540 and 5526720?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 64545270295 and 0.1017?\nAnswer: 64545270294.8983","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*h - h + h)*(18*h + 13 - 13)*(-6*h**2 + h**2 + 2*h**2).\nAnswer: 108*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 0 + sqrt(1100)*-1 - (2 + -1 + sqrt(1100)).\nAnswer: -20*sqrt(11) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ao when two letters picked without replacement from {a: 1, n: 2, o: 3, z: 1, m: 1, i: 4}?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -5  (b) -0.1  (c) -0.07  (d) 20\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 22717 + -43012. Let a = b - -608989\/30. What is the common denominator of -44\/3 and a?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 94519 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Are -26426 and -26423 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 2*h**2*x**3 - 60244*h**2 - 1870*x**3 + 4*x**2 wrt x.\nAnswer: 6*h**2*x**2 - 5610*x**2 + 8*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00198052 to 3 decimal places.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 1004 + -478. Is 17 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k\/k**(4\/7))**(15\/7) assuming k is positive.\nAnswer: k**(45\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4 + 22*v**2 - 4 - 12*v**2 - 12*v**2.\nAnswer: -2*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (2 - (13 + -2 + -6)) + -5.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 14 (base 14) to base 13\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from spsspprpisrpsprsp. Give prob of sequence iprp.\nAnswer: 3\/1360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-46*o + 46*o + 23*o**2)*(1 + 0 + 2).\nAnswer: 69*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let j(h) = 95*h + 2. Let p be j(-2). Let n be (2 - p\/16)*-4. Let s = n + 86. What is the highest common factor of s and 248?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 32 + (43 + -42 - (7 - 3))?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -19478, -19475, -19470, -19463, -19454?\n\"Answer: w**2 - 19479","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 407071516?\nAnswer: 2, 79, 1288201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -9, -85, -283, -663, -1285, -2209, -3495, -5203?\nAnswer: -7393","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 172 is divided by 95.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: 119380 divided by 11938\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Sort -41, -1, 6, -306739 in increasing order.\nAnswer: -306739, -41, -1, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 4.919 - -0.081. Suppose 3*w = 56 - 17. Let f = w + 4. Which is the third smallest value?  (a) -4  (b) m  (c) f  (d) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 4, 3, -0.4, 4950, -0.5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -18.81 - 0.19. Let s = 24 + q. Which is the nearest to 1?  (a) s  (b) -2  (c) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 520208512 is divided by 86701418?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2 + ((sqrt(343) + 1)*3)**2 + (sqrt(7) - (sqrt(1764)\/sqrt(7))**2 - (-1*sqrt(7) + 0)) + 5.\nAnswer: 128*sqrt(7) + 2851","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let v(k) = -k**3 + 5*k**2 + 2*k + 4. Let t be v(5). Is 1270\/t - (-8)\/28 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(d) = d**3 - d**2 + d. Let y(n) be the first derivative of -15*n**4\/2 + 35*n**3\/3 - 35*n**2\/2 - 550. Determine 140*h(t) + 4*y(t).\nAnswer: 20*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-24)\/(-6) - (-8 + -3). Suppose -2*y + i + r = 0, 4*y + 0*y + i - 27 = 0. What is the greatest common factor of 14 and y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -92 - -89. Let l be (t\/(-2) - 1)\/(38\/228). Suppose -4*h + 784 = 2*p, 2*h + l*p - 392 = -0*h. Is h a multiple of 46?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be ((-12)\/(-14))\/((-2)\/(-7)). Find the common denominator of 676\/(-48) + (c - -1) and (-1012)\/24 - (-4)\/6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -291 - 865. Let l = -1155.6783 - w. Let t = l + -0.32. What is t rounded to three dps?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((o*(o**(1\/4)*o)\/o*o*o)\/(o**(-3)*o))\/(o*o\/o**(-4)*o*o\/((o**(-7)\/o)\/o)))**34 assuming o is positive.\nAnswer: o**(-799\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3872*m + 1888*m + 1981*m.\nAnswer: -3*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 28275 (base 14) in base 11?\nAnswer: 68654","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"}
{"text":"Question: What is 84388.58 rounded to the nearest ten thousand?\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -37 + 37. Let z(c) be the third derivative of 0 - 1\/270*c**6 + 0*c - 1\/270*c**5 - 1\/945*c**7 - c**2 + 0*c**3 + i*c**4. Factor z(u).\nAnswer: -2*u**2*(u + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14 = d - 2*j, d + 6 = -j + 5*j. What is the units digit of -3*(-1 - d\/(-6))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 0.2 - 0. Let v = -456.1 - -456. Let g = v - n. Put g, 0, 3\/7 in decreasing order.\nAnswer: 3\/7, 0, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 35406500 to the power of 1\/2, to the nearest integer?\nAnswer: 5950","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-36)\/(-5) + -1 - (-498)\/(-83).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.1?  (a) -1\/7  (b) -0.2  (c) 13.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -u = 3*l + 140245, -66887 = -4*l + 3*u - 253876. Let y = -31119 - l. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 76771?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4 + 3 - 1)*(-2*i + 2 - 2) + (1 - i - 1)*(10 + 6 - 3)*(89 - 447 - 121).\nAnswer: 6231*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k**(-8\/7)\/k**(-20))**39 assuming k is positive.\nAnswer: k**(5148\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let p(a) be the third derivative of 0*a + 1\/60*a**5 + 5\/8*a**4 + 0 + 8\/3*a**3 - 171*a**2. Determine p(-12).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (0 - 16\/4)*95\/(-76) - 5.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -27 - -57. Let u be 3*-15*2\/(-2). What is the highest common divisor of x and u?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -19.2 + 3.2. Let p = -17 - m. Put p, -1\/11, 0.11, -4 in decreasing order.\nAnswer: 0.11, -1\/11, p, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*v = -3*v + 36. Let o = 11 + v. Let y be (1 - o)*15\/6. Solve 4*f = 4*x - 4, -4*f + y*f - 4*x - 11 = 0 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 638 - 637.434. Round s to one dp.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 357 and 595.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*n = -3*n - 84. Let a(u) = u**2 - 8*u - 9. Let l be a(7). Let s = l + n. What is the greatest common divisor of s and 48?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -16597 divided by -1?\nAnswer: 16597","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 470 minutes before 7:20 PM?\nAnswer: 11:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-2)\/(-32 + (29 - 7))?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 6630 and 153.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 288 and 1224.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let f(b) = -b**3 - 6*b**2 - 5*b + 2. Let c be f(-5). Let a(v) = -3*v**2 + v - v**3 + 21*v**2 - 17*v**2. Determine a(c).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5316618781 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 2.1, -0.016, 814, 0.6, -3?\nAnswer: -0.016","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let y(h) = 38*h + 82. Let r be y(-2). Solve 4*q - 10 = -2*v, 0*v - v = 3*q - r for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be -3*2\/4*(-8)\/6. Suppose -2*i + 16 = h*i. Let f(n) = n**2 + 2*n**2 - 5*n**3 + 4*n**3 - 2 + 3*n + 0. Calculate f(i).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(o) = -o**3 - 20*o**2 - o - 20. What is h(-20)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 36 + -33. Find k, given that -20*k**2 - 15*k**g + 8*k**4 - 7*k - 2*k**5 + 15*k + 16 + 13*k**3 = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3*k**2 - 144*k + 144*k.\nAnswer: -3*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Work out -25.7 * -2.\nAnswer: 51.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((x\/x**(2\/7))**(-1\/29)*(x**(1\/4)*x)**(-1\/19))\/((x**(-2\/11))**(3\/4))**(-49) assuming x is positive.\nAnswer: x**(-1149303\/169708)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let h(f) = -f**2 - 8*f + 179. Let m be h(10). Let k be (-1 + 2\/4)\/((-3)\/(-6)). Let z be (k + ((-38)\/(-20) - 3))\/3. Is z greater than m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j*j\/j**(-2))**34*(j**(-7)*j)\/j**0 assuming j is positive.\nAnswer: j**130","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.1 minus 5044?\nAnswer: -5043.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*w**3\/3 - 4*w**2\/3 - 2*w\/3 + 4\/3.\nAnswer: 2*(w - 2)*(w - 1)*(w + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let v(n) be the second derivative of -n**3\/2 - 13*n**2\/2 + 2*n. Let l be v(-6). Suppose l*u - 65 = 160. What is the greatest common factor of 5 and u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -2097 + 5294. What is the hundreds digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is next in 12836, 25288, 37718, 50120, 62488, 74816, 87098, 99328?\nAnswer: 111500","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"}
{"text":"Question: Let c = 615 - 1209\/2. Let j(o) be the first derivative of 6*o + 9*o**3 + 5 + 15\/4*o**4 + c*o**2 + 3\/5*o**5. Factor j(b).\nAnswer: 3*(b + 1)**3*(b + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be ((-9213)\/(-296))\/((-1)\/(-8)). What is the highest common divisor of 415 and y?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*r = 14*r - 1224. Calculate the remainder when r is divided by 62.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -18*l + 25*l - 7. Which is smaller: l or 19\/11?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.2 + 2.01?\nAnswer: 2.21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 2 - -3334?\nAnswer: 3341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Add 5 and 4.728488.\nAnswer: 9.728488","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let y(f) = -4*f. Let n(s) = -3222561*s**2. Determine n(y(c)).\nAnswer: -51560976*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let a(k) be the second derivative of -3*k + 1\/3*k**3 + 0*k**2 + 0*k**4 + 0*k**6 + 0 + 1\/14*k**7 + 0*k**5. What is the second derivative of a(s) wrt s?\nAnswer: 60*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(v) = v**3 + 21*v**2 - 6. Let i be u(-21). Let w(h) = h**2 + 8*h + 8. Determine w(i).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(k) = k**2 + 2. Let f be j(0). Let s be f*(4 - (1 - -1)). Let t be 2\/s*(-4)\/8. Which is the nearest to t?  (a) 3  (b) -2  (c) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(i) = -i + 0*i - 2 + 0*i. Let c(p) = -2*p. Let y be c(-3). Determine t(y).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -4317, -4311, -4305, -4299, -4293?\n\"Answer: 6*n - 4323","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -3 + 6. Let g(a) = -a**2 + 4*a. Calculate the remainder when -1*((-12)\/2 - 2) is divided by g(n).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(h) = -65*h**2. Let a(v) = 23*v. Give a(x(r)).\nAnswer: -1495*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 80006408?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is -4\/13 equal to -7\/116?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Express (-3 + 1 + 0)*(85*k - 88 - 69*k - 14*k) as m + d*k and give m.\nAnswer: 176","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -72 = -14*q + 362. Let u = 14 - q. Sort 4, u, 2 in decreasing order.\nAnswer: 4, 2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*r = 2*z - 90, -2*r - 3*r = 2*z - 74. Let d be z - (-5 - (-7 + 4)). What is d rounded to the nearest 10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -576 - -580. Let u(q) = -29*q - 4. Let s(b) = -28*b - 4. Let o(a) = -6*s(a) + 5*u(a). Is o(k) a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {m: 3, v: 6, h: 1, t: 4, p: 3, i: 1}. Give prob of sequence ih.\nAnswer: 1\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -555, -261, 249, 981, 1941, 3135?\n\"Answer: s**3 + 102*s**2 - 19*s - 639","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g(h) = h**4 - 3*h**3 - 2*h**2 + h + 1. Let i(u) = 4*u**4 + 23*u**3 - 83*u**2 + 41*u + 5. Let k(j) = 10*g(j) - 2*i(j). Let k(q) = 0. Calculate q.\nAnswer: 0, 1, 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0239 times -3?\nAnswer: -0.0717","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let x(h) = -h**3 - 26*h**2 - 48*h - 86. Let n be x(-28). Suppose -m = -t + 703, -6*m = 4*t - 3*m - n. What is the units digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 2 - (-3)\/(3\/2). Suppose m - 19804897 + 6204897 = -5*p, 54400000 = 4*m + p. Suppose m = 5*s - u*s. What is s rounded to the nearest one million?\nAnswer: 14000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-199*h + 488*h + 1279*h + 1318*h - 433*h - 3)*(2*h + 3*h - 3*h) in the form j + x*h + w*h**2 and give w.\nAnswer: 4906","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is -99.683407 rounded to zero decimal places?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (3\/(-4))\/(25\/(-20))?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 54 and 9291159.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -41 + 39 + 22 + -48.\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -44*s**3 - 4*s**3 + 10*s**3.\nAnswer: -38*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 830.1 - 830. What is the closest to o in -11, 2, -4\/5?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -35*f - 26*f - 312 = -22*f for f.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 2233 and 6237?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 185\/300 + 2\/(-3). Let i = 1\/5 - r. Let w = -9 + 9.4. Which is the closest to i?  (a) w  (b) 2\/3  (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 54\/(19 + -10) + 511894. What is j rounded to the nearest 10000?\nAnswer: 510000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1 = -4*s + 9. Suppose -s*x = -3*k - 47, 0*k - k - 4*x + 3 = 0. Let r = k + 92. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-6)\/(-2) - (18 + -15). Solve -16*y + 13*y - 12 = -3*t, x = t - 3 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 42183531 and 312.\nAnswer: 337468248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let b(q) = -q**2 + 6*q - 6. Let u(v) = -5*v**2 - 3*v + 17. Let p(c) = 2*c**2 + 2*c - 8. Let o(m) = 7*p(m) + 3*u(m). Calculate -5*b(l) + 6*o(l).\nAnswer: -l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -77364 divided by 3.\nAnswer: -25788","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 9 = 3*i + 4*t, 3*i = -2*t + 27 - 24 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*z = z - 22. Let h(t) = t + 3. Let w be h(0). Let q = z - w. Is 7 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -53*d*q**3 - 606*d + 2*q**3 wrt q?\nAnswer: -159*d*q**2 + 6*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is (-3)\/4 + 666\/592?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-12 - 0) + -3 + 25 + -27 + (-22 - -12).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 102*t = -905322 + 905730 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: (1 - 3 - (99 - 106)) + (0 - -4)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q(y) = y**2. Let w be -3*8\/6*(-10)\/8. Let n(i) = 8*i - 5*i + i + w*i. What is n(q(a))?\nAnswer: 9*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {b: 5, u: 8}. What is prob of picking 1 u and 1 b?\nAnswer: 20\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (2 + -3 - -2)*0. Suppose -c + x*g + g - 5 = 0, -1 = -c + 4*g. Let f(u) = -2*u + 1. What are the prime factors of f(c)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 89 + -87. Let l(h) = -5*h + 5. Let o be l(-4). Suppose c = -w + o. What is the tens digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:11 AM and 12:42 PM?\nAnswer: 391","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let k(a) = a + 1. Let j be k(0). Suppose -q + 2 + j = 0. Suppose 6 = q*d - 3*o, -2*d - 2*o - 8 = 2*o. Solve d = -r - r - 5*g - 15, 3*g + 30 = 3*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:39 PM and 11:22 PM?\nAnswer: 283","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 19.51 rounded to the nearest 10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let -21*m**3\/2 + 459*m**2 - 4950*m - 1452 = 0. Calculate m.\nAnswer: -2\/7, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:08 PM and 7:59 AM?\nAnswer: 591","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -23 - -45. What is the greatest common divisor of 44 and s?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {g: 4, c: 1, j: 4, r: 6}. Give prob of picking 1 j and 2 r.\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((f*f**(-6))\/(f*f\/f**9*f))\/(((f**3*f)\/f*f)\/(f*f**(-3\/8))) assuming f is positive.\nAnswer: f**(-19\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let v(j) = j**2 - 106*j - 5798. Determine v(146).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -121, 76, 435, 980, 1735, 2724?\nAnswer: 3971","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Express (-o - 5*o + 0*o)*(-2*o**2 + 0*o**2 + 0*o**2)*(5*o - 4*o + 2*o) in the form y*o + x*o**4 + i + m*o**2 + w*o**3 and give x.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 741*j**2 - 62*j**3 + 0 - 1 - 741*j**2.\nAnswer: -62*j**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*w + 5*z - 13 = 0, -5*w + 5*z - 3 + 8 = 0. Let b(p) be the second derivative of 2\/3*p**4 + 0 - 4*p**w + 1\/5*p**5 + 9*p - 2\/3*p**3. Factor b(i).\nAnswer: 4*(i - 1)*(i + 1)*(i + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (760\/(-133))\/(2\/(-14)). Put -32, 1\/3, -5, b in ascending order.\nAnswer: -32, -5, 1\/3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 27224, -3, 8, 2 in decreasing order.\nAnswer: 27224, 8, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Add -0.2 and -786367496411.\nAnswer: -786367496411.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Put 160, -0.2, 0, 23, 3, 2\/35 in decreasing order.\nAnswer: 160, 23, 3, 2\/35, 0, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 196073 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 1478 + -858. Suppose 0 = -2*l + r + 1522. Is l a multiple of 73?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((t**(-2)\/t)\/(t*(t*t**(1\/23)*t)\/t))\/(t**1)**(-18) assuming t is positive.\nAnswer: t**(298\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 155\/681 + 2\/(-6). Let l = q - 9115\/1816. Find the common denominator of 145\/6 and l.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are 24952\/17351 and 0 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 6359?\nAnswer: 6359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let s(x) = 2*x**2 + 4*x. Let z be s(-6). Suppose 3*f - h = 2*h + 153, -f + z = -2*h. What is the highest common divisor of 6 and f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -358546, -717098, -1075650, -1434202, -1792754?\n\"Answer: -358552*w + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {u: 2, r: 1, p: 2, c: 1, t: 1}. Give prob of picking 1 c, 2 u, and 1 p.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -7 - -13. Suppose y + 42 = -a*y. Let j(i) = 3*i + 19. Let p be j(y). Is p less than 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -8748*o**2 - 8824*o**2 + 17563*o**2.\nAnswer: -9*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*h = 2 - 26. What is the remainder when h is divided by 4\/10 - 152\/(-95)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 3\/2*(-21)\/18*4. Let d be ((-63)\/t - 6) + (-1 - -2). Solve 4*j - 2*x = -16, -3*j + 2*j = d*x - 5 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -1284.10726745 - 1.63934255. Let c = g + 1149.746772. Let f = c - -136. Round f to five dps.\nAnswer: 0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6*s - 3*s - 1631*g - 20 + 16 = s - 1620*g + 43, 0 = -5*g - 15 for s.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: -2281422*-16\nAnswer: 36502752","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 3\/(-15) - (-26)\/5. Let q(j) be the first derivative of -j**2\/2 - j - 2. Let m(l) = -6*l + 6. Let b(p) = -m(p) + 5*q(p). What is b(r)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(v) be the third derivative of -v**5\/10 - 14*v**2. Let s(n) = n**2. Determine m(s(u)).\nAnswer: -6*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 631 minutes before 11:53 PM?\nAnswer: 1:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 87*d**3 + 64*d**2 - 620*d**3 - 64*d**2.\nAnswer: -533*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Does 17 divide 85?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let c(z) = -6*z - 19. Let h(a) = -2*a - 6. Let t(x) = 2*c(x) - 7*h(x). Find the first derivative of t(f) wrt f.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*c = c + 26. Let g = c + -13. Solve z = 3*t, -3*z + 0*t - 3*t = g for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 1111 and 1606607?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify y**(1\/5)*y**22*y assuming y is positive.\nAnswer: y**(116\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 46311 is divided by 11569.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is -3\/154654 less than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*q + 5*q = r - 10, 4*r = 2*q + 58. Suppose a + 3*w = r, 0*a - 2*w - 23 = -3*a. Solve -4*h + f = -a, 5*h + 2*f = -7 + 28 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -223\/27 + -64259\/108. Are m and -604 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:05 PM and 11:41 PM?\nAnswer: 576","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 0.02 - 0.32. Let p = 37\/66 - -7\/66. Let m = -1 + 7\/2. Which is the closest to -2?  (a) d  (b) m  (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*y**2 - 5 - 1 + 4)*(-2*y**2 + 2*y**2 + 2*y**2) + (2 - 2*y**2 - 2)*(-6*y**2 + y**2 - 2*y**2).\nAnswer: 20*y**4 - 4*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 4 x when four letters picked without replacement from xgxxxg?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: 728.563 - 0.1\nAnswer: 728.463","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 62331 and 945?\nAnswer: 19634265","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -2620, -2617, -2612, -2605, -2596?\n\"Answer: g**2 - 2621","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -50, -237, -572, -1055, -1686, -2465?\n\"Answer: -74*h**2 + 35*h - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(121)*2)\/sqrt(11) - (sqrt(11) + -2*sqrt(275)).\nAnswer: 11*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -214*p**3 + 1748*p**3 + 1947*p**3 + 1059*p**3.\nAnswer: 4540*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let i be -144 + 139 + (-66)\/(-20) - (-88)\/40. Find v such that -i*v**2 + 0 + 16*v = 0.\nAnswer: 0, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(c) = -3*c + 18. Let x be r(6). Suppose -y - 49 = -2*f - 3*f, x = 5*f - 2*y - 48. Solve -4*n - n = -f for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*i + 3 + 3. Is 15 a factor of (i + 18\/4)*6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sum -0.3 and -0.5284063.\nAnswer: -0.8284063","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1 + sqrt(343) + sqrt(343) + 2)**2 + sqrt(343) + sqrt(343) + sqrt(343).\nAnswer: 105*sqrt(7) + 1381","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: 291511 (base 11) to base 6\nAnswer: 13434135","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 14323589 to the power of 1\/4, to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-52 + 7*i - 50*i + 50)*(-5 + 2 + 4)*(7 + 4 + 0)*(1 - 3 + 4).\nAnswer: -946*i - 44","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let h(t) = -3*t - 5. Suppose 0 = -q - 3*b - 16, 3 = -b - 1. Let n be q\/10 + 18\/(-5). Calculate h(n).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*g + 2*b = 2, 2 = -93*g + 95*g + b for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 12 and 69?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 1007 - 1021. Let r = -19 + -1. Let q = m - r. Calculate the smallest common multiple of 14 and q.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, 11, 23, -3, -6 in decreasing order.\nAnswer: 23, 11, 4, -3, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -10 + 0 + (-45 - -41) + -29 + 12.\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -2749, -23370, -79667, -189478, -370641, -640994?\n\"Answer: -2973*u**3 + 190*u + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -345*a**2 + 169*a**2 + 4*a**6 + 163*a**2 + 6*a**3 + 0*a**3 + 5 wrt a?\nAnswer: 480*a**3 + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -21, -2, 1, 23\/3, 247 in decreasing order.\nAnswer: 247, 23\/3, 1, -2, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: (15984\/81)\/(-74)*((-17)\/17 - 338\/16)\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 3.2 + -2.25. Let f = q - 6.95. Which is the smallest value?  (a) 4  (b) f  (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"}
{"text":"Question: Is 3598674073 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10 = 2*l - 2, -2*h = 2*l. Suppose 4*d + 0*d = -4. Let m = 2 + d. Calculate the lowest common multiple of m and h.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be -3*(-260)\/(-11382)*124\/30. Let n = k - 2\/813. Are n and 20 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1?  (a) -0.05  (b) -1\/9  (c) -20\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 301 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve u = -3*j + 12, 5*j = 12*u - 7*u for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (1 - 39) + -332 + 287.\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 16\/6*(-15)\/(-10). Suppose -4*j + 291 - 60 = -3*y, 0 = -k*j + 2*y + 230. What is the units digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 7150 is divided by 341.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand -10*z + 10*z - 2*z**4 + z**5 + (-3*z - 2*z**4 + 3*z)*(0 + 0 - 2*z).\nAnswer: 5*z**5 - 2*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*b - 2*r = 8, b + 5*r - 4*r + 4 = 0. Let y(n) = n**2 - 9*n + 11. Let k(o) = 7*o**3 + 1. Let w be k(1). Let u be y(w). Solve 3*t + 0 - u = b for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(u) = -u**2 - 8*u + 207. Let b be m(-19). Sort 4, b, 3, -12 in decreasing order.\nAnswer: 4, 3, b, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 982066.5 micrograms to milligrams.\nAnswer: 982.0665","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -137 + 144. Calculate the remainder when 14 is divided by u.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.3?  (a) 1  (b) 1\/5  (c) -1\/5  (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -8*m**3 - 21322*m**2 + 3972652*m?\nAnswer: -48*m - 42644","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: -414736 divided by -322\nAnswer: 1288","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*n + 3*n = 2*q - 265, 4*n - 4*q = -224. Let x be 0*(11\/n - (-14)\/(-119)). Solve x = -0*r - 4*r - 12 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 52011?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let l be ((-20)\/(-7))\/((-12)\/(-42)). Let n = 21 - 14. Solve n*f - 2*f = l for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 47 + -6. Let m = s + -39. Let b be ((-33)\/77)\/(-2 + 5). What is the nearest to 1 in 1, m, b?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of (2 - (-10)\/193600*-38716)*26 and 73\/88?\nAnswer: 4840","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 37812367909 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let k(o) = -o**2. Let j(h) = 22 - 12 - 23*h - 10. Calculate k(j(t)).\nAnswer: -529*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4*(((-2*sqrt(700) + 4)*-6 - (2 + -3*(-5 + sqrt(700)))) + 4))**2.\nAnswer: -177600*sqrt(7) + 2541904","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 2106 + -2111. Let g = -1.1 - -0.8. Let q = -3 + 8. What is the nearest to 1 in l, g, q?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -413520 divided by -6.\nAnswer: 68920","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*p - 172 = 2*b, -48*b - 37*b + 3*p = -80*b - 2*p + 360 for b.\nAnswer: -76","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let a(g) be the first derivative of g**4\/16 - 31*g**3\/4 + 23*g**2\/2 - 1554. Factor a(u).\nAnswer: u*(u - 92)*(u - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 0.87, 2\/11, 1\/8, -1\/5?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y*y**0)\/(y*y**(-3\/4)\/y)*y**(-5)\/y**7 assuming y is positive.\nAnswer: y**(-41\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let l(o) = -2*o**3 + 22*o**2 - 50*o - 25. Determine l(7).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 2096412?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 396.338 + -396. Let d = o + -0.038. Let t = -12.2 + 12. What is the third biggest value in t, d, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.1008 take away -21?\nAnswer: 21.1008","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 1\/6 at most -149?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-1017)\/(-4972))\/(3\/(-8))?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 29*o**2 - 39*o**2 + 11*o**2 + 1498.\nAnswer: o**2 + 1498","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*y**2 - 6920*y - 280000 = 0 for y.\nAnswer: -40, 3500","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 68035557?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 3.8 + 0.2. Let b = 1003\/13 - 77. Let v = 2 + -2. What is the third biggest value in v, t, b?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 6 a factor of 1865?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 1009 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: Suppose -2*p = -6*p + 240. Let c be (-22 - -4)*(-3 + 2)*1. Suppose 0 = 5*y - 42 - c. What is the greatest common factor of p and y?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(b) = -12*b + 5. Let n(q) be the first derivative of 13*q**2\/2 - 6*q - 8. Let t(v) = -5*n(v) - 6*o(v). Let u(l) = -l. What is t(u(j))?\nAnswer: -7*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Find g, given that 2*g**5\/7 + 4*g**4 - 1922*g**3\/7 + 1676*g**2 - 9840*g\/7 = 0.\nAnswer: -41, 0, 1, 6, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -449*d + 5955 = 118 for d.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 130*p - 16*p - 5016. What is the highest common divisor of 1364 and p?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find j, given that -4\/9*j**2 + 32\/3 + 1\/9*j**5 - 1\/9*j**4 - 2*j**3 + 88\/9*j = 0.\nAnswer: -2, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -10, -6, 2, 14, 30?\n\"Answer: 2*c**2 - 2*c - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 19 a factor of 11913?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let d(y) = 2*y**2. Let r = -36 + 47. Suppose -3*o = -w + 3*w + 11, -5*o = -3*w + 31. Let f(u) = -r*u**w + 26*u**2 - 13*u**2. Give f(d(m)).\nAnswer: 8*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/50 of a millennium in months?\nAnswer: 720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7 = -4*v - 5*y, 4*v - 4125*y = -4129*y + 8 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {h: 1, v: 1, n: 3, g: 2, b: 3}. Give prob of sequence gbhv.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let c(s) = s**2. Let n(j) = j**2 - 7*j - 5. Let f be n(8). Let x be (f - (7 + -1))\/(-1). Let w(i) = x*i - 2*i + 7*i + 2*i. Give w(c(k)).\nAnswer: 10*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 71 + -71.28. Let t = -0.38 - n. What is the third biggest value in t, -18, 2\/13?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 17 - 15. Suppose 0 + 6 = 4*q + 3*j, 0 = 4*q - c*j - 16. What is the units digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((k\/k**2)\/k**(-3\/5)*k*k**(-4)*(k**6\/k)\/k)\/(k*k*k\/(k\/(k**3*k*k))*k*k**(2\/5))**(-1\/19) assuming k is positive.\nAnswer: k**(99\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -d**4\/6 + 55*d**3\/6 + 148*d**2\/3 + 40*d = 0.\nAnswer: -4, -1, 0, 60","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -980\/11 - -89. Which is the biggest value?  (a) -2  (b) -1\/6  (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(v) = 10*v**4 + 2*v**3 + 12*v**2 + 2*v - 18. Let p(n) = 9*n**4 + 3*n**3 + 15*n**2 + 3*n - 17. Let b(g) = -2*p(g) + 3*z(g). Differentiate b(u) wrt u.\nAnswer: 48*u**3 + 12*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 394128 divided by 63\nAnswer: 6256","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1 in 0.1, 4, -49052?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Divide 69299 by -529.\nAnswer: -131","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 78254?\nAnswer: 2, 11, 3557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 25*j - 204 = -77*j. Which is the third biggest value?  (a) j  (b) 3\/8  (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(b) = -2*b**2 - 7*b - 6. Let o(r) = -2*r**2 - 6*r - 5. Let k = 23 + -19. What is k*t(f) - 5*o(f)?\nAnswer: 2*f**2 + 2*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: -5879 divided by -5951\nAnswer: 5879\/5951","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Divide 120050 by 350.\nAnswer: 343","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -993290*l + 713489 with respect to l.\nAnswer: -993290","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: -18.834237 * -4\nAnswer: 75.336948","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 194*s**4 + 264 wrt s.\nAnswer: 776*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*d + 1 - 1)*(2*d - 3*d + 3*d) - 825*d**2 - 51*d - 57*d + 137*d**2 - 424*d**2 + 108*d.\nAnswer: -1108*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1069 = 280*g - 10971 for g.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 4900 a multiple of 165?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 11657*r**2 + 3*r**3 - 11672*r**2 + 5 - 2*r**3 + 4*r to the form t + k*r**2 + s*r**3 + b*r and give k.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 7 + -17. Let j = 9 + y. Let g be 1\/(-3) + (-2)\/30. What is the third biggest value in j, g, 5?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 43079 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let s(d) = 5*d**3 + 77*d**2 + 13*d + 199. What is s(-16)?\nAnswer: -777","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 h and 1 x when three letters picked without replacement from xzhhx.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 42 - 43. Let k(h) = -36*h**3 - h**2 - 2*h - 1. Let g be k(v). Let d = g + 2. Calculate the lowest common multiple of d and 16.\nAnswer: 304","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 0  (b) 883  (c) -33\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3*(3 + ((2*(sqrt(171)*-1 - sqrt(171)) - sqrt(171))**2 - (1 + (sqrt(171) - (sqrt(171) + 1)))**2)*-3*4).\nAnswer: -153891","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 26740?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 81637291 is divided by 849.\nAnswer: 847","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 85462480 divided by -464470?\nAnswer: -184","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 631 - 351. What is the greatest common factor of v and 266?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 18*w + 22 - 130 = 0. Let n be ((-30)\/(-20)*4\/w)\/(-1). Let a(r) = 5*r**2 - 1. Let h(i) = -i**3 - i**2. What is n*a(o) - 5*h(o)?\nAnswer: 5*o**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 37\/12 - 1*-1 and -39\/20?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-1)\/(-4) - 4\/16. Suppose p = r + 16 - 20. Let j be 15\/2*(-8)\/(-3). Solve 2*v + 8 = v + 4*y, r*v + j = 4*y for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*s + 8*s - 2*s)*(-2*s + 2*s - s**2) + (-s**2 - 2*s**2 + 4*s**2)*(-2 - s + 2).\nAnswer: -10*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: -4 times -205593033\nAnswer: 822372132","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 178 is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -0.18 - 0.02. Let t = -0.7 - p. Let d = -0.5000012 - t. What is d rounded to 6 decimal places?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 24051898 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(24)\/sqrt(2) + 5.\nAnswer: 2*sqrt(3) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 268181141 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -21*b + 370 = -344. Suppose -b = -5*r + 2*k, 5*r - 3*r - 19 = -k. Solve -r = 3*w - w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-50)\/(8 + 10\/(-30)*18)?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 25 a factor of 51622?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-5 + 1 + sqrt(605) + 4)**2*-5 + 3)*3*-2*-4.\nAnswer: -72528","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -19\/1338 or 1?\nAnswer: -19\/1338","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*sqrt(114))\/sqrt(6) + (2*sqrt(1539))**2 - (4 + (sqrt(38)\/sqrt(2))**2 + 2).\nAnswer: sqrt(19) + 6131","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t*t**3*t*t)**(-5) assuming t is positive.\nAnswer: t**(-30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let d(g) = g**2 - 9457*g - 123114. Calculate d(-13).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -5\/3 in -32, 0, 2\/9?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*g = 6, -3*f + g - 73 = -68. Sort -5\/4, f, 2, -2, 60 in descending order.\nAnswer: 60, 2, f, -5\/4, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(j) = -j**2 + 54*j + 713. Determine c(65).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let p(b) = -b + 28. Let a be p(0). Suppose -6*o + 196 = a. Suppose 3*y + 0 = 12. Calculate the highest common divisor of o and y.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -157 + 160. Suppose -2*w = -3*z + z + 1656, -4150 = -5*z + a*w. What is the highest common factor of 17 and z?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(i) = -5*i**3 + 3*i**2 + 5*i - 4. Let c(n) = 2*n**3 + n**2 + 2*n - 1. Let m(k) = -3*c(k) + l(k). Determine m(-1).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 191.34 and 591.\nAnswer: 113081.94","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 285\/164 + 1\/82. Are 2 and m non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from yveoiyivyveeyyyooe. Give prob of sequence ye.\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Express (w**2 + 0*w**2 + 5*w**2)*(4*w + 2*w - 4*w) - 36 + 36 + 2*w**3 as c*w + q*w**3 + n + z*w**2 and give q.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -7\/134832 and -71\/84270.\nAnswer: 674160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Convert 4 (base 16) to base 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express (-5*w**2 + w**2 + 0*w**2)*(-w - 3 + 3) - 22 + 22 + 2*w**3 - 7*w**2 as d*w**2 + f*w + v*w**3 + b and give d.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 18138 + -3?\nAnswer: 18135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let f(s) = 16*s + 24*s - 42*s - 6*s**3 - 31*s**2. Let a(o) = -13*o**3 - 63*o**2 - 5*o. Let g(j) = -2*a(j) + 5*f(j). What is the third derivative of g(u) wrt u?\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 2735 - 2709. Let b = -0.57 + -0.03. Which is smaller: m or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 34729211?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let p(j) = -j**3 + 7*j**2 - 3. Let f be p(7). Let g = 6 - 4. Let w(r) = -r - 3*r**g + 2*r**2 + 4*r - 5*r. Determine w(f).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Total of -382898 and 41345775.\nAnswer: 40962877","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is ((-247)\/(-1))\/(5\/5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(z) = z**2 - 6*z + 10. Let a be r(5). Suppose a*g = 2*h + 35, -4*h = -h + 3*g. Let y = -378 + 377.7. What is the closest to 6\/11 in y, h, -1\/3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -34\/7?  (a) 4.8  (b) 1  (c) -4  (d) -2\/11  (e) -5\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 1036199 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 7 + (10 - (36 - 10)) - -8.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Does 46 divide 12576?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 52586 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let m(l) = -l**3 - 6*l**2 - 6*l - 1. Let n be m(-5). Suppose 193*s - 44*s = -4*s + 1836. Solve -3*i + n - 11 = -4*b, -s = -4*i for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 195 minutes before 8:02 PM?\nAnswer: 4:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -7334055*l**2 - l + 5535469 wrt l.\nAnswer: -14668110*l - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.221685ms to nanoseconds.\nAnswer: 221685","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -51*u = -32*u - 61180. Calculate the highest common factor of 483 and u.\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*d - 2*d = 0. Sort 1, 4, d.\nAnswer: d, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.3, 0, -1196 in ascending order.\nAnswer: -1196, 0, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -3780 - -3780.4. What is the biggest value in -4, -4\/5, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(r) = -3*r**2 - 873*r - 59645. What is p(-182)?\nAnswer: -131","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 181479 is divided by 42.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -2 and 6?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((2 + (4*sqrt(363)*2 - (3 + sqrt(363) + sqrt(363)*-3))*1)*-1)**2 + -2.\nAnswer: -220*sqrt(3) + 36299","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let s(q) = -4*q + 243. What is s(64)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 1011110111101110000 (base 2) in base 8?\nAnswer: 1367560","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -395 in 0.5, 56, 3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*r - 12 = 3*r. Solve r = 2*l - l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose o - 4 + 0 = 0. Suppose 3*l - p = -l + 5, 3*l + 2*p - 1 = 0. Let j = 5 - l. Solve o*w = -b - j + 13, w = 2*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -68 + 48 - (-2 + -4) - (-123 + -16)?\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 14964?\nAnswer: 2, 3, 29, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*s + 0*s + 5*s)*(12*s + 11*s - 22*s + 18).\nAnswer: 2*s**2 + 36*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 5098819 is divided by 2549392?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (4095\/1274)\/9*-14?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d**2)**(-10\/11)\/(d\/(d*d**(2\/7)))**7 assuming d is positive.\nAnswer: d**(2\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let i(j) be the second derivative of -6*j**2 + 1\/24*j**4 + 0 - 13*j - 5\/6*j**3. Let x(z) be the first derivative of i(z). Calculate x(6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 8959882 times -1?\nAnswer: -8959882","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2382 is divided by 111.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, -44, -0.5, 2\/3, 0.2 in decreasing order.\nAnswer: 3, 2\/3, 0.2, -0.5, -44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d**(1\/3)*d)\/d**2*d**(-8\/7)\/(d*d**2) assuming d is positive.\nAnswer: d**(-101\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: 14112917255207+-0.42\nAnswer: 14112917255206.58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.1009 take away -221?\nAnswer: 221.1009","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -866 - -1.08?\nAnswer: -864.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let d(l) = -l**3 + 3*l**2 + 2*l + 4. Let r(v) = 3*v**3 - 7*v**2 - 4*v - 9. Let s(t) = 3*t**2 + 5*t - 175. Let i be s(7). Calculate i*d(f) + 3*r(f).\nAnswer: 2*f**3 + 2*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:22 PM and 6:19 AM?\nAnswer: 657","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, -3115, -5 in ascending order.\nAnswer: -3115, -5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let m(p) = p**2 - p + 2. Let j(o) = 4*o**2 + 3*o - 8. Suppose -t = -2*i + 10, 9 = 4*i - 5*t - 23. Let s(f) = i*m(f) + j(f). Let v(l) = -3*l**2. What is v(s(y))?\nAnswer: -147*y**4 + 84*y**2 - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 3293 - 849. What is the thousands digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0000005910091584 to seven dps.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 19*t - 2587 - 3398. Suppose 0 = -2*x - 3*v + 420, 5*x + 4*v - 735 - t = 0. What is the least common multiple of x and 33?\nAnswer: 2310","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Total of 5 and -0.48704.\nAnswer: 4.51296","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*b**2 - b + b)*(0*b + b - 3*b) + (5 + 2 - 1)*(2*b - 2*b + b)*((-35 + 35 - 17*b)*(-2 + 1 + 3) + 4 - 4 + 2*b)*(-b - 3*b + 3*b).\nAnswer: 188*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 3615265 and 0.02?\nAnswer: 3615264.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*y + 8 + 10 = 0. Let g(c) be the second derivative of -c**4\/12 - 3*c**3\/2 + 9*c**2\/2 + c. What is the units digit of g(y)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 9\/1100 and 113\/2621900?\nAnswer: 28840900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:27 PM and 8:17 AM?\nAnswer: 710","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let z**2\/4 + 54821*z\/4 - 27411\/2 = 0. What is z?\nAnswer: -54822, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.04428841 and -15.\nAnswer: 0.66432615","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: -24+-14171699\nAnswer: -14171723","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -0.016  (b) -4.654  (c) 5  (d) -9  (e) -1\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let z(n) = 3*n**2 + 8*n + 11. Let x be z(-4). Suppose 972 = -0*g + 4*g. Calculate the highest common factor of x and g.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be ((-96)\/10)\/(20\/(-50)). Suppose 0 = 4*w - 4*l - 80, 5*w - 53 = -2*l + 82. Let h = w - b. Which is smaller: h or 1\/39?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 510 and 150270?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 4\/10 - 46\/(-10). Suppose -5*w - 5 = 0, -a + 0*w + u = -3*w. Calculate the smallest common multiple of 20 and a.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 6947, 13874, 20765, 27602, 34367, 41042, 47609?\n\"Answer: -3*y**3 + 6948*y + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 28 + -2. Solve -5*f - t = -1 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(g) = -7*g**2 + 4*g + 4. Let s be p(-1). Let a(c) = 6*c - 2*c - c + c**2 + 14. Let x be a(s). Calculate the greatest common factor of x and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 295262301 to the nearest integer?\nAnswer: 666","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify h**(-16)*h**(-1\/11) assuming h is positive.\nAnswer: h**(-177\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 559 and 208.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 2 + -6. Suppose 10*x - 11*x = 5. Which is smaller: x or y?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g**(-1)*g*g*g*g**1*g)**37\/((g*g\/((((g*g**1)\/g*g)\/g*g)\/g)*g)**(-4\/7)*g\/(((g**(1\/8)*g)\/g*g)\/g*g)*((g**(-6)*g)\/g)\/g) assuming g is positive.\nAnswer: g**(8751\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 158040?\nAnswer: 2, 3, 5, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 10 + -11.2. Let t = -0.9 - z. Let d = 1.2 - 0.2. Which is the closest to d?  (a) 1  (b) 1\/9  (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 6678430 and 1671.\nAnswer: 557","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let z(k) = -k**2 - 2043*k - 15518. Let w be z(0). Which is greater: -15519 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 28\/(-140)*106\/1 - (-4)\/20.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in 736969.6 nanometers?\nAnswer: 736.9696","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 1073*c**3 + 8951*c**3 + 3725*c**3 + 2*c**2 + 178*c - 1 wrt c.\nAnswer: 82494","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 8*h**2 - 2*h**2 - h**2 + (-34 + 10*h + 34)*(-4 + 4 - 2*h).\nAnswer: -15*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 26365 to the nearest integer?\nAnswer: 162","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-10)\/(-2) - (12 + 181). Let a = i + 191. Suppose 0 = 4*s + 9 - 21, -5*s = -4*r - 11. Solve -3*c + o - 3*o = -4, -r = c + a*o for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 597 minutes before 12:01 AM?\nAnswer: 2:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let k(l) = l**2 + 44*l - 342. Calculate k(9).\nAnswer: 135","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*h - 773 - 137 = 0. Calculate the greatest common divisor of h and 50.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in 1\/4 of a kilogram?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from iddiy.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -24.3 - -24. Suppose -f = -2 - 3. Let l be 26\/8 + (f - 8). Which is the biggest value?  (a) l  (b) o  (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (0\/(2 - 1))\/(-1 + 2). Solve q*j = 2*y - 2*j + 2, 11 = 4*y - j for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 1 + 145*z**3 + 1 - 183*z**3 + (2 + 2*z**2 - 2)*(-5*z + z + 0*z) + 4*z**3 + 0*z**3 - 2*z**3 - 1 + 2*z**3 + 1.\nAnswer: -42*z**3 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 17024894779 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -i**5 + 4662*i**3 + 11*i**2 - i + 40986?\nAnswer: -20*i**3 + 27972*i + 22","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let g(s) be the first derivative of 8*s**3\/3 + 12*s - 11. What is the first derivative of g(f) wrt f?\nAnswer: 16*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 2*y**5\/19 - 2930*y**4\/19 + 984834*y**3\/19 + 65866922*y**2\/19 + 3101836*y - 389169312\/19 = 0. Calculate y.\nAnswer: -56, -3, 2, 761","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1 or -547.3?\nAnswer: -547.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 76\/16 + (-12)\/16. Solve 0 = -u*l + 4 + 4 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -11\/76 or 1?\nAnswer: -11\/76","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(117) + (sqrt(117) - (sqrt(117) + 2)))*-5)**2.\nAnswer: -300*sqrt(13) + 3025","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let g(i) = 54*i**2. Let w(d) = -10*d**2 + 4*d**2 + 5*d**2. What is w(g(m))?\nAnswer: -2916*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is -3307.939368 rounded to the nearest one hundred?\nAnswer: -3300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand 29*d**2 - 9*d**2 + 85*d**2 + (2 + 3*d**2 - 2)*(-1 - 2 + 2).\nAnswer: 102*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 27*a**3 - 129*a**3 - 57*a**3 - a to the form y*a**3 + u*a + s + q*a**2 and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 38367496 divided by 3.\nAnswer: 38367496\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let a be -1800*(-3 - 28\/12*-1). Let m be (a\/(-16))\/(3\/242400). Round m to the nearest one million.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -601.6*-5.\nAnswer: 3008","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Round 3756.725 to the nearest ten.\nAnswer: 3760","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let i(v) be the third derivative of -5*v**4\/4 - 76*v**2. Let t(f) = -2*f. Give i(t(b)).\nAnswer: 60*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 111240 or 110847?\nAnswer: 111240","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let n(a) = -a**3 + 8*a**2 - 7*a + 9. Let f = -10 - -17. What are the prime factors of n(f)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -157824 by 12.\nAnswer: -13152","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Express 35 - 35 + 9*c**2 + 3*c**2 + c - c + (-c - 2*c + 5*c)*(-2*c + 3 - 3) in the form u*c + r*c**2 + g and give r.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = u - 2*r - 2, -5*u - 4*r = 3 - 27. What is the least common multiple of u and 554?\nAnswer: 1108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1524597 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: Let g = -2.9 + 3. Let c = -359 + 717\/2. What is the biggest value in g, 2, c?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is thirteen fifths of a litre in millilitres?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 4 + 5*y + 2*y**3 - 5*y**4 - 5*y - y**2 + 6*y**4 to r*y**2 + i*y**3 + p*y + x + s*y**4 and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 243 minutes after 1:22 PM?\nAnswer: 5:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 17784532169 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -12 - -61\/5. Suppose -2*t - y + 5 = -2*y, -7 = -3*t + y. Suppose 0 = t*f - 2*g, -4 = -5*g + 1. Is i at least as big as f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 91, 196, 313, 442?\n\"Answer: 6*l**2 + 87*l - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v(f) = -f**3 - 4*f**2 - f - 2. Let c be 4*2\/(-6)*-3. Suppose -8 - 8 = c*p. Give v(p).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w**2*w**(-1\/9))\/(w**(-2\/3)\/w*w)**15*(w**(-4)\/w*w**(-2)*w)\/((((w*w*w**5)\/w)\/w)\/(w*w**(1\/6)\/w)) assuming w is positive.\nAnswer: w**(19\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 9  (b) -15  (c) -4  (d) -2\/15  (e) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0*j + 7 = 4*o - 3*j, 0 = -4*o - 5*j - 1 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7 = 2*m + 1. Let r(v) = -v**3 - 1. Suppose 2*y = 3*a - 16, -23 = 4*y - 3. Let f(q) = -7*q + 7*q - q**3 - a. Give m*r(u) + 2*f(u).\nAnswer: 2*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is -17 + 143\/13 + -3?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((w\/w**27*w)\/(w**(-5\/4)\/w))\/(w\/w**(2\/21)*w*w*(w\/(w**(-2\/39)*w*w))\/w*w))**(-1\/6) assuming w is positive.\nAnswer: w**(8993\/2184)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 4*o**3 + 2*o**4 - 4*o**3 + (2*o**2 + 2 - 2)*(3*o**2 - 12*o - 1526 + 1526) to q*o**3 + m*o**4 + x*o**2 + k + f*o and give m.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let v(p) = 7*p - 6. Let o be v(1). Solve 5 - o = -2*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:54 PM and 5:16 PM?\nAnswer: 202","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -115 = -3*m + 26*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let l(j) be the third derivative of -j**4\/12 - 8*j**2. Let v(n) be the third derivative of -n**5\/30 + 2*n**2. Calculate v(l(o)).\nAnswer: -8*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 59272 and 4154.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 3272.5 + -3273. Let f = 5.3 + -5. Sort i, -0.3, -0.4, f in decreasing order.\nAnswer: f, -0.3, -0.4, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(d) = -d**2 + 27*d - 98. Calculate the least common multiple of h(8) and 390.\nAnswer: 3510","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0*z + 0*z + 2*z**4 + (-5 + 4 - 1)*(z**2 - z**4 - z**2) + 0*z - z**4 + 0*z + 190*z**4 - 88*z**4 + 245*z**4 + (-2*z**3 + z**3 + 0*z**3)*(z + 0*z + 0*z).\nAnswer: 349*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: -324756 divided by 6\nAnswer: -54126","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 714 minutes before 12:17 PM?\nAnswer: 12:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -46 - -32. Let f = q - -12. Let y = 0.07 - 3.07. Which is smaller: y or f?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -160562*a + 0*a**3 + 160562*a + 1 + 2*a**3 - 1.\nAnswer: 2*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 491 is divided by 163.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 50484063 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -570, -1142, -1714, -2286?\n\"Answer: -572*a + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 4\/(-222)*21*68\/952?\nAnswer: -1\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 6499286879 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3043456045.\nAnswer: 5, 7, 86955887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (14\/(-42))\/(1\/3) - -4. Suppose g = 3*z + 1 + 6, -v*z + 4*g = 10. What is the nearest to -5 in -4, z, 5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (2 - 3)\/(1\/(-1)). Is 8 a factor of (s*3)\/(30\/160)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 35 - 5 = t. Let j be (-4)\/(-5)*t\/36. Let y = -3 - -2.8. Which is the closest to 1\/4?  (a) y  (b) -4  (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*d**4 - 7*d**3 - 6*d**2.\nAnswer: d**2*(d - 3)*(3*d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Convert -21022022112111 (base 3) to base 6.\nAnswer: -215124234","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 - (5 + (-2 + 5 - 5))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -2  (b) -4\/5  (c) 77\/3  (d) 2324\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -65 + 65. Suppose 5*u + 3*h - 181 = x, -u + 0*u + 35 = h. What is the remainder when 82 is divided by (-185)\/(-37) + (u - 0)?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 9366572, 9366571, 9366570, 9366569, 9366568, 9366567?\n\"Answer: -i + 9366573","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 1901333 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve -23*a + 9*a - 115 - 81 = 0 for a.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 26 (base 11) in base 4?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 4*z**2 - 4*z**6 - 59*z + 59*z wrt z.\nAnswer: -480*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1 + (-4 + 0 - -8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((3 - 2*s - 3)*(s + 0 + 0) + s**2 + 3 - 3)*(103*s + 18*s - 4*s).\nAnswer: -117*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -0.16 + 0.06. Let y = -3.1 - -3. Let c = y + g. Which is smaller: 1 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -7443329.92 minus 0.2?\nAnswer: -7443330.12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 940 and 2?\nAnswer: 940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 14 + -14.015. Round r to 2 decimal places.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 979 is divided by 319?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -196 + 206. What is the smallest common multiple of 64 and b?\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 39, -1, 2, 3 in ascending order.\nAnswer: -1, 2, 3, 39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*t + 30 = -3*i, -2*i + 6 = -3*t - 12. Let n(u) = 3*u**3 + 6*u**2 - 6. Let v(k) = 2*k**3 + 5*k**2 - 5. What is t*v(w) + 5*n(w)?\nAnswer: 3*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 96 - 95.93. Which is the closest to 2?  (a) u  (b) -5  (c) -0.06\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 16687.5 + -16848. Put 1\/2, -0.3, -1, c in decreasing order.\nAnswer: 1\/2, -0.3, -1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 38 - -15. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -22 - 2 = -3*g. Suppose -6*b = -2*b - g. Suppose -3*t - b*t = -55. Is 11 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 1 + o)*(-2 - 1 + 5)*(3*o**2 - 1335*o + 2*o**2 + 1336*o).\nAnswer: 10*o**3 + 2*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from xtxxxxxxxnxxx. Give prob of picking 1 t and 1 n.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14 = -4*h + 3*s, 2*s - 1 = h - 2. Let b = -5 + 5. Suppose y + b*y - 4*u = 20, 0 = h*y - 2*u - 64. Solve -4*f - y = -2*g, 5*g + 3*f + 18 = -4 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(i) = i + 6. Suppose -6*d = -5*d. Suppose 0 = -s - m + 20, -s = -d*s + 2*m - 22. Calculate the remainder when k(s) is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve m - 14 = 2*g, -670*g + 37 = -675*g + 3*m for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is -1002760 (base 11) in base 8?\nAnswer: -6613040","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express (0 + 1 - 14)*(0*u - 2*u + 6*u) + 15*u + 7*u - u in the form b + j*u and give j.\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let n(c) = 236*c**3 - 43*c**2 - 35*c + 1. Let y(r) = 241*r**3 - 46*r**2 - 38*r + 1. Let x(b) = 9*n(b) - 8*y(b). What is the third derivative of x(v) wrt v?\nAnswer: 1176","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-42*y**2 + 2*y - 4*y + 35*y**2)*(1 + 3 - 3)*(1 + 1 + 5)*(-1 + 3 - 3).\nAnswer: 49*y**2 + 14*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let o(x) = 7*x**3 + 11*x**2 + 12*x + 8. Let q(y) = -12*y**3 - 20*y**2 - 21*y - 15. Let d(v) = 7*o(v) + 4*q(v). Calculate d(3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 11 + -2. Let o = -72 - -53. Let g be o\/114 - ((-1)\/(-6))\/(-1). Solve 3*n + 0*n - w = g for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -5 divided by 21930.\nAnswer: -1\/4386","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*m + 1104 = -d, -3*m + m = 5*d - 753. Suppose -3*h = 2*f - m, -4*h - f = -439 - 53. What is the remainder when h is divided by 42?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -14\/4491 and 37\/1996?\nAnswer: 17964","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let q(i) = 2*i**2. Let t(p) be the third derivative of 7*p**4\/24 + 7*p**2. Give q(t(b)).\nAnswer: 98*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 50411.72 nanometers in millimeters?\nAnswer: 0.05041172","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -7 - -15. Suppose l = q + q. Suppose 6*a = q*a + 12. Solve -r + 4*r - a = 0 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -72007.2 + -12101.5. Let u = c + 84108.61999998. Let w = -0.08 - u. Round w to 7 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (0\/5)\/(1 - 2). Suppose 5*t + 20 = f, 10 = -5*a + 2*t - 7*t. Suppose -2 + a = -8*k. Solve k = -2*w - 3*w - 10 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.2*8150692\nAnswer: -1630138.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 17621236\/37739 - 6070\/13. Which is bigger: o or 0?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -10*o + 7*o + 15 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Put -99, -7, 690, -2, -8 in ascending order.\nAnswer: -99, -8, -7, -2, 690","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2398346 = 86*w - 893820. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0003652366 to 6 dps.\nAnswer: -0.000365","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 217170*p**2 + 337202.\nAnswer: 434340*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 1987 rounded to the nearest one hundred?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -157*b = -120*b - 12950. Let x(k) = k + 4. Let w be x(0). Let m be 2\/w*b\/(0 + 5). What is the greatest common factor of 5 and m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(i) = -i**3 - 26*i**2 + 90*i - 166. Calculate v(-29).\nAnswer: -253","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 5139, 10165, 15191, 20217?\nAnswer: 25243","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00079532 to five decimal places.\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 25827575 is divided by 13?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: -3 - ((-6 - 2) + 3)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 105\/(-12)*((-20)\/14)\/((-230)\/(-460)).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -481, 2\/9, 0.4, -0.15, -16?\nAnswer: -0.15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 4533 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: (70\/42)\/(25\/(-35))\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ttjtjpjjj. What is prob of picking 3 t and 1 p?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 y, 1 h, and 1 m when three letters picked without replacement from {m: 1, f: 2, v: 2, h: 2, w: 1, y: 1}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 32 and 276?\nAnswer: 2208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 2.6, -2\/5, 2, -2, -5, 0.5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5826 = -2*d + 5*l, 4*l = -3*d + 828 + 7865. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-7 + -132)*(-22)\/2 - -11. What is the biggest value in 4, 3, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 3 (base 5) to base 3\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*w - 4 + 4)*(4 - 146 - 1002) + w - 3 + 3 + 1 - 1 + w + (-1 + 2 - 3)*(0*w + 2*w - 4*w).\nAnswer: 4582*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Convert cbc (base 16) to base 2.\nAnswer: 110010111100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8176 = -15*m + 18*m + 5*x, 4*m - 5*x = 10843. What are the prime factors of m?\nAnswer: 11, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -89 - 69 = -2*w. Let k = w + -35. Suppose 0 = -s - 3*s + k. List the prime factors of s.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 45 + 403*t - 22*t**2 - 403*t - 45.\nAnswer: -22*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let f(k) = -k**2 - 8*k - 2. Let l be f(-7). Suppose -2*n + 0 + 32 = 0. Suppose -l*s - n = -9*s. Solve 0 = -s*p + 12 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -51\/29 - -313\/145. What is the nearest to 4 in 0.5, b, -0.3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add 32691 and -4.\nAnswer: 32687","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let l(y) = 1506*y + 5932. Calculate l(-4).\nAnswer: -92","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -25\/12 and 119\/7720?\nAnswer: 23160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Does 8 divide 563?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -3979, -4067, -4239, -4519, -4931, -5499, -6247, -7199?\nAnswer: -8379","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 1.6 - 1.583. Let x = -23.017 + k. Are x and 0 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -149 - 0.0281?\nAnswer: -149.0281","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 528 is divided by 109?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 73941 or 369702\/5?\nAnswer: 73941","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: -2495+-2\nAnswer: -2497","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let r(x) = 10*x**3 - 495*x**2 - 55*x - 110. Let y(o) = o**3 - 55*o**2 - 6*o - 12. Let w(d) = -6*r(d) + 55*y(d). Factor w(l).\nAnswer: -5*l**2*(l + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -4*m + 4, -4*m - 2*m + 3*m + 38 = 5*k for k.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Round 16366.4677 to the nearest 1000.\nAnswer: 16000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 3615 - 3610. Let b(y) be the second derivative of -8*y - 1\/20*y**s - 1\/12*y**4 + 0*y**2 + 0 + 0*y**3. Calculate b(2).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -11418730 divided by 2283746.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let d(p) be the first derivative of 507*p**4 - p**2\/2 + p + 6. Let t be d(1). Suppose -h = 4*w - 14400, 5*h + t = -2*w + 9228. Round w to the nearest 1000.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -30*a**3 - 32*a**4 + 7*a**3 + 7*a**4 + 29*a**3 - 1 + a**2 - 13*a to the form u*a**4 + d*a**3 + c + b*a**2 + y*a and give d.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 9284213 to the power of 1\/2, to the nearest integer?\nAnswer: 3047","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*u = -44 - 28. Let y be (u\/15)\/((-2)\/5). Let s = 25 + -22. Solve y = s*g + 15 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -6?  (a) 18  (b) 10  (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 386 + -3472\/9. What is the closest to 0 in 2\/13, 0, 1\/7, z?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -100772 divided by -25193\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 8411543?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((a\/(a*a**5))\/a)\/a*a**(-4))\/(a*a\/(a\/(a*a**(-2\/5)*a*a)))**(1\/46) assuming a is positive.\nAnswer: a**(-1274\/115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 m and 1 d when three letters picked without replacement from mdmdmmdmmd.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 27012.\nAnswer: 2, 3, 2251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 608600, 608601, 608602, 608603, 608604, 608605?\n\"Answer: n + 608599","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*q = -5*k + 83, -134*q + 70*q - 5*k = -65*q - 91 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1\/6?  (a) -5  (b) 0.2  (c) 1  (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1*((sqrt(275) + sqrt(11))**2 + -2).\nAnswer: -394","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let z(m) be the second derivative of -13*m**6\/15 - m**5\/4 + 19*m**4\/12 + 88*m. Find the third derivative of z(b) wrt b.\nAnswer: -624*b - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -368, -2\/7, -437\/11.\nAnswer: -368, -437\/11, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*j + 4 = -4. Suppose 390 = 2*p - j*v, -588 = -0*p - 3*p + 5*v. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*y**3 - 1380*y**2 - 126960*y - 3893440 = 0.\nAnswer: -92","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand 4*r**4 + r**4 - 9*r**4 + (30 - 17*r - 30)*(2 - r**3 - 2).\nAnswer: 13*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -729*b - 420 = -732*b. Suppose 144*r = b*r + 880. What is the greatest common factor of r and 132?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 4 (base 13) to base 2.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 48 + -9. What are the prime factors of i?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1781372 is divided by 31810?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 229 + 2?\nAnswer: 22b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -403003, -403005, -403007, -403009?\nAnswer: -403011","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -5443200 divided by -5670?\nAnswer: 960","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 2 + 36351166?\nAnswer: 36351201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.01 + -0.01496.\nAnswer: -0.02496","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is (10\/(-1))\/(97780\/317785)?\nAnswer: -65\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -113*t + 111*t = 4, 3*z - 4*t = 14898008. Round z to the nearest 100000.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 50023403 - -129.37.\nAnswer: 50023532.37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 28\/1899 or 1?\nAnswer: 28\/1899","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Factor -n**2\/6 + 7*n\/3 - 49\/6.\nAnswer: -(n - 7)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let k(d) = -5*d - 3. Let w(n) = -24*n - 16. Give -16*k(s) + 3*w(s).\nAnswer: 8*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 478927845 to the power of 1\/6, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is -11.4660198 take away 13198.89?\nAnswer: -13210.3560198","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 86785 and 255?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: (89\/(-178))\/(((-6)\/3)\/(10*(-16)\/520))\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 0.3  (b) 3\/259  (c) 0.02  (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -4 - -171. Let b = n - 128. Suppose 388 = -0*h + 2*h. Calculate the remainder when h is divided by b.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((3 - n - 3)*(-1 + 2 + 1) + n - n + n)*(29*n**4 + 28*n**4 + 23*n**4).\nAnswer: -80*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 777*q + 72 = 795*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-1)\/3 + 8\/(-4 - -12). Let b be 2\/4 - ((-21)\/54)\/(-1). Put z, b, 0.9 in ascending order.\nAnswer: b, z, 0.9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence prrr when four letters picked without replacement from pppprrpprrp?\nAnswer: 7\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {e: 1, x: 5, f: 1, b: 1, v: 1}. Give prob of picking 1 b and 1 f.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let i(x) = 98*x**2 - 2*x + 24. Let l be i(7). Suppose 0 = -10*b + 2558 + l. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 30003 (base 4) in base 10?\nAnswer: 771","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort 49999, 0.48, -2\/23 in decreasing order.\nAnswer: 49999, 0.48, -2\/23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is (-26)\/(-4680)*18*15?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 466.53 + 463.9854?\nAnswer: 930.5154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let l(c) = -2*c**2 + 2*c + 12. Let d(z) = 3 + 11 - 13. Let r(u) = -8*d(u) + l(u). Factor r(t).\nAnswer: -2*(t - 2)*(t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*n = 5*h + 1440, 2*h = 3*n + 2*n - 576. Find the common denominator of -79\/48 and (12\/h)\/((-6)\/340).\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(r) = 3*r**2 + 4*r + 5. Is o(-6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find s, given that s**3 + 163*s**2 - 333*s - 495 = 0.\nAnswer: -165, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (1 + -28613)\/(10980\/1000 + -11). What is x rounded to the nearest ten thousand?\nAnswer: 1430000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -1\/98 - -25\/49. What is the third smallest value in 6, 4, 3, d?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: (93\/(-16)*468\/351)\/((-10)\/40)\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -608, -604, -574, -506, -388, -208?\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j(u) = -1 - u - 4*u**2 + 5*u**2 - 2 - 7*u**2. Let h(t) = -11*t**2 - t - 5. Let r = 58 + -53. Give r*j(m) - 3*h(m).\nAnswer: 3*m**2 - 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3882.\nAnswer: 2, 3, 647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let 1012\/9*k + 0 - 2\/9*k**2 = 0. Calculate k.\nAnswer: 0, 506","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*q = -3*q + 15. Suppose -5*j - q + 13 = -5*a, -4*j - 4*a = -8. Factor 1\/2 - 1\/2*b**3 - 1\/2*b**j + 1\/2*b.\nAnswer: -(b - 1)*(b + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 35594?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -4 + -1 + (3 - -1) + -2.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 2.600106nm in centimeters?\nAnswer: 0.0000002600106","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 r and 2 f when three letters picked without replacement from {a: 1, f: 6, r: 2, p: 2, z: 1}?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-1 - 2) + (6 - (-10 + 10)) + 13.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s(q) = 12*q**2 + 15*q - 44. Is s(13) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(h) = h**3 - h - 14. Let f be m(0). Is 2 a factor of 69\/21 - (-4)\/f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*a**3 + 165*a**2 - 61445*a + 61275.\nAnswer: 5*(a - 95)*(a - 1)*(a + 129)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: -11212 times 0.08\nAnswer: -896.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*v + 3*u = 78, 20 = -2*v - 2*u - 16. Suppose c - 2*o + 4 = -10, -5*c = -4*o + 82. Which is smaller: c or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -g - 848*g**2 - 48 + 38*g**4 + 848*g**2 wrt g.\nAnswer: 152*g**3 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(h) be the third derivative of h**6\/120 + h**5\/15 - h**4\/4 - 2*h**3\/3 - 765*h**2. Let r(i) = i**3 - 6*i**2 - 7*i - 5. Let m be r(7). Determine o(m).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -233509 less than -25358744?\nAnswer: -25125235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 0.3, -2\/13, -3\/5, -41, 1\/63?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1997 is divided by 449?\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is -9178.9 minus -0.06?\nAnswer: -9178.84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 28*n**4 + 903*n**2 + 1656481 wrt n.\nAnswer: 112*n**3 + 1806*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5 + 673*h**3 + 8 - 724*h**3 - 13 + 50*h**3.\nAnswer: -h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 326858\/154 - (-6)\/11?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*b + 454 = -s, -s - 3*b + 4*b - 442 = 0. What is the tens digit of s\/(-26) - (-4)\/(-26)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 43 + 35. Let s(t) = -5*t + 80. Calculate the remainder when y is divided by s(8).\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sum -0.021490733 and 3958291.\nAnswer: 3958290.978509267","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 85, 431, 745, 1027?\n\"Answer: -16*f**2 + 394*f - 293","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b(w) = -3*w**3 + 124*w**2 + 86*w - 78. Calculate b(42).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 0.13 - -4.87. Let g = -3 + w. Which is the closest to 1?  (a) -0.3  (b) 1\/9  (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(k) = -8*k**2 - 8*k - 7. Let t(w) = 122609*w**2 + 17*w + 5 + 10 - 122592*w**2. Give -13*a(g) - 6*t(g).\nAnswer: 2*g**2 + 2*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 368962238 plus 19.7?\nAnswer: 368962257.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -878954 or -878960?\nAnswer: -878960","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -2, 403, 1506, 3661, 7222, 12543, 19978?\n\"Answer: 59*n**3 - 5*n**2 + 7*n - 63","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 2879053 a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let z(a) = a**3 + 16*a**2 + 22*a + 5. Let i be -14 - (-2 + (4 - 6)). What is the tens digit of z(i)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 5*(126\/15)\/2. Let q(x) = 12*x - 411. Let o be q(36). Calculate the greatest common factor of o and i.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 68  (b) 2  (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (5 - 2 - 1)*3. Let m(b) = -o*b + 3 - 7*b**2 + 0*b**3 - 7 - b**3. Let y be m(-6). Which is bigger: y or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2242 plus 0.1?\nAnswer: 2242.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let m(x) = -2 + 13*x + 18*x**2 - 167*x**3 + 73*x**3 + 96*x**3. Calculate m(-8).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 337887 is divided by 336.\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 u when two letters picked without replacement from {u: 2, t: 1}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is -7 - 0 - (-11 - -17)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8 = -4*f - 4. Calculate the remainder when 24 - (f\/6)\/(3\/6) is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 90824.\nAnswer: 2, 11353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 3*23\/(-3) - (-13970)\/1905?\nAnswer: -47\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 20853?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence mffw when four letters picked without replacement from fmmwfmawfawafaaawfmw.\nAnswer: 10\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 406 = -8*x + 3318. What is the greatest common divisor of x and 42?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 85, 46, 5, -38, -83?\nAnswer: -130","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: -3515715 divided by 6\nAnswer: -1171905\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 11 + (236 - 123) + -105.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -85 + 279. Let n = 369 - t. Calculate the greatest common factor of 25 and n.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 1541 and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is -114 != 34?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -37 - -57. Let q = m - 19. Let j = 9 + -5. Which is the third smallest value?  (a) j  (b) q  (c) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -25095 + 37845. What is the greatest common divisor of m and 102?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 98 - 99. Is -1 less than or equal to l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3608*k**3 + 5801*k**3 - 3874*k**3.\nAnswer: -1681*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -106, -257, -454, -703, -1010, -1381?\n\"Answer: -j**3 - 17*j**2 - 93*j + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 242016?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose r = -0*r - 4. Let d = -8 - r. Let b = 1 - d. Sort 3, -2, b in ascending order.\nAnswer: -2, 3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-126)\/(-1782) + (-6)\/(-99)*-3.\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -325.2 + 62.2. Let r = s - -262.999756. Round r to 5 decimal places.\nAnswer: -0.00024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 13*k = 5*o + 61 - 20, -3*o = -2*k + 13 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -2*g**4 - 1395963*g**3 + 72191363?\nAnswer: -8*g**3 - 4187889*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 3\/(7\/((-84)\/(-9))). Let l be (-9 - -2) + 3 + o. Suppose l = -0*m + 4*m. What is the nearest to 0 in -2, m, 2\/3?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let u be (4 - 20)*(-1)\/2. Let v(g) = 3*g + 5. Let z be v(-6). Let o = u + z. What is o rounded to the nearest 10?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 0 + (5 - 3) + 53. Let y be (-3)\/7 + (-444)\/42. What is the units digit of (16\/(-5))\/(y\/c)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*u - 8. Suppose 5*s + 9 = 4*t, t = 4*s - 2*t + 8. Sort s, 0, u in ascending order.\nAnswer: s, 0, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 26 and 151.\nAnswer: 3926","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is -7.146337 take away -5.5?\nAnswer: -1.646337","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:13 PM and 3:06 AM?\nAnswer: 473","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -12*b - 37559*w + 37562*w + 84, 4*w - 24 = -b for b.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify f**20\/(f*f**3*f) assuming f is positive.\nAnswer: f**15","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let y(q) be the second derivative of 7*q**3\/2 - 279*q. Let x(z) be the third derivative of -z**5\/60 - 52*z**2. What is x(y(p))?\nAnswer: -441*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Express (105 - 13 + 6)*(-11*b**2 + 1 + 1 + 28*b**2) as x*b**2 + f*b + n and give n.\nAnswer: 196","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2 in -0.023, 2\/5, 1\/34015?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.029 and 2.\nAnswer: 0.058","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*z - 4 = 8. Solve -5 = -g - 4*g, -m + z = -3*g for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 0.2 + -5.2. Let j = -7 - w. What is the closest to 0 in 0.1, -0.4, j?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2 + sqrt(1053) + -2 + sqrt(1053))**2.\nAnswer: -144*sqrt(13) + 4228","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 6 - 5.8. Let r = 0.8 + m. Let s be -3 + 4 + 1\/(-2). Put 1\/6, -2\/17, r, s in ascending order.\nAnswer: -2\/17, 1\/6, s, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 11485621 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*c**5 + 65*c**4 - 250*c**3 - 7570*c**2 - 40075*c - 67375 = 0. Calculate c.\nAnswer: -7, -5, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 92305169?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -4*d**2*k - d**2 - d*k + 941*d - 105813*k wrt d?\nAnswer: -8*d*k - 2*d - k + 941","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.1 in 56, 4, 1\/5, -0.07?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let g(l) = 8146 - 33*l + 17*l - 40*l - 8314. Is g(-22) a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 25\/5*6\/(-6)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i be ((-3)\/3)\/(4\/(-268 + 0)). Suppose -64*y - 21 = -i*y. What is the greatest common factor of y and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-10)\/(-2) - (-15)\/1. Let j = 464 + -324. What is the greatest common factor of a and j?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*i + 4*m = -i - 10, -2 = m. Let z(k) = -10*k - 20. Let o be z(32). Let h = o + 342. Put -3, i, h in ascending order.\nAnswer: -3, i, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -833, -1665, -2499, -3335, -4173, -5013?\nAnswer: -5855","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is ((37 - 13) + 21 + -2 + -225)\/((-4)\/(-2))?\nAnswer: -91","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -472484 or -472286?\nAnswer: -472484","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -487 times 197195?\nAnswer: -96033965","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -0.41  (b) -0.4  (c) -1\/2  (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 8 + -8. Suppose g = -4*d - 4. Let l = 1 + d. Solve l = -0*m - m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(n) be the third derivative of -n**10\/8400 + n**6\/180 + 4*n**5\/15 - 12*n**2. Let y(s) be the third derivative of q(s). Differentiate y(k) wrt k.\nAnswer: -72*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 11 a factor of 899?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: -193*0.57\nAnswer: -110.01","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 47268490.\nAnswer: 2, 5, 31, 41, 3719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -3639, -3659, -3693, -3741?\nAnswer: -3803","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 89 = -2*p + 301. Let w be (-4)\/(3 + (-188)\/60). Is 12\/w - p\/(-10) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 444\/(-555)*10\/(-12). What is the closest to 1 in x, 0.2, 0, 4?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sum -2114 and 83931.\nAnswer: 81817","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -64076 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (((-19)\/(-24))\/(-19))\/(90\/360)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i(y) be the first derivative of -1\/5*y**5 + 7 + 2*y**2 + y**4 - y - 2*y**3. Factor i(a).\nAnswer: -(a - 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00000382235048 rounded to 7 decimal places?\nAnswer: -0.0000038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 127123 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 673 + -1136. Let c = z + 468. Let m = 0.03 - -1.97. What is the closest to 0.2 in c, -2, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*h + 12818 = -2*r, -4*r = -5 + 17. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*i + 192280 = 5*h + 13*i, -4*h - 4*i = -153832. What is the tens digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1984?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.1?  (a) -113  (b) -4  (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let v(r) = 6*r + 11. Let h(a) = 5*a + 11. Let t(l) = -3*h(l) + 4*v(l). Let w(s) = -3 + 2 - 4 - 4*s. Give 6*t(z) + 13*w(z).\nAnswer: 2*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 110190 + -110191. Let p(n) = -17*n**3 - 6*n**3 + 3*n - 2*n + 1. What is p(k)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 108583, 217148, 325707, 434266, 542831, 651408, 760003, 868622?\nAnswer: 977271","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v(x) = 9*x**3 - 3*x + 2. Let l be -1*(-3)\/6*-2 + 2. What is the smallest common multiple of 8 and v(l)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:15 PM and 5:23 AM?\nAnswer: 428","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let a(k) = -9*k + 31. Let d = -153 - -157. Let r(q) = -16*q + 61. Let p(m) = d*r(m) - 7*a(m). Determine p(0).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 31 + -10. Suppose 0 = -5*f + 4 + s. Solve 3*d = -3*z - z - 7, f*d + 5*z + 15 = 0 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*h - m + 6510, m + 7*m + 3272 = 2*h. Solve h*x + 21 = 1621*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 33077 = 32*r - 21*r. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g**(-2\/11))**14\/(g**4)**(1\/18) assuming g is positive.\nAnswer: g**(-274\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 27 and 291750.\nAnswer: 2625750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is -10 (base 2) in base 10?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of a**4*f + 5*a**3*f**2 - 5*a**2 - 434*f**2 wrt a?\nAnswer: 4*a**3*f + 15*a**2*f**2 - 10*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Convert 373418 (base 12) to base 5.\nAnswer: 212204203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 4\/(-22) - 12\/(-66)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -531.94 - -532. Which is the closest to 6?  (a) -0.1  (b) k  (c) -4  (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 5 - 24*n - 31*n + 57*n to r + l*n and give r.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 432 - 430. Suppose s*i - 54 = -i. What is the remainder when 388 is divided by i?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2 in -60651, -1, 0.4, 3, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1150170.\nAnswer: 2, 3, 5, 7, 5477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*m - 1 + 1)*(0*m**2 + 5*m**3 + 0*m**2) + 0*m**4 - 3*m**4 + 2*m**4 + (6*m + 4*m**4 - 6*m)*(70 + 91 - 116 + 80).\nAnswer: 509*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from pzpzdjjpqpzddpj. What is prob of picking 1 d and 1 p?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify g**(-37)\/g**0 assuming g is positive.\nAnswer: g**(-37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 35641, 285185, 962509, 2281501, 4456049, 7700041?\nAnswer: 12227365","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 216318420?\nAnswer: 2, 3, 5, 19, 3329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 76, 67, 56, 43, 28, 11?\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 62 - -6. Suppose 2*p + 3*a = 2*a - v, -p - 48 = -3*a. Let y = 90 + p. List the prime factors of y.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(a) = 2*a**3 + a**2 - a + 1. Let r(p) = 7*p**3 + 23*p**2 + 19*p + 9. Let l(y) = r(y) - 3*v(y). What is the hundreds digit of l(-18)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(h) be the third derivative of -h**5\/20 - 50*h**2 + 7*h. Let q(v) = -11*v + 14. Calculate o(q(c)).\nAnswer: -363*c**2 + 924*c - 588","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 209 + -78. Suppose -1 = a, -2*k + 2*a + v = 3*a. What are the prime factors of k?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 21 + -19 + (0 - -4 - 0) + 3?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -79188128747.94 take away 0.2?\nAnswer: -79188128748.14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let g(j) = -5195*j + 389. Is g(-40) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: -731 (base 16) to base 5\nAnswer: -24331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 904 - 905 = 19*v - 65*v - 1841 for v.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let i(v) = v - 8. Calculate i(5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*v - 3*y - 5 = 0, 15 = -6*y + y for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*x - 461 = 329. Suppose 73 = -2*u + x. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -26*b**6 - 28*b - 31*b + 437*b**5 + 436*b**5 - b**2 - 873*b**5 wrt b?\nAnswer: -3120*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 19\/3?  (a) 8  (b) 1\/4  (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 18 - 12. Let v = x - 4. Let c be ((-6)\/v)\/3 + 2. Solve -k + c = -0*k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 83 and 581?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1 + -2 + -1 + 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r(w) be the first derivative of w**2\/2 + 7*w + 15. Let u(h) = 1. Let s(n) = -2*r(n) + 14*u(n). Let g(q) = -7*q. What is g(s(x))?\nAnswer: 14*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 248923051 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let h(w) = -1. Let m(z) be the third derivative of z**4\/24 + z**3\/6 - 4*z**2. Suppose -3*y + 2*u = -7*y + 2, 18 = y + 4*u. Calculate y*m(o) - 2*h(o).\nAnswer: -2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let n(m) = 7*m**2 + 3*m + 4. Let v(r) = -8*r**2 - 3*r - 5. What is -3*n(h) - 2*v(h)?\nAnswer: -5*h**2 - 3*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let o(i) = -i**3 - 8*i**2 + 14*i + 14. Suppose -3*s + 0*s = 3*j + 33, 3*s + 3 = 0. Let r(g) = 70*g - 331. What is the remainder when o(j) is divided by r(5)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(l) = 7*l**2 - 5*l + 2. Let x(w) = 7*w**2 - 4*w + 1. What is -4*c(d) + 5*x(d)?\nAnswer: 7*d**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0125015 plus -29.0076?\nAnswer: -28.9950985","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 3746359 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 3010130201 (base 4) in base 9?\nAnswer: 1455675","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh smallest value in 47, 4, -39, 0, -6.9, 22, 5?\nAnswer: 47","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, 5, 4, 33, -497.\nAnswer: -497, 0, 4, 5, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 78369 is divided by 209.\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 553281667.\nAnswer: 151, 3664117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 4060939051?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {o: 1, p: 2, d: 1, q: 8, j: 2}. Give prob of sequence jdj.\nAnswer: 1\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 3412737764 - -5?\nAnswer: 3412737771","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 l, 1 j, and 1 h when three letters picked without replacement from {l: 2, y: 2, h: 3, j: 6, v: 3}.\nAnswer: 9\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 15 + -9. Suppose 4*g - 46 = -4*k + 2*g, k + 4*g + v = 0. Let f = k + 5. What is the units digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1804716 divided by -4.\nAnswer: 451179","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 9133 - 283099\/31. Let j = -2153\/62 - i. Calculate the common denominator of -27\/4 and j.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h**(1\/2)\/h)**(7\/6)\/((h*h**(-2)*h)\/((h**0\/h)\/h))*(h**(-1)*h*h**(-11))**42 assuming h is positive.\nAnswer: h**(-5575\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 91\/3?  (a) 4  (b) -4  (c) -1  (d) 1\/26  (e) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 1980 and 184028.\nAnswer: 91093860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -3899 - -3919. Sort 10\/9, 1\/2, m, 1 in increasing order.\nAnswer: 1\/2, 1, 10\/9, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 5*a**2*u**3 + 11*a**2*u - 245*a**2 + 335*a*u**3 + 4*a*u**2 - 7*u**3 - 1 wrt u.\nAnswer: 30*a**2 + 2010*a - 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 202921 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 10000 - -101001100100011?\nAnswer: 101001100110011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -1020 - 5?\nAnswer: -1025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -48*t**2 + 0*t**2 + 18*t**2.\nAnswer: -30*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*x**4 - 390*x**3 - 6740*x**2 - 21690*x - 15345 = 0.\nAnswer: -11, -3, -1, 93","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-2 - (-7)\/4) + 284\/(-80) + 5?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 1098199, 4393240, 9884975, 17573404, 27458527?\nAnswer: 39540344","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v*(v**(-6)*v)\/v)\/(((v**(1\/3)*v)\/v)\/v)*((v*v\/v**(1\/6)*v*v)\/v)\/(v**(1\/6)*v*v*v) assuming v is positive.\nAnswer: v**(-14\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -218, -881, -1988, -3545, -5558, -8033, -10976?\n\"Answer: -v**3 - 216*v**2 - 8*v + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -16, -77, -172, -307, -488, -721, -1012, -1367?\n\"Answer: -r**3 - 11*r**2 - 21*r + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -13.4 - -128.4. Let z = -116 + j. Let b = 8 + -7. Put b, z, 3 in ascending order.\nAnswer: z, b, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 49639013 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 e when two letters picked without replacement from {a: 2, e: 6}?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: -869 divided by 604330\nAnswer: -869\/604330","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: 7911 divided by 431\nAnswer: 7911\/431","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 49685158 is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: 21 + ((-5762796)\/(-91120) - 83) + 10\/(-8)\nAnswer: -2\/335","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (36 + 0*z**4 - 404*z**5 + 405*z**5 - z**4)*(1 + 0 - 2).\nAnswer: -z**5 + z**4 - 36","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*r = -5*r - 23*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*c + 2*o - 605 = 3*o, 4*o = -12. Suppose -c = 4*w + 67. Let z = 131 + w. List the prime factors of z.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(i) = 16*i + 312. Let m be w(-21). What is the second biggest value in m, 3, 14?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4 - 4 + 2)*((-4 + 4 - r)*(-6 + 4 + 1) + r + 1 - 1 + r + r + 0*r)*(18 - 4*r - 18).\nAnswer: -32*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 311341 + 404242. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 4483560 by -2241780.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let p(a) = -10*a. Let d(r) be the first derivative of -13*r**3 - 3*r**2\/2 + 1727. What is d(p(w))?\nAnswer: -3900*w**2 + 30*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -k - 4*d = -23, -k = -5*d + 17 + 5. Suppose k*v = v + 18. Calculate the remainder when 24 is divided by v.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -9 - -9. Suppose 4*m = -z*m + 4. Is 4\/11 less than m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 945751133 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 56.1 - 56. Let q be (5 - 4)\/((-5)\/2). What is the biggest value in 1, q, 4\/3, z?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -110031 (base 4) in base 14?\nAnswer: -685","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c(q) be the second derivative of -263*q**6\/3 + q**3\/6 - 27*q**2 - 627*q. What is the second derivative of c(d) wrt d?\nAnswer: -31560*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(n) = 2*n**2 + n + 6. Let x be r(-6). Suppose -3*g = -7*g + x. What is the units digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 21948089?\nAnswer: 21948089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -1245.3 from -0.1.\nAnswer: 1245.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 22075.00032 - 22079. Let m = 4 + g. What is m rounded to four decimal places?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*n - 4*n - 9 = 0. Suppose -30 = -6*j + n*j. Let a(b) = 2*b - 6*b**2 + b**3 - j + 5 - 2. What is a(6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(y) = 19*y**2 + 2*y - 1. Is 20 a factor of o(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 94273 to the power of 1\/2, to the nearest integer?\nAnswer: 307","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -341*l + 180 + 135 - 9 = -35 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let q(w) = 3*w**3 - 34*w**2 + 1194*w - 13007. Determine q(11).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 327.61 + -329. Let h = n - -0.69. Let z = h + -0.3. Which is greater: 10 or z?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 26943 is divided by 10?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: -3ec1c (base 16) to base 11\nAnswer: -166144","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 141315617 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let d(h) = -1318*h. Let w = 15 + -11. Let u be d(w). Let c = u + 63215\/12. Calculate the common denominator of c and -71\/18.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -54 + 50 + 8 - (-2 - 8).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*y - 20, 0*m = -2*m - 5*y + 18. Let h be 23\/21 - m\/3. Is 2 < h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from qqhhfffofoofyfoqfo. What is prob of sequence oqhf?\nAnswer: 7\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -240*r = 155*r + 210*r - 9075. Suppose 5*x = 14 + 41. Calculate the least common multiple of x and r.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2 = 5*d - 27, 0 = -r + 4*d - 28. Let s(p) = p**2 + 7*p - 5. Determine s(r).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 - 3 - 3)*(-16*g**4 - 56*g**3 + 56*g**3) + g**4 + 2*g**4 - 17*g**4.\nAnswer: 82*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 22*p**6*s + 2*p**6 + 9*p**2*s + 70*p*s wrt p?\nAnswer: 2640*p**3*s + 240*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -10 = 228*k - 229*k + 3*d, 5*k + 13 = -6*d for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let j(p) = p**3 + 20*p**2 + 25*p - 9. Let a be j(-19). Let k = a - -137. Solve b = -4*l - 10, l - k = 4*b + 4*l for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 60 divide 11520?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 25805793.58 + -26202786.5782. Let v = y + 396878. Let m = -115 - v. Round m to 4 dps.\nAnswer: -0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*g + 4*h - 184 = -44, 0 = g - 2*h - 50. What is the remainder when 15518 is divided by g?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(s) = -782*s - 12024. Let v(w) = -142*w - 2405. Give 2*l(m) - 11*v(m).\nAnswer: -2*m + 2407","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Convert 4158 (base 13) to base 9.\nAnswer: 13343","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q(c) = -17178*c + 4044. Let a be q(98). Round a to the nearest 1000000.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 564 minutes after 12:24 AM?\nAnswer: 9:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*y + 2*c + 2, -5*y + 3*c = -y - 24. Let f = y - -27. Does 15 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -11079.1795 + 11085. Round k to one dp.\nAnswer: 5.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 285 divide 782441315?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 199017 and 72171.\nAnswer: 6567561","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -116.204 and 40.\nAnswer: -4648.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 54 - 54 - s.\nAnswer: -s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -2066 - -2068. Which is the closest to 0?  (a) n  (b) 0.001  (c) -2\/5  (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(b) = b**2 + b - 1. Let g(h) = h**3 + 4*h**2 + 5*h - 6. Let a(x) = -g(x) + 4*m(x). Let f be a(0). Let z = -40 + 57. Solve -f = -5*s - z for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 3\/8 of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -24071 = -349*j - 669*j + 11559 for j.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let c(s) = -s**3 + 9*s**2 - 7*s + 5. Let g be c(8). Suppose 3 + g = 4*j. Solve -r = -2*r - j for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is thirty-one fifths of a centimeter in micrometers?\nAnswer: 62000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 687 minutes before 1:32 PM?\nAnswer: 2:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -37, -38, -31, -22, -17, -22?\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -8?  (a) -21.1  (b) -2\/3  (c) -5\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let t(f) be the first derivative of 16 + 11 + 2*f**2 + 12*f + f**3 + 4*f**2. Factor t(i).\nAnswer: 3*(i + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -6794, -27175, -61158, -108743, -169930, -244719, -333110?\nAnswer: -435103","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t(a) = 9*a - 274. What is t(-13)?\nAnswer: -391","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 297 divided by 2793?\nAnswer: 99\/931","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 b, 1 x, and 1 s when three letters picked without replacement from skskbmxi?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 0.26976 - 0.06976. What is the closest to 0 in 3\/8, j, 6, 75?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*j + 3*b + 2*b + 11, 4*j - 3 = -5*b. Suppose -j*a = a - 6, -a = 3*c - 14. Put 0, c, 5 in increasing order.\nAnswer: 0, c, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 4*o**3 + 23640*o**2 + 32503196*o + 32479560 = 0. Calculate o.\nAnswer: -3735, -2174, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 66953.\nAnswer: 23, 41, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*w + 5*y = 35, 3*w + 5*y - y = 25. Suppose -5*j = -w*j. Suppose 3*s + 3*d = -d + 2, 3*s = 5*d + 11. Put j, s, 1 in decreasing order.\nAnswer: s, 1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -238*h - 157*h = -11906 - 52479. Is h bigger than 45?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(s) = -6*s - 8*s - 11*s + 5*s - 8*s - 3. Let m(l) = -l. Calculate m(u(o)).\nAnswer: 28*o + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1366 is divided by 453.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -46\/290071 and 36\/32657.\nAnswer: 4931207","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let t(g) = -g**2 - 16*g - 12. Let x(j) = j - 4. Let h be x(-11). Let b be t(h). Determine c, given that -4*c**3 + 6*c**b + 2*c**2 - c - 2*c**3 - 2 + c**3 = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 64654 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 5402 and 148.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 4226 and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 11\/22 - 1\/2. Solve 6*b - 2*b**3 + 1 - 3 + r - 2 = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify z\/z**(-1\/6)*z**(1\/5)*z**0*z*z\/(z*z\/z**(2\/5))*z assuming z is positive.\nAnswer: z**(83\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 141 minutes before 6:17 AM?\nAnswer: 3:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 19 - -1325. Let u be (-2)\/9 + t\/4104. Is u less than or equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 2225443?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 5.29 + -5. Let f = b + -0.432. Round f to two dps.\nAnswer: -0.14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(t) = -t**2 + 9*t + 6. Determine x(10).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2855*r**3 + 658*r**3 - 848*r**3 + 1597*r**3.\nAnswer: 4262*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-20)\/(-6) + 6\/9. Suppose -4*y = y. Suppose -3*k + 59 + s = y. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -4418*b - 4413*b - 2*b**3 - 598*b**2 + 8833*b in the form g*b**2 + n + s*b**3 + v*b and give g.\nAnswer: -598","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Determine a, given that a**3 + 24*a**2 - 25*a = 0.\nAnswer: -25, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*p**3 - 400*p**2 - 14935*p + 122430 = 0. What is p?\nAnswer: -33, 7, 106","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 268?  (a) 0.34  (b) 1  (c) -3  (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {p: 2, o: 11, g: 7}. What is prob of picking 2 o?\nAnswer: 11\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let p(x) be the first derivative of 0*x**3 + 0*x + 0*x**5 - 3 + 0*x**4 - 3\/2*x**2 + 1\/3*x**6. What is the second derivative of p(i) wrt i?\nAnswer: 40*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*w - 8 = -2*l + 118, 2*w + 280 = 5*l. Let v = -32514 + 32949. What is the highest common divisor of v and l?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose n = 2*g + 3 - 7, 3*n + 4 = 4*g. Let p = g - 1. Let q(k) = 0*k**3 + k**p + k + 3*k**2 - 8*k**2 + 0*k**2 - 4. What is q(5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(t) = t + 20. Let w be x(-21). Let a be -5*(w - (1 - 1) - 0). Suppose -a*g = -g + 1604000. What is g rounded to the nearest 10000?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(l) = -4231*l - 287755. Give z(-68).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6 = 4*g - 30. Let h = -5 + g. Let d be 0\/(2*(h - 0)). What is d rounded to one decimal place?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2.7685245 months to years.\nAnswer: 0.230710375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y(v) be the third derivative of v**4\/4 - 13*v**3\/3 - 2*v**2. Let h be y(6). Suppose -4*n - 3 = 2*a - n, 5*a - h = -4*n. Does 6 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 5, 2824, 276, 3 in decreasing order.\nAnswer: 2824, 276, 5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 32.6 + -32.461. Let q = -0.361 - o. Which is the smallest value?  (a) q  (b) 6\/7  (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/32 of a gram in micrograms?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*w - 5*g, 3*w - 2*g - 9 + 32 = 0. Let y(p) = 4*p**2 - 9*p + 3. Let t(a) = 2*a**2 - 5*a + 2. Give w*t(x) + 3*y(x).\nAnswer: 2*x**2 - 2*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Factor v**3\/6 - 4948*v**2\/3 + 24512365*v\/6 - 24453025.\nAnswer: (v - 4945)**2*(v - 6)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 14*m + 12*m + 11*m - 39*m.\nAnswer: -2*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let q(g) = g**3 - 4*g**2 - 492*g + 2141. Determine q(22).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let r(a) = -a**3 - 4*a**2 + 2*a. Suppose -10 = m - 2*p - 13, 0 = -3*p - 6. Let u(t) = -t**3 + t**2. Determine m*r(x) - 2*u(x).\nAnswer: 3*x**3 + 2*x**2 - 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 91 - 139. Is -47 at most c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2160855\/13941*(6\/(-10))\/(-3).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 2  (b) -35  (c) -1\/3  (d) -0.09  (e) -131  (f) -1\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -31 and -0.02299?\nAnswer: 0.71269","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Put -105, -0.2, 0.02 in descending order.\nAnswer: 0.02, -0.2, -105","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (429\/(-1001))\/((-2)\/(-14)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v(r) = 4*r**2 - 18*r - 1. Let s be v(5). Solve 4*o - s = 3 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 2599 - -a602?\nAnswer: 120a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 3 - 54c?\nAnswer: -549","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7 = -5*s + 3. Let v(z) = -6*z - 3 + 8 - z**3 + 2*z - 5*z**s. Suppose -3*x = -0*x + 12. Give v(x).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 3\/(-15) + (-987)\/(-35). Suppose 37*m - 846 = n*m. What is the remainder when m is divided by 19?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(v) be the third derivative of v**7\/70 - 11*v**5\/30 + v**2. Find the third derivative of f(d) wrt d.\nAnswer: 72*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -3\/4  (b) 4\/7  (c) 6\/5  (d) 1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is -29732490 divided by -765?\nAnswer: 38866","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*f - 26 = -3*d, 5*d = 4*f - 3*f + 5. Determine c so that -4*c + 2 + 8*c**2 - 4*c**2 - d*c**2 = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(z) be the second derivative of -z**6\/180 - z**4\/24 + z**3\/2 + z. Let d(o) be the second derivative of t(o). Differentiate d(k) with respect to k.\nAnswer: -4*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put together 188.1 and -0.11347.\nAnswer: 187.98653","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -72*s - 3602 = 85*s - 148 for s.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 5201 (base 6) in base 13?\nAnswer: 6a9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is (3 - 1) + (-90)\/135?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -18*1*17556\/140448?\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (0 - 2 + 4)*(-1 - 1 + 3)*(12*w - 9*w - 9*w + (2*w - 4*w - w)*(2 + 0 - 6))*(-1 - 1 + 3) to o*w + q and give o.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (8 + -9)*11\/(33\/18). What is the closest to 0.1 in 2, 0.37, a, 4?\nAnswer: 0.37","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put together -1789237185 and -5.61.\nAnswer: -1789237190.61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -43*j - 60*j - 45*j. Let f be ((-644)\/216 - -3)*-31. Let w = -6239\/10962 - f. Is w > j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -15\/1430752 and 5\/3398036.\nAnswer: 27184288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 10*r + 2*r - 60. Solve m - 3*q = 5*m + 15, 20 = -r*m - 5*q for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) -0.4  (b) -20  (c) 5  (d) -2  (e) -3\/44\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let f(k) = 8*k - 85. Let r be f(6). List the prime factors of (r\/(-5) + -5)*(-585)\/(-6).\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 4 + 125?\nAnswer: 129","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -27908834568*n**2 + 55817669144*n**2 - 27908834574*n**2.\nAnswer: 2*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 5045 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let a(w) = -2*w - 4. Let g(u) be the second derivative of -u**3\/6 - u**2\/2 + 5*u. Let t(k) = -a(k) + g(k). Let q be t(0). Sort 2, q, -4.\nAnswer: -4, 2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(d) = 2*d + 1. Let c be (4\/5)\/((-15)\/(-75)). Suppose 5*f - 39 = 3*h + 18, c*f + 16 = -2*h. Let a(i) = 10*i + 4. Determine h*t(j) + 3*a(j).\nAnswer: 2*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6*u - 4*u = -8, -u - 4 = 2*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let g(y) = 3*y**3 - 2*y**2 + 5*y + 16. Let t be g(-3). What is the tens digit of t\/(5\/(-2) - -2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 19 - (11 - (2 + (-3 - -9)))?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 229, 247, 291, 373, 505?\nAnswer: 699","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 6778 + -6749. Calculate the greatest common factor of 2349 and b.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -79032 + 79031.830081. Let w = 0.3 - 0.47. Let b = w - c. Round b to 5 decimal places.\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -4068 bigger than 1\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Do -115 and -115 have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: -1a (base 13) to base 3\nAnswer: -212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 1395 - 1397. Let i(j) = 4*j**3 - j**2 - 3. Calculate i(f).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(s) be the first derivative of s**2\/2 - 3. Let x be q(0). Is 1 <= x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 683 + -263a5?\nAnswer: -25822","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -19, -2, 4, -1549, 9?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, 4, 112, -17 in increasing order.\nAnswer: -17, 2, 4, 112","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: 5 (base 15) to base 16\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-3060)\/(-8) + 6\/4. Let b = -52 - -60. Suppose b*y - 432 = -y. What is the highest common factor of y and z?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: (8\/(-10))\/(((-85008)\/(-140))\/46)\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 2\/4*4\/(5 + -7). Let z = -3\/14 - 19\/42. What is the nearest to r in 1\/2, z, -2?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 336 and 532.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 65 - 48. Suppose j - 2*d - 25 = 0, o*j - 5*d + 200 = 22*j. Calculate the remainder when 173 is divided by j.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -j + 2*l = -10, -5*l + 17 = 5*j - 18. Solve -v + j = 3*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 284 and 2485.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 4225973.794263 - 4220949.792. Let j = -5024 + d. Round j to 4 decimal places.\nAnswer: 0.0023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 6436575 and 9?\nAnswer: 6436575","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 150 and 900.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -9\/2?  (a) -57  (b) -1  (c) -5  (d) -22\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let b(v) = -18*v**3 - 2314*v**2 + 1233. Let a(f) = -22*f**3 - 2314*f**2 + 1231. Let l(o) = 4*a(o) - 5*b(o). Differentiate l(r) wrt r.\nAnswer: 6*r**2 + 4628*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine u so that -3*u**2\/2 + 197823*u\/2 = 0.\nAnswer: 0, 65941","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 188233.311 rounded to zero decimal places?\nAnswer: 188233","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -4, 4, -0.4, -1\/10, 59, -0.06?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 46259\/9 + -5145. What is the common denominator of ((-19)\/4)\/(0 - 12\/8) and t?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 2\/7  (b) 3  (c) 0.4  (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((h**(3\/4)\/((h**(-6)*h)\/h))\/(h**(4\/3)\/h)**(-30))**(1\/28) assuming h is positive.\nAnswer: h**(67\/112)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let m(r) be the third derivative of -1\/8*r**4 + 0 + 0*r + 0*r**3 + r**2. Let c(g) = -63 + 63 - 2*g. Calculate c(m(v)).\nAnswer: 6*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -15 + 21. Let r(a) = 9*a - 7. Let y(k) = 4*k - 4. Let b = 84 - 79. Let t(d) = b*y(d) - 2*r(d). Give t(j).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -246205.2 rounded to the nearest one hundred?\nAnswer: -246200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let v(q) = -q**2 - 2. Let o(w) = -w**3 + 4*w**2 - 3*w. Let d = -5 + 8. Let x be o(d). Give v(x).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -818*j**2 - 41207*j**3 + 818*j**2.\nAnswer: -41207*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let h(w) = -14*w - 3. Let r(v) = -68*v - 16. Calculate -24*h(m) + 5*r(m).\nAnswer: -4*m - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Put -111, 3, 272, -1 in decreasing order.\nAnswer: 272, 3, -1, -111","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1\/8*b**5 + 3\/8*b - 1\/4*b**3 + 1\/2*b**4 - 1\/2*b**2 + 0 = 0 for b.\nAnswer: -1, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(l) = -l**2 - 15*l + 340. Calculate f(-40).\nAnswer: -660","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let n be -1 - (-3 + ((-39)\/21 - -3)). Let x = -1684 - -1697. Which is the third biggest value?  (a) n  (b) 2  (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -4a8481 (base 15) to base 13.\nAnswer: -980998","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 86095524 to the power of 1\/9, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:35 PM and 8:58 PM?\nAnswer: 443","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let q(b) be the first derivative of 173*b**3\/3 + 102. Let r(p) = -p. Give r(q(u)).\nAnswer: -173*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 36 minutes after 8:22 AM?\nAnswer: 8:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 150*n + 6183 - 2062 - 2061 - 2060.\nAnswer: 150*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(176) - (sqrt(176) + 1)*4)**2 + ((-1 + sqrt(275))**2 - ((-1 + sqrt(11))**2 + sqrt(11))*-4) + -4.\nAnswer: 82*sqrt(11) + 1920","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from rxffxffavfrrafq. What is prob of sequence xxv?\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*x - 3 = -101. Find the third derivative of -15 - 49*s**2 - x + 29 + 48*s**4 wrt s.\nAnswer: 1152*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.1?  (a) 0  (b) 0.9  (c) -373  (d) -357\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -18 and 3?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -61 - -65. Solve -k*q - 8 + 28 = 0 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 77\/154 + -2*(-4650)\/3008. Let c = v + -66\/47. Find the common denominator of 55\/12 and c.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -49 = -2*x - 43. What is the greatest common factor of 27 and x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5*(0 + -2 + sqrt(1088)))**2 + -4 - (5 + -1 + sqrt(1088) + 4*(sqrt(1088) + -1*sqrt(1088) + sqrt(1088)))**2.\nAnswer: -1120*sqrt(17) + 80","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let u(n) = 12*n. Let g(z) = 477*z. Give g(u(p)).\nAnswer: 5724*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 146, 292, 438, 584, 730?\n\"Answer: 146*h","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 8172 divided by -9.\nAnswer: -908","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -18973428029.7014101 - -3189.7014101. Let l = -18973424687.00000079 - r. Let b = l - 153. What is b rounded to 7 decimal places?\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(x) = -x**2 - 18*x + 28. Give j(-20).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.12 * 1527328.\nAnswer: 183279.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 1282804 a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -18 + -4 + -4 - -15.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*f - 4 = -j + 1, 0 = -3*f. Suppose -5*w = 7 + 3. Suppose -h = 5 - 0. Sort h, j, w in descending order.\nAnswer: j, w, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3683533 less than or equal to 3683533?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 19534540, 19534534, 19534526, 19534516?\nAnswer: 19534504","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -3.7 + 3.3. Let y = -586 + 586.2. Let r = -4\/15 + -2\/5. What is the nearest to r in c, y, 0.8?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -195*d + 461*d**2 - 1277*d**2 + 195*d + 410*d**2 + 413*d**2.\nAnswer: 7*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -1349 + 1454. What is the least common multiple of b and 7?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 30292 - -3?\nAnswer: 30295","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 77 a factor of 1485?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 6828819321 to the nearest integer?\nAnswer: 1897","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((b**37*b*b)\/((b*b**(1\/36))\/b))**9)**(-3\/8) assuming b is positive.\nAnswer: b**(-4209\/32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-4*t + 0*t + 3*t)*(-4*t + 2*t + 0*t) - t**2 + 0 + 0 - 5*t**2 + 3 - 1 + t**2)*(0 - 2 + 0).\nAnswer: 6*t**2 - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let i(y) = y**3 - 10*y**2 - 11*y + 15. Give i(11).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 313980?\nAnswer: 2, 3, 5, 5233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 6*(3 + (((2*sqrt(168))\/sqrt(12) + sqrt(14))\/(sqrt(72) - (sqrt(72) + -1*sqrt(72)))*3)**2) + -1.\nAnswer: 223\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 1111010111 (base 2) in base 11?\nAnswer: 814","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand 7*b**2 + 9*b - b**3 - 2 - 9*b + (-11*b**2 + 29*b**2 + 18*b**2)*(-12 + 12 - 4*b).\nAnswer: -145*b**3 + 7*b**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -17 - -17. Suppose j*r - 4*t = r - 56, -2*r - 2*t + 130 = 0. Let f(q) = 17*q**2 + q + 1. Let m be f(-1). What is the highest common factor of r and m?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*m + 11 + 2 = 3*c, 5*c - 13 = m. Let q be -1 - (-4 + (4 - c)). Solve -q*w = w + 9 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:02 PM and 3:06 PM?\nAnswer: 184","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1725778.\nAnswer: 2, 167, 5167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let z(o) be the first derivative of o**3\/3 - 5*o**2\/2 + 20*o + 21. List the prime factors of z(12).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1.2987 plus -4.97?\nAnswer: -6.2687","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 96396 to the power of 1\/5, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0994186355 to 2 dps.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let x(p) = 4*p. Let b be (-7 - 2)*17\/(-3). Let g(s) = s**2. Let j(w) = 8*w**2. Let k(i) = b*g(i) - 6*j(i). Determine k(x(r)).\nAnswer: 48*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-2*u**2 + 3*u**2 - 3*u**2)*(-13*u - 13*u + 37*u) to the form p*u**3 + d + i*u + w*u**2 and give p.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Convert 8731.391kg to micrograms.\nAnswer: 8731391000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 18\/(-42)*112\/28.\nAnswer: -12\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -q - 14 = -5*k - 0*k, -k = -3*q. Suppose 2*z - 60 = -2*z. Suppose -11*j + 6*j + z = 0. Solve -10 = -5*o - j*d, 2*d + q = 4*o - 7 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 47175 to the nearest integer?\nAnswer: 217","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let l(n) = 4*n**3 + 2*n**2 - 2. Let w(t) = -2 + 889*t**2 - t**3 - 887*t**2 + 4*t**3. Determine 5*l(v) - 6*w(v).\nAnswer: 2*v**3 - 2*v**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let a(c) = -c**2 - 6*c + 2. Give a(-5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 1239628, 1239630, 1239638, 1239652, 1239672?\n\"Answer: 3*l**2 - 7*l + 1239632","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -817 + -276?\nAnswer: -1204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-8)\/(-14))\/(92\/644)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 972 and 1098?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*v = 5*w + 9, -19 + 22 = 3*v for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-2 + (-64)\/(-30))*(1 + (-182)\/252).\nAnswer: 1\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -111 + -4400300041?\nAnswer: -4400300202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (1 - 9\/12)*-26. Does -0.1 = x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 18805*v**5 + 5*v**3 + 3413*v**2 - 101?\nAnswer: 1128300*v**2 + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 32 and 34?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*g + 5 = -3*g, -5 = 5*t - 4*g. Suppose -4*c + 1087 = t*m - 1536, -m = c - 875. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*o = -126 + 246. Let a(t) = -4*t + 3. Let q be a(2). Let s = q + o. What is the smallest common multiple of s and 3?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(b) = b**3 + 7*b**2 + 7*b - 2. Suppose 3*l = 3*c + 21, 2*c - l + 4 = -4*l. What is m(c)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-2)\/7)\/((-27625)\/455 + 62).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -2596 + 2595.898. Is 2\/7 bigger than k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -279 + 431. What are the prime factors of g?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (s - 3*s + 7*s)*(-4*s + s - s + 2 + 2*s - 2 + (3 - 3 - 1)*(-4*s + 3*s + 0*s)).\nAnswer: -5*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify p**(2\/17)*p\/(p**3*p)*(p\/(p\/p**(-2\/9)))\/(p*p**(1\/11)) assuming p is positive.\nAnswer: p**(-7061\/1683)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (36\/15)\/((-2)\/60). What is the common denominator of 1514\/m + (-12)\/54 and (-194)\/56 + 6\/(-24)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -18*i - 14108 = -107780. What is the smallest common multiple of i and 11?\nAnswer: 57244","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 139600, 278517, 417434, 556351?\nAnswer: 695268","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 1462 and 430?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 660 minutes after 11:23 PM?\nAnswer: 10:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 19509, 38938, 58261, 77442, 96445, 115234, 133773, 152026?\nAnswer: 169957","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*l + 0*l + a = 6, 1 = 3*l - 2*a. Let o be 14*6\/(-12) + l*3. Which is greater: o or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*c - 11 = -s, -3*c = 2*s - 5*c + 14. Put -2, 5, s, -3 in ascending order.\nAnswer: s, -3, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -184*b - 5*a = -186*b + 15, 0 = 5*a + 15 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -4 + 9. Suppose 6*x = -18*x + 3960. Suppose -4*a - b + x = -2*o, 0 = 2*o - 8. Calculate the highest common factor of 6 and a.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -65 + 65 + i.\nAnswer: i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, 0, -4, 50 in decreasing order.\nAnswer: 50, 3, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 166659 is divided by 4766?\nAnswer: 4615","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from xjoxxxosojxjsjjjjss. What is prob of sequence js?\nAnswer: 14\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-3)\/1*-1*95\/15. What is the greatest common divisor of 209 and r?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(f) = -f**2 - 5*f + 1. Let h be d(-6). What is the third biggest value in -4, 1, h, -0.4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -6 + 314*j**2 + 9 - 156*j**2 - 3.\nAnswer: 158*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 0.2  (b) 6\/5  (c) -0.7  (d) 20  (e) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Express 20 - 5*b**2 + 3*b**2 + b**2 + 3*b**2 in the form h*b**2 + p + j*b and give p.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Work out -57 + -0.604.\nAnswer: -57.604","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (2\/(-4))\/((-6)\/(18\/3)).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 336421901 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is (-48)\/(-9)*(-44)\/((-10780)\/147)?\nAnswer: 16\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (7 - (14 + -1)) + 0.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 27 or 16\/11?\nAnswer: 27","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-1*15\/(-9))\/(54\/(-288)*8).\nAnswer: -10\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -m - 0 - 4. Let h(l) = 7*l + 6. Let u be h(m). Is 11 a factor of (-7)\/(21\/u)*9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-2 - 7\/(-2)) + (-5)\/(-10). Let -24*b - 1 - 3*b**3 + 27*b - 2 + 3*b**g = 0. What is b?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -2, 5, -6, -27180, 3, 0 in descending order.\nAnswer: 5, 3, 0, -2, -6, -27180","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -65*v - 897 + 962 = 0 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 99264297?\nAnswer: 3, 11, 23, 130783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 22 - 23.9. Let h = -2 - z. Let o = 5531 - 5534. What is the second smallest value in 2\/3, o, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"}
{"text":"Question: Differentiate 2*j*m**3*o**2 + 72*j*m**3*z - j*m**3 + 68*j*m**2*o**2*z - 5*m**2*o**2 - 102*o**2 wrt z.\nAnswer: 72*j*m**3 + 68*j*m**2*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose k = 5*m + 47, 0 = -k + 3*m - 0 + 37. Solve -29 = -3*x + 5*f, -3*x + x = -4*f - k for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -654.9907 to zero dps.\nAnswer: -655","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 5\/(-55)*(270\/15)\/(-18)?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 8930150 and 25?\nAnswer: 8930150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is -11000012 (base 3) in base 8?\nAnswer: -5551","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 6*-1*(((sqrt(448) - 3*sqrt(448)*-4)**2 - sqrt(448))*-2 + -1*6*2*sqrt(567)).\nAnswer: 552*sqrt(7) + 908544","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many decades are there in 4598.586 months?\nAnswer: 38.32155","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a(y) = -190*y + 4649. Calculate the least common multiple of a(24) and 890.\nAnswer: 890","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:13 PM and 1:49 PM?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: (12\/4)\/9*6\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-5)\/3 + 2*5\/10.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -6990.38 * -5.\nAnswer: 34951.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose h - 36 = -5*w + w, 4*h - 2*w = 162. Let v(t) = 2*t + 3*t + 3*t. Let m be v(1). What is the greatest common factor of m and h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -3\/173657 or -39?\nAnswer: -39","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -c + 5*c + 24. Let j be ((-2)\/5)\/(c\/1050). Let r be 30 - -2*3\/(-3). What is the greatest common factor of r and j?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -36*c**2 + 111*c**2 - 37*c**2 - 37*c**2.\nAnswer: c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5 = -d - 2*d + 4*r, -4*r - 8 = -4*d. Let h(m) = -m**3 + 3*m**2 - 3*m. Give h(d).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 133 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of ((-3)\/6 + 0)\/(1\/(-1032))?\nAnswer: 2, 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose m = 2*k - 4*k + 866, 2*m - 4*k - 1772 = 0. Suppose -10*n + m = -8*n. What is n rounded to the nearest one hundred?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1342.406107 rounded to one dp?\nAnswer: -1342.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*x**3 - x**3 + 4*x**3)*(0*x - 2*x - x) - 2492 + 2492 - x**3 + 22*x**4 - x**4 + 0 + 0 + (1 - x**3 - 1)*(2*x - 3 + 3) + 0*x**4 + x**4 - 3*x**4.\nAnswer: 14*x**4 - x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*v = 2*t + 8, t + 14 = 5*v - t. Suppose 5*s + 3*u - 101 = -17, -v*u = 5*s - 81. What are the prime factors of s?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 0  (b) -1  (c) -1\/3  (d) 0.04  (e) -18  (f) -9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 22360787?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2110 is divided by 316?\nAnswer: 214","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*l**3 + 5288*l**2 - 260736*l + 3156480.\nAnswer: 4*(l - 24)**2*(l + 1370)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -13677 divided by -357.\nAnswer: 4559\/119","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Are 0 and 168\/145751 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 39\/15 + 161214\/1385.\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*r + 4*m = -8, 23*r - 27*r - 5*m = 12 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*q + 10*q - 30. Let i = 5 - -1. Let f be (-4)\/i - (-10)\/q. Solve -u - f - 1 = 0 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -7.51 + 7.5. Which is the closest to 0?  (a) 0.3  (b) 0.1  (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000916712 rounded to six decimal places?\nAnswer: 0.000917","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.517?  (a) -227  (b) 4  (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:33 PM and 9:38 AM?\nAnswer: 665","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -3102 + -10?\nAnswer: -3112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 15\/4, -5, -18?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from dxdi. What is prob of picking 1 i and 2 d?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {b: 1, l: 4, p: 1, o: 4, k: 1}. What is prob of sequence lbo?\nAnswer: 8\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 30 + -121\/4. Sort y, 1, -3, -2.\nAnswer: -3, -2, y, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3 = h - t, -1846 = -5*h - 2*t - 1868 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let 3*k**2 + 17571*k - 1334700 = 0. What is k?\nAnswer: -5932, 75","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*y = -q - 9, 0 = 5*y - 3*q + 3 - 22. Suppose -3*w + 25 = y*j - 32, -74 = -4*w - 2*j. What is the remainder when 63 is divided by w?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {n: 7, d: 1, u: 3, f: 6}. Give prob of sequence udn.\nAnswer: 7\/1360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 17 - (12\/(-3) + 2). Suppose -s*r + 21*r + 2 = 0. Let l be r*(-9 + 2\/2). Solve -13 - 3 = -4*c + 4*h, 0 = -5*c + h + l for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.5, 1263.6, 0.1 in descending order.\nAnswer: 1263.6, 0.1, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*o - o - 7168063*o**2 - o.\nAnswer: -7168063*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 106625?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {l: 1, d: 2, o: 2, q: 4, n: 1}. What is prob of picking 1 o and 1 n?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -10*m - 4 = -13*m - 8*g, -2*g + 24 = -5*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -2419, -4848, -7275, -9700, -12123?\nAnswer: -14544","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 26561 is divided by 57.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let d(a) = -a**3 - 23*a**2 + 22*a - 11. Give d(-24).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -49 - -56. Suppose -k*i = r - 3*i - 1219, 0 = 5*r - 5*i - 6120. What is the hundreds digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 4\/5  (b) 0.5  (c) -192  (d) 3\/5  (e) -0.3  (f) -3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -1398 - -30319?\nAnswer: 28921","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let t(z) = -314*z. Let v(n) = 3*n + 9. Give v(t(j)).\nAnswer: -942*j + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence qk when two letters picked without replacement from qbckq?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let h(m) = 2179*m - 2144. Give h(1).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let t(x) = -9 - 5*x + 0*x**3 + 7*x**2 + 7*x - x**3. Let o be t(7). Solve o*u - 2*r - 10 = 0, -2*u + 6*r = r - 4 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*b**3 - 38328*b**2 - 91853040*b - 183552800 = 0.\nAnswer: -4790, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 693 minutes before 5:33 AM?\nAnswer: 6:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (3 + -1)*-2 - -1. Sort 4, z, 5 in decreasing order.\nAnswer: 5, 4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 159 divide 915524?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 3*d - 32*d**2 - 51*d**2 - 50*d**2 + 124*d**2 - 2*d**3 - 9 to x*d**3 + n*d**2 + c*d + l and give c.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1279020206?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3*(sqrt(15) + 6*sqrt(45)\/sqrt(3) + sqrt(15))\/(sqrt(3) - (sqrt(18) - sqrt(18)*1)\/sqrt(6))*-5.\nAnswer: -120*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -87*l + 91*l - m - 53, 43 = 3*l - 4*m. Let b be ((-22)\/(-6))\/((-1)\/(-12)). Let d = b - l. What is the remainder when 90 is divided by d?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -543 - -212?\nAnswer: -331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-6 - 348\/(-42)) + (-4)\/14.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -w = 4*q + 2, -4*w + 2*q + 18 = 5*q for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -29*o + 27*o = -100. Let i = 77 + o. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 126582417?\nAnswer: 3, 13, 1081901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Are -450 and -497 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: -3360 divided by 470\nAnswer: -336\/47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 21017 to the nearest integer?\nAnswer: 145","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -y = -4*l - 15, -3*y + 8 = -5*l - 9. Is 10 a factor of (29 - 8\/l) + -1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: -206765 divided by 15\nAnswer: -41353\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -5.35 - 0.25. Let r = -5.2 - b. Put 5, r, -1\/4 in descending order.\nAnswer: 5, r, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -7*d*g*t**2*u + 2*d*t**2*u - 2*d*t + 19516*g*t**2 - g*t*u - 265*g*t - 3*g*u + 2*u wrt t?\nAnswer: -14*d*g*u + 4*d*u + 39032*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let u(i) = -i**3 + 3*i**2 + 2*i + 5. Suppose -9*m + 6 = -30. Determine u(m).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1614?\nAnswer: 2, 3, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let z(q) be the second derivative of 1\/10*q**4 + 26*q + 0 + 1\/50*q**5 + 0*q**2 + 2\/15*q**3. Suppose z(v) = 0. Calculate v.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 21*s**2 + 686565*s + 2059506 = 0. Calculate s.\nAnswer: -228834\/7, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -3478 divided by -968?\nAnswer: 1739\/484","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3*(sqrt(76)*-1*1 + 6*sqrt(76)*1))\/((3*sqrt(2916) + sqrt(2916))\/sqrt(9)*3).\nAnswer: 5*sqrt(19)\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1210 is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in fourty-five halves of a litre?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: 24 - (9 - 5 - -6 - 16)\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b(i) = -i**3 - 5*i**2 - 3*i - 3. Let o be b(-6). What is the units digit of 2\/(-5) + o\/15?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(i) = -8*i - 15. Let n(g) = 188*g + 21. Let c(p) = 118*p + 14. Let m(y) = -8*c(y) + 5*n(y). Calculate 9*m(d) - 4*z(d).\nAnswer: -4*d - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -1 - 1. Let i = 8 + x. Let z(j) = 5*j - 9. Is z(i) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {m: 3, o: 5}. Give prob of sequence mm.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -11292678, -22585357, -33878036, -45170715, -56463394, -67756073?\n\"Answer: -11292679*f + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -15426, -28417, -41422, -54447, -67498, -80581, -93702, -106867?\n\"Answer: -d**3 - d**2 - 12981*d - 2443","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 k and 1 r when two letters picked without replacement from rfrkkkrdordra?\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is o in -o**3\/2 + 11*o**2 - 59*o\/2 + 19 = 0?\nAnswer: 1, 2, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let n(k) = 2*k - 24. Let u be n(14). What is the units digit of (-1)\/(2\/u) - -210?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2 + sqrt(15)\/(sqrt(3) + sqrt(108)\/sqrt(4) + sqrt(3))*1 + 1)**2*-1.\nAnswer: -46\/5 - 6*sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let s(h) = 2*h**2 + 22*h + 27. Let z be s(-14). Let u = z - 97. Factor 0 + 0*r + 4\/5*r**2 - 34\/5*r**3 + u*r**4.\nAnswer: 2*r**2*(5*r - 1)*(7*r - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 12\/174 + (14 - (-23544)\/(-1624)).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1\/4?  (a) 2  (b) -5  (c) -69\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*d**4 + 5965*d**3 - 12005*d**2 - 65665*d + 71700 = 0. What is d?\nAnswer: -1195, -3, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1*(6 + 166 - (0 - -3)).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 42\/(-7) + 14 + (-3 - 1).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -133*n - 65*n - 24 = 174 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0000007231 rounded to seven decimal places?\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 367, 717, 1065, 1411?\n\"Answer: -l**2 + 353*l + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: 7 + (6 - 22) + -6 + -17 + 36\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 17\/10 + 7\/(70\/8)?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 406 minutes after 1:33 PM?\nAnswer: 8:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 1088424 and 0.2.\nAnswer: 217684.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Convert 327985.5 kilometers to millimeters.\nAnswer: 327985500000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(400)\/sqrt(128) - sqrt(50))\/sqrt(10))**2.\nAnswer: 45\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 18 a factor of 96858?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 r and 3 z when four letters picked without replacement from rvzmmrzvzrzzrrnzzrr.\nAnswer: 245\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1542588186?\nAnswer: 2, 3, 2179, 117989","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let n(s) = -21*s**3 - 2*s**2 - s - 28. Let v(q) = 8*q**3. What is n(z) + 2*v(z)?\nAnswer: -5*z**3 - 2*z**2 - z - 28","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1295444 is divided by 11?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 + 1 + 1 + (-1 - 2 + 5)*(1 + 0 + 1) + 2 + 4 - 4)*((13 + 6*i - 13)*(-35*i - 22*i - 6*i) - 3*i**2 - 2*i**2 + 4*i**2).\nAnswer: -3032*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Round 4237700 to the nearest 100000.\nAnswer: 4200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 36 and 132.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*m = -4*m - 64. Let q(k) = -k**3 - 17*k**2 - 18*k - 24. Calculate the remainder when q(m) is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 24 + -20. Suppose 3*i - r*i = -19. Suppose -5*j + 654 - i = 0. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(h) = h**2 + 12*h + 15. Let w be a(-11). Sort 0, -6, w in ascending order.\nAnswer: -6, 0, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0 in -2\/15, 0.05, -39\/2, 2?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*i - 14 = -43*h + 40*h, -6*h - 3*i + 15 = 0. Solve 0 = -45*a + 47*a - 3*n + 17, 0 = -h*a + 5*n - 27 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(v) = 43*v + 467. Calculate w(-11).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -15224*o = -3*n - 15228*o + 64, 0 = -2*n + 4*o - 64 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: 3 + -5 - (2 + -5)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 7483564 a multiple of 44?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0.11 or -0.05?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 0.1 - -1.9. Let p = 1.99 - o. Let q = p + -0.09. Which is the closest to q?  (a) -2\/9  (b) 0.4  (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 47451291067 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let k(b) = 3*b**2 - 24*b + 2. Let r be k(0). Factor 4*f - 8 - 1\/2*f**r.\nAnswer: -(f - 4)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*t + 8. Solve 3*o + t*y = -3*y + 37, 3*y = 4*o - 1 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4513938?\nAnswer: 2, 3, 11, 13, 5261","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 5*b*c**2 - 5*b*c - 3*b + 31*c**2 - c wrt c.\nAnswer: 10*b + 62","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -15\/473 and 34\/91031.\nAnswer: 1001341","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*l + 1687500 = 2*l. Suppose 0 = -12*x + 3*x + l. What is x rounded to the nearest ten thousand?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: (8\/1 + -9)*-1\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 53\/1467009 and 119\/5244?\nAnswer: 5868036","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-4)\/(-2 - 0)*1. Suppose -3*u - 201577 + 981572 = b, 2*u - z*b = 520010. What is u rounded to the nearest one hundred thousand?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(q) be the third derivative of q**5\/60 - q**4\/3 + q**3\/3 + 2*q**2. What is the least common multiple of 8 and v(10)?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.1?  (a) 677  (b) 5  (c) 4\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -39\/1670 and 59\/1336.\nAnswer: 6680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 7719, 15357, 22835, 30075, 36999?\nAnswer: 43529","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 56561 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -351311179 or -351311177?\nAnswer: -351311179","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 85, 32, -19, -68?\n\"Answer: h**2 - 56*h + 140","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q(k) = -4546*k**2 - 6*k + 1150. Let a(i) = -4531*i**2 - 8*i + 1151. Let u(v) = -2*a(v) + 3*q(v). What is the second derivative of u(l) wrt l?\nAnswer: -9152","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(u) = -2*u. Let i(q) = -55*q**2 + 3*q. Determine z(i(y)).\nAnswer: 110*y**2 - 6*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -116 = -248*x + 245*x - 2*u, -2*x - 2*u = -80. Let i be 29 + 3 + -1 + -1. What is the remainder when x is divided by (30 - 0)*i\/50?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(j) = j**3 - 5*j**2 - j + 4. Let r be m(5). Suppose -14*w + 6*w - 3216 = 0. Let c = w - -3219\/8. What is the closest to r in 1, c, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-1)\/3 + 4\/3. Let y(u) = -5*u**3 + 2*u**2 - u. Let z be y(q). Let t be -2 + 1 + (-1 - z). Solve -i = t*i - 15 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(r) = 362531104*r**3 - 130070*r**2 + 325175*r. Let h(v) = -39021*v**3 + 14*v**2 - 35*v. Determine -65035*h(g) - 7*m(g).\nAnswer: 13007*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*h - 277 = -3*z - 282, -5*h + 7 = -2*z for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 69671246 to the power of 1\/6, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5*(2 + sqrt(108) + -1) + (sqrt(3) + (1*sqrt(12))**2 - 4*sqrt(300)).\nAnswer: -69*sqrt(3) + 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in 15\/4 of a day?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 120 - 115. Solve 4*r + 2*j - 11 = j, 0 = t*r - j - 7 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 72, 354, 834, 1506, 2364, 3402, 4614?\n\"Answer: -o**3 + 105*o**2 - 26*o - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h(z) be the third derivative of -791*z**4\/8 - 1429*z**3\/6 - 1294*z**2. What is the first derivative of h(m) wrt m?\nAnswer: -2373","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {v: 16, y: 4}. Give prob of picking 3 v.\nAnswer: 28\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 34.155093299 + 110?\nAnswer: 144.155093299","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 398.00000239 + -398. What is c rounded to 6 decimal places?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(r) = -25*r + 11. Let z(w) = 45*w - 13*w - 2 - 27*w. Calculate -4*y(n) - 22*z(n).\nAnswer: -10*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 2\/967 + 1928\/2901. Sort -0.5, -25, k in descending order.\nAnswer: k, -0.5, -25","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:53 AM and 11:48 PM?\nAnswer: 715","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let t(p) = 2*p. Let r(q) = 5374*q**2. Give r(t(k)).\nAnswer: 21496*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -55 + 15 = 4*j - 4*k, 0 = j - 4*k + 22. Is (-90)\/(-4)*(-8)\/j a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: 254 (base 16) to base 2\nAnswer: 1001010100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -143.3 times -2?\nAnswer: 286.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let w(t) be the second derivative of t**4\/12 + 401*t - 1. Let a(o) = 333*o**2. What is w(a(c))?\nAnswer: 110889*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let h(o) be the second derivative of o**5\/20 - 2*o**4\/3 + 13*o**3\/6 - 5*o**2\/2 - 11*o. Let m be h(6). Solve -4*u + m = 5*s - 0*u, 8 = 2*u for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 82 divide 1066?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -6*i + 4*i + 4. Suppose -i*o = 4 - 8. Find the third derivative of p**2 - o*p**3 + 2*p**3 + 3*p**6 wrt p.\nAnswer: 360*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*t + 2*v + 46 = -2, 28 = t - 2*v. Suppose -22*k = -18*k - t. Let g(s) = -4*s - 1. Let d(w) = -2*w - 1. What is k*d(i) - 3*g(i)?\nAnswer: 2*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2\/7?  (a) 94  (b) -186  (c) 10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 356\/(-9790)*(4 + 146).\nAnswer: -60\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*j - 100 = 4*r - 6*r, -2*j - 80 = -2*r. Is 11 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -5 - (-7 - (1 + -2) - (1 - -7))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b(a) = 36*a + 4 + 47*a + 10*a + 4. Let d be b(4). What is d rounded to the nearest one hundred?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (1\/(-3))\/(4\/(-48)). Let k(c) = -2*c + 0 + 3 + 3 + c**2 - 3. What are the prime factors of k(t)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(u) = u**3 - 93*u**2 + 1896*u + 1629. Give l(62).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*i**2\/4 - 24459*i + 611239815\/4.\nAnswer: -3*(i - 5365)*(i + 37977)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -1 + 2. Let t = -1.2 - -1.5. Let a = -0.8 + t. What is the nearest to 1 in 0, r, a?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.1098287 years to decades.\nAnswer: 0.01098287","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z(m) = -m**3 - 3*m**2 - 6*m + 8. Suppose -50 + 8 = 7*p. What is the remainder when z(p) is divided by 31?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(y) be the second derivative of y - 1\/10*y**5 + 0*y**2 - 1\/6*y**3 + 0 - 1\/6*y**4. Is k(-2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 39 - -8. Let h be (-40)\/(-6)*(8 - t). Let v = 478 + h. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(k) = -162*k**3 - 195*k**2 + 10*k + 5. Let p(t) = 161*t**3 + 197*t**2 - 8*t - 4. Let m(j) = -5*p(j) - 4*q(j). What is the third derivative of m(r) wrt r?\nAnswer: -942","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:13 AM and 1:55 PM?\nAnswer: 702","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 161 - 77 - 84 - 3*g**2.\nAnswer: -3*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 0.5 - -3.5. Let u = -2.7 - -3. Let j = u + 0.2. What is the smallest value in j, f, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 279390 is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -17436 + 5892 - 2*d + 5781 + 5763.\nAnswer: -2*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -11021442 + -4?\nAnswer: -11021446","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 330 and 3531.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let b be -3 + 2 - (6 - -9 - 16). Find c such that 9*c**2 + 9\/4*c**4 + 12*c**3 - 3\/4*c**5 + 0 + b*c = 0.\nAnswer: -2, -1, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 5\/2*(-3)\/((-2700)\/(-48)). Let k = -0.02 - 0.38. Sort k, t, -5, 2\/5.\nAnswer: -5, k, t, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5*h**3 - 4*h + h - 6*h**3 + 15*h**3 + 0*h**3 + 4*h.\nAnswer: 14*h**3 + h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: -831072 divided by 207768\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -80*v - 86*v + 2962880 = 22*v. What are the prime factors of v?\nAnswer: 2, 5, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -594 + 1?\nAnswer: -593","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: -1210 (base 4) to base 11\nAnswer: -91","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 30\/20 - 21\/(-2). Let k = 72 + -62. Suppose 0 = -5*n - 0*d - d + 8, 2*d = 3*n - k. Solve i + 4 = n*q, 0*q = -3*i + 5*q - p for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 35 and 18193.\nAnswer: 90965","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*h + 99 - 183 = -114 for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((a**(-4\/5)\/a)\/a**(2\/65))**44 assuming a is positive.\nAnswer: a**(-5236\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -46, 397, -5, 5, -3, 2?\nAnswer: 397","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 42637654\/961 + -44368. Which is smaller: q or 1?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(v) = 68*v - 272. Let t be q(4). Factor -2\/17*k**2 + t*k + 0 - 2\/17*k**3.\nAnswer: -2*k**2*(k + 1)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -167 (base 8) to base 16.\nAnswer: -77","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 10 and 2780.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -396 - 350 = c - 14*u, -19*c + 6*u - u - 235 = 2*u for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -w - 2 = w, 4*w - 16 = 5*a. Let b be a\/18 - (-58)\/18. Suppose r + 4*c = -2*r + 145, 3*r + b*c = 150. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 528 minutes after 3:17 AM?\nAnswer: 12:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5 + sqrt(8) + 3 - (4*(sqrt(2) + -1 + sqrt(2)) - ((sqrt(50)*-4 + sqrt(2) + sqrt(2))**2 + sqrt(2))).\nAnswer: -5*sqrt(2) + 650","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2347 + 2347 - z.\nAnswer: -z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 595*t + 5290 - 22545 = 0 for t.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let h(o) = 15*o**2. Suppose 4*a - 2*l + 0 - 4 = 0, 2*l = -5*a + 14. Let i(p) = -187 - 185 + 372 - 8*p**a. Give h(i(j)).\nAnswer: 960*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is -13 + 5 + 14 + -4?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*f + 40, 21*f + 14 = 3*o + 22*f. Factor -4\/9*d**o + 8\/9*d + 4\/3.\nAnswer: -4*(d - 3)*(d + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: 18\/4 - (45\/20 + 48\/64)\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: 1.1 - 28.335\nAnswer: -27.235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 466 minutes before 1:46 PM?\nAnswer: 6:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 252752293 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2*w**3 - 2 + 3 + 4*w**3 to f*w**3 + o*w + u*w**2 + g and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let p(b) = -8*b**2 + 25*b - 83. Give p(3).\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 2.6 - -0.4. Let f be -6 + (12\/(-48) - (-34)\/8). Let h = 0.04 + 0.36. What is the nearest to f in h, q, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 9.74726569 rounded to one decimal place?\nAnswer: 9.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 128310, 256622, 384934, 513246, 641558, 769870?\nAnswer: 898182","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 4823 + -3312. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -2*h**2*o**2*t + 175*h**2*o**2 + 604*h*t - o**2*t + 8*o**2 with respect to t.\nAnswer: -2*h**2*o**2 + 604*h - o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 5*7\/(-140) + (-6 - (-120740)\/16). Calculate the greatest common factor of o and 232.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -28.22 - -28. Let z = 1.97 + -2.05. Let l = g + z. Which is the biggest value?  (a) -1  (b) l  (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -25*y**3 + 26*y**3 - 19 + 236*y**2 - 240*y**2 as b*y**2 + k*y + v + z*y**3 and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*u + 11 = -y - 1, 18 = -u - 5*y. Let p(c) = 3*c + 26. What is the lowest common multiple of p(-5) and u?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, 12\/47, -27929 in decreasing order.\nAnswer: 3, 12\/47, -27929","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Convert 7 (base 16) to base 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Does 101 divide 34916003?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1?  (a) -0.1  (b) 5  (c) -4\/5  (d) -5\/111  (e) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: 2 (base 8) to base 3\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -16789.1650328 plus 4?\nAnswer: -16785.1650328","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 3011*i*j*s**2 + 4*i*j*s + 2*i*s**2 + 7*j*s**2 - j*s - 359*s**2 wrt i.\nAnswer: 3011*j*s**2 + 4*j*s + 2*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose j = -3*j - 4*w + 64412, -j + 16097 = -5*w. List the prime factors of j.\nAnswer: 2, 83, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -3.87 and 4.\nAnswer: -15.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let x(z) = -6*z**2 + z - 1. Let k be ((-3)\/(-6))\/(31\/62). Give x(k).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-1)\/9*-1*-3. Sort -1\/2, -0.4, r.\nAnswer: -1\/2, -0.4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 3 - 46 - (1 + (-12)\/(-3)). Which is the closest to 0?  (a) -1  (b) y  (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -3, -422072, 4, 3, -2 in decreasing order.\nAnswer: 4, 3, -2, -3, -422072","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let n(l) = l**3 + 5*l**2 + 5*l + 5. Give n(-2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is -1001111001010 (base 2) in base 12?\nAnswer: -2b22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -21541409*o**3*z**3 - o**2*z**2 + 3*o**2 + 9*o*z**2 + 151*o*z - 954*z**3 wrt o.\nAnswer: -129248454*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 15 + -21. Let l be (-4 + (-33)\/y)\/((-6)\/(-8)). Solve -o - 5*w = 0, -l*o = o - w + 16 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 9751 + -639.5\nAnswer: 9111.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: -33 * 3\nAnswer: -99","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -1.89 - -1.49. Which is the closest to 5?  (a) 0.1  (b) o  (c) -0.8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(f) be the third derivative of -f**4\/24 + 2*f**2. Let b(k) be the first derivative of 0*k + 0*k**2 - 7 - 2\/3*k**3. What is g(b(p))?\nAnswer: 2*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 259 and 1057.\nAnswer: 39109","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 27\/(-12)*(2 - -10). Let t = 67 + s. Let d be (42\/14)\/(((-9)\/(-28))\/((-24)\/(-14))). Solve -4*m = 5*k + t, -k = -4*m - 0*m - d for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -10 + 13. Suppose 3*k - 4 + 5 = 4*s, -m*k + s + 2 = 0. Is 2\/17 not equal to k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1\/(((-10)\/8)\/(-5)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (4\/2 - 3)\/1. Let h be 2\/(o - (-3 - -1)). Suppose -4*d - 37 = -c, -c + 37 = 5*d - h*d. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(m) = m**2 + 2*m + 1. Let r(b) = -2*b**2 - 3*b - 3. Let n(t) = 13*p(t) + 6*r(t). What is the lowest common multiple of 6 and n(-9)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*q = -3*n - 2, 0 = -0*q - 5*q + 5*n + 5. Let m = 1 + q. Suppose -3*k - j = -13, -3*k + 5*j - 2 + 9 = m. What is the remainder when 11 is divided by k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: 3\/(351\/(-57)) - 2\/(-13)\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is c + 2a647?\nAnswer: 2a655","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 28233325?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h**(2\/9))**35*(h**(-3))**0 assuming h is positive.\nAnswer: h**(70\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 3446 a multiple of 57?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let n be -2 - (-1)\/(1 + -2). What is the units digit of (2\/n)\/((-2)\/33)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 16\/72 + -34*57\/(-17442). Suppose 44\/3*i - o*i**2 - 43\/3 = 0. Calculate i.\nAnswer: 1, 43","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (3\/45)\/((-6)\/54 + 0). Let y = 0.2 + -0.2. Let w = y + -0.2. Which is the smallest value?  (a) w  (b) 4  (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(j) = -j + 7. Let m be k(4). Let z be m - (51\/9 + -3). Let 2\/3*u - 1\/3 - z*u**2 = 0. What is u?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {f: 3, v: 3, d: 1, b: 1, s: 1, p: 5}. What is prob of picking 3 f and 1 b?\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 17495 is divided by 19?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let s(f) be the second derivative of f**4\/4 + 16*f**3\/3 - 17*f**2\/2 + 176*f. What is the remainder when s(-12) is divided by 7?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 + o - 2)*(-o**4 - o**4 + 0*o**4) + 0*o**5 + 4*o**5 - o**5 + 75*o**5 - 7*o**5 + o**5 + 0*o**5 + 0*o**5 - 2*o**5.\nAnswer: 68*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many kilograms are there in 3.116169mg?\nAnswer: 0.000003116169","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -127\/112314828 and -59\/66.\nAnswer: 1235463108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from fpxf. Give prob of picking 2 f.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 65962383 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: 1054 (base 9) to base 14\nAnswer: 3d8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i(h) be the first derivative of -4*h**2 - 11*h + 1. Is i(-8) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-5 - 3*f + 5*f + 1)*(-144*f + 126 - 260 + 132) as i + n*f**2 + w*f and give i.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let d(v) = 2*v + 1698. Let k(b) = 3361*b. Calculate k(d(t)).\nAnswer: 6722*t + 5706978","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 3?  (a) 5  (b) 1\/2  (c) 16  (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {l: 4, z: 2, n: 7, h: 4, i: 1}. What is prob of sequence hn?\nAnswer: 14\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 0.176 - 83.176. Let o = h + 88.9. Let y = -5.900062 + o. Round y to five dps.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1540 (base 8) in base 5?\nAnswer: -11424","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -936*z + 935*z - 2321 + 195.\nAnswer: -z - 2126","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((f\/(f\/(f**(1\/10)\/f))*f)\/(f*(f**(-12)*f)\/f)*f**(-1\/15)*f\/f**16)**(-19) assuming f is positive.\nAnswer: f**(2261\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Express 2*i**2 - 122*i - 51 + 51 as u*i**2 + j*i + s and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let i(b) = -9*b**3 + 5*b**2 - 7*b + 5. Let a(l) = 49 - 8*l + 19 - 62 - 8*l**3 + 2*l**2 + 4*l**2. Calculate -5*a(v) + 6*i(v).\nAnswer: -14*v**3 - 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0 (base 2) to base 13.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p(s) be the second derivative of -47*s**3\/6 - 2*s - 7. Let c(l) = -2*l. Give c(p(v)).\nAnswer: 94*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -6469042, -12938061, -19407080, -25876099, -32345118?\n\"Answer: -6469019*y - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3798595 is divided by 949453?\nAnswer: 783","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is -2a0f1e (base 16) in base 3?\nAnswer: -12012001001020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -93 - -97. Suppose -3 = -4*s + 1. Solve 9 = -p*l + s for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many nanoseconds are there in 3\/50 of a microsecond?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (9 + -8)*13\/39.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 40 and 915?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -14 + 18. Let t be 2 + 12\/x + -3. Find the third derivative of -2*b**4 + 4*b**2 - 2*b**4 + 2*b**t + 0*b**4 wrt b.\nAnswer: -96*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -11889.635 to the nearest 100.\nAnswer: -11900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*d = 5*i - 348, -5*i + 172 = 2*d - 3*i. List the prime factors of d.\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -0.08 or 391.22?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 38*y - 16390 = 27*y. What is the thousands digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, 4, -715 in ascending order.\nAnswer: -715, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 3*q**4 + 0*q**4 + q + 5*q**4 + 41 - 6*q**4 + 2*q**4 to the form t*q**2 + m + w*q + u*q**3 + v*q**4 and give m.\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -47084.002 - -47030. Let f = u + 54. Let m = -0.00199977 - f. What is m rounded to seven decimal places?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -0.2452 or 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -17 = -6*t + 5*t. Let g be (-4)\/2 + -18 + 5. Let a be 6\/g + 28\/20. Solve 4*c - t = -a for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 4122?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11 = -3*g - c, -g - 4*c = -0*c. Suppose g*a - 764 = -4*q, 4*a - q = 2*q + 771. Calculate the highest common divisor of a and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 1 + 3. What is the remainder when 14 is divided by g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {z: 2, o: 12, d: 5}. Give prob of sequence oo.\nAnswer: 22\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -0.05 - 0.15. Which is the third biggest value?  (a) 0.4  (b) o  (c) 0.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 20714823, 20714819, 20714813, 20714805?\n\"Answer: -i**2 - i + 20714825","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from yfff. Give prob of sequence fff.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -235 + 280. Calculate the highest common factor of q and 63.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -37 = 5*p - 4*i, -22*i + 20*i + 31 = -5*p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -u + 2*u - 24. Suppose -3*l + 4 = -o, 0*o + 2*o = l - 18. Let t = o + u. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 8, 13, 22, 35?\n\"Answer: 2*h**2 - h + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 272 is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 198 and 1547766.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 32281.07l?\nAnswer: 32281070","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1312 (base 8) to base 2.\nAnswer: -1011001010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((0 + 0 - 1)*(2*n**3 + 4 - 4) + 20856*n**2 + 21*n**3 - 20856*n**2 + (4 + 0 - 3)*(-4*n**3 + 4*n**3 + 2*n**3) - n**3 - 2*n**2 + 2*n**2)*(-9*n + 2*n + 4*n).\nAnswer: -60*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let z(l) be the third derivative of -l**5\/60 + l**4\/12 + 2*l**3\/3 + 22*l**2. What is z(4)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 225 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let d(l) = l - 1. Let k(w) = 11*w - 2. Let f(q) = 2*d(q) - k(q). Let u(r) = r**2 - 18*r - 1. Let o(n) = -13*f(n) + 6*u(n). Factor o(b).\nAnswer: 3*(b + 2)*(2*b - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.016843817 rounded to three dps?\nAnswer: 0.017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 1617 - 675?\nAnswer: 832","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5 = -5*p + 5. Solve 7 = -3*f + l, 4*f - p = 5*l - 4 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -49 + 45 - (1 + -6 - 0).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -17793, -35368, -52943, -70518?\n\"Answer: -17575*m - 218","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -7086 divided by 68.\nAnswer: -3543\/34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (43\/((-3440)\/(-64)))\/(-2)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (1 + 31 - 15)*(3*g + g - 2*g) to the form u + n*g and give n.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 11677 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 996 and 1162.\nAnswer: 6972","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 904316448 to the power of 1\/2, to the nearest integer?\nAnswer: 30072","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Round -233.34647 to the nearest ten.\nAnswer: -230","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -139*j + 56*j + 3901. What is the greatest common factor of 1 and j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:56 PM and 6:44 AM?\nAnswer: 708","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -4\/5, 0.0732, 4, -2\/5, 0.2?\nAnswer: 0.0732","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*s - 5*s = -18. Let f = 13 + s. Is 5 greater than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(g) = -450*g - 63169. Determine o(-141).\nAnswer: 281","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1280*m = -109395 - 685 for m.\nAnswer: -86","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 894940553*c - 1241706743 wrt c.\nAnswer: 894940553","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence qjq when three letters picked without replacement from {q: 5, f: 2, j: 2, s: 3, c: 8}?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let n(m) = -6*m - 8. Let v(u) = -19*u - 26. What is 7*n(z) - 2*v(z)?\nAnswer: -4*z - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -398*v + 393*v - 3930. Let i = 2 + -6. Is 2\/i - v\/12 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*l - 14 = -7*l. Let f be l - 6 - 168\/(-36). Let n be (-4)\/(-6) + (-5)\/3. What is the nearest to n in -0.1, -3, f?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 597, -12, -7, 4 in increasing order.\nAnswer: -12, -7, 4, 597","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let h(s) = s**2 - 328*s - 1931. What is h(-6)?\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 1 <= 365\/652?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many nanometers are there in fourty-two fifths of a micrometer?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*z + 148 = -311. Suppose -5*a + 392 = -108. Let o = z - a. List the prime factors of o.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -25*u + 18 + 757 = 0. Calculate the remainder when 58 - (0 + -2)\/2 is divided by u.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6*t + 21*t - 702 = 41*t for t.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:31 PM and 9:42 PM?\nAnswer: 71","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 163398*r**2 - 85624*r**2 - 77770*r**2.\nAnswer: 4*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 g, 2 u, and 1 y when four letters picked without replacement from uhrlhuhuuyug?\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -0.5, -6, 9, -1\/2163, -19\/4?\nAnswer: -19\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 2\/(-2) - (19 - -2). Let i = -22 - b. Solve 4*p - 9*p = i for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(q) = 5*q**3 - 2*q**2 + 2*q - 1. Let b be v(1). Let p be (10\/(-8))\/(2\/(-8)). Is p >= b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 271.6 or 2?\nAnswer: 271.6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -43, -115, -247, -439?\nAnswer: -691","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*j + 0 = -4, -3*j - 114 = 3*o. Let n = -40 - o. Suppose n*b = 3*b - 252. Is 19 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (2\/7 - 0)\/(1\/469). Suppose -3*q - j + 581 = 0. What is the hundreds digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((k*k**(-2\/5))**7\/(k*k\/k**(-3\/7)*k**(1\/4)))\/((k*k**(-5))\/(k\/(k**(-5)\/k*k))*k**(-6)*k*k*k*(k\/k**5*k)\/k) assuming k is positive.\nAnswer: k**(2593\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*m = -17*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -7*h + 421 + 258. Suppose 5*i + 262 - h = 0. Which is smaller: i or -34?\nAnswer: -34","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 173997607?\nAnswer: 7, 359, 69239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (0 + -3)\/((-21)\/35). Solve n - 15 = -4*t, -1 + o = t for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -10 < -9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let m(u) be the third derivative of -11*u**7\/2520 + u**4\/6 + 2*u**3 - 76*u**2. Let q(z) be the second derivative of m(z). Let l(c) = 6*c. Calculate l(q(g)).\nAnswer: -66*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*l + 8 = -0. Suppose -i - 13 = -l*h, i - 4*h + 12 = -9. What is the second smallest value in i, 0.4, 1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.5476742 millennia in decades?\nAnswer: 54.76742","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 6\/(-1)*(-2 - -3)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence occ when three letters picked without replacement from {o: 6, c: 4, i: 5}.\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 2\/769 + -13117\/16918. Find the common denominator of b and -77\/20.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: 2 divided by -11\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 209\/110 - 4\/10 - 43 and 87\/14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -5 + 8. Let l be (0 + 1)\/(200\/16 + -6). Which is the closest to -2?  (a) d  (b) l  (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f\/(f**0*f))**33*f**(3\/2)*f\/(f\/f**(-3\/4)) assuming f is positive.\nAnswer: f**(3\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*j + 56 = 5*f - 24, -4*j = f - 1. Calculate the smallest common multiple of f and (-36)\/14*1400\/(-150).\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -7*6.\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let u(y) = -4*y**2 - 4*y + 1. Calculate u(1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*q + 13 - 1. Let n = 21 + -8. What is the remainder when (26 - 0 - q)*1 is divided by n?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {w: 3, p: 3, t: 1, f: 1, g: 1, m: 2}. What is prob of sequence ftm?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-3)\/2*3*2. Let w(i) = i**2 + 9*i + 12. Does 12 divide w(m)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 15 + -12. Suppose 0 = -2*v - 8 - 0. Which is the third biggest value?  (a) v  (b) n  (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 643d9a (base 14) to base 12\nAnswer: 1176830","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: 48221.7*-4\nAnswer: -192886.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 3*r**3 - 135*r**6 + 31687*r**5 - 63380*r**5 + 3692*r**2 + 31693*r**5 wrt r?\nAnswer: -16200*r**3 + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*l + 18 = 2*p + 2*p, 2*p - l - 14 = 0. Let n(v) = 2*v**2 - v + 2. What is the remainder when n(3) is divided by p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -8, 5, 26, 55, 92, 137?\n\"Answer: 4*q**2 + q - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -81\/6818 and 27\/11.\nAnswer: 74998","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let p(w) = w**3 + 41*w**2 + 111*w + 46. What is p(-38)?\nAnswer: 160","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 7650 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5*(sqrt(275) - sqrt(11))**2 - (1 + sqrt(44)).\nAnswer: -2*sqrt(11) + 879","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2023912222.\nAnswer: 2, 1011956111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 8445696479 to the nearest integer?\nAnswer: 2036","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (6*sqrt(13)*2 - sqrt(13)) + 4.\nAnswer: 4 + 11*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-4)\/(-1 + (-5 - -10))*(62\/(-62))\/101.\nAnswer: 1\/101","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 2 - -1. Solve k*g - 2 = 4 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*n - 573 - 37 = 5*m, -4*n + 20 = 0. Which is smaller: m or -127?\nAnswer: -127","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 937 (base 13) in base 6?\nAnswer: 11131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 148 minutes before 6:48 PM?\nAnswer: 4:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: -202732 times -10\nAnswer: 2027320","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in 1\/16 of a meter?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4315 = 35*f - 3930 for f.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11 = 14*h - 15*h. Solve -4*g = p - h, -3*p - 3*g = -0*g - 6 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are 46770 and 43903 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 e, 1 g, and 1 x when three letters picked without replacement from {h: 2, x: 1, g: 3, v: 1, e: 1, q: 5}?\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.364 to one decimal place.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-26)\/(-7) - -1*4\/14. Suppose 6*v - 2*q = v + 61, 12 = -s*q. Let m = 74 + -32. What is the remainder when m is divided by v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -15 - -28. Suppose 8*d - 21 - 19 = 0. Suppose 0*k + k = 2*m - 56, d*m - 5*k - 150 = 0. What is the highest common divisor of o and m?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1\/4 in -1, -3\/133, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*x = -2*f + 95 - 3, -2*f - 164 = 5*x. Let o = -14 - x. What is the units digit of o\/4 - 3\/(-6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1109 is divided by 367.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 635.\nAnswer: 5, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 31758 rounded to the nearest 10000?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: 2350 - 253134\nAnswer: -250784","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((b\/(b*(b*b**21)\/b))\/((b*(b*b**(-1\/21))\/b)\/b))\/(((b\/(b**(2\/43)\/b*b))\/b)\/(b\/(b*((b*b*b*b**(1\/3)\/b*b)\/b)\/b))))**(-30) assuming b is positive.\nAnswer: b**(200820\/301)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 22993 to the power of 1\/3, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 2839.8555 months in centuries?\nAnswer: 2.36654625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -535, -876, -1439, -2224, -3231, -4460?\nAnswer: -5911","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 16 - (5 + -9 - (-22 - -13))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i(u) = -8*u + 6*u**2 - 2*u - 7*u**2 - 7. Let z be (-2)\/(-4) + (-34)\/4. List the prime factors of i(z).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -26933*m + 53938*m - 1 - 3 + 4 - 27010*m.\nAnswer: -5*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let t(m) = m + 11. Let a be t(-10). Let k be a*(-2 + 102)\/2. Calculate the greatest common divisor of k and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(h) be the third derivative of 5*h**4\/12 - 4*h**2. Let a(d) = d. Let r(l) = 8*a(l) - y(l). Let b(w) = -17*w. Calculate r(b(c)).\nAnswer: 34*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*w + 2*w - w)*(5*w - 2*w - 11*w)*(-10*w + 32 - 32)*(4 + 0 - 2).\nAnswer: -160*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -0.04  (b) -2  (c) 2\/15  (d) -72  (e) -3\/2  (f) 15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Put -16, 3, 372, 2, 0 in increasing order.\nAnswer: -16, 0, 2, 3, 372","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 b and 1 s when two letters picked without replacement from {b: 1, x: 6, s: 7, q: 5}?\nAnswer: 7\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 16951 is divided by 2960.\nAnswer: 2151","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Round 721.815 to the nearest integer.\nAnswer: 722","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 40724292 divided by 98.\nAnswer: 415554","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -20, -205, -704, -1673, -3268, -5645?\nAnswer: -8960","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Find n such that 2*n**3\/7 + 39738*n**2\/7 - 39752*n\/7 - 238440\/7 = 0.\nAnswer: -19870, -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -9*p + 10*p = 5*j + 40, -2*j - 3*p = -1 for j.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let f(d) = 4*d**2 + 69*d + 65. Let g(l) = -11*l**2 - 207*l - 195. Let z(m) = 8*f(m) + 3*g(m). Is z(-50) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand n + 3 - 3 - 4*n + 0*n + 5*n + (-1 - 2 + 4)*(-5*n + 2*n + 4*n) + (0*n + 3*n - n)*(-234 + 72 + 3).\nAnswer: -315*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -447379, -447373, -447367, -447361, -447355?\n\"Answer: 6*t - 447385","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: 4 divided by 4\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*x + 3*b + 23, x - 18*b + 15*b - 7 = 0. Suppose j + 12 = -3*y, 2*y - 25 = 7*y. Suppose -u + 28 = j*u. Solve u*c + 15 = x*c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -35 = -4*g - 3*p - 0*p, 25 = 3*g + 2*p for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 16 divided by -1390?\nAnswer: -8\/695","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:19 AM and 2:12 AM?\nAnswer: 53","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -541.59138845 + -0.0035?\nAnswer: -541.59488845","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -79\/96 and -11\/13680.\nAnswer: 27360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 15\/(-10)*(-198)\/3. Let w be 14\/(-44) + (-18)\/l. Suppose 3*o = 2*x + 17, o - x = 2*x + 8. What is the second biggest value in w, o, -1?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*p - 11551 = -5*f + 6*p, 2*f = 4*p + 4622. List the prime factors of f.\nAnswer: 2309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-3 - 1)*(-157)\/1570?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -5 - -7548?\nAnswer: 7543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let s(y) = -y - 3. Let m be s(-6). Suppose -5*z + 6 = -2*z. Let x(c) = c**3 + z + 2*c - 3*c**2 + 4*c**2 - m*c. Determine x(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 61228 is divided by 30?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*j**4 + j**4 + 0*j**4)*(-8*j - j + 2*j) - 460*j**4 + 460*j**4 + 158*j**5 + 2*j**5 + 3*j**5 - 4*j**5.\nAnswer: 152*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -1132 + 5?\nAnswer: -1123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2 + -4*(sqrt(425) + 1 + sqrt(425) + -2 - sqrt(425)) + ((sqrt(425) + -1)**2 + -5)*-3 + 3 + 4.\nAnswer: -1254 + 10*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 25\/9 + 2\/9. Suppose -2*g + 8 = 2*j - 4, -13 = 2*j - i*g. Solve 0 = v - 0 - j for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-3)\/(-2)*(-190)\/(-57). Suppose -3*p - 4*w + 2741 = 0, 2*p + 93 = -u*w + 1911. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -2191, -8828, -20013, -35848, -56435, -81876?\n\"Answer: -17*w**3 - 2172*w**2 - 2*w","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 49383 and 5?\nAnswer: 246915","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 108*q - 111*q = -2*a + 15, -3*a + 5*q = -26 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7 = -3*x - 7. Suppose 5*a = -4*i + 8, x*a - 2*a = 5*i - 10. Let n be (-4)\/14 - (-1840)\/70 - i. Calculate the highest common divisor of n and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3 + 2 + sqrt(76)\/sqrt(4) + -4.\nAnswer: -5 + sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 439 - 403. What is the greatest common divisor of 252 and a?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 1144938 to the nearest integer?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4 - 3 - 3)*(-2 - 1 + 5)*(-1 - 2*w + 1).\nAnswer: 8*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -5736, -11504, -17280, -23064, -28856, -34656?\n\"Answer: -4*y**2 - 5756*y + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*x = -134*c + 6, -17*x + 54*x - 3 = 38*x - c for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Divide -1824804 by -6.\nAnswer: 304134","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -1.8 + 4. Let v = 2.9 - x. Let w = v + -1.7. Which is the closest to 1?  (a) -1\/4  (b) -7\/5  (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1959.636km in millimeters?\nAnswer: 1959636000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -h = -5*s - 0*s + 11, s - 4*h = 4*s + s - 28 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1\/36, -5, 0, 140\/3, -2.8 in ascending order.\nAnswer: -5, -2.8, 0, 1\/36, 140\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let b(l) be the second derivative of l**5\/20 + l**4\/3 - 5*l**3\/6 - l. Suppose 1716 = 19*r - 284*r + 391. What is b(r)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 149 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 41035669.\nAnswer: 41035669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.5?  (a) 0.1  (b) 2  (c) -2.5  (d) 1\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -q - 6*i = -i - 44, 4*i + 89 = q. Suppose -q = -3*d - 0*d. List the prime factors of (d + -1)\/(4 + -2).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: -2 (base 15) to base 2\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -21064, -42130, -63198, -84268, -105340, -126414, -147490?\n\"Answer: -a**2 - 21063*a","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (7 - 7 - m)*(10*m**4 - 76 + 76).\nAnswer: -10*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 97\/164378 and -3\/904079.\nAnswer: 1808158","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5880 = 40*d - 20*d. Calculate the lowest common multiple of 504 and d.\nAnswer: 3528","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let q**5 - 470*q**4 + 27388*q**3 + 16632*q**2 - 14784768*q - 122491008 = 0. Calculate q.\nAnswer: -12, 46, 402","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 322856153 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3 + -6*(-2 + sqrt(99) + 1 + -6*(sqrt(99) + 1) + 2) + 4)**2.\nAnswer: 5580*sqrt(11) + 90061","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let q(t) = 155*t - 1. Let g(b) = -b**2. Calculate q(g(p)).\nAnswer: -155*p**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let b(x) = 99*x + 55. Let w(j) = 7*j + 4. Let r(l) = -4*b(l) + 55*w(l). Let d(z) be the first derivative of z**2 + 57. Determine r(d(i)).\nAnswer: -22*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4*((1*sqrt(98))**2 - sqrt(2) - ((sqrt(72) + 1)**2 - sqrt(2)))*-5.\nAnswer: -500 + 240*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {k: 2, t: 16}. What is prob of picking 2 k and 2 t?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*i - 5*i + 676 = 5*z, 390 = 3*z - 4*i. Calculate the remainder when z is divided by 47.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.06799 decades to centuries.\nAnswer: 0.006799","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -15.8 + 15.8. Let m = -2.73 + -0.27. Let x = -1 - 3. Which is the nearest to 0.1?  (a) x  (b) t  (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 k when two letters picked without replacement from {w: 1, k: 2}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -0.5391 + 0.47759. Let v = 22 - 22.061. Let s = w - v. Round s to four dps.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 90763 = 499*y - 176*y. What is the highest common factor of y and 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Do 2\/4080467 and 1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: 2 (base 5) to base 2\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*j - 9 - 6 = 3*z, -2*z = 2*j + 10 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let q(r) = -4*r + 1. Let i(w) = 11*w - 3. Let j(u) = 4*u + 5. Let d be j(-11). Let n = 56 + d. Determine n*q(y) + 6*i(y).\nAnswer: -2*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 10072\/185 + -1600\/37. Calculate the common denominator of c and 43\/67.\nAnswer: 335","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(s) = -597*s - 30496. Give i(-51).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*l = 5*g + 1985, 0 = 4*l + 28 - 8. What is the common denominator of 274\/96 + (-2)\/3 and 1 + 2 - g\/20?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 28 + -25. Suppose 1 = -h - 4*n, 2 = -5*n - b. Solve -4*t = h + 9 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (25*(-48)\/(-1800))\/(4\/(-6)). Is -114\/737 at least as big as s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 8746776653.332 + -21039955.332. Let i = s - 8725737279.0000347. Let x = i + 581. Round x to 5 dps.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -9\/13031 or 1?\nAnswer: -9\/13031","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4 - 9.05034.\nAnswer: -13.05034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -7.2 and -1.\nAnswer: 7.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 23*h = 533 + 19. What are the prime factors of (12\/10 + 0)\/(h\/240)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1257233137 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 5 + -4. Let x = 1 - 1. Put x, 5, m in ascending order.\nAnswer: x, m, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -322, -289, -224, -121, 26, 223, 476?\nAnswer: 791","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 142054 is divided by 14?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 33569771 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*y**2 + 236*y - 38544.\nAnswer: 4*(y - 73)*(y + 132)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -3  (b) 4  (c) 95\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 8 a factor of 57108?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 83 divided by -198?\nAnswer: -83\/198","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 1708 a factor of 64304492?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 945 take away 527?\nAnswer: 418","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 69 + 10*w**3 - 36 - 33 + w**3.\nAnswer: 11*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is (-125474)\/(-8) - ((-516)\/48 - -10) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (1 - 3)\/(1 - -1). Is (-1)\/i*53*7 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 6 a factor of 29111?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let v(w) = 2*w + 24. Suppose -3*o = -6*o - 4*n - 14, -3*o - 50 = -5*n. Let i be v(o). Suppose 2*k - 4 = 0, i*x = 3*k - 5 - 9. Do x and 0 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 34\/5 of a microsecond in nanoseconds?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u(y) = y**3 + 7*y**2 - 5*y + 8. Let j be u(-7). What is j rounded to the nearest ten?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose d = -n - 1, 0 = -n - 4*d + 8*d - 1. Let h(k) = -33*k**3 + 3*k**2 - 2*k - 4. Let o be h(n). Calculate the greatest common divisor of o and 272.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 58545?\nAnswer: 3, 5, 1301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 5370?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ouummuomxwmkm. What is prob of sequence ouuk?\nAnswer: 1\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 3  (b) -5  (c) -37\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((5*(sqrt(1400)*-2 + sqrt(1400)))\/(sqrt(22)\/(-1*sqrt(55)\/sqrt(5))))**2.\nAnswer: 17500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -2578*g**5 - 1816*g?\nAnswer: -51560*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 169834 is divided by 26?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Product of 1355.6 and -2.6.\nAnswer: -3524.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-18)\/(-15))\/(315\/(-350))*-12?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 c and 2 x when four letters picked without replacement from xqvvxxccqmxxqq.\nAnswer: 10\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: 110101100 (base 3) to base 7\nAnswer: 35214","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0?  (a) 15  (b) 51\/4  (c) 1  (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from gukdkdgdhgddggdhg. What is prob of picking 1 u and 1 d?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 609 to the power of 1\/7, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let q(v) = 24*v**2. Let j(d) = -d**2 + 4*d + 565. Let h be j(-21). Let o(w) = -w**2. Calculate h*o(u) + 2*q(u).\nAnswer: 8*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from hlldldllykdlh. Give prob of picking 1 k and 1 h.\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let s(y) = 0*y**2 - y + y**2 - 4*y**2 - 3*y**3 + y**2 - 2*y**3. What is s(-1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -6*l**4\/5 - 85841*l**3\/5 + 14307*l**2\/5.\nAnswer: -l**2*(l + 14307)*(6*l - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 11143 - 11143.0594. Which is the closest to -1\/4?  (a) -3  (b) j  (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000034687 rounded to 5 dps?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-1)\/3 + 124\/12. Suppose a*s = 15*s - 50. What is the units digit of ((-3)\/7)\/(s\/(-70))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*i = 5*q - 37, -4*q - 3*i - 11 = -6*q. Suppose q + 2 = w. Is 5 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*i + 1 = -3*n, 1 = i - 2*n - 1 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0135126 rounded to 3 decimal places?\nAnswer: 0.014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let s(o) be the first derivative of 4\/7*o**2 - 1\/14*o**4 - 48 + 0*o + 2\/7*o**3. Factor s(l).\nAnswer: -2*l*(l - 4)*(l + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -18 = -3*j - 3. Suppose -2*q = -q - j. Suppose -q = -o + 8. What are the prime factors of o?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 50.4 + -50.32. Let w be -2 + 2 - 2\/6. What is the nearest to w in i, -3, 2\/3?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 30\/(-4)*(-132)\/110*16\/(-12)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-1 - 3)\/(2*19\/(-988)). What is the highest common divisor of 504 and o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -h - 3*k - 19, 4*k + 39 = -4*h - 69. Suppose -3*y - 75 = 4*c, 3*c - 125 = 4*y - 0*y. Let m = y - h. Solve -9 = t + m*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(i) = -i**2 + 7*i + 3. Let s be g(6). Suppose -3*h = 2*c - s, 2*c + 0*c = 0. Solve -4*f = h + 17 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -40*s**2 - s**2 - 32*s**2 + 6*s**2.\nAnswer: -67*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let i(u) = u**3 - 18*u**2 - 87*u + 132. What are the prime factors of i(35)?\nAnswer: 2, 2239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, -2, -4, -90 in decreasing order.\nAnswer: 1, -2, -4, -90","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 35500 is divided by 35490.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -92, 5, -0.0178?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 5\/((-5)\/(-3)) - -21. Let c = -8 + w. What is the smallest common multiple of c and 14?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(t) = 5*t**2 + 2*t + 1. Let i be z(-1). Let v = i + 4. Calculate the greatest common factor of 24 and v.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(z) = 4 - 4 - 440*z**2 - z**3 + 62*z + 411*z**2. Let w be q(-31). Solve 5*c - 6 - 14 = w for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(f) = -423*f + 62. Let g(u) = -25*u**2. What is r(g(w))?\nAnswer: 10575*w**2 + 62","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 13824140 and 52514.\nAnswer: 682","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Convert -2189 (base 12) to base 11.\nAnswer: -2869","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -6551 - 2650641?\nAnswer: -2660522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose d - 6*d + 10 = 0. Solve 0 = -h - d*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many kilograms are there in 847364.1ng?\nAnswer: 0.0000008473641","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 k and 1 d when three letters picked without replacement from qfdffkkdpkpkkk.\nAnswer: 15\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-13)\/(-3) + (-2)\/6. Suppose -9*i - 5*n + 545 = -4*i, -f*n + 8 = 0. What is the tens digit of i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(d) = 214*d + 100. List the prime factors of r(4).\nAnswer: 2, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*p = -2*p - 4*x - 2336, 4*x = -p + 1162. Let u = p + -774. Is u a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 676*b + 306*b - 2*b.\nAnswer: 980*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -157  (b) 4  (c) 0  (d) 1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: (184\/(-1012))\/((-1)\/(-88))\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many millennia are there in 18816.43 decades?\nAnswer: 188.1643","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: (14\/49)\/(22\/14)\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*f = -4 - 66. Suppose 5*u = -2*i - 365, 3*u + 360 = -2*u - i. Let c = u - -106. Calculate the highest common divisor of c and f.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/((-4)\/35) - 49\/((-4704)\/72)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 129180 and 480?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: 4*(-9)\/(-6)*2\/12\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 4788282641 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -49*i = -56*i - 28. List the prime factors of (-6330)\/(-6) + (2 - i).\nAnswer: 1061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 400, 1533, 3394, 5983, 9300, 13345, 18118?\n\"Answer: 364*u**2 + 41*u - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 2789 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 4572500707 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*o - 56 = 8*o. Let b be (-168)\/16 + 1\/2. Let q = 10 + b. Solve q = 2*t - 2, 4*v - t + o = 7 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 596 and 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1\/4?  (a) -1191  (b) -36  (c) -4  (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 10 (base 7) in base 5?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 43, 110, 203, 310, 419?\n\"Answer: -2*n**3 + 25*n**2 + 6*n + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a(l) = -7*l + 8. Let t be a(-10). Suppose -4*h + t = -22. Suppose -3*d - 2*d + h = 0. Calculate the greatest common factor of 35 and d.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -j = -0*j - 10. Let t be (3\/1)\/(15\/j). Suppose -5*b + 2*h + h + 6 = 0, 3*b - t*h = 3. Solve -d + 0*d = b for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2755153342 to the power of 1\/10, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -73\/1166914 and 46\/83351.\nAnswer: 1166914","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: (10 - (-1 - 0)) + -4\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -40203 = 95*m - 12178. Let i be (-242)\/(-21)*51\/(-2). Let d = m - i. Calculate the common denominator of d and 13\/5.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 31 + -28. Which is greater: 8 or g?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(g) = 1. Let b(j) = 4*j - 1. Calculate b(h) + 3*x(h).\nAnswer: 4*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 7 - -19. Is z a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -8*m + 14 = 38 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7 - 5 = g. Let k be g*(-10)\/8*8\/(-10). Suppose -k*o + j = -27, -o + 6*o = -j + 78. Calculate the lowest common multiple of 12 and o.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(h) = 0*h - 5*h - 3*h + 3*h + 9*h + 1. Let g(q) = 8*q + 2. What is -3*g(w) + 5*z(w)?\nAnswer: -4*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let o(p) = -p**3 + 9*p**2 + 5*p + 12. Let d be o(9). Let w be d\/15 - (-1)\/5. What is the units digit of (w\/8)\/((-1)\/(-2))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -796519, -1593062, -2389605?\nAnswer: -3186148","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {h: 4, a: 7, l: 2}. What is prob of sequence ll?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4218*j = -4230*j + 12610*j - 4224*j + 186 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1277 or 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*t - 210*y + 214*y + 113 = 0, 3*t - 4*y = 119 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/5 of a meter in centimeters?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1613685 (base 10) to base 15.\nAnswer: -21d1e0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -698, -704, -708, -710, -710, -708?\n\"Answer: u**2 - 9*u - 690","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -1505, -2959, -4413, -5867, -7321, -8775?\nAnswer: -10229","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q\/((q**(-15)\/q)\/q)*q)\/(q**(-13)*q) assuming q is positive.\nAnswer: q**31","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Does 49 divide 103944189?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -3\/7 in -2\/7, -29135, -5, 0.3, 4?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12*b - 17*b = 2*a + 10, -6 = 3*b + a. Put -3, -106, b in decreasing order.\nAnswer: b, -3, -106","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let x(k) = k + 5. Let z be x(0). Suppose j + 17 = t + 3*t, z*t = j + 21. What is the second derivative of -r + 2*r**t + 2*r + 0*r wrt r?\nAnswer: 24*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -64*r**5 - 42*r**2.\nAnswer: -3840*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 224883?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 1883964 and 48?\nAnswer: 7535856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-f + 3*f - f)*(-5 - 3 - 12)*(1 - 3 + 1)*(-1 + 6 + 0).\nAnswer: 100*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let i(z) be the first derivative of z**4\/4 - 4*z**3\/3 - 7*z**2\/2 + 5*z + 1. Let h be -42*7\/(-14) - 2\/(-1). Let c = h - 18. Determine i(c).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be ((-6)\/(-4))\/(3\/4). Let b = 158 + -155. Suppose 2*j + 0*j = 0, b*j - 15 = -3*s. Sort k, s, 3.\nAnswer: k, 3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 j and 2 s when three letters picked without replacement from {e: 5, s: 4, j: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-143)\/22*(-1965)\/1703.\nAnswer: 15\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2 + 0 + -2 - (53 - 49).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Add together 14.9 and 0.134.\nAnswer: 15.034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is -20 smaller than -0.084?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 393365905 to the nearest integer?\nAnswer: 19833","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*d = 3*p + 2*d + 21, -12 = -4*d for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let z(l) be the second derivative of 1891*l**4\/3 - 1077*l**3 + 10099*l. What is the second derivative of z(g) wrt g?\nAnswer: 15128","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -6 + -35?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from mymjutmymzyzmumuuz. Give prob of sequence yt.\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 4977160?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*u + 36172 = -4*w - 78187, 2*u - 76211 = -3*w. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5 - 3 - 171*k**2 - 2.\nAnswer: -171*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let -3*z**2\/4 - 27*z\/2 + 30 = 0. Calculate z.\nAnswer: -20, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 38799?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of (-9)\/30*185\/(-6) and (12\/(-4))\/((-50)\/(-45)).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(w) = -16*w - 2. Let j be g(1). Let t be 1*(13\/(-9) - (-4)\/j). Let c = -0.4 - 0.1. What is the smallest value in c, t, -0.3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 83647807?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let z(n) = 7*n**3 + 217*n**2 + 1538*n + 17. Determine z(-20).\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-3*p - 3*p + 2*p)*(8 + 3*p**2 + 5 + 1) to the form s*p + h*p**2 + c + x*p**3 and give x.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 43, 81, 119, 151, 171, 173?\n\"Answer: -i**3 + 6*i**2 + 27*i + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q(d) = -d**2 - 3*d - 2. Let b be q(4). What is the units digit of ((-2)\/(-9) - 154\/45)*b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 4 + -7 + 13 - (64 + 0 + (4 - 2)).\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (r**2 + 0*r**2 - 2*r**2)*(6*r + 26*r + 11*r + (4 - 4 + 1)*(3 + 2*r - 3) + 40 - 8*r - 40).\nAnswer: -37*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*p - 264 = 4*q - 290, 5*q = p - 20. Let x(g) = 3*g - 16. Calculate x(p).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 206970401*c**4 + 5*c**2 - 15014211?\nAnswer: 4967289624*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Put 5, -3, 6 in ascending order.\nAnswer: -3, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (1\/(-3))\/(17\/(-102)). Is (-2 + 1)*(-1)\/(z\/270) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -2312990\/153 or -15118?\nAnswer: -2312990\/153","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let r(h) = -h**2 - 98*h - 1868. Let f be r(-72). Let p(y) be the first derivative of 1\/2*y**f + 16 + 0*y - y**2 + 0*y**3. Factor p(v).\nAnswer: 2*v*(v - 1)*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 59377115977 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve -12*p - 108 = 5*h, -206*h + 21*h - 3*p - 30 + 3 = 0 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1516 = 18*o + 1300 for o.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 5.81017 + -13.407612. Let t = z - -7.39744194. Let y = -0.2 - t. What is y rounded to seven dps?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 606242 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 341 times -0.057?\nAnswer: -19.437","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {p: 3, c: 12}. What is prob of sequence ppcp?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 90361370 and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Express 2*j - 101925*j**2 + 5*j**4 + 8*j**4 + 8 + 101951*j**2 in the form o*j**3 + f*j**4 + g*j + v*j**2 + t and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 4 divided by -19901?\nAnswer: -4\/19901","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let x(g) = 10*g**2 - g - 1. Let h be x(1). Solve 0 = -2*f + 6*f - h for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 43 = -2*c + 3*r, -215*c + 63 = -218*c + 3*r. Sort 0, 26, -1, c.\nAnswer: c, -1, 0, 26","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(x) = 2*x + 14. Let y be f(-6). Let q be y + 24\/(-15) + (-26)\/(-10). Solve -2*w - 26 = -5*s, -q*w + 2*w = 3 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 37 + -12. Suppose 0 = 3*z - 8*z + u. What are the prime factors of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -13  (b) -2\/3  (c) -5067  (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: -6 (base 7) to base 5\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 45 = -3*i + 132. Solve 4*f - 3 = -3*c - i, 3*f + 3*c + 21 = 0 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3 = 4*k - 1. Let g(i) = -i. Let b(o) = 16*o - 1. Let m(s) = b(s) + 4*g(s). What is the units digit of m(k)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 15\/4 of a decade?\nAnswer: 450","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1 + 11 - (-39 + 40) - 18.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 10 - 7. Solve -3*f - q = 3 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1 - ((68 - 31) + -39).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 4*3*3\/36. Let k(t) = 1. Let g(x) = x + 8. Calculate b*g(y) - 6*k(y).\nAnswer: y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 78 - 71. Which is greater: f or -0.4?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(u) be the third derivative of -u**4\/24 + 35*u**3\/6 - 503*u**2. Let q = -17 + 24. List the prime factors of a(q).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 123.3 - 125.3. Which is the closest to j?  (a) -19  (b) 2  (c) -2\/3  (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 731 is divided by 8.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 11 + -6 + 2 + -6 - -3?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*t**2 + 5*t**2 + 8*t**2)*(81*t**2 - 81*t**2 + 4*t**3).\nAnswer: 64*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in -4\/9, 16\/3, -1, -0.3, -48, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 12\/108 - (-1)\/(-9). Suppose y = j - 4*q - 29, 35 = 8*j - 3*j + 2*q. Calculate the remainder when 25 is divided by j.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-170)\/(-119) + 9 - 96\/(-168)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 67985039.\nAnswer: 139, 489101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is -46286 at least -46283?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Does 16 divide 1072?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let f(k) = k**2 - 6*k - 2. Let q = -2 + 9. What are the prime factors of f(q)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -547 or -518?\nAnswer: -547","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of (-7)\/42*3 - (-263)\/2.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -1057.8 - -1958.84. Let t = p + -901.00699296. Let n = 0.033 - t. Round n to six dps.\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -843 - -942. Suppose 3*h - 8*h - 90 = 0. What is the tens digit of h\/k + (-167)\/(-11)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5 a factor of 441?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*z - 20 = 5*n, 0*n - 4*n + 11 = 3*z. Suppose 77 + 3 = -z*m. Are -16 and m unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(i) = 4 + 6 - 4 + i. Let o be (-15 - -27)*(-1)\/(-3)*-1. What is g(o)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(h) = -2*h - 4. Let n = 0 + -4. Let b be y(n). Suppose 265 = i + b*i. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -156 + 161. Let o = 0.57 - 3.27. Let p = o + 2.6. What is the second smallest value in -1\/5, 2, p, l?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the sixth smallest value?  (a) -3  (b) 2\/9699  (c) -1\/7  (d) -0.2  (e) 27\/4  (f) 1\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -509*l**3*o + 10*l**3 + 389*l**2*o - o - 7 wrt l.\nAnswer: -3054*o + 60","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let f(n) = -399*n + 213. Let j(i) = 80*i - 43. Let w(p) = -5*f(p) - 24*j(p). Let v be w(3). What is the greatest common divisor of v and 18?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 4\/40059 - 404635975\/160236. Let x = w - -110941\/44. Find the common denominator of 71\/10 and x.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.1 in -0.17, 0.4, 147?\nAnswer: -0.17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9 = -3*a + v, 10 = -a + 2*a + 2*v. Suppose -n + r = 15, -a*r = 2*n - n - 5. Let q(l) = l**3 + 12*l**2 + 8*l - 1. List the prime factors of q(n).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -1.77 + 1.9. Let o = 184 - 185.63. Let g = d + o. What is g rounded to one dp?\nAnswer: -1.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 233157 is divided by 233000.\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 23562348 to the power of 1\/2, to the nearest integer?\nAnswer: 4854","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 44846, 44822, 44786, 44732, 44654?\nAnswer: 44546","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: -81757709 times -3\nAnswer: 245273127","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*d - d = 2*o + 28, -5*o = -4*d + 42. Calculate the least common multiple of d and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(n) = -8*n**2 + 15*n - 44. Let r(o) = -9*o**2 + 16*o - 46. Let m(h) = -4*j(h) + 3*r(h). Let z be m(4). Which is smaller: 69 or z?\nAnswer: 69","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (49\/14 + 7)*8\/14. Calculate the smallest common multiple of (-5)\/(4 + ((-27)\/u - 0)) and 204.\nAnswer: 1020","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 89\/160 and -23\/355?\nAnswer: 11360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 16 + c + 14*c - 33*c + 0 + 2*c**2 = 0.\nAnswer: 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: 7*0.303\nAnswer: 2.121","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of (35\/28 - 1) + 274\/8 and 67\/10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1705767688 to the nearest integer?\nAnswer: 41301","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 8 + 282?\nAnswer: 301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 3705393018259\/4346364 - -961\/724394. Let o = l - 856756. Let f = -4234 - o. Calculate the common denominator of 85\/22 and f.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 149 + -149. What is the nearest to c in 1, -2\/3, 4?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (2*m**2 + 3*m**2 - 3*m**2)*(6*m**2 - 2*m**2 + 2*m**2) in the form c*m**3 + y*m**2 + u*m + g*m**4 + b and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 16*z**3 + 3*z**2 - 12*z**2 - 17*z**3 + 9*z**2.\nAnswer: -z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from oqowllwwoow. What is prob of sequence ql?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Does 7625 divide 182817775?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let m(x) = x**3 - x**2. Let l(u) = -6*u**3 + 7*u**2 - 2*u. Calculate -2*l(y) - 14*m(y).\nAnswer: -2*y**3 + 4*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3 + sqrt(1088) + 1 + 4.\nAnswer: 2 + 8*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 47 + -45. Let o be 5*(-6)\/(-10)*4. Let h = 0 + o. What is the least common multiple of p and h?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1.3675 rounded to 1 dp?\nAnswer: -1.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -72.362 - -0.362. Let z = 69 + h. Let s = 4 + 0. Which is the biggest value?  (a) z  (b) -2  (c) -2\/3  (d) s\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 117115?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 122285 and 66486685.\nAnswer: 3305","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 59109728 is divided by 132?\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, 5, 4, 80 in increasing order.\nAnswer: -3, 4, 5, 80","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 248.729 - -0.271. Let w = m + -250.27. Let q = w - -1.273. What is q rounded to 2 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(c) = 21*c**2 - 12*c**2 - 6*c**2. Let v = 4 + -2. Let a(t) = -t + t + v*t. Calculate u(a(s)).\nAnswer: 12*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00049062 rounded to four decimal places?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 313 minutes after 2:57 PM?\nAnswer: 8:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 5.3 + -5. Let j = 48 - 43. What is the second biggest value in j, -4, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -1.5 - -1.3. What is the smallest value in f, -0.4, 0, -1\/11?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 102868798 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 5012, 20141, 45362, 80675?\n\"Answer: 5046*o**2 - 9*o - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -166*c - 15*c - 905 = 0 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let s(l) = -6*l - 2. Let x(w) = -w + 1. Give s(v) + 3*x(v).\nAnswer: -9*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: -2213.785+-345.9\nAnswer: -2559.685","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 10240b4 (base 12) in base 5?\nAnswer: 1234101004","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -t - 33 = -3*s + 20, -4*s - 107 = 3*t. Let q = -26 - t. Is q a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(135)\/sqrt(3)*-6)**2 + ((sqrt(35) - (sqrt(315) - -2*sqrt(315)))\/sqrt(7))**2)*2.\nAnswer: 3880","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let m(d) be the first derivative of 4*d**3\/3 + 2. Let f(h) be the first derivative of -2*h**3\/3 + 2. Determine f(m(i)).\nAnswer: -32*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -17676, -35352, -53030, -70710, -88392?\n\"Answer: -t**2 - 17673*t - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z(b) = -7*b**3 + 3*b**2 + 44*b + 167. What is the remainder when z(-5) is divided by 21?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -817, -1640, -2465, -3292, -4121, -4952?\nAnswer: -5785","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -9\/287 + 31\/1435. Which is greater: k or -1?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -16 - -26. Calculate the remainder when 29*(-2 - -1*3) is divided by f.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-69)\/(2484\/6300))\/5?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence kk when two letters picked without replacement from {k: 9, h: 3, n: 7}.\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {i: 1, a: 1, f: 2}. What is prob of picking 2 f?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is -1317692 divided by -7661?\nAnswer: 172","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let g(i) be the third derivative of i**6\/780 + 149*i**5\/390 + 21*i**2 - 3. Factor g(t).\nAnswer: 2*t**2*(t + 149)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 206*o**3\/17 + 21154*o**2\/17 - 94760*o\/17 + 27392\/17 = 0. What is o?\nAnswer: -107, 32\/103, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 605 a factor of 289049111?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 1.9 + -0.9. Let f = -71\/715 + -3\/55. Which is the nearest to d?  (a) f  (b) -0.5  (c) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 6 + -12 - -9 - 9 - (0 - -5)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -242 - -273. Let t(z) = -36*z + 68*z - y*z. Determine t(-8).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(g) = -57 + 7*g**2 - g**3 + 18 - 7*g + 20 + 25 + 4. Determine w(4).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 840 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 10 and 250?\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(612)*-1 + 4)*-4)**2 + 0.\nAnswer: -768*sqrt(17) + 10048","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let z(m) = 2*m**3 - 69*m**2 - 111*m + 112. Calculate z(36).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:55 AM and 8:46 AM?\nAnswer: 171","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let v(d) be the third derivative of -d**4\/24 + 17*d**3\/6 + 32*d**2. Let o(g) = -g**3 - g**2 + 8. Let a be o(0). Let f be v(a). Solve 0 = -0*w + 3*w + f for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 786 a factor of 812551607?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, 10, -441, 0, -14 in decreasing order.\nAnswer: 10, 1, 0, -14, -441","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -25838314 + 25838314 - 6*u**3.\nAnswer: -6*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let z(m) be the third derivative of 1\/6*m**4 + 206*m**2 + 0*m - 8\/3*m**3 + 0 - 1\/30*m**6 + 4\/15*m**5. Let z(q) = 0. Calculate q.\nAnswer: -1, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 9246*f = 9208*f - 190 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 2575422 divided by 286158?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Does 8 divide 90148?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*q**2 + 1528*q - 145924.\nAnswer: -4*(q - 191)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand (15*y**2 - 73*y + 73*y)*(-3*y**2 + 2*y**2 - 2*y**2).\nAnswer: -45*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0018785505 to five decimal places.\nAnswer: 0.00188","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is c in -5*c**5 - 19365*c**4 + 38775*c**3 + 96845*c**2 - 116250*c = 0?\nAnswer: -3875, -2, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Sort -6, -0.3, 13, -4, -3 in descending order.\nAnswer: 13, -0.3, -3, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 60324900 a multiple of 3812?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 2 + (-3 - (-3 - 9)) + 2 - 51?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -2 - -5. Suppose 6 = -4*h + r*z + 2*z, -4*h = 4*z + 24. Let k = -1 + h. Let d(a) = 2*a + 5. Give d(k).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 + 6 = 2*y. Solve -g = -4*u + 15, 3*u + y*g = 6*g for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -9 - -4?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let q(p) = 2*p. Let a(l) = 16*l. Let k(r) = -8*r. Let y(z) = -8*z. Let v(m) = 4*k(m) - 3*y(m). Let b(f) = -4*a(f) - 7*v(f). What is b(q(o))?\nAnswer: -16*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let x(r) = r. Let y(n) = 4*n - 1. Suppose 3*w + 2*o - 2 = 1, 0 = 2*w - o - 2. What is w*y(f) - 6*x(f)?\nAnswer: -2*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 344817 + -3442143\/10. Suppose -3*w + 1074 + 717 = 0. Let x = v - w. Find the common denominator of -32\/7 and x.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(g) = -22651*g**2 - 6. Let p(q) = 89*q. Calculate p(y(f)).\nAnswer: -2015939*f**2 - 534","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 16 and 1110596?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -11 - -38. Let x = 26.6 - d. Which is the smallest value?  (a) x  (b) -0.1  (c) 1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -6423257 - 237.\nAnswer: -6423494","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -9 + ((-197400)\/(-1457))\/15?\nAnswer: 1\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Total of 0.06 and 0.0039481.\nAnswer: 0.0639481","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let w be -27*(-24)\/(48\/6). Let p(a) = -w*a + 166*a - 84*a. Let z(r) = 24*r**2. Give z(p(j)).\nAnswer: 24*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(80) + 2 - sqrt(60)\/(-1*sqrt(12)))*-3.\nAnswer: -15*sqrt(5) - 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -8 - -14. Suppose 0 - d = -2*l. Let n(p) = 102*p - 507. Let v be n(5). Solve -5*u = 5*y + 5, v*y - u - 2*u = -l for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(d) = 22*d + 187. Let l(c) = -15*c - 126. Let b(w) = 7*l(w) + 5*s(w). Give b(-11).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 521 and 7559189?\nAnswer: 521","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -6  (b) 1\/3  (c) 27\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(190) - -6*1*sqrt(190)) + sqrt(190) + 5*((-2*sqrt(190) - sqrt(190)) + sqrt(190)))\/(sqrt(360)*-2*2))**2.\nAnswer: 19\/144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2 + 1 + -2 + 3 + 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 18836.3 years in months?\nAnswer: 226035.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a(i) be the first derivative of i**3\/18 - i**2\/12 - 2. What is r in a(r) = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15 = 5*b + 5. Suppose 2*i + 12 = -l - 4*l, 0 = -2*l + b*i - 16. Let o(f) = 13*f**2 + 9*f + 16. What is the tens digit of o(l)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -209 * 3.\nAnswer: -627","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 0.09 - -7.91. Let o = 19.5027257 - 27.5027266. Let s = o + w. What is s rounded to seven dps?\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 211.6377 months in millennia?\nAnswer: 0.017636475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert 25.94915 decades to millennia.\nAnswer: 0.2594915","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1?  (a) 3.7  (b) 2  (c) -58\/9  (d) 12\/19\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 94*s**2*z**2 + 48*s**2*z + 15*s**2 wrt z?\nAnswer: 188*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*o - 3*r + 32 = -5*o, 5*r + 108 = 2*o. Suppose 3*c + o = -8*c. Let n(a) = -2*a**2 - 1. Let z(v) = 4*v**2 + 3. Calculate c*z(f) - 9*n(f).\nAnswer: 2*f**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let u(v) be the second derivative of v**4\/6 - 7*v**3\/6 - 2*v**2 + 10*v - 1. Let r(p) = p**2 - 4*p - 2. Calculate 7*r(o) - 4*u(o).\nAnswer: -o**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 3629 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1473*d - 46725 = 375*d - 14883 for d.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 4359 or 17437\/4?\nAnswer: 4359","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2467*q**2 + 832*q**2 + 822*q**2 + 823*q**2.\nAnswer: 10*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.02, -1\/3, 0, -80 in decreasing order.\nAnswer: 0.02, 0, -1\/3, -80","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1*sqrt(1573) + 0 + sqrt(13) + 2 - (-3*sqrt(1573) + -5 - sqrt(1573)).\nAnswer: 7 + 56*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let b(p) = -30*p. Let g(v) = 182*v. Let u(h) = 6*b(h) + g(h). Let l(f) = 1483*f - 1. Give u(l(o)).\nAnswer: 2966*o - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 34845893?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in three fifths of a hour?\nAnswer: 2160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: 4878.51 times 0.5\nAnswer: 2439.255","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5*m + m**2 + 41*m**2 + 2 + 4*m**2 - 2*m.\nAnswer: 46*m**2 - 7*m + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 175\/(-140) - 18\/(-8). Let z(u) = 660*u**3 - u**2 + 10*u - 10. What is the tens digit of z(d)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: (10\/8)\/(12\/(-48))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 48852 and 1246788?\nAnswer: 28676124","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3387 is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 104623?\nAnswer: 104623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let p(o) = 2*o - 1. Let g be (32\/(-4) - 50\/(-10))\/3. Let r(z) be the second derivative of z**3\/6 + 2*z. What is g*p(d) + r(d)?\nAnswer: -d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-h + 2*h + h)*(2 - 1 + 2) + 2*h - 2*h + h.\nAnswer: 7*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 13240 to the power of 1\/2, to the nearest integer?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let h(u) = -196*u - 7442. Determine h(-38).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.101144153 to two decimal places.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 9*-2*10\/(-15). Suppose 0 = q + q - b. What is the lowest common multiple of q and -3 + (-3 - -3) - -4?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*k + 16 - 55. Let x(l) = l**2 + 4*l - 4. Let s be x(3). Let q = s - k. Is q a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(j) = j**3 + 10*j**2 + j - 15. List the prime factors of s(-8).\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*w - 2 = 2. Suppose 0 = 4*y - 7 - 1. What is the units digit of (y - -2*7)*w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -0.02480626 - -0.0248. Round t to 6 dps.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -11 + 33. Let o = -7 - -11. Suppose 2*i + 24 = o*i. What is the remainder when c is divided by i?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 48117.\nAnswer: 3, 43, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 16899079?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*a + 5*a - 2 = 0. Let h(i) = 13*i - 63. Let n be h(5). Which is smaller: a or n?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 85.86615 - -0.13385. Which is the third biggest value?  (a) 1.5  (b) -4  (c) -3  (d) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n\/(n\/n**(-10)))\/(n\/n**(1\/29)) assuming n is positive.\nAnswer: n**(-318\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.01356125 rounded to five dps?\nAnswer: 0.01356","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 6203\/5 or 1240?\nAnswer: 6203\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -9343, -35202, -78299, -138634?\n\"Answer: -8619*v**2 - 2*v - 722","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*l = 5*l + 201. Suppose -5*o - 290 = -2*x - 115, -3*x + 4*o = -259. Let v = x + l. Is v a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -376589, -373958, -371327, -368696, -366065?\nAnswer: -363434","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:06 AM and 8:32 AM?\nAnswer: 266","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*j = 3*h + 19, -30*j - 2*h = -32*j - 6 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is three fifths of a kilometer in centimeters?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*h = -3*h - 8. Suppose -15 = -2*g - 3*g. Solve 3 = -g*x + h*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 9*a**2 - 28*a**3 - 4*a**2 + 26*a**3 - 2*a**4 + 7 + a to the form b*a + j*a**2 + o*a**3 + m + q*a**4 and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -943*m + 14977*m + 17519*m.\nAnswer: 31553*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 1819400 and 114400.\nAnswer: 2200","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (83*n - 12*n - 1 - 48*n)*(-1 + 2 + 1).\nAnswer: 46*n - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let b(t) = t. Let o(p) = -209408*p. What is o(b(x))?\nAnswer: -209408*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 332 times 1033597?\nAnswer: 343154204","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let z(u) be the second derivative of -31\/6*u**3 + 0 + 0*u**5 + 0*u**2 - 1\/7*u**7 - 114*u - 1\/12*u**4 + 0*u**6. What is the second derivative of z(v) wrt v?\nAnswer: -120*v**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(u) = 6*u + 19. Let q be a(-2). Find t, given that 7 + 4*t - q - 10 + t**2 + 5 = 0.\nAnswer: -5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1439 is divided by 45.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 135\/5 + 2 + -1. Suppose -k + 16 = -u, -2*k + 0*k + w = -u. Calculate the remainder when 22 is divided by k.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: -304 divided by -16\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is -206 (base 8) in base 13?\nAnswer: -a4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {i: 2, d: 2, g: 8, z: 3}. What is prob of picking 2 i and 2 d?\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 16470 and 8934670.\nAnswer: 610","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 222, 233, 256, 291, 338?\n\"Answer: 6*d**2 - 7*d + 223","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x(h) = 14 - 85*h**2 + 0*h**3 + h**3 - 103*h**2 + 192*h**2 + 3*h. What is x(-6)?\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 119 a factor of 35700?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -197*z = -189*z. Is 3\/1606 at most as big as z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1 times -173014\nAnswer: -173014","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 29 - 17. Suppose -2*h = 2*g - w, 0 = -6*g + 5*g + 4. What is h rounded to the nearest ten?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*l + 264434 = 16*l + 65774. What are the prime factors of l?\nAnswer: 2, 5, 11, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence axxa when four letters picked without replacement from aaaaxax.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 203889 is divided by 16829?\nAnswer: 1941","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 + 4 - 2)*(-4*q - 3*q + 4*q)*(3 - 3 - 8*q)*(-3 + 2*q + 2 - 6*q).\nAnswer: -480*q**3 - 120*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 6 and 15498.\nAnswer: 15498","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -81\/22540 and -43\/63112.\nAnswer: 315560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Round -8.970721875 to 3 dps.\nAnswer: -8.971","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (2 - 2)\/1 + 40. Suppose -3*g + x = 2*g. What is the remainder when 22 is divided by g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0 or 2\/2779327?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -27, -23, -19?\n\"Answer: 4*y - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is -606 != -608?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Sort 11, -20, -11\/3, -0.004, 1.9.\nAnswer: -20, -11\/3, -0.004, 1.9, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 948 is divided by 207?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -3 - -6. Suppose -q*n + 13 = -8. Suppose n = k - 4. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:42 PM and 11:33 PM?\nAnswer: 591","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (4 - 6\/(-252)*-161)\/(1\/(-4)).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*a - 3*a + 2*a)*(-45 - 317*a**3 + 45 - 88*a**3).\nAnswer: 405*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 3279536 and 8528.\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 50693.\nAnswer: 163, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Express (256 - 256 + 177*h)*(-h**3 + 0*h**3 + 0*h**3) as z*h**2 + q*h**4 + l*h**3 + y + p*h and give q.\nAnswer: -177","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Round -278609120 to the nearest one million.\nAnswer: -279000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let n(j) = -771*j - 8. Let f be n(-3). Let i be f\/4*(-132)\/121. Let m = i + 628. Which is bigger: m or -2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(o) = -o**3 + 7*o**2 - 8*o - 13. Let y be v(5). What is the smallest value in 2, y, 15?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -20.38 + 21. Let x = 7.62 - p. Which is the closest to -1\/4?  (a) -2\/11  (b) x  (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 115139 + 17723 = 102*b - 468224. Is b a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -957 + 953. Let h(a) = 4*a**3 - 2*a**2 + 5*a + 5. Let l(b) = -5*b**3 + 2*b**2 - 5*b - 6. Let p(w) = 6*h(w) + 5*l(w). What is p(f)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 185483 to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*m - 780 = -3*k, 2*k - 5*m - 1549 + 1079 = 0. Calculate the highest common factor of k and 18.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 1196.7 - 1196.2. Which is the third biggest value?  (a) k  (b) 5  (c) 885\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -5?  (a) 4\/5  (b) -0.5  (c) 0.06  (d) 142\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 5272922 to the power of 1\/8, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let k(u) = -32. Let t(c) = c + 113. Determine 5*k(n) - t(n).\nAnswer: -n - 273","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -12*h - 9*h**2 - h**2 - 6*h**2 - 2*h**2 + 62*h**3.\nAnswer: 62*h**3 - 18*h**2 - 12*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*m**2\/9 + 20*m\/9 + 50\/9.\nAnswer: 2*(m + 5)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*g + 3*v + 22 = 0, g = -6*v + v for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from earload. What is prob of sequence dra?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000005951 rounded to six dps?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let u(b) = 3*b**2 - 36*b. Let t(v) = 7*v - 86. Let r be t(14). Let j be u(r). Solve -5*y = 3*x - 22, j = -3*x + 3*y - 3 - 15 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(t) be the first derivative of 0*t - 3\/2*t**2 - 1. Let s(d) = d**2. Give g(s(c)).\nAnswer: -3*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 5374.90221 + -4560.902856. Let f = 814 - z. What is f rounded to four dps?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 7.237 + -7.437. Let j = -7.56 + -1.14. What is the third biggest value in j, c, 5?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -104005*i**5*l**2 - 10*i**2*l + 213*l**2 wrt i.\nAnswer: -6240300*i**2*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 8539*l**4 - 2*l**2 - 81*l - 78?\nAnswer: 204936*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 55960957 to the nearest integer?\nAnswer: 382","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose x = 4*c - 3*c - 1, 4*c = 5*x + 3. What is the smallest common multiple of -4 + 1 + 44 + x and 8?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(d) = 57*d + 5187. Calculate the remainder when c(-84) is divided by 396.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 10408 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*y - 90 = -22. Suppose p = -2*p - 4*r + 37, 5*r + y = 2*p. Suppose 3*b + 4 = -p. Put 3, b, -1 in descending order.\nAnswer: 3, -1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*o + 71 = -5*v, -37 = -o + 2*v + 3*v. What are the prime factors of o?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1144 = -95*w + 4 for w.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -1028*y**5 + 531*y**2 wrt y.\nAnswer: -61680*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let j(l) be the second derivative of -8*l - l**5 + 16\/3*l**3 - 7\/3*l**4 + 0 + 8*l**2. Factor j(n).\nAnswer: -4*(n - 1)*(n + 2)*(5*n + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 294367 is divided by 282?\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2 + (2 + 712 - (-14 - -17)).\nAnswer: 23, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be ((-4)\/3)\/(20\/150). Let v = q + 21. Let h = v + 5. What is the units digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 15358\/307 or 49?\nAnswer: 49","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*p + 0*p + 4*p)*((-4 + 2 + 0)*(2*p + 1 - 1) + p - 6*p + 2*p + (3 - 1 - 4)*(1 + p - 1) + 5*p - 2*p - 4*p + 3*p + p - 7*p).\nAnswer: -78*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (12312\/270)\/19*30\/9.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1809.\nAnswer: 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -202*r**3 + 68*r**2 - 26*r - 902760 wrt r.\nAnswer: -606*r**2 + 136*r - 26","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -35 - (-12 + (-13 - (11 + -4 - 18))).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j(u) = -u**3 - 3*u**2 + 3*u - 5. Let y be j(-4). Let m be 1\/y*(5 - 0). Let l = 18 - m. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: 36843 divided by -32\nAnswer: -36843\/32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let x be ((-5)\/(-60))\/(1*1\/(-2)). Which is the nearest to x?  (a) 2\/5  (b) 3  (c) 0.5  (d) 4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 22*r + 8*r - 56*r + 23*r.\nAnswer: -3*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-1)\/((-238)\/(-35) + -7). Let b be -5*(21\/15 + -1). Let k be (2\/b*6)\/(-2). Solve -k = -g*c - 13 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -590*q**4 + 23550*q**3 - 12128374*q**2.\nAnswer: -14160*q + 141300","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 38c72a - 25?\nAnswer: 38c705","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let s(h) = h**3 - 14*h**2 + 13*h. Let k be s(13). Is k at most as big as 5\/17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 4376, 4359, 4332, 4295, 4248?\nAnswer: 4191","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from sysaswsyes. What is prob of picking 1 y, 1 e, and 1 w?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 10 + -10. Suppose 2*z - 149 = -4*y - 3*z, -4*y + z + 143 = b. Let a = 64 - y. Calculate the remainder when a is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(2) + (sqrt(2) + -1)*5 + -2*sqrt(2) + 2 + -4 + (-1*sqrt(12)\/sqrt(6) - (sqrt(14)\/sqrt(7)*3 - sqrt(2))) + 0)**2 + -4.\nAnswer: -14*sqrt(2) + 47","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7663220*x**5 - 5027158980*x**4 - 56849205*x**3 - 160720*x**2 = 0. Calculate x.\nAnswer: -656, -7\/1238, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -5223 + 41575. What is the units digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose b = u + 14, 2*b - 3 = 4*u + 33. Let p be (-4)\/(-4)*b\/4. Let a = 9 + -13. What is the third biggest value in p, a, -2\/9?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.2543504 litres in millilitres?\nAnswer: 254.3504","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {b: 3, j: 11}. Give prob of sequence jb.\nAnswer: 33\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 613?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 79732 is divided by 1095?\nAnswer: 892","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose n + 582 = 7*n. Let y = 25 + 24. What is the remainder when n is divided by y?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:28 PM and 3:28 AM?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 63 a factor of 1827?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is -3336043399 + 0.06?\nAnswer: -3336043398.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 204 minutes after 10:54 AM?\nAnswer: 2:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let t(d) = -2*d + 3. Let w(p) = -1. Suppose -5*j = -3*q + 14, -10 = 4*j - 8*q + 5*q. Calculate j*w(z) - 2*t(z).\nAnswer: 4*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let t(l) = 4*l**2 + 18*l + 20. Let h be t(-10). Let r = -399 + 278. Let y = r + h. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: -160 (base 7) to base 14\nAnswer: -67","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence iij when three letters picked without replacement from jxxjqqiqijq?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -930, -932, -930, -924, -914, -900?\n\"Answer: 2*l**2 - 8*l - 924","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0*p**2 - 1139 - 6*p**2 + 9*p**2 + 1139.\nAnswer: 3*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from nfngbbnfubnubnuu. What is prob of sequence ng?\nAnswer: 1\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*v - 52 = -2*v + 2*r, -5*v + 4*r + 125 = 0. Suppose 0 = -2*m + 7 + v. Suppose -2*o - 6 = -m. Solve 0*l + l + o = 0 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1498?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve l = -4*x, -76*x - 2 = -75*x for l.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 891.5 + -891. Which is greater: b or -33?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -10\/9, -698, 2, 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 1551, 3157, 4891, 6819, 9007, 11521?\n\"Answer: 11*o**3 - 2*o**2 + 1535*o + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c(k) = -k + 62. Calculate the remainder when c(26) is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(i) = i**2 + 3*i + 2. Give v(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 845*q + 4423 = -733 + 86 for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 2 + 1320?\nAnswer: 1322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand (320874 + 682*l - 320874)*(2*l - 4*l + 0*l).\nAnswer: -1364*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -3410041 + 3?\nAnswer: -3410033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (3 - -26 - 75) + 38.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (5\/5)\/20*2. Let s = x - -7\/30. Which is the biggest value?  (a) 5  (b) s  (c) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 0.08  (b) -173  (c) 96  (d) 1  (e) 2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -g**4 - 2*g**4 + 36*g - g**3 + g**2 - 35*g to the form a*g + i*g**3 + b + o*g**2 + l*g**4 and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -4054, -8113, -12172, -16231, -20290?\nAnswer: -24349","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 5 + (2 - 0 - 3). Suppose h - 3*h = -2*x - 26, q*h + 3*x - 31 = 0. Suppose 0 = -4*v + 38 + h. List the prime factors of v.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2467842 is divided by 124?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 57 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -1010010101 (base 2) in base 16?\nAnswer: -295","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -1016  (b) -1\/3  (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let l(p) be the second derivative of 5*p**3\/6 - 9*p**2\/2 + 24*p. Let n(z) = -2*z + 4. Give 6*l(m) + 14*n(m).\nAnswer: 2*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let p(y) = y**3 + 46*y**2 - y + 21. Is p(-41) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4*(sqrt(147) + 0 + sqrt(147) + sqrt(147)))**2.\nAnswer: 21168","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the billions digit of 1905105227?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let c(h) = -6*h. Let w(n) = 130528700*n**2. What is c(w(p))?\nAnswer: -783172200*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1 or -5\/353?\nAnswer: -5\/353","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -2167673 (base 8) in base 13?\nAnswer: -176759","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r be -9*(0 - (-4)\/(-12)). Suppose 2*s = -7*d + 3*d + 16, 0 = -s + r*d - 7. Let b = 10 - s. What is the greatest common divisor of 12 and b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 u and 2 l when four letters picked without replacement from {l: 3, u: 7}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: 1 + (7 + -4 - 1) + -1\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 150230 divided by -5?\nAnswer: -30046","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 968 + -568. List the prime factors of t.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 8\/(-24) - 21901\/(-3). Let j = 350327\/48 - b. Calculate the common denominator of -101\/36 and j.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 5\/12 and -9\/5689174.\nAnswer: 34135044","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-1130127)\/24*(-12)\/33. Let q = -17119 + x. Calculate the common denominator of q and -73\/54.\nAnswer: 594","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 6\/25 of a kilometer in meters?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z(w) be the third derivative of -71*w**6\/120 + w**5\/15 + 863*w**4\/24 - 595*w**2. Find the second derivative of z(u) wrt u.\nAnswer: -426*u + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*r**3 + 17*r**3 + 28199*r**4 - 28195*r**4 + (-10*r + 3*r - 15*r)*(3*r**3 - 2*r**3 + r**3).\nAnswer: -40*r**4 + 15*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Convert 4 (base 15) to base 2.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 1275\/14 + -91. Let p = 11\/42 + o. Let s be ((-21)\/196)\/(99\/264). What is the nearest to p in s, -0.4, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5*(-2 + sqrt(684) + 4 + (sqrt(209)\/sqrt(99) - (sqrt(19) - sqrt(19)*2)*-6) + 5)*6.\nAnswer: -210 - 10*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Round 453484 to the nearest 100000.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.000860558 to 6 decimal places.\nAnswer: -0.000861","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 29\/1590 and -43\/18.\nAnswer: 4770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 277811537?\nAnswer: 3643, 76259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*l = -22 + 206. List the prime factors of l.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 41 - 39. Factor -136*h + 51*h - 5*h**3 - 19*h**y + 40 + 69*h**2.\nAnswer: -5*(h - 8)*(h - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 0 or -3\/4425215?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 8 + -5. Let o be (0*13\/(-143))\/(-4). Suppose o = f*t - 51 + 42. Solve t*w - 1 + 7 = 0 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 r when two letters picked without replacement from {r: 5}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (18\/36)\/(-2 + 3). Factor -1\/2*h**4 + 0*h + 0*h**3 + 0 + t*h**2.\nAnswer: -h**2*(h - 1)*(h + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1293227178 a multiple of 327?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -41, -182, -435, -806, -1301?\nAnswer: -1926","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q(d) = 7*d + 7. Let o = -109 + 115. What is q(o)?\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(f) = -4*f**2 - 2. What is j(-2)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-10)\/18 + 3\/9. Let d = 12577 - 12575. Let r = -3 + 2. Put d, a, r in ascending order.\nAnswer: r, a, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -19 + ((14 - 7) + -22 - -29) - (-25 + -3).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 56 minutes before 9:01 PM?\nAnswer: 8:05 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 ooooooooooooohooooo?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -3 - -3. Suppose -10 = -5*u - y. Solve 5*v - 15 = 0, -3*v + 6 = h + u*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 15619, 15615, 15611, 15607, 15603, 15599?\nAnswer: 15595","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v(c) = -579*c + 287*c - 5 + 287*c. Let y be (2\/3)\/(16\/24). Let h(p) = p + 1. Determine y*v(i) + 3*h(i).\nAnswer: -2*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -2 - -14. Let d be ((-1)\/(-2))\/(9\/b). Let r = -5.81 - -6.11. What is the closest to 1 in r, -0.3, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -14, -16, -20, -26?\n\"Answer: -j**2 + j - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 24239027?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 9 - 9.1. Let c = 0.1 - t. Let k be (1 - -2)\/((-9)\/(-2)). What is the second biggest value in -0.2, c, k?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 35346 is divided by 479.\nAnswer: 379","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 738759?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p**(-2)*p*p*p**(-3))\/((p**5*p)\/p**(-4\/5))*(p**(-1\/4)\/p**(-1))\/(p**0)**(-50) assuming p is positive.\nAnswer: p**(-181\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -28 + 57. Is 29 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 271146?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 20 minutes before 5:13 AM?\nAnswer: 4:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {p: 6, o: 1, i: 1, h: 3, v: 1}. Give prob of picking 1 v and 1 i.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 6 - -a?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-95 + 92)\/(15 + -2) + ((-1506)\/(-2288))\/3?\nAnswer: -1\/88","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Determine q, given that 1275\/2 + 81\/2*q**2 + 585\/2*q + 3\/2*q**3 = 0.\nAnswer: -17, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 52421947 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let k(q) = -q**3 + q**2 + q - 2. Let r be k(0). Suppose 2*u = -u. Suppose 0 = 3*g - 5 - 1. Sort g, u, r in decreasing order.\nAnswer: g, u, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -82 = 183*t - 205*t + 204 for t.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-11)\/(715\/16) - 4\/(-10).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many centuries are there in 0.454998 millennia?\nAnswer: 4.54998","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -316*t + 49 = 12373 for t.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 50 and -76699.\nAnswer: -3834950","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -1294746*c**2 + c - 30720109.\nAnswer: -2589492*c + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-9)\/(-6))\/((-126)\/336).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be ((-703)\/57)\/(2\/(-18)). Let y be (2 + -3 - 2) + a\/21. Solve -24\/7*m + 12\/7*m**2 + y - 2\/7*m**3 = 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-364*j**2 + 364*j**2 - 8*j**3 + 1)*(0*j - 3*j + 4*j) in the form o*j**4 + i*j**2 + a + q*j**3 + c*j and give o.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -4169, -4205, -4257, -4325, -4409, -4509, -4625?\n\"Answer: -8*r**2 - 12*r - 4149","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: -100001111 (base 2) to base 12\nAnswer: -1a7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: ((-9)\/(-3))\/(90\/(-15))\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from fffzfzffzddfz. Give prob of sequence fdf.\nAnswer: 7\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -824*p**3 + 60764*p - 60764*p.\nAnswer: -824*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*j = -j - 3*g + 13, 5*g = -j + 17. Suppose -87 = -5*a - j. Let s = 26 - a. What are the prime factors of s?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: -15 - (-14 - (-12 - -7))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -4 - -8521212?\nAnswer: 8521208","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 11\/2 of a milligram in micrograms?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l(g) = -7*g**2. Let u(m) be the third derivative of -m**5\/6 - 734*m**2. Determine u(l(j)).\nAnswer: -490*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-68)\/(-4) + -4 + -2 + -1.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(w) = 5*w**2 + 104*w - 290. Calculate g(-29).\nAnswer: 899","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1 in 4\/3, -20\/11, -4, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-10)\/30*6\/(-16). What is the closest to 0.1 in 3, q, 2\/7?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence xx when two letters picked without replacement from {x: 4, t: 1, y: 2}.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 62 is divided by 32.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*h = -2*h + 5*b + 21, 24 = -5*h - 3*b. Let c(o) be the first derivative of -10*o**2 - 3*o + 1. Does 19 divide c(h)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1067.26 rounded to the nearest 100?\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 124 - 122. Suppose -x - 65 = -g*j, 2*j - 2*x - x - 67 = 0. What is the greatest common divisor of 4 and j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 37251779 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 29\/350 and -89\/3150.\nAnswer: 3150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let n(b) = 6*b - 410. Let w be n(67). What is the nearest to w in 1\/5, 2, -42?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -42 = 29*d - 36*d for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let k(b) = 8*b**3 - 2*b**2 + 8*b + 2. Let g(s) = 17*s**3 - 5*s**2 + 16*s + 5. Let u(h) = 2*g(h) - 5*k(h). Find the second derivative of u(l) wrt l.\nAnswer: -36*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 159 - 107. Let g = s + 1. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -1 + -286?\nAnswer: -287","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 2795529?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 185 minutes after 12:50 AM?\nAnswer: 3:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*c + c - 4*c)*((3*c + 4*c - 4*c)*(8 + 0 - 1) + 0*c - c - 3*c)*(-2*c - 4*c + 0*c).\nAnswer: 306*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 29591 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify l**(-5\/3)\/((l**(2\/121)*l)\/l)*(l**7\/l)\/(l\/((l*l**(-15\/2)\/l)\/l)) assuming l is positive.\nAnswer: l**(-3763\/726)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Does 12 divide 740151983?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 493602, 1974519, 4442718, 7898199?\n\"Answer: 493641*u**2 - 6*u - 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h(x) = -x - 2. Suppose 54 = 2*z + 60. Let y(f) be the third derivative of -f**4\/12 - f**3\/2 - 3*f**2. What is z*y(g) + 5*h(g)?\nAnswer: g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {k: 2, q: 1, n: 2, t: 1, g: 1}. What is prob of picking 1 g and 2 k?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 v and 1 z when two letters picked without replacement from vjintjz.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 4 - 1 - 1 - -1. Let m = 66 - 44. Suppose l + m = 12*l. Solve y = -s + 6, 2*s = l*y - 5 - h for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 408 minutes before 8:12 PM?\nAnswer: 1:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4 + -14 + -13 + 0 + 24.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 179*g - 13318 - 850 = 152 for g.\nAnswer: 80","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -30.62503 + 30.69402985. Let d = -0.069 + k. What is d rounded to 7 dps?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 385557421 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3.7*-31.\nAnswer: 114.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 1\/4 of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f(u) be the third derivative of u**5\/60 - 5*u**4\/12 + 19*u**3\/6 + 3*u**2. Let k be f(8). Let j be k\/12 + 28400001\/(-4). Round j to the nearest one million.\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(v) = 3*v**3 + 39*v + 10. Let u(n) = 2*n**3 + 39*n + 12. Let c(y) = 5*u(y) - 6*w(y). Find the second derivative of c(h) wrt h.\nAnswer: -48*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(q) = -65*q. Let h(l) = -3*l. Calculate h(k(z)).\nAnswer: 195*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*w + w + 3*w - 9792924 = 0. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of ((-5)\/(-15) - 125\/(-3)) + 3?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3685374 divided by -99?\nAnswer: -37226","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:58 PM and 8:30 AM?\nAnswer: 572","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -8 - -8.2. Let v = -2.8 - 1. Let r = v + 0.8. Is r equal to n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 16\/112 + (0 - (-564)\/(-28)). Let r(u) = 3*u + 18. What is r(v)?\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -r**6 - r**5 + 79769*r**3 + 248*r**2 - 3*r - 291.\nAnswer: -120*r**3 - 60*r**2 + 478614","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 3975 - 3976. Which is the nearest to -46?  (a) -0.05  (b) -0.5  (c) s  (d) 1\/10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(637) + sqrt(637) + 1*sqrt(637) + -5 - 5*(-4 + (sqrt(13) - sqrt(52))))**2 + 2 + 0.\nAnswer: 780*sqrt(13) + 9015","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c\/(c*c*c\/((c*c*c**(10\/11)*c)\/c)))**(-31)\/((c*c**18*c*c)\/c)**(-3\/10) assuming c is positive.\nAnswer: c**(-244\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.1*-2181345.\nAnswer: 218134.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 25*l**2 - 3*l**4 - 3*l**4 + 8*l**3 - 3*l**4 - l**4 wrt l.\nAnswer: -240*l + 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -737 (base 10) to base 4\nAnswer: -23201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m(o) = o - 13. Let q be m(-9). Let w(j) = -j**3 - 23*j**2 - 28*j - 44. List the prime factors of w(q).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -357*x + 317*x + 205760. Is x a multiple of 42?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -4, 335330, 2\/5, -7\/3?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let x(j) = j**2 + 8*j + 4. Let l(a) be the second derivative of a**4\/6 + 17*a**3\/6 + 9*a**2\/2 + 34*a. Give 6*l(f) - 13*x(f).\nAnswer: -f**2 - 2*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Are -169820 and -169823 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 2\/17, 1\/7, -0.2, 27\/8?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -11 + 20. Let s = 3 - l. Let d(b) = -1. Let g(m) = 4*m + 5. Let a(q) = q - 1. Let w(z) = -2*a(z) + g(z). What is s*d(o) - w(o)?\nAnswer: -2*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: -122.24*5.1\nAnswer: -623.424","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000800586 rounded to 6 decimal places?\nAnswer: 0.000801","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 572374979*g**6 + 37929*g**2 - 933*g wrt g.\nAnswer: 68684997480*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1318 is divided by 329?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 1120517, 2241029, 3361541, 4482053, 5602565?\nAnswer: 6723077","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 2753847\/(-17999) + (-877)\/(-5)?\nAnswer: 112\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*p + 3*q + 75 = 0, -4*p - 4*q + 1801 = 1693 for p.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -4.885 - -4.8845734. What is h rounded to 5 dps?\nAnswer: -0.00043","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(u) be the second derivative of 13*u**4\/12 + 36*u. Let k(b) = -2*b + 10*b - 6*b. Determine v(k(w)).\nAnswer: 52*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 259290 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -29*n + 286 = -3*n. Calculate the highest common factor of 99 and n.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4765628.718 rounded to the nearest one hundred thousand?\nAnswer: 4800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 3021 and 742.\nAnswer: 42294","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 13\/11 and 452\/(-3)*4\/32.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -7.24 + 7.24793. Round n to three dps.\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: (7 + 17 + -10 - 8) + -4\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 33 and 616?\nAnswer: 1848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let h(x) = 4*x + 1. Calculate the least common multiple of h(0) and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(v) = -8*v**2. Let u(o) = -3*o**2. Let l(a) = 4*m(a) - 11*u(a). Let y(w) = 15*w**2. Determine l(y(q)).\nAnswer: 225*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 515?\nAnswer: 5, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Sort -38, -36, 1.\nAnswer: -38, -36, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((y**(-3\/11)*((y**(-1\/5)\/y)\/y*y)\/y)**37)**26 assuming y is positive.\nAnswer: y**(-130832\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: -25 + 7 + -19 + -8 + 12 + -2\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 21\/4 - 11\/2. Which is the fourth biggest value?  (a) z  (b) 0.2  (c) 0.05  (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 9*h - 16*h - 13*a - 265 - 535 = -51*h, 4*h + 2*a = 9*h - 93 for h.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 319 - 187. Let x = o + -31. Does 16 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(t) be the first derivative of -51\/5*t**2 + 867\/5*t + 1\/5*t**3 - 243. Suppose x(q) = 0. Calculate q.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 4824, 4791, 4756, 4719, 4680, 4639?\n\"Answer: -o**2 - 30*o + 4855","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((q\/(q*q\/(q*q\/q**(1\/2)*q)))\/q*q)**5*q**(-5\/3)*q*q*q\/q**(2\/5))\/((((q\/(q*q**(1\/3)*q))\/q)\/q*q)**38*q\/q**8*q**(4\/7)*q*q) assuming q is positive.\nAnswer: q**(7107\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Convert 113144120 (base 5) to base 8.\nAnswer: 1773071","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*q + 5 = -2*t + 6*q, t + q = 5. Let j = 179 + -124. Let l(i) = -10*i + 53 + i - j. What is l(t)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -862, -2052, -4040, -6832, -10434, -14852, -20092?\n\"Answer: -j**3 - 393*j**2 - 4*j - 464","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 j and 2 y when three letters picked without replacement from yuvjfyjvjfij.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1585.\nAnswer: 5, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 18, 66, 148, 264?\n\"Answer: 17*q**2 - 3*q + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is (36\/1440*90)\/((-3)\/28)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(132) + sqrt(132)*-1*-5)\/sqrt(3))\/(sqrt(64)*2 + sqrt(64) - ((sqrt(100) - (sqrt(100) + sqrt(100)*-1)) + sqrt(100) + sqrt(100)))*-5)**2.\nAnswer: 1100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v\/v**4)**(20\/7) assuming v is positive.\nAnswer: v**(-60\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 c and 1 k when two letters picked without replacement from {q: 2, y: 1, k: 3, z: 1, o: 1, c: 3}.\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let o(p) = -3*p**2 - p. Let u(q) = -3*q + 1. Let y be u(-5). Suppose -2 = -3*g - 2. Suppose -v - 1 = 5*r + 25, g = -4*v + 4*r + y. Calculate o(v).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-p + 2*p + 0*p)*(-3514589*p + 32 - 25*p**2 + 3514589*p).\nAnswer: -25*p**3 + 32*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 76048420 to the power of 1\/2, to the nearest integer?\nAnswer: 8721","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -36, -82, -142, -222, -328, -466, -642?\n\"Answer: -u**3 - u**2 - 36*u + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 28\/5979 and 73\/11958.\nAnswer: 11958","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -0.1188 - -81.0388. Let u = n + -81. Which is the third biggest value?  (a) -1  (b) 5  (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 2\/9, 0.2, -1.5858, -5.87?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Convert 79529.44 centuries to decades.\nAnswer: 795294.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -3*f**2 + f - 5*f**2 + 4 - 2 - 2*f**2 to the form p*f + d + o*f**2 and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -246*s + 9762 = -22218 - 1968 for s.\nAnswer: 138","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: ((-34)\/102)\/(-1*(-3)\/21*(-91)\/(-481))\nAnswer: -37\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -8250984 divided by 1?\nAnswer: -8250984","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*f = 2*f + 12. Let t be f\/9 - 40\/6. Let b = t + 13. What is the units digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8 = -5*k + 2. Let h be 1*237*14\/21. What is the third derivative of 158*s**4 - h*s**4 - 2*s**6 - s**k wrt s?\nAnswer: -240*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1068\/(-890)*1\/(-6)\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (6*(sqrt(60) - (sqrt(60) + sqrt(300)\/sqrt(5) + sqrt(60) + sqrt(60)))*3)\/(1*sqrt(108)*3).\nAnswer: -6*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 480020 is divided by 9758.\nAnswer: 1878","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence du when two letters picked without replacement from uayayxd.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) -16  (b) 4\/7  (c) 0.7  (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2253*f + 3958*f + 86954 = 0 for f.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((1485600\/1280)\/(-619))\/(3\/(-8)*(-3)\/9).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -8 - -8.5. What is the second smallest value in -1, -2\/5, p?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -3672 by 2.\nAnswer: -1836","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify l**(-12)\/(l**(-41)*l) assuming l is positive.\nAnswer: l**28","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 1.1 and 0.002?\nAnswer: 0.0022","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 90 and 7?\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: 1.3*0.0146757\nAnswer: 0.01907841","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-2*o - 1 + 1)*(-1 + 5 - 3) + 4*o + 0*o + 0*o to x + m*o and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose l - 3*l + 12 = 0. Suppose -3*p - 6 - l = 0. Let r = p - -8. What is the units digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m**(6\/5)\/(m\/((m\/(m*m*m**(3\/2)*m*m))\/m*m)*m))\/(m**(-2\/7)*m*m*m**(2\/9)*m) assuming m is positive.\nAnswer: m**(-5189\/630)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let s(h) = 2*h. Let x = 4 - 4. Suppose 4*p - 12 + 0 = x. Let l(n) = 10 - p*n - 10. What is l(s(g))?\nAnswer: -6*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 114449 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -206*g - 302*g + 272*g.\nAnswer: -236*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*u - 4*u = 0. Put u, -4, 3 in descending order.\nAnswer: 3, u, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -2190.88772 - 1832.\nAnswer: -4022.88772","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in 26, -267, -72, 3, 0.1, -1\/5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let y be ((-6)\/(-12))\/(2\/(-12)*-3). Is -2\/755 greater than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -6516*n**3 + 4*n + 2818 wrt n?\nAnswer: -39096*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 270 minutes after 2:46 AM?\nAnswer: 7:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3076563907.\nAnswer: 31, 99243997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 0.2 > -844\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of t**4 + 459255*t**3 - 7452*t**2 - 1 wrt t.\nAnswer: 24*t + 2755530","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*w = -5 - 5. Solve 2*j - 26 = -4*l, 4*l + w = -3*j + 34 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(j) = -j**2 + j. Let a(b) = -5*b**2 + 9*b + 3. Give a(m) - 6*p(m).\nAnswer: m**2 + 3*m + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*x - 2*o + 0*o = 3, 2*x - 3*o + 3 = 0. Solve 0 = 2*z - z + x for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 2618 and 1122?\nAnswer: 7854","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 27953736 divided by -84198?\nAnswer: -332","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -2312341, -2312345, -2312349, -2312353?\n\"Answer: -4*t - 2312337","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -6878 and -45240.\nAnswer: 311160720","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2 = 4*a - 54. Calculate the remainder when 168 is divided by a.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: 28\/48*3*1064\/(-266)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ccfc when four letters picked without replacement from {f: 5, c: 15}.\nAnswer: 455\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose l - 9 = 0, 0 = -11*o - 57*l + 52*l + 331. Let v = 141 + -91. Calculate the remainder when v is divided by o.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5*(4 + -2*sqrt(1331)) - 1*-1*sqrt(539)*-5)**2.\nAnswer: -3000*sqrt(11) + 62275","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 w and 1 y when two letters picked without replacement from ybmyyyyhmymwmvymyhyy.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 10920289.\nAnswer: 73, 227, 659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let v(y) = y**3 - 18*y + 3. Give v(-4).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let g(d) = -d + 6. Let x be g(8). What is the units digit of ((-12)\/(-16))\/(x\/(-8))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*h - 3*n + 87, -77 = -5*h + h - n. Suppose 0 = h*i - 20*i + 12. Calculate the highest common divisor of 30 and i.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(f) = -3*f**3 - 3*f + 5. Let x(h) = -6*h**3 + 4*h**2 - 2*h - 1. Let c(d) = d**3 - d**2 + 1. Let y(z) = 4*c(z) + x(z). What is 3*o(g) - 5*y(g)?\nAnswer: g**3 + g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*d + 1 = 5. Suppose -m = -0 + d. Do m and -2 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 l when two letters picked without replacement from {l: 7, q: 1}.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Sort -30, -2\/11, -25.\nAnswer: -30, -25, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 750923?\nAnswer: 151, 4973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let b(j) = -j**2 - 11*j + 4. Let c be b(-11). Suppose -f + 55 = c*f. Is ((671\/2)\/f)\/(1\/22) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 3466 and -3.\nAnswer: -10398","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1377 is divided by 279.\nAnswer: 261","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2\/3 in 0.2, -2.71, 2\/11, 3, -1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 648474\/(-536)*(-4)\/(-918). Let o = k - 7\/1139. Let x = 14389\/90 + -828\/5. What is the common denominator of o and x?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(c) be the second derivative of 0*c**2 + 0*c**3 + 0 - 7*c - 1\/3*c**4. Give f(-1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(r) be the third derivative of -r**6\/120 - r**5\/3 + 3*r**3 - 49*r**2. Let o be l(-20). Calculate the highest common divisor of 117 and o.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2\/1583?  (a) -1013  (b) -15  (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Divide -1 by -2264.\nAnswer: 1\/2264","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let v(n) = -n**3 + 5*n**2 - n + 7. Let r be v(5). Factor 7*u**2 + 0*u**4 + 3*u**4 + 6*u**3 - u**r - u**4 + 2*u.\nAnswer: 2*u*(u + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 39, 30, 13, -18, -69?\nAnswer: -146","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*j + 33 = -5*p + 123, 71 = 3*p + j. Suppose 18*n - 960 = -p*n. What is the remainder when 427 is divided by n?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (3\/(-2))\/(96\/(-8) - -9)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 4119 is divided by 171.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*w = -3 + 3 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 150.76 + -153. Let w = q - -2.24817. What is w rounded to 4 decimal places?\nAnswer: 0.0082","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(b) be the third derivative of -b**7\/2520 + b**6\/144 + b**5\/120 - b**4\/24 - b**2. Let v(g) be the second derivative of t(g). Let q = 89 - 83. What is v(q)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {w: 7, b: 4, j: 2}. What is prob of picking 1 w, 1 j, and 2 b?\nAnswer: 84\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 6 - 6. Suppose b = -0*q - 2*q - 10. Let n = -31836 + 31841. Put 0.5, n, q in decreasing order.\nAnswer: n, 0.5, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -200, -201, -202, -203, -204?\nAnswer: -205","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 56*x + 2391 - 9615 = 0. Solve x*t + 4 = 128*t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 810 and 84.\nAnswer: 11340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 712740140, 712740138, 712740136, 712740134?\nAnswer: 712740132","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b(r) = -r**2 - 9*r - 13. Let g be b(-6). Let x = 6 - 6. Suppose x = -9*l + 6*l + 9. Solve -g*j + 5*o = l*o + 17, -3*o + 3 = 0 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 6053974.29 minutes in weeks?\nAnswer: 600.5926875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 75590761 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 111\/40 and 123\/5150.\nAnswer: 20600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Round -41480594.1 to the nearest 100000.\nAnswer: -41500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*w**3 + w**3 - w**3 + (-w - w**2 + w)*(3*w + w - 5*w) + (6*w**2 + 12*w**3 - 6*w**2)*(3 - 130 + 32).\nAnswer: -1137*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-224)\/(-64) + 1\/2. Suppose 3*d - d - 2*u - 504 = 0, -r*d + 1008 = u. Calculate the least common multiple of d and 8.\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(a) = 8*a + 875 + 778 + 103*a**2 - 1747. Let d(x) = 206*x**2 + 14*x - 189. Let w(v) = -4*d(v) + 7*y(v). What is the first derivative of w(g) wrt g?\nAnswer: -206*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {i: 10}. What is prob of picking 4 i?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -1335 + 1334.9984896. What is f rounded to four decimal places?\nAnswer: -0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: -7 * -0.1626\nAnswer: 1.1382","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in nineteen quarters of a hour?\nAnswer: 285","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 8 + -12. Let r = -23.7 - 3.8. Let z = -27.1 - r. Sort z, -1\/2, g in ascending order.\nAnswer: g, -1\/2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, 5, 9, 0, 25, 4, -2 in ascending order.\nAnswer: -2, 0, 1, 4, 5, 9, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 71\/2 + -34. Suppose -42 = -3*y + 5*x, 79 = 5*y + 5*x + 129. Which is the biggest value?  (a) h  (b) 0.4  (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 66 - 472?\nAnswer: -406","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 0.619 - 0.619463. What is o rounded to five dps?\nAnswer: -0.00046","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: -208 times -77394\nAnswer: 16097952","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -13 - 637585?\nAnswer: -637608","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let t(j) be the second derivative of 2895*j**8\/14 - j**4\/6 + 2*j**3\/3 - 307*j**2\/2 + 29*j - 52. What is the third derivative of t(c) wrt c?\nAnswer: 1389600*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(v) = 2*v + 5. Give k(3).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 924732?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -3559, -7165, -10771, -14377, -17983?\nAnswer: -21589","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose x - 28 = -x - 3*z, 57 = 5*x + z. Suppose 1 = 2*c + x. Let g = 8 + c. Calculate the smallest common multiple of g and 11.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-2)\/36)\/(-61*28\/(-5124))?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Product of -2 and -471675.\nAnswer: 943350","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -280, 232, 1428, 3308, 5872, 9120?\nAnswer: 13052","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 97274 - 63832. Let y = s + -33411.9949. Let p = 30 - y. What is p rounded to three dps?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 i when two letters picked without replacement from iniiwxiin.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 30 - 20. Let o be 3\/(9\/(-12) + 0). Let m be ((-32)\/6)\/(o\/30). What is the greatest common factor of q and m?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(w) = -w**3 - 6*w**2 + w + 7. Let l(c) = c + 1. Let t(p) = -i(p) + 4*l(p). Let o be 1\/(((-2)\/(-15))\/((-4)\/6)). Determine t(o).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -0.3 + 0.3. Let o = 251 - 3261\/13. What is the third smallest value in 3, o, b?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(g) = 7*g - 61. Let y be o(9). Calculate the common denominator of -63\/10 and (4*(-189)\/(-448))\/(y\/(-12)).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: -63 divided by -85\nAnswer: 63\/85","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence bbt when three letters picked without replacement from bttbtttcbttbtt.\nAnswer: 9\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 4 - -6. Suppose -17*w + 2206 = 5*w + 226. What is the greatest common divisor of o and w?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(q) = -8*q**2 - 26 + 0*q**3 + 33 + 8*q - 13 + q**3. Give s(6).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 78 divide 19426546?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: 5 divided by 202963\nAnswer: 5\/202963","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*f + 26 = 2, 4*b + f = 2776. What is the remainder when b is divided by 346?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.2?  (a) -46  (b) -1\/2  (c) 0.4  (d) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 87.20019ml?\nAnswer: 0.08720019","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: -4200 times 46\nAnswer: -193200","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 - 2 + 2)*(-324515*w + 162255*w - 12561 + 162261*w).\nAnswer: -2*w + 25122","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -268 + -44. Let w = 1713 + d. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be -13 + 27 + (-196)\/14. Suppose 4*g = -0*i - 3*i + 29, i - 18 = -3*g. Solve c = -i*u + 2*w + 5, -2 + 4 = 5*u + 3*w for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*j - 24 = -s - 3*j, -5*s + 5*j = -180. What is the remainder when 54 is divided by (2\/3)\/(2\/s)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -52.5 - -33. Let a = -616 + 614.5. Let w = s - a. Which is bigger: 2\/5 or w?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(g) = g**3 + 5*g**2 + g - 1. Let x be k(-5). What is the units digit of 2\/(x\/(-285)) + 1?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -0.1 + 0.12. Let x = s + -0.05. Let u be 4*(1 + (0 - 2)). Which is the second smallest value?  (a) -0.5  (b) x  (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3634 is divided by 19.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -13*f**5 + 70*f**4 + 16*f - 33 wrt f.\nAnswer: -260*f**3 + 840*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -690760, -1381519, -2072278?\nAnswer: -2763037","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 293626?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -9 + ((-6633)\/77)\/(-9) - 3317\/3906.\nAnswer: -5\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 273\/98915 >= -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 30 + 22 + -28 + -10 - 76?\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -c + 28 = 4*v, -6*c + 4*c + 56 = 5*v. Suppose 8*z - c = 6*z. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1.0381 rounded to two dps?\nAnswer: 1.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let w(b) be the second derivative of b**3\/6 - 13*b**2\/2 + 2*b. Let v be w(11). Let a(l) = -2*l**2 - 2*l + 2. Give a(v).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 701210 - 409605. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(d) = d**3 - 27*d**2 + 70*d + 69. What is the remainder when 13963 is divided by n(24)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -54632324 divided by 146?\nAnswer: -374194","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 18545269 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand (y**4 + y**4 - y**4)*(3*y + 10 - 4*y - 12)*(1 + 8 + 1) + 18*y**5 + 26*y**5 - 21*y**5 - 2*y**5 + 0*y**5 + 0*y**5.\nAnswer: 11*y**5 - 20*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -515444*0.4.\nAnswer: -206177.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Add together -399 and -16216512865.\nAnswer: -16216513264","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -673 + 725. Suppose 17*d + 14490 = v*d. What is the units digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 580 + -800. Suppose -v - 228 = 2*v. Let g = v - c. Does 18 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a**(3\/2)\/a*a*a**(-5))\/((a**1*a)\/a*a*a**(2\/13)) assuming a is positive.\nAnswer: a**(-147\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*c = -2*l - 8232, -12*c + 17*c + 4*l - 13698 = 0. Is 2742 greater than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 24 + -22. Let n be b\/2*(-4 + 6). Let s be 7\/n*8\/14. Solve 3*g + 2*q + 11 = -s*g, 3*g + 5*q - 1 = 0 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 216061068.\nAnswer: 2, 3, 43, 47, 59, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-n**3 + 7*n**3 + 0*n**3)*(98 + 173 + 134 - 43 - 62).\nAnswer: 1800*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((w**9\/w)\/w**(-1\/4))\/(w\/(w*w\/(w*w\/(w**(3\/5)*w)))*w**(1\/5)) assuming w is positive.\nAnswer: w**(173\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*j - 14 = -5. Let u(p) = -p**3 + p + 1. Let h(f) = -30*f**3 + 2*f**2 - 3*f. Let d(m) = h(m) + u(m). Determine d(j).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -9 + 3 = -3*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4*(-3 + (sqrt(3) - (sqrt(108) + 2 - sqrt(108))))*3)**2.\nAnswer: -1440*sqrt(3) + 4032","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let h(n) = 2*n - 2. Let i be h(-1). Let w(c) = -c**3 - 5*c**2 - 2*c + 4. Suppose -2 - 18 = 5*y. Let v be w(y). Is v less than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -37 - -4. Let o be 11\/w - 4\/6. Let h = 0.1 + 0.5. What is the smallest value in h, 2\/13, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 51207 and 420810.\nAnswer: 507","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Put 5, -3, 3, 0.061 in increasing order.\nAnswer: -3, 0.061, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose h - 108 = -0*s - 3*s, h = -s + 110. Let r = 153 - h. Calculate the highest common divisor of 28 and r.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15 = 15*n + 60. Let k(l) be the first derivative of -l**4\/4 - l**3\/3 - l**2\/2 + 2*l - 1. List the prime factors of k(n).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 171 a factor of 66690?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 3 + 0\/4 - 20. Let z = k + 18. Suppose 3*a + 3*h = 36, -a + 2*h + z = -2. Calculate the highest common factor of a and 27.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (3*m**2 - 2*m**2 - 2*m**2)*(-12 + 38 + 27)*(0*m + 0*m + m)*(6 - 1 - 2) to o + x*m**2 + y*m + s*m**3 and give s.\nAnswer: -159","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let c(k) be the third derivative of -k**5\/15 + 161*k**4\/6 + 625*k**2. Solve c(u) = 0 for u.\nAnswer: 0, 161","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(h) = -h**3 - 19*h**2 + 92*h + 8. Let x be k(-23). What is the nearest to 0 in 3\/7, -5, 4, x?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1550187745 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*m**4 + 756*m**3 - 46020*m**2 + 794300*m + 6591000.\nAnswer: -4*(m - 65)**3*(m + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 2785313, 5570625, 8355937?\n\"Answer: 2785312*y + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 4 h when four letters picked without replacement from ssssssshsshshssssshh.\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Total of -0.1 and -684.664.\nAnswer: -684.764","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -904, -1788, -2668, -3544, -4416?\n\"Answer: 2*s**2 - 890*s - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is (-759)\/(-92)*(-4)\/(-44)*740\/(-15)?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 p and 1 t when two letters picked without replacement from pxtxxpttxptpxx?\nAnswer: 16\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 105 + 54. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*k**3\/9 - 88*k**2\/9 - 6496*k\/9 + 13312\/9 = 0. What is k?\nAnswer: -32, 2, 52","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.5 and 24817.3.\nAnswer: 12408.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 0.6 - -2.4. Let x = 0.5 + 2. Let z = x - -1.5. Which is the second biggest value?  (a) -0.1  (b) n  (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 7 - 4. Let f = 36 + -15. Let n = -13 + f. Calculate the remainder when n is divided by z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-7)\/(17\/(-1) + 14 + 2)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 140158318.\nAnswer: 2, 70079159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 1239, 3374, 7297, 13902, 24083, 38734, 58749?\nAnswer: 85022","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2 in 0.5, -39, -2\/13, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 217553232?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is -13029\/5 greater than 514\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00000877105009 rounded to seven decimal places?\nAnswer: 0.0000088","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-17 - -17) + 6\/34. Let n = 25\/51 + x. What is the biggest value in 3, -0.4, n?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 40 = 3*o + 5*m, -16*o + 14*o + 5*m + 10 = 0. Is 10 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -271 - -4a2?\nAnswer: 231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let s(y) = 8*y**2. Let u(z) = -z**2. Let p(n) = -s(n) - 4*u(n). Let j(k) = -10*k**2. Determine j(p(a)).\nAnswer: -160*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from zwrwwzzww. What is prob of sequence rww?\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence gddg when four letters picked without replacement from {d: 3, z: 1, g: 2, f: 1}.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*p + 20 = 4*s, 5*p - 301 = 4*s - 225 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose j + 4 = 3*u, 0 + 2 = -3*u + 4*j. Suppose 0 = 4*a - u*s - 354, 0 = 4*a + 5*s - 287 - 74. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 280, 451, 626, 805?\nAnswer: 988","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 1462310 and 15.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3273.2*-0.8.\nAnswer: -2618.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let k(o) = -2*o**3 + 43*o**2 + 136*o - 38. Calculate the lowest common multiple of k(24) and 10.\nAnswer: 1730","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 143 a factor of 1520608804?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Does 86 divide 1462?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -95 + 121.5. Let x = 11.5 + l. Which is bigger: 1 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 880490?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let c(f) be the first derivative of 46*f**5\/5 + f**4\/2 + 13*f**3\/3 + 9*f**2\/2 + 321. Find the third derivative of c(b) wrt b.\nAnswer: 1104*b + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 52758162 and 648?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*b**2\/5 - 1884*b\/5 + 7488\/5.\nAnswer: 3*(b - 624)*(b - 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {f: 2, k: 2, w: 2}. What is prob of sequence fw?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 645 + -642. Let h = -2 - -4. Solve 3 = -q*g + h*g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 46 = 2*a + 9*j - 7*j, -3*j = 2*a - 44. Let l(v) = 2*v**3 - 5*v**2 - 3*v - 11. Calculate the remainder when l(5) is divided by a.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 6\/11, -2\/5, 1\/8, 1\/9, -4\/9 in descending order.\nAnswer: 6\/11, 1\/8, 1\/9, -2\/5, -4\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -r = 4*m - 81, 0 = 4*m - 3*r - 156 + 95. Solve -10*x = -1 - m for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {i: 1, w: 1, j: 2, x: 2}. What is prob of picking 2 j and 1 i?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -16 + 46 = 10*j. Suppose -2\/7*x**j + 0*x - 2\/7*x**2 + 0 = 0. Calculate x.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0?  (a) -0.1  (b) 4\/7  (c) 2  (d) -149\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let g(s) be the third derivative of 275*s**4\/12 - 239*s**3\/3 + 29*s**2 - 6. Differentiate g(h) with respect to h.\nAnswer: 550","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -756332 times 109?\nAnswer: -82440188","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let v(r) = r**2 + 24*r + 55. Let y be v(-22). Calculate the highest common divisor of y and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2 (base 4) to base 11.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i(f) = -168*f**2 + 485*f + 7. What is i(3)?\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -260*w**3 - 4*w**2 + 3*w**2 + 29*w**3 + w**2 + 395*w**3.\nAnswer: 164*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 25800 divided by 4.\nAnswer: 6450","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*g + 0 + 0)*(18*g + 2 - 11*g - g).\nAnswer: 18*g**2 + 6*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*t + 4*t = -72. Calculate the remainder when 138 is divided by t.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, -60, 0 in ascending order.\nAnswer: -60, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*v**3\/4 - 64912*v**2 - 601956795*v - 343954116 = 0. Calculate v.\nAnswer: -18546, -4\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 156\/(-7) - (-4)\/14. Let r be (y\/(-6))\/((-1)\/(-6)). Suppose 5*i + 18 = -r. Round i to the nearest integer.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j**(1\/4))**(-2\/29)*(j*j**(-3))\/j**(-4) assuming j is positive.\nAnswer: j**(115\/58)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (4 - 4 - 3*r)*(-39 - 16 - 21)*(0 - 3 + 2)*(-78 + 47 - 42 + (3 + 1 - 3)*(-2 - 1 + 1) - 3 + 5 - 4) to g*r + n and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*p**2\/3 - 259246972*p\/3 + 8401124061396098\/3 = 0.\nAnswer: 64811743","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let j(w) = 6*w - 23. Calculate the remainder when 89 is divided by j(9).\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -75 + -8?\nAnswer: -7d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 14020852669 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 537253 and 14041?\nAnswer: 739","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 32?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*o - 255 - 4*o**3 + 168*o**2 + 87 - 15*o + 23*o.\nAnswer: -4*(o - 42)*(o - 1)*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 264 - 805. What is g rounded to the nearest one thousand?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"}
{"text":"Question: Determine o so that -17226*o**5\/5 + 285951*o**4 - 2790363*o**3\/5 - 486*o**2\/5 = 0.\nAnswer: -1\/5742, 0, 2, 81","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 4 - 3b832?\nAnswer: -3b82d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 47 + (3 + -5 - 6)?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor w**2\/7 - 836*w\/7 + 23403\/7.\nAnswer: (w - 807)*(w - 29)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Product of 147317 and -0.1.\nAnswer: -14731.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let v(k) = 393*k + 90. What is the hundreds digit of v(3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(t) = 2*t + 21. Suppose -2*l - 18 + 2 = 0. Let k be j(l). Suppose 5*n = n + k*c + 1253, -4*n - 2*c + 1274 = 0. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: 14\/8*(6720\/(-196))\/48\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(n) = 82*n**2 + 1. Let m be q(-3). Let w = 147451\/3 + -49905. Let j = w + m. Calculate the common denominator of -13\/9 and j.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*k - 12 = 3*k. Calculate the common denominator of ((-6)\/(-7))\/(4\/(-38)) and 10\/(-40) + ((-179)\/k - 1).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 15639773?\nAnswer: 83, 188431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let m(d) = -d**2 - 34*d - 84. Let f be m(-30). Let v(r) = -r**3 + 39*r**2 - 107*r - 24. Let y be v(f). Solve -6*x + y = -3*x - 3*g, 0 = -3*x - 2*g + 2 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*h**5\/5 - 14*h**4\/5 + 212*h**3\/5 + 224*h**2\/5 = 0 for h.\nAnswer: -14, -1, 0, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in -2, -6\/295, -4, -5, -0.5?\nAnswer: -6\/295","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4 + (sqrt(162) - (0 + -1*sqrt(162))))**2 + -1 + (((sqrt(4)\/sqrt(2) + sqrt(2))*6)**2 - (sqrt(2) + sqrt(2) + (1 + sqrt(2))**2 + 3)) + -1.\nAnswer: 140*sqrt(2) + 944","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 15 - -513988 - (0 - -3). Suppose -2*p + b = 2*b + 1028000, -4*b + j = -p. Round p to the nearest ten thousand.\nAnswer: -510000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 9662340?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-2)\/(-4) - (-3)\/(-2). Let c = 880 + -490.5. Let w = -389 + c. Put w, h, -3 in descending order.\nAnswer: w, h, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*l - 78 = l. Let r be (-16 - -16)\/(-2 - 0). Suppose -5*p - 2*j + 55 = 0, -3*p + r = 3*j - 42. What is the remainder when l is divided by p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -7 + 13 - 9 - -1 - 10?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 305645 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 l and 1 r when two letters picked without replacement from hlfrtyl.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -2\/45  (b) 4  (c) 0.4  (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2 - 2 - 2*u + (2*u + u - 4*u)*(-2 + 1 - 1) - 6*u - 3*u + 5*u + (2 + 0 - 1)*(12*u + 3*u - 2*u) + u - 7*u + u to the form a + c*u and give c.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in 36.32865mg?\nAnswer: 36328650","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1346 is divided by 75.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-3275)\/(-786)*(-2)\/5.\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -140 + 270. Let j = -120 + d. Which is the third smallest value?  (a) 3  (b) -2\/5  (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -26, 72, -5 in ascending order.\nAnswer: -26, -5, 72","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -1 and -1.711.\nAnswer: 1.711","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 2390052 to the nearest integer?\nAnswer: 134","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 423 and 47?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 190 - 187. Let i be 3 + 533\/(-195) + (-2)\/(-5). Which is the smallest value?  (a) n  (b) i  (c) -2  (d) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14*x - 65485 - 19117 = 0. Is x a multiple of 54?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let c be 13754\/8 - 3\/12. Let n = c + -928. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 306 - 307. Let n be (7\/(c + -13))\/(3\/(-48)). Solve -n = -4*z, 0*q + z = -2*q - 4 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 4 + 12. Let x be (20\/12)\/((-1)\/(-12)). Suppose 12*h + x = o*h. Solve -3*q = -15, s - h*q + 22 = 2*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -72*m + 80 = -62*m for m.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Put 147, -2, 4, 7, -17 in descending order.\nAnswer: 147, 7, 4, -2, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 129145 is divided by 210.\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.000111947371 to five decimal places.\nAnswer: 0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 7373 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let b(m) = -m + 1. Let n(p) = -8*p - 2 - 2 + 4 + 1 - p**2. Suppose -a - 1 = 7. Let l be n(a). Determine b(l).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 139 = 4*t - 201. What are the prime factors of t?\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-8 - (8 - 8)) + 12 - (-16 - -25)) + -65?\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 2030 and 27790.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 + 2 - 2)*(-1307 + 1307 - 270*x) + 2 - 2 + 2*x.\nAnswer: -538*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -23\/6966 and -109\/108?\nAnswer: 13932","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -989*f**5 - 262*f**2 - 999644*f wrt f?\nAnswer: -19780*f**3 - 524","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let v(h) = 8*h**3 - 57*h**2 - 333*h. Let a(l) = 11*l**3 - 85*l**2 - 500*l. Let x(s) = 18*s + 133. Let u be x(-7). Let t(c) = u*v(c) - 5*a(c). Factor t(r).\nAnswer: r*(r + 13)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(k) = 5*k - 10. Let z be m(7). Suppose 2*y = -4*a + 30, y - a = 4*y - z. Calculate the remainder when y is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(w) be the first derivative of 29*w**4\/4 + 2*w**3\/3 - 634*w - 17. What is the first derivative of x(h) wrt h?\nAnswer: 87*h**2 + 4*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1345 (base 9) in base 8?\nAnswer: -1765","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 134337?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 15406 and -1.78?\nAnswer: 15407.78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 81.33499 nanograms in milligrams?\nAnswer: 0.00008133499","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -14 - -38. Let w be 4\/6 - 1\/(-3). Let k(n) = 35*n + 1. Let l be k(w). What is the greatest common factor of o and l?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(o) = -o. Let i(l) = -2*l - 10. Let y(c) = -c - 4. Let n(b) = -5*i(b) + 12*y(b). Let a(m) = 1. Let w(v) = -2*a(v) + n(v). Determine s(w(g)).\nAnswer: 2*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*n - 2*y - 2225, -4*y = 5*n - 0*n - 2195. Is n 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 368462?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 + 5 - 2)*(-c - 2 + 2)*((2*c - c + c)*(-5*c + 2*c + 4*c) - 2*c + 2*c - c**2 + 0*c**2 - c**2 - c**2 + 3*c**2 - c**2 - 3*c**2 - 3 - 2*c**2 + 3).\nAnswer: 4*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.21, -16, -10.\nAnswer: -16, -10, 0.21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: 4\/((2 + -3)*1 - 1)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-6)\/7)\/((1296\/450)\/36*5).\nAnswer: -15\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(d) = d**3 + 8*d**2 + 15*d + 25. Let n be l(-6). Suppose -636 = -n*y + 428. What is the tens digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -13 + 11 - (4 - (-29)\/(-4)).\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 211859 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 66275490 is divided by 66275490.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1\/(2\/(-4))*93\/62.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -36*10\/(-450)*15\/(-6).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 8 + -4. Let f = 308.9 + -308.5. What is the closest to 0 in f, 0, h?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 8396211\/24604 + -24\/6151. Let z = t - 341. Suppose -1\/2*h**2 + 1\/4*h + 1\/2 - z*h**3 = 0. Calculate h.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -16045 (base 14) in base 7?\nAnswer: -316115","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -76969, 254, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -15 - -5c40569?\nAnswer: 5c40554","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: 347 divided by -1\nAnswer: -347","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 11*b + 114 - 125. Which is smaller: b or 4\/3955?\nAnswer: 4\/3955","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(z) = -3*z**2 - 7*z - 6. Let v(k) = -k**2 - 3*k - 3. Let j(p) = p**2 + 8*p + 14. Let u be j(-7). What is u*v(s) - 3*l(s)?\nAnswer: 2*s**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.08*-5427.\nAnswer: -434.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5 + sqrt(20) + sqrt(20)\/sqrt(4)*-1)*-4.\nAnswer: -4*sqrt(5) + 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let g(d) = 10*d - 17. Let n(v) = -19*v + 24. Calculate -5*g(o) - 3*n(o).\nAnswer: 7*o + 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 21391691 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -10 - b?\nAnswer: -1b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 4\/53 in -8, 17, 103?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let x(u) = 6*u + 199. Let l(v) = v. Let m(p) = 2*l(p) + x(p). Let n be m(-13). Solve 0 = -n*s + 93*s - 10 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -12.7630971 rounded to three decimal places?\nAnswer: -12.763","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {e: 2, j: 5}. What is prob of sequence ee?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the sixth biggest value?  (a) -8  (b) 0.22  (c) -68  (d) 0.3  (e) -0.7  (f) 2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(1216) - (sqrt(1216) - (1 + sqrt(1216))))*2)**2 + (sqrt(1216)*-3*-4)**2 + (-5*(-3 + sqrt(1216) - sqrt(1216)) + 3*4*sqrt(1216))**2.\nAnswer: 2944*sqrt(19) + 355301","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let f be -2 - 0 - (-1357 + -3)\/2. Suppose 2*z = f + 380. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 11 + 2482\/(-221) + (5 - (-1870)\/(-65))?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 1 + 1)*(15 - 15 + 3*v)*(-5 + 2 - 6*v + 5).\nAnswer: -18*v**2 + 6*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 3505?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -83*p**2 - 204*p**2 + 294*p**2 - 458*p - 2*p**4 to n*p + d*p**3 + j + u*p**2 + g*p**4 and give n.\nAnswer: -458","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 142615?\nAnswer: 5, 11, 2593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:41 PM and 10:28 PM?\nAnswer: 107","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand (r**3 + r**3 - r**3)*(-2 + 1 + 0) + (0*r + 0*r + 3*r)*(-7*r**2 - 4*r**2 + 3*r**2) + (-r**2 + 2*r**2 - 3*r**2)*(r - r + 2*r).\nAnswer: -29*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from oaoao. What is prob of picking 1 a and 2 o?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11*g - 8*g + 20007 = 0. Calculate the highest common factor of g and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 339 + -333. Solve 4*q + x = q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 225 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 17328\/912 + (-58)\/3. Suppose -15 = -c + 71. Is c < l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*v - 18*s + 16*s = -3182, -v + 4*s = -654. List the prime factors of v.\nAnswer: 2, 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*l = -3*i - 2, l - i = 11 - 2. Suppose -2*h - 29 + l = 0. Let n be 4*4\/h*-6. Solve -16 = -4*m - v, m - 3 - n = -2*v for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of (886\/3)\/((-3)\/(-9))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j**(-2\/11)*j)**(-8\/9)\/(j**(-17)*j*j**(15\/7)) assuming j is positive.\nAnswer: j**(1011\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 61867?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let g(k) = -k**3 + 4*k**2 + 4*k + 6. Let w be g(5). Let q = -4.07 - -0.07. Sort -1, q, w in ascending order.\nAnswer: q, -1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 76607.\nAnswer: 76607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (0 - 0) + -8 + (-16)\/136*34.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -3 - (-6)\/(-1) - (-304)\/48?\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: -a36 (base 12) to base 13\nAnswer: -8a0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 98 minutes after 5:06 AM?\nAnswer: 6:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: 35172 times -1\nAnswer: -35172","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 2086 + -1487. Calculate the remainder when 2999 is divided by y.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -10 - -6. Let f(m) = m**3 + 3*m**2 - 7*m - 6. Calculate f(y).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -218907, -437814, -656719, -875622, -1094523, -1313422, -1532319?\n\"Answer: s**2 - 218910*s + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 12 and 236?\nAnswer: 708","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence cc when two letters picked without replacement from {v: 7, c: 4}?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let h(b) be the first derivative of -5 + 0*b**2 - 2\/3*b**3 + 21*b + 23\/4*b**4. Find the third derivative of h(f) wrt f.\nAnswer: 138","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 657 and 292?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Express -23*a + 18*a - 38*a + (6 - 7 - 13)*((3 - 3 - 1)*(-1 + 1 - 2*a) - 4*a - a + 6*a - a + 3 - 3 - 5*a - 3*a + 2*a + 0*a + 0*a - 2*a) as b + o*a and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -14 = 38*l + 24 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f**(-4\/3)*f**(4\/5))**(1\/8) assuming f is positive.\nAnswer: f**(-1\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Put 5, -4, 9, -55, -28896 in decreasing order.\nAnswer: 9, 5, -4, -55, -28896","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*q + 4*i - 27 = 0, -3*i = -3*q + 4*q - 14. Suppose 436 + 154 = 4*w - q*y, -446 = -3*w + 2*y. Suppose -w = -l - 4*l. What is the units digit of l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*u - 90 + 555 = 0. Let f be 1260\/(-56)*((-7)\/5 + -1). Suppose 2*l + 6 = f. What is the remainder when u is divided by l?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: 3 divided by -44\nAnswer: -3\/44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let x(y) = -y. Let w(v) be the first derivative of 2*v**2 - 3. Give x(w(q)).\nAnswer: -4*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -2928 - -2922. What is the nearest to y in -4\/3, 0.1, 4\/15?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 6112 and 5202?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is twenty-one fifths of a milligram in micrograms?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 14728 - 14688. What is the remainder when 3879 is divided by u?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 5983?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Round 29959 to the nearest one thousand.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let w(z) = z**2 - 5*z - 6. Let c be w(-4). Let r = c + -30. Solve r = 4*t - 4 - 0 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 800 and 35?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 22800 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -13196, -26372, -39548, -52724?\n\"Answer: -13176*d - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 1 - 17. Find the common denominator of m and 2*(-38)\/(-16) - -1.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 24177?\nAnswer: 3, 8059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*i + 16 = 4*y, -2*i - 28 = -5*i + 5*y. Let f(a) = 3*a**2 + 0*a**2 - i - a**2. Let z(u) = 2*u**2 - 7. What is -7*f(p) + 6*z(p)?\nAnswer: -2*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in 1, -82.3, -3, -5, 2\/5, 5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Put 79, 5, 8335 in descending order.\nAnswer: 8335, 79, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 242*o**3 - 3*o**2 - 3 wrt o.\nAnswer: 1452","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Round -86891.1798 to the nearest 10000.\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 83\/90 and 115\/42?\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: -0.4 * -1924\nAnswer: 769.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let h(r) be the first derivative of -1\/2*r**2 - 4 - 1\/12*r**4 - 1\/3*r**3 + 4*r. Let u(b) be the first derivative of h(b). Factor u(p).\nAnswer: -(p + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Total of 1662156282 and 25.61.\nAnswer: 1662156307.61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let d(w) = -1 + 5 + 0*w - w + 2*w. What is the units digit of d(5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2899417 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.5 minus -0.81979202?\nAnswer: 1.31979202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 19*s - 2*s - s**2 + 10*s**2 - 4*s**2 + 2*s.\nAnswer: 5*s**2 + 19*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let c(z) be the third derivative of -z**4\/6 - 5*z**2. Let l(j) = 3*j**2. What is l(c(f))?\nAnswer: 48*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.2 in -3, 0.02, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*w + 6, 0*w - 377 = 2*n - 3*w. Let z be (n\/3)\/((-7)\/21). Suppose 4*p = 5*m - 196, 3*m - p - z = -2*m. Is m a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 + 3 + 1)*(-1 - 3*q + q + 3*q).\nAnswer: 4*q - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let a(r) = -r**2 + 1. Let o be a(1). Let u(p) be the second derivative of -p**2 - 2*p + o + 1\/3*p**3. Determine u(-4).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-3*sqrt(132)\/sqrt(6) - sqrt(22))\/(sqrt(22)\/(2*sqrt(2))))**2 + 3 + ((-2*sqrt(24))\/sqrt(6))\/(sqrt(192)\/sqrt(6)).\nAnswer: -sqrt(2)\/2 + 131","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 23798 - 5616297\/236. Calculate the common denominator of x and 91\/10.\nAnswer: 1180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 419 is divided by 88.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*o + 2*o + 4. Suppose -o*f - 6 + 162 = 0. What is the remainder when f is divided by 20?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(y) = y**2 - 2*y + 2. Let t be z(0). What is the second derivative of -18*u**5 + 7*u - t*u + 0*u + 26*u**5 wrt u?\nAnswer: 160*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*d - 323 = -223. Let s be -3 + 1 + d + 2. Let r(k) = k**2 - 2*k - 4. Let j be r(4). Solve -j*q + 4*y = s, 3*q + 4*y + 4 = 10 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 564346.\nAnswer: 2, 97, 2909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 26297003 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 2*c*g - 7*c*j - 2*g**2*j - 83*g**2 + 11*g*j wrt j?\nAnswer: -7*c - 2*g**2 + 11*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let x(u) = 10*u**3 + u**2 + u. Let b(p) be the first derivative of 7*p**4\/4 + p**3\/3 + p**2\/2 - 8. Give 7*b(d) - 5*x(d).\nAnswer: -d**3 + 2*d**2 + 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let w(m) = m**2 - m - 2. Let r be w(-3). Suppose -f = j - 1146, -3*f - r = -f. Suppose o + j = 2910. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(f) = -4140*f + 9115. Let h(z) = -592*z + 1302. Let o(w) = 20*h(w) - 3*r(w). What is the first derivative of o(k) wrt k?\nAnswer: 580","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 3425620 and 88?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((4 + (-1*((sqrt(19) - (2 + sqrt(19))) + sqrt(19)) - (sqrt(19)*4 + -4)))*-6)**2.\nAnswer: -3600*sqrt(19) + 20700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -632 + 1186. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -o - 1 = -4. Suppose -i - 20 = -4*m + i, 3*i - o = -5*m. Solve v + l + m = 6*l, -2*v - 5*l = 6 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 29  (b) 1  (c) -0.3  (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-5)\/7)\/(33\/231)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -121648*-35.45.\nAnswer: 4312421.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 b when three letters picked without replacement from kbbkkbkkkkkbkkbk.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2\/7 in -2, -1\/7, 1.35?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {l: 1, x: 1, i: 1, q: 1, c: 2, u: 1}. Give prob of picking 1 u, 1 x, 1 i, and 1 l.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 532 minutes before 7:46 AM?\nAnswer: 10:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose h - 8 + 5 = 0. Let a be -5*((-144)\/10)\/h. Suppose -720 = -35*v + 23*v. Calculate the greatest common factor of v and a.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, 1267, -3, 3, 1\/3.\nAnswer: -3, 1\/3, 3, 4, 1267","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let u(h) = -1999*h - 6. Let x be u(6). Let w be x\/(2\/(160\/(-12))). What is w rounded to the nearest 100000?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(f) be the first derivative of 7*f**4\/4 - f**3\/3 + f**2\/2 + 101. What is x(1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(q) = -8*q**3 + 2*q**2 + q. Let u be k(-1). Suppose u = 2*y - 5*y. Let b = y + 2. Is b at least 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 1.47 + -1.97. Which is the second smallest value?  (a) -2  (b) 0.057  (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 23*t**4 + 29653*t**3 - t**2 - 256611553*t.\nAnswer: 276*t**2 + 177918*t - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 416 is divided by 408?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 w when three letters picked without replacement from wzwwzwzzzzq?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let u(x) = x + 840. Let p be u(0). What is p rounded to the nearest one hundred?\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -28355*f**4*p + 2*f**3*p**3 + 2*f**2*p**2 - 44*f*p**3 + 10*f*p**2 wrt f?\nAnswer: -680520*f*p + 12*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 23\/2 equal to 246?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -7188, -7187, -7180, -7167, -7148?\n\"Answer: 3*c**2 - 8*c - 7183","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Put -1\/8, -2\/7, 2, 2\/23 in increasing order.\nAnswer: -2\/7, -1\/8, 2\/23, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -0.1 - 3.9. Let l = z + 3.8. Let t = -0.06 + 0.06. What is the second biggest value in t, -3, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 670 minutes after 3:54 AM?\nAnswer: 3:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*n + 3*d = 2*d - 94, -n + 3*d - 17 = 0. Let z = 166 + n. What is the tens digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 1401*k**2 - 1401*k**2 + 672*k**3 - 4*k + 7*k**3 - 6*k**3 + 3*k + k**3 + 2*k - 2*k + (-k**2 - k**2 + 4*k**2)*(-2*k + 1 - 1).\nAnswer: 670*k**3 - k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -222 + 53 + 78 + 55 - 6*d + 62 to the form l*d + b and give b.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2028477662.\nAnswer: 2, 67, 15137893","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Does 60 divide 108706678?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2\/11, 1\/5, 0, -2, -5\/4 in increasing order.\nAnswer: -2, -5\/4, -2\/11, 0, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Do 1 and -2\/22029 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((c\/c**(-1\/8))**5*(c*(c\/(c*c**0)*c)\/c*c)**17)**(2\/25) assuming c is positive.\nAnswer: c**(317\/100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -41\/5508 and -47\/4762?\nAnswer: 13114548","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2*(2 + 1*sqrt(612)) - (3 + sqrt(272)*-2)*6.\nAnswer: -22 + 36*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence pb when two letters picked without replacement from pnnvwbbnbnnb.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 2490759 or 2490760?\nAnswer: 2490759","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -683 + 690. Solve 0 = n*t - 3*t + 8 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4 a factor of 153\/102*(-7)\/((-21)\/86)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(g) = -g**2 + 14*g + 54. Let w be u(17). Put 2, -6, 1, w in decreasing order.\nAnswer: w, 2, 1, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -257 - -453. Suppose i - a = 3875. What is the first derivative of 40 - 4071*b**2 + i*b**2 - 19*b**3 - 2*b wrt b?\nAnswer: -57*b**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 s when three letters picked without replacement from {x: 4, i: 9, s: 4}.\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.06 in 11, -516, 5, -3\/8, -4?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 6.1 in 0, -120\/11, 3, -0.4, 1\/3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*c**2 - 539024*c - 18159179536.\nAnswer: -4*(c + 67378)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let z be ((-128)\/14 + 8)\/(2\/(-14)). Suppose -1 = -5*n - 3*d, -2*n - d + 4*d = z. Which is bigger: n or -2\/795?\nAnswer: -2\/795","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -4 + 6. Suppose -a*x = -n + 16, 4*n = n + 4*x + 40. Solve -2*r + j = 0, 4*r + n = 5*j + 2 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(z) = -248*z**3 + z**2 - 42*z - 143. Is c(-4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {r: 5, v: 8}. Give prob of sequence vvv.\nAnswer: 28\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1752 divided by -3.\nAnswer: 584","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence tipi when four letters picked without replacement from {t: 7, p: 6, i: 6}.\nAnswer: 35\/2584","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence eene when four letters picked without replacement from {n: 3, e: 9}?\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -50 = 5*b - o, 3*o - 33 = -7*b + 9*b for b.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence jssj when four letters picked without replacement from eejeeesejseoeejeeee?\nAnswer: 1\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let o(x) = -21*x**2 - 10*x + 28. Let z be o(6). Round z to the nearest 10.\nAnswer: -790","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in thirty-seven halves of a litre?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -1\/1946 - 11635\/79786. Let u = -374 - -374. Is i not equal to u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 20, 35, 50, 65?\nAnswer: 80","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -5*x - 25*x + 2 - 190*x**3 + 24*x - 17*x wrt x.\nAnswer: -1140*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -28, -60, -108, -178, -276, -408, -580?\n\"Answer: -y**3 - 2*y**2 - 19*y - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -2\/13  (b) -3  (c) 0  (d) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 1159 - -1162. List the prime factors of a.\nAnswer: 11, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(c) be the third derivative of 1\/3*c**4 + 0 + 1\/60*c**5 - 5*c**2 + 0*c + c**3. Let w be x(-7). What is the nearest to -1 in 4, w, 0?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -29 and 467683.\nAnswer: -13562807","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 129354, 517475, 1164342, 2069955, 3234314, 4657419?\nAnswer: 6339270","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 1589, 1741, 1927, 2147, 2401?\nAnswer: 2689","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c(w) = w**3 + 3. Let s(n) = -n**3 + 27*n**2 - n + 30. What is the smallest common multiple of c(3) and s(27)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 37443499 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 7\/98063604 and 79\/30?\nAnswer: 490318020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Product of -90 and 0.3.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 0.07 - -3.93. Let m = 0 - h. What is the closest to -2\/9 in 2\/3, 3\/8, m?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 8262 is divided by 437.\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 3 - 0. Let n be (-1)\/(o - (-133)\/(-44)). Suppose -9*l + n = -7*l. Does 11 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -76, -294, -652, -1150, -1788?\nAnswer: -2566","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -17 = f - 4*p, 20*f = 24*f + p - 17 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 11462 is divided by 26?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -193, -108, -15, 86, 195, 312?\nAnswer: 437","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*u - 136696 + 9106 = 0. Let s = u + -9802. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 10110 - -1122?\nAnswer: 11232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Sort 42, 34, -3, 4, 0 in decreasing order.\nAnswer: 42, 34, 4, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Does 55 divide 13788980?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (212 - 212 + 191*w**4)*(-2 - 1 + 1) to the form t*w**3 + b*w + f + j*w**4 + p*w**2 and give j.\nAnswer: -382","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.000063949545 to seven decimal places.\nAnswer: 0.0000639","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -27181.6111 rounded to the nearest one thousand?\nAnswer: -27000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {u: 2, c: 3, s: 8, w: 2, z: 2}. Give prob of sequence cszu.\nAnswer: 1\/595","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 106173 is divided by 1769?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 247 is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is -709014198 divided by 13521?\nAnswer: -52438","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2477297.\nAnswer: 2477297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-7*w**2 + 3*w**2 - 4*w**2)*(-5*w + 42 - 42 - 3*w + 0*w + w + (-3 - 2 + 3)*(-3*w + 7*w - 3*w)) to the form r*w + h*w**2 + o + m*w**3 and give m.\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1?  (a) -0.1  (b) -1\/13  (c) -538  (d) 250\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let r(q) be the third derivative of -q**8\/112 - 17*q**7\/70 - 35*q**5\/12 - 41*q**2 + q. Find the third derivative of r(d) wrt d.\nAnswer: -180*d**2 - 1224*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-256)\/(-192512)*-94 - (8550\/16)\/5?\nAnswer: -107","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(y) = 23*y**2 + 16*y**2 - 50*y - 37*y**2. Let f be v(25). Let n(c) = -c**3 - 2*c**2 - c - 11. What is n(f)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*l - 23 = -2*s - 3, 0 = 2*l + 2*s - 12. What is the highest common factor of 1 and l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: 491231135 divided by 5\nAnswer: 98246227","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -12210101 + 214?\nAnswer: -12204332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*a - 3 - 9 = 0. Let c(u) be the second derivative of 26*u**3\/3 + u**2\/2 + 4*u. Is c(a) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(u) be the first derivative of u**3\/3 - u**2 + 1. Let r be x(2). What is the biggest value in r, -2\/9, -5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(i) = -3*i**3 + 8*i**2 + 4*i - 2. Let q be r(3). Let a(b) = 2*b**3 - b. Calculate a(q).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 4404099?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -74, -154, -236, -320, -406?\n\"Answer: -o**2 - 77*o + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2570 divided by -514.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -23 - -27. Suppose 2*r + k = r. Is r greater than or equal to -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 7\/2 of a micrometer in nanometers?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*l**3 - 2*l**4 + 3*l**3)*(-3 - 3 + 5) + (-4*l + 3*l + 5*l)*(-30*l**3 + 22*l**2 - 22*l**2).\nAnswer: -118*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let x(t) = -6*t - 24. Let w be x(-4). Let o(a) = a**3 + 3*a**2 - 3*a - 3. Let s be o(-3). Solve 2*h - s + 2 = w for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -5 (base 11) to base 8.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-10 - -5) + 4\/(-4) - 312\/24?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 7 - (-2 - -4) - 418\/22. Put -1, -4, n in descending order.\nAnswer: -1, -4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -384\/2377 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -3460.6 - -356.6. Let i = b - -3104.00002109. What is i rounded to 6 dps?\nAnswer: 0.000021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-1)\/3 - ((-66)\/36 - -1). Suppose 6 = 5*p - 4. Let -m*l + l**p + 0 = 0. What is l?\nAnswer: 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be ((-15)\/(-12))\/((-6)\/(-864)). Let x be h\/81 - 2\/9. Is (5 - x)*55\/3 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 1442 and 154.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-1)\/(-10))\/((-132)\/220)*2.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 190243 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Express -g - 2*g - 3*g**2 + g**2 - 4*g in the form a*g**2 + h + m*g and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 612*f**5 - 1564*f**4 - 67200238*f**2 + 4.\nAnswer: 36720*f**2 - 37536*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 264\/12*8\/144?\nAnswer: 11\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.105675112 to three decimal places.\nAnswer: -0.106","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -963.4 + 1018. What is i rounded to 0 dps?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*r = -5*d - 2462, 5*d = -3 - 7. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(s) = 2*s + 8. Let c(t) = -9*t**2 + 2*t - 1. Let f(a) = a**3 + 10*a**2 - a. Let h(w) = -4*c(w) - 3*f(w). Let z be h(2). Determine k(z).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 282 - 17*n + 258 + 2*n**2 + 17*n - 537.\nAnswer: 2*n**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = y - 5*y. Suppose 0*r = -3*r + 4*q - 5, r + 4*q = 9. What is the nearest to y in -5\/3, r, -2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -48202, -49163, -50124, -51085, -52046, -53007?\n\"Answer: -961*f - 47241","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 x and 1 n when two letters picked without replacement from ppxnppnplppppxpp.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -1\/4, 0.6, -22.67?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -462.84 - -467. Let q = 5.84 + m. Sort q, -1\/4, -2, -3.\nAnswer: -3, -2, -1\/4, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -694, -1335, -1968, -2593?\nAnswer: -3210","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 54 is divided by 12\/18 - (-129)\/9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.2, -40, 17 in descending order.\nAnswer: 17, -0.2, -40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((x\/x**17*x)\/x)\/(x\/((x\/(x*x**(-2\/5)*x*x))\/x)))**17 assuming x is positive.\nAnswer: x**(-1666\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Convert 5987.17665 minutes to weeks.\nAnswer: 0.5939659375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 138133 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 2151 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -27\/52 and 10\/5997.\nAnswer: 311844","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 8 (base 12) in base 14?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find c such that -4*c - 2\/3*c**2 + 4\/9*c**3 - 16\/9 = 0.\nAnswer: -2, -1\/2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(i) = -i**2 + 6*i - 2. Let z be 3 - (-8)\/((-8)\/(-4)). Determine m(z).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 105 and 321000?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let p(q) = 52*q**3 + 12*q**2 - 12*q. Let z(f) = f**3 + f**2 - f. Determine p(w) - 12*z(w).\nAnswer: 40*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -383, -756, -1141, -1544, -1971, -2428, -2921?\nAnswer: -3456","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 31160150 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-32)\/(-10)*1980\/18. Let y = x + -296. What are the prime factors of y?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -x + 18 - 7. Let t(c) = -c**3 + 5*c**2 - 3*c + 6. Let w be t(4). Let r = 39 - w. What is the remainder when r is divided by x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(g) be the second derivative of 7\/3*g**3 + 0*g**2 + 2 + 74*g + 1\/4*g**4. Let p(c) = -3*c. What is p(u(f))?\nAnswer: -9*f**2 - 42*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let u(j) = -79*j**2 + 89*j - 5 - 26*j + 85*j**2. What is the units digit of u(5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: -67 (base 10) to base 14\nAnswer: -4b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -6, -7, 2, 27, 74, 149?\nAnswer: 258","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence sfgf when four letters picked without replacement from gfgfsyz?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (324\/(-66) + 5)\/((-8)\/(-88)). Put 4, 0, -6, l in decreasing order.\nAnswer: 4, l, 0, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 103551212?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (7\/(-42))\/((-2)\/(-6))*2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((y**(-10)\/y)\/y)\/y)\/y**(-7\/2)*y**(-3)*y**(2\/7) assuming y is positive.\nAnswer: y**(-171\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -3863, -7848, -11837, -15830, -19827?\n\"Answer: -2*h**2 - 3979*h + 118","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*o + 2*p + 50 = 0, 3*o + 4*p = -o + 12. Suppose 4*m = -2*d - 2, -m = 2*m + 3*d + 6. Let q be 72\/(-6)*m\/(-4). Solve o = g - q*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -24 - -35. What is the remainder when 261 is divided by v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(z) = 9*z**2. Let g(y) = -18*y**2 - 32. Let b(q) = -q**2 - 2. Let v(i) = -48*b(i) + 3*g(i). Determine v(l(o)).\nAnswer: -486*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 12 and 10839?\nAnswer: 43356","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1399308 is divided by 181.\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p**(-2\/7))**12*p**(5\/2)\/p**(-5)*(p**(2\/5)*p)**17\/(((p\/(p\/((p\/(p\/(p**(-8)*p)))\/p)))\/p*p)\/(p\/p**(-2\/31))) assuming p is positive.\nAnswer: p**(80151\/2170)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2*x + x**3 - 2*x**2 - 2*x**4 + 0*x**3 - 2 - x + 2*x**3 to t + p*x**4 + u*x + y*x**3 + z*x**2 and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1547281 is divided by 1327.\nAnswer: 1326","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1394570609.\nAnswer: 53, 523, 50311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-18*z + 71*z - 20*z)*(0 + 3 + 1 + 1 - 3 + 0 - 3 + 2 + 2 + (-1 + 0 + 0)*(-3 + 6 - 2)) to u + y*z and give y.\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 1965 + -1634. Is o 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 270 and 1152?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*f = 0, -20*s = -19*s + f + 4 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -849 - -2915?\nAnswer: 2066","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ry when two letters picked without replacement from {j: 1, r: 1, y: 1, m: 1, f: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -109*f**3 - 1335*f**3 - 1881*f**3.\nAnswer: -3325*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 33\/2 and -115\/792.\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let q be -2 + 0\/2 - 214. Let o be q\/(-1)*3\/(-3). Is o\/30*(-20)\/6 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: -6038255 (base 9) to base 5\nAnswer: -1310324443","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: 1\/6*0*(712\/(-24))\/89\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, 1, 19, 98, -12, -2 in decreasing order.\nAnswer: 98, 19, 3, 1, -2, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 335, 336, 339, 344, 351, 360?\nAnswer: 371","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -88 + 28. Let m be (-2 + -1)*z\/(-45). Let c(p) = p**3 + 6*p**2 + 4*p - 4. Is 12 a factor of c(m)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (5 - 13) + (1 - -4).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*m + 15 = 5*a, -2*a - 29 + 16 = 5*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 150 + -99. Let t = v + -51. Which is the closest to 0?  (a) 2  (b) t  (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 185, 144, 77, -16, -135, -280?\n\"Answer: -13*s**2 - 2*s + 200","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7 = o + 3*m - 2*m, -2*m = -2*o + 2. Suppose o*q + 6 = 2. Is (0 - (q - 1)) + 20 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 24067.84472 + 0.15528. Let j = -24070.799936 + f. Let y = j + 2.8. Round y to 5 dps.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*r**3\/9 - 16*r**2\/3 - 1684*r\/9 + 192.\nAnswer: 4*(r - 27)*(r - 1)*(r + 16)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(3) + 3 + 4)**2 + ((sqrt(27) - 3*sqrt(27))\/sqrt(9) - sqrt(3)) - (((sqrt(27) + 1*sqrt(27))\/sqrt(3))\/((sqrt(12)*-1)\/sqrt(4)))**2) + -2.\nAnswer: 11*sqrt(3) + 38","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 646 and 51?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let v(c) = -c**2 + 2*c - 11. Let y be v(0). Let r = y + 21. Is r a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(h) = -h**3 - 2*h**2 + 2*h + 3. Let w be 1*(-3)\/(-3) + 0. Let l = w + 10. Suppose 5*c = -2*z - 19, -4*c - 3 = z + l. Calculate v(z).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {b: 3, y: 1, n: 1, x: 2, d: 3, e: 2}. Give prob of picking 1 y and 1 n.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 102 + -68528.26?\nAnswer: -68426.26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -774 = -2*v - i + 6*i, -5*v - 4*i = -1935. Round v to the nearest ten.\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -873, -1665, -2457, -3249, -4041?\n\"Answer: -792*x - 81","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -4*k - 50*h + 49*h + 3, 5*h = -5*k + 15 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let n(b) = 118*b + 15536. Calculate n(-131).\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: -826 divided by 57959\nAnswer: -826\/57959","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 9\/(-12) + 2\/(-8). Let f(t) be the first derivative of 3*t**4\/4 - 2*t**3\/3 - t**2 - t + 46. Calculate f(n).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -14 (base 10) to base 16\nAnswer: -e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-1)\/(-4) + 22\/8. Let x be (-1 + 4)\/(6\/4). Suppose d - w - 5 = 0, -a*d + x*d + 25 = 3*w. What is the highest common divisor of 110 and d?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -190*h + 4*v = -185*h + 14, 2*v + 8 = -5*h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 4 + -1 - (-234)\/(-91). What is the third smallest value in 0.6, -3\/5, -1\/5, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -122 - -108. Is p greater than -18?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 565256 + -44?\nAnswer: 565212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -0.28 + 0.28. Let u = 8 - 8.3. Let y = u + 0.2. What is the nearest to y in -3, z, -2\/15?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {j: 3, a: 1}. Give prob of sequence ajj.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -1094*w**3 - w**2 + 41*w?\nAnswer: -6564","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 178\/8 + 1\/(-4). What is the common denominator of -41\/20 and ((-1)\/j)\/(4\/20)?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 4.9 and -148.\nAnswer: -725.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (5\/(-2))\/((-2)\/8). Let k(d) = -d**3 + 9*d**2 + 11*d - 10. Let n be k(b). Let h be (n*3\/6)\/1. Solve h*p = -5*p - 15 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-2407 - -2394) + 2\/(4\/26) - 5?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -298522305 by -59704461.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.03 in 24, -5, 0.014?\nAnswer: 0.014","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let z(d) = 2*d**2 + 2*d. Let l be z(-3). Suppose 4*m = -l, -5*m = -4*x - 9 + 24. Let p(f) = -2*f + x*f + 5*f**2 + 6 + 5*f**3 - 4*f**3 - 2*f. Calculate p(-6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(p) = 49*p**2 + 66*p**2 + 2 + 2 + 4*p - 23*p**2. What is the remainder when i(-1) is divided by 31?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:33 PM and 11:52 PM?\nAnswer: 559","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: (-642)\/126 + 4\/42\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 55388980 rounded to the nearest one hundred thousand?\nAnswer: 55400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14 + 419 = 61*w - 16*w. Solve -2*p - 3 = k, -w = -p + 3*p - k for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 90*a*h*l**2*p + 2*a*h*l**2 + 3*a*h*l*p - 5*a*h*l + 2*h*l**2*p + 2*h*l*p - 2*h wrt l.\nAnswer: 180*a*h*p + 4*a*h + 4*h*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*z = 0, -5*j - 2*z - 8 = -23 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 12781 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2487 - 7145 = -34*j. Is j*(1 - 0) - 48\/(-24) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 726492233 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 357\/18 + (-4)\/(-24). Let j be 3*(2 + u\/(-12)). Let v be j*30*(-16)\/(-12). What is the highest common factor of 16 and v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -811.1993 + 0.1993. Which is smaller: h or 1?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {f: 7, r: 6}. Give prob of sequence rr.\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is ((-73888)\/(-80))\/((-4)\/(-10)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1\/(-3)*0\/(-14)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {g: 2, e: 8}. Give prob of picking 1 g and 3 e.\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1\/3 in 5, 0.2, 1\/7, 9?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 34 is divided by 10.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let t(p) = -p**2 - 4*p**2 + 3*p**2 + 5*p - 6. Suppose -3*l - 4*o = l + 592, 291 = -2*l - 3*o. Let q = l + 157. What is t(q)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -1.5 - 0.5. Let x = 8 - z. Let q = 10.032 - x. Round q to 2 dps.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(t) = -10*t**2 + 3*t + 3. Let o(j) = -11*j**2 + 4*j + 3. Give 3*o(l) - 4*v(l).\nAnswer: 7*l**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 7943637 divided by 149?\nAnswer: 53313","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 647 minutes before 12:33 AM?\nAnswer: 1:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 4 + (-6)\/2 + -2. Suppose -4*v = 0, m + 5*v = 10*v. Let r be (l - m)\/((-13)\/26). Solve -r*p - 15 = p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1.5421 + -21330114\nAnswer: -21330112.4579","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2?  (a) 0  (b) 18\/563  (c) -0.099  (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-4)\/(-14))\/((-384)\/336)*38 + 6.\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*t + k + 110 = 0, -4*t - 4*k + 166 = 46. What is the units digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -100010 + -1000001101000011111?\nAnswer: -1000001101001000001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(2) + -1 + sqrt(2) + 4 + sqrt(8)\/(sqrt(16)\/sqrt(4)).\nAnswer: 3 + 3*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let x(z) = -734*z**2 - 9556*z + 21. Give x(-13).\nAnswer: 203","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 3?  (a) -35  (b) -60.7  (c) 12  (d) -0.1  (e) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve n + 11262217*m + 16 = 11262215*m, 3*n + 103 = 5*m for n.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 0 - -5. Suppose -c*a + 5*d - 15 = -205, 0 = -a + 4*d + 32. What is the units digit of a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*n**5 + 42*n**4 - 108*n**3 + 102*n**2 - 33*n.\nAnswer: -3*n*(n - 11)*(n - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand (r - 3*r - r)*(-3*r**3 - r**3 + 2*r**3) + (0*r**2 + r**2 + 0*r**2)*(2*r - 2*r + r**2).\nAnswer: 7*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o**2\/o*o)**(-16)*o**(-3\/4)*o**3 assuming o is positive.\nAnswer: o**(-119\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Round 4.78594412 to three dps.\nAnswer: 4.786","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 34861*u**4 + 34774?\nAnswer: 139444*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let d(o) = 3*o**3 - 5*o**2 + 6*o - 17. Let y(u) = 2*u**3 - 3*u**2 + 3*u - 8. What is -3*d(b) + 5*y(b)?\nAnswer: b**3 - 3*b + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -7*c**3 + 50*c**2 + 11*c**3 + 14*c**3 + c - 29*c**3 - 1 wrt c?\nAnswer: -66*c + 100","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -125.8 - 16.2. Let g = 141 + n. Let s = -12 - -12.1. What is the closest to -6 in s, g, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00000050698 rounded to 6 dps?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -199492, -199489, -199486, -199483?\n\"Answer: 3*i - 199495","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 889, 891, 885, 865, 825, 759, 661, 525?\nAnswer: 345","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 291 - 294. Is v at least as big as -71\/23?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2798 + 1137 - 2629 + k)*(3 - 3 - 1).\nAnswer: -k + 4290","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*d - 42 - 58 = 0. Let s = 41 - 39. Suppose 0*a - g = a - 59, 5*a = s*g + 302. Calculate the greatest common divisor of a and d.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 453014?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 50 minutes after 11:47 PM?\nAnswer: 12:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -5 - -8. Suppose 0 = -n*t + 2*t + 2. What is the third derivative of -25*r**3 + 25*r**3 - 2*r**t + 3*r**4 wrt r?\nAnswer: 72*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 862 - 862.4. Which is the biggest value?  (a) -0.051  (b) k  (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 10, -2, 1.3, 3\/92, 2, 0.5, 3 in descending order.\nAnswer: 10, 3, 2, 1.3, 0.5, 3\/92, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11*z + 72*z = 445971. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(i) = 18*i**2 + 4. Let g be (-830)\/110 - 96\/(-176). Let q(c) = 6*c**2 + 1. Calculate g*q(f) + 2*v(f).\nAnswer: -6*f**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3*6*(sqrt(300)*-1 + sqrt(300) + sqrt(300))*-1*4*-2.\nAnswer: -1440*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 34 divided by -34?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*u + 2*j - j = -8, -u + 5*j + 4 = 0. Is 124\/9 - u\/(-18) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 10818 - 1471 = 699*m - 22807 for m.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 0.4 + 0. Which is the nearest to 2?  (a) w  (b) 1  (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((c\/(c*c**6))\/(c*c\/((c**6\/c)\/c))*(c*c\/(c*c**(-3\/8)*c))\/c**(-2))**(6\/25))**(-12) assuming c is positive.\nAnswer: c**(117\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*d + 13 + 11 = 5*z, -2*d = -2*z + 12. Suppose -56 = -t - 2*m + m, -z*m + 15 = 0. Does 14 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 4535c5 (base 15) to base 5.\nAnswer: 1321131220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 425\/10 - 3\/6 is divided by 22?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*h - 37 + 55. Solve -9 = 3*j - h*j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1\/695?  (a) -4  (b) -3  (c) 0  (d) -0.3  (e) 51\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1422 = -10*q + 5*q + z, 3*q = -z - 858. Find the common denominator of (q\/9)\/(4\/6) and ((-2)\/8)\/(3 - 37\/11).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -250531.02 rounded to the nearest 1000?\nAnswer: -251000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 12001527 is divided by 1609?\nAnswer: 1605","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let a(l) = -l**3 - 50*l**2 - 180*l + 177. Give a(-46).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Put 35, 5, -1\/2, 0.2, -3, 7214 in decreasing order.\nAnswer: 7214, 35, 5, 0.2, -1\/2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 203709 to the power of 1\/6, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 2\/6 - (-23)\/3. Suppose -5 - v = -w + m, -3*m - 26 = -2*w. What is the units digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 35 divide 19942?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Express 2*g**2 - 3*g**2 + 5 - 4 as v*g + z*g**2 + y and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -5774412*i - 20361363.\nAnswer: -5774412","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is (-80)\/3510*-774 - 4\/13?\nAnswer: 52\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -258 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 8 - -2. Let v be 48\/40 + (-2)\/u. Let z(i) = 6*i. Calculate z(v).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose y = -3*q - 3 + 1, 5*y + 10 = 3*q. Suppose q = -0*x - 4*x. Suppose -j = -x*j - 5. Calculate the greatest common divisor of 15 and j.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(x) = -47*x**3 - 7*x**2 + x + 7. Let z(y) = -47*y**3 - 6*y**2 + y + 6. Let f(p) = 6*u(p) - 7*z(p). Does 15 divide f(1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(u) = 68*u**3 - 8*u**2 + 20*u + 14. Is 5 a factor of g(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 4872 and 1562085?\nAnswer: 609","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 8001 and 234823.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 330509 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let u(a) = a**3 + 12*a**2 + 11*a + 8. Let m be u(-7). Let r(d) = -d**2 - d + 1. Let l be r(5). Let t = l + 51. What is the highest common divisor of t and m?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, -447, -4, 1, 7, -251.\nAnswer: -447, -251, -4, -2, 1, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4*(3 + (sqrt(153))**2).\nAnswer: -624","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 9757873 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {a: 8, i: 1, w: 5, u: 2}. What is prob of sequence wwaw?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let i(u) = -9*u + 8. Let q(t) = -2*t**2 + 609. Determine i(q(v)).\nAnswer: 18*v**2 - 5473","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from trvdf. What is prob of sequence vt?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -4727*w**3 - 3*w + 2349*w**3 + 2349*w**3 - 5*w - w wrt w.\nAnswer: -174*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 12\/9 - 104\/60.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 702 minutes after 6:49 AM?\nAnswer: 6:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let j(q) = -6*q + 80. Determine j(0).\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 4464335736?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is (-14)\/35*((-13)\/2 + -6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.007210241 rounded to four decimal places?\nAnswer: 0.0072","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1\/(4*3*5\/60)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -1 - -3. Suppose -24 = g*j - 6*j. Solve -3*i + j = -3 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 40098 and 246?\nAnswer: 246","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (3 - 2*a - 2 - 2)*(159*a - 159*a - 58*a**2) + 5*a**3 + 0*a**3 + 7*a**3 to the form g + m*a + y*a**3 + w*a**2 and give w.\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(832) - ((sqrt(832) - (0 + sqrt(832) - sqrt(832))) + 4))*1 + 0.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*k + 1 = -4*o - 0*k, k + 17 = -3*o. Let j be o\/10 + 2\/5. Let c be (j - 2)\/((-10)\/15). Solve -5*a - 4 = -v, c*v = 4*a + 5 - 4 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 26\/115 and 28\/11.\nAnswer: 1265","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*y - 46 = -2*p + 2*y, 5*y = -3*p + 102. Suppose 6 = 2*j - 94. Let l = p + j. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 4 g when four letters picked without replacement from {t: 2, e: 12, g: 5}?\nAnswer: 5\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.1?  (a) -48.8  (b) -3426  (c) 3  (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -1539, -6144, -13819, -24564, -38379, -55264, -75219?\nAnswer: -98244","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 4\/(-15)*(-1359)\/(-604)*-3?\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -22.27 + 24.27. Which is the second smallest value?  (a) -0.3  (b) k  (c) 491\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 40\/171781 and 55\/70467.\nAnswer: 42773469","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: (4 - 12 - (-8 + -64 + -6)) + (15 - 21)\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 664578320.\nAnswer: 2, 5, 7, 491, 2417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 22 = 10*q + 2. Suppose -o = -2*l - 1, -5*o = q*l - 5 - 0. Factor 3*z**2 - 8*z**5 - 12*z**4 - 1\/2*z + l - 1\/2*z**3.\nAnswer: -z*(z + 1)**2*(4*z - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Total of 0.18 and 0.4576446387721.\nAnswer: 0.6376446387721","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Divide -9747 by -19.\nAnswer: 513","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 1293, 2600, 3909, 5220, 6533, 7848, 9165?\nAnswer: 10484","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l(m) be the first derivative of -8*m**3\/3 + 13. Let y(q) = -2*q. What is l(y(s))?\nAnswer: -32*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let b(m) = 4*m**2 - 123*m + 207. What is b(29)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence yv when two letters picked without replacement from rrrryrrrrrrrrvr.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 3*((-9)\/(-3))\/3*(-43)\/43?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 116177650?\nAnswer: 2, 5, 109, 21317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -c - 6 = 5*s, -21*c = -26*c + s - 56 for c.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let o(g) be the first derivative of -31*g**6\/3 + 64*g**3\/3 - 3*g + 11. Find the third derivative of o(c) wrt c.\nAnswer: -3720*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 23.4 * 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 74628667627745.10000106 - 74628617814875. Let l = q + -49812880.2. Let d = -10.1 - l. What is d rounded to 7 dps?\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(l) = 4*l**3 - 59*l**2 + 1501*l - 44. Let a(w) = -w**3 + 19*w**2 - 500*w + 16. Let n(o) = 11*a(o) + 4*c(o). Find the second derivative of n(x) wrt x.\nAnswer: 30*x - 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 904785 is divided by 112742?\nAnswer: 2849","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 1258 and 5389.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let l(y) = -5*y + 53. Let m be l(10). Suppose -2*k - 389 = -5*t + 2*k, m*k + 234 = 3*t. Calculate the remainder when t is divided by 23.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:16 PM and 8:18 AM?\nAnswer: 662","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 10229360993 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Convert 39704 (base 15) to base 8.\nAnswer: 547025","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -25 = -2*n + 7*n. Let c(l) = 0*l**2 - 4 + l**2 - 3. Is c(n) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 27058443.\nAnswer: 3, 31, 131, 2221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let q(s) be the second derivative of 11*s**3\/6 + 6*s + 6. Let i(v) = -v + 7. Let l be i(5). Let y(o) = 4*o**l - 11*o**2 + 4*o**2 + o**2. Give y(q(t)).\nAnswer: -242*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 1 - -2*(-2 + 0). What is the tens digit of (1\/s)\/(2\/(-522))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 40022 (base 7) in base 3?\nAnswer: 111012022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 2475 - 2474.6. Let w = 2.5 + -7.5. What is the third biggest value in r, -3, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when (145\/15)\/(5\/15) is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (19 - -38 - 25) + -28.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-2380)\/6*(-140 - 153\/(-9)). Round k to the nearest 1000.\nAnswer: 49000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-7)\/(35\/(-48))*(-60)\/18. Let o be -3 - ((-50)\/8 - 8\/d). Solve -2*s - 1 = o*y - 23, s + 7 = 3*y for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be -3*11\/(-3) - (1 + -1). Suppose 64 = z*c - 2. What is the smallest common multiple of c and 9?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*r = 3 + 7. Let d be (r\/70)\/((-1)\/(-6)). Let o = 4.4 + -0.4. What is the second smallest value in d, o, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (3*o + 6 - 5*o - 12)*(2 - 7 - 3)*(-o - 4*o - o) to b*o + k + m*o**2 and give b.\nAnswer: -288","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, -4, -0.03, -1\/11 in increasing order.\nAnswer: -4, -1\/11, -0.03, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -5 + 7. Let u = k - 7\/4. Let p = -24 - -28. Which is the closest to u?  (a) p  (b) -0.1  (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 8810382?\nAnswer: 2, 3, 7, 209771","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 4 - 3628177?\nAnswer: -3628173","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 669382 divided by 14?\nAnswer: 47813","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-k + 2*k + 0*k)*(2*k**4 - 4*k**2 + 4*k**2) + 3*k**5 - 3*k**5 + 10*k**5.\nAnswer: 12*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00000159746 rounded to 7 decimal places?\nAnswer: -0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Sort -11, -0.2, 6, 0.1, 7\/20.\nAnswer: -11, -0.2, 0.1, 7\/20, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let d(g) = -9*g**2 + 2025*g - 7963. Calculate d(221).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4 + (1*(sqrt(432)*1 + sqrt(432))*-5 - ((0 + sqrt(432))*5 - (sqrt(432) + 0)*4)) + -2)**2.\nAnswer: 1584*sqrt(3) + 52308","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -9813203903 - -9813203436.0000189. Let k = 666 + -1133. Let q = k - h. What is q rounded to six decimal places?\nAnswer: -0.000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from klfef. What is prob of sequence ff?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 10 + -7. Solve -v + s*v - 4 = 0 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(u) = 2*u**2 - 5*u + 4. Let g be l(3). Suppose 20 = v + g. What is the remainder when 36 is divided by v?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose q = -4*y - 4, -2*q - 8 = y - 0*q. Let s(n) = 2*n + 44. Let k be s(y). Is 328\/11 + 8\/k a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j**(-10\/3)\/j)\/j*j**(-2\/75) assuming j is positive.\nAnswer: j**(-134\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let p(i) = 8*i + 34. Let n be p(-4). Suppose -5*w - 2786 = -7*w - n*l, 5*w - 6933 = 3*l. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 80791\/(-95268) - 18\/(-8) and 157\/126.\nAnswer: 2142","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*c - 8 = 0, 3*t - 874 - 252 = -c. What are the prime factors of 4*(3 - 2 - t\/(-8))?\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7*b = -3*b - 3*n - 17, -5*n = -2*b + 5 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -16122, -16149, -16174, -16197, -16218, -16237?\nAnswer: -16254","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t(y) be the third derivative of 13*y**5\/10 + y**4\/24 + 286*y**2. Give t(1).\nAnswer: 79","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0000137687 to 6 decimal places.\nAnswer: 0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 8171.23 + -8127. Let z = r - 44. Let l = 0.03 - z. What is the biggest value in -2, 4, l?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {p: 6, r: 4, i: 10}. What is prob of picking 1 r and 2 p?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand -5*w**2 + w + 0*w - 2*w**2 + (-3 + 3 + w)*(-w + 0*w + 0*w).\nAnswer: -8*w**2 + w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-30)\/(-9)*2*12\/5?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Does 1105 divide 1230288215?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let z(h) = -h**2. Suppose p - 2 = -p + 4*n, 3*n = 2*p - 3. Let l = -2 - -4. Let d(m) = -3 + p + l*m**2. What is z(d(r))?\nAnswer: -4*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -19*n + 191 = 3*w - 24*n, 2*n = w - 62. Let d(s) = -s**2 - 3*s + 1. Let x be d(6). Let p = w - x. Is 17 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -74 = -7*l - 156 + 75 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 978330923 and 334?\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Work out -1807326 - 122.\nAnswer: -1807448","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (181*i - 375 + 375)*((2 + 0 - 4)*(-4 + 1 + 2) - 3 + 0 + 4) + 2*i + 0*i - 4*i to w + m*i and give m.\nAnswer: 541","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is -14.119 rounded to 1 decimal place?\nAnswer: -14.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 32850?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -24.6 - -19.6. What is the nearest to -2 in 4, j, 11?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -2575 and -3.\nAnswer: 7725","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 251487800 rounded to the nearest 1000000?\nAnswer: 251000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 77812818 is divided by 1220.\nAnswer: 1218","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 6 + 6. Let s = 20 - j. What is the remainder when 4 - 27*(-2)\/3 is divided by s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -2*(-3)\/90 + 274\/(-60).\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {p: 7, c: 6}. Give prob of picking 1 c and 1 p.\nAnswer: 7\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 84473360 rounded to the nearest 10000?\nAnswer: 84470000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Work out -7350117.305 - -0.4.\nAnswer: -7350116.905","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 6.13 + -0.13. Let w = 137 + -131.1. Let r = h - w. What is the closest to r in -1, -0.4, 5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 10656.989 + -10657. Sort -2, q, 2\/15, -2\/11, -0.018 in increasing order.\nAnswer: -2, -2\/11, -0.018, q, 2\/15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(o) be the first derivative of -4*o**3\/3 - 3*o + 170. Let v(q) = 2*q**2 + 1. Calculate -2*s(m) - 5*v(m).\nAnswer: -2*m**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 318, 630, 942?\n\"Answer: 312*g + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1175266403.\nAnswer: 277, 4242839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let w(g) = -32*g**3 - 834*g**2 - 640*g - 15265. Give w(-26).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 318276*t - 193148?\nAnswer: 318276","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Do -5 and -3\/530 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let r(h) = -h. Let m = -18 + 55\/3. Let f(u) be the second derivative of 0*u**2 + 0 + m*u**3 - 2*u. Give f(r(w)).\nAnswer: -2*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 223 - 208.9. Let m = -14.3 + w. What is the biggest value in -0.3, -5, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((4*sqrt(192)*2)\/(sqrt(54)\/(sqrt(36)*2)) + -2)**2.\nAnswer: -512*sqrt(2) + 32772","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*q - 3*o = -4233, 0 = 2*q - 3*o + 2*o - 1702. Suppose 2*w + q = h, w = -h - 445 + 1297. List the prime factors of h.\nAnswer: 23, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-2)\/(-4)*(11300\/(-113) - -146)\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(m) = 5*m**2 + 2*m + 7. Let h(r) = 2*r**2 + r + 3. Let c = -38 + 45. What is c*h(y) - 3*p(y)?\nAnswer: -y**2 + y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 56699749?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 664*g**4 - 207.\nAnswer: 2656*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 2644588337 to the power of 1\/2, to the nearest integer?\nAnswer: 51426","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 199 - ((-3)\/5 - 36\/15).\nAnswer: 2, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(b) = 2*b**2. Suppose 5*k = f + 11, -3*k - 7 = f - 5*f. Suppose -2*d + 4 = 0, 0 = -h - 2*h + d + f. Let p(m) = -m - 2*m + h*m. Calculate c(p(l)).\nAnswer: 2*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-6*-1*sqrt(2304)*4)\/(-4*(sqrt(768) + sqrt(768)*-2 + (1*sqrt(36))\/sqrt(3))) + 1.\nAnswer: 1 + 48*sqrt(3)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 525 minutes after 4:19 AM?\nAnswer: 1:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {k: 2, p: 6, q: 4, w: 1}. What is prob of picking 4 p?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose r + 368 + 498 = o, 0 = -2*r - 4. What are the prime factors of o?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -75329 - -75334. Suppose -4*o = 39 - 183. Sort -4, o, f in descending order.\nAnswer: o, f, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -24360*g - 1281.\nAnswer: -24360","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 1151278625 to the power of 1\/2, to the nearest integer?\nAnswer: 33930","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 48 and 264.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*y + 0*n + 2*n = 1, 4*n = 3*y - 7. Let v be -1 - (y - (2 - 2)). Let f = 6 + v. List the prime factors of f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*o - 5*h - 5 = 0, 7 = -0*o + o - h. Let u be (1 + -4)\/(4\/(3 + -7)). Let b(m) = -m - 7. Let x be b(-10). Solve q + o = -k - u*q, -k = -2*q - x for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(g) = -4*g + 47. What is the remainder when s(7) is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 71 minutes after 5:31 PM?\nAnswer: 6:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 5181 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 38 and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (1 + -4)\/(5 + (-28)\/5). Solve 2*q - 3 = -x, -2*n - q - 1 = 0 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 28938508 and 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*w = w - 5*o - 4, 2*o = 5*w + 6 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-1)\/1*(-23 + -4). Suppose -3*u - n = 45. Let g = 34 + u. Solve h = -h - g for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 3 + -87789085355392\nAnswer: -87789085355389","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 19334535 divided by -1.\nAnswer: -19334535","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*h - 3*c - 17 = 0, -2*c = -2*h + 2*c + 20 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let f(a) = 304*a**3 + 2*a**2 - a - 3. Let t be f(3). Suppose 29*c = 32*c - t. Round c to the nearest one hundred.\nAnswer: 2700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: 24303 (base 5) to base 9\nAnswer: 2451","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 2309606?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Divide 17701 by -3031.\nAnswer: -17701\/3031","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 5.10752 rounded to 0 dps?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*n - t - 14 = 0, 2*n + t = 3*n + 1 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 192b + -202?\nAnswer: 1729","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*u - u + 2*u + (-3 + 0 + 5)*(0*u + u + 0*u) + (-2 + 4 - 1)*(u + 3 - 3))*(-450*u**2 + 2*u - u + 448*u**2).\nAnswer: -4*u**3 + 2*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Put together 4913135226775 and -0.1.\nAnswer: 4913135226774.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -30 - 10?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -7 + (-12 - (-23 + 6)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 5913713797 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 11344760 and 62736.\nAnswer: 68068560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*y + 158 = -5*x, -3*y = 2*x + y + 44. Let s = 34 + x. Suppose s*i - 4*t - 246 = -9*t, 0 = 3*i + 4*t - 185. What is the units digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -0.2, -0.1, 1, 3, 307?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -724*j + 326*j + 326*j + 6192 for j.\nAnswer: 86","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*u + 3 = -u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let q(n) = -1074*n + 247011. What is q(230)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*k - 7*o + 253 = -38, 2*o = -2*k + 144. Calculate the remainder when 131 is divided by k.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*d - 2 - 3. Let c = 4 + d. Are 4 and c equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 1*44\/(-8 + 4). Let y = -0.035 + 0.002. Let n = -1.033 - y. Which is the nearest to n?  (a) 0.1  (b) g  (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1 + (-9 - (-4 + 1 - -11)).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -3757\/10 + 376. Which is bigger: -1 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2 - 6012*m**2 + 20035*m**2 - 26*m + 26*m.\nAnswer: 14023*m**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 356\/(-156) + 2 + 8\/(-6). Suppose 0 = -r - 3*r - b - 11, 2*r + 11 = 5*b. Is r at most o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -13 - -18. Let s = 5.4 - j. Let k = s - 0.405. What is k rounded to three dps?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 2  (b) -3\/10  (c) -3  (d) -0.0008\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let w(u) = -67*u + 1. Let l(z) = -5*z. Let o(v) = -26*v. Let t(i) = -20*l(i) + 4*o(i). Calculate w(t(y)).\nAnswer: 268*y + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((t**(-7\/3)\/t**(-2\/5))\/(t**(-1)*t*t**(-1\/4)))\/((((t**(2\/9)\/t)\/t)\/t*t)\/(t**(-6\/5)*t))**(-28) assuming t is positive.\nAnswer: t**(-1651\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -3311, -3299, -3279, -3251, -3215, -3171, -3119?\n\"Answer: 4*z**2 - 3315","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*o = 2*u - 49, 0 = 4*o - 5*u - 20 - 6. Suppose 0 = 4*w - w - o. Factor 0*j + 4\/5*j**2 - 2\/5*j**4 + 0*j**w - 2\/5.\nAnswer: -2*(j - 1)**2*(j + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -106 - -10. Let o = c + 312. List the prime factors of o.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -5 + (4 - 4) + 2.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o(x) = x**3 + x**2 - 3*x - 4. Let m(p) = p**3 - p - 1. Let g(c) = 2*m(c) - o(c). What is the units digit of g(2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 22376 and 888.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let i(z) = z + 3. Let s be i(-3). Suppose -5*l + 25 = -0*l. Solve w + s*j - 8 = 2*j, -j = -l*w + 22 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 2551 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 2861563561?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let z be ((-2)\/(-6))\/((-4)\/(-72)). Let a = 8 - z. Find the third derivative of 6*q**5 + q**5 - 9*q**2 + 12*q**a wrt q.\nAnswer: 420*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -2279b2 (base 12) to base 13\nAnswer: -164726","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a(t) = -t**3 - 1. Let q be (4 + 143\/(-33))\/((-1)\/15). Let j(l) = -2*l + 3. Let o(c) = c - 2. Let y(z) = -2*j(z) - 5*o(z). Let r be y(q). What is a(r)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 16518, 66053, 148610, 264189, 412790, 594413?\nAnswer: 809058","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k be ((-450)\/(-2))\/((-2)\/72000). Round k to the nearest 1000000.\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 115*l + 95*l - 133*l - 385 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -c + 5*n = -20463, 20442 = -4*c + 5*c + 2*n. Suppose c = 7*f - 5837. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 6561640*-0.6.\nAnswer: -3936984","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence oee when three letters picked without replacement from eeeeeooeppiooooiiiol.\nAnswer: 7\/228","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let m(r) = -2318*r**2. Let o(l) = 2*l**2. Determine o(m(x)).\nAnswer: 10746248*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x\/(x\/(x\/(x\/x**(2\/45))))*x*x\/(x*x\/x**(-4\/5)))\/((x*x**(-6))\/x*x**(-2\/5)) assuming x is positive.\nAnswer: x**(254\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Add together 21.24 and 22318075341.7.\nAnswer: 22318075362.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1692\/423*((-7)\/(-54))\/(-7).\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 38 is divided by (-141)\/(-7) + 3\/(-21)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 1436\/32 - 1\/(-8). Suppose -24*p + 3 = -y. Suppose -11 = -2*g + 5. Solve -5*c - g = p for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.7 in 859, -1, -4, 67, 2\/13?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 1 - -2. Suppose 4*g = z*g + 2. Let p(u) = g*u**2 + 0*u**2 + 2*u**2 - 3*u**2. Let t(o) = -4*o. Calculate t(p(b)).\nAnswer: -4*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6 = 5*h - 24. Suppose 15 = 3*i + h. Solve -3*a - i = -0 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 19332?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*r + 30 + 14 = 0. Suppose 16 = 2*d + 2*y - 7*y, 4*d - 5*y - r = 0. Solve -2*m + v + d - 1 = 0, -7 = -m + 2*v for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 12 a factor of -109 - -107 - -2*493?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 1\/2050  (b) 1\/4  (c) -0.0469  (d) 0  (e) 2\/11\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1\/(-25)*(-1524000)\/(-134112)?\nAnswer: -5\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f(d) = -d**3 + d**2 + 1. Let y(x) = 64*x**3 - 72*x**2 - 72. Let v = 1652 + -1508. Calculate v*f(u) + 2*y(u).\nAnswer: -16*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((l*((l*l\/(l\/l**(-14)))\/l)\/l)\/l**(-13))\/((l**(5\/4)\/l)\/l**(-4\/3)) assuming l is positive.\nAnswer: l**(-31\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 17*u = 22*u - 15. Suppose 219 = u*q - 204. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5*y**2 - 71 + 4*y**2 - 279 + 13.\nAnswer: -y**2 - 337","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 3*h**3 + 4*h**2 - 7*h**3 - 6*h**3 + 4*h**2 wrt h.\nAnswer: -60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(r) = 3*r**2 + 14*r**3 - 4*r**2 - 9*r**3. Let b(o) be the third derivative of -o**5\/60 - o**4\/3 - 8*o**3\/3 - 51*o**2. Let u be b(-5). What is y(u)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 32850, -1, -32 in decreasing order.\nAnswer: 32850, -1, -32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -224867\/6 - -37477. Which is the fifth biggest value?  (a) 11\/7  (b) 0.4  (c) 0.1  (d) v  (e) -2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:38 AM and 6:55 PM?\nAnswer: 617","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: (29 - 37) + (-3 - (-1 + -1))\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x(c) = -13*c**2 + 146*c - 398. Determine x(6).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let f(y) = 2*y**3 + 2*y**2 + 5*y + 3. List the prime factors of f(5).\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -2*o**3*q**2 + 2*o**3 + 2*o**2 - 84585*o*q**2 - o - 631 wrt q.\nAnswer: -4*o**3*q - 169170*o*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 131e (base 16) in base 15?\nAnswer: 16b4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 24 - 22. Calculate the highest common divisor of t and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 1608 and 476906.\nAnswer: 5722872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from zuuzumzuzuzzzmu. What is prob of sequence zz?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4822617005.\nAnswer: 5, 41, 719, 32719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is -1 > 287\/2344?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-13 - -60) + -129 + 118?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -n - 2*n - 9. Let g be 3 + n + 5 + -3. Suppose -5*p = -g*p. Solve p = -y - 0*y + 2 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1216518?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 604.7 + -605. What is the nearest to g in -2\/3, -5, -0.5, -3\/4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from otouuolouoouuloouj. Give prob of picking 2 l.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*s - 5*o = -s + 29, 10 = 5*s - 4*o. Let h = 16 - s. Is h a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(j) = j - 2. Let v be i(4). Suppose 2*x - 153 = -3*c, v*c - 84 = -x + 19. Let k(h) = h**2 - 62*h + 906. What is the remainder when c is divided by k(39)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -7, -2, 13, 44, 97, 178, 293?\nAnswer: 448","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -275 - -282. Suppose -v + 35 = d, 2*v = 5*d - a + 112. What is the remainder when 148 is divided by v?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of ((-14)\/126 - 3435\/(-33588))*(7 + 0) and 9\/4.\nAnswer: 1244","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(h) = 18 - h - h**3 - 15 - 3*h + 4*h**2. Let l be b(2). What is the derivative of -8*f**l - 6 + 14*f**3 + 0*f**3 wrt f?\nAnswer: 18*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 223\/669*(-6)\/(-22)?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(f) = 1043*f + 233. What is the thousands digit of h(3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {d: 1, h: 1, i: 1, v: 1, b: 1}. Give prob of sequence ivb.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -5\/246 and 133\/354.\nAnswer: 14514","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -21 or 0.09?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 38*j = -7*j + 10*j + 70. Sort -5, j, -3, -29, 0 in increasing order.\nAnswer: -29, -5, -3, 0, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 17 + -10. Let l(i) = -5*i**2 - i - j*i + 3*i + 8*i + 2. Let r(t) = -14*t**2 + 8*t + 6. Give 8*l(x) - 3*r(x).\nAnswer: 2*x**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*m**5 + 0*m**4 + 0*m**4)*(-1 + 3 - 3).\nAnswer: 3*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -2\/471802263 or 0?\nAnswer: -2\/471802263","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4*-320.\nAnswer: 1280","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 33495\/(-8932)*1\/9*-2. Let k(t) be the third derivative of m*t**3 - 7\/24*t**4 + 0 - 3\/20*t**5 + 0*t - 1\/120*t**6 + 23*t**2. What is k(-8)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 13 + -8. Suppose h - 2*u - 19 = 4*h, -3*h + 5*u - 5 = 0. Let l be (-2)\/(-24) + (52521\/(-1260))\/61. Sort j, l, h in decreasing order.\nAnswer: j, l, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*c**4 - 72*c**3 + 402*c**2 - 328*c.\nAnswer: -2*c*(c - 4)*(c - 1)*(c + 41)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -2*s**5 + 101*s**4 + 189*s.\nAnswer: -40*s**3 + 1212*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 15299995751 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 3.8965 - 3.31983. What is n rounded to 2 dps?\nAnswer: 0.58","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 5535?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((p*p*p**(5\/4)\/p)\/(p\/(p\/p**(-2)*p*p)))**(-2\/11) assuming p is positive.\nAnswer: p**(-25\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ybjj when four letters picked without replacement from {y: 2, b: 1, j: 14}.\nAnswer: 13\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let v(p) = 3*p - 1. Let y(t) = -t**3 + 4*t**2 + 4*t + 8. Let q be y(5). Determine v(q).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o*o**(-2\/7))**(1\/24)*(o**(-2))**(-25) assuming o is positive.\nAnswer: o**(8405\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 10\/1118593 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -29*b**3 + 14691 - 4*b + 14688 + b - 29373 to m*b**3 + u*b + y + l*b**2 and give m.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 28080511 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*1*sqrt(700)*-3)**2.\nAnswer: 25200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 1821 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -13498\/13 - -13295309\/12805. What is the common denominator of -13\/305 and l?\nAnswer: 60085","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.74 + -87836.53.\nAnswer: -87835.79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*h = 25, 0*h = -4*b - 3*h + 15. Solve -5*y + 5 + 5 = b for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -426 divided by 1867?\nAnswer: -426\/1867","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, 75, -2, 2, 3, 5, 13 in increasing order.\nAnswer: -4, -2, 2, 3, 5, 13, 75","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 3026*a**3 + a**2 + 306*a + 283228956 wrt a?\nAnswer: 9078*a**2 + 2*a + 306","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 1436*o**3 + 1672*o**3 - 3109*o**3 + 120*o**2 + 7882*o**4 + 8 wrt o.\nAnswer: 189168*o - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -13*a + 12*a. Solve -3*u = -a*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 280960 and 6.\nAnswer: 842880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is x in -50*x**2 - 51604*x - 4128 = 0?\nAnswer: -1032, -2\/25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: 128\/(-112)*-56*10\/20\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, 14, -9, -5579 in ascending order.\nAnswer: -5579, -9, -1, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 15734.85602 and -0.3?\nAnswer: 15735.15602","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 455*i**2 + 2*i**3 - 30*i**2 + 210*i**2 to z*i**3 + y*i + s + m*i**2 and give m.\nAnswer: 635","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-12)\/(-10))\/(18\/630)?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"}
{"text":"Question: Suppose -12 = 2*w + 4*y, 4*y - 3*y - 2 = -3*w. Suppose w*m + 58 = o - m, 332 = 5*o - m. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence mgg when three letters picked without replacement from guuumpug?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 28196 - 14099 - 1681*d - 14097 to p*d + g and give p.\nAnswer: -1681","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -25 + 28. Put 17, j, -5 in decreasing order.\nAnswer: 17, j, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(v) = -3*v + 26. Suppose w - 86 = -2*t, t - 2*w - 48 = -0*t. Let m = t + -36. Let j be d(m). Solve -3*c = -4*q - j, c + 0 = -2 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(a) = a - 6. Let c = -243 + 237. Let m(o) = o + 26 - 64 + 31. Give c*m(z) + 7*r(z).\nAnswer: z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let f(a) be the second derivative of -a**3\/6 + 3*a**2 - a. What is the units digit of f(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -169 = -3*t + 5*n, 4*n - 257 = -5*t - 0*n. What is the remainder when t is divided by 19?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1 - 1615*p + 1621*p - 1.\nAnswer: 6*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {s: 10, k: 2}. Give prob of sequence sks.\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -0.1399 - -0.1399006659. What is d rounded to seven decimal places?\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 166986 is divided by 15?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -n - 2, -4*n - 2 = -p - 2*n for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 124\/3 + -374\/9. Let v = 5 + -2. Let u = v + -2. What is the closest to u in t, -3, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 1421325, 2842739, 4264153, 5685567?\nAnswer: 7106981","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-12)\/(-16))\/(-1*18\/24).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -2369, -2530, -2703, -2894, -3109, -3354?\n\"Answer: -v**3 - 154*v - 2214","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q(p) = -p - 1. Let m(i) = -7*i - 8. Suppose -10 = 2*x, 0*x + 3*x = 2*c - 13. Let l(z) = c*m(z) + 6*q(z). List the prime factors of l(3).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: 154 (base 6) to base 15\nAnswer: 4a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -4  (b) -8  (c) 0.2  (d) -1\/6  (e) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let k(v) = -v**2 - 2*v + 2. Let a be k(-2). Let w be 3\/(-5 + a)*-11. Calculate the greatest common factor of w and 77.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 6 - (-3)\/(-6)*6. Solve -4*y + 5 = -5*x - 3, z*y - 6 = -2*x for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 29\/120592 and 151\/1290.\nAnswer: 77781840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:17 AM and 2:13 PM?\nAnswer: 416","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 6161*d**4 - 3067?\nAnswer: 24644*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let j(y) = -y**2 - 5*y - 2. Let t be j(-4). Suppose 5 = t*d + q, 2*q = -2*q + 4. Suppose 1 + 11 = 3*i. Solve -d*a = -0*a - i for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(d) = -48*d - 7. Let y(i) = -24*i - 4. Calculate -3*c(t) + 5*y(t).\nAnswer: 24*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*a - x - 24 = -38, 5*a - 11*a = -0*a - 5*x + 86 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Does 22 divide 282 - (5\/(-10))\/(2\/(-20))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose b + 2 = 3*t + 3*b, 0 = 5*t + b - 15. Differentiate -5*m**t - 5 - 8*m**2 + 8*m**2 - 1 wrt m.\nAnswer: -20*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 531085 is divided by 528869.\nAnswer: 2216","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Divide 73676376 by -107714.\nAnswer: -684","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 390778?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 2 - (-3)\/(12\/(-56)). Let b = 14 + w. Sort 0, b, 1 in decreasing order.\nAnswer: b, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 129136093 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 581 minutes after 1:26 PM?\nAnswer: 11:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -38\/149 in 0.1, 2, -2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 2353963 greater than or equal to 2353963?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let w(f) = 4791*f - 886327. Give w(185).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence df when two letters picked without replacement from {d: 1, j: 1, a: 1, f: 1, h: 3}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 28414268 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: Suppose -768 = -28*i + 4*i. Calculate the remainder when (2 - i\/10)\/((-22)\/1925) is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -5022, -10033, -15046, -20061, -25078, -30097, -35118?\n\"Answer: -h**2 - 5008*h - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 3\/((1020\/100)\/17)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 11811635?\nAnswer: 5, 11, 19, 89, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Express (-3*r**4 + r**4 - 2*r**4)*(470 - 4940 + 666) in the form q + d*r**2 + o*r + t*r**3 + k*r**4 and give k.\nAnswer: 15216","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (124\/(-8))\/((-10)\/12)*865. Suppose 5*j + m = 5*o + j, j + 3217 = o. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 3*((8\/(-12) - -4) + -2). Find the second derivative of -12*x**4 + 9*x**4 - 8*x + f*x**4 + 3*x**5 - 4 + 3 wrt x.\nAnswer: 60*x**3 + 12*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(p) = -47*p**2 + 6*p + 11. Let f(x) = 8*x**2 - x - 2. What is -34*f(c) - 6*n(c)?\nAnswer: 10*c**2 - 2*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let t(v) = 2*v**3 + 10*v**2 - 12*v - 16. Let d be t(5). Let q(p) = -424*p - d*p + 849*p. Let w(a) = 46*a**2. Calculate w(q(r)).\nAnswer: 46*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (6*(-3*sqrt(605)*-1 - sqrt(605)))**2 + -4 + sqrt(605)*2*-4 + (4*(sqrt(605) + 1))**2.\nAnswer: 264*sqrt(5) + 96812","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*w + 3*j = -19 + 44, 0 = 5*w - 5*j - 5. Solve 0 = -5*q - z - 2*z - 9, w*q - 3 = z for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.12 in 10, -1\/6, -7\/2, -1\/3, 3?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is -4078804 at least as big as -4078804?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (744\/496)\/(4\/(-1136)*-6).\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 69 - 1170*p**3 - 1169*p**3 + 5*p - 4*p**4 - 9*p + 2354*p**3 + 5*p**4 to the form t + o*p**3 + i*p**4 + a*p**2 + h*p and give o.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let g(p) be the first derivative of -p**6\/3 + 6*p**4 - 26*p**2 - 59. Find the second derivative of g(q) wrt q.\nAnswer: -40*q**3 + 144*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3.6578*-0.27.\nAnswer: 0.987606","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*n**4 - 12*n + 12*n)*(-3 + 4 - 2)*(-45 + 32 + 20)*(-5 + 3 + 3).\nAnswer: -28*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 15973, 16771, 17579, 18403, 19249, 20123, 21031, 21979?\n\"Answer: w**3 - w**2 + 794*w + 15179","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z(j) = 3*j + 28. Let o(m) = -4*m - 42. Let t(k) = 5*o(k) + 8*z(k). Let v be t(-3). Sort -3, -8, v in decreasing order.\nAnswer: v, -3, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -216 + 223. Let y(m) = -m**3 + 5*m**2 + 7*m - 12. Let i be y(o). Sort 4, 1, i in increasing order.\nAnswer: i, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(n) = n**3 - 17*n**2 - 137*n. Calculate y(-6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -1\/4  (b) -0.4  (c) 9  (d) -2099\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 14267 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (6\/(-15))\/(-1) - 18\/(-5). Solve -20 = -q*g - 8 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2377 to the power of 1\/3, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 116*j - 2464 - 2872. What is the closest to 0 in j, -4, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 0.1034 + -0.0034. Which is the second biggest value?  (a) -1\/2  (b) k  (c) -4\/3  (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1 in 3, 0.053, -3?\nAnswer: 0.053","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 236121 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ce when two letters picked without replacement from lqceq?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -21, -83, -193, -357, -581, -871?\nAnswer: -1233","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 5 and 863?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 55\/44133 and -97\/176532.\nAnswer: 176532","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*b - 4*b - 16 = 0. Let r be 8 + b + 4\/2. Suppose -r*y - 1 = -11. What is the units digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2 = d, 0 = 4*m - 5*d + 22 + 8. Let w(a) = a + 8. Let f be w(m). Sort 12, -2, f in ascending order.\nAnswer: -2, f, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 1032 and 215?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*l + l + 12 = 0. Let x(q) = -5*q - q**3 - 4*q**2 + 14*q**2 - 5 - 3*q. Let a be x(9). Solve l = -a*y - 4 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (5 - 4)\/((-1)\/(-2)). Solve 4*n - 3*h = -8*h + 17, 5*n - 13 = z*h for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -6, -22, -40, -54, -58, -46, -12?\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o(h) = 99*h**2 - 1173*h - 158. Calculate o(12).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 53\/90820 and 2\/22705.\nAnswer: 90820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 2.12, -5, -1, -4, -13?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -22.89951 + -1.67239. Round q to one dp.\nAnswer: -24.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(q) = -8*q + 2. Let s be o(-2). Suppose 6*x - 26 = -140. Let t = x + s. Sort -3, 4, t.\nAnswer: -3, t, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from cccc. Give prob of sequence cccc.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -49*m + 726 = -1069 - 802 for m.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.02 - 153.\nAnswer: -153.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 6 a factor of 354?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2343319 is divided by 31?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3*((sqrt(32)*-5 + 2)**2 - ((-2*sqrt(50))**2 - (sqrt(8) - -2*sqrt(8)))) + 2.\nAnswer: -1810 + 222*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 43*p - 19*p + 1747*p**2 - 26*p + 3441*p**3 wrt p.\nAnswer: 20646","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.082, -0.4, -2, 4 in ascending order.\nAnswer: -2, -0.4, 0.082, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 53 + 24. Let i = -209 + r. Let f = -107 - i. Is 25 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 97092584.\nAnswer: 2, 19, 638767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let q(v) be the first derivative of 13 + 1\/2*v**2 + 0*v. Let r(t) = 10*t**2 + 5 + 72*t**2 - 5. What is r(q(o))?\nAnswer: 82*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 f and 1 c when two letters picked without replacement from fffcfffffffffff?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -242 + 246. Factor -357 + 34*t**2 + 15*t - d*t - t + 4*t + 337.\nAnswer: 2*(t + 1)*(17*t - 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: -365032 (base 7) to base 3\nAnswer: -10101022101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((t**(-6\/7)*t)\/(t\/t**0))**1*(t\/(t\/(t\/t**(-2\/3))))\/(t**(-4)\/t)*t**(2\/13)*t*t*((t*t*t\/(t*t**(-5)))\/t)\/t assuming t is positive.\nAnswer: t**(3539\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4668*u + 5*z + 17 = 4667*u, 2*u + 3*z + 13 = 0 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let c(t) = 2*t - 5 + t**3 + 3 - 4*t**2 + 7*t**2. Let p be c(-2). Let a(y) = y + 2. Give a(p).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 4655 or -1630?\nAnswer: -1630","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 124.6 - 124.5996. What is x rounded to 5 dps?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 21*(-163)\/(-34230)*(-4)\/17.\nAnswer: -2\/85","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4 + (sqrt(120)\/sqrt(3))\/sqrt(2))*-1 + -5.\nAnswer: -9 - 2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -2.07 - -0.07. Which is smaller: g or -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (546\/540 + -1)*8 - 8\/(-60). What is the closest to 69 in -0.05, a, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -79478, 2\/17, 3\/2, 249, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*u - 4*f = -5*u - 25, -5*f + 30 = 0 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from kggwgapapkug. What is prob of picking 1 k, 1 g, 1 a, and 1 w?\nAnswer: 16\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -12*b + 21*b - 648. Calculate the highest common divisor of 180 and b.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 550115225?\nAnswer: 5, 11, 67, 73, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 40 = 5*f - 5*i, -1935*f + 1930*f - 2*i = -12 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*k = -3*b + k + 260, -5*b - 3*k = -440. What are the prime factors of (-7)\/28 + b\/4?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3120.958ng in micrograms?\nAnswer: 3.120958","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 692759957 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -13 - -8. Let r(i) = -3*i + 9. Let q(j) = 3*j + 4*j - 6 - 5*j + 1. Suppose -4*w - 2*s - 12 = 0, 0 = w - 3*w + 2*s - 6. Calculate o*q(f) + w*r(f).\nAnswer: -f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*j = 5*r + 25, -r + 6*r + 25 = 0 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand -19*x + 15*x + 10*x + (-3 + 0 + 0)*(-x - x + x) + (6 - 3 - 2)*(-3 + 3 + 2*x) + 0*x - x + 3*x + 6*x - x - 3*x + (-3*x + 2*x - 4*x)*(1 + 4 - 4).\nAnswer: 10*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 1\/((-6)\/(-27)) + -3. Let s = v - 1. Let n = 0.05 + -0.25. Which is the third smallest value?  (a) n  (b) s  (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -1001 - 1001101110?\nAnswer: -1001110111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-6)\/22)\/((-57)\/(-38)).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h(q) = -3*q**3 + 21*q**2 - 14*q - 9. Give h(6).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Round -76900 to the nearest 100000.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-850)\/(-510))\/((-280)\/(-189)).\nAnswer: 9\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 16994 and 879.\nAnswer: 293","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let w(z) be the first derivative of 2*z**5\/105 - z**4\/42 - 16*z**3\/63 + 4*z**2\/7 - 368. Factor w(i).\nAnswer: 2*i*(i - 2)**2*(i + 3)\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 60669, 119380, 178093, 236808, 295525, 354244, 412965?\nAnswer: 471688","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s(m) = -2*m**3 + 81*m**2 - 501*m - 144. Give s(8).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Factor -t**2 + 179*t + 2910.\nAnswer: -(t - 194)*(t + 15)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Are 12\/1591 and -5 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 128*w + 880*w - 25121 - 13026 = -23*w for w.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*p = 5*q - 19, 147*p - 150*p - 36 = 15*q - 15*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -0*i + 10*i - 30 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ngff when four letters picked without replacement from nfffnfzngggfnnzfnzg.\nAnswer: 5\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let v(m) be the third derivative of -m**7\/490 + 5*m**6\/56 - 27*m**5\/35 + 41*m**4\/14 - 40*m**3\/7 - 20*m**2 - 11*m - 1. Determine a, given that v(a) = 0.\nAnswer: 1, 2, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 17919, 71886, 161903, 287970, 450087, 648254, 882471?\n\"Answer: 18025*f**2 - 108*f + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w(j) be the second derivative of j**6\/180 - j**4\/6 - 2*j**3\/3 + 6*j. Let c(b) be the second derivative of w(b). What is the derivative of c(r) wrt r?\nAnswer: 4*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 n and 1 w when three letters picked without replacement from {d: 1, n: 4, m: 1, u: 3, w: 2}?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1626172 is divided by 1787?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ww when two letters picked without replacement from rrwcqjqcqq?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4415 - 11425 = -194*a - 35*a - 11*a for a.\nAnswer: 66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -6 - -11. Let m = 0.2 - 0.2. Let j = m - 0. What is the nearest to j in -4, -1\/3, r?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 56 and 23996.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0 (base 6) to base 15.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -5\/3 or -1298?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 13411 (base 7) in base 10?\nAnswer: 3634","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -44 + 107. List the prime factors of v.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j**(-3)*j*j)\/j**(-10)*(j**2*j)\/j**7 assuming j is positive.\nAnswer: j**5","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 115143380 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 6 + (-26 - -21) + -30 + 32.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 441915 a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 35000460 and 35000460?\nAnswer: 35000460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -136 + 48 = -2*f. Suppose i - 5*i = -f. Solve -5*t - z = -0*t + i, 0 = 4*t + z + 9 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3911467 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*b + 598 = 42*q - 44*q, b - 309 = 3*q. Is 308 less than or equal to b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 20*f**3*m**3*u + f**3*m**2*u - 3*f**3*u**2 + 10*f**2*m**3*u**2 + f*m**3*u + 2*m**3*u wrt u.\nAnswer: -6*f**3 + 20*f**2*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let r(n) = n**2 + 15*n - 5. Let u be r(-16). Suppose 6 = u*x - 5*x. Let a(i) = 113*i**2 + i. What is the units digit of a(x)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-266)\/(-171)*-3*6.\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ikviiikvr. Give prob of sequence kik.\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 t and 1 p when three letters picked without replacement from tpitptd.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is -251994 divided by -2?\nAnswer: 125997","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let v(l) = -31*l - 4586. Let r be v(-148). What is y in -2*y**r + 1\/3*y**3 - 4\/3 + 3*y = 0?\nAnswer: 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (2*o - o - 2*o)*(0 - 1 + 0)*(-5 - 6 - 7)*(2*o + o - o) as c*o + m*o**2 + y and give m.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: 70608 divided by 5884\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 492 minutes before 9:31 PM?\nAnswer: 1:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Find m, given that -m**3 - 13*m**2 - 16*m + 192 = 0.\nAnswer: -8, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2\/7?  (a) 4  (b) -2\/11  (c) 14  (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let z be -9*((-10)\/(-3) + -3). Let f be 4 - (6 + z)\/(-3). Put f, 3, -5 in increasing order.\nAnswer: -5, 3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 4\/(-6) - (-17)\/3. Suppose -1 - h = -3*v. Let s be (1502 - v)*(-28)\/10. What is s rounded to the nearest one thousand?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -188 + 205.1. Let d = l - 17. Let u = 4.7 - 5. What is the nearest to d in 3, 2, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 12940 by 3235.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2 + 1 + 1 - 64*c**3.\nAnswer: -64*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose l = -z + 13, z = -19*l + 21*l - 23. Calculate the lowest common multiple of l and 328.\nAnswer: 984","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1404102.37 + 1.9.\nAnswer: 1404104.27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 665 minutes after 1:23 AM?\nAnswer: 12:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 109*n - 106*n = 0. Put -3, n, 5, 4 in ascending order.\nAnswer: -3, n, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 9 + -7. Is 2\/4 + 117\/y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(y) = 13*y + 7. Let k(r) = 10*r - 4. Let d(p) = 2 + 3 + 9*p - 8. Let t be 2\/17 - 348\/68. Let z(s) = t*k(s) + 6*d(s). Determine -2*f(x) + 7*z(x).\nAnswer: 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 60 minutes before 9:05 AM?\nAnswer: 8:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 10 - -1 - (1 - 0). Let b(n) = n + 8. Let j be b(-3). Suppose -5*r - y = -j*m, m - r + 6*r = 26. Calculate the remainder when 9 is divided by m.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c**(2\/3)\/(c\/(c*c**(2\/3)*c)*c)*(c**(2\/3))**(-3\/5))**(2\/9) assuming c is positive.\nAnswer: c**(28\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -257207, 3\/5, -2, -4, 3, 4?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2 (base 16) to base 11.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: 9185163 divided by -3061721\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 101\/1339112 and -101\/80346720.\nAnswer: 80346720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 182 to the power of 1\/3, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let -243*u**5 - 18927*u**4 - 86565*u**3 + 11723*u**2 + 8448*u - 1460 = 0. Calculate u.\nAnswer: -73, -5, -1\/3, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 60532626 to the nearest integer?\nAnswer: 7780","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*b**3 + 3460410*b**2.\nAnswer: 3*b**2*(b + 1153470)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 + 2*u + 2)*((-3*u + 0*u + 4*u)*(-7*u**3 + u**3 - 4*u**3) - 2*u**4 + 4 - 4).\nAnswer: -24*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-6 - 18 + 10)*(-2*b + 8*b - 2*b - 2) to j + q*b and give q.\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 3493545 to the nearest integer?\nAnswer: 152","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-6)\/9*(-6)\/(-4). Let t(o) = -o**2 + 8*o - 8. Let p be 11\/2 + (-4)\/(-8). Let s be t(p). What is the smallest value in 2, c, s?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 420 at most as big as 422?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -16 and -4.589?\nAnswer: 73.424","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -18 = 5*w - 4*i, 4 = -4*i - 8. Let l(x) = x**2 + 5*x - 3. Let p be l(w). Solve 0 = -4*c - p*y - 29, 0 = 2*c + 2*c - 4*y + 8 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 45*k + 10 - 55 = 0. Let i be ((-58)\/(-203))\/(k\/35). Solve 6*l + i = l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence btbt when four letters picked without replacement from {t: 9, b: 5}.\nAnswer: 60\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let l(d) = 1268126*d**2 - 128*d - 528. Let n be l(-4). Round n to the nearest one million.\nAnswer: 20000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -11*n**2 + 18*n**4 + 48*n**3 + 12*n**2 - 21*n**4 in the form i*n**3 + t*n + v*n**4 + b*n**2 + z and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-441)\/98*(-94)\/12 - 4\/16.\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(z) = -115*z. Let w(p) be the third derivative of -p**5\/15 + 2*p**2 + 144*p. Give w(b(u)).\nAnswer: -52900*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.51464 rounded to 1 dp?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 115 minutes before 11:09 AM?\nAnswer: 9:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:38 AM and 12:09 PM?\nAnswer: 331","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-r**2 - 2*r**4 + r**2)*(-1 + 0 + 0)*(5 - 1 - 2)*(152*r - 11430 + 11430).\nAnswer: 608*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Work out 2025 * -0.5304.\nAnswer: -1074.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -24*r**3 + 6*r**2 + 25*r**3 - 6*r**2.\nAnswer: r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 7806 and 45?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: 232123130 (base 4) to base 7\nAnswer: 1421303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*f + 2*t + 2*t + 132, -5*f + t = -145. Calculate the remainder when 81 is divided by f.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: 4 + (19 - 33) + (-1 + -6 - -39)\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n(y) = -14490*y**3 + y**2 - y - 3. Is n(-1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00241057 rounded to 5 dps?\nAnswer: -0.00241","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 183236 is divided by 36646.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify s**(2\/35)*(s**(5\/4)*s*s)\/s*s*(s\/s**(-1\/3))**(5\/3) assuming s is positive.\nAnswer: s**(6967\/1260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 280 and 1825712?\nAnswer: 9128560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 7\/3 of a decade in months?\nAnswer: 280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 4*(-14)\/2464*14*7\/((-147)\/9).\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 0 + 0 + 2*n + (2*n + n - 2*n)*(2 - 2 + 2) - 2*n + 5*n - n + 3*n - 1 + 1 + (7 - 1 + 1)*(n + 0*n + n) - 1 + n + 1 to the form d + y*n and give y.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let n(d) = 18*d + 10. Let y be n(7). Let v(m) = -m**3 - 5*m**2 - 2*m + 7. Let t be v(-5). Calculate the greatest common factor of y and t.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: 137 (base 14) to base 6\nAnswer: 1045","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1457?  (a) 4  (b) -1339  (c) 0.7  (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-18 + (-380)\/(-20))\/(-1 - -2).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: -24 + 20 + -1 + 9\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -7911634, -15823269, -23734904, -31646539, -39558174?\nAnswer: -47469809","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 3794076 and 429?\nAnswer: 3794076","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: 20 - -168*4\/(-12) - 9\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1042503 is divided by 40096?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from rrxrrrrruhxxrxxhxu. Give prob of picking 2 h.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*b + 16 = -0*d + 5*d, 0 = -3*d - 3*b for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (21\/(-3))\/(0 + 1). Let p(j) = 9*j**2 + 7. Let t(q) = -5*q**2 - 4. Determine a*t(k) - 4*p(k).\nAnswer: -k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*d = -d. Let h(t) = -t**3 - t**2 + 10. Let l be h(d). Let b be (-6)\/15*l\/(-8). Is b > 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 498 by 3.\nAnswer: 166","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence rrr when three letters picked without replacement from {y: 2, s: 7, r: 3}.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((o**1*o)**(-40\/9)*o\/(((o**(-2\/13)*o*o)\/o)\/o)*o*o\/(o*(o\/(o*o*o**5*o))\/o))**0 assuming o is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 44789 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*u - 3 - 9. Let s be (4\/(-10))\/(12\/(-180)). Suppose 0 = 3*y - 12, -5*y = -z - 2 - 18. Solve z*f - u*f = -s for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 119553370.\nAnswer: 2, 5, 29, 412253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -233193*o*w**2 + 4*o*w - 2*o - 15*w**2 - 8104*w - 5 wrt w.\nAnswer: -466386*o - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 351 is divided by 89?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 111140709?\nAnswer: 3, 19, 41, 2503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 129248772?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let c(k) = -k**2 + 4*k + 10. Let j be c(6). Let d be 0 + -2 - 16\/j. Calculate the greatest common factor of d and 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -69*i**2 + 69*i**2 - 41*i**4 - 3*i**4 + 3*i**4 + i**4 + (-i + 3*i + i)*(i**3 + 2*i - 2*i) + 0*i + 0*i + 4*i**4.\nAnswer: -33*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -17181933*r + 2*t = -17181928*r - 12 - 2, 5*t = -10 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Convert 650.0605 micrometers to millimeters.\nAnswer: 0.6500605","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 298056959?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0000010226376 rounded to seven dps?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1618213 is divided by 10788?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*k**2 - 2*k**2 + 0*k**2)*(0*k**3 + 4*k**3 - 3*k**3) + 3*k**3 - k**3 + 4*k**5 - k**5.\nAnswer: 5*k**5 + 2*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -0.0107 + 3.0107. Which is the fourth smallest value?  (a) s  (b) -3  (c) 1  (d) -367\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_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: Convert 11 (base 3) to base 16.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u(k) = 10*k + 5. What is u(3)?\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 13*m - 9*m - 36 = 0. Which is bigger: 11 or m?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(l) be the second derivative of 223*l**4\/12 - 92*l**2 + 2*l - 184. Find the first derivative of f(d) wrt d.\nAnswer: 446*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3559784.\nAnswer: 2, 41, 10853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let z(l) = -29*l**2 + 11 + 50*l**2 + l**3 - l - 20*l**2. Suppose -2*h = -3*y + 12, -8 = 4*h - 0*y - 2*y. Determine z(h).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 429039922?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 7\/2 of a centimeter in micrometers?\nAnswer: 35000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n(p) = 2*p**2 + 1. Let i(j) = 3*j**2 + 83*j. Give i(n(k)).\nAnswer: 12*k**4 + 178*k**2 + 86","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v**(6\/19)*v*v\/(v\/v**(-7))*(v**39*v)**(-11))**(-6) assuming v is positive.\nAnswer: v**(50808\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 43 = 41*i + 305 + 230 for i.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -33 - ((-18 - (-11 - -15)) + 39)?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v(s) = 5*s + 21. Let w be v(-4). Let k = 9 - 4. Suppose d + d = 3*y + 1, -y - k*d + 28 = 0. Sort -2, w, y.\nAnswer: -2, w, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(t) = -t**2 - 16*t - 21. Suppose 4*p + 19 = 4*y + 7, -2*p - 14 = 2*y. Is z(p) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0 - 279*s**2 + 0 - 2159*s**2.\nAnswer: -2438*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v**(-3\/8)\/((v\/(v\/((v\/(v\/(v**(-3)\/v*v)))\/v)))\/v))\/(v\/v**(-7)*v\/((v\/(v**(2\/17)\/v))\/v)) assuming v is positive.\nAnswer: v**(-475\/136)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let n be -2 + 3 + 5 - 2. Suppose -k + 5*k = b, 0 = -5*b + n*k. Solve -3 = 3*s - b for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be -5*((-85)\/75)\/17. Let h = 14.96 - 18. Let p = 0.04 + h. Which is the closest to 1?  (a) p  (b) f  (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -49322834 - -1?\nAnswer: -49322833","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2335611445?\nAnswer: 5, 131, 3565819","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 342434 to the power of 1\/2, to the nearest integer?\nAnswer: 585","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 321626374?\nAnswer: 2, 397, 405071","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3520 = 345*y - 22010 for y.\nAnswer: 74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -35, -26, -17, -8, 1?\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 2738?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let c(g) = 47*g - 27. Let f(w) = -w - 5. Determine c(v) - 6*f(v).\nAnswer: 53*v + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Find x such that x**5\/4 + 21*x**4\/2 + 9*x**3\/2 - 235*x**2 + 213*x\/4 + 1845\/2 = 0.\nAnswer: -41, -5, -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 j, 1 h, 1 i, and 1 o when four letters picked without replacement from {j: 1, o: 7, h: 2, i: 7}?\nAnswer: 7\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 2*q**5 + 25452*q**4 + q - 98857.\nAnswer: 40*q**3 + 305424*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Sort -34, 3, -26, -5332.\nAnswer: -5332, -34, -26, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 4 y when four letters picked without replacement from iyiiyiiyiiyyii?\nAnswer: 5\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let q(r) = 5*r**2 - 2026*r + 47878. Calculate q(380).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let q(u) be the first derivative of 3*u**4 - 4*u**3\/3 - 19*u**2\/2 + 13*u - 15. Let y be q(7). Round y to the nearest 1000.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-15)\/10*(-2)\/1. Let s(u) = -3*u + 3 - x + 5*u. Let o(l) = 3*l**2. What is o(s(h))?\nAnswer: 12*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.004457821174 to five decimal places.\nAnswer: 0.00446","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 306*q + 2*m + 16*m = 307*q + 72, 3*m + 12 = -2*q + 6*m for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 82\/(-2*(-3)\/36). Suppose s + b = 100, 3*b = -5*s - 0*b + d. Let z = s + -31. What is the units digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 2*b*c*u**3 + 2*b*c - 39*b*u**2 - c*u**3 - 57*c with respect to b.\nAnswer: 2*c*u**3 + 2*c - 39*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -118066*a + 118066*a + a**2.\nAnswer: a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 666731?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 687893 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 4 in -0.06, 1\/5, 64?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-9 - -1)*(1 + -79). List the prime factors of (22 - 1)*o\/56.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 30558\/165 + (-1)\/5. Let g = 1176 + l. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -24 - -27. Suppose -2*p = -3*b - 16, 2*p - k*b + 19 = 7*p. Solve -p*c = r, 0 = 6*c - 5*c for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(s) be the first derivative of 0*s**2 - 12 - 5 - 19 + s**2. Let w(l) = -l - 1. Let k(i) = -6*i - 3. Let b(a) = k(a) - 3*w(a). Give d(b(j)).\nAnswer: -6*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -130 - -130.00532. What is k rounded to 4 decimal places?\nAnswer: 0.0053","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -13 + 18. Solve 8*m + f = 9*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 9 divide 25481772?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is -24 divided by 1225462?\nAnswer: -12\/612731","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: 11111010100010 (base 2) to base 3\nAnswer: 210222212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*l - 16 = 4*o + 128, -2*l + 2*o + 94 = 0. Suppose 0 = -3*m + 425 - l. Is 16 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2*sqrt(288).\nAnswer: -24*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-3)\/6*-2*((-2)\/(-1))\/38?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence wu when two letters picked without replacement from {i: 2, a: 1, w: 2, v: 2, n: 4, u: 1}.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2\/3, 250, 22, 6 in ascending order.\nAnswer: -2\/3, 6, 22, 250","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -6*((-7)\/(-2))\/7?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h(v) = v. Let f(z) be the third derivative of 7*z**4\/24 - z**3\/6 - 2*z**2. Let j(w) = f(w) - 5*h(w). What is the units digit of j(1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 607 minutes after 1:41 AM?\nAnswer: 11:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7*x = -6857 + 6976 for x.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is (3 - -11 - (15 + -9)) + -6 + -18?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {k: 1, e: 4, o: 1, r: 4}. Give prob of picking 1 e and 1 o.\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 109.0678 rounded to 1 dp?\nAnswer: 109.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.61 * -0.41.\nAnswer: 0.2501","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 41 and 75\/94.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -819*c**4 - 51747*c**3\/2 + 19524*c**2 + 124383*c\/2 + 17613 = 0 for c.\nAnswer: -5871\/182, -1, -1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -8*h**3 - 10*h**3 + 15*h**3.\nAnswer: -3*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.1?  (a) -0.45  (b) 3\/2  (c) -1190  (d) -0.34  (e) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*a - 139 = 3*k + 194, 0 = -3*k + 3*a - 357. Let z = k - -114. Put z, 1, -1 in descending order.\nAnswer: 1, -1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(l) = -l**2 - 4*l - 3. Let b be m(-3). Suppose -5*u - 2*s = -0*s - 98, -u - 4*s + 16 = b. Suppose 0*n - 5*n = -u. Solve 0*v - 12 = n*v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(j) = -138502 + 7*j + 69255 + 69247. Let o(t) = 7*t + 1. Calculate 5*o(y) - 4*q(y).\nAnswer: 7*y + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 14 - 26. Let w = q - -14. Let c = 2 - w. Is -2 smaller than c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 36 divide 3146?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, 440615, -4, -2.\nAnswer: -4, -2, 0, 440615","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 443 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -859 or -866?\nAnswer: -859","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 - z - 1)*(-5 + 5 + 3*z)*(4*z**3 + 0*z**3 - 5*z**3).\nAnswer: 3*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -h + 5*t = -3777, -3*h = -16*t + 19*t - 11331. What is the units digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be ((-818)\/6)\/(104\/(-6)). Let z = 9\/260 + h. Find the common denominator of 71\/2 and z.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*f - 13 = p - 16, -4*p + 4 = 4*f. Let b be (31 - 32)*(f - 3)*13. Solve -2*j = 2*g + 5 - b, 4*j - 2*g - 4 = 0 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 156 a factor of 109217553?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3590779.\nAnswer: 3590779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 0.4, -12\/11, -151\/24?\nAnswer: -12\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 n when three letters picked without replacement from {y: 1, o: 1, e: 6, v: 1, n: 3}?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -p = -6*p + 15. Suppose p*z - 13 = 44. What are the prime factors of z?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.02?  (a) -1\/4  (b) 7  (c) -3\/16  (d) 0.13  (e) -5\/4  (f) 64\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: 0.524643 times 7\nAnswer: 3.672501","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Put 331, -7.74, -2\/3, -4, -0.3 in decreasing order.\nAnswer: 331, -0.3, -2\/3, -4, -7.74","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*y = -y + 8, 2*y - 235 = -3*z. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 148 - -1608. Suppose -2*a = -d + 353, -y = -5*d + 2*a - a. Suppose -8*c + d = 31. Is c a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be -3 + (-13*36\/(-546))\/((-4)\/(-21)). Is -1407 <= v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 92100 is divided by 713?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let g(i) = -12*i**6 - i**3 - 7*i**2 - i + 7. Let s(k) = k**6 - k**5 + k**3 + k - 1. Let v(q) = g(q) + s(q). Find the third derivative of v(t) wrt t.\nAnswer: -1320*t**3 - 60*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -7783575488836*m**2\/3 - 111596240*m - 1200.\nAnswer: -4*(1394953*m + 30)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -12548, -12798, -13048, -13298, -13548?\nAnswer: -13798","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 2\/(-10) - (-6)\/5. Suppose 4*w - 4*g - 17 = -z, -4*w - 4*g = 0. Differentiate -1 + 10 + w*b + 1 - 12*b with respect to b.\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -10 divided by -481488\nAnswer: 5\/240744","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let x(a) = a**2 + 19*a - 469. Determine x(14).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 19935*z + 2*z**3 - 19935*z - 43338791 + 43338791.\nAnswer: 2*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 1420 != 1409?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let v(w) = 49 + 6*w**2 + 2*w - 44 + 3*w - w**3. What is v(6)?\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 403 and 39.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let d(y) = -5*y**2 - 58*y + 22. Calculate the lowest common multiple of d(-10) and 50.\nAnswer: 2550","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 675766*a**6 - 34*a**3*z**2 + 55*a**2*z**2 - 18957*a + 19*z**2 + 3*z wrt a?\nAnswer: 81091920*a**3 - 204*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -187634*n**3 - 154420*n**2?\nAnswer: -1125804","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 1604 and 12?\nAnswer: 4812","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1321 + 3523 = 2*k. Let q(d) = -k*d - 1094*d + 2185*d. Let a(z) = 13*z**2. Determine q(a(g)).\nAnswer: -130*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 6693 to the nearest integer?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*i - 22 = u, -19*i + 16*i = 2*u - 22 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -9 + 13.3. Let l = u - 4. Let m = 49 + -45. Which is the closest to 0?  (a) l  (b) 2  (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3 + 21489242*y - 3.\nAnswer: 21489242*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -102 - 11300143241?\nAnswer: -11300143343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = k - 3*s - 11, 7*s - 10*s - 16 = -1323*k + 1327*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 685 minutes after 9:10 AM?\nAnswer: 8:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 182577205 a multiple of 58?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*i - 3*i - 16 = 0. Suppose 0 = 2*v + 5*o + 31 - 538, i*v + o = 1005. Calculate the remainder when v is divided by 51.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -16*k - 24 = -8*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 90.427 - -0.973. Is 2 != v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 368\/31 in -64, 1\/4, -3, -1?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 357780, 715556, 1073328, 1431096, 1788860, 2146620, 2504376?\nAnswer: 2862128","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 43 + -18. Solve 2*i = -3*i + w for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 17647 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*q + 21 = 5. Let t = 74 - 62. Calculate the lowest common multiple of q and t.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -13, -408, 0 in decreasing order.\nAnswer: 0, -13, -408","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 0.15 + -0.05. Let h be -2 + (-884)\/(-425) + (-328)\/350. Sort 2\/7, 1, h, f in increasing order.\nAnswer: h, f, 2\/7, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -2801790, -5603578, -8405366, -11207154, -14008942?\nAnswer: -16810730","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 110023 is divided by 58?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let x(k) = 28*k + 33. Let h be x(38). Let r = 1905 - h. What are the prime factors of r?\nAnswer: 2, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 15*g*h**5*j + 38*g*h**4 + g*h**2*j - 2*g*h**2 + 73*j wrt h.\nAnswer: 900*g*h**2*j + 912*g*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let s(i) = -i + 11. Calculate s(9).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-1 - (2 - 7)) + (5 - 3). What are the prime factors of (0\/3 - -409) + x?\nAnswer: 5, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*f = -3*o + 103, 3*f = o - 2*f - 66. Suppose o = p - 5. Suppose -p - 20 = -2*g. What is the tens digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 0.1 at least 147273.9509?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ufsdfnfffrndffnfs. Give prob of picking 2 s and 1 n.\nAnswer: 3\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2 + (6*(-1 + sqrt(432))**2 - ((sqrt(72)\/sqrt(4) - sqrt(18))\/sqrt(6) - (sqrt(3) - sqrt(336)\/sqrt(7)))).\nAnswer: -147*sqrt(3) + 2596","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let b(v) = v**3 + 4*v**2 + 4*v + 2. Let z be b(-2). Let k(d) = 3*d + 0*d**z - 2*d - d**2 + 1. Suppose -15*s = -16*s. Give k(s).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.06 times -1417926.5\nAnswer: -85075.59","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from mmmammmmmkklmmm. What is prob of sequence km?\nAnswer: 11\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let b(x) = -x**2 + 6*x + 4. Let u be b(6). Suppose f = -3 - u. Let k = 30 + f. Is k <= 23?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 23595668?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 77219, 78001, 78781, 79559?\n\"Answer: -u**2 + 785*u + 76435","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -52*j = 2*s - 3553 + 273, 5*s - 2*j + 116 = 0 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 0.54, -4, -5?\nAnswer: 0.54","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 + 3*b**2 - 1)*(599*b - 384*b - 493*b)*(-2 + 2 - b**2).\nAnswer: 834*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let o(p) = -17*p + 0 + 22*p - 1 + 0 - 2*p**2 + 5. Let s(u) = -5*u**2 + 9 + 1 + 11*u - 1. Calculate 9*o(y) - 4*s(y).\nAnswer: 2*y**2 + y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (4\/(-396)*-33)\/(5\/(-3)).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 3 + ((-45)\/30 - 3)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 0.988 - -0.222. What is h rounded to one decimal place?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(i) = -17*i**2 - 50708*i - 606053. Give k(-12).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*o + 0*o = 0. Suppose -2*f - 53 = 5*z - 183, o = -5*z - 3*f + 135. Is (-4)\/z - 2073\/(-18) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*c**2 + 26927*c\/3 - 6410\/3 = 0. What is c?\nAnswer: 5\/21, 1282","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((y\/y**(10\/9)*y**(-6))\/(((y\/(y*(y*y**(-18)*y)\/y))\/y)\/y**(-1\/18)))**27 assuming y is positive.\nAnswer: y**(-1197\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 561269228 - 377884299. Let c = -183385093.000121 + x. Let p = c + 164. Round p to 5 decimal places.\nAnswer: -0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 42, 55, 70, 87, 106?\n\"Answer: m**2 + 10*m + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -347 - -355. Suppose -r = -7*t + 6. Solve -3*y - 3 = t*k - k, 5 = -k - 5*y for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 16*c = -2*a + 2966964, 741742 = 4*c + 78*a - 77*a. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in 0, -3, -3\/4, 0.645, 73, -0.3?\nAnswer: 0.645","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let d(g) = g**3 + 5*g**2 + 5*g + 2. Let n be d(-4). Let i be n\/(-4)*86 + -1. What is the remainder when (-68)\/(-3)*i\/28 is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -1 + -3 - 7 - -7.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(r) = -2*r - r**2 + 11 + r - 7*r + 0*r. Let q be o(-9). Solve x = q + 2 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -3 or -2\/71?\nAnswer: -2\/71","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {q: 2, a: 5}. What is prob of picking 1 q and 2 a?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -16\/159 and -16\/249?\nAnswer: 13197","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose f - 8 = 47. Suppose 2*g - 85 = -3*n, -4*n = -4*g + 65 + f. What are the prime factors of g?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(t) = 4*t**2 - 5*t - 6. Let v be i(-1). Suppose 0 = -v*b, -2*b + 5*b - 1530 = -5*g. What is the units digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be ((-10)\/(-4))\/(2\/4). Suppose 10 = p*d + 4*c, -4*d = -2*d + 5*c - 4. What is the units digit of (2*d)\/(2\/3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 191*t - 208*t + 180392 - 180392.\nAnswer: -17*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is -7008067.33 rounded to the nearest 100?\nAnswer: -7008100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -62\/35 and 157\/1680.\nAnswer: 1680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 6*t - t. Let q(v) be the third derivative of 1\/72*v**4 + t*v + 2*v**2 + 0 - 7\/180*v**5 - 1\/70*v**7 + 1\/24*v**6 + 0*v**3. Factor q(b).\nAnswer: -b*(b - 1)*(3*b - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(v) = -v**3 + 2*v**2 - 3*v - 1. Let y(h) = h**3 - 3*h**2 + 4*h - 1. Let g(m) = -3*w(m) - 2*y(m). Give g(0).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3470396 is divided by 32.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*j - 4*o - 8 = -4*j, j = -5*o + 20. Solve 1 = -3*q + 4*s, j*s = -4*q + 6 - 28 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 17, 63, 141, 251?\nAnswer: 393","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -19 - 9 = -3*c - 5*l, c - 16 = -3*l for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 28?  (a) 5  (b) -1  (c) -9\/4  (d) 557\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -7867 or -42?\nAnswer: -7867","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Round -76954.878 to the nearest 100.\nAnswer: -77000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -136748\/15 + 9111. Calculate the common denominator of (-9)\/(-48)*((-342)\/15390)\/(1\/582) and p.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.1 in 5, 1\/5, -2\/9, 43?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -6.32 + 2.4. Let w = 3.8368 + o. What is w rounded to 2 dps?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-61596)\/35931)\/((-2)\/280*-4).\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3 + 1 - 5*v + 2.\nAnswer: -5*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -0.09 + -11.91. Let o = 21 + m. Let k = o + -4. Which is the second smallest value?  (a) 3  (b) 0.1  (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {l: 2, d: 2, k: 2}. Give prob of sequence lld.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 153 + 1923 = -4*d. Let o = -211 - d. Is 8 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 360 minutes before 7:50 AM?\nAnswer: 1:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let x(s) = 1771*s**2 - 15*s - 24. Is 5 a factor of x(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 262726 is divided by 1890?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0038842101 to 5 decimal places.\nAnswer: -0.00388","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 0 - -3. Suppose -h = 2*h - i. Let t(s) = s**3 - s - 1. Let p(y) be the first derivative of y**4 - 2*y**3\/3 - 5*y**2\/2 - 3*y + 4. Give h*p(g) - 5*t(g).\nAnswer: -g**3 - 2*g**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*u**4 - 40*u**3 - 234*u**2 - 392*u - 200.\nAnswer: 2*(u - 25)*(u + 1)*(u + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 37 a factor of 74?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -32 - -35. Let c(s) = 3*s**2 + 9*s - 15*s + 4*s + 4*s**x. Let t(y) = -y**3 - y**2 + y - 1. Give c(o) + 3*t(o).\nAnswer: o**3 + o - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 4 (base 5) in base 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: 4341120 divided by 14\nAnswer: 310080","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 16.8 - 17. Let k = 1 - g. Let c = -1.6 + k. What is the second smallest value in -0.2, -5, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(b) = -3*b**2 - 4*b + 4. Let l(g) = g**2 + 5*g - 3*g - g - 1 + 0*g. Let o(d) = -f(d) - 4*l(d). Let n(m) = -2*m. Give o(n(a)).\nAnswer: -4*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -r + 2*g + 6 - 2 = 0, 0 = -4*r + 4*g + 8. Suppose 0 = 5*d + 15, r*t + 3*t + 3 = -d. Solve t = 5*c - 17 - 3 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -5268 - -5267. Is 26\/111 greater than t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:00 AM and 8:04 AM?\nAnswer: 184","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let y(u) be the second derivative of u**4\/12 - 23*u**2\/2 - 5*u. Calculate y(0).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-61)\/(-244))\/(((-7)\/20)\/(-7))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 42\/5 of a kilometer in meters?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 49b8 + 5001?\nAnswer: 99b9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 5163 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: Is 128280269 a multiple of 4423?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is (-5*24\/(-500))\/((-12)\/30)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let -2*x**4\/3 + 18802*x**3\/3 - 1489378*x**2\/3 - 18472402*x\/3 - 5654740 = 0. What is x?\nAnswer: -10, -1, 91, 9321","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-2)\/(-7 + 1\/(-1)). Let o = 1 - 2. What is the closest to o in -3\/5, 1, g?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 1758313, 3516625, 5274937, 7033249, 8791561?\n\"Answer: 1758312*z + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i(q) be the first derivative of -7*q**2\/2 - 2. Let n(u) be the second derivative of 0*u**3 + 9*u + 0*u**2 + 1\/6*u**4 + 0. Calculate i(n(s)).\nAnswer: -14*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*s + 3*n + 4493 = 0, -10*n = -4*s - 12*n + 3590. What is the tens digit of s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 642 - 641.9999081. Round a to five dps.\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 11 + 32354430?\nAnswer: 32354441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4 + sqrt(7)*-2 + (sqrt(7) - sqrt(63)\/sqrt(36)))**2 + 5.\nAnswer: 12*sqrt(7) + 147\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -f + 15 = 4*f. Suppose -2*t + f = -t. What is the second derivative of -3*a**2 + 3*a**2 - 3*a + 7*a**3 - a**t wrt a?\nAnswer: 36*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (g**2 + 4*g**2 - 3*g**2)*(-5*g + 2*g**2 + 5*g) + 3*g**4 - 3*g**4 + 81*g**4 - 2*g**4 + 53*g**2 - 2*g**3 - 55*g**2 - 2*g**3.\nAnswer: 83*g**4 - 4*g**3 - 2*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 337 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 8220 and 24?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-6)\/(-84)*(1 - -13). Let d(c) = -c**2 + 7*c - 7. Let h be d(7). Let s(j) = j**3 + 6*j**2 - 8*j. Let w be s(h). Solve 0 = -2*p - w - f for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 903137?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let w(l) = 7*l**2 - l - 19. Let r(j) = 12*j**2 - 4*j - 38. Let k(b) = 4*r(b) - 7*w(b). Give k(-6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -52 - -79. Suppose -s + l = 14. What is the remainder when ((-73)\/2 - 2)*(-8)\/4 is divided by s?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*l + 4*w - 40 = 0, -l - w = -1 - 8. Solve 7*p = l*p - 6 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 14864930 to the nearest one million.\nAnswer: 15000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ebaa when four letters picked without replacement from {e: 1, l: 2, a: 2, b: 6}?\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 13 - 5. Let w(i) = -126*i + 28. Let a be w(u). What is a rounded to the nearest 100?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*i**2\/5 + 477*i\/5 - 35376.\nAnswer: 3*(i - 176)*(i + 335)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -32232023003 + 1310?\nAnswer: -32232021033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand l**2 + l**4 - l**2 + 2*l**4 - 2*l**4 - l**4 + (4*l - 4*l - l**3)*(0*l - l + 3*l) - l**2 - 2*l**2 - 438*l**4 + 424*l**4.\nAnswer: -16*l**4 - 3*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-6)\/((-35)\/(-50) + -1). Suppose -13*d + 17*d = z. Suppose -4*a - 168 = -4*r, d*r - 4*a - 90 = 3*r. What is the units digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 2*h*m**4 - 11*h*m**3 + 11*h*m - 12*h - 2*m**4 - 2*m wrt m?\nAnswer: 24*h*m**2 - 66*h*m - 24*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Put -2\/13, 6.21, -0.7 in ascending order.\nAnswer: -0.7, -2\/13, 6.21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 - 7 + 13)*(-219*c**5 - 477*c**5 + 271*c**5).\nAnswer: -3400*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let a(o) be the second derivative of -o**6\/120 + 7*o**5\/60 + 7*o**4\/24 + o**3\/6 + 4*o**2 - 12*o. Let i(t) be the first derivative of a(t). Determine i(8).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -z + 2*z - 11*z - 3*z to t + k*z and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 250056120 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 600, 584, 556, 510, 440, 340, 204, 26?\n\"Answer: -c**3 - 9*c + 610","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -3 - -13. Is f a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 621 and 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let d(w) = w**2 + 12*w + 14. Let y be d(-11). Suppose 0 = t - y*v, 0*t + v + 26 = -4*t. What is the remainder when 54 is divided by (-332)\/(-12) - 2\/t?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:23 PM and 3:32 AM?\nAnswer: 549","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((y*y**(-3\/8))\/y**(4\/9))**(2\/41)\/((y*y**7)\/(y\/(y**(3\/5)\/y)*y))**(-32\/9) assuming y is positive.\nAnswer: y**(49003\/2460)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence mmzz when four letters picked without replacement from {p: 2, b: 6, z: 3, m: 2}.\nAnswer: 1\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -44 - -46?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 10 + (3 + -7 - 0)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5*o + 9*o - 17*o.\nAnswer: -3*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let h(l) be the first derivative of l**3\/3 + 23*l**2\/2 - 27*l - 27. Let m be h(-24). Let k(v) = -3*v - 3*v**2 - v - 4 + 2*v**2. Calculate k(m).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(t) = -2*t**2 - 8*t + 7. Let g(c) = c. Determine -4*g(w) - n(w).\nAnswer: 2*w**2 + 4*w - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let a(t) = t**2. Suppose -5*s = -11*s - 6. Calculate a(s).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -8*q + 46*q + 53*q + 68*q to i*q + j and give i.\nAnswer: 159","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 8567, 8565, 8563?\nAnswer: 8561","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 7098 a multiple of 169?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let d(x) = x + 6 - 8*x + x**2 - 3. Let j(z) = -z + 11. Let f(t) = 2*t - 22. Let v(l) = 2*f(l) + 5*j(l). Let y be v(5). Give d(y).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(p) = 2*p**3 - 2*p**2 + 6*p + 15. Calculate c(-2).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-25)\/(-80290)*15146\/1. Let n = 2\/1147 - i. Let t = 4 - 8. Is t at most n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2276.279 nanograms in milligrams?\nAnswer: 0.002276279","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 35710135.\nAnswer: 5, 7142027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 335 and 518647?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let b(x) = -2*x + 14183. Let u(c) = c. Calculate b(u(t)).\nAnswer: -2*t + 14183","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 31*r + 46*r - 1 + 8*r.\nAnswer: 85*r - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let v(l) = -239*l - 2359. Give v(-11).\nAnswer: 270","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 110439115 is divided by 163.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from escccecfcee. What is prob of sequence es?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 319031\/108 - 2954. What is the common denominator of w and -139\/54?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -n**2 - 2*n**4 - 14*n**3 + n**4 + 12*n**3 + 0*n**2 + 2 as k*n**4 + w*n**2 + r*n**3 + i + x*n and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 6124379 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 299\/(-39)*984\/7544.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (4\/2 - (-76)\/(-16))*-4. Suppose w = 4*a - 5*q, -3*a + 2*q + 2*q = -9. Let z = 52 + -56. Put 2, z, a, -5 in ascending order.\nAnswer: -5, z, a, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -16, 6, 42, 92, 156, 234?\n\"Answer: 7*p**2 + p - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, -4, 1, 2, -83 in ascending order.\nAnswer: -83, -4, 1, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: 28867*42\nAnswer: 1212414","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*p = -4*p - p. Suppose p = u + 19 - 31. Suppose u*f = 15*f - 9. Solve 8 = f*j - 4 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(p) = p**2 - p. Let m(r) = 3*r**2 - 8*r. Let h(c) = -m(c) + 4*t(c). Find y such that h(y) = 0.\nAnswer: -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(s) = s**3 - 15*s**2 + 16*s + 13. Let o be u(14). Let p = o + -29. Does 3 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -7, -29, -53, -73, -83?\n\"Answer: o**3 - 7*o**2 - 8*o + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u(k) = k**2 + 5*k - 4. Suppose 6 = -s + 1. Let t be u(s). Let j(m) = 61*m**2 - 12619*m - 1661. Let i be j(207). Put 21, i, 2, t in ascending order.\nAnswer: i, t, 2, 21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 2 + (-4)\/33 - 1. Let q = -6\/11 + u. Which is bigger: q or -4\/5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(s) = s**2 - s. Let y be r(0). Suppose 2*a + 3*b - 14 = y, -6*b + 2*b = 0. Solve 4*k + 1 - a = -2*m, -3*k - 3 = 0 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r**(6\/5)*r**(6\/11)*(r\/r**(-4))**(2\/5))**(-33) assuming r is positive.\nAnswer: r**(-618\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 9580011179 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -6\/25 + 26\/25. Suppose -6*v + 9*v - 6 = 0. Is v > h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(b) = -b**2 - 13*b + 5. Let c be i(-13). Suppose c*o = -k - k + 49, -2*o = -k + 47. What is the tens digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 5 - 7. Let b be (-4)\/3*3\/h. Let u be (-1)\/b*-1*6. What is the highest common factor of u and 21?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: 7406+3\nAnswer: 7409","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -z - 3*z - 8 = 0 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 217\/(-7) + (-29 - -36).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 361079017?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand (27 - 53 + 22 + 9*p)*(5*p - 3*p - p).\nAnswer: 9*p**2 - 4*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let o(m) = -8*m**2 + 2*m + 1. Determine o(-1).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let w(g) = 10*g**2 + 5*g + 5. Let i(x) = 15*x**2 + 8*x + 8. Let b = 6 - 1. Let u(h) = b*i(h) - 8*w(h). Calculate u(-1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 v when two letters picked without replacement from bbbdbkbbvbbvbbv.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-3)\/6 + ((-2)\/(-184))\/(48\/(-2592)). Which is smaller: 2\/3 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2661*q - 1944 + 1944 + 6309*q to the form o*q + a and give o.\nAnswer: 8970","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 15377298?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1155353?\nAnswer: 251, 4603","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 1422461502 to the nearest integer?\nAnswer: 194","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let p(a) be the first derivative of a**4\/24 + a**3\/3 + 3*a**2\/2 - 3. Let f(c) be the second derivative of p(c). What is the derivative of f(k) wrt k?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-2)\/9 + 1 + 129\/(-27)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 412\/(-8)*(0 + -2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0*g + 3*g - g - g - 4*g + 3*g + 1 - 1 + 2*g + (-1 + 2 + 0)*(g - g + 2*g) - 1 + 1 + 2*g - 1 - 2*g + 30 - 12.\nAnswer: 4*g + 17","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 69 + -60. Let n(y) = -2*y**2 + 17*y + 8. Let s be n(x). Let m be ((-1 + 95)*1)\/(s*2). Is m greater than -47?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -1\/3  (b) -209  (c) 1\/85  (d) 3  (e) -135  (f) 3\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (1*58)\/(7 - 5). Let g = z - 21. Calculate the smallest common multiple of 4 and g.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 78 and 3678.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -1 - -1. Let i be (-3)\/(-2)*(-20)\/6. Let f be 16\/(-40) + (-17)\/i. Solve r = -n + 2 - f for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 216 = 6*y + 6*y. Suppose -4*v - v + 184 = -4*z, 178 = 5*v + 2*z. Calculate the smallest common multiple of y and v.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-1)\/3 - -2*1\/6. Let i(t) = t**2 + 20*t - 32. Let y be i(-17). Let c = y + 88. Solve z = 4*l - 3*l + c for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence bjb when three letters picked without replacement from xbjx.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: 155*-64290\nAnswer: -9964950","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let a(t) = t**2 - 14*t + 11. Let p(i) = -66*i - 1 + 34*i + 31*i. Let u(s) = -a(s) - 3*p(s). What is the units digit of u(12)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 14992979 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*a + 0*i = 3*i + 26, 5*a - i = -23 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 110527*k**3*v**3 + 2*k**3*v - 2*k**2*v**3 - 26*k*v + 135*v + 1 wrt v.\nAnswer: 663162*k**3*v - 12*k**2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 127\/1662 and 163\/1308678.\nAnswer: 362503806","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 16871743 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is -1 greater than -2170\/536867?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Express -15 - 60*d + 37*d + 22*d as x*d + i and give i.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 65\/328 and 8\/123.\nAnswer: 984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.25 times -20.5221?\nAnswer: -5.130525","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 469 + -465. Solve -2*l + 3 = 2*s - 3*l, a*s + 2*l + 6 = 0 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(n) = 2*n**2 - 4330*n - 294539. Calculate z(-66).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 96*d**2*g**2 - 181*d**2 + 8*d*g**2 + 5 wrt g.\nAnswer: 192*d**2*g + 16*d*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 119422618 minus -0.5?\nAnswer: 119422618.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -51, -90, -151, -234?\n\"Answer: -11*y**2 - 6*y - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 5596945.\nAnswer: 5, 1119389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 451, 902, 1353, 1804, 2255, 2706?\n\"Answer: 451*m","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(187)*4*-6 + -3*(sqrt(187) + sqrt(187)*3))\/((-1*-1*sqrt(275) + sqrt(275))*-4).\nAnswer: 9*sqrt(17)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let l(o) = -2*o**2 - 9*o - 4. Suppose -u + 5 = -9*u + 9*u. Let r(q) = -q**2 - 4*q - 2. What is u*r(d) - 2*l(d)?\nAnswer: -d**2 - 2*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 386372101 and 10810?\nAnswer: 1081","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*z = -z - 14. Let u = 24 - z. Calculate the highest common divisor of u and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 44 = -2*m + 7*m - 2*o, -2*o + 26 = 2*m. Suppose 0 = -q - 2*c + 25, 2*c - 40 = -m*q + 8*q. Calculate the highest common divisor of q and 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3 = -5*q + 18. Suppose -q*h - 2*h = -5*g + 30, g - 1 = -4*h. Let i(z) = 7*z**2 + z. Calculate i(h).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 19339256?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*s + 1 = d - 4, -8 = -4*s. Let k(u) = 3*u**2 + d*u - u**2 + u. Calculate the remainder when 39 is divided by k(-7).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: 9 + -8 + 0 + -3 - 5 - 4\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -212002 (base 4) to base 3\nAnswer: -10100011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -2\/21, 313, 64, 1\/7, 3?\nAnswer: 64","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 6 - (0 - -6 - (14 - 8)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r(l) be the third derivative of l**4\/12 - 8*l**3 - 3*l**2. Let o be r(26). What is the greatest common divisor of o and 44?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in 29\/2 of a gram?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -27, -26, -25, -24, -23, -22?\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o(j) = j**2 - 6*j + 5. Let n be o(4). Let h be n + (-16)\/(-12) + 0. Put -2\/25, h, -4 in decreasing order.\nAnswer: -2\/25, h, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (5 - (4 - 0)) + 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 27651 (base 10) in base 9?\nAnswer: 41833","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"}
{"text":"Question: Suppose -k + 4*k - f - 358 = 0, -2*k + f = -239. Suppose 3*z - 3*m = -2*z + k, -z - 5*m = -35. Suppose a + z = 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: Let u(w) = 420*w - 2486. Let p be u(6). Solve -32*b + p = 162 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 103239 + 0*x - 103239 - 4*x + x.\nAnswer: -3*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let t(u) = -u**3 - 17*u**2 - 61*u + 25. Determine t(-5).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-6 - 6*s**2 - 26*s**2 + 6*s**3 + 33*s**2)*(s**2 + 0*s**2 + 0*s**2).\nAnswer: 6*s**5 + s**4 - 6*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let b be ((-6)\/4)\/(12\/(-1400)*5). Suppose 3*o = 2*m - 0*o - b, 0 = o + 5. Calculate the lowest common multiple of 13 + (-1)\/((-1)\/2) and m.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 466 minutes before 3:31 PM?\nAnswer: 7:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 84 and 6384?\nAnswer: 6384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 2700, 5786, 9190, 12912, 16952, 21310?\n\"Answer: 159*s**2 + 2609*s - 68","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 13*v + 2*v = -4*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*v = -2*v - 4. Let r = 9 - 4. Suppose -3 = -r*l + 17. Sort l, v, 5 in ascending order.\nAnswer: v, l, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (5\/10*3)\/1*6.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 4, -2\/5, 72\/11, 0?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5 + (4*(sqrt(136) + sqrt(136) + sqrt(136)*2 + sqrt(136)) + sqrt(136) - -2*(sqrt(136) + sqrt(136)*1))\/(2*(sqrt(32) + sqrt(96)\/sqrt(3))).\nAnswer: -5 + 25*sqrt(17)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"}
{"text":"Question: Suppose z + 20 = 6*z. Put 3, -8, z in descending order.\nAnswer: z, 3, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 10201620\/7 at most as big as 1457374?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 68313042.\nAnswer: 2, 3, 7, 542167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: 11 (base 6) to base 5\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Does 24 divide 4389?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 42787534?\nAnswer: 2, 21393767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*s - 17 = 5*p, -5 = -4*s - 5*p + 2. Suppose 0 = s*b - 15, -2*l - 4*b + 25 = -l. Suppose -4*o - l*q + 58 = -62, 4*q = 4*o - 156. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: -205991 (base 16) to base 4\nAnswer: -20011212101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*s**4 + s**5 - 2*s**4)*(72 + 168 + 138 + 53).\nAnswer: 431*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let q(v) be the second derivative of 9*v**4\/4 + 21*v**2 + 2*v - 8. Find the first derivative of q(r) wrt r.\nAnswer: 54*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 57\/18725 and -62\/211325.\nAnswer: 1479275","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -763910*z**3 - 67085*z - 121 wrt z.\nAnswer: -4583460*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 436917515.\nAnswer: 5, 87383503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -75a + 4112?\nAnswer: 3574","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Convert -4 (base 10) to base 5.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put 3.7, 3\/2, -15\/7 in descending order.\nAnswer: 3.7, 3\/2, -15\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, 4, -34, -4, 107, -3 in increasing order.\nAnswer: -34, -4, -3, 2, 4, 107","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -1715, -1, -0.99?\nAnswer: -0.99","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Sort -202, -5, 0, 52 in decreasing order.\nAnswer: 52, 0, -5, -202","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let c(f) be the third derivative of 11*f**7\/210 + 2*f**5\/15 - 2*f**2. What is the third derivative of c(b) wrt b?\nAnswer: 264*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 491, 504, 517, 530, 543?\nAnswer: 556","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -140130, -280243, -420342, -560421, -700474, -840495, -980478?\nAnswer: -1120417","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b(n) = n**3 - 17*n**2 + 104*n - 233. Determine b(7).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4 = a - 8. Suppose 3*p - a*u = 4*p + 8, -5*p - 2 = u. Suppose p = -3*d + 10 + 11. What are the prime factors of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(l) = -l**2 - 17*l + 24. Calculate p(-17).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2665 is divided by 2545?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let x(y) = -3661*y - 47119. Give x(-13).\nAnswer: 474","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -2119, -10903, -19679, -28447?\nAnswer: -37207","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: -2 divided by -2676\nAnswer: 1\/1338","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 19 + -18. Solve -3 = 2*k + i for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 55 a factor of 2179?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 669*j - 13470 - 7969 = 78*j - 3709 for j.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-2)\/(2\/(-9)) - 146\/(-146)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 24880186099 + 0.4.\nAnswer: 24880186099.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let l(t) = -t**3 + 16*t**2 - 14*t - 6. Let j be l(15). Suppose 95 = j*h + 959. Let o = h - -100. Solve -o + 5 = -b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1290 (base 10) to base 8\nAnswer: 2412","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -0.207, 8, 0.5?\nAnswer: -0.207","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*n + 20 = 28. Is (4 + 40)\/n + -1 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 38630*k + 655 = 38870*k - 545 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1070*s = 4*u - 1066*s + 4, 5*u - 35 = 5*s for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is -25078571868 minus -1292.7?\nAnswer: -25078570575.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Put 0, -2\/243, -3, -11, -5 in ascending order.\nAnswer: -11, -5, -3, -2\/243, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let f(b) = -b - 4. Let l be f(-20). Let w = 57 - 17. What is the greatest common factor of w and l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 142305 and 212?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -69, -145, -223, -303, -385, -469?\n\"Answer: -v**2 - 73*v + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Determine f, given that 2*f**4\/11 + 4508*f**3\/11 - 1197120*f**2\/11 = 0.\nAnswer: -2494, 0, 240","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 149\/5 - 30. Which is the second smallest value?  (a) -2  (b) r  (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 38\/5*g**3 + 68\/5 - 66\/5*g**2 - 2\/5*g**4 - 38\/5*g = 0.\nAnswer: -1, 1, 2, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 0, -3694, -5, -2\/33 in increasing order.\nAnswer: -3694, -5, -2\/33, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 1b03 - -2?\nAnswer: 1b05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 88*(68208\/(-616))\/(-87)?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of -2 - ((-1372)\/44 + (-6)\/(-33))?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 158 minutes after 11:33 PM?\nAnswer: 2:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -38.63 - -38. Let x = d - -0.65. Let k = x - 0.214. Round k to 2 decimal places.\nAnswer: -0.19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -4 - -4.4. Let u = h - 0.3. Let z = 507\/2 + -255. Which is the closest to u?  (a) z  (b) -0.2  (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(t) = -34*t + 102. Let d be p(16). Which is greater: d or -440?\nAnswer: -440","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -r + 5 = 4. Let i = 1.5 + -1.4. Which is the closest to i?  (a) r  (b) -0.2  (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -10708*r - 15076*r - 12720*r - 1174*r + 7919*r.\nAnswer: -31759*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((2 + 2 - 6)*(-2 + 0 + 0) + 2 + 0 - 3 + (-2 + 1 + 0)*(1 + 0 + 1))*(-c**3 - c**3 + 3*c**3).\nAnswer: c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is -60 greater than -60?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let g(s) = 7*s. Let l = -7 + 11. Let m(r) = -l + r**2 + 2 + 2. Calculate m(g(o)).\nAnswer: 49*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-12)\/((-1152)\/(-40)) - (-2)\/(-8). Which is the closest to d?  (a) 3  (b) -0.5  (c) 2\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1602*x + 3*d - d = 1602*x + 48, -3*x + 3*d = 69 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 j when two letters picked without replacement from {j: 3}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 265547037 to the power of 1\/3, to the nearest integer?\nAnswer: 643","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -16162 + 16174. Solve 5*o + 4*w - 11 = 0, o - 13*w + 5 = -g*w for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n**4 - 1827418*n**3\/3 - 3045704*n**2\/3 - 609142*n\/3 + 203047 = 0. Calculate n.\nAnswer: -1, 1\/3, 609141","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let z(q) = -3*q**3 - 22*q**2 - 154*q - 131. Determine z(-4).\nAnswer: 325","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 19 = 5*l + a, -l + 16 = 5*a - 7. Suppose -4*k = l*s - 453, 5*k + 3*s + s = 566. What is the hundreds digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 455221 is divided by 13583?\nAnswer: 6982","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 5304858, 10609695, 15914518, 21219321, 26524098, 31828843, 37133550?\nAnswer: 42438213","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -3.4  (b) 3\/2  (c) -466  (d) -5  (e) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(144)\/((sqrt(72)\/sqrt(2))\/sqrt(3))*3*3)**2.\nAnswer: 972","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 4682 a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let x(s) = -5*s - 8. Let r(f) = -14*f - 8 - 8*f + 16*f. Let v(t) = 3*r(t) - 4*x(t). Let q(o) = -1. Give 5*q(u) + v(u).\nAnswer: 2*u + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 2470\/247 - (-38)\/(-2)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 707543 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 1915 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4554659951?\nAnswer: 4554659951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 70\/(5\/(-9)*945\/210)?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -16 - -17.1. What is j rounded to zero dps?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(o) = o**2. Let t(h) = -80*h**2. Let w(f) = 96*g(f) + t(f). Let v(y) = -y**2 - 1. Let c(k) = 1. Let j(a) = -2*c(a) - 2*v(a). Calculate w(j(l)).\nAnswer: 64*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 0*(-1)\/(-2) - (9 + -11). Solve 4*n + w + 15 = -0*n, -s*n - 3*w = 15 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 797672, 797670, 797668, 797666, 797664, 797662?\nAnswer: 797660","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -321001 (base 4) in base 9?\nAnswer: -5004","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v(x) be the second derivative of 15*x**3\/2 - 2*x**2 - 2*x. Let n(z) = 3*z**2 + 5*z + 2. Let j be n(-2). List the prime factors of v(j).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 28*h = 36*h. Suppose -2\/3*v + 2\/3*v**3 - 1\/3*v**4 + h*v**2 + 1\/3 = 0. What is v?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 2\/173  (b) 7  (c) 0.086  (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth biggest value in -5, -8413, -4, -1, 0.4, -1\/2?\nAnswer: -8413","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let i(p) = 3. Let s(q) = -974*q - 14610. What is -4870*i(w) - s(w)?\nAnswer: 974*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 2*b**3*j**3 + 385*b**3*j + 2*b*j**2 + 132*j**3 wrt j?\nAnswer: 12*b**3 + 792","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 25\/1788 and 79\/16.\nAnswer: 7152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 95*v - 2 + 7*v + 2.\nAnswer: 102*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 z when two letters picked without replacement from {b: 2, z: 2, d: 2, y: 1, f: 1}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -84*v + 1 = -89*v - 3*n, -2*n + 6 = 0 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 80699, 161458, 242217?\nAnswer: 322976","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 251287 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -4675000 rounded to the nearest one hundred thousand?\nAnswer: -4700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 807379 - 806838.981. Let n = t + -538. Let o = n + -1.92. Round o to 2 dps.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(j) be the third derivative of -j**6\/30 + j**5\/10 + j**4\/6 - j**3 - 2*j**2. Let h(f) = f**3 - f**2 - f + 1. Give 6*h(c) + i(c).\nAnswer: 2*c**3 - 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 0.6 + -0.7. Let s = -9.1 - n. Let p = s + 9.1. Sort 3, p, -0.1 in descending order.\nAnswer: 3, p, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 285 = -3*z + 270. Let m be (-5)\/3 + 4\/6. Sort z, 3, m in increasing order.\nAnswer: z, m, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(u) = 6*u - 16. Let b(w) be the first derivative of -w**2\/2 + 3*w - 323. Calculate -33*b(x) - 6*q(x).\nAnswer: -3*x - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 6\/(-6) - 56*-1. What are the prime factors of ((-58)\/5)\/((-11)\/m)?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -56, 3, 1, -7, 2 in decreasing order.\nAnswer: 3, 2, 1, -7, -56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -59999 or -59998?\nAnswer: -59999","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let x(j) be the third derivative of j**5\/60 + j**4\/6 - j**3\/3 + 71*j**2. What is x(-6)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 32 = 3*p + 5*m, 7*p + 9*m - 5*m - 67 = 0. Solve -3*l = -5*x + p, 2*x = -4*l - 0*l - 12 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((2*sqrt(1372) - (sqrt(28) - (sqrt(28) + sqrt(112)\/sqrt(4) + 0))) + 3)**2.\nAnswer: 180*sqrt(7) + 6309","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let u be ((-84)\/(-54) - 2)\/((-2)\/339). Let g = -186 - -112. Let z = g + u. What is the smallest value in z, 4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*p + 386 = 3*j, p - 58 = -j + 68. Let c be (-2)\/6 - j\/(-3). Suppose -4*i + 30 = -c. Calculate the remainder when i is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: -43678 divided by 22\nAnswer: -21839\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.2 in 2, 38, -2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1993734.\nAnswer: 2, 3, 31, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 63\/218 and -55\/6.\nAnswer: 654","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 135 a factor of 27205441?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -375.31 - -376.31. Let b = -131 + 781\/6. What is the third smallest value in c, b, -4?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 129\/(-77) - (-9)\/(-63). Which is smaller: p or 276?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 742428890?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:51 AM and 5:08 PM?\nAnswer: 557","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 579677 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is (-42)\/(-63) + (-8)\/(-24) + -7?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 16*k - 1611 - 6661. What is the greatest common divisor of k and 1331?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -4*r**3 + 17948*r**2 + 560496*r - 1192752 = 0. What is r?\nAnswer: -33, 2, 4518","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence lfpw when four letters picked without replacement from {l: 2, w: 2, f: 1, c: 4, p: 3}.\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose s - 26 = -11. Let j = s + -12. Does 22 divide 69 + (-1)\/1 + j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(m) = -m**3 + 8*m**2 + 6*m + 19. Let f be l(8). Suppose f = 5*t + 4*y, -4*t - 2*y - 3*y = -50. Suppose -u = 4*u - 70. Is t less than or equal to u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 262578?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: -313 (base 10) to base 13\nAnswer: -1b1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -429, -806, -1183, -1560?\nAnswer: -1937","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*a + 6*q = 5*q + 114, a = -3*q + 38. Let k = -44 + a. Let c(v) = 2*v - 7. What is c(k)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -986*d - 431*d + 4819*d + 295*d + 3869*d to the form a + p*d and give p.\nAnswer: 7566","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2651*n**3 - 547*n - 568*n**3 + 547*n.\nAnswer: 2083*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let n(h) = 13*h**2 + 24*h - 76. Let z(w) = 11*w**2 + 23*w - 77. Let r(j) = -5*n(j) + 6*z(j). What is the hundreds digit of r(24)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 5, 4\/3, 1\/5, 2\/11, -4, -17.4, -0.1?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify q\/((q\/q**(2\/13))\/q)*q**(-28)*q*q*(q*q\/(q\/q**(2\/15)*q))\/((q\/(q*(q*q*q**(1\/11))\/q))\/q) assuming q is positive.\nAnswer: q**(-48524\/2145)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-1)\/((-210)\/(-24))*147\/(-42)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*j + 25 = 0, 0 = -k - j - 0*j - 10. Let o be (-4)\/(-36)*(-5 - k). Factor o - 2\/17*v**3 + 2\/17*v**5 + 2\/17*v**2 + 0*v - 2\/17*v**4.\nAnswer: 2*v**2*(v - 1)**2*(v + 1)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(a) = -11*a. Let s(j) = -9*j**2 + 14*j**2 + 5*j**2. Determine f(s(t)).\nAnswer: -110*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 1 + 0. Let v be (8\/a)\/(4 - 2). Suppose 5*n = -5, -v*b = b + 4*n - 21. List the prime factors of b.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 1343105 and 70.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-1)\/2 + (-20)\/(-8). Solve 3*b = 3*p + 4*b - 11, 0 = w*p + 5*b - 3 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-a**2 - 7*a + 7*a)*(5 - 1 - 1 + 4 - 3 + 0 - 5 + 2 + 4 + (1 - 2 + 3)*(2 - 5 + 1) + 7 + 4 - 6) as k*a + u*a**2 + j and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {r: 1, p: 17}. What is prob of picking 1 r and 3 p?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -19 - -21. Let z = 0.69 - 69.09. Let u = z + 68. Sort i, 5, u, 0.1.\nAnswer: u, 0.1, i, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 21 - 31 = -5*y, 5*s + 2*y - 7*y + 45 = 0 for s.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let p(c) = -c + 7. Let d be p(3). Suppose -3*o + d*z + 2864 = -0*o, -z = 2*o - 1924. Suppose -7*y = -13*y + o. List the prime factors of y.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1 - 5 - -5 - ((36 + -12 - 17) + 47).\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.2 plus -348086.7?\nAnswer: -348086.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from lllllllaall. Give prob of sequence ll.\nAnswer: 36\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence nbo when three letters picked without replacement from {b: 1, o: 1, f: 1, n: 1, i: 1}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 52\/6*231\/(-14). Let w = d - -102. Let y = w + 40. Let k(z) = z**3 + z. Determine k(y).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1171771982.\nAnswer: 2, 585885991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1204*o + 252 = 1698*o + 13590 for o.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 661.61 rounded to the nearest 100?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4 = -i + 4*q, -3*q + 2*q = -5*i - 18. Let y be -122*3\/(-6)*i. Let t = y + 64. Round t to the nearest 100.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 386374621 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 92136158 to the power of 1\/7, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let r(x) = x**3 - 5*x**2 - 27*x + 10. Calculate r(8).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -8 + -2?\nAnswer: -a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -3334 - 554*m - 156 + 1996*m + 1355*m wrt m?\nAnswer: 2797","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-2 - -2*16\/28)*(1 - -6)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(a) = 36*a + 17. Is n(7) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 3.4 - -3. Let j = g - 3.8. Let o = j - 2.7. Which is the closest to -0.02?  (a) o  (b) -1\/3  (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 95, 57, 21, -13, -45?\nAnswer: -75","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: How many decades are there in 855.7116 millennia?\nAnswer: 85571.16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: (5 + -23 + 8)\/(2 - 4) - 12\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -9 - (-14 + 14 + -5).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5*s**3 - 616587*s**2 + 616597*s**2 - 40*s**3)*(-3*s + 4*s - 2*s).\nAnswer: 35*s**4 - 10*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let h(m) = 2*m**3 - 5*m**2 + 169*m - 3076. What is the least common multiple of 5 and h(22)?\nAnswer: 97590","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -45 + 59*j**4 - 63*j**2 - 67*j**2 + 130*j**2 wrt j?\nAnswer: 236*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 992 and 74152?\nAnswer: 296608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: -363403 (base 8) to base 14\nAnswer: -33615","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -115 + 282 - 19*x**3 - 88 - 81.\nAnswer: -19*x**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-6 + 2 + 20)*(-4*u**4 + 1794 + 53*u - 1794).\nAnswer: -64*u**4 + 848*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Convert 103032 (base 4) to base 2.\nAnswer: 10011001110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0000063235 to 7 decimal places.\nAnswer: 0.0000063","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let v(t) = t**2 - 85*t - 1688. Determine v(-16).\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let l(y) = 148*y - 1. Let c(t) = 38*t. Determine c(l(j)).\nAnswer: 5624*j - 38","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -25495, -50282, -75055, -99814?\nAnswer: -124559","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 h when two letters picked without replacement from {h: 7, g: 4}?\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand 3*r + 5 - 2*r**2 - 5 + (-2*r + 4*r - 4*r)*(3*r + 0*r - 2*r) - 3*r + 3*r - r**2.\nAnswer: -5*r**2 + 3*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 592395 and 45?\nAnswer: 1777185","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 485.\nAnswer: 5, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -17*r + 44*r + 32*r + 43*r.\nAnswer: 102*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -171 + 94 = 11*c for c.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let m(k) = k - 5. Let c(d) = d. Let a(j) = j + 4. Let h be 4\/6 - 1\/(-3). Let w(z) = h*a(z) - 2*c(z). Calculate 2*m(y) + 3*w(y).\nAnswer: -y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -0.042 - -4.342. Let x = 4 - f. Let t = -4893 + 4898. Sort t, -0.12, x, -4 in descending order.\nAnswer: t, -0.12, x, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -t - 14*n - 8 = -17*n, 3*t + 52 = 2*n. Which is the second biggest value?  (a) 0  (b) 4\/5  (c) t  (d) 2  (e) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = b - 60 + 54. Let m(i) = 2 + i**2 + i**3 + b*i - 10*i + 5*i. Let y be 1\/(-4)*2*0. Calculate m(y).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 973 is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Divide -38325 by 15.\nAnswer: -2555","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1720\/(-215) - (-5)\/((-15)\/(-123)).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 22*l - 377*l + 11*l + 5334 = 545*l for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -6.15169*-0.06.\nAnswer: 0.3691014","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 109\/192 and 103\/240?\nAnswer: 960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 78936.53 less than -50514.2?\nAnswer: -129450.73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 88 minutes after 6:17 AM?\nAnswer: 7:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let n(c) = c**3 - 7*c**2 + 12*c - 32. Calculate n(5).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: -0.02604 * -0.051\nAnswer: 0.00132804","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 f and 1 k when four letters picked without replacement from kfvffkvfkf?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: -2 divided by -318\nAnswer: 1\/159","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let b(a) = -5*a**3 + 3*a**2 - 3*a - 3. Let s(r) = r**3 - r**2 + r + 1. Calculate 2*b(f) + 6*s(f).\nAnswer: -4*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -11?  (a) -0.4  (b) 0  (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence lu when two letters picked without replacement from nlnunnlllnlllnlnlnnl.\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 0.04 - -6.96. Let x = 3673\/7 - 525. What is the smallest value in q, x, 5?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 553, 3830, 12663, 29830, 58109, 100278, 159115, 237398?\n\"Answer: 463*r**3 + 36*r + 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((m**(-1\/2)*m)**(3\/16)\/(m\/((m*m*m*m**(-2\/5)*m)\/m))**(4\/13))\/(((m**(-2)\/m*m*m)\/m*m*(m\/(m**(-2)\/m))\/m)\/(m**(-2\/5)\/(m**(-1\/2)*m))) assuming m is positive.\nAnswer: m**(-4813\/2080)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -7 + 27\/4. Let q = -50 - -49.8. Which is the nearest to f?  (a) q  (b) 3\/2  (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (5 - (-265)\/(-60)) + (-20)\/16?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 496 and 62?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 9 minutes after 2:49 PM?\nAnswer: 2:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 986785 to the nearest integer?\nAnswer: 993","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: (-324)\/(-30) + 153\/15 + -11\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (6*f + 7*f + 11*f)*(-2*f**2 + 2*f - 2*f)*(-4*f + 6*f + f) to l*f + o*f**2 + h + q*f**3 + r*f**4 and give r.\nAnswer: -144","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let q(p) be the third derivative of -5*p**4\/24 - 14*p**3\/3 - p**2. Let o = 159 + -166. Let g be q(o). Solve -3 - g = 5*h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(a) = a**3 + 11*a**2 + 17*a + 1. Let w be q(-9). Suppose w = -8*x + 6*x. Put x, 0, -11, -2\/7 in increasing order.\nAnswer: -11, x, -2\/7, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(r) = 47*r**2. Let q(u) = 15*u**2. Let i(g) = -7*q(g) + 2*t(g). Let k(v) = -7*v**2. Determine k(i(p)).\nAnswer: -847*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Find t, given that -18*t**4 - 324552*t**3 - 1463080412*t**2 - 975278760*t - 162540450 = 0.\nAnswer: -9015, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: 0 - (-13 - (-622)\/48)\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -11733.79 less than 2910.027?\nAnswer: 14643.817","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Put together 10928707 and -1.6.\nAnswer: 10928705.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 322\/8 + (-4)\/16. Let o be 1\/(-1) + -4*(-14)\/4. Factor -19 + t*x + 104*x - 162*x**2 - o.\nAnswer: -2*(9*x - 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 1 + 3*1\/3. Suppose 35 = -k*n - 3*l, -11 = 2*n - 3*l + 6. Let s = 5 - n. Is s a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00000499012369 to seven dps.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 6926, 6927, 6930, 6935, 6942?\nAnswer: 6951","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -180 + -79. Let r = 457 + x. What is the units digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 117 + 23. What is the highest common factor of c and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 348871379 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange b**3 + 10*b**3 - 1 - 15*b + 3*b**3 - 11*b**3 + 9*b + 5*b**2 to the form g*b**3 + u*b**2 + w + p*b and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 18635, 18629, 18625, 18623, 18623, 18625?\n\"Answer: t**2 - 9*t + 18643","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q(y) = 9*y - 15. Let d(i) = 14*i - 24. Let x(b) = -5*d(b) + 8*q(b). Let p(s) = -9*s. Give x(p(m)).\nAnswer: -18*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let a be -1 + -3 + -8 + 749. What is the greatest common factor of 603 and a?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1*(1 + 3*(((sqrt(153) + 5*(0 + sqrt(153)))**2 - sqrt(153)) + -1 + sqrt(153) + -1 - 5*4*(1 + sqrt(153)))).\nAnswer: -16459 + 180*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 570 minutes after 10:49 AM?\nAnswer: 8:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand (j + 3*j - 2*j)*(171 + 28 + 234).\nAnswer: 866*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 626?\nAnswer: 2, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 125160?\nAnswer: 2, 3, 5, 7, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2 in -1\/5, -2\/5, -94.4?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -74\/7 in 0.4, 4\/9, 5, 0.5, -78.8?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 1\/7 - (-54)\/14. Suppose -4*n = -s*g - 124, -n + 3*g = -5*n + 131. Is n a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 45849 + -45850. Let s(n) = -n**3 - 3. Let d(h) = -4*h**3 - 11. Let o(c) = -6*d(c) + 22*s(c). Calculate o(y).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 161 and 76601937?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -r - 8 + 26. Let k be 1*7*r\/(-18). Is -226*(3\/15 + k\/10) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 8 and 87.\nAnswer: 696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from fvpvvvptvtkkktvxpp. Give prob of picking 3 p and 1 f.\nAnswer: 1\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 2*4\/16*-2. Let f(v) = 5*v**3 - 2*v**2 - 3*v - 1. Let m be f(u). Which is the nearest to 1?  (a) 0.07  (b) 0.1  (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -213607*b**3 + 73*b**2 - 3*b - 11 wrt b.\nAnswer: -1281642","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 4399407683?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 1001110 - -101?\nAnswer: 1010011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 3, -3, -4\/3, 13?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 7164325.\nAnswer: 5, 7, 40939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -36*x - 90 = 90 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let l(t) = -23507*t + 117545. What is l(5)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: -8b8ba9 (base 12) to base 2\nAnswer: -1000100001011110110001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-21)\/(-14)*(-16)\/(-6). Suppose 0*h + 8 = w*h. Determine g, given that -2*g + 2*g**3 - 4 - 8*g**4 + 4 - 2*g**h + 10*g**2 = 0.\nAnswer: -1, 0, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -450 by 598.\nAnswer: -225\/299","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (3\/42)\/(2\/85 + (-6318)\/73440).\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in fifty-nine quarters of a litre?\nAnswer: 14750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -21.689 or -0.8?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j**(2\/7)\/(j\/j**9*j))**(-23) assuming j is positive.\nAnswer: j**(-1173\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -7 - -7.2. Suppose -u = 4*m + 15, -u + 2*u + 2*m = -5. Put -5, 0, u, z in ascending order.\nAnswer: -5, 0, z, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve c - 3*n = -6, -2*n + 17 = 299*c - 304*c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let o(u) = u**3 + 3*u**2 - 4*u + 5. Let k be o(-4). Suppose 6*l = -k*l. Which is bigger: 2 or l?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence hqz when three letters picked without replacement from zlqzxlzzzzhzhxz?\nAnswer: 8\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 13 + (-25 - -9) - (-4 + -1).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 283777573.\nAnswer: 283777573","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 4\/((-60)\/(-35)) + (-2)\/(-3). Solve 8*r = o*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(k) = -k. Let o(q) = -1498773*q**2. What is s(o(r))?\nAnswer: 1498773*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 787508 and 8614784.\nAnswer: 2516","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 29300*i**3*k**2 - 5*i**3*p - 3*i**2*k*p + 26*i*k**2*p + 2*i*k*p - 943 wrt i?\nAnswer: 175800*k**2 - 30*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 328 minutes after 5:53 AM?\nAnswer: 11:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*q + 8*r = 4*r - 12, 2*q + 5*r = -18. Let o(b) = -b**2 - 14*b - 14. Let u be o(-13). Let z be (-3)\/(-171) - u\/(-3). Which is smaller: z or q?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, 0, -25, 206, 1 in decreasing order.\nAnswer: 206, 4, 1, 0, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let o be ((-10)\/4)\/((-195)\/(-26) - 8). Solve -t - 27 = -o*z, 3*t + 6*z - 14 = 2*z for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*o + 1 - 7 = 0. Let v be (0 - 1)*(-9)\/o. Solve 0 = -3*x - 18 + v for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 32369517 divided by 3.\nAnswer: 10789839","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 72\/18 + (-15 - (-4)\/2)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence di when two letters picked without replacement from {d: 2, i: 2}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 3912639?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Add together -30404689486 and -0.4.\nAnswer: -30404689486.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 37767 + -0.4859369562.\nAnswer: 37766.5140630438","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((2*sqrt(833)*-1 - sqrt(833))*-2)**2.\nAnswer: 29988","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (37*w - 23*w + 116*w)*(-1 + 5 - 3) + 3*w - 4*w - w.\nAnswer: 128*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 13*g + 384 - 995. Let d(o) = -8 + 3*o + 47*o**2 - 90*o**2 + g*o**2. Let w(y) = 3*y**2 + 2*y - 7. Determine 4*d(z) - 6*w(z).\nAnswer: -2*z**2 + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let g(q) = 2*q**3 + q**2 + q. Let w be g(-1). Let z be (-4)\/w*(-1)\/(-2). Suppose -30 = -2*c + 3*p, 67 = 5*c - 4*p - z. Does 12 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from zhhzhh. Give prob of sequence hzh.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand (15 + 9 - 51*m**2 - 22)*(-1 - 5*m**2 + 1).\nAnswer: 255*m**4 - 10*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -237 = -3*g + 339. Let t = -137 + g. Let b = -27 + 49. What is the highest common divisor of t and b?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 1 + (264\/10 - (-2)\/(-5)). Let x = r + -31. Let q = x - -40. What is the tens digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 135 + -135 - ((-3)\/(-4))\/((-650)\/(-40)). Which is the closest to 4\/7?  (a) k  (b) -5  (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -91734, -1, 0, -2\/15, 4 in decreasing order.\nAnswer: 4, 0, -2\/15, -1, -91734","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -3*r**2*u**2 + 2*r**2 - 797*r*u**2 + 10647 wrt u.\nAnswer: -6*r**2*u - 1594*r*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let p(g) = 220*g**2 - 26808*g - 3896. Calculate p(122).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let k(y) = 3*y + 0*y - y + 2 - 4*y + y**2. Let b be k(3). Suppose 3*d - 63 = -3*l, l = -2*l - b*d + 53. Is l a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 209 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Express 20 - 20 + 8*n + (4 - 6 + 5)*(1 + n - 1) - 12*n + 14*n + 0 - 2 as f + k*n and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let z(g) = -g**3 - 11*g**2 - g - 1. Let f be z(-11). Calculate the greatest common divisor of 5 and f.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: 125\/20 + (-6 - (1 - 1))\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2?  (a) 163  (b) -3.5  (c) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Convert -21365 (base 7) to base 6.\nAnswer: -40415","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r(h) = 2*h - h**2 + 2*h - 5*h. Let z(n) = -n**3 - 2*n**2. Let t(v) = 2*r(v) - z(v). Give t(-2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*s + 23 = 3*s - 5*v, -2*s + 3*v = -15. Let o = -13 - -3. Let r = s - o. What is the greatest common divisor of r and 112?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 310869963?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Round -29.133474 to one dp.\nAnswer: -29.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-52)\/91 + (-1)\/(-14). What is the closest to h in -1\/3, -0.6, 4, -4?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -25225\/4 + 21139\/4. Suppose -5*q + 5842 = -4*t + 981, -t + 1 = 0. Let b = a + q. Calculate the common denominator of b and 55\/3.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/5 of a millennium in decades?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-2)\/4*((-72576)\/27)\/42. Solve -576*j - p = -568*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 4541?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(84)*1 - 6*sqrt(756))\/(-2*sqrt(63) - (sqrt(280)\/sqrt(5))\/sqrt(8)).\nAnswer: 34*sqrt(3)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 178237 is divided by 9899.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -59  (b) 0.4  (c) -93  (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let q(p) = -8*p**3 - 173*p**2 - 103*p - 45. Give q(-21).\nAnswer: -87","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -0.07 + 0.04. Let o = j - -0.33. Which is the nearest to -2\/9?  (a) 1  (b) o  (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from fylflslseffflefllf. Give prob of sequence fsf.\nAnswer: 7\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let q(d) = -5*d**2 - 32*d - 29. Calculate q(-7).\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-4)\/(-110))\/((-1918)\/1918)?\nAnswer: -2\/55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -5 - 7 - 6 - 2*h - 5*h**3 - 2*h**3 + 2 to v*h**3 + l*h**2 + d*h + r and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.1 in 1\/2, -1, -429, -3?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -2a + 15?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -217*g**3*w - 59*w - 1 wrt g.\nAnswer: -651*g**2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -7*51452\/30058 - -12.\nAnswer: 2\/113","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*f - 2*f = -60. Let l be 4 - (1 + 2) - (1 - 4). Let i be l + 3 + (-3 - 1). What is the greatest common divisor of i and f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 6373 - 1945*f**2 + 4183*f**2 + 2963*f**2 + 137895*f - 137895*f wrt f.\nAnswer: 10402*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 21 = 2*c - 1. Suppose 0 = 4*o - 7*o - 6. What is the remainder when c is divided by (o - (-6 + -2)) + -2?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (2\/(-6))\/((-5)\/(-3 - 57)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(56)*1*2)\/(sqrt(8) + -1*sqrt(72)) + 5.\nAnswer: -sqrt(7) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (7*i**2 + 122*i**2 - 432*i**2)*(-2 + 2 - i + (7*i + 3*i - 2*i)*(-1 + 1 - 1)).\nAnswer: 2727*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -81*n + 561 = -218 - 6511. Solve -6*t - n = -21*t for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.4, 33, -0.1, 0, 3\/2 in increasing order.\nAnswer: -0.1, 0, 0.4, 3\/2, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of -1*(13 + -8) + 29 and 9?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 37 + -35. Suppose f - n*f = 0. Let g(m) = -m**3 - m**2 + 2*m + 3. What are the prime factors of g(f)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -228 by 441.\nAnswer: -76\/147","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -34035, -68228, -102577, -137082?\n\"Answer: -78*l**2 - 33959*l + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -178 in 1\/6, 4\/17, -0.3, -5, -1\/5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Put -108\/29, 879, 5, 0.5, -0.06 in descending order.\nAnswer: 879, 5, 0.5, -0.06, -108\/29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 424130383 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let t(k) = k**3 - 7*k**2 + 4. Let s(i) = -i**2 + 4*i + 7. Let v be s(0). What is the remainder when (3\/9 - 1)*-6 is divided by t(v)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*a**2 - 4*a**2 + 2*a**2)*(-211*a - 23*a - 5*a).\nAnswer: 478*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -22 - -1133323313?\nAnswer: 1133323231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(450)*1*6)\/(sqrt(9) - sqrt(225)*1))**2.\nAnswer: 225\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -154.4 - -154. What is the fourth biggest value in n, -0.5, 4\/3, -1\/5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 2\/443  (b) -94  (c) 0.3  (d) 2\/7  (e) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let y(t) = 13*t - 21. Let c be y(15). Suppose 0 = 2*m - 416 - c. List the prime factors of m.\nAnswer: 5, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1?  (a) 1\/4  (b) 1\/11  (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 108703 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 460*l - 15953972 = 167*l - 165*l. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 159, 169, 193, 237, 307, 409?\n\"Answer: w**3 + w**2 + 157","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 404, 782, 1166, 1562, 1976, 2414?\nAnswer: 2882","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Round 3.03 to the nearest integer.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 2\/(-22) - (-165)\/484?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4204824205 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence nnfn when four letters picked without replacement from mnffmfffnffnfn.\nAnswer: 8\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 94*k - 43458 = 107976. List the prime factors of k.\nAnswer: 3, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 1416573*z**3 + 90*z**2 - 2*z - 1615 wrt z.\nAnswer: 8499438","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: -399 divided by -133\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 79675 + -79671. Let m be (-9 + -1)\/((-6)\/9). Sort a, m, -5.\nAnswer: -5, a, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -5023 - -10474. Calculate the remainder when h is divided by 116.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 94697.123 rounded to the nearest 100?\nAnswer: 94700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -2 - 13*i**5 + 5*i**2 + 9*i**5 - 14*i**2 - 7*i**4 + 2*i**5 wrt i.\nAnswer: -120*i**2 - 168*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(i) = -18*i. Let a(h) = 2*h**2 + 45. Give a(k(y)).\nAnswer: 648*y**2 + 45","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 58447818 a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 198, 4, -217?\nAnswer: -217","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Put -1\/3, 2\/11, -20409 in ascending order.\nAnswer: -20409, -1\/3, 2\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ss when two letters picked without replacement from {m: 5, s: 8}?\nAnswer: 14\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 242 + -129. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: -740 divided by -4\nAnswer: 185","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -551 - -623. Calculate the highest common factor of r and 666.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 6 divide 3706?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Add together 0 and -751.8128.\nAnswer: -751.8128","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 30 a factor of 8263?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5*a**4 - 2*a**4 + 2*a**4)*(-3 + 0 + 1 - 2*a).\nAnswer: 10*a**5 + 10*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let j(b) = -b**3 + 6*b**2 + 11*b - 6. Let g be j(7). Let n be (-10)\/25 - g\/(-5). Let t = n - 1. Solve -4*s + 32 = -4*c, 0 = -3*c - 0*c - 4*s - t for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(h) = -3*h**3 + h**2 + 6*h - 1. Let d(w) = -w**3 + w**2 - w + 1. Let b(q) = -a(q) - 3*d(q). Let o be b(-3). Let t = o + 325. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 12033311 (base 4) to base 9.\nAnswer: 38082","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.106 * -0.18.\nAnswer: -0.01908","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -223*k*u**5 - 5*k*u - 71*u**2 wrt u.\nAnswer: -13380*k*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (3 - 4 - z**2 + 4)*(0*z + 2*z + 0*z) to i + a*z + y*z**3 + l*z**2 and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 3405 + -5?\nAnswer: 3400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let d(v) = -21*v**3 - 214*v**2 - 213*v - 16. What is d(-10)?\nAnswer: 1714","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 2900 + -2432. What is the smallest common multiple of l and 60?\nAnswer: 2340","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 643727267 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Sort 155, 14, 3, 2, 0.\nAnswer: 0, 2, 3, 14, 155","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-2)\/18)\/(((-36)\/(-81))\/(-4))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 40*l - 21*l + 650 = 9*l. Let v be -84 + (-2)\/(-1) - -1. Let g = l - v. Solve 5*x - x - g = 0 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 77\/13844760 and 79\/367560.\nAnswer: 41534280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let b(k) = -k**3 - 19*k**2 + 8*k + 3. Let o be b(-20). Let g = -1187 + 1511. What is the greatest common divisor of g and o?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -221, -462, -703, -944, -1185, -1426?\n\"Answer: -241*n + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 9549792 divided by 2387448?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -6153*a**2 + 3242*a + 2?\nAnswer: -12306","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 14068?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: -94 (base 11) to base 12\nAnswer: -87","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -3439 + 3475. Calculate the highest common divisor of 516 and d.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 220 is divided by 197?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*m + 6 = -4*m. Let d(q) = 4*q**2 + 10*q - 4. Let a(i) = -3*i**2 - 9*i + 3. Let l = -750 - -757. Let j(f) = l*a(f) + m*d(f). What is j(-2)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 359 minutes before 1:54 AM?\nAnswer: 7:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -1 + 1.5. Let z = 0.23 - 2.23. Let g = 0 - -3. What is the nearest to z in 3\/4, u, g?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -17*o - 867 - 970 + 1030 + 3*o - 2*o - 3*o - 5*o + 2*o + 5*o + (1 + 4 - 3)*(3*o - 2*o + 0*o) + o + 4*o - 4*o in the form f*o + k and give f.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -5 + 5 + 7 + -4?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 12 + -6. What is the units digit of 2\/3 + 80\/d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -3  (b) -0.5  (c) 0.068  (d) -0.6  (e) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2\/75 in 3, -0.1, 0.2, 106, -0.4, 14?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let x(v) = v**2 - 19*v + 7. Calculate x(15).\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: 34 (base 16) to base 2\nAnswer: 110100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -5, 4, -0.3, 8, -27?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let x(k) = -4*k. Suppose -6 = 2*o - 0. Let y(b) = 4*b**2 + 3*b + 3. Let d(h) = h**2 + h + 1. Let p(m) = o*d(m) + y(m). Give p(x(j)).\nAnswer: 16*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -6*((-2*sqrt(176)*2 + 5)**2 + 0 + -2 + sqrt(176) + 1)*5.\nAnswer: -85200 + 4680*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 138\/(-72) + (-27)\/(-12). Let o = -9 - 1. Let s = -13 - o. Which is the smallest value?  (a) 1  (b) s  (c) 0.04  (d) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 91\/22592 and -65\/934744.\nAnswer: 7477952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -0.57 + 0.27. Which is the second biggest value?  (a) d  (b) 5  (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 5*m - 3*w + 14, 52*m - 5*w = 47*m - 20 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 10330 is divided by 3350?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 55*t**2 - 105*t**2 + 86*t**2.\nAnswer: 36*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 5807049 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: 1 divided by -88245\nAnswer: -1\/88245","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let d(m) = m**3 + 4*m**2 - 5*m. Let l be d(-5). Suppose -6*n + n = l. Solve n = -2*t - 4 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 43240099.\nAnswer: 7, 882451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {a: 4}. What is prob of picking 4 a?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let o(j) be the second derivative of -j**3 + j**2\/2 + 4*j. Let f be o(-2). Suppose t - 1 = -3*k - 0, -4*t - f = -5*k. Is k smaller than -2\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 557637788?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 221*c - 221 - 145 - 297 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*a + 33 = 5*p, 0*p = -2*a - 3*p + 19. Suppose -a*m - 3*o = 3*m - 38, 2*m - 4 = -4*o. Solve 2*s - m - 5 = -3*z, -12 = -4*s for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:50 AM and 10:27 AM?\nAnswer: 97","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: 2061 + -64\nAnswer: 1997","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -212*l - 80 wrt l.\nAnswer: -212","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let p(j) = 1034*j + 5868. Give p(-6).\nAnswer: -336","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 9792 and 1071?\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let l(s) = 3*s + 40. Let x be (0 + 2\/6)*(-113 - -65). Give l(x).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -71, -43, 17, 115, 257, 449?\n\"Answer: p**3 + 10*p**2 - 9*p - 73","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -14*d = -13*d + 4*c + 1, -3*c = 0 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Put 6, -12, 1\/3, 1.311, 4 in ascending order.\nAnswer: -12, 1\/3, 1.311, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -8752*0.28.\nAnswer: -2450.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -3614.1 + 3614. Which is the smallest value?  (a) x  (b) -1  (c) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 56\/5 + -54\/5. Let o be (4\/(-10))\/(34\/(-10)). Suppose 3*h + 6 = 3*g, 2*h - 7*h = -g + 10. What is the nearest to g in o, -4\/7, j?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 2896 and 19005.\nAnswer: 304080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -27 + 26.56. Let k = x + 0.04. Let z = k - -0.7. Which is the second biggest value?  (a) -0.4  (b) z  (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 53 minutes after 8:59 AM?\nAnswer: 9:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let b(f) = -5*f**3 + f**2 + 16*f - 24. Let t = -6 + 2. Suppose -55 = 3833*r - 3822*r. Let q(z) = 5*z**3 - 15*z + 25. Let k(g) = r*b(g) + t*q(g). Factor k(v).\nAnswer: 5*(v - 2)*(v - 1)*(v + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert b2331 (base 13) to base 15.\nAnswer: 64842","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 38, 85, 120, 137, 130, 93, 20?\n\"Answer: -u**3 + 54*u - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 5 a factor of 1787620?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (39\/(-26))\/(3\/(-10))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 111101100010011011110 (base 2) in base 15?\nAnswer: 29c71d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (2\/(-4))\/(3\/(-186)). Let o be (-2)\/(-2)*(v - 0). Suppose 1 = -q + o. Is q a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2432*n**2 - 2486*n**2 - 2373*n**2 + 7502*n**2.\nAnswer: 211*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 188 - 65. Suppose 4*b + h = 2*t + 3*b, 3*t = -b + 172. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 21916819 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand (10*i - 3*i + 3*i)*(i**4 + 6*i**4 - 5*i**4).\nAnswer: 20*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 202 minutes after 5:22 PM?\nAnswer: 8:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 11\/10 of a century in years?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -43 + 50. Does 4 = k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -0.8 + 1. Let p = 0 - x. Let s = p - 0.3. Sort 1, -3\/8, s in ascending order.\nAnswer: s, -3\/8, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 16 + (6 - 5) - (1 - -7)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 56 and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let g(q) be the first derivative of -11*q**8\/56 + q**4\/2 - 2*q - 12. Let w(d) be the first derivative of g(d). Find the third derivative of w(i) wrt i.\nAnswer: -1320*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add together -34 and -735.\nAnswer: -769","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let d(j) = -j**2 + 7*j - 4. Let v be d(6). Let x = 656 + -656.1. Which is the nearest to 0.04?  (a) v  (b) x  (c) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -29628872*-0.4\nAnswer: 11851548.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(2448) + 1 + 0 + ((sqrt(68) + (sqrt(68) - (sqrt(68) + sqrt(68) + 1*sqrt(68))))\/sqrt(4) - sqrt(17))*1.\nAnswer: 1 + 10*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 231\/(-42)*16\/(-11).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 1\/3, -0.3, -1, -2.8, 2, -0.32, 0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 519, 510, 481, 420, 315?\nAnswer: 154","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -178072 + 2314930\/13. Let m be ((-3)\/9)\/((-1)\/9). Which is the fourth smallest value?  (a) 1  (b) 4  (c) k  (d) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*b + 20 = -4*n + 3*n, -5*b - 4*n - 31 = 0. Let x = -11 - b. Let s(v) = v**3 + 6*v**2 + 5*v - 2. Is 2 a factor of s(x)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 540?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*u**2 + 16935*u + 16930 = 0. What is u?\nAnswer: -3386, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Convert 5a (base 11) to base 5.\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-1)\/(5\/(-8))*5. Suppose 12 = -5*t - s. Let p = t - -6. Solve -3 + 7 = -p*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 26*l - v - 3216 = 22*l, 5*l - 4045 = -5*v. Is 805 equal to l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 6\/(4*(-4)\/(-16)*(-8)\/16)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -27*t = -25*t - 58. What is the tens digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 7 divide 3611524?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 - 1 + i)*(-726*i**4 - 738*i**4 + 1865*i**4).\nAnswer: 401*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 h and 1 x when two letters picked without replacement from {m: 2, d: 8, x: 2, h: 1}?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Sort 28, -1, 7, 22, 5.\nAnswer: -1, 5, 7, 22, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 6761 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -1\/16  (b) -5356  (c) -2  (d) 34\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 29305979*r**4 - 12458032.\nAnswer: 117223916*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*u - 3*u + 1185 = 0. Let t = u - 146. Does 13 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 56638?\nAnswer: 2, 28319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.24521 - -13758.2.\nAnswer: 13758.44521","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Express (-42 - 132*x**2 + 426632*x**3 + 42 - 426634*x**3 + 32*x)*(0 - 1 + 3) as l*x + n + o*x**3 + f*x**2 and give l.\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 64\/(-42) - (22\/3 - 1413\/157).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(z) be the first derivative of -z**3\/7 - 3*z**2\/2 - 28. Factor o(k).\nAnswer: -3*k*(k + 7)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -684*q - 624 = -736*q for q.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -803, -3208, -7217, -12830, -20047, -28868?\n\"Answer: -802*r**2 + r - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 5540937235 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let g(l) = -2*l**2 + 14*l + 2. Calculate the lowest common multiple of g(7) and 11.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -46 + -1 - (25 - -1 - (-1701 - -1711)).\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r(u) = u**3 + 2 + u - u**2 + 3*u - 5*u. Let x be r(0). Suppose -x*b + 6 = -8. List the prime factors of b.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 4055 + -3653556\/901. Is g bigger than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((t\/((t*t*t*t\/t**2)\/t*t)*t)**46\/((t\/(t**(1\/4)*t))\/((t*t\/t**5)\/t)))\/((t**1)**(-2\/5)*(t\/t**(-2))**(-10\/13)) assuming t is positive.\nAnswer: t**(-271\/260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 125*l - 78*l - 2*l**3 - l**3 - 55*l.\nAnswer: -3*l**3 - 8*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 42*x - 708 - 115 = 353 for x.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*y + y**5 + 2*y + (2*y**3 + 3 - 3)*(-86*y**2 + 232*y**2 + 277*y**2).\nAnswer: 847*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let u(h) = h**3 - 18*h**2 + 26*h + 90. Calculate u(16).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Put 184, -3\/4, -2, 63716 in ascending order.\nAnswer: -2, -3\/4, 184, 63716","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 56*k**4*y + 75*k**4 + 27*k**3*y - 7*k**3 + 2*k**2*y + 5470266*k**2 + 10 wrt k?\nAnswer: 1344*k*y + 1800*k + 162*y - 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1006*z = -2*o + 1010*z + 22, 3*z + 19 = 4*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -6*(2*sqrt(147))**2.\nAnswer: -3528","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 542 a factor of 474323?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let u(m) be the first derivative of -2\/5*m**5 + 0*m**3 + 1 - m**4 + 2*m**2 + 2*m. Solve u(g) = 0 for g.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*s - 20 = 5*n, -9 = 4*n - 0*n - 3*s for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -20010011110 - -1?\nAnswer: -20010011102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 38525169?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let s(h) = h**2 + 4*h - 6. Suppose 5 + 5 = -2*b. Let a(u) = u**3 + 6*u**2 - u - 6. Let l be a(b). Suppose 2*t - 6*t = l. Determine s(t).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -1.1082 + 1.092266. What is s rounded to 3 dps?\nAnswer: -0.016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(t) = -t**2 + 4*t. Let d be n(-5). What is the tens digit of 4\/18 + (-575)\/d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.1 in -3\/5, -16756, 3?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((b\/(((b\/(((b\/(b*(b**(-2\/7)*b)\/b*b))\/b)\/b))\/b*b)\/b))\/b)**(-32)*b**2*b\/(b**(-1)*b) assuming b is positive.\nAnswer: b**(629\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 11*f**3 - 14*f**3 - 2*f + 9*f wrt f.\nAnswer: -18*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z\/z**(-2))**(1\/21)*(z\/z**(-2\/3))\/(z\/(z**(11\/4)*z)*z) assuming z is positive.\nAnswer: z**(299\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 1.72 times 4?\nAnswer: 6.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*z + 3*z - 79 = -25*i, -225*i - 2 + 25 = -224*i + 5*z for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:27 PM and 5:32 PM?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence tj when two letters picked without replacement from {t: 1, j: 1, e: 2, c: 2}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-3 - -2)*(-1 + 0). Let b = -1074 + 1079. Sort b, a, 2 in increasing order.\nAnswer: a, 2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(c) = -c**3 - 15*c**2 - 45*c - 14. Calculate k(-11).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 575 = 7*m - 888. Suppose 0*o - 5*s - 145 = -2*o, 3*o - m = -s. Is o a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-2088)\/(-32))\/29*4\/18?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.2 and -2.049.\nAnswer: 0.4098","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let c(j) = j**2 - 10*j - 170. Give c(18).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: 84 divided by 11\nAnswer: 84\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*l - 50 = -2*l. Let r = -19 - l. Let d(f) be the third derivative of f**5\/60 - f**4\/4 - f**3\/6 + f**2. Determine d(r).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 6116, 6114, 6112, 6110?\n\"Answer: -2*g + 6118","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: 6 + (1 - -1) + 6 + -14\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in 27\/2 of a gram?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -0.1, -18, -3\/4, 0, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in one tenth of a century?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 315, 314, 313?\nAnswer: 312","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 1 + 2. Suppose 9*h = 3*h + 444. Let u = h + -72. Solve -3*y = 3*b - 3, u*b + y - 4 = -f*y for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -21*g + 6*g + 15*g + 205*g**3.\nAnswer: 205*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = m + 3*m - 20. Let s be m - (-12)\/(-4) - 15. Let u = 18 + s. What is the units digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2 - 116270731*k - 1 + 3 + 116268785*k.\nAnswer: -1946*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 820247 + -70?\nAnswer: 820167","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let f(g) = 65*g. Let b(h) = -67*h. Calculate -2*b(r) - 3*f(r).\nAnswer: -61*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4 + 12 + -24 + (0 - -3 - 9).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a(v) = 24*v**2 - 4*v - 4. Let o be a(-1). Suppose -o*t = -21*t - 669. Is 19 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(l) = 6*l**2 - 13*l + 4. What is u(4)?\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-72)\/3*(-196)\/392?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Round 24425.765 to the nearest 100.\nAnswer: 24400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 33*l - 5*a + 63 + 46 = 42*l, 4*l + 2*a = 42 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 76 = 368*f - 356 + 102 - 406. Let r(m) = -1 - m + m - 3*m. Calculate r(f).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -5\/6 in 14187, -5\/2, 20?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Divide 530 by -1394.\nAnswer: -265\/697","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 188 + -110. Let l be 407\/(-15) + 5\/(450\/12). Let v = -18 - l. What is the remainder when q is divided by v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*d + 4 = 0, 5*d + 28 = -4*f + 29 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1 in 6, -4\/11, -0.17, 0.2, -5\/6?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 3\/2  (b) 3\/11  (c) -21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -c**2 + 65590*c - 65590*c.\nAnswer: -c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*w - 3*j = -18, -43409*w + 16 = -43413*w + j for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 11 + -15. What is the smallest value in w, 3\/2, -3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 z when two letters picked without replacement from zztzzztzzt.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Work out -56114215615 - -0.5.\nAnswer: -56114215614.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Find k such that 4*k**2\/3 + 958744*k + 172348135788 = 0.\nAnswer: -359529","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -122*k + 90599 + 102527. Calculate the remainder when k is divided by 157.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4*(-3 + -2*((sqrt(242) - 4*sqrt(242)*2)**2 - ((sqrt(242) + (sqrt(242) - -3*sqrt(242)))*-6 - sqrt(242))**2)*6*-4).\nAnswer: -42375180","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 0.1  (b) 4  (c) -0.4  (d) -1\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let n(l) = l - 4 - 3*l**2 + 3*l - 5*l**2 - 2*l**3 + 1. Let r be n(6). Is (2 - 3)\/(3\/r) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: 30140 (base 5) to base 15\nAnswer: 880","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 20*a - 20*a - a**3 + 9 wrt a.\nAnswer: -3*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence guy when three letters picked without replacement from gffyegffuguyuu?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*f + f + 42 = 4*g, 2*f = -4*g. Let i be (-21)\/f - 3\/6. Suppose 3*r**i + r**3 - 2*r - 4*r**3 + 2*r**3 = 0. Calculate r.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -2\/275 + -271\/550. What is the second smallest value in 0.22, l, -4\/9?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*z + 13 + 3 = 4 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -241, -239, -239, -241, -245, -251?\nAnswer: -259","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1\/6, -4\/3, -5, -4\/143, 2 in decreasing order.\nAnswer: 2, -4\/143, -1\/6, -4\/3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*j + 22 = 5*l, 3*j - 2*j + 22 = 4*l. Suppose -6*i - 24 = -10*i. What is the third derivative of 16 - i*t**2 - 16 + 2*t**l wrt t?\nAnswer: 240*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1?  (a) 3.6  (b) -33  (c) -1  (d) -4  (e) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 172 and 52318.\nAnswer: 4499348","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in fifteen quarters of a day?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 8 + -12. Let l = -0.061 - 1.339. What is the nearest to -2 in -0.2, l, w?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(p) be the second derivative of p**5\/120 - 2*p**3\/3 - 13*p. Let l(f) be the second derivative of g(f). Let u(h) = -23*h**2. Give u(l(m)).\nAnswer: -23*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 1.1 and 0.18.\nAnswer: 0.198","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is -193 divided by -4?\nAnswer: 193\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 2*b**2*h*x + 7*b**2*x**2 + 190*b**2*x + 13*h*x**2 wrt x?\nAnswer: 14*b**2 + 26*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 2 + -17 + 0 + (8389 - 8383)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (6*d**3 - 4*d**3 - 3*d**3)*(-3*d - 2*d + 2*d + 0*d + 0*d + 2*d + (3 - 2 - 3)*(2*d + 0*d + 0*d) + 7*d - 3*d + 6*d).\nAnswer: -5*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 22 and 99.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 58\/58*(-5)\/5*21?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 11 - 19. Let j = 8 + p. Let z be (-1 - (-4 - 1))*1. Solve z*i - 6*i + 10 = j for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -j + 5*a + 6 + 29 = 0, 0 = -j + 2*a + 20. Let g be (14 + -11)\/(j*1). Which is greater: g or 0?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*j + 7 = 3. Let u be 7\/2 + 1\/j. What is the second derivative of 3*w**4 - w + 4 + 0*w**4 - u wrt w?\nAnswer: 36*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 243 minutes after 1:45 PM?\nAnswer: 5:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 89 = -3*k + 12*c - 16*c, 9*k - 115*c - 2650 = 4*k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 95 and 399095.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (7\/3 - 2)*9. Suppose -x*j - 4 = -16. Let h = 33 - 30. What is the biggest value in h, j, 1?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 30487 divided by -320?\nAnswer: -30487\/320","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in fourty-one halves of a litre?\nAnswer: 20500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 4056 + -3283. Calculate the remainder when a is divided by 24.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 319057 to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: -13 times 1.3\nAnswer: -16.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -1320926.6299971 + 1320920.43. Let m = 35 - 28.8. Let v = k + m. What is v rounded to six decimal places?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 1071 - 639. Is 48 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1696 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let y(j) = -8*j. Let a = 3 + -1. Let f be -17 + 11 + 0 + 0\/2. Let r(c) = 2*c**2. Let k(v) = a*y(v) + f*r(v). Find the second derivative of k(t) wrt t.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 817316655 and 685?\nAnswer: 685","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Express (-64*k + 9 + 59*k - 53*k)*(-1 - 5 + 2) in the form v*k + l and give v.\nAnswer: 232","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 365 and 80463593?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 11753831\/15408588 + 1\/98773. Find the common denominator of t and -33\/10.\nAnswer: 780","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -81 + 22. Let k = 108 + b. Let p = k - 48.999706. Round p to five dps.\nAnswer: 0.00029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*y = 3*y + 1. Suppose 48 = -5*g + 2*g. Let a = -14 - g. Are a and y equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 138212.\nAnswer: 2, 109, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 55\/2 of a kilogram in grams?\nAnswer: 27500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 452989898 to the nearest integer?\nAnswer: 768","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 2392 and 2005094?\nAnswer: 598","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*m + 4*m + 3*m)*(1 - 1 - 1)*(4 - 6 + 3).\nAnswer: -3*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(1216) + -1 - sqrt(1216)) + 2 + -1 + 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -299 - -509. What is the hundreds digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -6.3, -36, 87.1 in decreasing order.\nAnswer: 87.1, -6.3, -36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let l(x) be the second derivative of -x**6\/360 + x**5\/40 - 7*x**4\/24 - 109*x**3\/3 + 30*x + 2. Let q(c) be the second derivative of l(c). Give q(5).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 70450 - 22676. List the prime factors of k.\nAnswer: 2, 23887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 5001215 to the nearest integer?\nAnswer: 171","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let k(p) = -6 - 4*p + 2 + 3 - 1. Let w be k(-5). What is the tens digit of (-4)\/w + 292\/18?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 139657123 is divided by 475?\nAnswer: 473","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 5285, 10397, 15525, 20675, 25853, 31065, 36317?\nAnswer: 41615","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 336\/(-280) - 1\/(-5). Sort 3, -5, y, 4.\nAnswer: -5, y, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 12812015 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:08 PM and 9:17 PM?\nAnswer: 429","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 6056814 and 2724.\nAnswer: 1362","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*o - 183 + 208 = 0 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 901547360 and 112?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Divide -1316 by -7.\nAnswer: 188","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: -0.062 - 0.044156893\nAnswer: -0.106156893","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -14 in 15, 2, 2\/7, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -16789 + 33062. Let j = g + 30727. Round j to the nearest ten thousand.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, 5, 15, -4 in ascending order.\nAnswer: -5, -4, 5, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 346544 to the power of 1\/2, to the nearest integer?\nAnswer: 589","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let j(k) = k + 12. Suppose -5*c = -5*c - 3*c. Let s be (24\/28 + c)\/((-1)\/7). Give j(s).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from fnlyapy. Give prob of picking 1 a and 1 n.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence phhw when four letters picked without replacement from hzwoihp.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -1 - -2. Let o be 1*((-2)\/1)\/(-6). Which is the closest to 0.2?  (a) t  (b) -4  (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 12923 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -4821*b**2 + 2861*b**6 + 66*b**4 - 49*b**6 - 66*b**4 wrt b.\nAnswer: 337440*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -i + 5*i + 12 = 0. Let l = i + 1. Let u = -0.2 + 0.1. Put -0.3, u, l in decreasing order.\nAnswer: u, -0.3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 5 + -4 + (-10 - 2). Let g = i - -9. Sort 3, g, -4.\nAnswer: -4, g, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(h) = -h**2 + 361*h + 1790. Give i(0).\nAnswer: 1790","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-3)\/15 + (-372)\/15. Let s be (0 - k)*10\/25. Solve -4*a + 11 = 3*d, -5*a + 5 + s = 5*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 10048?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand (23*g - 21*g - 21*g)*((2*g + 4*g - 3*g)*(5 + 3*g - 5) - 2*g**2 + 0*g**2 + 4*g**2).\nAnswer: -209*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (6*sqrt(684)*-1*-3 - (sqrt(57)\/sqrt(3)*4 + sqrt(19) + sqrt(19) + (sqrt(19) - (0 + sqrt(931) - sqrt(19)))))**2*-3.\nAnswer: -652593","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-44 + 1 - -3)\/((-1)\/(-122)). Round h to the nearest one thousand.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(o) = -31*o - 66. Suppose -f - 22 = 3*w, -f - 5*w + 13 = -9*w. What is the tens digit of c(f)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00001504 to seven dps.\nAnswer: 0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -35076 + 35105. What is the remainder when o is divided by 2 - 1 - -23 - -2?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(g) = -16*g**2. Let i(k) = -37*k - 2. Let u(c) = -375*c - 21. Let f(d) = 21*i(d) - 2*u(d). Give b(f(n)).\nAnswer: -11664*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let m(c) = 5*c**2 + 8*c - 27. Let x be m(10). Suppose -k + 4*k = -5*l + x, 4*k + 3*l = 752. Calculate the remainder when k is divided by 32.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 6 divided by 92237?\nAnswer: 6\/92237","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -34 or -36?\nAnswer: -34","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -j + 4 + 21. Let i be (36\/10 + 0)*j. Suppose 2*r - 7*r = -i. Is r a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.1?  (a) -1  (b) 1\/8  (c) 0  (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Are 2920534 and 2920534 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 162, 325, 488?\n\"Answer: 163*w - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 3825 to the power of 1\/2, to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 6*n - 11*n - 38*n**2 + 15 + 45*n**2 + 78*n**2 wrt n?\nAnswer: 170","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 55 + (-7 - 0\/(-58))?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 2401553097 and 54?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 4668370 and 102850?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 552868?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -17*d**4*p - 62*d**3*p**3 - 9345*p**3 wrt d.\nAnswer: -68*d**3*p - 186*d**2*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3*((-2*(sqrt(448) + 0 + sqrt(448)) - (-1 + sqrt(448))*-6) + (2*(sqrt(448) + 1) - -3*1*sqrt(448)))**2 + -1.\nAnswer: -1344*sqrt(7) + 65903","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 30 = 5*d + 5*f, 25 = -0*f + 5*f. Let p(s) = -s + 1. Let n be p(d). Let q = 44 + -50. Sort -1, n, q.\nAnswer: q, -1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 6395371 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 233.9 - 235. Which is the nearest to -0.1?  (a) 1\/4  (b) v  (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 481 minutes after 10:12 PM?\nAnswer: 6:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 891937 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Express (-690 - 176*w + 690)*(14*w - 17*w - 39*w) in the form u + s*w + l*w**2 and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 19203707?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 141081 and 42?\nAnswer: 1975134","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 2\/7 of a week in minutes?\nAnswer: 2880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {j: 1, p: 3, f: 3}. What is prob of picking 2 f, 1 j, and 1 p?\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -13.5 + 16. Let a = h - 0.5. What is the smallest value in -1\/4, -3, a?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 237, 471, 705?\n\"Answer: 234*s + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -204*p + 0 + 0 + 0 + 211*p.\nAnswer: 7*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Work out -1 - 272.824.\nAnswer: -273.824","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (4 + -3 - 6) + 1.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.1?  (a) 0  (b) 10  (c) 4  (d) -56\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let m(s) = -s**2 + 45*s - 67. Determine m(49).\nAnswer: -263","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 0.243 + -0.043. What is the smallest value in -1\/12, 2\/5, 1\/3, k?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 2900 and 362935.\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -8*k + 2 + 5*k - 2*k.\nAnswer: -5*k + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -29.8 - -30. What is the nearest to -24 in 4, 3, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(o) = -39*o. Let s = 44 - 43. Let v be d(s). Is -40 < v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(i) = -5*i**2 - 8*i + 7. Let p(y) = -y**2 + 1. Let b(x) = -a(x) + 3*p(x). What is the least common multiple of 22 and b(-6)?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 36689041 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 0.06 - 3.06. Let s = w + 0. Let b = 0.3 - 0.7. What is the second smallest value in b, s, 0.4?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 17899 to the power of 1\/2, to the nearest integer?\nAnswer: 134","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 47164 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let g(c) = c**3 + 5*c**2 - 2*c - 7. Let h be g(-5). Suppose h*i - 55 = -5*a, a - 60 = -4*a - 4*i. What is the units digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 4810 and 48100.\nAnswer: 48100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 7.00034 - 7. Round y to five dps.\nAnswer: 0.00034","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*c + 4*b - 14 = 0, -25*c + 2 = -27*c + 2*b for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 298314 a multiple of 78?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 1, 13, 41, 91, 169?\n\"Answer: t**3 + 2*t**2 - t - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f be ((-6)\/(-123) - (-2016)\/5740)\/1. Let g = -1 - -1.1. Which is the closest to f?  (a) 9  (b) g  (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be -6*4\/(-8)*-3. Suppose 6 = 3*s + 3. Let p = s - j. Calculate the remainder when 17 is divided by p.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(y) = 7*y**2 + 2*y - 13. What is c(3)?\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let i(a) = 15*a**2. Let o(k) = -1533*k + 306. Give o(i(r)).\nAnswer: -22995*r**2 + 306","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -130*g + 133*g + 4*i = 12404, 4*i - 20 = 0. Is g a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:42 PM and 4:14 AM?\nAnswer: 572","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -266759\/27 - -9878. Calculate the common denominator of q and 16\/1227.\nAnswer: 11043","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 7494*w**4 - 32548*w**2 wrt w?\nAnswer: 179856*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((c**(-1))**(-18)*(c**0)**(-46))**(-4\/23))**(1\/28) assuming c is positive.\nAnswer: c**(-18\/161)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1510 is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((z\/z**(2\/3))\/z)**(12\/7)\/(z**2*z**(1\/5)*z))\/(((z*z\/(((z*z**(2\/3))\/z*z*z*z)\/z))\/(z*z*z**(-7\/5)))\/(z**(-6)*z*z*z**(-6))) assuming z is positive.\nAnswer: z**(-1373\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4*(sqrt(136) - -4*sqrt(136)*1))\/(sqrt(72)*-1 + (sqrt(8) - sqrt(40)\/(sqrt(5) + (sqrt(5) - -1*sqrt(5))))).\nAnswer: -60*sqrt(17)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 253 and 62029?\nAnswer: 1426667","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is -179791 (base 13) in base 10?\nAnswer: -592294","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*l - 8934 = 4300. Let g = 32328\/5 - l. Let j = g + 152. Which is the nearest to -2?  (a) 3\/7  (b) -5  (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 6685 is divided by 1548.\nAnswer: 493","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let z(u) = u**3 + u**2 + 85. Let v be z(0). Let k = -7522 + 7539. What is the greatest common divisor of k and v?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*a - 38 = -10. Let r(i) = -i**3 + 14*i**2 + i - 12. Let f be r(a). Solve -4*z = f*c + 22, -3*c - 2*z - 13 = -0*z for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5*(sqrt(133) + (sqrt(133)*-1 + sqrt(133) - sqrt(133)) + sqrt(133) + sqrt(133)) - sqrt(133))\/(sqrt(1008) + sqrt(1008)*3) + 0 + -5.\nAnswer: -5 - 11*sqrt(19)\/48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let v(n) = 2*n**2 + 11*n - 12. Give v(-10).\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 309392.77 rounded to the nearest one hundred?\nAnswer: 309400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 1602 + -35456?\nAnswer: -33754","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is o in -35*o**3\/6 + 1189*o**2\/6 - 1103*o\/3 - 32\/3 = 0?\nAnswer: -1\/35, 2, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*u = -0*u - 374145. Let y be (u\/(-9))\/(1\/(-612)). Suppose d + 511628 = -y. Round d to the nearest 1000000.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 6\/15 - (-48)\/30. Suppose -4*r + 25304 = -z + 6031, b*r - 9647 = -3*z. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 5377 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -8*y + 10*y + 8, -4*i - y = 24 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 632618291 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let z(r) = 2*r**2 - 21*r - 36. Let w be z(-15). Let m = w + -129. What are the prime factors of m?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 2\/9, -2, -2\/23, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 56806?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 426*i - 17*i**2 + 55816 - 55815 + 15*i**2 to j + z*i + f*i**2 and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (6*sqrt(44)\/sqrt(4))**2 + -4.\nAnswer: 392","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Factor -46 - 24*j + 2*j**2 - 11 + 1.\nAnswer: 2*(j - 14)*(j + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 1012 + 0?\nAnswer: 1012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let n(r) be the third derivative of r**7\/2520 - r**6\/360 - r**5\/90 + r**4\/6 - 71*r**3\/6 + 2*r**2 - 21. Let o(p) be the first derivative of n(p). Factor o(q).\nAnswer: (q - 3)*(q - 2)*(q + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 299 - 664. Let a = 365 + v. Is a at most as big as 4\/77?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 6790928?\nAnswer: 2, 424433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Put 49, 8, -10, -2 in ascending order.\nAnswer: -10, -2, 8, 49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let j(g) = -2 + 12*g**2 + 6*g + 4*g**2 + 8*g - 12*g. Suppose 3*x = -2*a + 15, -x + 5 = 4. What is the remainder when j(1) is divided by a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -277 divided by 277?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*z - 12 = 4*z, -4*z = -4*g + 1892. Is (-5 + g\/6)\/((-2)\/(-4)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 1\/10*c**2 + 1\/5 + 3\/10*c.\nAnswer: (c + 1)*(c + 2)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 1140963?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*d + 16, -41*d - 991 = -3*h - 36*d. Solve -342*p = -h*p + 15 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (6 + -1 - 8) + -2. Sort 16, 1, t in ascending order.\nAnswer: t, 1, 16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -v - 2*v = 276. Let z = -39 - v. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-9)\/12 + 95\/20. Solve 5*g - 14 = 4*u + 4, 0 = 3*u + d*g - 2 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 114 = -2*s - 222. Let w = -39 - s. List the prime factors of w.\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 287*k - 293*k + 48 = 0 for k.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is -725363 (base 8) in base 13?\nAnswer: -85541","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f(t) = -t**2 + 20*t - 98. Let p be f(10). Suppose 3*j + 3 = 0, 156 = -p*g + 6*g + 4*j. Calculate the lowest common multiple of 22 and g.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 5 (base 6) to base 14.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -1\/303 + 8789\/606. Let j be -10 + (1 - (-3 - -2)). Calculate the common denominator of f and (70\/j - -2)*-6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*d = -v + 11006606, 11*d = 7*d - 3*v - 22013182. What is d rounded to the nearest one million?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(x) = -2*x**2 - 4*x - 4. Let v be a(-3). List the prime factors of (-306)\/15*v*2\/8.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -50348, -201479, -453404, -806123, -1259636, -1813943, -2469044?\n\"Answer: -50397*w**2 + 60*w - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -99\/769 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 274724*q**3 + q**2 + 5360213*q - 4?\nAnswer: 1648344*q + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let y(i) = i**3 - i + 2. Suppose 8*w = 3*w. Let s be y(w). Solve -s*k - 3 = -7 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*c - 6 = 14, 0 = m - 3*c + 12. Suppose m = 4*n - 4*h + 28 - 1260, 1232 = 4*n - 5*h. What is the units digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -173 = -21*n - 5 for n.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 359 is divided by 154?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-847)\/(-198))\/((-189)\/(-162))?\nAnswer: 11\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 3 + -3 + 4 + 1 + -4 + -3?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find s, given that -4*s**4\/7 + 4*s**3\/7 + 24*s**2\/7 = 0.\nAnswer: -2, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -34, -33, -32, -31?\n\"Answer: x - 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h(u) be the second derivative of 0*u**2 + 1\/5*u**6 + 6*u + 0 + 0*u**5 + 5\/12*u**4 + 0*u**3. What is the third derivative of h(d) wrt d?\nAnswer: 144*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(c) = -13*c**2 - c + 5. Let g be j(2). Let d = -44 - g. Solve -5*f = d*i - 35, -f = -5*f - i + 19 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(343)*2*4)**2*2.\nAnswer: 43904","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 576 and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((3\/3)\/(-1))\/((-1149)\/(-383)).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (15\/(-135))\/(1\/(-6))?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*x + 14*x = 1605. Let d = -75 + x. Suppose d = 5*i - 349. Round i to the nearest ten.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -832, -5966, -19472, -45400, -87800, -150722?\n\"Answer: -675*j**3 - 136*j**2 - j - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (21\/(-14))\/(31\/5580*-5).\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:40 AM and 5:31 AM?\nAnswer: 231","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -222*h**3 - 136*h**3 + 355*h**3.\nAnswer: -3*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let a(b) = -b**2 - 7*b + 5. Let g be a(-6). Suppose -o + g = -19. Let i = 120 - o. Is 30 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(f) = 247928*f. Let u(l) = -4*l. What is t(u(h))?\nAnswer: -991712*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -26725, -26727, -26731, -26737, -26745, -26755?\nAnswer: -26767","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 612 minutes after 6:25 PM?\nAnswer: 4:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let a(g) = -g**2 + 5. Let z be a(-2). What is the remainder when z\/((-8)\/(-148))*2 is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((w\/((w**2*w)\/w))\/w)**(-12)*w\/w**(-1\/5)*w**(3\/14) assuming w is positive.\nAnswer: w**(1779\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: 0.5 times -19.8\nAnswer: -9.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 7611 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Put -1578, 30.3, 26\/17 in increasing order.\nAnswer: -1578, 26\/17, 30.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(96)*2*1)\/(sqrt(24)\/(sqrt(3) + (sqrt(432) + sqrt(432)*2 - sqrt(432) - sqrt(3))))*2.\nAnswer: 192*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"}
{"text":"Question: Solve -w - 31 = c, -9*w + c - 3700906 + 3700967 = 0 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let l(n) = -905*n - 465. Let g(v) = 10*v - 1. Let u(i) = 4*g(i) - l(i). Find the first derivative of u(w) wrt w.\nAnswer: 945","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 567*y - 22971 = 193*y - 835*y for y.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -1.175 + 2.175. What is the closest to y in -5, 6\/5, 5\/2, -1\/4?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 102, 443, 1344, 3081, 5930?\nAnswer: 10167","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*w + 25 = -h + 6*h, 5*w - 40 = -5*h. Suppose 0 = -4*k + b - 3*b + 16, -2*b = h*k - 14. Let s = -0.08 + 3.08. Put 1, s, k in decreasing order.\nAnswer: s, k, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 630 minutes before 7:53 PM?\nAnswer: 9:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3 - 680*f + 377*f + 305*f.\nAnswer: 2*f + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is -1454022.13 rounded to the nearest one hundred thousand?\nAnswer: -1500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 13 = -5*a + 8 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 77026 to the nearest integer?\nAnswer: 278","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 88.87 - 89. Let d = -4.13 - n. Which is the closest to 0?  (a) 3  (b) -0.55  (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 88 a factor of 2334376?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: -75*(0 - 8\/32)*12\/9\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -3bc90e (base 16) to base 10.\nAnswer: -3918094","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 s when two letters picked without replacement from zszsz?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -7412 or -6458?\nAnswer: -6458","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"}
{"text":"Question: Calculate -31 - (-52 + -10 + (18 - 33)).\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*i = i + 6016. Let l = -5608767\/8 + 702602. Let g = l + i. Find the common denominator of 40\/9 and g.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1731*j - 24622 = 37520 - 8481 for j.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 1.05 + -0.05. Let j = s - 2. Let v = 197\/291 - 1\/97. What is the nearest to j in 4, v, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4 divided by -4214608.\nAnswer: 1\/1053652","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: 417.38892 - -0.5\nAnswer: 417.88892","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0 in -2\/5, -1\/2, -0.8, -21?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1 divided by -171.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 68 plus -111700?\nAnswer: -111632","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let z(b) be the first derivative of b**2 - 90. Let i(q) = -51*q**2. Calculate i(z(a)).\nAnswer: -204*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*y + 18*y - 120 = 0. Solve y*a + 36 = 15*a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 38541\/2 - 38271197\/1986. Which is smaller: 1 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence bbb when three letters picked without replacement from {b: 14, c: 1}?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1756866 or -1756873?\nAnswer: -1756873","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let o(y) be the second derivative of y**4\/84 - 11*y**3\/42 - 6*y**2\/7 + 1860*y - 1. Determine a, given that o(a) = 0.\nAnswer: -1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(l) = l**3 - l**2 + l + 4. Let d be s(0). Let v be (6\/10)\/((-3)\/(-15)). Suppose -21 = -d*o + v. List the prime factors of o.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -5 divided by -12166?\nAnswer: 5\/12166","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose q = 5*l + 3 + 2, 5*q + 5*l - 25 = 0. Suppose -q*g = -3*g. What is g rounded to the nearest one hundred?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*z + 0*z = 0, -z = -3*g + 12. Let s be g\/14 - 262\/(-14). Suppose d = f - 8, 2*d - s - 25 = -3*f. What are the prime factors of f?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -6*u + 6*u + 2*u**3 - 4*u + 4*u - u**3 + (217 - 397 + 489)*(-5*u**3 + 3*u**3 + 4*u**3).\nAnswer: 619*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (2 - 2 - (-96 - -114)) + 9.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-2)\/4 + 30\/12. Let n be (-5)\/i*32\/(-20). Calculate the remainder when 26 is divided by -2 + (16 - 0\/n).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 192*g = 1800 - 264. Calculate the smallest common multiple of (-80)\/(-14) - (-4)\/14 and g.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*t = -3*n + 3, 0 = -4*n + 23*t - 16877 - 16950 + 33777 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 239518129.\nAnswer: 239518129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -154767 - -314767. Round d to the nearest one hundred thousand.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: -31943790602553 - 3\nAnswer: -31943790602556","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -0.0358 - 0.0642. What is the nearest to -1 in 0.2, b, 0.1, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(b) = 6699*b**3 + 2197*b**2 - 5*b. Let c(t) = -3350*t**3 - 1097*t**2 + 3*t. Let y(f) = 5*c(f) + 3*s(f). What is the third derivative of y(g) wrt g?\nAnswer: 20082","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -231 - -206 - (1 - 40)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g(n) = 912*n. Let u(j) = -j. Calculate u(g(o)).\nAnswer: -912*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Divide -144 by 3.\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 8407 - 5644. What is the hundreds digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence rl when two letters picked without replacement from klvykvvvrl?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 49\/72 and -11\/8472.\nAnswer: 25416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 438\/19, 4, -2, 3, 0.4, -1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*i - 332 = -992. Suppose 0 = y - i + 33. What is the highest common factor of y and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 197189 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 7346*k**4*z - 5*k**4 + k**3*z + 3*k**3 + 12583*k**2 - 67*k + 2*z wrt k.\nAnswer: 176304*k*z - 120*k + 6*z + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -25\/1166 and 35\/143.\nAnswer: 15158","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let p(h) = -h**3 + 4*h**2 - 1. Let s be p(4). Let c = s + 3. Let x be 23 + c + 1 + -1. Solve 3*q + x = -2*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 4 + 0 - (6 - (-3 - (-15 - -3)))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n(s) = 64*s**3 + 3*s**2 + 3*s. Let l(t) = -1728*t**3 - 80*t**2 - 80*t. What is 6*l(j) + 160*n(j)?\nAnswer: -128*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let t(g) = 2*g**2 + 16*g + 28. Let b be t(-2). Is b at most 26\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 14*(1550\/225 + 5\/(-360)*-8) + 3?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 7862 - -14?\nAnswer: 7876","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*y - 16 = -2*g, -y + 0 = -4*g + 5. Let w(t) = t + 1. What is w(y)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 322101 - -121?\nAnswer: 322222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Does 12 divide 5004?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*f = -22 - 66. Is f a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (6 + (0 - 8) - 4) + -6?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -6 - -1 - (-237 + 195).\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*d + 2*i = -14, -35 = -4*d + 7*d + 5*i. Solve -5*t = -91*j + 93*j - 23, 2*j - t + 7 = d for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 7 - (18 + -21 - -3).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4 + 4 + 2*o**5)*(-3 - 1 + 0 + (-1 - 3 + 5)*(-2 - 1 + 1) - 23 + 16 - 14).\nAnswer: -54*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-6*(-1 + sqrt(1088) + sqrt(1088)) - (sqrt(1088) + 1 + sqrt(1088))*3)**2 + 6*((2*sqrt(68) + -4)*4)**2.\nAnswer: -3936*sqrt(17) + 380169","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 8 + (16 - 26) + 11 - 16?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 1414 a factor of 300319460?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 11878874 to the power of 1\/2, to the nearest integer?\nAnswer: 3447","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Express (2*y - 1 + 1)*(38 - 63 - 48)*(2 - 4 - 1) in the form u*y + r and give u.\nAnswer: 438","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*a - 2*a + 88*a**3.\nAnswer: 88*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (14\/6 + -1)*3. Suppose -5 = -3*j - 26. Let m = -7 - j. Put -4, m, p in increasing order.\nAnswer: -4, m, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4241*-19672.\nAnswer: -83428952","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 1 - (0 + 1 + -3) - -3. Suppose 4*f - 6 = f. What is the third derivative of 14*t**f - 22*t**i - 311 + 311 wrt t?\nAnswer: -2640*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0*g**4 - 2*g**5 + 0*g**5 - 2*g**4 + (2*g + g - g)*(3*g**4 - 3*g**4 + 2*g**4) - 3*g**5 - 120247*g**4 + 2*g**5 + 120132*g**4.\nAnswer: g**5 - 117*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3279534 is divided by 55?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -a + 13 = -3*j, 0*j = 2*j + 3*a + 5. Let m be 15\/(-6) + (-3)\/(3\/j). Determine y, given that 3\/2*y + 0 - m*y**2 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -6*t + 8*t - 14. What is the remainder when 20 is divided by t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(i) = -i**2 - 12*i + 8. Calculate the lowest common multiple of z(-12) and 7.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.2 * -20083.022\nAnswer: 4016.6044","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.1 + -0.7707?\nAnswer: -0.6707","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -9 + 6. Is g\/3 - -3 - -79 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0*l**3 - 14*l**3 + 17*l**3 - 19*l**3.\nAnswer: -16*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*n = -5*n + 52. Suppose -2*x - 4225 = -15*x - 52*x. Calculate the highest common factor of n and x.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(n) = -n**2 + 3*n + 6. Let w be z(9). Let c = 93 - 140. Is c greater than w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15743 = p - f, -4*f - 47226 = -15*p + 12*p. What is the tens digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 35342.\nAnswer: 2, 41, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: How many weeks are there in 4116194.46 minutes?\nAnswer: 408.352625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 852 to the power of 1\/2, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 24254 and 108238?\nAnswer: 362","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Round 229829930 to the nearest one million.\nAnswer: 230000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 6*f**2 + 12*f**2 + 477*f**6 - 2*f**4 - 474*f**6 wrt f?\nAnswer: 360*f**3 - 48*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 14 + (-24 - (8 + -17)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n(l) = -15*l**3 + 4*l**2 - 2*l - 13. Let i(f) = -7*f**3 + 2*f**2 - f - 6. Let d = 38 - 25. Calculate d*i(m) - 6*n(m).\nAnswer: -m**3 + 2*m**2 - m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 171 - 99. Let i = -31 + 40. Calculate the greatest common divisor of h and i.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (80\/(-90))\/(4\/(-18)). Suppose 2*w - 28758 = -2*s, -f*s - 16807 + 74327 = 2*w. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -4.2 - -4.5. Sort 4, 3, a, -1\/2.\nAnswer: -1\/2, a, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -81 + 55 + 25 + 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1?  (a) -1368225\/4  (b) -4  (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {g: 1, t: 8, j: 4, w: 1, s: 2}. What is prob of sequence gtj?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: How many weeks are there in 17375788.71 microseconds?\nAnswer: 0.000028729809375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -459373 and -1181?\nAnswer: 458192","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*k + 5 = 5*y - 13, -2*k = 3*y - 14. Suppose 3 = -4*d - k*w + 11, -3*d + 3*w = 0. Let z = 0 - d. Let p(j) = 8*j**3 + j + 1. Give p(z).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*v**2\/5 - 444*v\/5 + 16428\/5 = 0. Calculate v.\nAnswer: 74","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*z + 4*f + 32701 = 10998, -7233 = -z + 2*f. List the prime factors of z.\nAnswer: 7237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2\/93 bigger than -0.01?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 108183 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*f - 5*f - 27 = 0. Let p(l) = 2*l + 0 - 4 - 3*l. Let t be p(f). Do t and 4 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -33434033 + 33?\nAnswer: -33434000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let f(s) = 15*s**2 - 3*s - 9. Let g be f(3). Suppose 193 = w + g. Differentiate -6 - 3 - 169*d**4 + 124*d**4 + w*d**4 with respect to d.\nAnswer: 124*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 16 - 17.75. Let j = 2.1 + w. Let x = 0.3500152 - j. What is x rounded to six decimal places?\nAnswer: 0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 - 1 + 1)*(0*g**3 + 0*g**3 - 3*g**3) - 2*g**2 - 2*g**3 + 3*g**2 + 11*g**3 - 3*g**3 - 7*g + 7*g.\nAnswer: 15*g**3 + g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -1, 799, 2\/95157?\nAnswer: 799","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose a + 262 = 628. Is a a multiple of 61?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 442?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: -101101100010111110100000 (base 2) to base 5\nAnswer: -11024032434","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 13 = -2*i - 3*y, 0 = -4*i - 0*y + 2*y - 50. Let k(p) = -9*p**2 - 11*p - 11. Let w(m) = -3*m**2 - 4*m - 4. Give i*w(s) + 4*k(s).\nAnswer: -3*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from vlvwcvvwwvvhm. What is prob of picking 2 w and 1 m?\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -389, -405, -425, -449, -477, -509, -545?\nAnswer: -585","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0 in 2\/11, -12\/5, -156506?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let a be ((147\/35)\/7)\/((-9)\/(-45)). Let m be 338\/182 + ((-1)\/7)\/(-1). Let h = 4 - 2. Solve -x - h*q - 1 = 0, -4*x = -a*x - q - m for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(d) = d**3 + 4*d**2 - 5*d - 5. Suppose 0 = 4*j + 5*o - 3*o + 10, -3*j + 15 = -3*o. Let m(u) = u**3 - u - 5. Let z be m(j). Calculate k(z).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -12, -5, -29 in ascending order.\nAnswer: -29, -12, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -148341885*t**4 - 143227289*t**2 wrt t.\nAnswer: -3560205240*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 600, 1200, 1800, 2400?\n\"Answer: 600*o","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 4\/3?  (a) 23  (b) 0.3  (c) -0.047\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is -10 (base 11) in base 6?\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 224769?\nAnswer: 3, 74923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*p - y - 7640 + 1838, 2*y + 3477 = 3*p. Calculate the greatest common divisor of p and 27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 77\/50 and -43\/2?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let r(t) = t**2 + t. Let o(m) = -m + 6. Let k be o(10). What is the units digit of r(k)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(m) = -11 - 4*m**2 - 121*m**3 - m**2 + 4*m**2 + 9*m. Let v be z(7). What is v rounded to the nearest one thousand?\nAnswer: -42000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(o) = 19*o**3 + 17*o. Suppose -b = 1, -5*b + 7 = -2*q - 14. Let u(y) = -9*y**3 - 8*y. Determine q*u(t) - 6*h(t).\nAnswer: 3*t**3 + 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let c(a) be the third derivative of 0*a**3 + 0*a + 0 + 5\/8*a**4 + 1\/12*a**6 + 0*a**5 - 9*a**2. Find the second derivative of c(g) wrt g.\nAnswer: 60*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.02*-14991.\nAnswer: -299.82","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Put together 0.3 and -4.423.\nAnswer: -4.123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 4*(6\/(-3) - -3). Let d = 7.6 + -7.9. Sort d, 0.4, v.\nAnswer: d, 0.4, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(r) = -1802*r. Let l(f) = -6107*f**2 - 4. What is v(l(y))?\nAnswer: 11004814*y**2 + 7208","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 divided by -129?\nAnswer: -1\/129","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1798 = -5*s + 3083. What is the greatest common factor of s and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -62.745044802 - -1.\nAnswer: -61.745044802","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 121704?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (3\/2)\/((-12)\/16). Let w be (-4 - -497)*13\/1040. Let j = -105\/16 + w. What is the smallest value in -0.1, p, j?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, -2\/671, -65.\nAnswer: -65, -3, -2\/671","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 20 and 14?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let v(a) = 1371*a + 5. Let x(o) = 13720*o + 49. Determine 49*v(r) - 5*x(r).\nAnswer: -1421*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let m(k) = -k**2 - 5*k + 2. Let u be m(-5). Suppose 2*r - 24 = -3*w, 2*w - 37 = -u*w - r. What is the units digit of w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 10548, 10460, 10288, 10008, 9596, 9028, 8280, 7328?\nAnswer: 6148","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*g + 6 = -6. Let s be (12\/(-8))\/(g\/(-8)). Let w be 14\/(-63) + s\/72. Which is smaller: w or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -585*m**3 + 204*m + 1.\nAnswer: -3510*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.1?  (a) -425  (b) -4\/9  (c) -3\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -247, -243, -237, -229, -219, -207, -193?\n\"Answer: y**2 + y - 249","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 688 and 48?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*n + 93 = 77. Factor -3 - 1\/3*k**n - 2*k.\nAnswer: -(k + 3)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 10 - 5. Let k(h) = -5*h - 23 + 282*h**2 - 41 - 281*h**2. Let s be k(-6). Solve x = -7*j + s*j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 128 minutes before 4:13 PM?\nAnswer: 2:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let h(g) = -g + 7. What is the tens digit of h(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(i) = -17*i + 6. Let m(o) = 7 - 23 + 10 + 8 - 6*o. Give -4*a(s) + 11*m(s).\nAnswer: 2*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let p(d) = 19533*d. Let q(r) = r. What is p(q(g))?\nAnswer: 19533*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 236*o**4 + 20129*o**3 + 7*o + 618708133 wrt o.\nAnswer: 944*o**3 + 60387*o**2 + 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -205 + 371. Let n = -114 + i. Is 29 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -12170.2189 - 2.\nAnswer: -12172.2189","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 22*l + 2*l + 37 = 133. What is the greatest common factor of 2240 and l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -31\/26155450 and -111\/10462180?\nAnswer: 52310900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 30751?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -8?  (a) 0.2  (b) -9  (c) 53\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: -3497695 - 184.6592\nAnswer: -3497879.6592","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: 1 * 46475\nAnswer: 46475","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -0.08  (b) 2.1  (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 17078 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 814, 1031, 676, -251, -1750, -3821, -6464?\n\"Answer: -286*b**2 + 1075*b + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 4.739252358 rounded to 2 decimal places?\nAnswer: 4.74","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 16837 and 205999?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 172*c*o**2 + 4*c - 2*o**2 + 462 wrt o?\nAnswer: 344*c*o - 4*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 p and 1 z when two letters picked without replacement from {t: 1, z: 4, k: 1, a: 6, p: 1}.\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: 0.3+0.7493\nAnswer: 1.0493","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -5  (b) -7  (c) 1\/5  (d) -0.1  (e) -29  (f) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Work out 33 * -0.01.\nAnswer: -0.33","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 18421.00001372 - 18421. What is u rounded to 5 dps?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(b) = 4*b - 17. What is the remainder when 41 is divided by z(7)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 2\/1117 - -43553\/5585. What is the common denominator of 38\/33 and w?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k**1)**(2\/107)*k**(-6)\/k**(-1\/3)*(k**(2\/19)*k**(2\/7))\/((k\/(k*k\/(k**1*k)*k))\/(k**(1\/3)*k)) assuming k is positive.\nAnswer: k**(-167513\/42693)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let q(c) = -c**3 + 6*c**2 + 3*c + 13. What is q(6)?\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let n be -1 - (4 - (-85)\/(-5)). Calculate the greatest common factor of 42 and n.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 5403620 to the nearest integer?\nAnswer: 2325","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 106491821 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(176) + -3)*6.\nAnswer: -18 + 24*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let w(n) = n + 21. Let o be w(-21). Suppose o = d - 10*d - 90. Let h(r) = -r**3 - 11*r**2 - 10*r + 11. What is the least common multiple of h(d) and 5?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -40 = -3*w - 6*v + v, -v = 4*w - 25. Suppose -2*u - 164 = -4*h, w*h - 214 + 27 = -2*u. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from sosygygoyygyy. Give prob of picking 2 s and 2 g.\nAnswer: 3\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 76\/13 - (-6)\/39 and 1.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: 2042 (base 5) to base 15\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 1843764089 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 313 minutes before 2:05 AM?\nAnswer: 8:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*x + 237 = 4*l, 3*l + 3*x = -9 + 186. Let a = -21 + l. Is a a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -590 or 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 10919 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 507*a**6 - 10*a**3*t**2 - 2*a**2 + 2*a*t**2 - 8*a*t - 35*t wrt a?\nAnswer: 60840*a**3 - 60*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -7*a + 1416 + 5*a - 2954 + 1416.\nAnswer: -2*a - 122","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-12)\/(-10)*(-520)\/(-16). Suppose -5*w + n - 14 = 0. Suppose -3*j + 37 = -2*v, -w = -v - 4*v. What is the units digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1232814 is divided by 70?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Sum 0.049612424 and 0.03.\nAnswer: 0.079612424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*v = 3*t + v - 20, 0 = 3*t - 5*v - 8. Let w(z) = 5 + 2*z**2 - z**2 + 5*z - 2 - t. What is w(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -445 (base 11) to base 14.\nAnswer: -2a1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (0 + 0 - 2)*(-3*i**4 + 0*i**4 + 5*i**4) - 552*i**3 + 386593*i**2 + 6 + 2*i - 386593*i**2 - 2*i**4 to b*i**3 + l*i**2 + h*i + a + g*i**4 and give b.\nAnswer: -552","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -442 - -4?\nAnswer: -434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 83 = 122*p - 405. Solve 3*o + 2*u = -p, -6*o + u = -11*o - 9 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((1 + sqrt(450) + 4 - (4*sqrt(450) + -2))*-5*3*4)**2.\nAnswer: -2268000*sqrt(2) + 14756400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 382*p - 381*p = -128. Suppose -5*z - 5*t - 405 = 0, -t = 2*z + z + 245. Let r = z - p. What is the tens digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -476 - -1649. Is b a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:55 AM and 12:43 PM?\nAnswer: 528","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let p(l) = 3396*l**2 - 11*l + 49. Let a be p(5). Suppose 7*g - 84933 = a. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((1*sqrt(120)*2 + sqrt(120))\/(sqrt(20)\/(2*sqrt(5))))\/(-6*(sqrt(10) + sqrt(20)\/sqrt(2)) - 6*sqrt(20)\/sqrt(2)).\nAnswer: -sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 16350 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 d when two letters picked without replacement from ddydddddddddd.\nAnswer: 11\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 13\/((-13)\/(-40)) - (0 + 3). Let g = i - 31. Suppose 23 = 2*p - n, g*p - 5*n = 2*p + 31. What is the highest common divisor of 21 and p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.8515561 weeks to seconds.\nAnswer: 515021.12928","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -53542617 divided by -3.\nAnswer: 17847539","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (192\/48)\/((-1)\/(-2)). Calculate the highest common factor of 914 and i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (26\/(-13))\/(-1*(-3)\/(-3))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 v when two letters picked without replacement from {h: 2, v: 4, n: 1, l: 3}.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 429 minutes after 10:38 PM?\nAnswer: 5:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 139169 is divided by 15453?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:30 PM and 6:45 PM?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*p + 35 = -5*l, 0 = -4*l - 2*p - 20 - 18. What is the hundreds digit of (2460\/(-54)*6)\/(8\/l)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.1 * -0.02507\nAnswer: 0.002507","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4*-1*3*(sqrt(78) + sqrt(78)*1 + sqrt(78)))\/(sqrt(42)\/sqrt(7)*-3 - (sqrt(150) - (sqrt(150) + sqrt(150)*4))).\nAnswer: 36*sqrt(13)\/17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -93 - -98. Suppose 0 = 3*r + 4*p + 258, 2*r - p + m*p = -168. Find the common denominator of (8\/r)\/(-2)*87*-1 and -61\/12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*x - 7*x = -2*z + 20, 18 = -x + 5*z. Let v(u) = 2*u + 10. What is v(x)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -69*w**3 - 69*w**2 + 31*w**3 + 39*w**3 as x*w + y + f*w**3 + g*w**2 and give g.\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let k(b) = 4641*b. Let w(p) = 2*p**2. Determine k(w(v)).\nAnswer: 9282*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 464, 3121, 10230, 24041, 46804, 80769, 128186?\n\"Answer: 375*w**3 - 24*w**2 + 104*w + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 5012572.\nAnswer: 2, 97, 12919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let f(v) = 4 - 231*v - 200*v + 453*v + v**2. Let r be f(-22). Let m(w) = 3*w. Determine m(r).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of (3 + -2)*(3 + 3880 + 2).\nAnswer: 3, 5, 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 n and 1 y when three letters picked without replacement from {y: 5, n: 2}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: (80\/60)\/(((-224)\/(-60))\/28)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(p) = 5*p - 3. Let o be f(2). Suppose 9 = h + 2*i, 4*i + 5 - 68 = -5*h. Let l = h - o. Solve -2*m - l = -5*s + 3*s, -3*s - m = 4 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 13633 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (1\/(-10)*2)\/((-1)\/10)*9369\/(-1735).\nAnswer: -54\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -39*l + 41*l = -2 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:24 AM and 6:27 PM?\nAnswer: 663","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 1337, 2685, 4033, 5381, 6729, 8077?\nAnswer: 9425","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 162 and 52083.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -31*t - 74 = 3*t - 244. Sort t, -5, 3, -10 in ascending order.\nAnswer: -10, -5, 3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:47 PM and 8:29 PM?\nAnswer: 402","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3\/12 + 9\/12.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(t) = 18*t**2. Let p(r) be the second derivative of r**4\/4 - 54*r. What is h(p(c))?\nAnswer: 162*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-18)\/(-21))\/((1 - (-77)\/(-196))\/((-50)\/200))?\nAnswer: -6\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2437 less than 0.1?\nAnswer: -2436.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 21 - 34. Let m = 18 - b. Suppose 0 = 4*o - 2 - 50. Calculate the remainder when m is divided by o.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2867 = 191*q + 5584 + 6451 for q.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 261 - 258. Suppose 2*s = -5*a + 320, -4*a + m*s = s - 256. What is the units digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -b + 5 + 4. Let o be 4 + (-72)\/(b\/(-3)). Suppose 3*m - o - 2 = -3*v, 3*m - 27 = -2*v. Is m a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 9505 is divided by 452?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let l(s) = -10*s**2 + 4*s - 2. Let g be l(2). Let b = g + 61. Suppose 2*x - 5*r = 39, 0*x - r = -2*x + 19. What is the remainder when b is divided by x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -4191*t - 4194*t + 8384*t + 155 in the form r + b*t and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let g(h) = -h**2 + 10*h - 13. Determine g(9).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 747868?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 63359 is divided by 1584?\nAnswer: 1583","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Sort -7, 0, 4, 1 in decreasing order.\nAnswer: 4, 1, 0, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 167623?\nAnswer: 167623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 68373310 - 68373310 - 14037*h to y*h + r and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let q(m) = -m**2 - 18*m + 18. Let h(s) = s**2 + 19*s - 18. Let n(o) = 5*h(o) + 6*q(o). Let x be n(-13). Solve -3*u - x = 3*p, -u - 2*u - 2 = -p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (7 - 10 - 3)*(-1095)\/18. Does 3 divide i - (2\/4)\/(11\/(-22))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -145 = -90*u - 2569 - 3066 for u.\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 382425.\nAnswer: 3, 5, 5099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 2\/7 - (-170 - 13098\/(-77)).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -19 - ((-4 - (-9 - -6)) + -11)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 34\/85*10\/6*(-69)\/(-874).\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3*(20\/(-12))\/5.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 1 - (-3)\/2*104\/6. Suppose 0 = -2*q + 4*n, 2*q + 2*q = 4*n + 4. Suppose -q*h = 5*h - 21. What is the highest common divisor of l and h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*f = 4*w - 7*w + 144, 0 = f - w - 57. Calculate the greatest common divisor of f and 21819.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5 minus -2777844.548?\nAnswer: 2777849.548","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*t + 4*q - 5*q + 17 = 0, -2*q = -10. Suppose v - 2*m - 10 = 0, -t + 0 = -2*v - 3*m. What is the units digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -119625, -478466, -1076525, -1913802, -2990297, -4306010, -5860941?\n\"Answer: -119609*i**2 - 14*i - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f(u) = 17*u**2 + 5*u + 1. Let x be f(-1). Suppose -74 = -x*k + 277. Calculate the remainder when 347 is divided by k.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 686, 0.5, 4?\nAnswer: 686","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 8204184.\nAnswer: 2, 3, 113947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let l(v) = -2*v**2 + 2. What is l(3)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 53\/90 and -55\/36482.\nAnswer: 1641690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 0 - -3. Let s = 6 - u. Let k(b) = -b**3 - b**2 + 4*b - 5. Let z be k(-4). Calculate the highest common factor of s and z.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 744283 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Convert 8.109938 nanograms to milligrams.\nAnswer: 0.000008109938","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 804875 a multiple of 257?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((1*sqrt(450))\/(sqrt(120)\/sqrt(3)))**2.\nAnswer: 45\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -5306*d**5 + 19315*d wrt d.\nAnswer: -106120*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -69, -104, -139, -174, -209?\nAnswer: -244","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 9  (b) -4691386  (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 0.0219 + -3.999. Let v = -3.96 - c. Round v to three decimal places.\nAnswer: 0.017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 24*m**4 + 99*m**3 - 60*m**2 - 441*m - 54.\nAnswer: 3*(m - 2)*(m + 3)**2*(8*m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand (s + 2*s**2 - s)*(22*s - 28*s + 28*s).\nAnswer: 44*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 376 a factor of 2032599976?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 365*d - 670*d + 332*d - 28*d**2 - d**3 + 16*d**2 + 12*d**2.\nAnswer: -d**3 + 27*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let d(t) = -t**3 + 15*t**2 + 2*t - 24. Suppose 0 = -2*n + 3*q + 30, -5*q - 1 = n - 16. Calculate the remainder when 22 is divided by d(n).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (18\/(-27))\/(1*(-2)\/36). Factor -f - 56*v**2 + 30 + 50*v + 61*v**2 + 27.\nAnswer: 5*(v + 1)*(v + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 179772259?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.0601*2.\nAnswer: 0.1202","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 47.67413 litres in millilitres?\nAnswer: 47674.13","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand 5*c - 3*c - 3*c + (3*c - 6*c + c)*(3 - 6 + 4) + 3 - c - 3 + 4357 - 4357 - 737*c + 6*c - 3*c - 2*c.\nAnswer: -740*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -21 + 15. Let s(c) = -2236*c + 602. Let w be s(7). Is -1*(-1)\/z - w\/84 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 75 - 82. Let y be n\/((-105)\/20)*219\/12. Which is smaller: 25 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 346 - 1024. Let r = l - -685. Calculate the highest common factor of 182 and r.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(f) be the third derivative of f**6\/30 - f**5\/15 - 5*f**2. What is the third derivative of l(p) wrt p?\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 67 - (-16956)\/(-162) - 6\/(-9).\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*h = k - 27, -4*k = -4*h + h + 35. Suppose 0 = 3*i - h - 11. What is the remainder when 15 is divided by i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*d**3 - 644*d**2 - 73616*d + 74256.\nAnswer: 4*(d - 238)*(d - 1)*(d + 78)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Work out 62 * 23.\nAnswer: 1426","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -0.04 + 1.04. Let z = 34 - 36. Which is the closest to -1?  (a) -25  (b) z  (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((d\/d**1)**20\/(d**(2\/3)\/(d\/(d\/(d**7\/d))*d)))**(-13) assuming d is positive.\nAnswer: d**(-247\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000070076606 rounded to six decimal places?\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let j(c) = c**3 + 9*c**2 - 9*c + 11. Calculate j(-10).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 46 - 31. Suppose 5*b - 2*b - u + 17 = 0, 5*b = 5*u - m. Let v = -4 - b. List the prime factors of v.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(r) = -134*r. Let a(m) = m + 45911. Give g(a(q)).\nAnswer: -134*q - 6152074","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3 divided by 6865.\nAnswer: -3\/6865","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from tcjcfhw. Give prob of picking 1 f and 1 w.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 7 + -19. Let s be (-3)\/z - 95\/(-20). Solve -4 = 4*y - 4*k, 2*y - 3 - 7 = s*k for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -3*j**5 - 212*j**3 - 2*j**2 + 621*j + 2 wrt j.\nAnswer: -180*j**2 - 1272","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 29 + -18. Let c(t) = -t**3 + 20*t**2 - 86*t + 32. What is the least common multiple of c(14) and n?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 3.3 + -21.3. Which is the second smallest value?  (a) n  (b) -1\/3  (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from tvrtrvvrvv. Give prob of sequence rvv.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let a(q) = 9*q - 14. Let s be a(2). Solve -4*o = -s*k - 12, 5*o + 2*k - 9 = 6 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -1 smaller than 1\/7066?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 2 + -2.4. Which is the closest to -1?  (a) 2\/7  (b) -3  (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 289 minutes after 8:50 AM?\nAnswer: 1:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 318887 is divided by 733?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 4875 - 4927. Which is the second smallest value?  (a) -2\/9  (b) -3  (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -0.3, -2.8, -33, 1, 10?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let k(b) be the first derivative of b**5\/30 - 7*b**4\/60 + 2*b**3\/15 - b**2\/2 + 3. Let c(s) be the second derivative of k(s). Factor c(r).\nAnswer: 2*(r - 1)*(5*r - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when -2 - (306\/(-3) - -2) is divided by 33?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-2)\/(-9) - 4864\/(-144). Let y be (16 + -14)*v\/4. Let p be (-10)\/6*-54*y. Round p to the nearest 100.\nAnswer: 1500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(g) = -24*g**2 + 6*g - 6. Let f(v) = v**2 - v + 1. Give a(p) + 8*f(p).\nAnswer: -16*p**2 - 2*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 114 and 16145516?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 14 minutes before 2:52 AM?\nAnswer: 2:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(77) - -3*sqrt(77)) + sqrt(77))*-2 - 2*sqrt(77)*-4)\/((sqrt(77) + (sqrt(77) - sqrt(77)*2 - sqrt(77))*-6)\/(-2*sqrt(252))).\nAnswer: 24*sqrt(7)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let l(s) be the third derivative of -s**8\/28 + s**4\/8 - 201*s**3\/2 - 46*s**2 + s. What is the second derivative of l(i) wrt i?\nAnswer: -240*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -2, 1, -1\/9, -5\/3 in increasing order.\nAnswer: -2, -5\/3, -1\/9, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 31 and 124.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Convert -71771 (base 9) to base 16.\nAnswer: -b8b7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v(j) = j. Let m(x) = -x**3 - 15*x**2 - 3*x + 1. Determine 2*m(c) + 4*v(c).\nAnswer: -2*c**3 - 30*c**2 - 2*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i*i\/i**(-8))**(1\/5) assuming i is positive.\nAnswer: i**2","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -3\/6299 - -585831\/50392. Let p = -20 - -17. What is the common denominator of w and (p\/24)\/((-6)\/(-63))?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 76, 128, 180, 232, 284?\nAnswer: 336","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*w = q + q - 5411, 3*w = -4*q + 10829. Suppose -7*v + 11*v - q = 0. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -v + n = 8, 5*n = 4*v + 8*n + 11 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -4907318638381.000002811 + 4907318631912. Let q = -6469 - t. Round q to 6 dps.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(2156)*1)\/(sqrt(16) - sqrt(16)*-2).\nAnswer: 7*sqrt(11)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let w(l) = l**2 + l + 3. Let n be w(-2). Solve -4*z + 20 = 3*y, n*z - 6*y + 2*y = -6 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -324 - -333 - (15 + 1)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -3?  (a) 2\/3  (b) 0.3  (c) 329\/5  (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is (40*(-62)\/(-342240))\/(1\/6)?\nAnswer: 1\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*m - 3*z = 10, -2*m - 5*z - 17 = m. Let p be (m - -1) + 8 + -10. Suppose p = -4*u - 5*o + 130, 4*u + 3*o - 122 = 2*o. What are the prime factors of u?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -130862, 0.4, -2\/47, -5 in descending order.\nAnswer: 0.4, -2\/47, -5, -130862","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let p(l) = -2*l**2 - 5*l + 3. Let u be p(-3). Solve u*m + 4*b = -5*m + 35, 5*m = -b + 20 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -3.98 - -0.18. Let l = w - 0.2. Let i = -2 - l. Which is smaller: -1 or i?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 18\/48 - (3 - (-1267)\/(-56)). Solve -r = 2*t - 16 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -10005075*z**3 - 5695481*z**2 wrt z.\nAnswer: -60030450","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4*((((-1*sqrt(68) - sqrt(68)) + sqrt(68) + sqrt(68))*1 + 6*(-1 + sqrt(68)))*5)**2.\nAnswer: -248400 + 14400*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 18 - 16. Suppose 2 = -3*g + l*g. What is the units digit of (g - -2 - 1)*-47?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-4 - 5*y + 6 - 5)*(-3 - 2 + 3) as h*y + d and give h.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let q(i) be the first derivative of 2*i**3\/3 - 2*i**2 - i + 4. Let f = 318 + -315. What is q(f)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -2.2 + 0.2. Let g = 1.04 + -0.04. What is the closest to q in g, 0.5, 5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 309 minutes before 7:03 PM?\nAnswer: 1:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let k(j) = 2*j**2 + 243*j + 1059. Give k(-117).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 5747611 - 2?\nAnswer: 5747609","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) -911  (b) 1  (c) -34\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let b(v) = v - 3*v - 40*v**2 + 43*v**2. Let w be b(-1). Suppose -4*d + 195 = w*y, 3*y = -3*d - d + 205. What is the units digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 13, -3, 2, -58, 0, 1 in decreasing order.\nAnswer: 13, 2, 1, 0, -3, -58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 57927, 115838, 173743, 231642, 289535, 347422, 405303?\nAnswer: 463178","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q(p) = -p**2 - 6*p + 2. Let m be q(-6). Suppose m*w = -w. Suppose d - 1 - 5 = w. Solve 0 = 3*t + d + 3 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(p) = p**2 - 10*p + 8. Let u be x(6). Find the common denominator of (-696)\/u + (-6)\/2 and (-442)\/40 + 2\/(-10).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(a) be the first derivative of -23 - 25\/3*a**3 + 0*a**2 - 4*a. What is the first derivative of w(c) wrt c?\nAnswer: -50*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -0.01479764132 from 0.12.\nAnswer: 0.13479764132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let k(x) = 2*x. Let u(p) = -p - 1. Let d(q) = -k(q) - u(q). Let c be d(-4). Suppose -4*b = -3*m + 5*m - 14, -c*b = 2*m - 18. What are the prime factors of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -1214367 and 28.\nAnswer: -34002276","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (345\/25 + -5)*5. Let p be 184\/y - (-8)\/(-44). Solve -9*d + p = -7*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 284077 and 488.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 74, 148, 230, 326, 442?\n\"Answer: t**3 - 2*t**2 + 73*t + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11 = 3*v - 4. Let u = 86 - 81. Suppose h + u*k = 73 + 37, 550 = 5*h - v*k. Does 33 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -200 divided by -40?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let p(f) = -2*f**2. Let r(b) = b - 2. Let i be r(4). Let l(d) = -3*d**i + 5*d**2 - 4*d**2. Give p(l(h)).\nAnswer: -8*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -22, -50, -94, -160, -254?\n\"Answer: -a**3 - 2*a**2 - 15*a - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Product of -2 and -6259700.\nAnswer: 12519400","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let a(x) = 82*x - 119. Calculate a(2).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((s**2*s)\/s)\/(s\/(s*s**(-2)))*s**0*s**(-2\/7)*s assuming s is positive.\nAnswer: s**(5\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let x(f) = f**2 - 4. Let t be 5*(1 + 14\/(-10)). Let h(g) = 7*g**2 - 5*g - 5. Let j(c) = -3*c**2 + 2*c + 3. Let q(m) = t*h(m) - 5*j(m). What is 4*q(a) - 5*x(a)?\nAnswer: -a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*r = 3*w - 0 - 6, 3*w - 14 = -r. Let n(a) = -a - 3. Let k be n(-6). Suppose 0 = k*u - 0*u - 12. Solve -w*c = 4*j, -j + 10 = -u*c - 3*j for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1361111 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let i(l) = -5*l**2. Let o(v) = 8*v. Let b(q) = -q. Suppose -4*h - 4*s + 20 = 0, -3*h + 5*s = -0*s - 23. Let f(r) = h*b(r) + 3*o(r). Determine f(i(p)).\nAnswer: -90*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let i(u) be the second derivative of -u**8\/6720 + u**6\/180 + u**5\/40 - u**4\/12 - u. Let x(w) be the third derivative of i(w). What is the tens digit of x(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -8*d + 30 = 7*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 312 a factor of 297202850?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let n(m) = -m**3 + 18*m**2 + m - 11. What are the prime factors of n(9)?\nAnswer: 727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -9183*b + 18350*b - 9189*b.\nAnswer: -22*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-68990)\/25 - 0 - -4. Let a = x - -2768. What is the common denominator of 1\/3 - 70\/(-6) and a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 164038?\nAnswer: 2, 7, 11717","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: ((-6)\/(-20))\/((-37422)\/(-9240))\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 869 or -188774?\nAnswer: 869","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let k(b) = -28*b - 342. Determine k(-12).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 50175140 is divided by 19.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 3513395661?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-190)\/(-16))\/(1600\/640).\nAnswer: 19\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -68*j = -70*j - 40. What are the prime factors of (-5164)\/j + (-2)\/10?\nAnswer: 2, 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in three eighths of a decade?\nAnswer: 45","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 111587479?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 397*l + 778 + 326 = -1675 for l.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 261 in -1, -2\/3, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -8*q + 120 = 16*q, -5*l = 8*q + 8*q - 65 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -300 = 35*n - 15*n for n.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -9269554, -9269566, -9269566, -9269548, -9269506, -9269434?\nAnswer: -9269326","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-50)\/(-12)*(7 + -1). Solve -q*w - 11 = -14*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(n) = n**2 - n - 5. Suppose 4*z - 15 = 1. Let w be p(z). Suppose -2*q - 5*a = -59, -2*a + w + 3 = 0. Does 17 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -2*p**2 + 1563714*p - 3127420 = 0. What is p?\nAnswer: 2, 781855","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -69\/48128 and 89\/217852.\nAnswer: 2621195264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -17 or -0.11?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -2.0008 rounded to 1 dp?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.5 times 41575?\nAnswer: 20787.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let t(m) = 5*m + 2. Let q(o) = 4*o**2 + 1. Let w be q(-1). Let f(x) = 10*x + 5. What is w*t(a) - 2*f(a)?\nAnswer: 5*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:48 PM and 10:08 PM?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 46*v - 21*v - 289975 = 0. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2?  (a) -557  (b) 2  (c) 5  (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 111503, 111499, 111495, 111491, 111487?\n\"Answer: -4*t + 111507","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -19121 - -19130. Put -0.09, -2, -0.3, p, -0.8 in ascending order.\nAnswer: -2, -0.8, -0.3, -0.09, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 5 + -2. Let j(g) = -g + 5. Let z be j(5). Solve a - c*p = -1 - 3, z = a - 2*p + 3 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 3571, 3572, 3573?\n\"Answer: k + 3570","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: (153\/(-153))\/(1*(-4)\/48)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -193, -189, -181, -169?\nAnswer: -153","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 5 + 559*j**3 + 9*j - 551*j**3 - 1 + 7*j**2 - 3 to p*j**3 + o*j**2 + t*j + y and give p.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Convert 746 (base 14) to base 4.\nAnswer: 112122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 90775 is divided by 45378?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 17088560693 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*a = -354*u + 358*u + 76, 5*u - 3*a + 95 = 0 for u.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 12\/10*-15 - -14?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 1177 and 214.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 23188 a multiple of 68?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let d(z) = 43*z**2 - 2*z. Let n(b) = 6*b**2 + 10*b**2 - 44*b**2 + 21*b**2. What is d(n(g))?\nAnswer: 2107*g**4 + 14*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, -228975, 6 in decreasing order.\nAnswer: 6, -4, -228975","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-7 - ((-37 - -20) + 32)) + 17 + 95 + -2.\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 37 = 26*n + 167 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let d(o) = o**2 - 4*o - 7. Suppose 0 = -7*g + 10*g - 60. Suppose 0 = -9*y + 7*y + g. What is the tens digit of d(y)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(r) = -5*r - 23. Suppose 10*o = -0*o - 2*o - 144. Give b(o).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 346*d - 1102 = -108*d - 194 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let j(q) be the first derivative of q**6\/12 + 7*q**5\/10 + 15*q**4\/8 + 3*q**3\/2 - 12. Find o such that j(o) = 0.\nAnswer: -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -129*k + 2168 = 130*k + 12*k for k.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 552\/(-207)*(2\/(-16) - 1). Put n, 46, 0 in ascending order.\nAnswer: 0, n, 46","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -94.5906 to zero dps.\nAnswer: -95","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-1)\/3 - 44\/(-6). Suppose -4*n = -3*w + a, 7*n = 2*n - 4*w + 30. Let p(k) = k**2 - k - 5. Let q be p(0). Sort q, n, -3.\nAnswer: q, -3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -84*m + 1216*m - 8502 = -285*m for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is (-1477)\/8862*(48 + 0)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 (base 6) in base 10?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f(r) = -r**2 + 4*r + 2. Let h be f(2). Let s(v) = -v**2 + 9*v - 6. Calculate the least common multiple of ((-16)\/h)\/(8\/(-36)) + -4 and s(6).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 9 + -8. Let f(d) = -4*d + 2. Let i(m) = -m + 3*m - m. Calculate v*f(z) + 6*i(z).\nAnswer: 2*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: 70\/2 + (167 - 193) + 13\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-10)\/(-69)*(-4)\/(-10). Let j = -199\/138 - h. Which is the nearest to 2\/5?  (a) -4  (b) -1\/7  (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 13936135 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let c(y) = 42*y**2 + 18*y + 48. Let z be c(-2). Calculate the greatest common divisor of 45 and z.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1005867?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:27 AM and 6:24 AM?\nAnswer: 237","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((2*sqrt(1900)*4 + 0)**2 + (-1*sqrt(1900) - sqrt(1900)) + 1 + (-2*sqrt(1900) + 1)**2)*3.\nAnswer: -180*sqrt(19) + 387606","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 19351*f*r**2 - 3*f*r + 252*f - 27 with respect to r.\nAnswer: 38702*f*r - 3*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -7370*m - 347*m - 7128*m + 1913*m to p*m + u and give p.\nAnswer: -12932","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 5729425 a multiple of 793?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let 0*a - 8\/3*a**2 - 7\/3*a**3 + 1\/3*a**4 + 0 = 0. What is a?\nAnswer: -1, 0, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {q: 6, c: 2, n: 9}. What is prob of sequence nn?\nAnswer: 9\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 6 a factor of 14\/(-3)*27\/(-9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 8\/(-20)*-5*(-7)\/(-14)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*m - 3*m + 4*m)*(15 - 9 - 121*m - 8)*(3*m - m + 0*m).\nAnswer: -242*m**3 - 4*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let h(y) = y**3 + 8*y**2 - 13*y - 16. What is the smallest common multiple of h(-9) and 2?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(c) = 2*c**2 + 3*c. Let t(d) = d**2 + 2*d. Let w(p) = -2*b(p) + 3*t(p). Let h(r) = 4*r. Let y(i) = -3*i. Let u(g) = 5*h(g) + 7*y(g). What is w(u(q))?\nAnswer: -q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-2)\/(-7) - 26\/(-7). Suppose -2*x = -o - 3, n*o - 1 + 13 = x. Which is the closest to 1\/4?  (a) 2  (b) x  (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -18477145*t**6 + 77*t**2 - 23*t + 553 wrt t.\nAnswer: -2217257400*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 175328?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 5.6 - 6. Let f = -1 - t. Let r = 2.8 - f. What is r rounded to 0 decimal places?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 3445, -2\/5, 3\/7?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((l**(-21)\/l**1)**(-3\/4))**(-7\/2) assuming l is positive.\nAnswer: l**(-231\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 298 + 16 + (-8 - -7). Solve -7*u - m + 257 = 0 for u.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from mcxcmmheecchxhec. Give prob of picking 1 x and 2 e.\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 138405 to the power of 1\/2, to the nearest integer?\nAnswer: 372","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2602*-0.5.\nAnswer: -1301","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let q(u) be the first derivative of -9*u**4\/4 - 2*u**3\/3 - u**2\/2 + 3. Is q(-1) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*c**3 - 2 + 4 - 2*c + 3*c**3)*(-4*c**2 - 6*c + 6*c).\nAnswer: -4*c**5 + 8*c**3 - 8*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 93019 and 6513.\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Sort 6\/1267, -4\/3, -9 in increasing order.\nAnswer: -9, -4\/3, 6\/1267","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is (-34)\/(-6) + ((-89100)\/9720)\/(10\/16)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 2504*h**4 + 2*h**2 - 32640?\nAnswer: 10016*h**3 + 4*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -364634 and -0.2.\nAnswer: 72926.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is (84\/294)\/(-3 - 37\/(-7))?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2380 in -5\/3, 5, 4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 247989, 247990, 247991, 247992?\nAnswer: 247993","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 100\/(-72) - (-2 - (-19)\/9). Which is the closest to 1?  (a) -0.07  (b) w  (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 1364570000 to the nearest one million.\nAnswer: 1365000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 23692616 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Express 979*j + 319*j - 344*j in the form b + y*j and give y.\nAnswer: 954","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 68\/68703 and -139\/6.\nAnswer: 137406","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 198.7 + -199. What is the smallest value in 4, p, 0.53?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -15 divided by 25.\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose l - 4 = -0. Suppose 0*s + l*s = 0. Suppose 1 + s = m. Put m, 0.4, 1\/5 in increasing order.\nAnswer: 1\/5, 0.4, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(z) = -2*z**3 + 5*z**2 - 7*z + 5. Let g be j(2). Is (-1822)\/(-22) - (-12)\/(-330)*g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 1958 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 245 is divided by 84?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -12, 10\/9, -0.01, 1\/3?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 4*x**4 - 238*x**3 + 3*x**2 + 63*x + 13 wrt x?\nAnswer: 48*x**2 - 1428*x + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:49 AM and 10:03 AM?\nAnswer: 254","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0*w + 22*w**3 - 10*w**3 + 0*w.\nAnswer: 12*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of (1412\/(-2))\/((-2)\/31).\nAnswer: 31, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (10 + -2)*(-9)\/36?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -32822\/3 - -10941. Solve -2\/3*j**4 - x*j**5 + 0*j + 0*j**2 - 1\/3*j**3 + 0 = 0 for j.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*d + 3*f - 48, 0*d - 3*f = d - 20. Let b = -128\/9 + d. Sort -5, -1, b, 4 in decreasing order.\nAnswer: 4, b, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 25765 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let h(w) = -w + 29. Let n be h(8). Let k be 189 - (n\/(-6) - -3)*2. Suppose 0*i + k = 2*i. What is the tens digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 9717?\nAnswer: 3, 41, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let f(b) = -5*b**2. Let j(r) be the first derivative of -r**2 + 33. Calculate j(f(d)).\nAnswer: 10*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 38602 a multiple of 151?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 2853647 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: (-6 - -4 - (-3 + 13))\/(0 + -1)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 235 + -1?\nAnswer: 234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 15234 + -15999.9. Let a = 765.95521 + i. Let n = a - 0.056. Round n to 4 dps.\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine j so that j**2 + 4408*j - 2459409 = 0.\nAnswer: -4909, 501","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: 0.27+-6854777032\nAnswer: -6854777031.73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((6*(sqrt(77) - 3*sqrt(77) - sqrt(77)) - sqrt(77)) + sqrt(77))\/sqrt(11).\nAnswer: -18*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let r(z) = 2*z**2 - 8*z - 31. Determine r(-3).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5*(2 + sqrt(405) - sqrt(405)) + 4*(sqrt(405) + sqrt(405) + 1))**2 + -5*(sqrt(5) - ((sqrt(5)*-4)**2 + 4 + sqrt(5))) + 4.\nAnswer: 2016*sqrt(5) + 26540","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 30923107141 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Express -1 + q**2 + 1 + (-2*q**2 - 3*q + 3*q)*(5 + 0 - 3) + 8*q**2 - 12*q + 0*q + q**2 in the form n*q**2 + r + o*q and give o.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -9723 + 9723 + 116*c**3 - 119*c**3.\nAnswer: -3*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*v**3\/13 - 82*v**2\/13 - 158*v\/13 - 6.\nAnswer: -2*(v + 1)**2*(v + 39)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 844.8783 milligrams in grams?\nAnswer: 0.8448783","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:42 PM and 11:09 PM?\nAnswer: 27","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 803*x - 72 = 812*x for x.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 4905955 to the power of 1\/3, to the nearest integer?\nAnswer: 170","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 41\/2 of a microgram in nanograms?\nAnswer: 20500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort 489710, 1, -16.\nAnswer: -16, 1, 489710","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 108\/301 - -3\/43. What is the third biggest value in 9\/4, -5, f, 4\/9?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence kih when three letters picked without replacement from {k: 3, i: 1, g: 1, q: 2, h: 4}.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -6 - -16. What are the prime factors of (2 - (-12)\/8)*c?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -46458 + -1?\nAnswer: -46459","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 24\/(-3)*(-5 - -3). Suppose 4*a - 3*j = -2*j - i, 4*a - 5*j + 32 = 0. Suppose 10 = -4*w - 0*w + r, 4*w + 4*r = -20. Is a at least as big as w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*m - n + 6*n + 33 = 0, 12 = -2*m - 4*n for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.33697102 rounded to one decimal place?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 88, 91, 104, 133, 184, 263, 376?\nAnswer: 529","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -22 and -4?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5*((0 + -1 + sqrt(304) + -1 + sqrt(304))**2 + ((-3*1*sqrt(76))\/(sqrt(16)*5))**2).\nAnswer: -160*sqrt(19) + 122171\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let v(f) = 13*f + 264. Let q be v(-19). Solve 19*s + 112 = q for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -f**2 + 0*f**2 + 0*f**2 + (-36*f + 0*f + f)*((f + f - 4*f)*(-5 + 2 + 1) + 0 - 2*f + 0 - f + 2*f + f).\nAnswer: -141*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Put 4, 5, -26 in descending order.\nAnswer: 5, 4, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2\/11 in 11\/106, -2, 5, -3\/8?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (234\/45)\/(-3*(-6)\/(-45)).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -32131 + -2?\nAnswer: -32133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -127 - -212. Does 13 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(y) = -y**2 - 3*y + 9. Let k be a(-4). What are the prime factors of 2\/k - (-618)\/30?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (39*g - 28*g - 14*g + 100)*(2 - 6 + 1) as c*g + s and give s.\nAnswer: -300","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -39091 + 433*u**2 - u**3 + 39091.\nAnswer: -u**3 + 433*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 142b + 9?\nAnswer: 1434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 252 and 1752?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let z(n) = -n - 1. Let a(c) = 5*c**2 - 4*c + 7. Give -a(p) + 6*z(p).\nAnswer: -5*p**2 - 2*p - 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is seventy-five halves of a kilometer in meters?\nAnswer: 37500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w(v) = v**3 + 12*v**2 + 21*v + 12. Let h be w(-10). Solve b = 2*b - h*d + 6, -5*b - 10 = -5*d for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(i) be the second derivative of -i**5\/20 - i**4\/3 + 7*i**3\/6 + 3*i**2\/2 - i. Let t be d(-5). Let o be 2\/6 - 16\/3. Which is bigger: t or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(y) = y**2 + y - 2. Let a be h(-2). Suppose 3*t + 5*k - 51 = -t, 4*k - 12 = a. Calculate the remainder when 17 is divided by t.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-24)\/(-54)*3\/2.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 44  (b) 3\/2098  (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 8*(3\/(-12) - -1). Let j(t) = t + 7*t**2 - 7 + 7 - r*t. Let f(z) = -3*z**2 + 2*z. Calculate 5*f(y) + 2*j(y).\nAnswer: -y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 h when two letters picked without replacement from yoyhgh.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((2*sqrt(2025))\/((sqrt(5) - sqrt(45))*2))**2.\nAnswer: 405\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let d(y) be the second derivative of y**5\/210 + y**4\/84 + 3*y**2\/2 + 3*y. Let u(i) be the first derivative of d(i). Determine p so that u(p) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -0.2 + -0.3. Let w = 18 - 17.6. Let i(l) = -l**3 - l**2. Let r be i(0). Which is the nearest to -1\/3?  (a) d  (b) w  (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 7132854151 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -0.6 + 0.3. Let w = -0.2 + v. Let m = 0.1 + -5.1. Sort m, w, -2\/9 in decreasing order.\nAnswer: -2\/9, w, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -4*g**4 + g**3 - 75*g**2 + 748?\nAnswer: -16*g**3 + 3*g**2 - 150*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 24415.59 + -24304. What is x rounded to the nearest 10?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 1150 and 1425?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 24 - 15. What is the smallest common multiple of s and 2?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 1548 and 576.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -169 and -0.3?\nAnswer: 50.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let r(w) = -131*w**3 + 3*w**2 + 37*w - 2. Is r(-7) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -1314 - -3189. Let f be (-210)\/(-28)*12\/9. Suppose -f*l - 185 = -b. What is the tens digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 40 is divided by 15?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) 1  (b) -1  (c) -312  (d) -7  (e) -0.5  (f) 0  (g) 27\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -7\/3933 and 145\/230895942.\nAnswer: 692687826","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (10 + -2)*3\/6*-202. Let v = u - -436. Let k = -241 - v. What is the tens digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8 = 5*l + 7. Let r = -126.3 + 126. Which is the nearest to l?  (a) r  (b) 1  (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-1 - -6)\/(1 + 4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1037 divided by -17.\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in thirty-four fifths of a gram?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {e: 1, i: 2, p: 2, m: 4}. What is prob of sequence im?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let n(v) = -v**3 - 4*v**2 + 5*v - 5. Suppose -2*w + 4 = 2*w - 2*i, -3*w - 3*i + 3 = 0. Let a(o) = -w - o - o + o. Let r be a(4). Calculate n(r).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -706*b**2 + 1411*b**2 - 16 - 704*b**2 - 7*b**3 to the form h + w*b**3 + g*b**2 + i*b and give h.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: 10 divided by 4\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 65882387 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-27593 - 1153*t**2 + 27593)*(3*t**3 - 3*t**3 + 3*t**3).\nAnswer: -3459*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 0.01 - 0.03. Let s = -24 - -14. Let d = -7 - s. Sort 5, d, c in decreasing order.\nAnswer: 5, d, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(g) = -7*g - 15. Let z be s(-5). Calculate the greatest common divisor of 8 and z.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: -2 (base 8) to base 5\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 4554866 to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:30 PM and 2:15 AM?\nAnswer: 345","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let g(u) = -2*u. Let n(y) = -2007*y. Let b(z) = -22150*z. Let p(o) = -4*b(o) + 45*n(o). Give p(g(m)).\nAnswer: 3430*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 3878 and 21?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence jjl when three letters picked without replacement from {j: 7, l: 9}.\nAnswer: 9\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*u + u - 1644 = 0. Is 2\/(-13) + u\/13 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {g: 1, s: 2, j: 1, n: 1}. What is prob of picking 1 j and 1 n?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let o(i) = -3*i**3 - 2*i**2 + 2*i + 4. Let w be o(-1). Suppose -3*b - 2*q + 110 = 0, -w = -4*q - 11. Is b a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -24512.3 and -0.3.\nAnswer: 7353.69","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 5857?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1\/5?  (a) 4  (b) -3  (c) -3\/61\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let s(h) = 2519*h**2 + 4*h + 5. Let o be s(5). Let i be (6\/(-4))\/((-1)\/2). Suppose i*b - 4*b = o. Round b to the nearest ten thousand.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2725 is divided by 177.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Round 11252938933 to the nearest 1000000.\nAnswer: 11253000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 271.22 + -243.52. Sort u, -1\/3, 1, -4, -1 in ascending order.\nAnswer: -4, -1, -1\/3, 1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 27010 + -27009.55. What is the second smallest value in -35, 1\/4, -1, f?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 2.2 and 709067014167?\nAnswer: 709067014164.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -16 - 45*c**3 - 15*c**2 - 13 + 24.\nAnswer: -45*c**3 - 15*c**2 - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 68 and 425.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((u*u*u*u*u**(1\/20)*u*u)\/u)**(-6\/7)\/(u\/(u*u**1))**13 assuming u is positive.\nAnswer: u**(607\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Product of 17.227 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let h(q) = -8*q**2 - 6*q - 1. Let l(a) = -5*a - 67*a**2 + 18*a**2 - 1 + 42*a**2. Suppose 0 = -2*d - d - 15. Give d*h(m) + 6*l(m).\nAnswer: -2*m**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ly when two letters picked without replacement from {f: 8, y: 4, t: 2, n: 1, l: 4}.\nAnswer: 8\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 0\/((-1)\/((-4)\/8*2)). Let i be 68\/612 + 29\/(-99) + 290\/2079. Which is bigger: a or i?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 20 and 1497140?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Put -71, 36, 2, -2 in descending order.\nAnswer: 36, 2, -2, -71","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let i(c) = -c + 5. Let f be i(6). Let x(m) be the first derivative of -3*m**2\/2 + 3. Calculate x(f).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.0512158 times 1\nAnswer: 0.0512158","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 1129, 1828, 2085, 1900?\n\"Answer: -221*k**2 + 1362*k - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 99\/150272 and 19\/1540288.\nAnswer: 6161152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 1206 and 1072.\nAnswer: 9648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 12\/(((-2)\/(-8))\/(2\/8)). Let z(k) = 18*k**3 - 2*k**2 + 1. Let x be z(2). Let c = -41 + x. What is the greatest common factor of c and m?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (294\/(-70) + 5)\/(4 + 54\/(-15)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -303.8 and 2871?\nAnswer: 3174.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: (28\/42)\/((-2)\/(-15))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -11, 0, -1, 3 in descending order.\nAnswer: 3, 0, -1, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 3935.66 - 3970. Let s = -2.76 + y. Let o = s + 31. Round o to 0 dps.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -16 - -22. Suppose 3*p - 5*l = 0, p - 3*l = c*p. Suppose 0 = -p*j - 3*j + 21. List the prime factors of j.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 0.8 - 6.2. Let s = 0.4 + u. Let z = -9 - -8.7. Which is the closest to -0.1?  (a) -1\/2  (b) z  (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be ((-9)\/(-463))\/((-99)\/(-165)). Which is smaller: i or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 324862?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 1567 + -1469. What is the greatest common divisor of y and 3479?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -10837, -2, -1 in ascending order.\nAnswer: -10837, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Does 6 divide 426782863?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 14*g + 5 - 453. Calculate the remainder when g is divided by (-450)\/(-40) + 3\/(-12).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-191)\/(-5) - 6\/30. Let i = -34 + x. Solve -4*c + 4 = -i*d, 4*c = 3*d - d + 8 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -40 + 37. Let x be ((-3)\/8)\/((-72)\/112). Let n = x - 1\/12. Which is the third smallest value?  (a) -5  (b) k  (c) n  (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -563, -557, -551, -545, -539, -533?\nAnswer: -527","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -3954, -7901, -11846, -15789?\nAnswer: -19730","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 1 - 0. Let f(n) = 4*n**2 + o + 2*n - n + 0. Let p = 0 + -1. Give f(p).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0259606453 rounded to five decimal places?\nAnswer: 0.02596","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let m(n) = -n**2 - 7*n + 6. Let o(h) = -h - 7. Let k be o(0). Determine m(k).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are 1532\/11 and 138 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -71.4 - -66. Let q = -5 - z. What is q rounded to 1 dp?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o**(-17\/2)\/(o\/(o\/(o\/(o\/(o**3\/o))))))\/((o*o**17)\/o*o*o*o**(5\/3)*o) assuming o is positive.\nAnswer: o**(-193\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((i\/i**(-1\/12))\/(i**(2\/19)\/i))\/(i**(3\/8))**(-5) assuming i is positive.\nAnswer: i**(1757\/456)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let h(q) = -5*q - 2. Let i(w) = w**3 - 3*w**2 - 6*w + 4. Let j be 4*(-1)\/(-4) - -4. Let v be i(j). Suppose 3*a = -5*r + v, -2*a - r = -3*a. Calculate h(a).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:05 PM and 6:03 PM?\nAnswer: 298","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -13 - -32. Let p = 19 - s. Suppose l + 0*l + 2*z - 42 = p, -126 = -3*l + 2*z. What is the remainder when l is divided by 22?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -532 + 590 + (-85 - 3).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 80803543231 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5 + 2 - 5)*(2 - 2*w**2 - 2)*(-362*w**2 - 251*w**3 + 362*w**2).\nAnswer: 1004*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 12690979 and -0.96?\nAnswer: 12690979.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 97 = g + g + 5*l, 3*g - 128 = -4*l. Calculate the greatest common factor of g and 90.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, 2, -16, 304, -11.\nAnswer: -16, -11, 2, 3, 304","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 11207\/304 - 590\/19. Find the common denominator of n and (-1281)\/360 - (-3)\/5.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 115*v**2 + 5 + v - 3*v**3 - 91*v**2 - 3 as k*v + o*v**2 + u*v**3 + x and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -106 + 165. Let j = 58.54 - x. Let g = 0.06 + j. What is the biggest value in 2, g, -5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 6535b6 + 0?\nAnswer: 6535b6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Does 30 divide 29828115?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 12*a + 24 = -0*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 180466168.\nAnswer: 2, 37, 609683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is -14.4996 rounded to the nearest integer?\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -4  (b) 28  (c) -5  (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 145, 275, 623, 1297, 2405, 4055?\n\"Answer: 18*q**3 + q**2 + q + 125","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(133) + sqrt(133)*-1)*-4)\/(sqrt(28)\/sqrt(4)*-5).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Convert -2330 (base 4) to base 14.\nAnswer: -d6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 270754?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -3162, -25371, -85666, -203091, -396690?\n\"Answer: -3174*f**3 + f**2 + 6*f + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"}
{"text":"Question: Expand (1 + 2 - 5)*(-2*r**3 + 2*r**3 + 2*r**3) - 3*r**2 + 3*r**2 - 2*r**3 - 5*r**3 + 6*r**3 + 0*r**3 + 7*r.\nAnswer: -5*r**3 + 7*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2026 is divided by 504.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 5175227?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -10 + 35. What is the smallest common multiple of 18 and 5*(90\/p)\/1?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-464)\/(-336) + 6\/21. Let n(m) be the first derivative of -2 - a*m**3 + 0*m**2 - 6*m. What is the first derivative of n(d) wrt d?\nAnswer: -10*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 8670 and 390?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let a(c) = 7*c - 15. Suppose 8*g + 15 = 13*g. Let p be a(g). Suppose 0 = p*t - t - 155. What is the units digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 8\/((-5)\/(-3)*8\/10).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n(h) = -219649*h**2 - 29*h + 190. Let o be n(10). What is o rounded to the nearest one million?\nAnswer: -22000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(j) = 13*j - 2. Let y be b(-7). What is the common denominator of -11\/2 and (1\/6)\/((-1)\/y)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2 in -0.4, 14\/57, 0.47?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let v(o) = -75*o - 2. Let w = 35 + -36. Let q be v(w). Suppose -495 = 68*f - q*f. Calculate the greatest common divisor of 9 and f.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:33 PM and 2:16 AM?\nAnswer: 223","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let w(x) = -x**2 + 12*x - 1. Give w(7).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let p(y) = 101*y**2 - y + 1. Let a be p(-2). Suppose -5*v - 5 = -4*h, -5*h + h + v = -17. Suppose -5*u = h*k - u - 411, -3*u = 5*k - a. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:39 AM and 9:06 AM?\nAnswer: 327","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1\/3 in 187, -4, 35, 0.4, -3\/8?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {z: 7, i: 1}. What is prob of sequence iz?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 29 - (276 + -262 - (4 - 1))?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(125) - (1*sqrt(125) + -4 + sqrt(125)) - (sqrt(125) + 1)*-5)*2 + 5)**2.\nAnswer: 1840*sqrt(5) + 8529","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 2 + 2. Let y(h) be the second derivative of 0*h**2 - 2*h + 1\/6*h**3 + 1\/12*h**4 + 0. Let z(a) = -3*a**2 - 2*a - 2. What is v*y(i) + z(i)?\nAnswer: i**2 + 2*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -24774  (b) -1\/7  (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 7\/167 and 17\/2332990?\nAnswer: 2332990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: (0 - -1) + 2 + -4\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-2464)\/1078)\/((-20)\/(-14)).\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 5*h**3*q**4 - 840*h**3*q + 4*q**4 wrt q?\nAnswer: 60*h**3*q**2 + 48*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 10 - 6. Suppose 0 = -j*h - 26 + 114. What is the remainder when h is divided by 12 + (0 + 1 - 1)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 28\/8 + (4 - (270\/12 + -6))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*b = -12, -11*n - 3*b + 149 = -6*n. Let p = 10 + n. Let c(u) = u**3 + 9*u**2 - u - 10. Let m be c(-7). What is the greatest common factor of p and m?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(a) = -a - 3. Suppose 3*s = -b - b + 7, 3*b - 8 = -4*s. Let f be j(b). Let g be (-488002)\/8 - f\/(-4). What is g rounded to the nearest 10000?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.5, -3, 65405, 1 in descending order.\nAnswer: 65405, 1, 0.5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -2.4 + 0.6. Let o = t - -2. Let n = 1 + -3. Which is the second biggest value?  (a) o  (b) n  (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(z) = 2*z**2 - 217*z + 7451. Determine f(91).\nAnswer: 4266","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 8 + -4 + -2 - (-3 - 33)?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*p - 342 = -4*a - p, a + 5*p = 94. Let h be (7\/a)\/(6\/16). What is the second biggest value in 0, -0.3, h?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1*((-6)\/(-21))\/((-2)\/14)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -75 and 5?\nAnswer: -375","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4 + 776.\nAnswer: 780","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 680979 and 8892?\nAnswer: 741","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: ((-2)\/20)\/((-20)\/(-120))\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -11162 = -2*l - 11152 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((m**(2\/7)\/m)\/m)\/m*m*m)**(-1)*m**(-1\/5)*m\/(m\/(m\/m**(-4))))**(-47) assuming m is positive.\nAnswer: m**(-9071\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 7 - 8. Let i = z + 116. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(q) = -4409307*q + 4409307*q + 3728*q**2 - 2. Let h(m) = -2*m**2. Give t(h(y)).\nAnswer: 14912*y**4 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 1769 a factor of 72471709?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let t(r) = -10*r - 3. Let l(h) = 10*h + 2. What is -5*l(y) - 4*t(y)?\nAnswer: -10*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -0.8 + 1. Let u be -5 - (0 + 2 + -2). Let q = -9 - u. Which is the third biggest value?  (a) l  (b) -0.4  (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 31 - 28. Suppose 4*i - 1148 = -k*i. List the prime factors of i\/40*26 - 4\/(-10).\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put together -108521413 and 310900.\nAnswer: -108210513","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3473137670?\nAnswer: 2, 5, 347313767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-6*y + 6*y - 2*y**2)*(48 - 48 + 9*y**2)*(-y - 3*y + 2*y).\nAnswer: 36*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (170\/7 - 2)*7. Solve 3*c + 4*w = 149 - p, 4 = -2*c - 2*w for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 116 is divided by 60?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 40 - 94. Let n = -35 - x. Calculate the highest common divisor of n and 209.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 15851842 to the nearest integer?\nAnswer: 251","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let b(j) = -j**2 + 6*j - 2. Let y = -129 - -109. Let o = -17 - y. Calculate b(o).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(r) = 5*r**3 + 6*r**2 + 2*r. Let p(l) = 4*l**3 + 7*l**2 + l. Let d(c) = 6*p(c) - 7*z(c). Find the second derivative of d(f) wrt f.\nAnswer: -66*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be -7 - ((-9)\/(-9) - 8). Let w(f) be the second derivative of 9*f + 5\/8*f**3 + 5\/48*f**4 + 5\/4*f**2 + d. What is u in w(u) = 0?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {r: 1, l: 1, s: 5, y: 2, m: 3}. What is prob of sequence lm?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 986 + -984. Let z(t) be the second derivative of -17*t + 0*t**g + 0 - 1\/40*t**5 + 0*t**3 + 0*t**4. Determine r so that z(r) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 412*k**3 - 16496*k**2 + 165440*k - 6400.\nAnswer: 4*(k - 20)**2*(103*k - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in 3918.171 grams?\nAnswer: 3918171000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (((-6)\/(-21))\/((-14)\/(-49)))\/(-4).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k(m) = 2*m**3 + 3*m + 3. Let u(c) be the second derivative of 3*c**5\/20 + 5*c**3\/6 + 5*c**2\/2 - 21*c. Give 5*k(v) - 3*u(v).\nAnswer: v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -91775 divided by -5.\nAnswer: 18355","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*r - 8*r + 80 = 0. What are the prime factors of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1 != 1\/173720173?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let r(g) = 54*g**2 - 65*g - 1018. Let z be r(-8). What is the highest common divisor of 1392 and z?\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 120 + -101?\nAnswer: 1c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let s(r) = 10*r**2. Let h(f) = 29*f**2. Let t(q) = -4*h(q) + 11*s(q). Let w(c) = -c. Calculate w(t(i)).\nAnswer: 6*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*y**5 + 44*y**4 - 692*y**3 + 596*y**2 + 688*y - 640 = 0 for y.\nAnswer: -20, -1, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 39, 39, 49, 69, 99, 139, 189?\nAnswer: 249","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f(r) be the first derivative of 33\/10*r**4 + 4\/5*r + 3\/5*r**2 - 76\/15*r**3 + 32. Solve f(l) = 0 for l.\nAnswer: -2\/11, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7*n - 20 = -2*b, -3*n = 69*b - 74*b - 8 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let u(b) = 12*b**2 - 8*b - 3. Let j(a) = 25*a**2 - 15*a - 6. Calculate 6*j(w) - 11*u(w).\nAnswer: 18*w**2 - 2*w - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (4 - 90\/27)*18. Let n(k) = -k**3 + 12*k**2 - k + 13. Determine n(v).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {x: 7, z: 5}. Give prob of sequence zzxx.\nAnswer: 7\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -0.0366 + -0.1634. What is the nearest to f in 0.3, 10, 2\/3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4079 divided by 16218.\nAnswer: -4079\/16218","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 6271358 is divided by 209045?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let d(i) be the second derivative of -39*i**5\/10 - i**3\/3 - i**2\/2 - 16*i. What are the prime factors of d(-1)?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, 3, -3 in decreasing order.\nAnswer: 3, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -719 - -737. Solve 0 = w*h - 3*h + 30 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -71.25576 and -4.\nAnswer: 285.02304","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 725028, 725023, 725018, 725013, 725008, 725003?\nAnswer: 724998","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*n + 4*n - 11 = 0. Let s = n - 7. Solve b = -3*u + u + s, -u = 2*b - 5 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in -2\/81, -2, 5, -1\/2, -5\/11?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let p(g) = 2*g**3 + 63*g**2 - 77*g - 1960. What is p(-32)?\nAnswer: -520","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 46125 rounded to the nearest 1000?\nAnswer: 46000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 3723 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 59512, 0.4, 40?\nAnswer: 59512","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"}
{"text":"Question: Let w be 211\/1 + (5 - 6). Suppose 798 = 7*n + w. Is n a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(y) = 12*y**3 + 10*y + 14. Calculate m(-1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 569*b = 331*b - 797*b + 1035 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -44*z - 54*z + 91*z - 336. Suppose 29 = s + 1. Let f be 2 + 4\/(-14) + z\/s. Solve f = 4*c - 4*p, 5*p - 15 = 3*c - c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -53 - -55.16. Let o = j + -0.16. Does 1 = o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (6*(sqrt(432) + (4 + sqrt(432) + sqrt(432))*5 - sqrt(432) - (sqrt(432)*4 + 5 - sqrt(432)))*1)**2.\nAnswer: 90720*sqrt(3) + 770148","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 4956 + -57. Let n = -158 + h. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ttotkvtokktktotddv. What is prob of sequence tdk?\nAnswer: 7\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let w(q) = -177*q**2 + 42471*q + 2291. Calculate w(240).\nAnswer: 131","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 1, -21, 1035, -4, -3\/5?\nAnswer: 1035","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 100010010 (base 2) in base 7?\nAnswer: 541","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (12\/30*7013)\/(-12). Let m = -718\/3 - l. Find the common denominator of -79\/21 and m.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 54*k - 2*s = 55*k - 5081, -4*s - 5069 = -k. What is the hundreds digit of k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (2\/5 + (-105)\/(-175))\/(-6 + 754\/126)?\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -10.66350878 - -1018?\nAnswer: 1007.33649122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -132 divided by -1537.\nAnswer: 132\/1537","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let b(i) be the first derivative of -4*i**2 - 4*i**2 - 5 + 9*i**2. Let f(h) = 2*h**2. What is b(f(q))?\nAnswer: 4*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-15)\/270)\/(2\/6)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: (1 - -4) + -3 + 4\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 259943 greater than or equal to 259942?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let h be -12*(5\/2)\/5. Let u = 30 + h. Suppose 3*x - u = -0*x. Is x a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(l) be the second derivative of l**5\/12 - 5*l**2\/2 + 4*l. Let h(g) be the first derivative of s(g). Let o(i) = -3*i**2. Calculate h(o(j)).\nAnswer: 45*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {h: 2, q: 2, t: 4, g: 6, m: 4, d: 1}. What is prob of picking 2 q?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2282 is divided by 35.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let f(u) = u - 13. Suppose 0 = -6*j + 24 + 48. Suppose -3*y = -2*s + 12, 4*y + 4 = 4*s - j. Let b(r) = r**2 + 4*r + 9. Let q be b(y). What is f(q)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 17 + -17.1. Let k = -0.39 - 0.61. Which is the nearest to 1?  (a) 0.5  (b) k  (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(a) be the third derivative of a**5\/420 - 47*a**4\/168 - 8*a**3\/7 - 5262*a**2. Solve k(q) = 0.\nAnswer: -1, 48","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -81*w + 9*w = 977 + 247. Which is the nearest to 0.1?  (a) -2  (b) w  (c) -30\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*z - 38 = -2*z. Let b = z - -34. Put b, -3, 4 in decreasing order.\nAnswer: 4, -3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(u) = -16*u. Let g(k) = -60*k + 27*k + 3*k - 8*k. Calculate j(g(d)).\nAnswer: 608*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 11 - 211010?\nAnswer: -210222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -2203.31 - -1993.8. Round g to the nearest 10.\nAnswer: -210","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -160 + 166. Suppose 5*n - 4570 = -5*t, -2*t + m*n = 4*n - 1828. What is the hundreds digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 772 less than -5068595138?\nAnswer: -5068595910","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 219853?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3.35, -0.3, 553\/2, -1\/5, 2 in descending order.\nAnswer: 553\/2, 3.35, 2, -1\/5, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let b(d) be the second derivative of -32*d**3\/3 - 5*d**2\/2 - 4*d. Is b(-10) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -111972173 and 0.1.\nAnswer: -11197217.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*s = 4*y - 36, -4*s - 39 = s - 3*y. Let x be -6*(-2 + (-9)\/s). Is 6 a factor of (4 - 2) + x*2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-39 - -70) + 9 - 72\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z(f) = -367*f**2. Let q(a) = -6*a + 16. Let o(x) = 4*x - 10. Let c(j) = 8*o(j) + 5*q(j). Calculate c(z(w)).\nAnswer: -734*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 888 is divided by 234.\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 27\/76 + -2\/19. Let j(y) = 19*y**2 - 28*y + 37. Let w be j(10). Let s = 1655 - w. Which is the third smallest value?  (a) s  (b) r  (c) 18\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -33 - -5. Let c = -30 - q. Is (c\/6*-15)\/((-2)\/(-538)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 332 by 47430.\nAnswer: 166\/23715","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 j when three letters picked without replacement from jvjvjjjvjjvjjvjj.\nAnswer: 33\/112","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 19 + -60. Let o = g + 460. What is the hundreds digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*y - 20 + 40. Let t = -1 - -3. Suppose t*g - 30 + y = 0. List the prime factors of g.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-6)\/(-21) + 3\/14. Let l = 637 + -586. Let v be l\/85 - 4\/(-10). Which is the third biggest value?  (a) t  (b) v  (c) 0  (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 5586 and 61446.\nAnswer: 61446","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12*d + 27 = -8*d - 5*k, 21 = 2*d - 5*k. Solve 0 = 12*o - 13*o + d for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -a + 13*a - 36 = 0. Suppose 43144 = 2*v - 5*n, -a*v - v = -3*n - 86302. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 170 minutes after 11:24 AM?\nAnswer: 2:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 80424814 is divided by 8329?\nAnswer: 8319","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 27*o - 5442 = 22854. Suppose -x = -w + 306, 5*w - o - 490 = 3*x. List the prime factors of w.\nAnswer: 2, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 27 and 13.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 2.82 - -25.18. Let d = 22 - j. Let o = 2.9 + -3. Which is smaller: o or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -5407 + 5406.99999212. Round r to 5 dps.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*u + u - 2*u - 3*u + 3*u + 2*u + (4*u + 3*u - 5*u)*(-1 + 2 + 0) + 3*u - u + 2*u - u - 2 + 2)*(-2*u + 5*u - 2*u).\nAnswer: 6*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 33\/198328 and -109\/250?\nAnswer: 24791000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1535722962 divided by 255953827.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Put -2, 0, 11, 1 in decreasing order.\nAnswer: 11, 1, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 62768*t - 62768*t + 50*t**2 - 36*t**2.\nAnswer: 14*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 1127 + -496. Is w a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*x**2 + x**2 - x**2)*(-43 - 263 - 200).\nAnswer: 2024*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let q(i) = -8*i - 81. Let d be q(-10). Which is bigger: d or 1\/57?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -28 = -2*p - 4*x, -p = x - 9 - 8. Let o = p - -4. Is o a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.4, -0.305, 5, 4 in decreasing order.\nAnswer: 5, 4, -0.305, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 0 <= 10\/5546029?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand -4 - 2*s**3 + 4 + (2*s - s**2 - 2*s)*(5 - 5 - 3*s) + s**3 + 4*s**2 - 4*s**2.\nAnswer: 2*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*z - 3*z + 84. Suppose 6*x - z*x = -18. Suppose 0*c + 9 = 3*c. Solve 6*w - 3*w - x*j = 15, 0 = 5*w + c*j - 9 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5 = -3*v - 1. Which is smaller: v or -7\/4?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of (((-6)\/(-15))\/1)\/(9\/32445)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: -6 + (25 - 21 - -4)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-9)\/6*(-2 - -8).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from pppp. Give prob of sequence pppp.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let x(b) = 19*b**3 - 11*b**2 - 11*b - 11. Suppose 15*i + 2 = 16*i. Let w(g) = -200*g + 203*g - 5*g**3 + 5*g**2 - 2*g**i + 3. Calculate 22*w(a) + 6*x(a).\nAnswer: 4*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -171*p + 2781 = 729 for p.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 2498352 and 59478?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Determine u, given that -18*u**3 + 201\/2*u**2 - 82*u - 1\/2*u**4 + 0 = 0.\nAnswer: -41, 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 42\/28*10\/(-3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:20 PM and 3:10 AM?\nAnswer: 710","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.1 and 0.1442933.\nAnswer: -0.01442933","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 3160 - 3173. Let f(t) = -11*t. Let b(l) = 65*l. Calculate r*f(h) - 2*b(h).\nAnswer: 13*h","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"}
{"text":"Question: Let x be (0 - 2) + (-1 - -4). Let b(u) = x + 11*u + 3*u - 3*u - 6*u. Let a be b(3). What is the highest common factor of a and 24?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 418579 and 20552.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*l + 1 - 1)*(-2 + 6 - 2)*(3 - 2 + 1) + 0*l + 3*l + 0*l.\nAnswer: -5*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 1400 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: Does 142 divide 50337707?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose z + 2*j - 3*j = 10, -5*z - 3*j = -58. What is the remainder when z is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -20.7 - -20.6. Sort 2\/19, 2\/3, 4, s in descending order.\nAnswer: 4, 2\/3, 2\/19, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -10\/291713057 >= 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -2 + 2. Suppose 0 = h - p - 1. Let q = h - -1. Solve q*c + 5 = 7*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 6104 is divided by 47.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Convert -33414315 (base 6) to base 9.\nAnswer: -1813712","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 40130120 (base 5) in base 11?\nAnswer: 1a7629","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 237 to the power of 1\/5, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 88 is divided by 24?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 3485 and 5181090.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(448) + (sqrt(448) + -2)*-1 - (sqrt(448) + -2 + 1)) + -1*(sqrt(448) + (sqrt(448)*3 + 2)**2) + -5.\nAnswer: -4038 - 112*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is -4469 equal to -4443?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 235368461?\nAnswer: 31, 701, 10831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let v(g) be the third derivative of -g**5\/540 + g**3\/54 - g**2. Factor v(j).\nAnswer: -(j - 1)*(j + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -204 = 5*y - 224. What is the nearest to 11 in y, -1.2, -2\/21?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(12) - sqrt(48)*-1)\/(sqrt(864)\/sqrt(9)) - (sqrt(120)\/(sqrt(6)*-2))\/(sqrt(10) + sqrt(90)\/(sqrt(9) + sqrt(27)\/sqrt(3))))*-2.\nAnswer: -13*sqrt(2)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Does 56 divide 437024?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is -36 divided by 1?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2089 = 492*b - 167*b - 4589 + 178 for b.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 25 = 5*z + 15. Differentiate 61 - 64 + m**3 - m**z + m**2 with respect to m.\nAnswer: 3*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1931134 a multiple of 2028?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 64 - 182772?\nAnswer: -182709","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.47*-2559.\nAnswer: 1202.73","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -2031 + 2036. Sort 4, -8, g in increasing order.\nAnswer: -8, 4, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-36)\/(-20) + (-1)\/(-5). What is the first derivative of 0 - 1 + g*l - l wrt l?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d**4*d\/(d\/(d\/d**1)))**(-30) assuming d is positive.\nAnswer: d**(-120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 16 = 2*a + 8. Suppose -6*p + 64 = -a*p. Let b be 2\/(-3 + 290\/96). What is the highest common factor of b and p?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -10, -2, 3, 32, -1 in increasing order.\nAnswer: -10, -2, -1, 3, 32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2*2*1\/((-4)\/13).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve x = -2*t - 12, 5*x + 17*t = 21*t - 4 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3*1*sqrt(468).\nAnswer: 18*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.46078793 to three dps.\nAnswer: 0.461","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"}
{"text":"Question: Let o = 0.201 - -2.259. Let a = 0.46 - o. Sort -5, -1\/6, 1\/9, a in ascending order.\nAnswer: -5, a, -1\/6, 1\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 44\/4 + (1250\/(-80) - -5)?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 83\/22584 and 47\/75280.\nAnswer: 225840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 r and 1 g when two letters picked without replacement from {w: 1, c: 1, g: 3, r: 3, s: 2, k: 2}?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 4050 and 1296.\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-48)\/18*(-17)\/(272\/(-72))*2.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Divide 2 by -6436122.\nAnswer: -1\/3218061","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (0 - 0)\/(7\/(-7)). Suppose 3*x - 2*l - 33 = t, x + 2*x - 42 = -l. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 9*l + 6*l - 4*l + 33*l to the form s*l + j and give s.\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 22*h - 13*h = 468. Let m = -46 + h. Solve 5*y = 31 - m for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 696312 is divided by 75?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((q*q**9\/q)\/q**(-6\/13))\/((q*q**(-2)*q*q)\/q**1) assuming q is positive.\nAnswer: q**(123\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let x(a) = 2*a**2 - 2*a + 13. Let b(y) = 3*y - 3. Let l(p) = -5*p + 5. Let f(n) = -8*b(n) - 5*l(n). Let c(r) = 5*f(r) + x(r). Is 6 a factor of c(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(w) = -8*w**3 - 73*w**2 + 4*w + 67. Give a(-9).\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Factor 168*j**2 - 4390*j - 13978.\nAnswer: 2*(j - 29)*(84*j + 241)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -4\/73 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4778*o + 38894 - 100860 - 86152 = 0 for o.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1*(sqrt(38)\/sqrt(2)*5 - (((sqrt(475) - sqrt(19)) + sqrt(19))**2 + 4)) + 1.\nAnswer: -478 + 5*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 7617109 is divided by 107.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -23014, -46055, -69120, -92221, -115370, -138579?\nAnswer: -161860","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -53, -295, -661, -1145, -1741, -2443?\n\"Answer: m**3 - 68*m**2 - 45*m + 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 88.46 rounded to 1 decimal place?\nAnswer: 88.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-1495)\/156 - 28\/(-12)) + 7.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 10202 (base 3) in base 12?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 16 a factor of 455729?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -4509 + 4638. Solve 12 = 125*w - u*w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -3 or 4166948?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 6, 92, 322, 768, 1502?\n\"Answer: 12*a**3 + 2*a - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 75191980?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"}
{"text":"Question: Let a = -24 + 29. Let g be (-22)\/(-55) - 2\/a. Solve z - 13 = 4*h - 0*h, 4*h + z + 3 = g for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-1 - (-4 - 0)) + (-35 - -35).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -1777 + 1785. Solve -f = 17*p - 93 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 122810, 245807, 368804, 491801, 614798?\nAnswer: 737795","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, 1, 5, -1\/8.\nAnswer: -1\/8, 1, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 3400359340 and 140.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let x(t) = -5*t**3 + 8*t**2 - 10*t - 17. Give x(-1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*r + 164 = -7. Suppose -2 - 6 = -2*c. Suppose -3*z - r = -n, 75 = c*n - n - 3*z. Calculate the greatest common divisor of n and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-4370)\/(-361))\/(1355\/10298)?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(z) = 0*z**3 + z**3 - 97 + 0*z**3 + 98 - z**2 - 2*z. Let r(x) = 12*x**3 - 8*x**2 - 26*x + 11. Let y(l) = -22*b(l) + 2*r(l). Find q, given that y(q) = 0.\nAnswer: -4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(q) = q**2 - 6*q - 5. Let x be a(7). Let v(r) = 1. Let t(c) = -6*c**2 - 4*c. Let z(g) = x*v(g) - t(g). What is z(-2)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 95993.34 litres?\nAnswer: 95993340","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:08 AM and 1:05 PM?\nAnswer: 237","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 189825?\nAnswer: 3, 5, 2531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 27 - 479a?\nAnswer: -4773","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Does 12 divide 1178533704?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5*sqrt(99)*-1)\/sqrt(9).\nAnswer: 5*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let p(z) = z**3 + 12*z**2 + 30*z + 9. What is the remainder when 174 is divided by p(-7)?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.0488 times 11422.5\nAnswer: 557.418","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Put -1, 0, 691 in decreasing order.\nAnswer: 691, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1257?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (-1242852)\/(-336) - (-9)\/252?\nAnswer: 3, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 0 + 0 + 0\/2. Let b = -20 - -22. Solve d*n - b*n = 6 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ejjefefeeffffff. Give prob of sequence efee.\nAnswer: 4\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 3\/(126\/4) + (-16)\/168. Solve -4 = -5*z + 4*v, -2*v = 3*z - f*v + 2 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(f) = 7*f**3 - f**2 - 2*f - 1. Let r be a(-1). Let g(c) = 76*c**2 + 2*c - 4. Let p be g(r). What is the hundreds digit of p\/51*(-1)\/((-4)\/6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 3159*t**2 + 3141*t**2 - 6294*t**2 - t**3 - 2 - 53*t as k + u*t + j*t**2 + w*t**3 and give j.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 6421 + -6418. Let u(a) be the third derivative of a**4\/8 - a**3\/3 + 2*a**2. Determine u(z).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 6*r - 22 - 62. Suppose 3*q - 497 = r*f - 13*f, -5*q = f - 823. What is the highest common divisor of 11 and q?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 44*c**2 + 458*c**2 + 45*c**2.\nAnswer: 547*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let k(w) = w**2 - 6*w - 1. What is k(3)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2 + 5 + (-13 - -12).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 6594618?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 71 = 5*c - 4*v + 61, -2*c = -v - 4 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let w(x) = 2*x**3 + 336*x**2 - 340*x - 392. Calculate w(-169).\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 7\/27*(-528)\/(-1232).\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 121 minutes after 3:53 PM?\nAnswer: 5:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 57708, 115417, 173126?\n\"Answer: 57709*j - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -166.2 + -54.8. Let u = 220.999707 + p. Round u to four decimal places.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 324 - 295. Let h(c) = 2*c**2 - 17*c - 107. Is h(l) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(k) = -3*k**3 + 143*k**2 - 161*k + 18. Determine v(1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 1 + 69?\nAnswer: 6a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Product of -17.47 and 0.2294.\nAnswer: -4.007618","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -93*c = -94*c + 168. What is the greatest common divisor of c and 56?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(z) = z**3 + 7*z**2 + 3*z + 8. Let g(c) = 3*c**3 + 22*c**2 + 8*c + 25. Let k(a) = -7*b(a) + 2*g(a). What is k(-4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 21.512249 rounded to three decimal places?\nAnswer: 21.512","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 15 + -14.9999997. What is g rounded to 7 dps?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 5, -3, -245, -4, 30 in decreasing order.\nAnswer: 30, 5, -3, -4, -245","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 13090*z + 2 - 3983*z + 2935*z.\nAnswer: 12042*z + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {f: 2, z: 4, y: 8, b: 1}. What is prob of sequence yf?\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 906 + -905. Solve -9 = -2*k - 2*g - v, -k + g = -6 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 11880.41 rounded to the nearest 1000?\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 45125198 to the nearest integer?\nAnswer: 6718","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -p + 140 = -5*l + 2*p, -3*l = 3*p + 84. What is the least common multiple of 1 and 3 - ((-6)\/(-8) - 7\/l)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(o) be the third derivative of o**7\/105 - o**6\/60 - 7*o**5\/30 + o**4\/12 + 2*o**3 + 111*o**2. Find l such that s(l) = 0.\nAnswer: -2, -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5842036 rounded to the nearest one thousand?\nAnswer: 5842000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let i(k) = 603*k. Let j(h) = h**2. Calculate j(i(g)).\nAnswer: 363609*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -720*u + 719*u + 40, -15*c + 4*u = 160 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 143\/26*(-10)\/5?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 195691?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let t(j) be the second derivative of 0 - 1\/10*j**5 + 0*j**4 - 18*j + 1\/2*j**3 - 11*j**2. What is the derivative of t(x) wrt x?\nAnswer: -6*x**2 + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*j = 5*g - 32, -5 - 17 = -4*g - 2*j. Let r(s) = 19*s + 31. List the prime factors of r(g).\nAnswer: 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 5.66 + -5.8. Let j = -165 - -164.96. Let z = d - j. What is the nearest to 0 in z, -7\/6, -0.2?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, -8, 15.\nAnswer: -8, -2, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 297542680*l**6 - 32398078*l**2 + 3.\nAnswer: 35705121600*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let y(o) = 716783*o**2 - 35*o - 35. Is y(-1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 61 - 82. Let i = -24 - s. Sort 4, 3, -9, i.\nAnswer: -9, i, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 2\/(-4*(-1)\/2).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 16959?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 160 divided by 10.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2259 + 2216 = -3*u + 4*i, -3*i = -2*u + 31 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 707 minutes after 8:10 PM?\nAnswer: 7:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {m: 2, p: 3, s: 2, u: 2, t: 8}. Give prob of sequence uu.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let b(i) = -5*i**2 + 3 + 309*i - 3 + 0 - 313*i. Let r(v) = -6*v**2 - 5*v. Let n(d) = -5*b(d) + 4*r(d). Let z(s) = 103*s**2. What is n(z(p))?\nAnswer: 10609*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 11 a factor of 1650?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Does 4 divide 159?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 834184.\nAnswer: 2, 13, 617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 5  (b) -34  (c) 1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let v(j) = -7*j**2 + j - 9. Suppose 5*r + 5*o - 40 = 0, -2*o = -r + 17 - 15. Let i(y) = -13*y**2 + 2*y - 17. What is r*i(l) - 11*v(l)?\nAnswer: -l**2 + l - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 1\/672312 and -67\/3598?\nAnswer: 4706184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let u(v) = -48202 - 5*v + 48202 - v. Suppose 2*b - 19 = q, 5*b + q - 50 = 15. Let r(i) = b - 12 + i**2. What is r(u(x))?\nAnswer: 36*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 11473 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 3\/9631 or -1\/19610?\nAnswer: -1\/19610","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5921 = -21*k - 440. List the prime factors of k.\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 11962\/(-209335)*(-10)\/(-12).\nAnswer: -1\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q be -60*(0 + 567\/(-28)). Suppose 0 = -v + 2*m + q, -105*v + 107*v = 3*m + 2432. Is 12 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -239 divided by 13?\nAnswer: -239\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -1\/4  (b) 5  (c) 1  (d) -3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 9 and 225?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 366 minutes after 12:45 PM?\nAnswer: 6:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let y(c) = 6*c. Let l be y(-1). Let z be ((-10)\/(-6))\/((-1)\/l). Solve 4*x + 25 = -5*u + 6*x, z = -2*u - 2*x for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {l: 3, d: 4, k: 7}. Give prob of sequence kd.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 399206.1t in nanograms?\nAnswer: 399206100000000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 454976 is divided by 484?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5 + (sqrt(30) - sqrt(210)\/(sqrt(63)\/sqrt(9)))\/(-1*sqrt(160)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 - ((-1 - 82) + (-250 - -266) - -14)?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.4 and 1327.408.\nAnswer: -530.9632","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -3.1 and -15225.\nAnswer: 47197.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 158.4 > -6.82?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let z(y) = y**3 - 26*y**2 + 78*y + 146. Give z(24).\nAnswer: 866","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -175 - -34. Let l = 140.813 + j. What is l rounded to two dps?\nAnswer: -0.19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 25854432?\nAnswer: 2, 3, 269317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is (-18880)\/450 + (-598)\/13455?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 10123.45711 rounded to the nearest 100?\nAnswer: 10100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 22119\/88476*(8\/(-15))\/2.\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 20*g - 16*g + 8 = -s, -2*g = s + 2 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (530 - -1)*(-130)\/(-195). What is the highest common divisor of 118 and x?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*c - 20 = -s, 0 = -5*c - 3*s + 322 - 282 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 498 + -426. Let f = 174103959.999983 - 174103888. Let z = f - u. Round z to 6 dps.\nAnswer: -0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put together -123920030 and -14.87.\nAnswer: -123920044.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let t(o) = o + 40. Let l be t(-37). Factor 2\/7*y**4 + 0 + 6\/7*y + 2\/7*y**l - 10\/7*y**2.\nAnswer: 2*y*(y - 1)**2*(y + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(w) = 202*w + 206*w - 409*w. Let k(r) = -5*r + 15. Give c(k(p)).\nAnswer: 5*p - 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -33255 - 3?\nAnswer: -33302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2\/7?  (a) 0.4  (b) 0.01  (c) -0.4  (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -20304400 - -32?\nAnswer: -20304313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 1520 and 255664?\nAnswer: 304","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 8102?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: 2227923 divided by -742641\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let z(c) = c**3 + c - 6 + 3 + 1 - 4*c**2 + 1. Let k be z(4). Suppose -4*b - 37 = -k*a + 2*a, 73 = 4*a - b. Calculate the highest common factor of 85 and a.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 30\/9*(-12)\/(-10). Let n = 105 - 57. Suppose 2*f = 6*f - n. Solve -x*g - f = -g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*h + 202 = 2*k, 0*k = -2*k - 3*h + 200. Suppose -3*q + k = 2*z, -2*z + 2*q = 3*q - 109. Calculate the remainder when z is divided by 31.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -0.37 - -0.27. Let o = 0.9 - g. What is the nearest to o in 0.5, 0.2, -0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 19 a factor of 266?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 11313815 is divided by 211?\nAnswer: 206","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Factor 0*n - 1\/6*n**3 + 0 - 1\/3*n**2.\nAnswer: -n**2*(n + 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*r + 31 = 4*d, 2*d + r = 15 - 0. Suppose -14 = 3*w + 4*j - 2, 12 = -2*w - 4*j. Let f(a) = -5 + a + 4*a + 6*a**2 + 3*a + w - a**3. Determine f(d).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(r) = -2*r. Let u(n) = -17*n**2 - 6. Let f(q) = -35*q**2 - 11. Let x(t) = -6*f(t) + 11*u(t). What is x(l(p))?\nAnswer: 92*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 978 - 930 = 6*u for u.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 6919?\nAnswer: 11, 17, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {t: 5, m: 2}. Give prob of sequence mmm.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s**(-3\/4))**(14\/3)\/(s**3*s)**(-7\/6) assuming s is positive.\nAnswer: s**(7\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is -611 take away 22.306?\nAnswer: -633.306","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*q - 174 = -f + 26, 4*f + 40 = q. Suppose d + 2*d - 2*g = 80, 0 = -2*d + 5*g + 46. Calculate the least common multiple of q and d.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 41\/104 and -1\/1404.\nAnswer: 2808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let i(n) = 6*n**2 - 13. Let k = 19 - 10. Suppose -k = 5*m - 5*j - 29, 1 = m - 4*j. Let h(d) = 4*d**2 - 9. Determine m*i(z) - 7*h(z).\nAnswer: 2*z**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 122 - -212012210010?\nAnswer: 212012210202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -3043042323402 + -4?\nAnswer: -3043042323411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 109\/484 and 81\/88.\nAnswer: 968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Sort 13, -3, 7, 23, 2746 in ascending order.\nAnswer: -3, 7, 13, 23, 2746","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let d(r) be the first derivative of -7*r**3\/3 - r**2\/2 - 9. Find the second derivative of d(f) wrt f.\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-64)\/(-5) + (-3)\/(-15). Let p(z) = -2 - n*z - 15*z + 21*z. Give p(-2).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -109920, -2, 401?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let q(j) = -189*j**3 - 21*j**2 + 21. Suppose -247 = -53*o + 866. Let b(y) = -19*y**3 - 2*y**2 + 2. Calculate o*b(g) - 2*q(g).\nAnswer: -21*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 13098 = -101*m + 79143 + 108483. What is m rounded to the nearest one hundred?\nAnswer: 1700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 56 - 51. What is the second smallest value in 0.2, 1, -0.2, g?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 330.6 - 148.54. Let o = 182 - u. Suppose 0 = -0*f - 2*f - 8. What is the nearest to o in f, -2, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*v = -5*v. Solve -4*q = -5*s - 13, v = 3*s - 2*q + 2 + 7 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(w) = 43*w**2 + 6*w - 6. Let i(v) = 44*v**2 + 7*v - 7. Let j(x) = -6*i(x) + 7*n(x). Let u(y) = -5*y. Give u(j(a)).\nAnswer: -185*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -9.7 and 6.811?\nAnswer: -66.0667","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 3.99 - 63.19. Let m = 59 + z. Sort -28, -3, m in decreasing order.\nAnswer: m, -3, -28","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*w = 3*s + 295 + 2650, 5*w - 3*s - 7385 = 0. Is 37 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-1602)\/18 + 1 + 6. Let t = p - -138. What is the remainder when 185 is divided by t?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1169 = 69*k + 755 for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.02 times 1?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*m + 7*m = -770. Let r = 317 + m. Suppose w + 147 = 3*c - 2*w, 3*c = -5*w + r. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(l) = 54*l - 107. Let h be x(2). Which is the closest to -1?  (a) h  (b) 0.2  (c) -138\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -2 + 9*j + j**3 - 9*j + (j + 0*j + j)*(0*j**2 + 2*j**2 + 0*j**2) as k*j + f*j**2 + c + w*j**3 and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -1815, -1844, -1873, -1902?\nAnswer: -1931","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a(l) = l**3 + l**2 - l - 1. Let m(g) = -4*g**3 - 4*g**2 - 7*g + 3. Let p(j) = j**3 + j**2 + j - 1. Let h(t) = -m(t) - 5*p(t). Calculate -2*a(o) - h(o).\nAnswer: -o**3 - o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 273150 is divided by 397.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -1\/6  (b) -1148  (c) -1\/14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6 = 2*p, -5*l - 4*p - 2202588 = -2*l. Round l to the nearest one hundred thousand.\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(q) = -2*q**3 - 4*q**2 - 3*q - 3. Let x(f) = -3*f**3 - 4*f**2 - 4*f - 3. Let g(y) = 5*s(y) - 4*x(y). Is 9 a factor of g(3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence uru when three letters picked without replacement from uzzuzggzzygugzrz?\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2221191 - 0.4.\nAnswer: 2221190.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let c(n) = 1. Suppose -4*o = 29 - 13. Let g(t) = 30*t**2 + 8*t + 4. Let k(d) = o*c(d) + g(d). What is the second derivative of k(w) wrt w?\nAnswer: 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {a: 6, w: 7, i: 1}. Give prob of picking 2 w and 2 a.\nAnswer: 45\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 46716.3331 - 46714. What is o rounded to 2 decimal places?\nAnswer: 2.33","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Do -14\/51 and -1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (2\/6)\/((-10)\/36). Let z = 1.464 - 0.064. Let v = z - 1.1. Which is the smallest value?  (a) v  (b) -3\/7  (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(q) = -15*q**3 - 5*q**2 - 4*q - 3. List the prime factors of i(-3).\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3 + sqrt(19) + -4 + 1)**2.\nAnswer: -12*sqrt(19) + 55","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 4\/(-6) - 100\/(-15). Suppose -m = -6*h + 5*h. Let l = 2 + 8. Solve -4*r = h + l for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -23313\/4730 - -235\/43. Let b = 10729\/5148 + -1\/1287. What is the common denominator of o and b?\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 371, -35, -1125, -3241, -6725, -11919, -19165?\n\"Answer: -57*l**3 - 7*l + 435","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u(z) = 2*z + 7. Let y(a) = -2*a - 16. Let l(t) = 5*t + 33. Let b(g) = -4*l(g) - 7*y(g). Determine 4*b(r) + 11*u(r).\nAnswer: -2*r - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let k(y) = 21*y + 1. Let f(t) = 54*t + 42. Let r(g) = -13*g - 10. Let c(b) = -5*f(b) - 21*r(b). Give k(c(a)).\nAnswer: 63*a + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 6055*i**3 - 7991*i**2.\nAnswer: 36330","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -12072101 divided by 145447.\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"}
{"text":"Question: Determine m, given that -4*m**5 - 1588*m**4 - 156808*m**3 + 159992*m**2 + 156812*m - 158404 = 0.\nAnswer: -199, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in -3, -359, -5, 0, 7, -25?\nAnswer: -25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -83\/6 and -53\/9940.\nAnswer: 29820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: 20c (base 13) to base 4\nAnswer: 11132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w(y) = 2*y**3 - 4*y**2 + 2*y + 1. Let b(m) = -m**2 + 7*m - 4. Let h be b(6). Let c be 5 - (h + 7)\/3. Let s = c - 0. What is w(s)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-60)\/(-18)*12\/10.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t(j) = j**2 - j. Let y(p) = -2*p**2 + 1. Let x = -366 + 317. Let b be (3\/21)\/(((-35)\/x)\/5). What is b*y(m) + 3*t(m)?\nAnswer: m**2 - 3*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (737\/33 + -44 + 23)*(-78)\/4.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 657 minutes after 7:49 PM?\nAnswer: 6:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let d(u) = -u**3 - 2*u**2 + u - 4. Let y be d(-3). Suppose -y*b - 5 = -3, -3*s = -b + 101. Let h = -26 - s. What are the prime factors of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is v in -84*v**5 + 165*v**4 - 72*v**3 - 15*v**2 + 6*v = 0?\nAnswer: -2\/7, 0, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2239*f - 4*f**2 - f**2 + 1957*f - 4196*f.\nAnswer: -5*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 432 is divided by 158.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 40, 44, 50, 58, 68, 80, 94?\n\"Answer: d**2 + d + 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Express -255 + 55*g - 2*g**2 + 65*g - 122*g + 0*g**2 as k*g**2 + b*g + v and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 29.955 - -0.045. Let l = f - 30.0017. What is l rounded to three decimal places?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -1110 - -120021010120112?\nAnswer: 120021010112002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 966*u**3*w - 4116949*u**3 + 7*u**2*w + 171*u*w + 2*w wrt w.\nAnswer: 966*u**3 + 7*u**2 + 171*u + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (7*z**2 - 10*z**2 + 1494*z - 13 - 1497*z)*(4 + 3 - 5) + 0*z**2 + 3*z**2 - z**2.\nAnswer: -4*z**2 - 6*z - 26","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11322 = 9*b + 5*b + 23*b. Suppose -41 = -2*c - 5. Calculate the highest common divisor of c and b.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(q) = 34*q - 5*q**2 - 308*q**3 + 136*q**3 - 12 + 171*q**3. What is o(-9)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -1 + 7. Let t = -166 - -166. Is t smaller than s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -0.2  (b) 2  (c) 3\/2  (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -70 - -105. Let q = -17 + g. Let l(f) = 4*f - 12. Does 12 divide l(q)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -3195, -6401, -9607?\nAnswer: -12813","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u(q) = -q**2 + 8*q. What is u(9)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 816 and 297060?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 2294*m**4 + 9004*m**2 + m + 30997230 wrt m.\nAnswer: 27528*m**2 + 18008","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 96.6746123 minus 16526?\nAnswer: -16429.3253877","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 12 a factor of (8 + (-8 - -1709))\/(7\/49)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 473*d - 1856 = 357*d for d.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 13143018, 26286032, 39429046, 52572060?\n\"Answer: 13143014*o + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d(q) be the first derivative of -3*q**2\/2 - 5*q - 16. Let b be d(5). Which is smaller: b or -19?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -8*q = -27*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -74827*1.1.\nAnswer: -82309.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -5221 + 41689\/8. Let u = -2165\/737 + 8\/67. Find the common denominator of u and b.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*x + 5*x + 5 = 0, x = -4*j - 13. Suppose -16*h = -175 - 17. What is the common denominator of j*141\/h*1\/(-6) and -49\/44?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of -45*(4 - (-6503)\/(-35))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -4456 + 4592. Calculate the highest common divisor of h and 425.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, -2, 5, 38, -2745, -30 in ascending order.\nAnswer: -2745, -30, -4, -2, 5, 38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.102, -14, 1.585, 4 in descending order.\nAnswer: 4, 1.585, 0.102, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 3 - -1. Let x = 0 - 6. Let w = x - -5. Which is the nearest to w?  (a) -2\/11  (b) -2  (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 15744998 is divided by 1918.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -29 - -32. Suppose g - 7 = z*g - 3*j, -g - 11 = -3*j. Suppose -g + 8 = 2*y. Does 2 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 210.28 or 0.5593?\nAnswer: 210.28","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand -92*o**4 - 6 + 92*o**4 + 2*o**5 + (-2 - 2*o + 2)*(-2*o**4 + 3*o**4 + o**4) - 4*o**4 + 4*o**4 - o**5.\nAnswer: -3*o**5 - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((w**3*w*w*w**(-15))\/(w\/w**(-10)*w*w*(w*w*w**(-25)*w*w)\/w))**(-15) assuming w is positive.\nAnswer: w**15","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*c + 2*z = 32, 3*z - 3 = 4*c - 15. Suppose -2*b - 16 = -c*b. What is the remainder when 11 is divided by b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 88 and 66?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let m(t) = 5*t**3 - t**2 + 2*t + 3174. Is m(0) a multiple of 138?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3 + (sqrt(11) + -2 + -2 - 1*sqrt(539))**2.\nAnswer: 48*sqrt(11) + 415","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Divide -26156300 by -6.\nAnswer: 13078150\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let w(p) = 3357*p - 2. Let t be w(1). What is the highest common factor of 55 and t?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is f in -3*f**2 - 6810114*f + 6810117 = 0?\nAnswer: -2270039, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let z(t) = t**3 - t + 1. Let u be (-20)\/(-9) + -2 + 80\/45. Give z(u).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 221825 = 50*y - 38*y - 7*y. What is the thousands digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1\/30?  (a) 4\/7  (b) 2  (c) -0.057\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let h(u) = u + 8. Let q be h(-7). Suppose -5*l + 5*r = 5, -q = 4*l + 5*r + 12. Let n = 145 + -148. Which is the closest to l?  (a) n  (b) -0.3  (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(o) = o**3 - 17*o**2 + 22*o + 117. What is c(15)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1178 is divided by 173.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 18*o - 22*o - 41 = 11 for o.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is -2626 less than -2623?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {p: 1, c: 1, h: 1, k: 1, a: 1}. Give prob of picking 1 k and 1 c.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let g(f) = 2*f**2. Let a(l) = -30*l - 7. Let k(s) = -20*s - 5. Let d(o) = 5*a(o) - 7*k(o). Calculate d(g(m)).\nAnswer: -20*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Total of 8 and 18105887.\nAnswer: 18105895","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let y(s) = 2*s + 3. Let g = 90 - 92. Let m(r) = -4*r - 5. Calculate g*m(c) - 5*y(c).\nAnswer: -2*c - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: 4 + 0\/(3 - 6)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 18\/(-30) - (1624\/(-20))\/2 and 28?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -42889 or -42892?\nAnswer: -42892","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 - 3*s**2 + 1)*(16 + 48 + 50)*(-2*s**2 + 3*s**2 + 22*s**2).\nAnswer: -7866*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let z(h) = -h**3 + 2*h + 1. Let q be z(-2). Suppose -3 + 23 = -q*c. Sort 2, 0.3, c in descending order.\nAnswer: 2, 0.3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -0.36 - -0.53. Let g = h + -79.17. Let b = g - -79.00059. Round b to 4 decimal places.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 26*v - 34*v = -40 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*o = -s - 51, 4*o + 3*s + 0*s - 117 = 0. Suppose d + 120 = 9*d. What is the remainder when o is divided by d?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -78 - 1160?\nAnswer: -1218","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*b = -4*s - 8798, 5*s - 1002 - 3432 = -b. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 0.294  (b) 0  (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z*z**(-1))**(1\/15)*(z*z*(z**(-1\/5)*z*z)\/z)\/z*z**2*z assuming z is positive.\nAnswer: z**(24\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let y(t) = -t**3 + 9*t**2 - 10*t - 1. Calculate the remainder when y(5) is divided by -1 + 5\/((-10)\/(-52)).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(w) = -8*w**2 - 24*w - 64. Let z(f) be the second derivative of f**4\/12 - 5*f - 4. Let u(a) = -l(a) - 6*z(a). Factor u(o).\nAnswer: 2*(o + 4)*(o + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 2 and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 0.5, -2\/15, -1, 17\/2, 288?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-1 - 1)*((-45)\/2)\/15. Let r(g) be the first derivative of 0*g + 0*g**2 + 8\/3*g**c - 7\/4*g**4 - 5. Find the third derivative of r(t) wrt t.\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a*a**25)\/(a**(-2\/11)*a) assuming a is positive.\nAnswer: a**(277\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15 = 3*r, 4*o - 2*o + 15 = -3*r. Suppose o = -0*q + 3*q. Let i be 1\/((-3)\/(-13 + -2)). Which is the nearest to q?  (a) 3  (b) i  (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(x) = -x**2 - 10*x - 16. Let f be q(-7). Let p = -1 - -3. What is the third derivative of 3*h**3 - 6*h**2 + f + 5*h**p - 5 wrt h?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 121\/968*(-1400)\/14?\nAnswer: -25\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 26*g*h*s**2 + 128178*g*h*s + 48358*g*s**2 + 5*g + 3*h*s**2 - 2*s**2 wrt s.\nAnswer: 52*g*h + 96716*g + 6*h - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -3.13576 and 0.1?\nAnswer: -0.313576","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 1d + 3686?\nAnswer: 36a3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let n(p) = p**3 + 2240*p**2 + 4462*p - 32. Calculate n(-2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2\/3 in 0.12, 5\/2, -0.018?\nAnswer: -0.018","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((n*n**(-11\/5)*n)\/((n*((n*n**(-6)*n)\/n)\/n)\/n)*n**(-5)\/n**(-2))**(5\/13) assuming n is positive.\nAnswer: n**(14\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5*x**2 - 3*x**2 - 3*x**2)*(2*x + x - x)*(48 - 48 + 6*x)*(-16*x - 5*x - 24*x).\nAnswer: 540*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Round 18.451 to the nearest integer.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let o(k) = 6*k - 4*k - 11 + 13. Let d(a) = a**2 - a - 1. Let z = 11 + -7. Suppose z*t = t + 3. Determine t*o(w) + 2*d(w).\nAnswer: 2*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*w + 26*w - 19456 - 5891 = 0. What is the units digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 117 - 75. Does 8 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (9*a**2 - 3*a**2 + 3*a**2)*(a**3 - 3*a**3 + 3*a**3).\nAnswer: 9*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 36079456?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let f(i) = -5*i. Let z(u) be the third derivative of -u**8\/10080 - u**5\/30 + 3*u**2. Let d(h) be the third derivative of z(h). Determine f(d(g)).\nAnswer: 10*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*l - 7 = l + 2*j, -4*l - 3*j = -6. Suppose 0 = -l*g + g + 110. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 19456623.\nAnswer: 3, 31, 69737","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -22679\/5 + 4536. What is the fourth smallest value in 0.1, g, 22, 5.4?\nAnswer: 22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(x) = -x**2 - 8*x - 51. Let l be h(-15). Let i = 152 + l. Let v(j) = 92*j**2 - 2*j + 1. Is v(i) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*j - 8 - 8 = 0, p - 33*j + 27*j - 43 = 0 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -0.4  (b) 1  (c) 4\/17  (d) -3\/5  (e) 2.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*u - 15 = -2*u, -26 = -5*i + 3*u. Let c = 3349 + -3347. Sort 1, i, c in decreasing order.\nAnswer: i, c, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 15*t + 10*t - 43*t + 2233 + 10*t.\nAnswer: -8*t + 2233","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: 2\/17*(-340)\/(-2750)*25\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of -4 - -4 - -1175 - 7?\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14*x - 20 = -48. Let w = 0.4 + -0.9. Which is the smallest value?  (a) x  (b) 1.2  (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-12)\/9*201\/(-134).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*i - 0*i. What is the derivative of i - 4*x - 2*x + 1 wrt x?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(c) be the second derivative of 65*c**3\/6 - c**2 + 2*c + 505. Let f(i) = -i**2. Give w(f(t)).\nAnswer: -65*t**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*s**2\/3 - 688*s\/3 - 59168\/3.\nAnswer: -2*(s + 172)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is -74 at most as big as 663?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 19880696?\nAnswer: 2, 11, 263, 859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*t = -4*t + 13. Let v(u) = -2*u - 2*u + t - 11*u**2 + 0 - 9*u. Let o(b) = -5*b**2 - 6*b + 6. Calculate -13*o(l) + 6*v(l).\nAnswer: -l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*f = 0, -g + 5*g - 2*f - 8 = 12. Solve 3*k + g*i = -9, -5 - 7 = 4*k - i for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-2)\/(-36))\/(1*(-6)\/(-18)).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Divide -17609293 by -104197.\nAnswer: 169","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 239805767?\nAnswer: 263, 557, 1637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 3 and 1473.\nAnswer: 1473","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 274 a factor of 1253673?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*a - 3*p = 31, -5*a + 3 = p - 50. Let c(l) = l**2 - l + 28. Does 22 divide c(a)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -3 + 2. Let r(c) be the third derivative of c**6\/30 + c**5\/60 - 14*c**2. Give r(m).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2?  (a) 0.169  (b) 1  (c) 25\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Determine g, given that -3*g**4 + 21*g**3 + 444*g**2 - 84*g - 1728 = 0.\nAnswer: -9, -2, 2, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let k be ((2 + -2)\/(-2 - -3))\/1. Suppose -4*i + 3 = z - 3, -2*z - 2*i = -30. Calculate the smallest common multiple of z and (-1)\/(1 + k + 51\/(-48)).\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(f) = -453*f. Let s(p) = -57*p - 12. Let g(c) = -10*c - 2. Let z(o) = 6*g(o) - s(o). Give z(k(x)).\nAnswer: 1359*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-7 - 0)*10\/(-35). Suppose h = -3*n + u*h + 2, 4 = h. Solve -2*z - 1 = 4*j + 11, 18 = 2*z - n*j for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*c = -3*c - 280. Let l be 4\/(-14) - 38340\/c. Let x = l - -1077. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*j + 326 = -2*u, -j = -3*u - 0*u - 475. Let q = u + 233. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(h) = 108*h + 18. Let x(s) = -17*s - 3. Let g(c) = -4*f(c) - 24*x(c). Let u(k) = 71*k - 1. Give -7*g(q) - 2*u(q).\nAnswer: 26*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is -111238 (base 9) in base 7?\nAnswer: -364661","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r(p) be the second derivative of 0*p**2 + 2*p - 5\/42*p**7 + 0*p**5 + 0 + 0*p**3 + 1\/12*p**4 + 0*p**6. Find the third derivative of r(z) wrt z.\nAnswer: -300*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {s: 5, v: 3, d: 1, c: 3}. Give prob of sequence vdvv.\nAnswer: 1\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 31*d + 4*d + 455 = 0 for d.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: -4919013 divided by 99\nAnswer: -49687","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 5\/6 of a day in minutes?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4374*m = -4511*m + 1781. Suppose -2*o + 255 - 57 = 0. Calculate the remainder when o is divided by m.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -5.03 + 0.03. What is the second smallest value in 0.4, -1\/6, r?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor m**3 - 70*m**2 + 913*m + 10164.\nAnswer: (m - 44)*(m - 33)*(m + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 496808.\nAnswer: 2, 13, 17, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l*l*l**(-2)*l*l**(3\/8))\/(l*l**0)**18*((l*l**(-1))**(-5\/8))**(-29) assuming l is positive.\nAnswer: l**(-133\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Put 6922.4, -5, -74 in decreasing order.\nAnswer: 6922.4, -5, -74","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 1.7 + 0.3. Let a = -5.017 - -0.017. What is the third smallest value in 2\/23, f, a?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 1 - 120880*u**2 - 3*u**3 + 75*u + 26*u + 120882*u**2 to j*u**2 + a*u + c + d*u**3 and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-7 - -1) + -295 + 298 + -2.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 50*f - 1907 - 573 = -198*f for f.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: 10aac2 (base 13) to base 6\nAnswer: 12245115","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: 4922 divided by 43\nAnswer: 4922\/43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 30740224 is divided by 145?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6 + 14 = -i - 5*y, 4*i - 4*y - 64 = 0. What is the units digit of i\/(-8)*32\/(-6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -11 + (0 - 0 - (-3 + 0)) - -14?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 1373 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 1011 (base 7) in base 10?\nAnswer: 351","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 7626, 7398, 7172, 6948, 6726, 6506, 6288?\n\"Answer: r**2 - 231*r + 7856","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -0.068 - -0.168. What is the closest to a in -4, 1, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 10950047 to the power of 1\/2, to the nearest integer?\nAnswer: 3309","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*p - 2952 = 3320. Let f be -4 + p\/(-4) + 0. Suppose 0 = 3*z - f - 162. What are the prime factors of z?\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(c) be the second derivative of 4*c - 1\/6*c**4 + 0*c**3 + 0 + 0*c**2. Let s(l) = -12*l**2. Determine i(s(t)).\nAnswer: -288*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 891*p - 79151 = -16781 for p.\nAnswer: 70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Determine b so that -3*b**5 + 3*b**4 + 3*b**3 - 3*b**2 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 72128 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = m - 4*i - 23, -9*i = -2*m - 12*i - 9. Find h, given that -4*h**5 + 22*h**2 + 8*h**5 - 30*h**2 - 4*h**4 - 4*h**m + 12*h**2 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 42737 is divided by 1683.\nAnswer: 662","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence bsbg when four letters picked without replacement from {s: 8, g: 1, b: 2, u: 2, w: 1}?\nAnswer: 2\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1402 = 3*b - 2993. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 2314 and 178?\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 36 and 33.\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 1011101110000100111 (base 2) in base 5?\nAnswer: 44242124","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is ((-5262)\/(-45)*-3)\/((-6)\/75) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 0 + -2 - (-104 + 14). Suppose -132 - q = -4*g. What are the prime factors of g?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5833530 to the power of 1\/3, to the nearest integer?\nAnswer: 180","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -100 = -2*v - 10. Let d = v + -43. Let s(n) = n**2 + n - 1. What is s(d)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-n + n**2 + n)*(-11 + 60 - 341)*(n - 2*n + 2*n).\nAnswer: -292*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1377*w - 51*w**3 + 88*w**3 + 61*w**3 + 1378*w - 2755*w.\nAnswer: 98*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 2\/(-2)*(-3 + (5 - 2))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (109700\/(-15))\/(((-1)\/3)\/(42\/28))?\nAnswer: 2, 3, 5, 1097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4.6*0.026.\nAnswer: 0.1196","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 5988?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 2429013 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let a(o) = -33*o**3 + 3*o**2 - 33*o - 64. Let p be a(-2). Solve -4*j + p = 266 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 44446 + -44444. Sort s, -5, 0.083, -2.\nAnswer: -5, -2, 0.083, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -128.4 - -130.4. What is the third smallest value in 0.2, -0.3, a, -1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-2 - -3)*0\/11?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(s) = -s - 10. Let a(f) = -f. Give a(z(p)).\nAnswer: p + 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0141 plus 8460472?\nAnswer: 8460472.0141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1236 - 2801 + 1565 + 69*t.\nAnswer: 69*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 180150 and 1242.\nAnswer: 37291050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 0 - 0. Let u = -1880 + 1884. Suppose r = -g + 3081, u*r = -g - p*g + 3087. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 29*d - 13*d - 2816 = 0. Suppose -d = -30*n + 304. Does 5 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -12 + 11. Let y = -1 - 0. What is the closest to z in -3, y, 1\/2?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 20213426 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*t + 0*t = -2*r + 26, -3*t = -r - 51. What is the remainder when 56 is divided by t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 830 plus -2.56623?\nAnswer: 827.43377","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let j(v) = -v**2 - 5*v - 5. Suppose -2 = 2*l - 3*l. Suppose -l*a - a = 18. Calculate j(a).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 c and 1 z when two letters picked without replacement from ccczcccczc?\nAnswer: 16\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2127171 = -123*a - 2137749 for a.\nAnswer: -86","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 15431658 and 1464?\nAnswer: 61726632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 7900 a multiple of 86?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, -3, -5, 326, 5 in ascending order.\nAnswer: -5, -3, 0, 5, 326","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 95 is divided by 1*5 + (-13 + 5 - -14).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(h) = h - 15. Suppose 14*x = 10*x + 20. Let u(a) = -10*a**2 - 9*a**2 + 26*a**2 - x*a**2. What is u(g(y))?\nAnswer: 2*y**2 - 60*y + 450","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many nanometers are there in 737824.9um?\nAnswer: 737824900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w(x) be the second derivative of 31*x**4\/12 + x. Let o(r) be the third derivative of -3 - 5*r**2 + 0*r**3 + 0*r**4 + 0*r - 1\/60*r**5. Give w(o(d)).\nAnswer: 31*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 2658689616?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: -4 * -13467\nAnswer: 53868","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Does 7 divide 21287?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.5 times 0.355?\nAnswer: 0.1775","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -147.76709 + 1.34509. Let p = -129.8 - 16.2. Let h = p - r. What is h rounded to one decimal place?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 103 - -1032?\nAnswer: 1201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 35526903 divided by -19.\nAnswer: -1869837","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -724 + 1096. Suppose -a = -2*v + 170. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 40627843 is divided by 10156945?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*a**2\/23 + 94111680*a\/23 - 94111682\/23.\nAnswer: 2*(a - 1)*(a + 47055841)\/23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 20*v = 27*v + 14 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(70) + (sqrt(70)*2 + sqrt(70) - sqrt(70)))\/sqrt(7) - 1*(sqrt(160) - sqrt(10)))\/((sqrt(32) - -1*sqrt(32))*3).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 816118 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 632711 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence vle when three letters picked without replacement from elvvqq.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -27.34 + -0.66. Let k = 19.106 + 0.894. Let f = k + t. Is -1 at least as big as f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*q**3 + 781*q**2 + 1696*q + 308.\nAnswer: (q + 2)*(q + 154)*(5*q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 369 is divided by 104?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let l(v) be the first derivative of -v**7\/1890 - v**6\/405 - v**5\/270 + 6*v**3 - 21. Let z(h) be the third derivative of l(h). Factor z(p).\nAnswer: -4*p*(p + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 0.175 - 0.075. Which is the second smallest value?  (a) 1\/5  (b) j  (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(w) = w. Let j be (1\/2)\/(1\/(-2)). Let p(l) = 2. Let c(z) = -z**2 - 3*z - 1. Let t be c(-2). Determine j*m(u) + t*p(u).\nAnswer: -u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 782*h - 1387596 + 1429042 for h.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 1376293*f**5 + 9*f**4*j**3 - 2*f**2*j**2 + f**2*j + 2*f*j**3 + 33*f + j**3 + 7049*j**2 wrt f.\nAnswer: 82577580*f**2 + 216*f*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*f = f - 40. Let s be (-3 + 9\/2)\/(6\/f). Let k(y) = 2*y**2 - 1. Give k(s).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 45 divide 2880?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-585 - 35*o + 585)*(-o + o + 2*o)*(2*o**2 - 4*o**2 + 0*o**2).\nAnswer: 140*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is f in -5*f**3 + 12215000*f**2 - 7460299034985*f - 14920646930010 = 0?\nAnswer: -2, 1221501","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 4840103 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let h(b) = -b**3 + 5*b**2 - 9*b + 1. Calculate h(2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*j**2 + j**3 - 3*j**2)*(3 - 3 + 2) - j**3 - 3*j**3 + 5*j**3 + 3*j**3 - 3*j**3 + j**3.\nAnswer: 4*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-5)\/4 + (-1)\/(-4). Let g = 9 - 5. Let t = g + -4. Put -3, q, t in descending order.\nAnswer: t, q, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2*((-469)\/2)\/(-7) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 175\/1254 and 157\/330.\nAnswer: 6270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 376 minutes after 7:43 PM?\nAnswer: 1:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -4 - -4.02. Let m = -0.02 + p. What is the closest to m in 2, -4, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 690 > -5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 3 - -747 - (1 + -1). Calculate the greatest common divisor of m and 30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3*((4*(sqrt(5103) - sqrt(5103)*3))\/(-1*sqrt(225) + sqrt(225) + -1*sqrt(81)) + 3)**2.\nAnswer: 432*sqrt(7) + 12123","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 16644?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 9 a factor of 297855?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Express (1 - 1 - 2*h)*(-14*h**2 - 14*h**2 - 37*h**2 - 72*h**2) as c*h + y*h**2 + r*h**3 + k and give r.\nAnswer: 274","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 6\/15*(6288\/(-32))\/(-131)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -67 - (43 - 104 - 3).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 347044314 to the power of 1\/2, to the nearest integer?\nAnswer: 18629","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -13 - -2032?\nAnswer: 2015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let b(y) = y**2 + 10*y - 1. Let u be b(9). Let a = u + 4. Suppose -a = w - 3*w. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 9 divide 1404?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:43 AM and 1:00 PM?\nAnswer: 677","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.04 in -31393, -7, -1\/2, -4?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:43 AM and 7:56 AM?\nAnswer: 253","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -1a + c242d?\nAnswer: c2413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 11728 - 7353455\/627. Find the common denominator of n and -91\/456.\nAnswer: 5016","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 4.91 + 0.09. Let y = 69 + -69. Let t = y + 0. Which is the closest to t?  (a) 0.2  (b) -2  (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -7*t - 0 + 7 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let m(c) = c**2 - 6*c + 5. Let w be m(6). Suppose -w*v = -143 - 107. Is v a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add together -0.005 and 2.\nAnswer: 1.995","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 59 + -59. Suppose -2*z + 92 = 88. What is the nearest to l in 2\/5, z, 5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 30*h**3 + 150 - 435 + 140 + 145.\nAnswer: 30*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let p(q) = 4*q + 36. Let g(n) = 2*n + 18. Give 5*g(m) - 3*p(m).\nAnswer: -2*m - 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 10655 + -5603. What is the tens digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(u) = 235*u**2 + 260. Let y(m) = -m. What is y(b(f))?\nAnswer: -235*f**2 - 260","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(1000)*2)\/(sqrt(32)*2).\nAnswer: 5*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose t = 3*z - 178, -t - 128 = -2*z - 5*t. What is the greatest common divisor of 24 and z?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 11 - (-8 + 2)\/(-8 - -7). Solve 0 = -u*y + y - 16 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 30284507653\/52 + -582348964. Let k = s - 45412. Find the common denominator of k and -10.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 33655 and 465455.\nAnswer: 635","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -633 - -640. Let o(h) = 2*h - 11. Let v(b) = b. Let m(k) = -o(k) + 6*v(k). Let j be m(w). Round j to the nearest 10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 4\/2825 - -217397\/90400. Let t = -1 - 5. What is the common denominator of (-1 + (-1185)\/t)\/(-9) and a?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ccc when three letters picked without replacement from {s: 1, c: 1, i: 2}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let t(i) = 733*i + 6. Is t(1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -30765.586 + 4752691.\nAnswer: 4721925.414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 45340268 to the nearest integer?\nAnswer: 6734","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -171 - -171. Sort -0.2, 7\/4, v in ascending order.\nAnswer: -0.2, v, 7\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*m - 5 - 5 = 0. Suppose -m = -3*w + 2*j + 9, -4*w = 2*j. Solve v - 2 = w*r, -5*v - 5*r = 51 - 16 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00536805 rounded to five decimal places?\nAnswer: 0.00537","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -5?  (a) -3479  (b) -1\/3  (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*v = v - 25. Let b = v - -17. Suppose 0 = p + 5*w - b, -w + 2 = -0. Is p a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 770387 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let b(f) = -43*f - 202. What are the prime factors of b(-30)?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 6.217158 kilograms in milligrams?\nAnswer: 6217158","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 10165\/1338 - -31\/446. Let z(s) be the first derivative of 19\/2*s**2 - k*s**3 - 1 + 0*s. What is the second derivative of z(a) wrt a?\nAnswer: -46","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -i + 48 - 5 = 4*o, 2*o + 129 = 3*i. Find the second derivative of i + 0*m - 43 + m**4 - 5*m wrt m.\nAnswer: 12*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 3 + -571?\nAnswer: -567","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -356 - -214. Let j = f + 228. Find the second derivative of -115*c**4 + j*c**4 - 26*c + 10*c wrt c.\nAnswer: -348*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -5*-400067.2\nAnswer: 2000336","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: -0.67 * 232952\nAnswer: -156077.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -7.34811 + 7.878. Let n = u + -0.53. What is n rounded to four decimal places?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: (594\/(-1566))\/((-319)\/58)\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-2)\/4*(709 - -1). Let b = -655 - k. Round b to the nearest 100.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 15461 - -2?\nAnswer: 15463","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -2  (b) -427  (c) 1\/2  (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 37*k + 3*k + 40 = 0 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 44 times -1?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 0 - -9. Is ((-22)\/1)\/(8 - p) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 23 - ((-334 - -349) + (-2 - 1)) - 102?\nAnswer: -91","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 1\/2, -0.1, 36, -5056.9, -2\/17?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*n - 4*a - 240, 333 = 4*n - 4*a + 3*a. Let w = 153 + -57. What is the greatest common divisor of n and w?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*i**2 + 3*i**2 + 2*i**2)*(10*i**2 + 2*i + 6*i**2 - 13*i**2)*(-1 - 1 + 1).\nAnswer: -6*i**4 - 4*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Factor -n**3\/5 + 6*n**2\/5 + 36*n\/5 - 216\/5.\nAnswer: -(n - 6)**2*(n + 6)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) -11  (b) -2\/81  (c) -2\/57  (d) 1\/3  (e) -2\/3  (f) -1\/43  (g) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*y - 17 + 1 = 0. Suppose 2*p + 0*p - y = 0. Let m(a) = -a**2 + 3*a. Give m(p).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {h: 5, s: 7, e: 1}. Give prob of sequence hhs.\nAnswer: 35\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Express -45014*u - 1 + 44097*u + 1 as o*u + a and give o.\nAnswer: -917","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let q(j) = 7*j - 9. Give q(2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -9, -11, -23, -51, -101, -179, -291?\nAnswer: -443","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1\/4?  (a) -0.2  (b) 1  (c) -44  (d) -63  (e) -28\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let a(f) = 10*f**2 + 101*f - 100. Let b(s) = 2*s**2 + 20*s - 20. Let i(g) = -2*a(g) + 11*b(g). Find n such that i(n) = 0.\nAnswer: -10, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-36176)\/1938*72\/(-14))\/((-2)\/((-3)\/3)).\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o(t) = 3100*t**2 + 5*t + 2. Let u be o(4). Let r = -28485 + u. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*m = 3*c + m - 54, -2*m = 0. Solve -2*k + 5*p = -16, -20*k = -c*k - p for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 226370 to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let v(s) = -2*s**2 - 8*s + 2. Let l(x) = 3*x**2 + 14*x - 4. Give -6*l(m) - 10*v(m).\nAnswer: 2*m**2 - 4*m + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -2*j**4*x - 3*j**3*x - 18*j**3 - 2*j**2 + 23*j + 2*x wrt j?\nAnswer: -48*j*x - 18*x - 108","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 1311 and 323?\nAnswer: 22287","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*b - 4*k - 16 = 0, -30 = 5*b - 237*k + 232*k for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 944530238?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*a - 1 = 15. Suppose 35 = a*i - 1. Suppose -4*p = -i*p + 10. What is the units digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(117)\/(sqrt(27)\/(-1*sqrt(3))) + 3.\nAnswer: -sqrt(13) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 87\/7 bigger than 12?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 5\/(-5) - (0 - 3). Let w = 8 - 64. Let m = w - -58. Solve g*b + m = -8 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(m) = m - 57. What is i(25)?\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = j + 5, 3*n - 5*j = 8742 - 8729 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -w = -y + 1, 3*w + 23*y = w + 24*y - 34 + 37 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let z(p) = -p. Let b(l) be the third derivative of 0*l**3 + 0*l - 31\/24*l**4 + l**2 - 6. Give b(z(g)).\nAnswer: 31*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -149 or -250\/257?\nAnswer: -149","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -0.1 - -0.2. Suppose 5*d + 0*d = 20. What is the nearest to u in -0.5, -3, d?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 16106266 to the power of 1\/2, to the nearest integer?\nAnswer: 4013","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 18\/5 + -4. Let p = -2912\/205 + 1\/205. Let n = p + 14. Which is the closest to g?  (a) -4  (b) 3  (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 455 and 11821985?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is -130834813.8 - -63530?\nAnswer: -130771283.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let t(x) = -6438*x + 32198. Calculate t(5).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*n + 8 - 8.\nAnswer: -2*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 8 = -14*n - 1 - 5 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -63 + 67. Let p(r) = r - r - w*r + 3*r + 17. Let u be p(3). What is the highest common divisor of u and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(x) = 2*x**2 + 12*x - 1. Is 4 a factor of w(-11)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.6 and 20940.\nAnswer: -12564","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 503\/21 - 179\/14. Let d = 6\/995 - 73648\/2985. Find the common denominator of d and h.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(p) = -p**3 + 6*p**2 + 69. What is w(7)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 50 - (55 + (-29 - -2))?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(17) + 1 + sqrt(17))*2)**2*-3.\nAnswer: -828 - 48*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let q(o) be the second derivative of o**9\/1890 + o**5\/60 + 2*o**4\/3 + 5*o. Let w(i) be the third derivative of q(i). What is the derivative of w(x) wrt x?\nAnswer: 32*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-42)\/228)\/(-6*(-91)\/(-312)).\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 61\/2 of a millennium in years?\nAnswer: 30500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1 in -12\/23, -2, -0.2, -2\/19?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1\/2 in 49, -0.4, 351\/7?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 410878344 to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -79\/210 and -77\/291.\nAnswer: 20370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 956, 951, 946, 941, 936?\n\"Answer: -5*n + 961","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 110029614 and 1090.\nAnswer: 218","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-6 + 6 - 3*t)*(-3 - 1 + 3)*(0 + 0 - 2).\nAnswer: -6*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 632217954 to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Product of 34.95 and 123.\nAnswer: 4298.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is (351\/13)\/(-9) - -8*87\/234?\nAnswer: -1\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -16*k + 0*k + 63*k + 97 - 1.\nAnswer: 47*k + 96","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-176830)\/4 - 4\/8. Let f = 83792 - z. What is f rounded to the nearest 10000?\nAnswer: 130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -13 - -12.7. Suppose -30 = -2*v + 3*h, 10*v - h - 60 = 6*v. Let j be (10\/(-15))\/((-5)\/v). What is the nearest to 0 in y, j, 1\/3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -46*h**4 + 960*h**3 + 168154*h**2?\nAnswer: -1104*h + 5760","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -64391, -64389, -64387?\nAnswer: -64385","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (((-2)\/(-2))\/((-6)\/66))\/(20\/20).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -124553, -124572, -124591, -124610, -124629?\nAnswer: -124648","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 11080, 44391, 99922, 177679, 277668, 399895?\n\"Answer: v**3 + 11104*v**2 - 8*v - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -55256 - 50461?\nAnswer: -136050","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 12\/(-45)*165\/(-374).\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 859 is divided by 108?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Determine s, given that -4*s**4 - 16904*s**3 + 33840*s**2 + 67616*s - 135296 = 0.\nAnswer: -4228, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence www when three letters picked without replacement from {w: 7, i: 10, d: 1}?\nAnswer: 35\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -101361507, -101361506, -101361507, -101361510, -101361515?\nAnswer: -101361522","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 59\/30 and -10\/99.\nAnswer: 990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 0.6  (b) 6\/7  (c) 0.1  (d) 2\/67\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 61 a factor of -427*(0 - (-9)\/(-9))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 0.02 >= -2\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-6)\/((-2)\/6*(-2817)\/(-5947)).\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(z) = 11*z**2. Suppose -1 + 4 = 3*r. What is the remainder when 54 is divided by h(r)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 267809658?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: -198 divided by 9\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 944.233 weeks in nanoseconds?\nAnswer: 571072118400000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i(d) = 12*d**2 - 20*d**2 + 10*d**2. Let n(c) be the first derivative of -1\/2*c**2 + 2 + 0*c. Give n(i(p)).\nAnswer: -2*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 126*k**2 - 379.\nAnswer: 252*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -1095365, -1095278, -1095121, -1094858, -1094453, -1093870, -1093073, -1092026?\nAnswer: -1090693","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 5096 and 65520.\nAnswer: 458640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Divide -845 by -121.\nAnswer: 845\/121","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -22\/87 and -51\/8011220.\nAnswer: 696976140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 o when two letters picked without replacement from {t: 2, o: 9}?\nAnswer: 36\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 40570 is divided by 63?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let a(t) = -1. Let l(n) = n**2 + 5*n - 6. Let b be l(4). Let i be 5*3\/b*4. Let h(m) = 0 - m + 1 + 1. Give i*h(r) + 3*a(r).\nAnswer: -2*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 35552 - 33747. Is 19 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -55.5 - -7.5. Let a = f - -62. Is a not equal to -0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -18*j**2 - 3*j**2 + 8*j**2 + 4*j**2 + 7*j**2.\nAnswer: -2*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*g = -5*w - 0*w + 53, 4*g = -16. Which is greater: w or 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 2 and -3.77?\nAnswer: 5.77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -3 - -5. Suppose -172 = -h*n - 2*n. What is the remainder when n is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -1254 - -1256. Let x(o) = o**2 - 3. Let m(g) = 2*g**2 - 2. Determine p*m(h) - 3*x(h).\nAnswer: h**2 + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f*(f\/(f\/f**(-2\/7)*f))\/f*f)\/f*f*f**(-2\/13) assuming f is positive.\nAnswer: f**(-40\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (15*60\/(-675))\/(4\/(-21))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -33 + 38. Let l = -118 + 594\/5. Put l, g, -0.3 in decreasing order.\nAnswer: g, l, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(v) = v**3 + 13*v**2 + 68*v + 163. Determine i(-6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -r = -l + 2 - 1, -25 = -5*r - 5*l. Solve -4 - 1 = w, r*m + 5*w + 19 = 0 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be -4 + (-1)\/(-3 - 56\/(-20)). Put -4, 6, p in ascending order.\nAnswer: -4, p, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is twenty-seven quarters of a millennium in decades?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.7588 less than -9.60149?\nAnswer: -8.84269","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(6)\/sqrt(3)*-4*-4 + -2.\nAnswer: -2 + 16*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let -m**2\/4 + 2298673*m\/2 - 5283897560929\/4 = 0. Calculate m.\nAnswer: 2298673","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*s = 4786*a - 4788*a - 68, 3*s = 5*a - 51 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let u(m) = -2*m**2. Let r(v) be the second derivative of -28*v**3 - 3*v**2\/2 + 1106*v. Give r(u(k)).\nAnswer: 336*k**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1741.\nAnswer: 1741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 17 + -10. Let l be (-24)\/(-14) - (-2)\/w. Let t(p) = p - 2. Suppose 3*g + 5 = -2*y, -y - 4*g - 1 = -6. Let u(a) = 4*a - 7. Determine l*u(x) + y*t(x).\nAnswer: x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.000056061685 rounded to five decimal places?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*v - 4*p = 31, -210*p + 206*p + 47 = 3*v. What is the remainder when 172 is divided by v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -9 + 2 + 16 + -16.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(m) = m**3 - 376*m**2 - 1134*m + 1218. Give p(379).\nAnswer: 2355","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h**24\/h*h**14)**(5\/8) assuming h is positive.\nAnswer: h**(185\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 21073 is divided by 479?\nAnswer: 476","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify u**(2\/3)\/(u**(7\/3)*u) assuming u is positive.\nAnswer: u**(-8\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2512996 is divided by 244.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, -3, -1, -453, 3 in descending order.\nAnswer: 3, -1, -3, -5, -453","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is -2\/9 <= 73.91?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let m(y) = 4*y + 3. Give m(0).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m*(m*m\/(m**(-4\/13)*m))\/m*m*m**(-4)*m*m**(5\/3)\/(((m*m**(1\/28)\/m)\/m)\/m))**(-28) assuming m is positive.\nAnswer: m**(-3209\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2 + 8 + -17 + 4.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*h - k - 17 = 3*k, -2*h = -4*k - 22. Let d be 497\/28 + h\/4. Suppose -4*z - 3*p = -101, 0 = -5*z - 5*p + 107 + d. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 13658840 to the nearest integer?\nAnswer: 239","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*g + 11 = -5*h, h - 9*g = -8*g - 4. Let l = -11 + 13. Put 3, l, -3, h in descending order.\nAnswer: 3, l, h, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4642361 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 19 - (84 - 244) - 74?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is (-4)\/6*72\/(-8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 109439.\nAnswer: 11, 9949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -235?  (a) 1  (b) -1\/5  (c) 4  (d) 0.1  (e) -3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 871705993 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"}
{"text":"Question: What is -0.1 times -3066?\nAnswer: 306.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -1 + 224001?\nAnswer: 224000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let r(i) = -3*i. Let s be 9\/(-4)*(-24)\/9. Let t(n) = -n - 3. Let b be t(s). Is 10 a factor of r(b)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (16\/((-128)\/(-6)))\/(15\/8)*-1. What is the closest to 0.3 in g, -5, -5\/3, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 4\/(-12) + (-5)\/3. Let p be 0\/(o - (-3 - 0)). Solve 4*x - 5*u + 5 = x, p = 5*u - 5 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 487 = -431*r - 2961 for r.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2266*i + 4347 = 2081*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 60*t**4 + 16 wrt t.\nAnswer: 240*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 6924648188.\nAnswer: 2, 29, 31, 1925653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let r(m) = 7*m**2 - 2*m + 7. What is the tens digit of r(-3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 q and 1 f when two letters picked without replacement from qkkkqfqkfkqkkqqfkq?\nAnswer: 7\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let h(x) be the first derivative of -2*x**3\/3 + 2998*x**2 - 4494002*x + 5772. Let h(q) = 0. Calculate q.\nAnswer: 1499","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 7017501?\nAnswer: 3, 31, 61, 1237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 9 + -534a71?\nAnswer: -534a68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*b + 0*b + 4*k = -308, -5*k = 10. Let w be ((-56)\/b)\/(12\/(-10)). Which is bigger: w or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -1135, -1104, -1075, -1048, -1023?\n\"Answer: -y**2 + 34*y - 1168","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from lnllnnlllnl. What is prob of picking 4 n?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -2  (b) 0.1  (c) -679  (d) 0  (e) 9  (f) -0.016\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let i(k) = 4*k**3 + 3*k**2 + 10*k + 807. Let f(s) = s**3 + s**2 + 3*s - 2. Determine -3*f(n) + i(n).\nAnswer: n**3 + n + 813","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Does 256 divide 87964?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*m - 24 = -14. Solve -4*p = 2*o - 28, -5*o + m = -3*p - 3 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (360 + 549 - 129)*(4 - 4 - p) + 6 - 6 + 6*p.\nAnswer: -774*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 163 and 18256.\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-78)\/12 - -5)*(-8)\/(-9)*3?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 793?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 48888 a multiple of 378?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 73609.38t in nanograms?\nAnswer: 73609380000000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -10*7919.\nAnswer: -79190","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -30328, -29732, -29134, -28534, -27932, -27328?\n\"Answer: m**2 + 593*m - 30922","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -2.9 + 61.9. Let c = q + -41. Put c, -2\/13, -1\/5 in decreasing order.\nAnswer: c, -2\/13, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 275 = -41*b - 51*b + 67*b for b.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let a(l) be the third derivative of l**7\/105 + l**3\/6 + 3*l**2. What is the first derivative of a(b) wrt b?\nAnswer: 8*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 3\/(-1) - (-8 + -2). Suppose n*k - 3385 = -172. What is the tens digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r*r**(-6\/7)*r*r\/(r*r**(-1)))\/(r**(-3)*r*r**3)*r**3*r**0\/r*(r**6*r)\/(r**(-1\/5)\/r) assuming r is positive.\nAnswer: r**(397\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -u - 3*u - 3*l = 54, -u + 6*l - 54 = 0. Let k(m) = -m**2 - 24*m - 108. What is k(u)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q*q\/q**(5\/2)*(q*q**(3\/4))\/q*q)**4 assuming q is positive.\nAnswer: q**5","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -8629\/6 - -1438. Sort -13\/2, d, -0.1, -3.\nAnswer: -13\/2, -3, d, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 136 and 68?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 23249 != 0.007?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 767 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: Suppose -352 = 7*s + 15*s. Put s, 4, 1, 2 in descending order.\nAnswer: 4, 2, 1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -79572, -159074, -238590, -318126, -397688, -477282?\n\"Answer: -h**3 - h**2 - 79492*h - 78","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 426382 and 66.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*l**3\/5 + 20786*l**2\/5 - 41475156*l\/5 = 0 for l.\nAnswer: -12106, 0, 1713","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -7 - -5. Let k be 12 + (4 - 15\/3). Let z(s) = k - 11 + 3*s. Let a(y) = y**2 + 13*y. Determine o*a(c) + 9*z(c).\nAnswer: -2*c**2 + c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1710 in -1507, 0.5, 2\/25?\nAnswer: -1507","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 6358 greater than or equal to -854?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Put 2\/23, 4.664, -2, -1\/7 in descending order.\nAnswer: 4.664, 2\/23, -1\/7, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let z(u) = u**2 + 8*u - 46. Let m be z(4). Let h be (-81)\/9*m\/(-9). Solve 0 = -4*n + 20, 10 + 23 = -h*q + 5*n for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 45805948?\nAnswer: 2, 59, 194093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((s**(-2))**(-34)\/(s**(-1)\/s**(2\/35)))\/((s**(-4\/3)\/(s\/(s\/s**(1\/4))*s))\/(s**(-2\/3)\/s*s*s)**41) assuming s is positive.\nAnswer: s**(11943\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3*10\/24*(-164)\/410.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00585521 rounded to 5 dps?\nAnswer: -0.00586","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00008979605477 to five dps.\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 927?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -18257*s**6 - 2617*s**2 - 4 wrt s.\nAnswer: -2190840*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(360)\/(-2*sqrt(12)) + sqrt(30) - (sqrt(480) + sqrt(480)*2))*-4)\/((sqrt(768)*-2)\/(sqrt(72)\/(sqrt(9)*1 + sqrt(9)))).\nAnswer: -23*sqrt(5)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 739105628?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 21.2?  (a) -0.11  (b) 1  (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-30)\/5*(20\/6)\/5.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 16 in 4, -2.76, 2, 1\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Do 2\/3 and 85\/4 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let l(z) = 371587 - 2*z**2 - 371587 - 2*z. Let i(x) = 9*x. Determine i(l(v)).\nAnswer: -18*v**2 - 18*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*a - 20 = -4*p, 5*p - 25 = -287*a + 289*a for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*f + 0*f = -84. What is the remainder when f is divided by (-40)\/(-30) + (-884)\/(-156)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(s) = 9 + 0 - s - 9. Suppose 4*d + 2*i = 6*i - 8, 4*i - 6 = 2*d. Let n(j) be the first derivative of j**2\/2 - 7415. What is d*m(y) + n(y)?\nAnswer: 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((5 + (sqrt(52) - ((2*sqrt(156))\/sqrt(3) + sqrt(52) - sqrt(52))) - -1*(sqrt(4212) + -1))*3)**2.\nAnswer: 1152*sqrt(13) + 30096","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -137 - -257. Let y be l\/(-24) + (-459)\/(-93). What is the biggest value in 0, 5, y?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(85) - (sqrt(85) + (sqrt(85) - 2*(sqrt(85) + 2*sqrt(85)))))\/(1*sqrt(605)))**2.\nAnswer: 425\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-72)\/32*(-4)\/3. Suppose 0 = i - 9 + 2. Let g be i\/(-14)*f*-2. Solve 2*c = c - g for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12*b + 3*b + 445500 = 0. Suppose 13*a - b = 4*a. What is a rounded to the nearest ten thousand?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1183573 divided by -2.\nAnswer: 1183573\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -16\/7 in -2, 4, -2\/59, 0.3, 2\/21?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Convert 12.47491km to centimeters.\nAnswer: 1247491","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, 215, -5, -1 in ascending order.\nAnswer: -5, -1, 0, 215","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 101\/22 and -69\/770.\nAnswer: 770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 12 + 7\/(-56)*296.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence mubk when four letters picked without replacement from {m: 1, b: 1, k: 2, u: 1}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 51 + (-5)\/10*2 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of (18\/(-3))\/(3\/(-2))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -15362.7, -2\/11, 0.5, -0.5, -4 in ascending order.\nAnswer: -15362.7, -4, -0.5, -2\/11, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 2 - (-68)\/(8 - -9). Which is the third smallest value?  (a) 0  (b) 3\/7  (c) 8  (d) p\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in 1\/10 of a centimeter?\nAnswer: 1000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i(t) be the second derivative of -3*t**5\/140 - t**4\/14 - t**3\/14 + 10*t. Factor i(f).\nAnswer: -3*f*(f + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4 + 4 + s)*(7*s + 5*s + s) - 21*s**2 - 19*s**2 + 37*s**2 + 0*s**2 + 3*s**2 - 6*s**2.\nAnswer: 7*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from tuttumut. What is prob of picking 2 u?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -c**2 - c + c + (-125 - 214 + 14350*c - 14349*c)*(-26*c + 11*c + 5*c) to the form r*c + f + o*c**2 and give r.\nAnswer: 3390","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -110011 - 1010011101101110010111010?\nAnswer: -1010011101101110011101101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 594712 divided by 8.\nAnswer: 74339","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: 6732720 - 134\nAnswer: 6732586","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: -1 + (-2 + 1 - -1)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put -2\/3, -1\/4, 145\/3 in increasing order.\nAnswer: -2\/3, -1\/4, 145\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 59\/99 and -125\/66.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 30065253\/11 or 2733204?\nAnswer: 2733204","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 104, 219, 334, 449?\n\"Answer: 115*b - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 2, -3, 54, -104?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let g(t) = -3*t**2 - 2*t + 4. Let f(a) = -a**2 + 4*a. Let x be f(3). Let o(i) = 3*i**2 + 2*i - 4. Let c(q) = x*o(q) + 2*g(q). Is c(-4) a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(q) = -30*q - 1986. What is the remainder when s(-70) is divided by 61?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1288.\nAnswer: 2, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 5709, 5642, 5575?\nAnswer: 5508","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -6.7 + 6.8. Which is the nearest to m?  (a) 2\/3  (b) 1.1  (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 47*l = 43*l - 5*n - 12, -n + 3 = -l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*p + p = -1, -p - 139 = 3*z. Let i be 932\/(-20) + (-120)\/75*(-1)\/(-4). Are i and z equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 40 + -35. Suppose -2*f - f = -384. Suppose s*j - f - 47 = 0. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence tr when two letters picked without replacement from {r: 1, i: 5, y: 3, t: 7}?\nAnswer: 7\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let n(g) = 3*g**2 + 27*g - 1697. Give n(20).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -23*x**2 - 83*x + 83*x to the form f*x + h + s*x**2 and give s.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:18 AM and 7:55 AM?\nAnswer: 217","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 0*((-138)\/437)\/6.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -12 - 476. Let x = -486 - t. Solve -4*c = u - 7 - 10, -x*c + 6 = 0 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1065761867.\nAnswer: 1065761867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 100771557?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: -602 (base 7) to base 11\nAnswer: -24a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -1262604 divided by 6?\nAnswer: -210434","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 l and 2 j when four letters picked without replacement from cjjll?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Round 4957.363 to the nearest one thousand.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from xxxxxxxzzz. What is prob of sequence xzxz?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 2.786319 centuries in months?\nAnswer: 3343.5828","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -308190 + 307735.791. Let m = j + 454. Round m to 1 dp.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*n + 4 = 3424*q - 3423*q, 3*n = 4*q - 16 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0?  (a) -0.79  (b) 0  (c) 1\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 490 minutes after 3:37 PM?\nAnswer: 11:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 99\/22 - -3*(-1)\/2. Suppose 5*d - 2*q - 10 - 2 = 0, -10 = -x*d + 4*q. Solve -b - d = -0*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -72d330 + 96?\nAnswer: -72d278","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 2904 and 4180?\nAnswer: 275880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 3000025419 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let m(s) be the second derivative of s**5\/20 + s**4\/4 - 4*s. Find the third derivative of m(c) wrt c.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 121 and 19.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h**(-3)\/(h\/h**(-1))*(((h*h*h**(-1)*h)\/h)\/h)**(-20))**2 assuming h is positive.\nAnswer: h**(-10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 34877 and 36.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: (2328\/(-28518))\/(60\/(-14) - -4)\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 13 - 19 - (-2 + 1 + 0 - -8).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-14)\/175*6\/(48\/10)?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence pp when two letters picked without replacement from {z: 2, p: 5, g: 8}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 10*p + 174 - 224. Solve -k = -5*m - p*k - 7, -14 = 2*m - 4*k for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(50) + 3 + sqrt(8)\/(sqrt(12)\/sqrt(3)).\nAnswer: 3 + 6*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Divide -8 by -7.\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let g(k) = -2*k**3 + 2*k**2 - 2*k + 1. Give g(1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from oggoogo. What is prob of picking 1 o and 1 g?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-5 - -1) + (25 - (12 - -9)) - -7.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert 316600.6 centuries to years.\nAnswer: 31660060","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5 + 17 = 2*u. Calculate the highest common divisor of u and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -11271 * -9.\nAnswer: 101439","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 1 - 1. Let y(g) = -g. Let h(v) = -5. Let j(l) = -h(l) + 2*y(l). Let s(u) = -u + 2. Let r(x) = 6*j(x) - 11*s(x). What is r(n)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose f + 2*u - u = -2, -8 = -4*f + 4*u. Suppose -4*a + 18 = 2*m - f*m, -4*m = 2*a - 12. Put -4, 21, a in decreasing order.\nAnswer: 21, a, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-4)\/(-6) - (-260)\/(-12). Let c = q - -41. What is the remainder when 57 is divided by c?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) -3  (b) 0.5  (c) -2  (d) -2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let g(p) = 17*p**3 + 115*p**2 - 7. What is the remainder when g(-6) is divided by 79?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence hhx when three letters picked without replacement from vhvvwvhvwhwvvhvxwvv.\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 11.1 - 0.1. Let l = 74 - t. Let y = -69.9 + l. What is y rounded to the nearest integer?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 12 (base 3) in base 9?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 1, 0, -1\/4, -6496?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -2, -2, -4, -8?\n\"Answer: -u**2 + 3*u - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -u - 5*p + 691 = 0, -p - 4 = -3. Let l = u + -377. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((k**(-5\/7)*k)\/k**(-1\/16))\/((k**11*k)\/(k*k*k*k**14*k)) assuming k is positive.\nAnswer: k**(711\/112)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 3684202177 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Factor -y**2 - 53018*y - 702727081.\nAnswer: -(y + 26509)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 225 and 24.\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m**(1\/7)\/m**(1\/13))\/(m**(-12)*m*m\/(m\/(m**4*m*m))*m*m) assuming m is positive.\nAnswer: m**(279\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 778489 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*o = o + 12. Suppose 25 = o*x + x - d, 24 = 3*x + d. Suppose 0 = -4*f + x + 1. Solve 5*n - 35 = -5*k, -3*k - f*n = -6*k + 1 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(d) = 257*d + 519. Let s be f(-2). Solve -4\/3*p**4 + 0 - 2\/9*p**s + 0*p**2 + 0*p**3 + 0*p = 0 for p.\nAnswer: -6, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 27*k - 3 - 17*k + 1 + (-3*k + 4*k + k)*(0 + 4 - 2).\nAnswer: 14*k - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, 103, -4.\nAnswer: -4, 1, 103","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -10101100011111101 + -10?\nAnswer: -10101100011111111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4\/(14\/1050*-20)*3\/(-5).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h(m) = m**2 + 2*m + 14. Let a be h(6). Suppose -8*w - a = -854. What is the tens digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (0*(-3)\/9)\/((-3)\/3).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*s**3\/7 - 432*s**2\/7 - 31104*s\/7 - 746496\/7 = 0. What is s?\nAnswer: -72","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 80.20152 years in decades?\nAnswer: 8.020152","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 p when three letters picked without replacement from fffffppffpf?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -2050 or 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many hours are there in 7123907.7 seconds?\nAnswer: 1978.86325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 534995480 divided by 62536?\nAnswer: 8555","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -50*z**3 - 28*z**3 + 145*z**3 - 32*z**3 - 28*z**3 - 37*z**3.\nAnswer: -30*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-1)\/(-15) - (15\/35 + 114\/(-3990)). Let r be 34\/(-4) + 2\/4. Which is the biggest value?  (a) -0.4  (b) r  (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((q\/(q*q*q**1)*q)\/q**(-2\/17)*q*q*q**(-6)*q*q*q**(2\/11))\/(((q*q\/(q*q**(-1)))\/q)\/q**(-1\/9)*q**(-1\/4)\/q*q\/q**8) assuming q is positive.\nAnswer: q**(29879\/6732)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 k and 1 g when two letters picked without replacement from qqppqkkqgpgqpgypp?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -43 + (-109 - -213) + -163.\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 22, -752, -2042, -3848, -6170?\nAnswer: -9008","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, 4, -4, -6 in increasing order.\nAnswer: -6, -4, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5 + (((sqrt(975) + (sqrt(975) - sqrt(975)*2) + sqrt(975) - sqrt(975)) + sqrt(975))\/sqrt(3) + 0)**2.\nAnswer: 320","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -1\/13967214 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -432948 + 428618677\/990. Find the common denominator of -99\/40 and t.\nAnswer: 3960","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -67 - -67.08. Let p = t - -5.82. Let q = 5.8 - p. Put -0.2, q, 0.4, -0.4 in increasing order.\nAnswer: -0.4, -0.2, q, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 344 minutes before 2:06 AM?\nAnswer: 8:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-2)\/((-36)\/(-8) + -4). Let d be 6*(-3 - 14\/o). Suppose -5*c - 11 = 4*s, c - 6*c - d*s = 7. Calculate the remainder when 1 is divided by c.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 14672*f**2 + 14139*f**2 - 28791*f**2.\nAnswer: 20*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g*(g*g*g**(3\/5))\/g)**(-30) assuming g is positive.\nAnswer: g**(-78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2 + 1 - ((5 - -11) + (32 + 4 - 9)).\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 47366760?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let w(v) be the third derivative of -v**5\/60 + 89*v**4\/3 - 1231*v**3\/6 - v**2 - 1249. Differentiate w(q) with respect to q.\nAnswer: -2*q + 712","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-3)\/(-3))\/(2\/(-2)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 10279738, 10279739, 10279740, 10279741?\nAnswer: 10279742","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 2838*a**2*s**4 - 2*a**2*s + 3*a**2 + 688 wrt s.\nAnswer: 34056*a**2*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -24691b (base 12) in base 8?\nAnswer: -2204647","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 315, 1430, 3575, 6984, 11891, 18530, 27135?\nAnswer: 37940","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 12495 is divided by 457.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 0, 4, 9, -0.1, 5, -2\/5, 100\/139?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 3 + 5 + (-5 - 3) + 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*p + v - 15 = 24, 5*p + 3*v = 40. Suppose 4*x + 0*h - 4*h = 8, -5*h = -5. Suppose p = x*f - 13. Calculate the greatest common divisor of 32 and f.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*o + 10 = 0, 31 = 5*a + 2*o - 250. Let t be 11\/4 + -3 - 70\/8. What is the tens digit of a*(24\/t + 3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00002045262 to 5 decimal places.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 122903 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let d(u) be the first derivative of -u**2\/2 + 2*u + 2. Let r be d(-5). Suppose 3*m + 4 = r. Calculate the remainder when 1 is divided by m.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 50519 is divided by 4112.\nAnswer: 1175","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 2 + -3*(1 - 2). Suppose 5 = w*y - 5. Let d(q) = -3*q - 4 - 3 + y*q. Calculate d(0).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 595 minutes after 10:37 AM?\nAnswer: 8:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 352616?\nAnswer: 2, 11, 4007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 5 - ((-17 - (-17 + 9)) + 1 + 6) - 0.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3\/7, 6\/13, 3 in decreasing order.\nAnswer: 3, 6\/13, -3\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 128, 45, -36, -115, -192, -267, -340?\n\"Answer: q**2 - 86*q + 213","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g(o) = -o**2 + 6*o - 3. Suppose 25 + 5 = 5*t. Calculate g(t).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 249287 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: -14*(2\/2)\/((-12)\/240*-20)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*v - 147 + 417 = -3*z, 4*v = 2*z + 354. Suppose 4*r = 77 + v. Solve 5*j + r = -4*t, 5*j + 26 - 1 = 0 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1903*v + 20 = -1901*v. Solve 3*j + v = -5 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 5 (base 10) to base 4.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -56 divided by 4?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*t**3\/3 + 206*t**2 - 16218*t + 46818 = 0.\nAnswer: 3, 153","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let p be -5 - 5536\/(-32)*(-1 + 9). Suppose -p = -3*x + 448. List the prime factors of x.\nAnswer: 3, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 20 divide 4298107?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let t(d) = 4*d + 73. Let g be t(13). What is the greatest common factor of g and 275?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(7) + (sqrt(7) + 1 + sqrt(448))**2)*3.\nAnswer: 57*sqrt(7) + 1704","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence vvac when four letters picked without replacement from vabcabybyvbg?\nAnswer: 1\/2970","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -37 + 64. Let d = o + 3. Let g = d + -5. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -0.087 - -3.85. Let q = -0.237 - p. Which is the nearest to -5?  (a) -2  (b) q  (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*y - 6*y - 429. Let b = -36 - y. Suppose 0*n - 423 = -b*n + 3*f, -4*f - 278 = -2*n. Does 11 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.6952 and 0.15.\nAnswer: -0.10428","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 45 + -43. Let h(q) = -3*q - 14. Let f be h(-6). Let w be -3 + -3*f\/(-3). Which is the nearest to 1\/3?  (a) w  (b) t  (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(d) be the first derivative of 2*d**6\/3 + d**4\/2 - 51*d**2\/2 - 6. Find the second derivative of t(v) wrt v.\nAnswer: 80*v**3 + 12*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, -21, -5, 1, 4 in increasing order.\nAnswer: -21, -5, -4, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1 + 5*((sqrt(605) + (sqrt(605) - (-2 + sqrt(605) + -4)) - sqrt(605)) + (sqrt(605) - (5*sqrt(605) + 0))))**2.\nAnswer: -13640*sqrt(5) + 242961","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -251345*f + 141975882 wrt f.\nAnswer: -251345","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 383893 or 383896?\nAnswer: 383896","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: -1599213 divided by 23177\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -89*q + 89*q - 40*q**2 to x*q + m + o*q**2 and give o.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, 1, -3, -181, -76 in increasing order.\nAnswer: -181, -76, -4, -3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose z - 112 = 3*z. Let o be (z\/(-10))\/((-5)\/(-25)). Suppose 0*p - p - 116 = -5*l, p - o = -l. What is the units digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 3 + 0. Suppose 0 = 3*i + y*i - 24. Calculate the least common multiple of i and 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1290 (base 12) to base 2.\nAnswer: -100001001100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u(k) = -6*k. Give u(-1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -0.1 - -0.5. Which is the smallest value?  (a) -0.4  (b) -5  (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 566.\nAnswer: 2, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 4084 a factor of 300284268?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 5758919479 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -40, -60, -86, -118, -156, -200, -250?\n\"Answer: -3*o**2 - 11*o - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 40 a factor of 662?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*g - 9*g = 18504. Let p = 3465 + g. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(p) = 2*p**2 + 28*p - 6. Determine j(-13).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((k*k**(-6\/11))\/k)**(-39)*(k*k\/(k**(-3\/11)*k)*k)**(-5\/16) assuming k is positive.\nAnswer: k**(329\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -4, 5, 1\/2, 6\/5, 0.2905, 0?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let h(j) = -j**2 - 5*j + 2. Let a be h(-5). Sort 10, -4, a in increasing order.\nAnswer: -4, a, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3982993.\nAnswer: 7, 568999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 39*h - 52318430 - 202370683 + 11656713 = 0. Round h to the nearest 100000.\nAnswer: 6200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, -0.4, -7, -18, -5\/3, 3 in ascending order.\nAnswer: -18, -7, -3, -5\/3, -0.4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 380, 245, 110, -25?\nAnswer: -160","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00019539516 rounded to 6 dps?\nAnswer: 0.000195","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let b(g) = -25*g**2 + 2*g - 2. Suppose 47*c = -5192 - 683. Let k(v) = -1550*v**2 + 125*v - 125. What is c*b(l) + 2*k(l)?\nAnswer: 25*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 151 is divided by 91?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 6492434171 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8 = -2*o - 0*o. Suppose 3*z - o*p = -0*z + 21, -7 = -z - 3*p. Let v = z + -7. Solve -2*f = -v*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:42 AM and 3:33 PM?\nAnswer: 231","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -5 - -9. Suppose 0*r = -h*r + 152. Let c = -17 + r. Round c to the nearest 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 6 divide 289?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let r(d) = -7*d**2 - 4*d + 2. Let z(k) = 6*k**2 + 3*k - 1. Let j be -5 - ((-8)\/(-40) + 44\/(-20)). Calculate j*r(q) - 4*z(q).\nAnswer: -3*q**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 p, 1 k, and 1 r when four letters picked without replacement from kvkkdrpdddkkkpk?\nAnswer: 1\/195","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 98911 - 47883. What are the prime factors of a?\nAnswer: 2, 12757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(z) = 2. Let y be 28\/21*(-30)\/20. Let l(s) = s**2 - 1. What is y*l(c) - 2*j(c)?\nAnswer: -2*c**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-15*z - 21 + 35*z - 17*z)*(3*z + 2*z - 3*z) - 1604 + 176*z**2 + 1604.\nAnswer: 182*z**2 - 42*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 36872?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-18*11\/(-297))\/3?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 1 or 83?\nAnswer: 83","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 0 - 674a45?\nAnswer: -674a45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, 5, 1371, -142, -2, -4.\nAnswer: -142, -4, -2, -1, 5, 1371","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*p + z - 2, 20*p + 6 = 17*p + 3*z. Solve 5*v - 51 + 56 = p for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 2\/7  (b) -1  (c) 1\/3  (d) 110\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 6 and 44?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Find r such that -3*r + 20*r**3 - 8*r**3 + 0*r**5 - 3*r**5 - 6*r**3 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4*((24\/(-44))\/(20\/(-11)))\/1.\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -5*40.\nAnswer: -200","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Does 15 divide 280322865?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 3718, 7443, 11168, 14893?\n\"Answer: 3725*w - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -24563 = -118*t + 107*t. Does 60 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(y) = 2*y**2 - y - 3. Determine h(2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is -4170717 - 2.014?\nAnswer: -4170719.014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -428.053 - -427. Let s = d + -16.877. What is s rounded to the nearest integer?\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(z) = -z**2 + 3*z - 3. Suppose -2*p = 2*p + 5*a + 6, 0 = -3*a - 6. Let l be -3 - p*(-1)\/1. Let r be -1 - 0 - l*2. Determine v(r).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 1457984609?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4 + 0 + -8 + 7 - -21.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -91.2 + 91. Put d, -2\/5, 3.1, 0 in ascending order.\nAnswer: -2\/5, d, 0, 3.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(l) be the first derivative of -13*l**2\/2 + 385*l + 150. Does 9 divide u(20)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 1 + 353*p**2 - 353*p**2 - 4*p**4 + 2*p to the form c*p**2 + r*p + l + h*p**3 + z*p**4 and give z.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 3*l**3 - 18*l**2 + 88?\nAnswer: 9*l**2 - 36*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(209) + sqrt(209) + 2*sqrt(209)*2 + sqrt(209) - (sqrt(209) - 3*sqrt(209)*6 - sqrt(209)))\/(((1*sqrt(22) - sqrt(22))*-6 + sqrt(22))\/(sqrt(18)*2)).\nAnswer: 150*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 - -4 - (11 - 17 - (-14 + 3))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 31 + -321?\nAnswer: -250","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -32 - -12?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -2*q**4 - 4 + 1 + 7 with respect to q.\nAnswer: -8*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 141368331 is divided by 23561387.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Express (-5*z + 2*z + 5*z)*(-2 + 0 + 0) - 2*z + 8*z - 3*z + 0*z + 0*z + 19*z in the form i + w*z and give w.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {t: 7}. Give prob of sequence ttt.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*k**4 - 96*k**3 - 28232*k**2 - 56064*k.\nAnswer: 2*k*(k - 146)*(k + 2)*(k + 96)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2971181 + 2971181 - 57*w**2 + 58*w**2.\nAnswer: w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15 = 5*r - 3*g + 4, 3*r = 4*g. Let i(p) = p**3 - 3*p**2 + 2*p + 4. What are the prime factors of i(r)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 675 and 4875?\nAnswer: 43875","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Sort 82, 4, 1, -4, -1, -5.\nAnswer: -5, -4, -1, 1, 4, 82","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -2529986 and 7.\nAnswer: -17709902","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 871368 divided by -217842?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 7 - 7.1. What is the biggest value in 0.4, 1, j, 0.2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -437092\/7 not equal to -62443?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 77*v**3*w + 56*v**3 + 2934*v**2*w**2 + v*w - 305 with respect to w.\nAnswer: 77*v**3 + 5868*v**2*w + v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -306475638*r**4 + 43045826*r wrt r.\nAnswer: -3677707656*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 98*b - 740 = -54. Let a(c) = 5*c**2 + 2. Let t(z) be the second derivative of 0*z**3 + 4\/3*z**4 + 3*z + 7\/2*z**2 + 0. What is b*a(x) - 2*t(x)?\nAnswer: 3*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 192 a factor of 460608?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*h = 4*b - 540, 4*b + 0*b + 4*h = 532. Let g = 139 - b. Let w be (-2)\/3 + 548\/12. Calculate the highest common divisor of g and w.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 + 2 - 3)*(-t**2 + t**2 + t**4) + (8 + 9*t - 8)*(t**3 - 2*t**3 + 2*t**3).\nAnswer: 8*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -2201122210 + -2?\nAnswer: -2201122212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 4.207179 - -25446?\nAnswer: 25450.207179","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 - 2*m + 3)*(2*m**3 - 2*m**3 - 2*m**4 + (m + 3*m - 6*m)*(-m**3 + 0*m**3 + 3*m**3) + 107*m**4 + 95*m**4 + 119*m**4).\nAnswer: -630*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let r(q) be the third derivative of q**7\/1680 + q**6\/180 - 7*q**5\/20 + 43*q**2. Let s(p) be the third derivative of r(p). What is s(5)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(l) be the first derivative of -l**3\/3 + 538. Let t(p) = -142*p**2 + 2. What is t(o(v))?\nAnswer: -142*v**4 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let g(r) = -666*r - 17312. Determine g(-26).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 2993, -3, 1193, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.25 times 17181?\nAnswer: 4295.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is -11122 (base 3) in base 13?\nAnswer: -98","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 15193 to the power of 1\/5, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 0.1 - -0.1. Which is bigger: q or 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2 divided by 12.\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let p(o) = 1336*o**2 + o + 10. Let b be p(-8). Let c be b\/(-8) - (-3)\/(-4). Let a = c - -17889. What is a rounded to the nearest 1000?\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(i) = i + 1. Let o be f(1). Suppose -3*s = -o*s - 140. Suppose 2*z = -6, -4*z + s = j - 0*j. Calculate the highest common factor of 19 and j.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -102, -441, -1006, -1797?\nAnswer: -2814","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -752 plus -0.5?\nAnswer: -752.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1481*f + 693*f - 2747*f + 4944 + 2126 = 0 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: 0.1 times 14821.33\nAnswer: 1482.133","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 4 + (3 + -2 - -1). What is the third derivative of 3*i**2 + 4*i**2 - m*i**2 - 9*i**6 - 3*i**6 wrt i?\nAnswer: -1440*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12*j = -49 - 23. Differentiate -27*t + 10*t**4 + 14*t + 13*t - j with respect to t.\nAnswer: 40*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from pdppppdppddpdypyppp. Give prob of sequence dp.\nAnswer: 10\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1 in -1\/4, -2\/19, 1.17?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 5290259 is divided by 43.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let k(v) = -19*v**5 - 3*v**3 - 11*v + 3. Let m(t) = t**3 - t - 1. Let d(g) = -k(g) - 3*m(g). What is the second derivative of d(i) wrt i?\nAnswer: 380*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(t) = t**2 + 361836*t + 2894638. Give d(-8).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -107*h**5 + 52371*h**4 + 2*h**3 + 2*h**2 + 3*h - 1841274 wrt h.\nAnswer: -6420*h**2 + 1256904*h + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 284201 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -79\/389475 and -73\/43621200.\nAnswer: 43621200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Determine b so that 2*b**2\/9 + 16*b + 670\/9 = 0.\nAnswer: -67, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*(sqrt(7488) + 2)**2 + -3*((1*sqrt(325) - sqrt(325)) + 0))*-2.\nAnswer: 192*sqrt(13) + 14984","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 147796881?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: 5918.846654428 + 3\nAnswer: 5921.846654428","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4*(-1 + (sqrt(162) - 1*sqrt(162))))**2.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*j = 12*j. Suppose j = 3*c + 12, 0 = -5*b - c - 2*c - 32. Sort b, -1, -3, -9 in ascending order.\nAnswer: -9, b, -3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 112*c = 97*c + 139 + 56 for c.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let g be ((-5)\/3)\/(1\/3). Let o = 12 + -7. Sort -3, o, g.\nAnswer: g, -3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (j - 4*j + 5*j)*(-19 + 6 - 7) as f + z*j and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1*((sqrt(2299) + -1)*-3 + sqrt(2299) + 0)**2.\nAnswer: -132*sqrt(19) + 9205","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -254880 - 6*q**2 + 254880.\nAnswer: -6*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9 + 5 = -2*j. Let v(y) = -10*y + 3*y**2 + j*y**2 + 0 + 2 + 12*y. Let t(z) be the second derivative of -z**4\/12 - z**3\/6 - 3*z. Give 4*t(x) + v(x).\nAnswer: x**2 - 2*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 199 + 9*p**2 - 199 - 11*p wrt p.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 89*m**2 + 23*m**3 + 1\/4*m**4 + 0 + 88*m = 0. Calculate m.\nAnswer: -88, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 5916159.\nAnswer: 3, 73039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -0.2 + 0.6. Let c = x - 0.5. Let u = -172.03 + 172. Sort c, u, -0.5.\nAnswer: -0.5, c, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 37798 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1010011011 (base 2) to base 4.\nAnswer: 22123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify a**(2\/15)*a\/((a**(2\/9)*a)\/a)*a*a*a*(a**1)**(1\/9) assuming a is positive.\nAnswer: a**(181\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Determine y, given that 2*y**4\/9 - 19106*y**3\/9 + 15213152*y**2\/3 - 5068928*y = 0.\nAnswer: 0, 1, 4776","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 44  (b) -1  (c) 3  (d) -3\/3718  (e) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((l\/(l*(l**2*l)\/l)*l*l)**(2\/73)\/(l**(-9)\/l**(-5)))\/(l**(-1\/15)*l**(-2\/27))**(-47) assuming l is positive.\nAnswer: l**(-353\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 5 - 4. Let p(n) = 15*n + 1. Let k = 8 - -8. What is the smallest common multiple of k and p(m)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2438042.\nAnswer: 2, 19, 83, 773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -3?  (a) -42630  (b) 2  (c) 300\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let w(q) = 147*q**2 + 3*q - 2. Let c be w(1). Suppose -a = 2*u - c, -4*u - 5*a - 21 = -305. Let o = 4 - -22. Calculate the remainder when u is divided by o.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*a - 2*i = 142, -a + i + 2*i = -59. Let h = -25 - -38. Calculate the remainder when a is divided by h.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {f: 1, p: 2, w: 1, d: 1}. What is prob of sequence df?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -53 + 4 + -3 + 46 + -95 + 63?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -1 or 2\/415345?\nAnswer: 2\/415345","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -471\/4*z - 9\/2*z**2 - 39\/2 = 0. Calculate z.\nAnswer: -26, -1\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 6 minus 40465490039?\nAnswer: -40465490033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3970990 is divided by 177.\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose w - 2*h - 110 = -3*w, -3*w = -h - 84. Let c = w + -11. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -313565475 by 5.\nAnswer: -62713095","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 350*(-8)\/14000*-70.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Product of -3805753 and 0.3.\nAnswer: -1141725.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 139\/6 and -77\/1572.\nAnswer: 1572","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (9\/(-6))\/(6\/32). Let j be 1\/(2\/h) - -3. What is the units digit of 5 + -2 + j + 3?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*q + 2*q + 2*q**2 - 5*q**2 + 3*q**2 + q**2 + (-2*q + q + 3*q)*(-1 + q + 1) + q**2 - 1 + 1 - 62*q**2 - q**2 - 108*q**2.\nAnswer: -167*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: 4d9f (base 16) to base 11\nAnswer: 13a25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: -0.256 - 227.01\nAnswer: -227.266","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 0\/(((-2)\/8)\/((-2)\/(-8)))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(684) - (-3 + sqrt(684) - sqrt(684))*4)*-6.\nAnswer: -36*sqrt(19) - 72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let m(z) be the first derivative of z**4\/2 + 11*z**3\/3 + 2. Let q(u) = -u**3 - 6*u**2. Let g(o) = 3*m(o) + 5*q(o). Let v = 29 - 32. What is g(v)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u**4\/4 + 90543*u**3 + 10930713132*u**2 + 439866470715856*u = 0. What is u?\nAnswer: -120724, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 67 is divided by 12?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 21849915 is divided by 320?\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 32\/5 of a day in minutes?\nAnswer: 9216","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Add together -428819 and 1081226.\nAnswer: 652407","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: 3\/(6*7\/(-56))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(q) = -3*q**2. Let h(f) = 2*f**2 + 204 - 4037*f + 2014*f + 2023*f. Give h(w(r)).\nAnswer: 18*r**4 + 204","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 851.827106 - 852.827. Let v = -24 - -23. Let x = v - c. Round x to five dps.\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 171 - 78. Let a = u + -90. Let n = 0.6 + -0.3. What is the second smallest value in a, n, 1\/7, -2?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -15*f - 13*f**3 + 46*f - 15*f - 16*f.\nAnswer: -13*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3\/16, -12, -2, 2\/23, -3, 0.3.\nAnswer: -12, -3, -2, -3\/16, 2\/23, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in 9\/11, 0.2, -15, -1\/9, -3?\nAnswer: 9\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 90228 is divided by 57?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let n(w) = w**2 + 6*w + 7. Let m be n(-6). Let l be (3\/2)\/(m\/(-14)). List the prime factors of l + 4 + 3 + 63.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(x) = -x**3 - 2*x**2 + x - 6. What is c(0)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 11 - 13. Let u be a\/7 - 108\/14. Let y be ((-1)\/2)\/(4\/u). Solve 0 = -d + y for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 10628714*n**3*v**2 + 16555*n**3*v + 65*n**3 - 3*n**2*v + v wrt v?\nAnswer: 21257428*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-21)\/(-9) - 2\/6. Let a(l) = 3*l**3 - 3*l**2 + 2*l. Is 7 a factor of a(x)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -221, -419, -611, -797, -977, -1151, -1319?\n\"Answer: 3*g**2 - 207*g - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -77 - -118. Suppose h + 2*y - c = 0, -h - 2*y + y = -41. Is h a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(v) = -3*v**2 - 199*v + 154. What is w(-67)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 35 = o - 4*r, 4*r - 6*r = -10. Does 26 divide (-1 - o)*-2*(-19)\/(-38)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 7 (base 13) in base 2?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -2 + 6. Suppose a + r*t = 5*a - 100, -2*a + 3*t = -45. Let b = 29 - a. Do b and 1\/6 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 710412735?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:17 PM and 5:29 AM?\nAnswer: 492","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*y + 71 + 9 = 0. What is the lowest common multiple of 2 and 15\/y + 182\/8?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 15 and 3?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 35\/905558 and 16\/159.\nAnswer: 2716674","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 4 and 148?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 152 minutes after 7:24 PM?\nAnswer: 9:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from oogjjlccjcgoll. What is prob of picking 3 c and 1 g?\nAnswer: 2\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let o(y) be the third derivative of 0 + 2\/3*y**3 + 1\/30*y**5 + 0*y - 19*y**2 - 1\/4*y**4. Let a(i) = 4*i**2 - 11*i + 7. What is -4*a(d) + 7*o(d)?\nAnswer: -2*d**2 + 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let y(i) = -5*i + 4. Let k be y(-2). Let d be (9\/3 - 4)*7\/k. Which is the nearest to -0.1?  (a) d  (b) 2  (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (2\/6)\/(2\/84). Let t = d + -7. What is the units digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find h, given that -3*h**3\/7 - 24*h**2 + 345*h\/7 - 174\/7 = 0.\nAnswer: -58, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-102*a**5 + 16025*a**2 - 16025*a**2)*(-2 + 5 + 2 + (4 - 3 + 0)*(-6 + 1 + 4) - 3 - 1 + 3 - 3 + 2 + 0 + 4 - 2 - 1).\nAnswer: -306*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-33)\/(-126) + (-2)\/(-12). Suppose -3 = 2*y - 1. Let m = -10 + 6. What is the second biggest value in m, x, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 4 (base 6) to base 4\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: -8 + 12 + (1 - 0) + -1\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -15*i**3*n**4 - i**3*n + 4*i**3 - 127*i**2 + 3*i*n + 156*n**5 wrt n.\nAnswer: -180*i**3*n**2 + 3120*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let z(o) = 52*o + 91. Let u(h) = 25*h + 45. Let v(p) = 7*u(p) - 3*z(p). What is the first derivative of v(x) wrt x?\nAnswer: 19","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 58935 to the nearest 100.\nAnswer: 58900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:00 PM and 11:00 PM?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:49 PM and 11:13 PM?\nAnswer: 204","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 1075261527 from -0.3.\nAnswer: -1075261527.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the billions digit of 1221153017?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 457623.\nAnswer: 3, 17, 997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let r(m) = 3*m - 1. Let a be ((-5)\/2)\/(1\/(-2)). Calculate the remainder when r(a) is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 13665753.\nAnswer: 3, 168713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let 5*u**3 - 2590*u**2 - 102675*u = 0. Calculate u.\nAnswer: -37, 0, 555","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {q: 2, f: 1, v: 1, e: 3}. Give prob of picking 2 q and 1 f.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -4, 11, -8\/9, 1, 0.4?\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 c and 1 s when two letters picked without replacement from {z: 2, v: 2, e: 1, s: 2, c: 1}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -2, 2\/11, -0.4, 3\/4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let n(x) = -3*x**3 - 8*x**2 + 7*x - 13. Let r(z) = 13*z**3 + 32*z**2 - 28*z + 53. Let j(v) = 9*n(v) + 2*r(v). Let b = 0 + -9. What is the units digit of j(b)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*h - 3*j = -j - 14, 3*h = j + 13. Calculate the least common multiple of 16 and h.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*l = -3*i + i - 219413 + 219369, 4*i + 63 = 3*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 704302077 to the nearest integer?\nAnswer: 26539","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let o(k) = -3*k**2. Let y(q) = 2988*q - 3. Calculate y(o(l)).\nAnswer: -8964*l**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let p be -2 + 2\/((-4)\/6). Let l = -6 - p. What is the nearest to l in -3, -0.2, 3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -0.0101 + -2.0999. Let b = 2.110000031 + y. What is b rounded to seven dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: -4 + (-15 - -12) + (-1 - -1)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:41 PM and 8:49 PM?\nAnswer: 428","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f**(-8\/5)\/f*f)\/(f\/f**(-5\/8))*f\/f**(3\/10)*f*f*f\/((f*f*f*f\/f**(-4\/3))\/f)*f*f assuming f is positive.\nAnswer: f**(-223\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5*k + 7*k + 3*k)*(k**3 - 3*k + 3*k)*(-k + 3*k - k)*(1 - 2 + 0).\nAnswer: -5*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((i\/i**(-4))\/i)**(-17) assuming i is positive.\nAnswer: i**(-68)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 407764786.999897 - 407764559. Let g = -228 + q. Round g to four decimal places.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 0.03 and 3059782484?\nAnswer: 3059782483.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -j = -4*g - 23, j + 563 = -3*g + 551 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -21 + 22. Which is the nearest to q?  (a) -3  (b) 2  (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) -1  (b) 0.4  (c) 0.778  (d) -0.01  (e) -2\/7  (f) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 2000210 + -12?\nAnswer: 2000121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 4533 or -16\/3?\nAnswer: 4533","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence mk when two letters picked without replacement from cokmmak.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is -4 - ((-6 - -11) + (-5 - -1))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1 + -1 + sqrt(448))**2*5.\nAnswer: -160*sqrt(7) + 2260","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 3, 13, 2\/17, 1\/3, 205, 5?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, 1, 2, -9 in increasing order.\nAnswer: -9, 1, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 49\/810 and 31\/891.\nAnswer: 8910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-6*(sqrt(65) + sqrt(65)*-3)*-1)\/(sqrt(15)\/(sqrt(33)\/((sqrt(22)\/sqrt(2) - sqrt(11)) + sqrt(11)))).\nAnswer: -12*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {b: 1, p: 1, w: 1, t: 2, y: 1, h: 1}. Give prob of sequence hp.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-5)\/(-14) + (-2)\/(-14). Let v = -5 + 10. What is the nearest to 2\/3 in o, 0.2, v?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 31\/130 and 87\/3530.\nAnswer: 45890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let -2*i**5\/5 + 103576*i**4\/5 - 1341309164*i**3\/5 + 8045058656*i**2\/5 - 12066604114*i\/5 + 5362751048\/5 = 0. Calculate i.\nAnswer: 1, 4, 25891","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-7)\/(-21)*(-3)\/(-31). Is 0 at least k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -66, -79, -92, -105, -118, -131?\nAnswer: -144","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*k + 0*g + 21 = 2*g, -k - 7 = g for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 2\/(-8) - 3903585\/(-84) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a**(-17)\/(a\/(a**(-14)*a)))**(3\/19) assuming a is positive.\nAnswer: a**(-93\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Sort 10, 0, -11, -3, -37, 3 in ascending order.\nAnswer: -37, -11, -3, 0, 3, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 689 or 4829\/7?\nAnswer: 4829\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 131249573?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.001779 rounded to five decimal places?\nAnswer: -0.00178","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 2027, 2407, 2787, 3167, 3547, 3927?\n\"Answer: 380*n + 1647","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 115\/192 and 5\/48.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Express -40*r**2 + 12*r**3 + 4*r + 0 - 48*r**2 + 3 + 87*r**2 + r**4 - 2 in the form d*r**4 + n + q*r + a*r**2 + l*r**3 and give l.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -10001110101101110 + -10100011011?\nAnswer: -10010001010001001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let p(m) = 4*m**2 - 53*m + 20. Let c be (-138)\/26*(-656)\/246 + (-8)\/52. Give p(c).\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(o) = 3*o**3 - 16*o**2 + 135*o - 31. Is k(21) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 35287169 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 4 + 7 + -33 + (16 - (25 + -15)).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 23 and 69.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let n(l) = -16*l - 25. What is the remainder when n(-7) is divided by 44?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 25139045.\nAnswer: 5, 911, 5519","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 19 - 8. Solve -4*c + c - 2*n = -m, 3*c = -5*n + 23 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 15 - 0 - (-17 - (-4 + (13 - 15))).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l(r) = r**2 - 5*r - 2. Let i be l(6). Suppose i*u - 10 = -u. Suppose -u = -p - 0. What is the greatest common factor of p and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -o**4\/2 + 2*o**3 - 8*o + 8.\nAnswer: -(o - 2)**3*(o + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((q**(1\/3)\/q)**(-9)*((q*q**7*q)\/q)\/q**(-2\/9))**(6\/11))**21 assuming q is positive.\nAnswer: q**(1792\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Are 10325 and 19396 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*l - 3*o - 16 = 0, -5*l - 11*o = -9*o - 31. Let f(t) = 30*t - 122. Let w be f(l). Calculate the greatest common divisor of 658 and w.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1165894.\nAnswer: 2, 17, 53, 647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 z when two letters picked without replacement from fngnszzfngzn.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 38619 + -27104. Calculate the highest common factor of g and 735.\nAnswer: 245","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*j - 12 = 2*t + 4*t, 2*j - 22 = 4*t. Solve 0 = -148*d + 145*d + j for d.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -829873 >= -829866?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let w(z) = z**3 - 8*z**2 - z + 11. Let d be (-38)\/(-5) + (-8)\/(-20). Let b be w(d). Let t = -3 - -5. Solve -t + 13 = 2*r - s, -4*r = -b*s - 25 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 0 + -26 + -1 - (-1 + 4 + -13)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 26700.\nAnswer: 2, 3, 5, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: How many millennia are there in 1.0544727 months?\nAnswer: 0.000087872725","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r(p) = 127*p + 2 - 235*p + 106*p + p**2. Let d be 3\/4*-2*-2. Determine r(d).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 22 + -21.6. Put 3, h, 36 in ascending order.\nAnswer: h, 3, 36","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 7303*b + 8858*b + 1 + 7239*b + 5*b**2 + 2543*b.\nAnswer: 5*b**2 + 25943*b + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 1779007 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*n = -4*n - 3*f + 3, -2*n = 5*f - 26. Let m be 6 - 7\/((-7)\/n). Solve 3*g - 5*l + 10 = 2*g, 2*g + l = -m for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -3118, -6260, -9386, -12490, -15566, -18608, -21610, -24566?\n\"Answer: q**3 + 2*q**2 - 3155*q + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 178 is divided by 29.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -24*r + 22*r = 3*h - 870, 0 = -2*h + 5*r + 580. What are the prime factors of h?\nAnswer: 2, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -1217*i*t**3 - 8*i*t**2 - 6*i + 32069*t**3 + 2*t**2 - 3*t wrt i.\nAnswer: -1217*t**3 - 8*t**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -137506, -271523, -405528, -539515, -673478, -807411?\nAnswer: -941308","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -6 + 3 - 35*k**2 - 38*k**2 - 31*k**2 - 25*k**2 + 130*k**2 - 205*k.\nAnswer: k**2 - 205*k - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((c**1*c)\/c*c)\/(c**(2\/19)*c)*c**7\/(c\/(c**6\/c)))\/(c**9*c**(2\/5))**(16\/9) assuming c is positive.\nAnswer: c**(-4118\/855)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Work out 48 - -1.7007.\nAnswer: 49.7007","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -3, 10, 35, 72, 121?\n\"Answer: 6*v**2 - 5*v - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s(y) = y**2. Let i(b) = 7*b - 35. Let j(d) = 6*d - 36. Let m(q) = -4*i(q) + 5*j(q). What is m(s(o))?\nAnswer: 2*o**2 - 40","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ckk when three letters picked without replacement from {c: 3, k: 2, o: 2, y: 2}.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 753928327 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*h = -2*u - 5, h = -2*h + u + 7. Suppose -y = 5*f - 35, y = 3*f - 4*f + 19. Solve 2*z - q = -h, 2*z + 3*z + 5*q = -y for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence lz when two letters picked without replacement from {q: 6, i: 2, l: 1, z: 8, k: 1}?\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 260999 is divided by 723.\nAnswer: 719","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 52 - 35. Suppose 0 = 3*a + t - 707. Does 231 = a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.001 * -0.18\nAnswer: 0.00018","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose k - 2 = -4. Let a(c) = -c**2 + 15*c - 11. Let m(p) = -p + 1. Let s(w) = k*a(w) - 22*m(w). Suppose s(i) = 0. What is i?\nAnswer: 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 21300 + -21288.213. Let c = -12.29 + j. Round c to 1 decimal place.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 250 - 167. What is the remainder when a is divided by 22?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 452?\nAnswer: 2, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 291388708 to the power of 1\/3, to the nearest integer?\nAnswer: 663","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 + 16 - ((-37 - -50) + -26)?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -93, -588, -1925, -4524, -8805, -15188, -24093, -35940?\n\"Answer: -70*v**3 - v**2 - 2*v - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -31\/63 + 5\/7. Let a(y) = 7*y + 51. Let k be a(-5). Suppose 2*t = 5*d - 15, -3*t = 14*d - k*d + 17. Which is smaller: i or d?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(y) = -y**2 - 6*y - 3. Let v be g(-2). Suppose 316 = -h + v*h. Calculate the remainder when h is divided by 27.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 1 + 1. Let x = -10.93109 + 5.93109. Let o = 67\/3 - 23. Which is the third biggest value?  (a) u  (b) 0.1  (c) x  (d) o\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:23 AM and 5:48 PM?\nAnswer: 685","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: -100100010010111100 (base 2) to base 4\nAnswer: -210102330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 2437 to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is -8100\/11 bigger than 1216?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 96 and 5028.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 270041, 540412, 811107, 1082126?\n\"Answer: 162*w**2 + 269885*w - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert 3 (base 16) to base 14.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -1, 1\/3, -0.06, -0.5?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: -154160 (base 9) to base 15\nAnswer: -1d1c0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w(y) = -y**3 - 65*y**2 - 83*y - 1230. Determine w(-64).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 1 + 10212300104?\nAnswer: 10212300110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -11 or -3311\/307?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*f = -2*r - 6, 4*f + 10 = -2*r - 6. What is the first derivative of -455 - 466 + r*u**2 - 4*u + 938 wrt u?\nAnswer: 4*u - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(d) = d**3 - 8*d**2 - 7*d - 13. Let p be t(9). Suppose a = p - 2. Suppose 0 = -4*x + a*r + 42, x + 2*x = -3*r + 21. What is the units digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(t) = -t**3 + 11*t**2 - 18*t + 3. Let w be h(9). Which is the closest to w?  (a) -5\/6  (b) -1  (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 16 and 107857?\nAnswer: 1725712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -23.96295 - 0.03705. Which is the second smallest value?  (a) -3  (b) p  (c) -2  (d) -0.5  (e) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(a) = 8*a**3 - a + 6744. Is s(0) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (1 - 1 - h**2 + h)*(244*h**2 + 586*h**2 - 17*h**2) in the form n*h**3 + o*h**4 + c*h**2 + m + y*h and give o.\nAnswer: -813","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1998*z - 6030*z + 311*z.\nAnswer: -7717*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify g*g**2*g**(-5)*g*g\/(((g\/(g*g*g\/g**0))\/g)\/g)*g*g**12*g*g assuming g is positive.\nAnswer: g**19","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Does 25 divide 723?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((z**0)**12)**(10\/3) assuming z is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Put 5, -841, -3, 4, -2 in descending order.\nAnswer: 5, 4, -2, -3, -841","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let b(l) = 11*l**2 - 2*l - 1. Let g(n) = 34*n**2 - 6*n - 2. Calculate -8*b(a) + 3*g(a).\nAnswer: 14*a**2 - 2*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is -70 greater than -70?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2 + -3 + (-2 - -5 - 4).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 1a + 45c036?\nAnswer: 45c051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.1 in 2\/13, -0.368, 0.5, -0.1, -15\/8?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*g - 4*j - 54, -3*g + 5*j + 38 = -39. What is the lowest common multiple of g + 4\/(7 - 3) and 14?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*r = -w - 4*w + 122, -2*w + 2*r + 36 = 0. Suppose -3*f + 70 = m, w + 66 = 4*f + 4*m. What are the prime factors of f?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -3*t**3 - 755282619*t**2 = 0. What is t?\nAnswer: -251760873, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Express (-1321 - 3896 - 118)*(5 - 5 - 1)*(-4*p + 3*p - p) in the form i*p + n and give i.\nAnswer: -10670","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"}
{"text":"Question: Round 119 to the nearest 10.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence js when two letters picked without replacement from {j: 1, s: 6, r: 5, a: 3, b: 3}.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ozhzzoozohooorzzzo. Give prob of picking 1 h and 3 o.\nAnswer: 28\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*k + k = 0. Suppose k = 2*s - s. Solve m = r - s*r + 1, 0 = 5*r - 2*m + 14 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 688 minutes after 11:23 AM?\nAnswer: 10:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.12 and -2579.86.\nAnswer: -309.5832","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1357.\nAnswer: 23, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let x(k) = -46*k + 323. What is x(7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 290, 289, 288, 287, 286, 285?\n\"Answer: -x + 291","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2 divided by -1.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 5341992?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*z + 15 - 45. Let v(m) = -24*m - 514. Let f be v(-41). Calculate the highest common factor of z and f.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*b + 2*b + 20. Suppose 3*n - b = 22. Calculate the remainder when 39 is divided by n.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 3*z**5\/5 - 5118*z**4\/5 + 2203218*z**3\/5 - 17406252*z**2\/5 + 9100431*z - 38923254\/5 = 0. What is z?\nAnswer: 2, 3, 849","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*w - 2*z + 6 = 0, 4*w + 5*z - 6 = 9. Let l be (w + 6)*18\/(-27). Put l, -1, -2 in descending order.\nAnswer: -1, -2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -69\/10279288 and -3\/14134021?\nAnswer: 113072168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Sort 7, -3, -2, 0, -564 in decreasing order.\nAnswer: 7, 0, -2, -3, -564","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand c**3 + 0 + 0 + (c**2 + 4 - 4)*(2 - 1 - 4)*(2 - c - 2).\nAnswer: 4*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -301 + -2010012102?\nAnswer: -2010013003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -29 + 413 = -64*q for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange a**4 - 2*a**4 + 0 - a + 2*a**3 + 6*a**2 - 3 to s*a**2 + u*a**3 + f + t*a**4 + j*a and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1 in 0.05, -2\/5, -4, 4?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2344 (base 7) to base 10.\nAnswer: 865","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 32*s - 7*s - 3750 = 0. 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: Let f = 8 - 8. Let k = -4.7 + 0.7. What is the nearest to -0.2 in k, -5, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -71985 divided by -14397?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let k(p) = 8*p**2 + 6*p - 1. Let r(v) = -7*v**2 - 6*v. Let l(t) = -5*k(t) - 6*r(t). Suppose h = -h + 74. What is the remainder when h is divided by l(-4)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -4402 - -14305?\nAnswer: 5503","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: -0.66353 - -0.357\nAnswer: -0.30653","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Put 4861, 300, -3 in decreasing order.\nAnswer: 4861, 300, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 131\/2240 and 21\/1600?\nAnswer: 11200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*k = -0*y + 2*y + 18, 3*y - 33 = 3*k. Let s(o) = -o**3 - 9*o**2 - 7*o + 11. Let n be s(k). Suppose 0 = n*j - 88 + 19. List the prime factors of j.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be ((-7)\/(-3))\/((-1419)\/1422 + 1). Suppose t - 11213 = -p, t + 4*p = 10107 + g. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*b + l + 89, 3*l + 36 = b - 0*l. Suppose b + 21 = 3*o. What is the remainder when 40 is divided by o?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(y) = 2*y + 4. Let b be k(-4). Let q be (b\/(-5))\/((-1)\/(-10)). Suppose 3*f - i - 34 = -q, 5*f + 3*i = 20. What is the units digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(r) = 20*r + 27. Determine j(-5).\nAnswer: -73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 8.49149 + -0.0531?\nAnswer: 8.43839","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let y(c) = c**3 + 28*c**2 - 64*c + 45. Let o be (-658)\/22 - 3\/33. What are the prime factors of y(o)?\nAnswer: 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is one sixteenth of a kilometer in centimeters?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, -5, 0, 1, -512.\nAnswer: -512, -5, -1, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 2 + 6\/(-3) - 0. Let p be 3 + 0 + (2 - j). Suppose -10 = -p*o - x + 8, 0 = -2*x + 6. Calculate the remainder when 8 is divided by o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0021003916 to 6 dps.\nAnswer: -0.0021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let x(i) = -i**2 - 10*i - 5. Let n be x(-8). Suppose -h + 15 = n. Put -2, 6, h in descending order.\nAnswer: 6, h, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 2*v + 43*v**5 - 1 - 4 - 3*v + 2*v wrt v.\nAnswer: 860*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 14219946\/22792231 - 5\/71449. Let r = -26\/29 + q. Which is smaller: r or 0?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 6.25606 to zero dps.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-1)\/(-2))\/1*(-197 + 135).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose w - 2 = p + 3*w, 8 = -4*p - 3*w. Let q(v) = -v - 1. Let d(c) = -3*c - 5. Let r(x) = -d(x) + 6*q(x). What is the units digit of r(p)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 62 bigger than 501\/8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) -37  (b) 1\/2  (c) -192  (d) 1  (e) -0.3  (f) 2\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let q(f) = -3*f. Suppose -63 = -479*r + 476*r. Let d(u) = -r*u + 39*u - 10*u. Determine d(q(x)).\nAnswer: -24*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 3 + 0. Suppose x = -f + 5. Suppose -2*w = -2*a - f*a + 42, 2*w = 2. Round a to the nearest 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 4194 and 26118?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 172 minutes after 12:27 PM?\nAnswer: 3:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in 3\/5 of a millimeter?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a(g) = g**2 + 8*g + 9. Let m be a(-7). Suppose 2*z + 56 = -m*z. Let x = 13 + z. What is the closest to -1\/4 in 0.3, -2, x?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(s) = s**3 + 14*s**2 - 13*s - 10. Let r be t(-10). Suppose 11*j - 6*j - r = 0. Is 4 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 140 and 120.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5839 = 2*z + 3*h, -19*z + 5857 = -17*z + h. List the prime factors of z.\nAnswer: 7, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -43*o = -45*o + 2994. List the prime factors of o.\nAnswer: 3, 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -956813, -956532, -955761, -954254, -951765?\n\"Answer: 41*c**3 - c**2 - 3*c - 956850","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 21 - 14. Let x = 28 - 24. Put x, a, 0 in descending order.\nAnswer: a, x, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -1\/6  (b) -3  (c) -0.12  (d) 6  (e) -0.043\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 359886.\nAnswer: 2, 3, 59981","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let p(s) = -9*s - 54. Let j be p(-7). Sort 4, j, 10.\nAnswer: 4, j, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d**11\/((d*d**(-4\/7)\/d*d)\/d))\/(d**4\/d*d)**(-19) assuming d is positive.\nAnswer: d**(613\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 9 - 11. Let a be ((-15)\/(-35))\/(d\/(-14)). Suppose 3*g = a*h - 60, 3*g = 3*h - 8*h + 68. List the prime factors of h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(h) = 11*h**3 - 75*h**2 + 130*h + 10. Calculate w(5).\nAnswer: 160","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -o = -2*c + 967, 13*c + 2*o = 8*c + 2413. What is the greatest common divisor of 21 and c?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -30805378*i - 26530885.\nAnswer: -30805378","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 0  (b) 0.3  (c) -13  (d) 0.06  (e) 160  (f) 0.4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -322*z - 318*z = -643*z + 24 for z.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -45833, -45798, -45735, -45638, -45501?\n\"Answer: t**3 + 8*t**2 + 4*t - 45846","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 16*v = 14*v - 4, 0 = 5*y - 4*v - 998. Calculate the lowest common multiple of 66 and y.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 10879 - 7857. What are the prime factors of m?\nAnswer: 2, 1511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(b) be the first derivative of -1\/4*b**4 - 5*b + 7\/3*b**3 + 0*b**2 - 3. Is 13 a factor of l(6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 10550 + 239640 = -1970*a for a.\nAnswer: -127","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Factor 10\/9*r - 4\/3*r**3 + 2\/9*r**5 - 4\/9*r**2 - 2\/9*r**4 + 2\/3.\nAnswer: 2*(r - 3)*(r - 1)*(r + 1)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -88 - -93. Solve -3*c - z - 7 = 0 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(j) = -5*j + 4. Let l(s) = -s**2 + 18*s - 79. Let h be l(13). Let d(b) = -3 - 3*b - 11*b + 7 - b**2. Let g be d(h). Give a(g).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*f + 5*w = -5*f + 10, -3*w - 15 = -3*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(143) + sqrt(143)*-1*3 + 1*(2*sqrt(143) + sqrt(143) + sqrt(143)))\/((sqrt(132) - (sqrt(132) + sqrt(132)*1*-3) - sqrt(132))\/(sqrt(1452)*-1)).\nAnswer: -11*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1 or 23\/2063?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 140*b**2*i**2 + 11*b**2 + 9*b*i**3 + 253*i**3 + i**2 + 4 wrt b.\nAnswer: 280*b*i**2 + 22*b + 9*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 28941 is divided by 14124.\nAnswer: 693","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let z(c) = c + 3 - 1 + 4. Let r be z(-4). Suppose -d = -r - 33. What is the highest common divisor of 5 and d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 254 divide 1293368?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1080 is divided by 57.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -1.51 + 1.5. Let o = 0.13 - y. Let j = -0.86 - o. Which is smaller: j or 4?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -13 + 23. Let s = -58 + 139. Let p = s + z. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*j + 7*j - 5*a + 3344 = 0, 0 = 5*j - 4*a + 4189. Round j to the nearest one hundred.\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -34 + 21. Let b = 970514.7 - 970515. Which is smaller: j or b?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -70, -53, 3 in ascending order.\nAnswer: -70, -53, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 34261139.\nAnswer: 11, 1741, 1789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 1876 and 19879972?\nAnswer: 1876","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let o(a) be the third derivative of a**5\/60 - a**4\/12 - 7*a**3\/6 + 10*a**2. What is the units digit of o(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 31066780?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let s(w) = -w**2 + 5*w + 9. Let a be s(6). Suppose -5*c - 5 = a*n, -n - 21 = -3*c + 2*n. Suppose 11 - c = 3*g. Solve 2*d - 2 = g*k + 7, -5*k - 20 = -5*d for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1409*n + 1083*n + 2542*n)*(2*n**2 + n**2 - n**2).\nAnswer: 4432*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*q + 2278895*q**2 - 2*q - 2278895*q**2 + 2*q**3 - 1.\nAnswer: 2*q**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 9098 divided by -2?\nAnswer: -4549","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate v**2*x**2 - 48*v*x**3 - 6*v + 2*x**3 - 568*x**2 wrt v.\nAnswer: 2*v*x**2 - 48*x**3 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let b(p) = -p - 8. Let r be 18*-2*(-1)\/(-3). Let m be b(r). Suppose 3*z = -i + 5, m*i - 23 + 3 = -2*z. Solve z = d - 2 - 2 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 + 1 - 1)*(0*q + 0*q + q**3) - 2*q**3 + 6*q**3 - q**3 + (3*q**2 + 3*q**2 - 5*q**2)*(0 + 0 - 2*q) - 2*q**3 + 2*q - 2*q + 17*q**3 + 10*q**3 + 25*q**3.\nAnswer: 53*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let h(z) = 111*z**2. Suppose -5*j + 2*c = -20, 3*j - 2*c = 4*j + 8. Let m(o) = j - 55*o - 2 + 55*o + 2*o**2. Give m(h(a)).\nAnswer: 24642*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 36246566?\nAnswer: 2, 19, 61, 823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 310430?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 2 + -4. Let s(h) = -3*h**2 + 3. Let n(o) = -7*o**2 + 7. Let w(y) = f*n(y) + 5*s(y). Let w(m) = 0. What is m?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -17 - 23 - 9 - 3*d.\nAnswer: -3*d - 49","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 132728?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*l + 4*h - 3*h - 9 = -5*h, -5*l = h + 59 for l.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 834458.390019 - 834458. Let q = 0.13 + 0.26. Let w = k - q. What is w rounded to 5 dps?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 13 a factor of 75032810?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 2  (b) 0.16  (c) 3\/140\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 11565731 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from yunywlg. Give prob of sequence nylw.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -14488755, -14488749, -14488739, -14488725, -14488707, -14488685?\nAnswer: -14488659","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -1237\/72 - -141\/8. Which is the second smallest value?  (a) g  (b) 2\/9  (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be ((-24)\/18)\/(4\/42). Let y(i) = -i**3 - 13*i**2 + 12*i - 3. List the prime factors of y(h).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(p) = -37*p**2 + p + 2. Let y be s(-1). What is the tens digit of (-8)\/y - 626\/(-18)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 143\/2484 and -59\/552.\nAnswer: 4968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0 (base 7) to base 8.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3*((-3959)\/(-111) - 32).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1780 is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let h(l) = -2*l**3 - 128*l**2 - 1079*l + 46. Determine h(-54).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-3)\/4)\/(-30*20\/(-1600)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.048132 and 2.26?\nAnswer: -0.10877832","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0000879455 rounded to 6 dps?\nAnswer: -0.000088","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 3391 - -1?\nAnswer: 3392","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*g + 2*d = 26, -5*g - d - 32 = -10*g. Suppose 2*q - q = g. Calculate the highest common divisor of 6 and q.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*s - 29*y = -27*y + 3, 17 = 5*s - 3*y for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -10 + 83*v - 11 - 18*v - 75*v to the form n + a*v and give n.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 234 a factor of 33824499?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 807315 <= 807315?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -15052362, -15052358, -15052354, -15052350, -15052346?\n\"Answer: 4*w - 15052366","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Express (-7 + 7 - m)*(0*m**2 + m**2 - 3*m**2)*(3 - 4 + 3 + (-2 + 3 + 1)*(4 + 0 - 2) + 0 + 1 - 4) in the form u*m**3 + v*m + o + y*m**2 and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 386 minutes before 1:17 PM?\nAnswer: 6:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -68193093, -68193091, -68193089, -68193087?\nAnswer: -68193085","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 88 + 201?\nAnswer: 289","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let m(l) = -l**2 - 5*l. Let r be m(-3). Let a be (10\/r)\/((-1)\/(-6)). Let q = a + -10. Let g(b) = b**3 - b + 6. What is g(q)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 840, 3360, 7562, 13446, 21012, 30260?\nAnswer: 41190","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 384982351 to the power of 1\/8, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*t + 1 - 6 = 0, -4*z - 2 = 2*t for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is (9\/(-3))\/(39\/(-6) - -2)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 228503 to the power of 1\/2, to the nearest integer?\nAnswer: 478","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 6 + -4. Suppose -i = 4*d - 7, 3*d - 3*i = -q*i + 14. Suppose d*g + 2 - 3 = -2*u, 0 = -2*g - 5*u - 14. Solve -g*o + 8 = 3*f - 7, -18 = -4*o - 3*f for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -60 + 118 = -z + 66. Suppose 0 = -4*h - t + 291, 0 = -5*t + 2*t - 15. Calculate the smallest common multiple of z and h.\nAnswer: 296","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in one twentieth of a litre?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11*d - 5382 = -12*d. What are the prime factors of d?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 570778934, 570778936, 570778938, 570778940, 570778942, 570778944?\n\"Answer: 2*i + 570778932","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Are 2502 and 2514 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1070*y + 116 - 1072*y - 116.\nAnswer: -2*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Does 13 divide 16241?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -86d9 - 5?\nAnswer: -86de","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 11*q - 12*q + g + 4 = 0, 4*g = 5*q - 15 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let y(k) be the second derivative of -4*k**3 + 50 - 3*k - 1\/20*k**6 + 3\/40*k**5 + 2*k**4 + 0*k**2. Find u, given that y(u) = 0.\nAnswer: -4, 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 31\/5 of a meter in centimeters?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -516 - -23221\/45. Let a = o + -16\/45. Let b be ((-8)\/12)\/((-2)\/3). What is the biggest value in a, 3\/4, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Total of -16 and -0.02656.\nAnswer: -16.02656","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -129 + 131. Suppose 3*j = -0*j + n*x + 24, j = 3*x + 15. What is the remainder when 57 is divided by j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 33820 is divided by 3757.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, -299, -4, 2 in ascending order.\nAnswer: -299, -4, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 224*z + 590*z - 19536 = 0 for z.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.08869 rounded to 3 dps?\nAnswer: -0.089","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*p - 25 = 5*c, 2*p + 15 = 5*p + c. Let l = 9 + p. Calculate the lowest common multiple of l and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 476013261 to the nearest integer?\nAnswer: 781","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: 39 + -71 + 56 + 2\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l(s) = 5*s**2 + s + 1. Let h be l(-1). Suppose -5*p + 195 = -10*p. Let o = -27 - p. Solve -h*r - 20 = -0*f - 2*f, -3*f + o = -3*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(r) = r + 8. Let j be v(-6). Suppose 0 = -4*h - d - 3*d + 1908, 3*h = 5*d + 1423. Let t = -472 + h. Solve j*k = f, -t*k = -4*f - 2*k for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -562, -2231, -5012, -8905, -13910, -20027?\n\"Answer: -556*c**2 - c - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort 12, 0, 1866, 3, -1\/4 in ascending order.\nAnswer: -1\/4, 0, 3, 12, 1866","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let d(t) = 15*t - 539. Calculate d(36).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*k - a - 4, 4*k + a + 20 = -4*a. Solve 5*c = 2*d + 8, d = -k*c - 5*c + 11 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -1152b + 972?\nAnswer: -10bb9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let f(o) = 2*o**2 - 193*o + 4399. Give f(43).\nAnswer: -202","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Divide -703 by 139.\nAnswer: -703\/139","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*t - 15 - 13. Suppose -2*l = 15 + 3. Let x = l - t. Let v(p) = -p**3 + 5*p**2 - 2*p - 3. What is v(x)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 6\/20*16\/(-24)\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 141490 and 170?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 3*w - 3, 2*k + 137*w + 10 = 139*w for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -m = -4*q - 5*m + 64, -84 = -5*q - 3*m. What is n in 5*n + q + 2*n**2 + n + 7*n - n = 0?\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many hours are there in 374.82723ns?\nAnswer: 0.000000000104118675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 127 = -5*t - k + 4*k, -915*t - 909*t + k - 27 = -1823*t for t.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let s(m) = -8*m. Let y(l) be the third derivative of -l**4\/8 + 10*l**2. Calculate y(s(i)).\nAnswer: 24*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*v = 3*v + 2*l, 2*l = -5*v. Suppose 0 = y - 2*y - 5*s - 11, -y - s - 19 = v. Let t = -19 - y. Solve -3*m + t*m = 0 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be -3*(3 + 3761\/(-3)). Suppose -4*i - k = -3*j, -3*j = 2*i - 3*i - 938. Let b = -121 - i. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 26 = 5*w - 3*a, 3 = -a + 1. What is the nearest to w in 0.1, 5, -1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-4)\/(-5)*1*-5. Suppose 0 = -18*g + 33 - 33 + 54. Sort a, g, 4, 10.\nAnswer: a, g, 4, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence tpxx when four letters picked without replacement from {p: 1, i: 2, t: 1, y: 5, x: 3}.\nAnswer: 1\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.744 and 3.\nAnswer: 2.232","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 115.0184 rounded to the nearest integer?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let h be ((-1)\/1)\/(1\/(-4)). Suppose h = 3*c - 2. Suppose 3*q - c = 2*q. What are the prime factors of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -22 or 22?\nAnswer: -22","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -2.24 - -2.27. What is the smallest value in 3\/4, 1\/4, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 56749095?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let g(f) = f**3 - 2*f**2 + 4*f - 8. Let s be g(6). Suppose -18*q + 23*q = s. Suppose -q - 17 = -7*o. What is the greatest common divisor of 28 and o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -0.106 + 0.106049. Round r to 5 decimal places.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -p - 2*p = 3*j - 12, -20 = -5*j + p. Suppose 2*a + 2*h - 10 = 0, -4*a - 11 + 1 = -2*h. Solve a = -3*d + j + 8 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*y - q - 8, 2*y - 10 = q - 4*q. Let v = 0.129 - 1.329. Which is the second biggest value?  (a) v  (b) 0  (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -4 - -1 - 6\/(-3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 43477757069 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*l**3\/2 + 431085*l**2\/2 + 7760367*l\/2 + 19401255\/2 = 0. What is l?\nAnswer: -15, -3, 143713","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 13 and 210769.\nAnswer: 210769","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 143\/3 + (-3)\/(-9). Let k = o + -25. Suppose -k - 7 = 5*g. Round g to the nearest ten.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -5*w**4 + 2*w**3 + 4*w**4 - w**3 + 28443 - 28430 + w**2 to d*w**3 + p*w**4 + j*w**2 + b + o*w and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -151 and -0.02?\nAnswer: 3.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 4\/50 - (778448\/(-4400) - -133)?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -108*v + 4*g = -111*v + 404, -4*v - 4*g = -536. Calculate the least common multiple of 56 and v.\nAnswer: 1848","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 31224336 a multiple of 2288?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 18.3 - 166.3. Let h = s - -147.6. Let l = -16 + 8. Which is the smallest value?  (a) h  (b) 4\/5  (c) l  (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-102)\/18 + 32\/12\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*s - o + 32, -2*s - 21*o + 16*o = -16. Calculate the remainder when 250 is divided by s.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (8\/7)\/((-4)\/(-14)). Suppose -m - b = -w - 15, -w = 4*m - 24. Solve -3*c + m = -3*a + 1, -30 = 5*c + 5*a for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2\/(12\/14)*12\/420*-4?\nAnswer: -4\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -31 divided by 118943.\nAnswer: -31\/118943","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -1277379*w**4 - 352*w**2 - 17170*w wrt w?\nAnswer: -30657096*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 10155, 10154, 10153?\nAnswer: 10152","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is o in 34*o**4 + 138*o**3 - 232*o**2 - 360*o = 0?\nAnswer: -5, -18\/17, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Put -62, 5, -910, -5, 100 in descending order.\nAnswer: 100, 5, -5, -62, -910","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 9 and (-3)\/15 + (-448)\/(-40)?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(m) = -16*m + 880. What is j(55)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1001?\nAnswer: 7, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let u(m) = 4*m**2 - 11*m + 2. Let o be u(3). Suppose 2*v + 387 = 4*w + 87, -2*w - o*v = -174. Let s = w + -66. Is s even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 26512 to the nearest one hundred.\nAnswer: 26500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -10 = -o + 3*y, -207*o + 205*o = y + 8 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -47*g + 3960 = -3*g. What is the remainder when g is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 1725402, 1725280, 1725162, 1725048, 1724938, 1724832, 1724730?\nAnswer: 1724632","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}